Practical machine learning

Summary

This exercise presents summary and analysis of the weight lifting exercises dataset as part of the Coursera Practical Machine Learning course.

The data is here. It consists of a series of measures on 6 healthy volunteers of 10 repetitions of Unilateral Dumbell Curls (UDC) performed in 5 different ways of which one was correct. The objective of the analysis is to predict which form of UDC each of 20 test subjects performed.

First we need to downoad and examine the data.

Downloads

train <- read.csv("https://d396qusza40orc.cloudfront.net/predmachlearn/pml-training.csv", na.strings = c("NA","#DIV/0!"))

test <- read.csv("https://d396qusza40orc.cloudfront.net/predmachlearn/pml-testing.csv", na.strings = c("NA","#DIV/0!"))
dim (train)

## [1] 19622   160

Extract the sensor data

We need to limit the dataset to the measure variables only, and we will exclude those variables with high proportions of missing data.

sensordata <- grep(pattern = "_belt|_arm|_dumbbell|_forearm", names(train))
data <- train[,c(sensordata, 160)]
datatest <- test[,c(sensordata, 160)]

nadata<- apply(data, 2, function(x) mean(is.na(x)))
t <- which(nadata >0)
train1 <- data[,-t]

nadatatest<- apply(datatest, 2, function(x) mean(is.na(x)))
t <- which(nadatatest >0)
test1 <- datatest[,-t]

dim(train1); dim(test1)

## [1] 19622    53

## [1] 20 53

Loading necessary packages

library(caret)

## Loading required package: lattice
## Loading required package: ggplot2

library(randomForest)

## randomForest 4.6-12
## Type rfNews() to see new features/changes/bug fixes.
## 
## Attaching package: 'randomForest'
## 
## The following object is masked from 'package:ggplot2':
## 
##     margin
## 
## The following object is masked from 'package:dplyr':
## 
##     combine

library(corrplot)

Setting up training and test sets

## partition data
set.seed(123)
train <- createDataPartition(train1$classe, p=0.6, list = FALSE)
inTrain <- train1[train,]
inTest <- train1[-train,]
dim(inTrain); dim(inTest)

## [1] 11776    53

## [1] 7846   53

Examine relationships between variables

library(corrplot)
cor <- cor(inTrain[, -53])
corrplot(cor, order = "FPC", method = "color", type = "lower", tl.cex = 0.7, tl.col = rgb(0, 0, 0))

Tree approach

modtree <- train(classe~., data = inTrain, method = "rpart")

## Loading required package: rpart

summary(modtree)

## Call:
## rpart(formula = .outcome ~ ., data = list(roll_belt = c(1.42, 
## 1.48, 1.45, 1.45, 1.45, 1.43, 1.42, 1.51, 1.55, 1.57, 1.59, 1.6, 
## 1.56, 1.53, 1.55, 1.54, 1.52, 1.44, 1.43, 1.44, 1.41, 1.41, 1.4, 
## 1.4, 1.39, 1.3, 1.3, 1.33, 1.33, 1.3, 1.26, 1.26, 1.27, 1.25, 
## 1.23, 1.25, 1.26, 1.27, 1.28, 1.23, 1.2, 1.17, 1.16, 1.15, 1.18, 
## 1.18, 1.18, 1.14, 1.13, 1.1, 1.09, 1.08, 1.06, 1.04, 1.04, 1.03, 
## 1.02, 1, 1.02, 1.01, 1.04, 1.03, 1.05, 1.04, 1.03, 1.03, 1.05, 
## 1.08, 1.06, 1.04, 1.07, 1.15, 1.22, 1.27, 1.32, 1.24, 1.12, 1.05, 
## 1.13, 1.16, 1.16, 1.38, 1.4, 1.4, 1.41, 1.44, 1.44, 1.48, 1.49, 
## 1.44, 1.4, 1.22, 1.23, 1.1, 0.93, 0.92, 0.91, 0.9, 0.9, 0.88, 
## 0.91, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 128, 
## 128, 128, 128, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 128, 128, 128, 
## 128, 128, 128, 128, 127, 127, 127, 127, 127, 127, 127, 127, 128, 
## 128, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 126, 126, 
## 126, 126, 127, 127, 127, 127, 127, 126, 126, 126, 126, 125, 125, 
## 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 124, 124, 124, 
## 123, 124, 124, 124, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 123, 123, 123, 
## 123, 123, 123, 123, 124, 124, 124, 124, 123, 123, 122, 123, 123, 
## 123, 123, 123, 123, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 123, 123, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 123, 123, 123, 123, 
## 123, 123, 122, 122, 122, 122, 123, 123, 123, 123, 123, 123, 123, 
## 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 124, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 122, 122, 122, 122, 123, 123, 123, 123, 123, 123, 123, 124, 124, 
## 124, 124, 124, 124, 124, 124, 122, 122, 122, 122, 123, 123, 123, 
## 123, 123, 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 
## 125, 125, 125, 125, 126, 126, 126, 127, 127, 127, 128, 128, 128, 
## 128, 129, 129, 129, 129, 129, 129, 129, 130, 130, 130, 130, 130, 
## 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 
## 130, 130, 130, 130, 130, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 119, 119, 119, 
## 118, 118, 118, 118, 118, 117, 117, 117, 117, 117, 129, 129, 129, 
## 129, 129, 129, 129, 129, 126, 125, 125, 126, 126, 126, 127, 127, 
## 127, 127, 127, 126, 126, 126, 126, 126, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 127, 127, 127, 128, 128, 128, 128, 128, 128, 128, 
## 127, 127, 127, 127, 126, 126, 125, 125, 125, 125, 125, 126, 126, 
## 126, 126, 127, 127, 127, 127, 128, 128, 128, 129, 129, 129, 130, 
## 130, 130, 131, 131, 131, 131, 131, 131, 130, 129, 128, 128, 127, 
## 126, 126, 126, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 
## 124, 124, 124, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 122, 122, 122, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 122, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 122, 121, 121, 121, 121, 121, 122, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 1.67, 
## 1.18, 0.99, 0.92, 0.92, 1.08, 1.14, 1.19, 1.25, 1.32, 1.37, 1.41, 
## 1.44, 1.57, 1.61, 1.7, 1.7, 1.73, 1.75, 1.8, 1.77, 1.5, 1.36, 
## 1.23, 1.24, 1.26, 1.26, 1.26, 1.24, 1.16, 1.16, 1.27, 1.28, 1.27, 
## 1.29, 1.46, 1.63, 1.45, 1.48, 1.5, 1.57, 1.61, 1.65, 1.69, 1.64, 
## 1.61, 1.52, 1.45, 1.35, 1.28, 1.28, 1.35, 1.36, 1.33, 1.34, 1.35, 
## 1.32, 1.33, 1.3, 1.35, 1.4, 1.47, 1.51, 1.53, 1.66, 1.78, 1.79, 
## 1.85, 1.9, 1.89, 1.89, 1.68, 1.49, 1.15, 0.7, 0.71, 0.72, 0.74, 
## 1.39, 1.46, 1.64, 1.7, 1.85, 1.91, 1.97, 2.04, 1.98, 1.93, 1.88, 
## 1.82, 1.77, 1.55, 1.51, 1.42, 1.35, 1.19, 1.1, 1.09, 1, 0.99, 
## 0.98, 0.97, 0.99, 1, 1.04, 1.07, 1.13, 1.43, 1.59, 1.72, 1.77, 
## 1.81, 1.92, 1.96, 1.94, 1.93, 1.7, 1.58, 1.4, 1.08, 1.02, 0.9, 
## 0.89, 0.87, 0.87, 0.88, 0.87, 1.02, 1.12, 1.17, 1.27, 1.36, 1.43, 
## 1.46, 1.22, 1.39, 1.41, 1.36, 1.37, 1.37, 1.36, 1.26, 1.19, 1.13, 
## 1.07, 0.93, 0.87, 0.62, 0.61, 0.77, 1.12, 1.29, 1.39, 1.44, 1.72, 
## 1.77, 2.04, 2.05, 2.04, 2.01, 1.82, 1.55, 1.49, 1.36, 1.14, 1.1, 
## 1.07, 1.03, 1, 1.6, 1.64, 1.64, 1.57, 1.51, 1.43, 1.39, 1.32, 
## 1, 0.95, 0.77, 0.82, 0.93, 1.07, 1.13, 1.47, 1.56, 1.81, 1.89, 
## 1.93, 2.01, 2.02, 1.88, 1.66, 1.21, 1.09, 0.93, 0.93, 0.93, 0.94, 
## 0.88, 0.87, 1.27, 1.23, 1.15, 1.09, 1.09, 1.1, 1.11, 1.17, 1.18, 
## 1.42, 1.53, 1.82, 1.89, 1.92, 1.94, 1.91, 1.18, 1.11, 0.87, 0.76, 
## 0.74, 0.9, 1.21, 1.32, 1.5, 1.53, 1.6, 1.63, 1.67, 1.73, 1.77, 
## 1.81, 1.53, 1.06, 0.95, 0.8, 0.76, 0.74, 0.76, 0.77, 0.71, 0.71, 
## 0.71, 0.73, 0.77, 1.01, 1.09, 1.17, 1.37, 1.57, 1.58, 1.54, 1.54, 
## 1.49, 1.45, 1.39, 1.3, 1.21, 1.1, 0.93, 0.85, 0.6, 0.58, 0.59, 
## 0.6, 0.75, 1.05, 1.1, 1.69, 1.81, 2.01, 2.09, 2, 1.97, 1.78, 
## 1.57, 1.42, 1.33, 0.99, 0.95, 0.92, 0.9, 1.03, 0.98, 0.96, 0.97, 
## 0.97, 1.04, 1.09, 1.12, 1.16, 1.18, 1.25, 1.27, 1.28, 1.31, 1.31, 
## 1.36, 1.38, 1.34, 1.33, 1.36, 1.36, 1.4, 1.39, 1.39, 1.4, 1.44, 
## 1.42, 1.41, 1.4, 1.39, 1.38, 1.32, 1.33, 1.35, 1.36, 1.37, 1.41, 
## 1.41, 1.44, 1.47, 1.58, 1.6, 1.7, 1.78, 1.83, 1.89, 1.92, 1.93, 
## 1.94, 1.9, 1.83, 1.5, 1.42, 1.35, 1.55, 1.57, 1.56, 1.76, 1.98, 
## 1.93, 1.91, 1.92, 1.88, 1.77, 1.64, 1.56, 1.36, 1.01, 0.55, 0.5, 
## 0.38, 0.39, 0.42, 1.71, 1.85, 1.97, 2.04, 2.04, 2, 2, 1.77, 1.5, 
## 1.42, 1.34, 1.05, 0.97, 0.84, 0.93, 1.09, 1.14, 0.53, 0.53, 0.54, 
## 0.53, 0.55, 0.59, 0.61, 0.62, 0.63, 0.63, 0.71, 0.74, 0.77, 0.77, 
## 0.73, 0.73, 0.73, 0.74, 0.74, 0.72, 0.64, 0.76, 0.77, 0.77, 0.75, 
## 0.77, 0.78, 0.77, 0.78, 0.76, 0.77, 0.75, 0.7, 0.69, 0.71, 0.71, 
## 0.7, 0.69, 0.69, 0.77, 0.77, 0.79, 0.81, 0.83, 0.83, 0.84, 0.9, 
## 0.92, 0.96, 1, 0.99, 0.98, 1.05, 1.06, 1.06, 1.06, 1.07, 1.01, 
## 0.99, 0.98, 0.97, 0.95, 0.93, 0.92, 0.9, 0.9, 0.92, 0.92, 0.91, 
## 0.85, 0.8, 0.77, 0.7, 0.69, 0.58, 0.4, 0.28, 0.3, 0.34, 0.4, 
## 0.37, 0.31, 0.29, 0.21, 0.19, 0.19, 0.19, 0.2, 0.22, 0.21, 0.2, 
## 0.18, 0.16, 0.15, 0.15, 0.17, 0.16, 0.19, 0.21, 0.24, 0.25, 0.29, 
## 0.3, 0.4, 0.49, 0.5, 0.57, 0.53, 0.71, 0.51, 0.5, 0.46, 0.42, 
## 0.37, 0.37, 0.38, 0.4, 0.39, 0.43, 0.45, 0.45, 0.47, 0.48, 0.49, 
## 0.53, 0.53, 0.52, 0.51, 0.49, 0.45, 0.44, 0.54, 0.59, 0.63, 0.68, 
## 0.71, 0.81, 0.88, 0.84, 0.84, 0.76, 0.71, 0.66, 0.57, 0.56, 0.54, 
## 0.53, 0.52, 0.46, 0.48, 0.48, 0.52, 0.56, 0.58, 0.44, 0.48, 0.53, 
## 0.45, 0.47, 0.62, 0.6, 0.47, 0.52, 0.57, 0.53, 0.46, 0.58, 0.61, 
## 0.43, 0.38, 0.42, 0.72, 0.66, 0.68, 0.69, 0.67, 0.55, 0.72, 0.76, 
## 0.68, 0.69, 0.73, 0.75, 0.7, 0.7, 0.76, 0.78, 0.76, 0.77, 0.76, 
## 0.76, 0.76, 0.78, 0.79, 0.79, 0.76, 0.75, 0.77, 0.66, 0.64, 0.61, 
## 0.6, 0.56, 0.53, 0.53, 0.53, 0.53, 0.56, 0.64, 0.67, 0.68, 0.68, 
## 1.01, 1.03, 1.04, 1.04, 1.08, 1.29, 1.42, 1.47, 1.62, 1.6, 1.66, 
## 1.7, 1.71, 1.63, 1.53, 1.36, 1.24, 1.17, 1.17, 1.02, 1.01, 1.05, 
## 1.07, 1.07, 1.05, 1.02, 0.95, 0.94, 0.95, 0.94, 0.95, 0.96, 0.98, 
## 1.01, 1.04, 1.06, 1.08, 1.4, 1.28, 1.41, 1.42, 1.41, 1.44, 1.42, 
## 1.51, 1.62, 1.69, 1.73, 1.68, 1.7, 1.73, 1.83, 1.85, 1.85, 1.91, 
## 1.92, 1.91, 1.88, 1.88, 1.83, 1.79, 1.73, 1.65, 1.63, 1.63, 1.49, 
## 1.48, 1.49, 1.51, 1.4, 1.44, 1.46, 1.4, 1.39, 1.38, 1.39, 1.39, 
## 1.35, 1.27, 1.19, 1.18, 1.52, 1.34, 1.21, 1.45, 1.48, 1.4, 1.4, 
## 1.47, 1.49, 1.44, 1.44, 1.42, 1.42, 1.41, 1.24, 1.2, 1.15, 1.21, 
## 1.21, 1.2, 1.21, 1.36, 1.52, 1.54, 1.49, 1.48, 1.32, 1.32, 1.32, 
## 1.43, 1.43, 1.45, 1.44, 1.41, 1.29, 1.25, 1.11, 1.08, 1.1, 1.19, 
## 1.1, 1.26, 1.3, 1.33, 1.37, 1.39, 1.37, 1.39, 1.34, 1.34, 1.32, 
## 1.29, 1.18, 1.1, 0.9, 0.86, 0.79, 0.81, 0.8, 0.72, 0.69, 0.68, 
## 0.87, 0.98, 1.15, 1.15, 1.17, 1.16, 1.41, 1.43, 1.64, 1.68, 1.71, 
## 1.68, 1.6, 1.6, 1.63, 1.86, 1.79, 1.58, 1.48, 1.37, 1.25, 1.23, 
## 1.19, 1.22, 1.12, 0.95, 0.91, 0.9, 0.87, 0.8, 0.84, 0.79, 0.78, 
## 0.78, 0.86, 0.91, 0.99, 1.05, 1.17, 1.4, 1.44, 1.42, 1.44, 1.67, 
## 1.79, 1.72, 1.58, 1.7, 1.72, 1.76, 1.7, 1.62, 1.62, 1.61, 1.66, 
## 1.49, 1.43, 1.32, 1.33, 1.15, 1.17, 1.08, 1.1, 1.1, 1.12, 1.14, 
## 1.2, 1.16, 1.13, 1.17, 1.16, 1.27, 1.35, 1.42, 1.56, 1.54, 1.51, 
## 1.3, 1.25, 1.29, 1.33, 1.46, 1.43, 1.33, 1.3, 1.34, 1.32, 1.37, 
## 1.44, 1.35, 1.18, 1.1, 1.03, 0.99, 0.94, 0.96, 0.89, 0.87, 0.78, 
## 0.78, 0.91, 1.13, 1.27, 1.28, 1.37, 1.47, 1.46, 1.34, 1.36, 1.38, 
## 1.73, 1.77, 1.68, 1.74, 1.58, 1.59, 1.61, 1.33, 1.48, 1.51, 1.66, 
## 1.78, 1.78, 1.84, 1.79, 1.72, 1.81, 2, 2.11, 2.01, 1.83, 1.73, 
## 1.66, 1.67, 1.67, 1.47, 1.37, 1.36, 1.27, 1.19, 1.09, 1.04, 0.98, 
## 0.91, 0.87, 0.87, 0.71, 0.74, 0.75, 0.82, 0.86, 0.9, 1.01, 1.29, 
## 1.43, 1.42, 1.42, 1.48, 1.52, 1.54, 1.58, 1.79, 1.74, 1.67, 1.66, 
## 1.66, 1.79, 1.71, 1.75, 1.59, 1.52, 1.56, 1.56, 1.54, 1.55, 1.51, 
## 1.48, 1.42, 1.45, 1.22, 1.22, 1.07, 0.91, 0.83, 0.78, 0.7, 0.64, 
## 0.55, 0.58, 0.87, 0.9, 0.93, 1, 1.11, 1.2, 1.21, 1.22, 1.22, 
## 1.2, 1.18, 1.17, 1.19, 1.17, 1.18, 1.17, 1.13, 1.12, 1.13, 1.14, 
## 1.13, 1.12, 1.1, 1.04, 1.05, 1.07, 1.06, 1.09, 1.11, 1.09, 1.2, 
## 1.22, 1.23, 1.23, 1.29, 1.33, 1.39, 1.41, 1.4, 1.38, 1.36, 1.32, 
## 1.33, 0.56, 0.6, 0.47, 0.52, 0.56, 0.57, 0.56, 0.51, 0.49, 0.45, 
## 0.44, 0.43, 0.4, 0.36, 0.37, 0.38, 0.39, 0.35, 0.36, 0.37, 0.37, 
## 0.34, 0.34, 0.35, 0.32, 0.31, 0.31, 0.32, 0.33, 0.35, 0.4, 0.42, 
## 0.44, 0.46, 0.44, 0.44, 0.45, 0.5, 0.46, 0.42, 0.46, 0.46, 0.45, 
## 0.46, 0.57, 0.56, 0.49, 0.38, 0.38, 0.38, 0.38, 0.47, 0.45, 0.43, 
## 0.38, 0.34, 0.41, 0.42, 0.38, 0.4, 0.4, 0.43, 0.44, 0.44, 0.45, 
## 0.45, 0.48, 0.48, 0.52, 0.6, 0.64, 0.68, 0.9, 0.83, 0.77, 0.67, 
## 0.44, 0.15, 0.11, 0.16, 0.24, 0.26, 0.25, 0.27, 0.27, 0.31, 0.33, 
## 0.36, 0.37, 0.41, 0.46, 0.58, 0.83, 0.95, 1.04, 1.14, 1.22, 1.27, 
## 1.28, 1.25, 1.23, 1.21, 1.2, 1.18, 1.16, 1.14, 1.06, 0.92, 0.92, 
## 0.94, 0.94, 0.95, 0.95, 0.94, 0.94, 0.95, 0.94, 0.84, 0.87, 0.93, 
## 0.95, 0.98, 1.02, 1.22, 1.23, 1.25, 0.87, 0.88, 0.96, 1.02, 1.1, 
## 1.14, 1.28, 1.29, 1.21, 1.33, 1.4, 1.36, 1.34, 1.33, 1.36, 1.4, 
## 1.47, 1.48, 1.48, 1.46, 1.48, 1.46, 1.45, 1.43, 1.29, 1.26, 1.14, 
## 1.06, 0.68, 0.67, 0.64, 0.57, 0.22, 0.24, 0.34, 0.39, 0.61, 0.62, 
## 0.66, 0.71, 0.74, 0.79, 0.85, 0.86, 0.85, 0.87, 0.91, 0.89, 0.86, 
## 0.85, 0.86, 0.85, 0.93, 0.95, 1, 0.99, 0.99, 1.05, 0.99, 0.95, 
## 0.94, 0.91, 0.84, 0.7, 0.59, 0.53, 0.58, 0.47, 0.46, 0.45, 0.53, 
## 0.58, 0.62, 0.71, 0.74, 0.78, 1, 1.14, 1.16, 1.17, 1.16, 1.17, 
## 1.07, 1.09, 1.09, 1.06, 1.06, 1.12, 1.12, 1.08, 1.07, 1.1, 1.09, 
## 1.1, 1.04, 0.97, 0.58, 0.49, 0.4, 0.23, 0.19, 0.18, 0.2, 0.34, 
## 0.35, 0.38, 0.42, 0.72, 0.87, 0.93, 1, 1.04, 1.07, 1.07, 1.06, 
## 1.07, 1.1, 1.16, 1.21, 1.57, 1.57, 1.54, 1.54, 1.42, 1.38, 1.35, 
## 1.21, 0.88, 0.82, 0.7, 0.55, 0.52, 0.57, 0.28, 0.3, 0.36, 0.4, 
## 0.43, 0.52, 0.59, 0.73, 0.81, 0.88, 0.93, 0.85, 0.8, 0.72, 0.9, 
## 1.06, 1.06, 1.12, 1.04, 1.05, 1.05, 1.04, 0.95, 0.87, 0.83, 0.78, 
## 0.64, 0.56, 0.54, 0.4, 0.45, 0.83, 0.9, 1.05, 1.01, 1.01, 0.98, 
## 0.73, 0.71, 0.73, 0.75, 0.77, 0.81, 0.85, 0.86, 0.85, 0.88, 0.87, 
## 0.82, 0.75, 0.67, 0.45, 0.39, -0.19, -0.22, -0.54, -0.53, -0.32, 
## -0.23, -0.18, 0.25, 0.54, 0.4, 0.36, 0.34, 0.44, 0.6, 0.57, 0.56, 
## 0.54, 0.5, 0.14, 0.09, -0.47, -0.56, -0.88, -0.94, -1.06, -1.24, 
## -1.24, -1.19, -1.16, -1.05, -0.88, -0.8, -0.6, -0.27, 0.03, 0.24, 
## 0.33, 0.35, 0.41, 0.42, 0.38, 0.37, 0.32, 0.36, 0.38, 0.59, 0.68, 
## 0.78, 0.85, 0.89, 1.1, 1.09, 1.11, 1, 0.76, 0.73, 0.66, 0.63, 
## 0.61, 0.61, 0.59, 0.57, 0.48, 0.45, 0.44, 0.54, 0.58, 1.02, 1.06, 
## 1.16, 1.19, 1.34, 1.5, 1.6, 1.42, 1.36, 1.36, 1.33, 1.13, 1.08, 
## 0.84, 0.75, 0.72, 0.68, 0.57, 0.21, 0.08, -0.17, -0.21, -0.21, 
## -0.22, -0.22, -0.2, 0.2, 0.76, 1.1, 1.42, 1.5, 1.52, 1.51, 1.22, 
## 1.17, 1.1, 1.09, 1.11, 1.08, 1.06, 1.03, 1.04, 1.04, 1.03, 1.02, 
## 1.03, 1.05, 1.1, 1.17, 1.16, 1.15, 1.15, 1.13, 1.13, 0.98, 0.94, 
## 0.69, 0.69, 0.74, 0.74, 0.8, 0.87, 0.97, 0.96, 1.02, 1.05, 1.1, 
## 1.04, 1.04, 0.99, 0.95, 0.91, 0.9, 0.88, 0.85, 0.82, 0.66, 0.5, 
## 0.48, 0.51, 0.5, 0.51, 0.55, 0.55, 0.55, 0.58, 0.56, 0.54, 1.29, 
## 1.25, 1.45, 1.58, 1.76, 1.94, 1.95, 1.96, 1.98, 1.92, 1.91, 1.84, 
## 1.73, 1.69, 1.44, 1.03, 1.03, 1.08, 1.37, 1.39, 1.4, 1.4, 1.44, 
## 1.46, 1.63, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 
## 122, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 121, 121, 124, 
## 124, 123, 123, 123, 123, 123, 123, 123, 123, 123, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 123, 123, 
## 123, 123, 122, 122, 122, 121, 121, 120, 120, 120, 120, 121, 121, 
## 108, 108, 108, 109, 110, 112, 113, 115, 115, 114, 112, 112, 112, 
## 112, 112, 112, 112, 112, 113, 113, 113, 113, 113, 113, 113, 113, 
## 113, 112, 112, 112, 113, 113, 117, 118, 120, 116, 115, 115, 114, 
## 114, 113, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 112, 
## 112, 111, 112, 112, 112, 112, 112, 112, 112, 112, 112, 111, 111, 
## 110, 109, 109, 109, 109, 108, 108, 108, 108, 108, 109, 109, 109, 
## 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 111, 111, 
## 111, 111, 111, 111, 112, 112, 112, 112, 112, 113, 113, 113, 113, 
## 113, 113, 113, 113, 113, 113, 113, 112, 112, 112, 112, 112, 111, 
## 112, 112, 112, 113, 113, 113, 114, 114, 114, 114, 113, 113, 113, 
## 113, 113, 113, 113, 113, 113, 114, 114, 114, 114, 114, 114, 114, 
## 114, 114, 114, 114, 115, 115, 115, 114, 114, 114, 114, 114, 114, 
## 113, 113, 113, 114, 114, 114, 114, 115, 114, 114, 114, 115, 115, 
## 115, 115, 115, 116, 116, 116, 116, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 116, 116, 116, 116, 116, 116, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 116, 116, 116, 116, 116, 
## 117, 118, 118, 118, 118, 118, 118, 118, 118, 118, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 118, 
## 118, 118, 117, 118, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 118, 118, 118, 119, 118, 118, 
## 118, 118, 118, 118, 119, 119, 119, 120, 120, 120, 120, 120, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 120, 120, 120, 
## 120, 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 120, 120, 120, 120, 120, 120, 119, 119, 118, 118, 118, 119, 
## 119, 119, 119, 120, 120, 120, 119, 119, 118, 118, 118, 118, 118, 
## 118, 118, 117, 117, 117, 117, 116, 117, 117, 117, 117, 117, 117, 
## 117, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 118, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 120, 120, 
## 120, 120, 120, 119, 119, 119, 119, 119, 119, 120, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 120, 120, 120, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 118, 119, 119, 119, 118, 
## 118, 118, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 113, 
## 113, 113, 113, 113, 113, 113, 113, 113, 113, 113, 114, 115, 115, 
## 115, 115, 109, 109, 109, 110, 110, 110, 110, 110, 110, 110, 110, 
## 121, 121, 120, 119, 117, 117, 116, 115, 110, 110, 109, 108, 108, 
## 1.15, 1.15, 1.15, 1.14, 1.14, 1.06, 1, 0.97, 0.94, 0.93, 0.87, 
## 0.78, 0.77, 0.78, 0.77, 0.79, 0.84, 0.83, 0.47, 0.48, 0.45, 0.45, 
## 0.45, 0.41, 0.37, 0.37, 0.42, 0.47, 0.46, 0.46, 0.46, 0.47, 0.49, 
## 0.56, 0.52, 0.47, 0.88, 0.85, 0.76, 0.74, 0.8, 1.02, 1.08, 0.74, 
## 0.82, 0.94, 1.01, 1.34, 1.53, 1.59, 1.75, 1.8, 1.81, 1.78, 1.58, 
## 1.51, 0.93, 1.02, 1.1, 1.13, 1.15, 1.17, 1.24, 1.27, 1.32, 1.4, 
## 1.4, 1.41, 1.42, 1.17, 1.11, 1.07, 1.1, 1.19, 1.18, 1.2, 1.2, 
## 1.22, 1.28, 1.33, 1.38, 1.49, 1.5, 1.51, 1.53, 1.53, 1.54, 1.24, 
## 1.2, 1.08, 1, 0.96, 0.93, 0.91, 0.9, 0.91, 0.95, 0.95, 0.94, 
## 0.93, 1.1, 1.15, 1.66, 1.65, 1.65, 1.66, 1.68, 1.68, 1.68, 1.65, 
## 1.23, 1.05, 0.89, 0.89, 0.87, 0.82, 0.87, 1.02, 1.06, 1.08, 1.09, 
## 1.28, 1.35, 1.37, 1.51, 1.47, 1.47, 1.4, 1.35, 1.32, 1, 0.72, 
## 0.66, 0.68, 0.8, 0.96, 1.25, 1.39, 1.16, 1.16, 1.16, 1.21, 1.23, 
## 1.22, 1.23, 1.24, 1.24, 1.25, 1.23, 1.24, 1.24, 1.23, 1.25, 1.27, 
## 1.3, 1.31, 1.32, 1.21, 1.24, 1.21, 1.24, 1.26, 1.27, 1.28, 1.3, 
## 1.32, 1.34, 1.24, 1.2, 123, 122, 122, 122, 122, 122, 123, 123, 
## 123, 122, 122, 122, 122, 122, 123, 124, 124, 123, 123, 123, 123, 
## 122, 122, 123, 123, 123, 123, 122, 122, 123, 123, 123, 123, 123, 
## 124, 124, 124, 124, 124, 125, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 129, 129, 1.62, 1.3, 
## 1.02, 0.91, 0.88, 0.87, 0.77, 0.76, 0.79, 0.77, 0.78, 0.83, 0.92, 
## 1.1, 1.2, 1.24, 124, 124, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 124, 124, 124, 124, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 123, 123, 123, 123, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 123, 123, 123, 122, 
## 122, 122, 121, 121, 121, 121, 122, 122, 122, 122, 122, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 122, 122, 122, 121, 121, 121, 
## 122, 122, 122, 123, 123, 123, 123, 122, 121, 121, 121, 121, 121, 
## 121, 121, 121, 123, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 124, 123, 
## 123, 122, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 123, 123, 123, 123, 123, 123, 121, 121, 121, 121, 121, 122, 122, 
## 123, 123, 123, 123, 123, 122, 122, 122, 122, 121, 121, 121, 121, 
## 121, 121, 121, 121, 120, 120, 119, 119, 119, 118, 118, 119, 120, 
## 122, 122, 121, 121, 121, 121, 121, 122, 122, 122, 123, 123, 123, 
## 123, 122, 122, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 122, 122, 122, 122, 122, 123, 122, 121, 120, 121, 122, 122, 
## 123, 123, 124, 124, 124, 124, 124, 123, 123, 123, 122, 122, 122, 
## 122, 122, 122, 123, 123, 1.34, 1.05, 1.33, 1.41, 1.53, 1.56, 
## 1.66, 0.75, 0.82, 1.07, 1.16, 1.36, 1.63, 1.74, 1.84, 1.89, 1.96, 
## 2.01, 2.05, 2.15, 2.16, 2.15, 2.17, 2.03, 2.01, 1.42, 1.29, 1.14, 
## 1.06, 0.94, 0.87, 0.6, 0.42, 0.35, 0.34, 0.36, 0.38, 0.41, 0.57, 
## 0.62, 0.59, 0.61, 0.69, 0.78, 0.86, 1.2, 1.35, 1.74, 1.83, 1.83, 
## 1.82, 1.84, 1.82, 1.81, 1.8, 1.81, 1.62, 1.52, 1.46, 1.38, 1.39, 
## 1.33, 1.25, 0.94, 0.88, 0.85, 0.86, 1, 1.24, 1.25, 1.24, 1.28, 
## 1.31, 1.64, 1.95, 2.12, 2.22, 2.25, 2.13, 2.06, 1.98, 1.61, 1.53, 
## 1.42, 1.23, 1.14, 1.05, 2.13, 2.11, 1.72, 1.68, 1.57, 1.47, 1.41, 
## 1.34, 1.2, 0.94, 0.67, 0.76, 0.79, 0.85, 0.83, 0.82, 0.93, 0.96, 
## 1.01, 1.21, 1.68, 1.82, 1.79, 1.75, 1.73, 1.69, 1.54, 1.48, 1.13, 
## 0.83, 0.42, 0.25, 0.25, 0.2, 0.23, 0.26, 0.48, 0.9, 1.39, 1.54, 
## 1.6, 1.72, 1.86, 1.91, 2.15, 2.12, 1.67, 1.46, 1.25, 1.82, 1.94, 
## 2.03, 1.98, 1.78, 1.72, 1.45, 1.06, 1.01, 0.92, 0.87, 0.81, 0.75, 
## 0.41, 0.4, 0.46, 0.96, 1.24, 1.33, 1.68, 2.16, 2.19, 2.22, 2.22, 
## 2.25, 2.29, 2.24, 2.12, 2.02, 1.6, 1.41, 1.21, 1.11, 0.89, 0.83, 
## 0.68, 1.15, 1.18, 1.17, 1.17, 1.18, 1.21, 1.3, 1.67, 1.95, 2.07, 
## 1.86, 1.71, 1.31, 0.64, 0.41, 0.33, 0.27, -0.01, 0.04, 0.24, 
## 0.59, 0.95, 1.17, 1.3, 1.58, 1.78, 1.84, 1.82, 1.7, 1.64, 1.61, 
## 1.36, 1.24, 1.16, 1.08, 1.02, 0.7, 0.59, 0.58, 0.83, 1.44, 1.57, 
## 1.57, 0.84, 0.78, 0.72, 0.69, 0.54, 0.45, 0.37, 0.21, 0.67, 0.78, 
## 0.87, 1.36, 1.62, 2.08, 2.29, 2.6, 2.8, 2.4, 1.97, 1.65, 1.44, 
## 1.36, 1.22, 1.14, 1.08, 0.95, 0.88, 0.64, 0.45, 0.37, 0.17, 0.01, 
## 0.06, 0.19, 0.53, 0.76, 0.89, 1.36, 1.51, 2.34, 2.37, 2.47, 1.63, 
## 1.13, 0.72, 0.56, 0.56, 0.78, 0.84, 0.87, 0.9, 1.19, 1.26, 1.42, 
## 1.68, 1.62, 1.57, 1.46, 1.41, 1.1, 1.04, 0.96, 0.86, 0.73, 1.34, 
## 1.4, 1.42, 1.43, 1.52, 1.54, 1.47, 1.47, 1.46, 1.4, 1.45, 1.24, 
## 1.18, 1.1, 1.08, 0.94, 0.94, 0.94, 0.96, 0.99, 1.03, 1.09, 1.23, 
## 1.41, 1.45, 1.54, 1.55, 1.57, 1.64, 1.65, 1.65, 1.64, 1.12, 0.98, 
## 1.01, 1.15, 1.21, 1.23, 1.33, 1.33, 1.36, 1.43, 1.55, 1.6, 1.59, 
## 1.61, 1.61, 1.32, 1.27, 1.24, 1.25, 1.28, 1.45, 1.47, 1.46, 1.85, 
## 1.92, 1.8, 1.74, 1.59, 1.51, 1.46, 1.41, 1.36, 1.2, 1.13, 1.04, 
## 1.03, 1.05, 1.08, 1.17, 1.2, 1.3, 1.38, 1.49, 1.55, 1.63, 1.69, 
## 1.73, 1.84, 1.75, 1.55, 1.45, 1.37, 1.33, 1.29, 1.16, 1.11, 1.06, 
## 0.92, 0.92, 0.95, 1.01, 0.99, 1.02, 1.21, 1.24, 1.26, 1.27, 1.25, 
## 1.2, 0.94, 1.17, 1.16, 1.14, 1.17, 1.1, 1.1, 1.08, 1.02, 1.02, 
## 1, 1.12, 1.29, 1.38, 1.45, 1.58, 1.63, 1.64, 1.66, 1.72, 1.7, 
## 1.7, 1.74, 1.62, 1.65, 1.65, 1.67, 1.71, 1.85, 1.86, 1.82, 1.77, 
## 1.76, 1.81, 1.84, 1.85, 1.5, 1.29, 1.28, 1.12, 1.09, 1.06, 1.03, 
## 1.01, 0.95, 0.93, 0.71, 0.64, 0.66, 0.7, 0.71, 0.78, 0.84, 0.99, 
## 1.04, 1.29, 1.51, 1.62, 1.63, 1.67, 1.73, 1.73, 1.72, 1.72, 1.48, 
## 1.38, 1.35, 1.33, 1.31, 1.23, 1.19, 1.15, 1.02, 0.89, 0.9, 1.13, 
## 1.17, 1.2, 1.21, 1.47, 1.53, 1.54, 1.36, 1.26, 1.28, 1.14, 1.21, 
## 1.22, 1.26, 1.28, 1.32, 1.36, 1.69, 1.72, 1.34, 1.3, 1.23, 0.97, 
## 0.85, 0.81, 0.8, 0.89, 1.27, 1.28, 1.42, 1.45, 1.38, 1.32, 0.9, 
## 0.83, 0.53, 0.53, 0.59, 0.95, 1.21, 1.58, 1.71, 1.98, 1.96, 1.89, 
## 2.07, 1.97, 1.78, 1.52, 1.44, 1.38, 1.4, 1.47, 1.52, 1.76, 1.87, 
## 1.92, 1.64, 1.42, 1.43, 1.44, 1.53, 1.54, 1.55, 1.55, 1.58, 1.55, 
## 1.55, 1.46, 1.45, 1.33, 1.31, 1.32, 1.32, 1.15, 1.14, 0.98, 0.88, 
## 0.89, 0.83, 0.75, 0.73, 0.7, 0.61, 0.63, 0.6, 0.56, 0.54, 0.51, 
## 0.55, 0.64, 0.66, 0.68, 0.69, 0.74, 0.86, 1.13, 1.25, 1.29, 1.29, 
## 1.24, 1.29, 1.36, 0.6, 1, 1.02, 1.06, 1.08, 1.08, 1.09, 1.08, 
## 1.04, 0.94, 0.88, 0.79, 0.68, 0.71, 0.76, 0.77, 0.79, 0.83, 0.84, 
## 0.87, 1.02, 1.11, 0.89, 0.86, 0.86, 0.97, 1.11, 1.14, 1.12, 1.15, 
## 0.86, 0.78, 0.39, 0.38, 0.35, 0.24, 0.32, 0.4, 0.55, 0.63, 0.83, 
## 1.12, 1.14, 1.02, 0.86, 1.03, 1, 1.09, 1.15, 1.12, 0.97, 0.59, 
## 0.46, 0.42, 0.36, 0.04, 0.92, 0.86, 0.92, 0.87, 1.08, 1.08, 1.03, 
## 0.94, 0.87, 0.8, 0.75, 0.62, 0.5, 0.27, 0.26, 0.25, 0.32, 0.48, 
## 0.66, 0.82, 0.95, 0.99, 1.12, 1.22, 1.19, 1.14, 1.07, 0.94, 0.98, 
## 1.02, 1.02, 1.05, 1.03, 1.03, 1, 0.59, 0.61, 0.59, 0.47, 0.41, 
## 0.47, 0.53, 0.77, 0.91, 1.19, 1.2, 1.16, 1.11, 1.01, 0.92, 0.76, 
## 0.82, 0.96, 1.05, 1.09, 1.14, 1.26, 1.29, 1.22, 1.14, 1.06, 0.59, 
## 0.69, 0.85, 1, 1.07, 1.31, 1.33, 0.72, 0.61, 0.46, 0.45, 0.44, 
## 0.48, 0.52, 0.62, 0.67, 0.73, 0.7, 0.62, 0.5, 0.65, 0.84, 0.98, 
## 1.13, 1.03, 0.95, 0.87, 0.73, 0.6, 0.55, 0.48, 0.45, 0.39, 0.3, 
## 1.13, 1.29, 1.43, 1.47, 1.5, 1.6, 1.54, 1.42, 1.11, 1.09, 1.13, 
## 1.15, 1.28, 1.35, 1.4, 1.58, 1.59, 1.62, 1.72, 1.68, 1.81, 1.79, 
## 1.54, 1.12, 0.95, 0.92, 0.73, 0.82, 0.84, 0.9, 0.96, 0.97, 1.03, 
## 0.73, 0.7, 0.65, 0.65, 0.72, 0.65, 0.64, 0.66, 0.69, 0.77, 0.73, 
## -0.15, -0.12, -0.12, -0.11, -0.12, -0.12, -0.09, -0.08, -0.07, 
## -0.11, -0.11, -0.11, -0.26, -0.32, 0.4, 0.47, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 127, 127, 127, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 127, 127, 127, 127, 126, 126, 
## 126, 126, 126, 126, 126, 126, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 126, 126, 126, 126, 127, 127, 127, 127, 127, 127, 
## 127, 127, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 
## 127, 127, 127, 127, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 125, 125, 125, 124, 123, 123, 122, 122, 121, 120, 120, 118, 118, 
## 118, 118, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 118, 
## 118, 119, 120, 120, 121, 122, 122, 122, 122, 122, 122, 122, 123, 
## 123, 126, 127, 127, 127, 127, 127, 127, 127, 128, 127, 127, 127, 
## 126, 126, 125, 125, 125, 125, 125, 126, 126, 126, 126, 126, 126, 
## 126, 126, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 126, 127, 127, 127, 126, 126, 126, 126, 126, 126, 126, 126, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 126, 126, 126, 126, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 125, 
## 125, 125, 125, 125, 125, 125, 124, 124, 122, 122, 122, 122, 122, 
## 123, 123, 123, 123, 123, 124, 124, 124, 124, 124, 124, 124, 117, 
## 117, 117, 117, 117, 117, 116, 116, 116, 117, 117, 116, 116, 116, 
## 116, 115, 115, 116, 116, 116, 116, 116, 117, 117, 116, 116, 115, 
## 115, 115, 115, 115, 115, 114, 114, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 116, 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 117, 118, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 116, 116, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 116, 116, 116, 116, 115, 115, 115, 115, 115, 
## 115, 115, 116, 116, 116, 116, 116, 116, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 116, 116, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 117, 116, 116, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 116, 116, 116, 
## 116, 116, 115, 115, 115, 115, 115, 115, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 116, 116, 116, 116, 116, 116, 116, 116, 115, 
## 115, 115, 115, 116, 116, 116, 116, 117, 117, 117, 116, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 117, 117, 116, 116, 116, 116, 116, 116, 116, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 116, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 118, 118, 118, 118, 118, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 122, 
## 122, 122, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 
## 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 126, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 117, 117, 117, 117, 117, 117, 117, 
## 116, 116, 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 115, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 116, 116, 115, 115, 115, 115, 115, 
## 115, 115, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, -0.22, -0.22, -0.2, -0.18, 
## -0.16, -0.08, -0.07, -0.03, 0.08, 0.11, 0.23, 0.57, 0.45, 0.33, 
## 0.14, 0.02, -0.13, -0.29, -0.47, -0.57, -0.82, -0.8, -0.76, -0.61, 
## -0.54, -0.26, 1.14, 1.07, 0.97, 0.97, 1.13, 1.27, 1.46, 1.45, 
## 1.35, 1.41, 1.42, 1.21, 1.1, 0.95, 0.88, 0.07, 0.21, 0.25, 0.53, 
## 0.6, 0.7, 0.99, 1.02, 0.99, 1.01, 1.04, 1.08, 1.06, 1.06, 0.99, 
## 1.12, 1.2, 1.05, 0.94, 0.88, 0.86, 0.81, 0.7, 0.5, 0.42, 0.37, 
## 0.21, 0.29, 0.44, 0.53, 0.86, 0.9, 0.97, 1.19, 1.23, 1.25, 0.24, 
## 0.26, 0.27, 0.36, 0.79, 1.1, 1.02, 0.98, 0.93, 0.89, 0.79, 0.81, 
## 0.86, 0.85, 0.99, 1.03, 1.73, 1.68, 1.53, 1.5, 1.48, 1.43, 1.56, 
## 1.54, 1.54, 1.55, 1.56, 1.87, 1.98, 2.18, 2.09, 2.04, 2.01, 1.95, 
## 0.95, 0.56, 0.57, 0.57, 0.65, 0.92, 0.83, 0.85, 0.92, 1.2, 1.61, 
## 0.79, 0.63, 0.54, 0.42, 0.36, 0.28, 0.24, 0.27, 0.36, 0.58, 0.72, 
## 0.85, 0.92, 0.98, 1.12, 1.54, 1.66, 1.17, 1.34, 1.51, 1.9, 2, 
## 2, 1.99, 1.99, 1.96, 1.8, 1.45, 1.28, 0.62, 0.37, 0.36, 0.26, 
## 0.26, 0.2, 0.2, 0.2, 0.18, 0.24, 0.29, 0.3, 0.47, 0.78, 0.9, 
## 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 121, 
## 121, 121, 120, 120, 120, 120, 119, 119, 120, 121, 123, 123, 123, 
## 123, 123, 123, 123, 122, 1.22, 1.22, 1.4, 1.41, 1.12, 1.09, 1.13, 
## 1.2, 1.2, 1.16, 1.18, 1.2, 1.23, 1.92, 2.05, 2.08, 2.06, 2.03, 
## 1.97, 1.84, 1.8, 1.81, 1.73, 1.73, 1.74, 1.67, 1.59, 1.65, 1.8, 
## 1.81, 1.78, 1.8, 1.82, 1.78, 1.68, 1.59, 1.39, 1.35, 1.29, 1.43, 
## 1.42, 1.44, 1.54, 1.6, 1.39, 1.38, 1.41, 1.35, 1.38, 1.43, 1.51, 
## 1.53, 1.52, 1.41, 1.35, 1.28, 1.74, 1.74, 1.66, 1.58, 1.52, 1.32, 
## 1.21, 1.21, 1.21, 1.21, 1.44, 1.59, 1.59, 0.9, 0.93, 0.93, 0.95, 
## 0.96, 1.01, 1.16, 1.26, 1.36, 1.17, 1.05, 0.99, 0.78, 0.88, 0.94, 
## 1.02, 1.14, 1.14, 1.08, 1.07, 1.15, 1.14, 1.11, 1.03, 0.89, 0.85, 
## 0.78, 0.75, 0.74, 0.69, 0.8, 0.94, 0.93, 0.82, 0.81, 0.81, 0.96, 
## 1.04, 1.11, 1.15, 1.4, 1.4, 1.43, 1.42, 1.41, 1.42, 1.44, 1.4, 
## 1.33, 1.3, 1.47, 1.47, 1.51, 1.55, 1.5, 1.4, 1.38, 1.29, 1.19, 
## 1.33, 1.36, 1.38, 1.48, 123, 124, 124, 124, 124, 124, 123, 123, 
## 123, 123, 123, 123, 123, 123, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 123, 
## 123, 123, 123, 123, 123, 123, 123, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 124, 124, 
## 124, 124, 124, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 121, 121, 121, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 122, 
## 122, 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 122, 
## 122, 121, 122, 122, 122, 122, 121, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 1.26, 1.39, 1.62, 1.3, 
## 1.57, 1.59, 1.61, 1.65, 1.62, 1.56, 1.42, 1.38, 1.37, 1.27, 1.19, 
## 1.1, 1, 1, 1, 1.02, 1.05, 1.02, 1.04, 1.09, 1.19, 1.31, 1.54, 
## 1.54, 1.51, 1.49, 1.47, 1.19, 1.19, 1.2, 1.19, 1.25, 1.45, 1.4, 
## 1.37, 1.3, 1.28, 1.16, 1.13, 1.11, 0.97, 1, 0.98, 1.09, 1.2, 
## 1.39, 1.43, 1.44, 1.43, 1.4, 1.29, 1.23, 1.14, 1.1, 0.96, 0.87, 
## 0.78, 0.84, 0.95, 1.01, 1.07, 1.13, 1.5, 1.65, 1.64, 1.61, 1.48, 
## 1.31, 1.27, 1.08, 1.04, 1.2, 1.23, 1.24, 1.24, 1.32, 1.36, 1.54, 
## 1.55, 1.53, 1.51, 1.47, 1.44, 1.33, 1.19, 1.08, 0.89, 0.83, 0.82, 
## 0.86, 0.88, 1.2, 1.23, 1.47, 1.54, 1.6, 1.34, 1.1, 0.8, 0.5, 
## 0.67, 0.71, 1.21, 1.31, 1.39, 1.46, 1.56, 1.55, 1.54, 1.53, 1.49, 
## 1.49, 1.47, 1.47, 1.45, 1, 1.11, 1.12, 1.37, 1.37, 1.23, 1.17, 
## 1.15, 0.9, 0.83, 0.71, 1.12, 1.59, 1.91, 1.97, 1.99, 1.96, 1.92, 
## 1.83, 1.39, 1.18, 1.31, 1.34, 1.62, 1.6, 1.6, 1.59, 1.49, 1.29, 
## 1.24, 1.18, 1.02, 0.8, 0.76, 0.7, 0.61, 0.8, 0.93, 0.98, 1.12, 
## 1.18, 1.4, 1.44, 1.48, 1.49, 1.57, 1.54, 1.22, 1.03, 0.9, 0.87, 
## 0.89, 0.93, 1.09, 1.25, 1.28, 1.34, 1.46, 1.47, 1.55, 1.6, 1.58, 
## 1.53, 1.47, 1.45, 1.31, 1.22, 1.03, 0.99, 0.83, 1.61, 1.7, 1.66, 
## 1.29, 1.16, 0.94, 0.76, 0.68, 0.67, 0.66, 0.75, 0.78, 1.09, 1.15, 
## 1.23, 1.35, 0.67, 0.71, 0.77, 0.81, 0.97, 1.1, 1.14, 1.37, 1.55, 
## 1.57, 1.54, 1.53, 1.29, 1.23, 1.24, 1.23, 1.22, 1.22, 1.49, 1.5, 
## 1.5, 1.59, 1.54, 1.5, 1.28, 0.97, 0.97, 0.97, 0.95, 0.92, 0.85, 
## 0.87, 0.93, 0.96, 0.96, 1.04, 1.08, 1.22, 1.22, 1.21, 1.21, 1.23, 
## 1.25, 1.31, 1.32, 1.31, 1.35, 1.35, 1.36, 1.39, 1.39, 1.49, 1.52, 
## 1.48, 1.48, 1.25, 1.23, 1.21, 1.17, 1.21, 1.23, 1.25, 1.23, 1.3, 
## 1.27, 1.26, 1.29, 1.31, 1.36, 1.4, 1.38, 1.36, 1.34, 1.36, 1.43, 
## 1.51, 1.63, 1.66, 1.67, 1.81, 1.86, 1.9, 1.92, 1.92, 1.89, 1.94, 
## 1.97, 2.02, 1.92, 1.66, 1.49, 1.35, 1.37, 1.36, 1.27, 1.3, 1.32, 
## 1.22, 1.23, 1.18, 1.15, 1.14, 1.15, 1.08, 1.11, 1.26, 1.31, 1.41, 
## 1.48, 0.78, 0.8, 0.79, 0.81, 0.87, 1.09, 1.2, 1.29, 1.52, 1.53, 
## 1.48, 1.51, 1.51, 1.54, 1.55, 1.58, 1.6, 1.58, 1.54, 1.38, 1.23, 
## 1.04, 1.02, 1.03, 1, 0.93, 0.92, 0.84, 0.81, 0.89, 0.91, 0.97, 
## 1, 1.03, 1.06, 1.11, 1.25, 1.26, 1.31, 1.36, 1.4, 1.49, 1.49, 
## 1.47, 1.62, 1.69, 1.71, 1.69, 1.51, 1.47, 1.28, 1.24, 1.13, 1.13, 
## 1.11, 1.06, 0.91, 0.94, 0.91, 0.91, 1.22, 1.55, 1.53, 1.33, 1.33, 
## 1.6, 1.74, 1.71, 1.38, 1.34, 1.3, 1.26, 1.22, 1.16, 1.07, 0.81, 
## 0.83, 0.83, 0.77, 0.72, 0.68, 0.7, 0.8, 0.8, 0.89, 0.95, 0.97, 
## 0.99, 1.13, 1.17, 1.21, 1.27, 1.4, 1.45, 1.49, 1.51, 1.53, 1.33, 
## 1.3, 1.27, 1.17, 1.14, 1.09, 1.07, 1.06, 0.89, 0.79, 0.75, 0.74, 
## 0.72, 0.66, 0.68, 0.76, 0.87, 0.93, 1.03, 1.31, 1.52, 1.5, 1.51, 
## 1.47, 1.47, 1.55, 1.58, 1.57, 1.48, 1.34, 1.27, 1.23, 1.18, 1.16, 
## 1.14, 0.89, 0.73, 0.86, 0.82, 0.78, 1.83, 1.78, 1.77, 1.78, 1.64, 
## 1.55, 1.54, 1.39, 1.33, 1.19, 1.18, 1.43, 1.85, 2.06, 2.09, 2.09, 
## 2.03, 1.98, 2.06, 2.34, 2.58, 2.46, 2.4, 2.23, 2.21, 2.06, 1.82, 
## 1.64, 1.41, 1.39, 1.3, 1.2, 0.96, 0.86, 0.77, 0.8, 0.82, 0.84, 
## 0.94, 0.94, 0.94, 0.94, 0.93, 0.94, 0.93, 0.98, 1.13, 1.15, 1.19, 
## 1.18, 1.19, 1.18, 1.22, 1.32, 1.23, 0.62, 0.59, 0.57, 0.63, 0.63, 
## 0.6, 0.64, 0.71, 0.84, 0.87, 0.79, 0.69, 0.41, 0.35, 0.33, 0.28, 
## 0.28, 0.38, 0.42, 0.46, 0.46, 0.45, 0.41, 0.5, 0.55, 0.81, 0.86, 
## 0.89, 0.89, 0.89, 0.86, 0.86, 0.85, 0.85, 0.87, 0.94, 1.05, 1.07, 
## 1.05, 1.05, 1.05, 1.07, 1.02, 0.95, 0.9, 0.83, 0.67, 0.46, 0.4, 
## 0.4, 0.45, 0.55, 0.61, 0.64, 1.12, 1.21, 0.97, 1.08, 1.12, 1.2, 
## 1.21, 1.06, 1.02, 0.9, 0.76, 0.74, 0.61, 0.57, 0.51, 0.48, 0.45, 
## 0.39, 0.38, 0.39, 0.4, 0.41, 0.43, 0.46, 0.54, 0.57, 0.66, 0.73, 
## 0.62, 0.48, 0.48, 0.46, 0.34, 0.33, 0.34, 0.35, 0.52, 0.54, 1.03, 
## 1.08, 1.07, 1.06, 1.03, 1.06, 1.08, 1.16, 1.12, 1.07, 1.05, 0.98, 
## 0.62, 0.54, 0.48, 0.38, 0.21, 0.34, 0.37, 0.61, 0.97, 1.06, 1.01, 
## 1.03, 1.02, 1.02, 1.01, 1, 0.98, 0.99, 0.99, 0.97, 0.95, 0.92, 
## 0.9, 0.84, 0.71, 0.68, 0.2, -0.11, -0.14, -0.09, 0.03, 0.06, 
## 0.09, 0.27, 0.61, 0.83, 1.03, 1.14, 1.15, 1.17, 1.24, 1.26, 1.25, 
## 1.25, 1.26, 1.19, 1.14, 1.1, 1.08, 1.06, 1.08, 0.9, 0.87, 0.73, 
## 0.71, 0.71, 0.72, 0.7, 0.85, 0.88, 1.02, 1.03, 1.05, 1.02, 1.03, 
## 1.07, 1.08, 1.12, 1.23, 1.21, 0.86, 0.75, 0.69, 0.43, 0.38, 0.33, 
## 0.29, 0.46, 0.51, 0.55, 0.68, 0.73, 0.9, 1.1, 1.13, 1.13, 1.27, 
## 1.31, 1.33, 1.25, 1.12, 1.09, 0.88, 0.81, 0.82, 0.86, 0.72, 0.67, 
## 0.62, 0.64, 0.65, 0.68, 0.76, 0.77, 0.82, 0.87, 0.93, 0.94, 0.96, 
## 1.04, 0.8, 0.71, 0.75, 0.78, 0.8, 0.79, 0.8, 0.77, 0.74, 0.75, 
## 0.64, 0.58, 0.54, 0.39, 0.1, 0.1, 0.11, 0.27, 0.36, 0.33, 0.3, 
## 0.27, 0.26, 0.28, 0.28, 0.3, 0.3, 0.31, 0.31, 0.33, 0.36, 0.41, 
## 0.47, 0.54, 0.58, 0.6, 0.62, 0.72, 0.75, 0.82, 0.86, 0.79, 0.79, 
## 0.84, 0.81, 0.82, 0.83, 0.82, 0.86, 0.9, 0.86, 0.92, 1, 1.09, 
## 1.25, 1.37, 1.35, 1.32, 1.19, 1.1, 1.02, 1, 0.97, 1.05, 1.06, 
## 1.1, 1.11, 1.15, 1.35, 1.37, 1.37, 1.24, 0.89, 0.87, 1.28, 1.44, 
## 1.45, 1.36, 1.24, 1.13, 1.08, 1.27, 1.27, 1.3, 1.28, 0.74, 0.63, 
## 0.48, 0.45, 0.43, 0.4, 0.42, 0.65, 0.69, 0.52, 0.51, 0.58, 0.74, 
## 0.85, 0.92, 0.83, 0.83, 0.82, 0.85, 0.8, 0.79, 0.77, 0.75, 0.75, 
## 0.72, 0.7, 0.7, 0.71, 0.7, 0.6, 0.5, -0.36, -0.48, -0.51, -0.5, 
## -0.47, -0.25, -0.23, -0.15, 0.11, 0.62, 0.58, 0.62, 0.64, 0.55, 
## 0.43, 0.4, 0.45, 0.47, 0.68, 0.71, 0.88, 0.85, 0.85, 0.88, 0.87, 
## 0.9, 0.91, 0.93, 0.95, 0.97, 1.01, 1, 1.02, 1, 0.96, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 124, 124, 
## 124, 126, 126, 126, 126, 126, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 128, 128, 
## 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
## 128, 128, 128, 128, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 128, 128, 128, 128, 128, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 128, 128, 128, 128, 128, 128, 128, 128, 128, 127, 127, 127, 128, 
## 128, 128, 127, 128, 128, 128, 128, 128, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 126, 126, 126, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 126, 126, 126, 126, 126, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 124, 124, 125, 125, 125, 125, 125, 125, 124, 124, 123, 123, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 125, 125, 127, 127, 126, 126, 126, 126, 126, 
## 126, 126, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 128, 128, 
## 128, 128, 128, 128, 127, 128, 125, 125, 125, 126, 126, 126, 126, 
## 126, 126, 126, 126, 125, 125, 126, 126, 126, 126, 126, 125, 126, 
## 126, 126, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 
## 125, 117, 118, 118, 118, 118, 118, 117, 117, 117, 117, 117, 117, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 119, 119, 119, 118, 118, 118, 118, 118, 118, 118, 119, 
## 119, 119, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 119, 119, 119, 119, 119, 119, 119, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 119, 119, 119, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 119, 119, 119, 119, 119, 120, 
## 119, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 119, 119, 119, 119, 119, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 121, 121, 121, 121, 120, 120, 
## 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 119, 119, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 
## 121, 121, 121, 121, 121, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 119, 119, 119, 
## 119, 119, 117, 117, 117, 117, 118, 118, 117, 117, 118, 117, 117, 
## 117, 0.74, 0.63, 0.58, 0.67, 0.7, 0.68, 0.67, 0.66, 0.45, 0.42, 
## 0.44, 0.48, 0.65, 0.42, 0.37, 0.29, 0.21, 0.09, -0.14, -0.16, 
## -0.19, -0.27, -0.38, -0.44, -0.4, -0.29, 0.93, 1.02, 1.1, 1.16, 
## 1.11, 1.11, 1.12, 1.12, 1.12, 1.14, 1.4, 1.19, 1.15, 1.11, 0.89, 
## 0.84, 1.48, 1.39, 1.34, 1.21, 1.16, 1.1, 1.07, 0.99, 0.94, 0.86, 
## 0.84, 0.71, 0.69, 0.69, 1.35, 1.52, 0.88, 0.8, 0.8, 0.8, 0.81, 
## 0.79, 0.89, 0.94, 1.01, 1.06, 1.59, 1.55, 1.52, 1.52, 1.48, 1.22, 
## 1.06, 1.01, 0.96, 0.83, 0.61, 0.6, 0.64, 0.79, 0.84, 0.91, 0.99, 
## 1.32, 1.42, 1.48, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 122, 122, 122, 122, 122, 122, 122, 123, 123, 123, 123, 122, 
## 122, 122, 122, 122, 122, 122, 123, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 0.77, 0.84, 1.31, 1.38, 1.39, 
## 1.42, 1.48, 1.52, 1.56, 1.6, 1.64, 1.67, 1.72, 1.74, 1.77, 1.77, 
## 1.85, 1.87, 1.9, 2.03, 2.06, 2, 1.56, 1.55, 1.46, 1.41, 1.38, 
## 1.36, 1.3, 1.26, 1.11, 1.02, 0.84, 1.29, 1.31, 1.45, 1.42, 1.36, 
## 1.39, 1.58, 1.62, 1.64, 1.64, 1.64, 1.63, 1.64, 1.55, 1.51, 1.46, 
## 1.45, 1.6, 1.59, 1.42, 1.26, 1.18, 1.17, 1.18, 1.27, 1.18, 1.02, 
## 1.13, 1.13, 1.15, 1.1, 1.09, 1.04, 1.02, 1.05, 1.02, 1, 1.06, 
## 1.09, 1.09, 1.41, 1.43, 1.51, 1.52, 1.56, 1.67, 1.78, 1.79, 1.43, 
## 1.24, 1.24, 1.18, 1.16, 1.17, 1.18, 1.17, 1.12, 1.11, 1.08, 1.09, 
## 1.11, 1.12, 1.12, 1.2, 1.19, 1.18, 1.17, 1.16, 1.11, 1.05, 0.85, 
## 0.86, 0.83, 0.86, 0.9, 0.9, 0.94, 1.02, 1.09, 1.07, 0.99, 0.56, 
## 0.45, 0.32, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 
## 121, 121, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 121, 121, 
## 121, 121, 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 120, 120, 121, 121, 121, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 121, 121, 121, 121, 121, 120, 120, 120, 120, 120, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 
## 121, 121, 122, 122, 122, 121, 121, 121, 121, 121, 121, 121, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 123, 
## 123, 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 120, 120, 
## 118, 118, 118, 118, 119, 119, 119, 119, 119, 119, 119, 119, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 119, 119, 119, 
## 119, 120, 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 118, 118, 118, 118, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 120, 119, 119, 119, 119, 119, 119, 119, 118, 118, 118, 118, 
## 118, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 118, 118, 117, 117, 117, 117, 117, 117, 
## 117, 118, 118, 118, 118, 118, 118, 118, 119, 121, 121, 121, 121, 
## 120, 119, 117, 115, 1.22, 1.15, 0.38, -0.4, -2.22, -1.97, -0.72, 
## 3.08, 4.65, 10.8, 13.4, 13.5, 13, 12.2, 11.7, 10.7, 8.08, 5.57, 
## -0.18, -6.57, -7.63, -9.69, -12.1, -12.9, -16.1, -18.5, -21.4, 
## -21.1, -20.7, -18.5, -17.2, -16.4, -14.5, -13.5, -8.46, -0.1, 
## 3.61, 4.88, 5.97, 14, 14.3, 14.6, 14.9, 14.4, 13.6, 12.3, 11.1, 
## 8.71, 3.97, 0.86, -1.35, -2.5, -3.62, -4.57, -6.31, -10.2, -18.1, 
## -19.3, 8.17, 11.2, 13.7, 14.4, 14.3, 13, 9.73, 9.06, 3.53, -0.79, 
## -1.96, -6.28, -10.4, -12.2, -17.7, -19.2, -21.4, -21.9, -22.3, 
## -23.2, -23.5, -23.9, -23.8, -21, -20.2, -17.6, -11.4, 2.65, 3.99, 
## -3.74, 1.65, 3.05, 4.59, 6.34, 10.7, 13.1, 14.4, 15.6, 15.3, 
## 13, 8.64, 6.61, 5.53, 4.35, 3.22, -0.17, -1.19, -4.94, -7.51, 
## -9.09, -10.8, -11.8, -12.7, -13.8, -22.3, -24.6, -26.5, -28.1, 
## -28.3, -25.3, -23.7, -15.9, -14.6, -7.34, 2.86, 4.23, 9.86, 12.7, 
## 13.5, 14.6, 14.2, 13.6, 13.2, 7.7, 6.67, 4.55, 1.37, 0.32, -2.79, 
## -3.82, -10.3, -12.4, -22.4, -24.4, -24.6, -24.3, -20.4, -19.5, 
## -11.6, -10.2, -6.02, -3.3, -0.65, 6.63, 8.88, 11.2, 12.5, 11.4, 
## 11.1, 8.4, 5.31, 3.61, 1.76, -1.35, -9.64, -12.5, -15, -16.8, 
## -19.8, -21.6, -23.6, -23.5, -23, -17.3, -14.2, -10.8, -9.62, 
## -7.02, -4.55, -2.25, 0.03, 6.74, 8.75, 13, 13.8, 13.6, 13.2, 
## 12.9, 11.1, 10.3, 8.08, 5.83, 4.96, 2.33, 0.43, -0.58, -1.52, 
## -2.51, -4.43, -9.85, -11.1, -12.2, -17.5, -18.2, -19.9, -20.6, 
## -22.5, -23.3, -23.6, -23.3, -22.9, -22.1, -18.6, -13.5, -7.16, 
## -5.83, -4.58, 0.39, 1.55, 6.86, 8.3, 9.52, 10.6, 12.4, 14.6, 
## 15.8, 16.1, 16.6, 16.4, 15.6, 13.8, 13.3, 10.7, 9.9, 8.2, -0.63, 
## -1.6, -2.52, -3.39, -4.32, -5.23, -8.24, -9.84, -11.6, -12.7, 
## -12.5, -12.2, -11.1, -10.7, -7.52, -6.62, -5.46, -4.53, -3.33, 
## -3.1, -2.52, 0.35, 0.38, 0.4, 0.5, 0.68, 0.72, 0.78, 0.9, 1.22, 
## 1.36, 1.47, 1.11, 1.03, 0.95, 1.06, 1.5, 1.39, 1.36, 1.35, 1.35, 
## 1.42, 1.46, 1.57, 1.63, 1.54, 1.48, 1.47, 1.45, 1.44, 1.43, 1.38, 
## 1.38, 1.25, 1.23, 1.22, 1.28, 1.28, 1.26, 1.25, 1.25, 1.29, 1.35, 
## 1.43, 1.5, 1.56, 1.52, 1.46, 1.46, 1.47, 1.58, 1.59, 1.56, 1.53, 
## 1.54, 1.47, 1.48, 1.34, 1.27, 1.18, 1.19, 1.2, 1.23, 1.25, 1.25, 
## 1.25, 1.25, 1.27, 1.29, 1.37, 1.35, 1.31, 1.27, 1.23, 1.24, 1.29, 
## 1.63, 1.69, 1.68, 1.66, 1.66, 1.64, 1.63, 1.65, 1.64, 1.6, 1.59, 
## 1.58, 1.51, 1.45, 1.19, 1.15, 1.14, 1.13, 1.1, 1.11, 1.1, 1.05, 
## 1.04, 1.01, 1.03, 1.14, 1.12, 1.08, 1.08, 1.01, 0.98, 1.02, 1.08, 
## 1.37, 1.42, 1.46, 1.46, 1.5, 1.57, 1.57, 1.61, 1.61, 1.63, 1.52, 
## 1.47, 1.44, 1.36, 1.24, 1.2, 1.17, 1.18, 1.19, 1.19, 1.18, 1.05, 
## 0.93, 0.9, 1.01, 1.21, 1.24, 1.25, 1.27, 1.35, 1.48, 1.52, 1.53, 
## 1.51, 1.5, 1.49, 1.48, 1.48, 1.45, 1.42, 1.38, 1.28, 1.16, 1.18, 
## 1.21, 1.22, 1.22, 1.19, 1.13, 1.14, 1.23, 1.27, 1.35, 1.49, 1.53, 
## 1.48, 1.45, 1.39, 1.14, 1.12, 1.09, 1.09, 1.12, 1.17, 1.22, 1.27, 
## 1.29, 1.29, 1.38, 1.36, 1.35, 1.41, 1.57, 1.6, 1.64, 1.7, 1.79, 
## 1.78, 1.84, 1.83, 1.7, 1.72, 1.56, 1.46, 1.36, 1.22, 0.95, 0.92, 
## 1, 1.09, 1.08, 1.13, 1.13, 1.13, 1.12, 1.15, 1.24, 1.23, 1.21, 
## 1.18, 0.95, 0.96, 0.96, 1.04, 1.04, 1.1, 1.16, 1.07, 1.03, 1.08, 
## 1.09, 1.11, 1.19, 1.25, 1.26, 1.21, 1.22, 1.21, 1.13, 1, 0.97, 
## 0.93, 0.93, 0.97, 0.99, 0.99, 0.89, 0.86, 0.83, 0.89, 0.92, 1.12, 
## 1.1, 1.08, 1.07, 1.07, 1.01, 0.85, 0.69, 0.63, 0.73, 0.79, 0.86, 
## 0.82, 0.76, 0.75, 0.77, 0.81, 0.87, 0.87, 0.78, 0.56, 0.54, 0.51, 
## 0.51, 0.58, 0.62, 0.63, 0.63, 1.05, 1.04, 0.95, 0.86, 0.83, 0.91, 
## 0.96, 1.1, 1.14, 1.16, 1.18, 1.19, 1.18, 1.16, 1.04, 1.03, 1, 
## 0.85, 0.86, 0.93, 0.96, 0.95, 0.6, 0.45, 0.42, 0.66, 0.71, 0.81, 
## 1.01, 1.1, 1.17, 1.23, 1.19, 1.14, 0.98, 1.19, 1.18, 1.15, 0.95, 
## 0.9, 0.9, 0.9, 0.9, 0.9, 0.99, 1.14, 1.12, 0.92, 0.79, 0.79, 
## 0.81, 0.84, 0.85, 0.83, 0.78, 0.57, 0.53, 0.61, 0.63, 0.74, 0.79, 
## 0.83, 0.98, 1.01, 1.05, 1.12, 1.13, 0.61, 0.63, 0.91, 0.95, 0.98, 
## 1, 1.02, 0.9, 0.85, 0.89, 1, 0.53, 0.52, 0.49, 0.34, 0.27, 0.3, 
## 0.28, 0.23, 0.2, 0.2, 0.15, 0.02, 0, 0.03, -0.01, -0.02, -0.04, 
## 0, 0.03, 0.02, -0.12, -0.1, -0.04, -0.04, 0.07, 0.35, 0.42, 0.43, 
## 0.44, 0.43, 0.43, 0.47, 0.48, 0.48, 0.46, 0.48, 0.5, 0.51, 0.53, 
## 0.51, 0.57, 0.71, 0.76, 0.78, 0.95, 1, 1.01, 1.03, 1.05, 0.93, 
## 0.91, 0.88, 0.86, 0.68, 0.62, 0.54, 0.5, 0.47, 0.45, 0.09, 0.03, 
## -0.13, -0.28, -0.28, -0.18, -0.06, 0.03, 0.17, 0.34, 0.56, 1.23, 
## 1.75, 1.91, 1.74, 1.56, 1.2, 0.6, -0.19, 0.77, 0.7, 0.52, 0.45, 
## 0.35, 0.42, 0.49, 0.52, 0.58, 0.45, 0.46, 0.5, 0.51, 0.55, 0.57, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 
## 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 124, 124, 
## 124, 124, 124, 124, 124, 125, 127, 128, 128, 128, 127, 127, 127, 
## 126, 127, 127, 127, 128, 129, 123, 119, 121, 128, 127, 125, 125, 
## 124, 124, 124, 124, 124, 123, 123, 123, 123, 124, 124, 123, 123, 
## 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 126, 126, 126, 126, 126, 126, 126, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 120, 
## 120, 120, 121, 120, 119, 119, 119, 119, 119, 118, 119, 119, 119, 
## 119, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 119, 119, 119, 118, 118, 118, 118, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 118, 
## 118, 118, 119, 119, 119, 119, 119, 119, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 119, 119, 119, 119, 119, 118, 118, 118, 118, 119, 118, 118, 
## 118, 118, 118, 118, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 118, 118, 119, 119, -0.29, -0.29, -0.22, -0.06, 
## 0.28, 0.37, 0.35, 0.33, 0.38, 0.38, 1.02, 0.99, 1.08, 1.12, 1.12, 
## 1.06, 1.01, 0.97, 0.94, 0.87, 0.76, 0.61, 0.53, 0.54, 0.61, 0.53, 
## 0.87, 1.15, 1.06, 1, 0.99, 1.04, 1.05, 1.05, 0.82, 0.88, 0.9, 
## 0.89, 0.88, 0.83, 0.8, 0.74, 0.7, 0.69, 0.76, 0.84, 0.95, 1.03, 
## 1.12, 1.08, 1.06, 0.93, -9.38, -12.2, -13.2, -14.1, -23.6, -24.1, 
## -24.8, -24.6, -24.3, -11.3, -6.76, 9.05, 15.2, 15.2, 15.1, 14.9, 
## 13.6, 13.1, 12.6, 10.1, 8.09, 7.05, 3.73, 1.52, 0.45, -0.62, 
## -4.74, -7.56, -17.6, -21.9, -23.2, -24.4, -26.2, -26.4, -26.6, 
## -26.6, -26.2, -25.9, -25.6, -24.6, -21.5, -15.6, -12.6, -9.56, 
## -8.05, -3.59, 6.86, 14.8, 14.1, 13.1, 11.2, 8.97, 4.78, 2, 1.06, 
## 0.13, -2.81, -6.44, -7.41, -8.46, -11.4, -14.9, -21.6, -22.8, 
## -22.9, -22.8, -21, -17.2, -12.4, -2.55, 4.47, 7.41, 11.3, 12.1, 
## 12.8, 13.4, 121, 121, 121, 121, 121, 121, 121, 120, 120, 119, 
## 119, 119, 119, 119, 122, 121, 121, 121, 122, 122, 122, 123, 123, 
## 123, 123, 123, 123, 122, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 120, 120, 
## 120, 1.24, 1.23, 1.19, 1.16, 1.15, 1.08, 1.04, 1.05, 1.07, 1.07, 
## 0.98, 0.86, 0.82, 0.77, 1.06, 1.22, 1.29, 1.53, 1.55, 1.54, 1.56, 
## 1.56, 1.63, 1.72, 1.76, 1.83, 1.75, 1.71, 1.67, 1.57, 1.51, 1.49, 
## 3.56, 3.57, 3.31, 2.41, 1.28, 0.49, -0.03, -1.42, -11.4, -12.2, 
## -16.2, -18.2, -19.2, -20.3, -24.7, -26.4, -27.9, -28.6, -28.8, 
## -28.9, -27.8, -27.5, -27.9, -28, -27.8, 0.75, 141, 140, 139, 
## 139, 137, 135, 133, 132, 132, 133, 133, 133, 133, 132, 132, 132, 
## 132, 133, 133, 137, 137, 139, 144, 153, 155, 157, 158, 159, 159, 
## 158, 158, 157, 157, 157, 155, 152, 150, 149, 147, 144, 143, 140, 
## 140, 139, 138, 137, 137, 136, 135, 135, 134, 134, 134, 134, 134, 
## 135, 136, 137, 137, 138, 138, 139, 139, 139, 138, 138, 138, 137, 
## 137, 137, 137, 137, 137, 137, 138, 138, 138, 139, 139, 139, 139, 
## 139, 138, 137, 133, 132, 131, 129, 126, 122, 122, 122, 122, 122, 
## 122, 123, 122, 123, 123, 123, 123, 3.31, 3.78, 4.24, 5.46, 6.15, 
## 6.65, 7.63, 7.62, 7.02, 6.93, 6.97, 7.17, 6.61, 6.03, 5.22, 2.75, 
## -2.03, -4.47, -6.39, -7.52, -7.97, -8.32, -8.4, -8.34, -8.35, 
## -8.3, -7.63, -7.29, -7.12, -6.71, -6.17, -4.56, -3.47, -2.86, 
## -0.29, 0.37, 5.46, 6.19, 6.87, 9.27, 9.76, 9.97, 10.1, 10.3, 
## 10.1, 9.98, 9.94, 9.58, 9.38, 9.12, 6.11, 4.79, 2, 0.61, -0.68, 
## -2.37, -6.8, -7.25, -7.42, -7.66, -7.81, -7.82, -7.68, -7.55, 
## -7.19, -5.89, -5.37, -0.66, 1.23, 5.48, 5.96, 7.53, 7.76, 7.87, 
## 7.98, 8.35, 7.77, 7.97, 7.56, 7.03, 6.64, 5.64, 3.94, 2.92, -0.78, 
## -1.31, -2.84, -3.97, -4.51, -6.47, -6.66, -6.89, -6.86, -6.61, 
## -6.31, -5.98, -5.49, 7.17, 6.85, -3.22, -6.3, -6.88, -7.87, -7.89, 
## -6.55, 1.14, 8.37, 9.68, 8.96, 8.35, 8.08, 7.84, 7.61, 7.39, 
## 6.42, 5.85, 3.46, 2.9, 1.76, 1.18, 0.59, -0.65, -1.69, -4.19, 
## -6.96, -7.61, -7.67, -7.18, -6.65, -5.55, -1.3, -0.09, 1.07, 
## 3.24, 4.25, 5.17, 6.01, 6.4, 6.6, 7.17, 7.54, 7.58, 7.65, 7.71, 
## 7.76, -6.19, -4.64, -3.74, -1.2, 2.55, 3.75, 5.05, 5.68, 6.33, 
## 6.88, 7.71, 9.21, 9.35, 9.48, 9.57, 9.65, 9.21, 6.87, 2.57, 0.32, 
## -0.41, -1.74, -3.72, -6.82, -12, -12.4, -13.3, -11.6, -11.3, 
## -6.31, -4.68, -1.35, 0.38, 12.9, 12.9, 12, 10.1, 9.35, 6.91, 
## 6.05, 3.48, -0.24, -0.92, -3.62, -5.18, -5.57, -7.29, -7.42, 
## -7.57, -7.36, -7.24, -6.18, -4.88, -4.06, -3.53, -3, -2.48, -1.34, 
## -0.74, 3.47, 4.69, 5.91, 6.51, 7.1, 7.59, 9.26, 12.6, 11.9, 11.1, 
## 10.6, 9.49, 8.83, 6.02, 2.99, 0.96, -0.37, -3.09, -5.74, -6.12, 
## -6.37, -6.85, -6.73, -6.65, -6.21, -6, -5.63, -5.53, -5.46, -5.2, 
## -4.74, -4.44, -3.57, -3.1, -2.91, -2.71, -2.58, -2.07, -2.01, 
## -1.77, -1.56, -1.18, -1.13, -0.9, -0.84, -0.66, -0.56, -0.53, 
## -0.41, -0.26, -0.12, 0.46, 0.52, 0.66, 0.72, 0.84, 0.89, 0.88, 
## 0.94, 1.91, 2.18, 2.34, 2.37, 2.43, 2.38, 2.35, 2.33, 2.3, 2.18, 
## 2.14, 2.09, 1.83, 1.57, 1.52, 1.48, 1.27, 1, 118, 118, 118, 120, 
## 126, 133, 134, 135, 136, 136, 138, 140, 140, 138, 136, 133, 129, 
## 127, 127, 126, 126, 126, 126, 126, 126, 127, 130, 133, 134, 139, 
## 139, 139, 138, 138, 139, 140, 140, 139, 139, 138, 137, 137, 133, 
## 131, 131, 129, 129, 127, 128, 128, 128, 128, 128, 128, 129, 130, 
## 131, 132, 138, 139, 139, 139, 139, 140, 141, 141, 137, 135, 133, 
## 130, 130, 129, 127, 126, 125, 124, 125, 126, 126, 126, 115, 116, 
## 122, 125, 126, 127, 131, 133, 134, 138, 140, 144, 145, 145, 146, 
## 146, 147, 149, 150, 149, 149, 149, 149, 146, 138, 135, 134, 133, 
## 131, 131, 128, 127, 127, 127, 126, 126, 126, 126, 127, 129, 130, 
## 130, 136, 137, 139, 153, 154, 155, 156, 156, 158, 158, 157, 155, 
## 154, 144, 144, 143, 142, 140, 138, 138, 137, 136, 136, 133, 131, 
## 131, 132, 133, 135, 138, 139, 141, 142, 143, 144, 146, 147, 148, 
## 149, 150, 151, 152, 152, 153, 154, 154, 154, 153, 153, 150, 147, 
## 145, 144, 144, 142, 142, 141, 141, 140, 139, 137, 135, 133, 133, 
## 132, 132, 133, 133, 133, 133, 133, 134, 134, 136, 137, 138, 139, 
## 140, 144, 147, 149, 150, 150, 155, 156, 155, 155, 154, 154, 152, 
## 151, 149, 148, 148, 146, 144, 141, 140, 138, 135, 133, 129, 125, 
## 125, 125, 128, 129, 130, 132, 133, 136, 139, 144, 146, 155, 155, 
## 155, 155, 155, 153, 149, 148, 147, 145, 140, 139, 137, 136, 134, 
## 133, 128, 127, 128, 128, 130, 131, 132, 136, 140, 142, 144, 144, 
## 151, 155, 156, 156, 157, 157, 156, 156, 156, 154, 152, 151, 148, 
## 148, 142, 139, 138, 134, 134, 129, 127, 126, 126, 130, 131, 132, 
## 133, 137, 139, 141, 141, 142, 147, 147, 149, 150, 154, 155, 155, 
## 155, 155, 155, 154, 153, 153, 149, 148, 147, 144, 143, 142, 141, 
## 137, 134, 133, 132, 130, 127, 127, 127, 128, 128, 129, 129, 130, 
## 131, 131, 132, 133, 134, 135, 136, 137, 137, 138, 139, 156, 156, 
## 155, 155, 153, 153, 150, 146, 144, 141, 140, 138, 135, 133, 132, 
## 131, 130, 130, 130, 131, 132, 135, 135, 137, 138, 138, 140, 146, 
## 149, 151, 152, 153, 154, 155, 156, 157, 157, 157, 157, 157, 156, 
## 156, 155, 154, 154, 153, 150, 149, 145, 145, 143, 141, 140, 139, 
## 138, 136, 135, 135, 131, 132, 132, 133, 133, 135, 135, 138, 139, 
## 141, 149, 149, 150, 151, 154, 155, 155, 155, 156, 156, 157, 158, 
## 157, 157, 156, 155, 154, 152, 145, 140, 139, 138, 130, 130, 129, 
## 129, 129, 129, 129, 129, 129, 130, 130, 130, 131, 131, 131, 131, 
## 133, 133, 133, 133, 133, 133, 133, 132, 131, 131, 132, 132, 132, 
## 134, 134, 134, 134, 134, 134, 133, 133, 133, 133, 131, 131, 130, 
## 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 
## 130, 130, 1.57, 1.66, 1.72, 1.73, 1.76, 1.73, 1.74, 1.5, 1.56, 
## 1.59, 1.61, 1.78, 1.91, 2.02, 2.02, 2.05, 2, 1.44, 1.46, 1.45, 
## 1.42, 1.39, 1.38, 1.28, 1.25, 1.18, 1.1, 1.06, 1.06, 1.04, 1.03, 
## 1.61, 1.63, 1.66, 1.72, 1.52, 1.36, 1.36, 1.34, 1.57, 1.66, 1.85, 
## 1.84, 1.65, 1.44, 1.62, 1.63, 1.62, 1.65, 1.29, 0.95, 1.04, 1.07, 
## 1.13, 1.47, 1.68, 1.68, 1.65, 1.57, 1.16, 1.08, 0.97, 0.98, 1.11, 
## 1.17, 1.43, 1.41, 1.4, 1.28, 1.21, 1.09, 1, 0.85, 0.71, 0.59, 
## 0.52, 0.51, 0.66, 1.82, 1.92, 2.12, 2.15, 1.97, 1.77, 1.7, 1.68, 
## 1.47, 1.46, 1.27, 1.15, 1.64, 1.72, 1.63, 1.44, 0.73, 0.63, 0.57, 
## 0.53, 0.69, 0.87, 0.94, 1.03, 1.45, 1.73, 1.86, 1.9, 1.93, 1.9, 
## 1.85, 1.79, 1.78, 1.67, 1.61, 1.38, 1.35, 1.37, 1.58, 1.5, 0.89, 
## 0.85, 0.87, 1.09, 1.14, 1.18, 1.19, 1.2, 1.24, 1.4, 1.46, 1.55, 
## 1.7, 1.57, 1.55, 1.38, 1.16, 1.04, 1.08, 1.11, 1.17, 1.19, 1.24, 
## 1.28, 1.31, 1.29, 1.16, 1.01, 0.94, 0.64, 0.54, 0.64, 0.7, 0.79, 
## 0.87, 0.93, 0.95, 1.21, 1.35, 1.52, 1.8, 1.62, 1.58, 1.73, 1.83, 
## 1.88, 1.96, 2, 2.03, 1.98, 1.78, 1.64, 1.36, 1.34, 1.25, 1.14, 
## 1.09, 1.34, 1.37, 1.53, 1.49, 1.43, 1.28, 1.21, 1.06, 0.58, 0.56, 
## 0.53, 0.57, 0.61, 0.77, 0.92, 0.98, 1.08, 1.15, 1.48, 1.58, 1.93, 
## 2, 2.06, 2.08, 2.06, 1.71, 1.68, 1.25, 1.08, 0.89, 0.61, 0.56, 
## 0.6, 0.77, 0.84, 0.93, 0.99, 1, 1.05, 1.2, 1.26, 1.34, 1.42, 
## 1.44, 1.47, 1.5, 1.53, 1.59, 1.59, 1.59, 1.67, 1.66, 1.62, 1.6, 
## 1.6, 1.57, 1.56, 1.52, 1.49, 1.46, 1.43, 1.42, 1.43, 1.43, 1.4, 
## 1.35, 1.36, 1.35, 0.55, 0.59, 0.39, -1.7, -2.42, -2.62, 1.71, 
## 1.16, 1.35, 1.88, 2.19, 2.52, 3.2, 0.64, 0.84, 0.87, 0.92, 0.96, 
## 0.93, 0.92, 0.94, 1.07, 0.81, 0.77, 0.76, 0.77, 0.74, 0.92, 0.9, 
## 0.92, 0.95, 0.93, 0.82, 1.36, 1.25, 0.93, 0.25, 0.51, 1.28, 1.72, 
## 2.64, 4.25, 4.84, 6.56, 6.83, 8.37, 7.69, 6.77, 0.43, -4.88, 
## -5.42, -5.86, -7.06, -7.55, -7.59, -7.61, -6.41, -5.24, -4.57, 
## -3.28, -1.02, -0.22, 1.28, 6.6, 9.57, 10, 10.5, 10.3, 10.4, 10.3, 
## 9.27, 8.84, 8.35, -4.29, -6.02, -6.32, -5.72, -5.58, -5.15, -4.14, 
## -3.41, -0.4, 2.12, 4.08, 4.87, 8.94, 8.68, 9.24, 9.06, 6.75, 
## 5.25, 3.37, -0.04, -2.83, -3.55, -4.69, -5.11, -5.74, -5.91, 
## -5.59, -4.91, -4.47, -4.24, -3.58, -3.17, -2.75, -1.95, -1.53, 
## 0.06, 1.62, 2.06, 3.31, 6.16, 6.24, 8.2, 8.77, 9.75, 8.97, 7.03, 
## 0.01, -1.08, -4.64, -5.73, -5.57, -5.01, -3.45, -2.79, -1.38, 
## -0.91, -0.63, 5.55, 6.16, 8.31, 8.98, 9.99, 10.2, 10.2, 9.57, 
## 4.71, 2.35, -3.51, -4.36, -6.21, -6.21, -5.2, -4.75, -4.37, -4.27, 
## -3.96, -3.13, -1.03, -0.66, -0.34, -0.09, 0.93, 1.75, 3.82, 4.57, 
## 7.52, 7.77, 8.14, 9.03, 9.5, 9.79, 9.88, 9.84, 9.41, 1.53, -2.45, 
## -3.19, -3.9, -5.44, -6.01, -5.24, -4.62, -4.25, 1.39, 1.62, 2.73, 
## 4.53, 7.54, 8.93, 9.07, 9.19, 7.91, 7.24, 0.03, -1.31, -1.87, 
## -2.72, -5.3, -5, -4.69, -3.89, -3.83, -3.78, -3.37, -3.16, -2.71, 
## -2.15, -0.91, -0.24, 0.6, 1.17, 2.89, 3.19, 3.74, 4.39, 4.79, 
## 5.7, 5.82, 5.51, 5.13, 2.72, 0.97, 0.43, -1.47, -3.67, -3.94, 
## -4.25, -4.39, -4.26, -3.15, -4.29, -4.48, -4.55, -4.22, -4.15, 
## -3.55, -2.84, -2.74, -2.54, -2.32, -0.95, -0.88, -0.6, -0.56, 
## -0.51, -0.47, -0.42, -0.38, -0.27, -0.27, -0.29, -0.34, -0.33, 
## -0.37, -0.41, -0.29, -0.14, -0.1, 0.23, 0.32, 0.36, 0.35, 0.37, 
## 0.46, 0.53, 0.53, 0.48, 124, 124, 125, 125, 126, 128, 131, 133, 
## 137, 140, 143, 145, 145, 146, 148, 149, 155, 156, 157, 159, 160, 
## 160, 159, 159, 157, 153, 152, 152, 149, 148, 145, 142, 140, 138, 
## 134, 133, 133, 132, 132, 131, 132, 132, 133, 133, 133, 134, 134, 
## 135, 139, 140, 142, 149, 153, 154, 155, 157, 158, 158, 160, 161, 
## 162, 162, 162, 161, 161, 160, 159, 157, 156, 156, 155, 152, 145, 
## 143, 141, 140, 139, 138, 138, 136, 137, 140, 142, 144, 146, 147, 
## 149, 151, 157, 158, 160, 160, 160, 160, 160, 158, 158, 157, 152, 
## 151, 148, 147, 145, 144, 144, 143, 141, 140, 139, 138, 137, 137, 
## 137, 137, 136, 136, 137, 137, 138, 139, 140, 143, 147, 147, 148, 
## 148, 149, 150, 154, 155, 156, 156, 156, 157, 159, 160, 161, 161, 
## 160, 160, 158, 157, 152, 151, 145, 143, 141, 141, 149, 150, 152, 
## 155, 157, 158, 159, 159, 159, 157, 157, 156, 155, 155, 154, 153, 
## 144, 143, 136, 134, 134, 135, 138, 141, 141, 143, 144, 145, 146, 
## 146, 147, 147, 148, 153, 158, 159, 159, 159, 159, 157, 157, 156, 
## 156, 156, 155, 155, 153, 151, 150, 148, 139, 140, 141, 142, 145, 
## 149, 149, 151, 152, 155, 155, 156, 157, 157, 157, 158, 159, 158, 
## 158, 157, 156, 155, 151, 150, 149, 148, 147, 141, 139, 138, 136, 
## 136, 136, 136, 136, 136, 136, 136, 137, 139, 139, 139, 141, 142, 
## 150, 152, 156, 157, 159, 159, 160, 160, 161, 161, 160, 158, 157, 
## 155, 154, 153, 152, 150, 148, 135, 140, 141, 142, 147, 157, 157, 
## 157, 147, 142, 141, 140, 140, 139, 138, 137, 135, 134, 134, 141, 
## 139, 139, 137, 135, 134, 133, 132, 131, 132, 134, 134, 134, 136, 
## 136, 139, 140, 139, 138, 138, 138, 138, 138, 140, 140, 140, 141, 
## 142, 145, 138, 135, 133, 132, 131, 131, 130, 130, 129, 129, 131, 
## 134, 141, 142, 143, 143, 144, 134, 138, 138, 142, 143, 144, 144, 
## 145, 145, 145, 145, 145, 144, 144, 141, 141, 140, 139, 137, 137, 
## 136, 132, 132, 132, 131, 132, 132, 132, 135, 135, 139, 140, 141, 
## 142, 144, 145, 145, 146, 145, 145, 145, 144, 142, 135, 132, 132, 
## 130, 130, 129, 129, 129, 129, 130, 132, 134, 136, 145, 145, 146, 
## 130, 131, 132, 136, 138, 141, 141, 143, 143, 143, 145, 145, 145, 
## 146, 132, 133, 133, 134, 135, 137, 138, 140, 142, 143, 143, 143, 
## 143, 143, 143, 144, 145, 146, 147, 147, 148, 144, 144, 143, 141, 
## 141, 140, 135, 133, 133, 132, 132, 139, 139, 139, 138, 138, 138, 
## 138, 138, 137, 137, 137, 136, 135, 135, 135, 135, 135, 135, 135, 
## 135, 135, 135, 135, 135, 135, 135, 135, 0.44, 0.41, 0.22, 0.29, 
## 0.31, 0.31, 0.29, 0.28, 0.3, 0.27, 0.31, 0.32, 0.33, 0.36, 0.43, 
## 0.49, 0.57, 0.61, 0.67, 0.68, 0.66, 0.73, 0.78, 0.79, 0.65, 0.6, 
## 0.58, 0.56, 0.63, 140, 140, 141, 142, 153, 155, 156, 157, 157, 
## 157, 158, 158, 158, 158, 157, 157, 157, -2.09, -1.94, -1.94, 
## -1.97, -1.95, -1.88, -1.85, -1.83, -1.76, -1.75, -1.71, -1.37, 
## -1.12, -1.06, -0.98, -0.96, -0.95, -3.16, -2.97, -2.72, -1.76, 
## -1.42, -0.84, 1.49, 5.6, 6.44, 6.72, 7.01, 7.21, 7.28, 7.2, -3.28, 
## -2.13, 0.91, 1.44, 3.15, 4.3, 4.69, 5.37, 5.29, 5.15, 5.19, 5.4, 
## 5.57, 4.2, 2.43, 1.09, -0.96, -2.48, -2.95, 0.63, 0.56, 0.45, 
## 0.42, 0.32, 0.32, 0.2, 0.21, 0.26, 0.35, 0.39, 0.52, 0.7, 1.18, 
## 1.33, 1.37, 1.35, 1.35, 1.46, 1.57, 1.58, 1.62, 1.26, 1.13, 1.1, 
## 1.26, 2.01, 1.92, 1.52, 1.44, 1.49, 1.39, 0.76, 0.71, 0.61, 0.58, 
## 0.57, 0.88, 1, 1.05, 1.13, 1.18, 1.24, 1.32, 1.4, 1.92, 1.92, 
## 1.89, 1.87, 1.73, 1.68, 1.55, 1.44, 1.34, 1.18, 1.12, 1.38, 134, 
## 134, 137, 138, 139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 
## 139, 138, 138, 139, 139, 145, 144, 143, 143, 142, 141, 140, 139, 
## 138, 134, 134, 134, 133, 133, 146, 146, 146, 146, 143, 141, 140, 
## 140, 139, 128, 128, 126, 125, 125, 126, 128, 144, 143, 143, 140, 
## 138, 135, 132, 132, 131, 131, 131, 131, 127, 130, 133, 135, 136, 
## 137, 141, 142, 142, 143, 143, 143, 143, 7.64, 8.67, 10.5, 10.7, 
## 10.7, 10.7, 10.6, 4.08, 0.41, -1.32, -1.82, -3.26, -5.48, -6.93, 
## -8.6, -8.56, -8.45, -7.81, -7.6, -6.8, -6.47, -2.69, 0.1, 2.75, 
## 4.02, 4.42, 4.82, 7.57, 5.16, 4.21, 1.26, -1.14, -1.55, -2.36, 
## -3.1, -3.99, -5.52, -5.88, -6.78, -7.09, -7.06, -7.01, -5.1, 
## -4.48, -3.52, -3.18, -2.84, -2.44, -1.12, -0.02, 3.92, 4.47, 
## 7.86, 8.11, 8.33, 8.51, 8.84, 9.05, 8.95, 8.84, 8.58, 8, 7.85, 
## 7.69, 125, 128, 129, 127, 127, 126, 124, 157, 156, 156, 156, 
## 154, 151, 148, 147, 145, 143, 143), pitch_belt = c(8.07, 8.05, 
## 8.06, 8.17, 8.18, 8.18, 8.2, 8.12, 8.08, 8.06, 8.07, 8.1, 8.1, 
## 8.11, 8.09, 8.11, 8.17, 8.19, 8.17, 8.18, 8.18, 8.11, 8.04, 8.06, 
## 8.05, 8, 7.85, 7.76, 7.69, 7.68, 7.54, 7.47, 7.46, 7.45, 7.43, 
## 7.41, 7.4, 7.35, 7.35, 7.32, 7.28, 7.27, 7.29, 7.29, 7.25, 7.26, 
## 7.28, 7.31, 7.3, 7.32, 7.31, 7.34, 7.41, 7.46, 7.48, 7.49, 7.5, 
## 7.5, 7.51, 7.52, 7.54, 7.43, 7.42, 7.43, 7.4, 7.4, 7.42, 7.44, 
## 7.43, 7.42, 7.44, 7.39, 7.35, 7.33, 7.28, 7.2, 7.15, 7.13, 7.17, 
## 7.21, 7.23, 7.6, 7.64, 7.74, 7.81, 7.82, 7.73, 7.54, 7.44, 7.28, 
## 7.22, 7.04, 7.03, 6.98, 7.03, 7.06, 7.08, 7.08, 7.08, 7.23, 7.26, 
## 28.7, 28.9, 28.9, 28.8, 28.8, 28.8, 28.6, 28.5, 28.5, 28.5, 28.8, 
## 28.6, 28.6, 28.5, 28.2, 28.2, 28.1, 28.1, 28.1, 28, 28, 28, 28, 
## 28, 28, 27.9, 27.9, 27.9, 27.9, 27.9, 27.9, 28, 27.9, 28, 28, 
## 28, 27.9, 27.9, 27.8, 27.9, 27.9, 27.9, 27.8, 27.8, 27.8, 27.8, 
## 27.8, 27.8, 27.9, 27.8, 27.8, 27.8, 27.9, 27.9, 28, 28, 27.9, 
## 27.8, 27.5, 27.4, 27.3, 27.3, 27.4, 27.6, 27.7, 27.8, 27.8, 27.9, 
## 28, 28.1, 28, 28, 27.8, 27.7, 27.7, 27.8, 27.8, 27.8, 27.2, 27, 
## 27, 27, 27.1, 27.4, 27.5, 27.5, 27.6, 27.7, 27.6, 27.6, 27.6, 
## 27.4, 27.3, 27, 26.8, 26.7, 26.6, 26.7, 26.7, 26.6, 26.5, 26.5, 
## 26.4, 26.4, 26.4, 26.2, 26.2, 26.2, 26.2, 26.2, 26.2, 26.1, 26.1, 
## 25.8, 25.8, 25.8, 25.8, 25.8, 25.8, 25.9, 26.1, 26.2, 26.3, 26.3, 
## 26.4, 26.5, 26.6, 26.7, 26.6, 25.9, 25.9, 25.9, 25.8, 25.7, 25.5, 
## 25.5, 25.4, 25.5, 25.5, 25.6, 26, 26.1, 26.2, 26.3, 26.4, 25.9, 
## 25.7, 25.6, 25.6, 25.6, 25.6, 25.5, 25.6, 25.9, 25.9, 26, 26, 
## 26, 25.9, 25.9, 25.9, 26, 26, 26.2, 26.2, 26.2, 26.3, 26.3, 26.3, 
## 26.4, 26.4, 25.7, 25.6, 25.5, 25.5, 26.7, 26.8, 26.8, 26.7, 26.6, 
## 26.3, 26.3, 26.3, 26.2, 26.2, 26.4, 26.4, 26.3, 26.2, 26.1, 26.1, 
## 26.1, 26.1, 26.1, 26.1, 26.2, 26.2, 26.1, 26.1, 26, 25.9, 25.9, 
## 26, 26.1, 26.1, 26.3, 26.5, 26.7, 26.7, 26.7, 26.7, 26.6, 26.6, 
## 26.4, 26.2, 26.1, 26.1, 26, 26, 25.9, 25.9, 25.8, 25.8, 25.7, 
## 25.5, 25.5, 25.7, 25.8, 25.8, 25.9, 26.1, 26.2, 26.2, 26.2, 26.2, 
## 26.2, 26, 25.9, 25.7, 25.7, 25.7, 25.8, 25.9, 26, 26, 26, 26.1, 
## 26.1, 26, 26, 25.9, 25.9, 25.9, 25.9, 25.9, 26, 26.1, 26, 25.8, 
## 25.8, 25.5, 25.5, 25.5, 25.6, 25.7, 26.3, 26.2, 26.2, 25.9, 25.9, 
## 25.9, 25.9, 26, 26.1, 26.1, 26, 25.9, 25.9, 25.9, 25.9, 25.9, 
## 25.8, 25.8, 25.8, 26.1, 26.2, 26.2, 26.2, 26.1, 26, 25.9, 26, 
## 25.7, 25.7, 25.7, 25.7, 25.8, 26.4, 26.5, 26.4, 26.4, 26.2, 26.3, 
## 26.3, 26.3, 26.3, 26.4, 26.4, 26.4, 26.4, 26.5, 26.4, 26.5, 26.5, 
## 26.4, 26.4, -44.9, -44.9, -44.8, -44.9, -45, -44.8, -44.6, -44.6, 
## -44.5, -44.3, -44.2, -44.2, -44, -43.8, -43.7, -43.7, -43.7, 
## -43.8, -43.7, -43.7, -43.6, -43.6, -43.5, -43.4, -43.2, -43.1, 
## -42.7, -42.6, -42.5, -42.2, -41.5, -41.1, -41, -40.9, -40.5, 
## -40.5, -40.3, -40.2, -40.2, -40.2, -40.2, -40.2, -40.2, -40.1, 
## -40, -39.9, -39.8, -39.7, -39.6, -39.6, -39.6, -39.6, -39.6, 
## -39.6, -39.6, -39.6, -39.7, -39.8, -39.8, -39.8, -39.9, -39.8, 
## -39.9, -39.9, -39.9, -40, -40, -40, -40, -40, -40, -40.1, -40.1, 
## -40.1, -40.1, -40.2, -40.2, -40.2, -40.3, -40.3, -40.4, -40.4, 
## -40.4, -40.5, -40.5, -40.4, -40.3, -40.3, -40.3, -40.3, -40.3, 
## -40.4, -40.4, -40.4, -40.4, -40.4, -40.4, -40.4, -40.4, -40.4, 
## -40.4, -40.3, -40.3, -40.2, -40.2, -39.8, -39.7, -39.7, -39.7, 
## -39.7, -39.6, -40, -40.1, -40.1, -40, -40, -39.9, -39.8, -39.6, 
## -39.5, -39.4, -39.4, -39.4, -39.5, -39.5, -39.6, -39.6, -39.3, 
## -39.5, -39.5, -39.8, -39.8, -39.8, -39.8, 17.3, 17.3, 17.3, 17.6, 
## 17.7, 17.8, 17.9, 17.9, 17.9, 17.8, 17.7, 17.7, 17.6, -39.8, 
## -39.7, -39.7, -39.7, -39.7, -39.8, -39.8, -39.8, -42.8, -42.6, 
## -42.5, -42.1, -41.6, -41.2, -40.8, -40.3, -40.3, -40.8, -40.9, 
## -41.2, -41.2, -41.2, -41.3, -41.3, -44.1, -44.2, -44.2, -44.2, 
## -44.2, -44.2, -44.3, -45, -44.9, -44.8, -41.3, -41.3, -41.3, 
## -41.3, -41.2, -41.1, -40.8, -40.7, -40.6, -40, -39.7, -39.6, 
## -39.4, -39.4, -39.4, -39.5, -39.6, -39.9, -40.3, -40.6, -40.8, 
## -42, -42.2, -42.3, -42.4, -42.5, -43.2, -43.7, -44.5, -44.5, 
## -44.4, -44.4, -44, -43.9, -43.7, -43.3, -42.8, -42.6, -42.4, 
## -41.5, -41, -40.9, -40.7, -40.3, -40.3, -40.5, -41.4, -42.5, 
## -42.8, -43.1, -42.9, -42.5, -42.3, -41.6, -41.5, -40.6, -40.3, 
## -40.2, -40.2, -40.2, -40.4, -40.5, -40.5, -40.5, -40.7, -40.8, 
## -40.8, -40.9, -40.9, -40.9, -40.9, -41, -41.1, -41.2, -41.3, 
## -41.5, -41.6, -41.6, -41.6, -41.5, -41.3, -41.3, -41.6, -41.7, 
## -41.9, -42, -42.3, -42.3, -42.2, -42.6, -42.6, -42.7, -42.7, 
## -42.7, -42.7, -42.7, -42.7, -42.7, -42.8, -42.8, -42.8, -42.8, 
## -42.8, -42.8, -42.7, -42.7, -42.9, -42.9, -42.9, -43, -43.1, 
## -43.1, -43, -42.9, -42.8, -42.8, -42.9, -42.9, -43, -43, -43, 
## -43, -43, -43, -43.1, -43.1, -43.1, -43, -43, -43, -43, -43.1, 
## -43.1, -43.2, -43.3, -43.3, -43.3, -43.3, -43.3, -43.2, -43.2, 
## -43.4, -43.4, -43.3, -43.3, -43.4, -43.7, -43.8, -43.9, -43.8, 
## -43.8, -43.8, -43.7, -43.7, -43.7, -43.6, -43.6, -43.5, -43.5, 
## -43.4, -43.4, -43.5, -43.5, -43.6, -43.6, -43.6, -43.6, -43.6, 
## -43.7, -43.8, -43.5, -43.5, -43.5, -43.6, -43.6, -43.6, -43.7, 
## -43.8, -43.9, -43.9, -43.8, -43.7, -43.6, -43.6, -43.5, -43.5, 
## -43.6, -43.7, -43.7, -43.8, -43.8, -44, -44, -44, -43.8, -43.8, 
## -43.8, -43.8, -43.8, -43.7, -43.7, -43.6, -43.7, -43.7, -43.7, 
## -43.7, -43.7, -43.8, -44, -44.1, -44.2, -44.2, -44.2, -44.2, 
## -44.2, -44.1, -43.9, -43.7, -43.7, -43.7, -43.7, -43.7, -43.8, 
## -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, 
## -43.8, -43.9, -43.9, -43.9, -44, -43.9, -43.8, -43.7, -43.7, 
## -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, 
## -43.7, -43.7, -43.8, -43.9, -44, -44, -44.1, -44.1, -43.9, -43.9, 
## -43.8, -43.8, -43.8, -43.8, -43.9, -43.9, -43.9, -43.9, -43.9, 
## -43.9, -43.9, -43.9, -43.9, -44, -44, -44, -43.9, -43.9, -43.9, 
## -43.8, -43.9, -43.9, -43.9, -43.9, -44, -43.8, -43.8, -43.5, 
## -43.6, -43.7, -43.7, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, 
## -43.8, -43.9, -43.9, -44, -44, -43.9, -43.8, -43.9, -43.9, -43.9, 
## -44, -44, -43.9, -43.9, -43.9, -43.8, -43.9, -43.9, -43.9, -43.9, 
## -43.8, -43.8, -43.9, -44, -44, -44, -43.9, -44, -44, -44, -43.9, 
## -43.8, -43.7, -43.7, -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, 
## -43.6, -43.7, -43.6, -43.6, -43.6, -43.6, -43.6, -43.7, -43.7, 
## -43.7, -43.8, -44, -44.1, -44.1, -44, -43.9, -43.8, -43.7, -43.6, 
## -43.6, -43.5, -43.4, -43.4, -43.3, -43.2, -43.2, -43.2, -43.2, 
## -43.2, -43.2, -43.3, -43.3, -43.3, 5.66, 5, 4.68, 4.68, 4.73, 
## 5.22, 5.31, 5.41, 5.49, 5.65, 5.62, 5.61, 5.61, 5.54, 5.54, 5.43, 
## 5.38, 5.33, 5.28, 5.07, 4.74, 4.72, 4.8, 4.86, 4.94, 5.02, 5.28, 
## 5.43, 5.51, 6.22, 6.2, 6.1, 6.08, 6.05, 6.07, 6.12, 5.89, 5.37, 
## 5.36, 5.39, 5.41, 5.37, 5.34, 4.8, 4.45, 4.3, 4.16, 4.13, 4.12, 
## 4.14, 4.64, 4.79, 5, 5.05, 5.04, 4.96, 4.9, 4.75, 4.78, 4.83, 
## 4.97, 5.13, 5.17, 5.24, 5.45, 5.63, 5.64, 5.64, 5.6, 5.31, 5.2, 
## 4.93, 4.75, 4.76, 4.66, 4.76, 4.89, 4.91, 4.53, 4.44, 4.13, 4.03, 
## 3.73, 3.63, 3.54, 2.97, 2.96, 2.96, 2.96, 2.97, 3.14, 3.44, 3.53, 
## 3.7, 3.83, 3.89, 3.83, 3.86, 4.04, 4.12, 4.21, 4.33, 4.36, 4.36, 
## 4.36, 4.37, 4.4, 4.68, 4.79, 4.89, 4.88, 4.88, 4.72, 4.5, 4.44, 
## 4.41, 4.19, 4.12, 4.09, 3.93, 3.8, 3.83, 4.22, 4.49, 4.59, 4.73, 
## 4.95, 4.95, 4.93, 4.92, 4.9, 4.87, 4.9, 4.72, 4.8, 4.71, 4.56, 
## 4.12, 3.93, 3.69, 3.64, 3.56, 3.54, 3.52, 3.54, 3.66, 3.69, 3.66, 
## 3.66, 3.9, 4.78, 4.83, 4.81, 4.82, 4.69, 4.64, 4.22, 4.17, 4.08, 
## 4.03, 3.99, 4.21, 4.32, 4.42, 4.7, 4.73, 4.72, 4.77, 4.79, 4.39, 
## 4.34, 4.29, 4.08, 3.95, 3.95, 3.94, 3.92, 3.74, 3.7, 3.54, 3.85, 
## 4.13, 4.43, 4.52, 4.55, 4.48, 3.99, 3.76, 3.46, 3.22, 3.09, 2.79, 
## 2.74, 2.99, 3.17, 3.63, 3.71, 3.78, 3.92, 4.04, 4.08, 3.23, 3.27, 
## 3.7, 4.06, 4.15, 4.22, 4.49, 4.51, 4.49, 4.23, 4.17, 3.78, 3.64, 
## 3.56, 3.54, 3.51, 3.56, 3.56, 3.37, 3.29, 3.54, 3.84, 4.47, 4.63, 
## 4.26, 4.15, 3.93, 3.82, 3.58, 3.21, 3.12, 2.9, 2.41, 2.53, 2.5, 
## 2.35, 2.33, 2.52, 2.68, 2.77, 3.03, 3.1, 3.16, 3.23, 3.34, 3.29, 
## 3.3, 3.33, 3.35, 3.27, 3.27, 3.33, 3.35, 3.37, 3.38, 3.38, 3.36, 
## 3.36, 3.37, 3.26, 3.2, 2.83, 2.75, 2.73, 2.77, 3.08, 4.08, 4.18, 
## 4.43, 4.39, 4.11, 3.88, 3.44, 3.36, 3.16, 3.18, 3.23, 3.26, 3.51, 
## 3.54, 3.59, 3.61, 1.87, 2.04, 2.18, 2.26, 2.89, 3.44, 3.49, 3.47, 
## 3.47, 3.45, 3.35, 3.31, 3.3, 3.3, 3.32, 3.36, 3.37, 3.4, 3.42, 
## 3.48, 3.45, 3.46, 3.45, 3.53, 3.54, 3.36, 3.38, 3.54, 3.53, 3.41, 
## 3.38, 3.41, 3.44, 3.5, 3.51, 3.52, 3.54, 3.53, 3.57, 3.78, 4.13, 
## 4.26, 4.31, 4.02, 3.92, 3.27, 3.12, 2.68, 2.3, 2.2, 1.95, 1.33, 
## 1.14, 0.92, 1.34, 1.58, 1.67, 3.28, 4.52, 5.01, 5, 4.82, 4.7, 
## 4.31, 4.12, 4.04, 3.82, 3.98, 4.45, 4.56, 5.39, 5.42, 5.43, 4.69, 
## 4.53, 4.29, 4.23, 3.96, 3.71, 3.53, 3.18, 2.64, 2.44, 2.07, 1.17, 
## 1.05, 0.81, 0.98, 1.25, 1.44, 5.39, 5.38, 5.37, 5.42, 5.45, 5.43, 
## 5.42, 5.41, 5.38, 5.38, 5.41, 5.38, 5.33, 5.27, 5.35, 5.39, 5.4, 
## 5.37, 5.36, 5.35, 5.35, 4.96, 4.93, 4.91, 4.87, 4.78, 4.78, 4.83, 
## 4.88, 4.92, 4.9, 4.83, 4.7, 4.69, 4.69, 4.71, 4.75, 4.87, 4.87, 
## 4.82, 4.8, 4.75, 4.76, 4.77, 4.85, 4.93, 4.95, 4.96, 4.97, 4.97, 
## 4.97, 4.99, 4.98, 4.94, 4.91, 4.89, 4.84, 4.84, 4.84, 4.86, 4.91, 
## 4.9, 4.9, 4.91, 4.9, 4.89, 4.86, 4.82, 4.82, 4.96, 5.3, 5.39, 
## 5.63, 5.7, 6.01, 6.05, 5.85, 5.28, 5.15, 4.69, 4.5, 4.48, 4.51, 
## 5.15, 5.23, 5.3, 5.36, 5.4, 5.4, 5.38, 5.38, 5.36, 5.57, 5.69, 
## 5.75, 5.78, 5.82, 5.86, 5.86, 5.82, 5.8, 5.73, 5.68, 5.59, 5.72, 
## 5.71, 5.68, 5.63, 5.59, 5.69, 5.68, 5.61, 5.57, 5.64, 5.65, 5.68, 
## 5.78, 5.84, 5.86, 5.92, 5.93, 5.88, 5.78, 5.75, 5.6, 5.61, 5.63, 
## 5.64, 5.66, 5.71, 5.7, 5.24, 5.17, 4.92, 4.92, 4.91, 4.84, 4.74, 
## 4.77, 4.79, 4.78, 4.75, 4.76, 4.86, 4.89, 4.92, 4.95, 4.96, 5.05, 
## 5.08, 5.08, 5.55, 5.59, 5.58, 5.53, 5.53, 5.55, 5.43, 5.4, 5.37, 
## 5.33, 5.12, 5.1, 5.09, 5.06, 5.05, 5.11, 5.08, 5.03, 5.05, 5.12, 
## 5.19, 5.11, 5.18, 5.2, 5.21, 5.18, 5.14, 5.14, 5.09, 5.09, 5.09, 
## 5.09, 5.1, 5.1, 5.11, 5.11, 5.09, 5.09, 5.07, 5.07, 5.07, 5.06, 
## 5.11, 5.14, 5.2, 5.22, 5.27, 5.23, 5.24, 5.23, 5.25, 5.26, 5.25, 
## 5.25, 5.16, 5.21, 5.23, 5.14, 5.16, 5.16, 5.17, 7.45, 7.52, 7.51, 
## 7.47, 7.38, 7.23, 7.28, 7.36, 7.43, 7.41, 7.37, 7.37, 7.4, 7.06, 
## 6.78, 6.66, 6.52, 6.44, 6.48, 6.65, 6.61, 6.55, 6.52, 6.5, 6.48, 
## 6.46, 6.48, 6.49, 6.53, 6.57, 6.96, 7.07, 7.37, 7.68, 7.86, 8.02, 
## 8.08, 7.23, 7.23, 7.38, 7.47, 7.49, 7.47, 7.52, 7.71, 7.91, 8.13, 
## 8.16, 8.03, 7.68, 7.66, 7.69, 7.71, 7.7, 7.67, 7.61, 7.58, 7.5, 
## 7.33, 7.27, 7.22, 7.17, 7.07, 7.03, 6.98, 6.87, 6.71, 6.66, 6.48, 
## 6.54, 6.67, 6.76, 7.48, 7.92, 8.05, 8.19, 8.33, 8.53, 8.73, 8.62, 
## 8.53, 7.3, 6.84, 6.54, 7.32, 7.41, 7.5, 7.8, 7.97, 8.01, 7.68, 
## 7.59, 7.5, 7.48, 7.41, 7.07, 7.05, 7, 6.8, 6.77, 6.75, 6.68, 
## 6.91, 7.32, 7.62, 7.57, 7.51, 7.09, 7.02, 6.97, 6.83, 6.78, 6.76, 
## 6.7, 6.69, 6.63, 6.61, 6.63, 6.71, 6.95, 8.21, 8.33, 8.55, 8.62, 
## 8.6, 8.64, 8.66, 8.62, 8.55, 8.32, 8.25, 8.24, 8.23, 8.01, 7.94, 
## 7.88, 7.82, 7.3, 7.24, 7.26, 7.48, 7.52, 7.58, 7.69, 7.66, 7.41, 
## 7.11, 6.87, 6.61, 6.27, 6.25, 6.17, 6.15, 6.14, 6.12, 6.05, 6.25, 
## 6.42, 7.51, 7.69, 8.24, 8.25, 7.92, 7.13, 6.99, 6.69, 6.68, 6.6, 
## 6.49, 6.4, 6.31, 6.03, 5.96, 5.99, 5.99, 6.05, 6.11, 6.64, 6.73, 
## 6.88, 6.97, 7.28, 7.47, 7.31, 7.27, 7.17, 7, 6.92, 6.86, 6.74, 
## 7.66, 7.8, 7.9, 8.02, 8, 7.92, 7.85, 7.81, 7.56, 7.41, 7.31, 
## 7.36, 7.51, 7.51, 7.64, 7.59, 7.14, 6.74, 6.69, 6.67, 6.72, 7.36, 
## 7.62, 7.42, 7.16, 6.77, 6.78, 6.88, 6.89, 6.86, 6.66, 6.7, 7.26, 
## 7.42, 7.8, 7.86, 7.93, 7.93, 7.97, 7.95, 7.85, 7.82, 7.89, 8.12, 
## 8.16, 8.09, 7.97, 7.87, 7.87, 8, 8.05, 7.98, 7.79, 7.47, 7.4, 
## 7.52, 7.56, 7.6, 7.58, 7.53, 7.28, 7.09, 7.01, 6.8, 6.7, 6.74, 
## 7.64, 7.72, 7.79, 7.5, 7.53, 7.19, 7.4, 7.6, 7.79, 7.88, 7.72, 
## 7.66, 7.54, 7.78, 8.09, 8.25, 8.18, 8.06, 7.97, 7.98, 7.97, 8, 
## 7.98, 7.95, 7.93, 7.72, 7.67, 7.54, 7.55, 7.55, 7.46, 7.35, 7.28, 
## 7.53, 7.76, 7.82, 7.89, 7.89, 7.9, 7.89, 8.13, 8.26, 8.18, 8.09, 
## 7.79, 7.67, 7.57, 7.41, 7.17, 7.2, 7.22, 7.25, 7.26, 7.44, 7.7, 
## 8.32, 8.32, 8.23, 8.15, 8.13, 8.11, 8.13, 7.95, 7.74, 7.39, 6.75, 
## 6.65, 6.67, 6.71, 6.84, 6.86, 6.86, 6.92, 6.95, 7.17, 7.23, 7.53, 
## 7.49, 7.48, 7.42, 7.26, 7.19, 7.19, 7.19, 7.25, 7.28, 7.29, 7.35, 
## 7.37, 7.39, 7.42, 7.43, 7.47, 7.54, 7.55, 7.59, 7.65, 7.67, 7.66, 
## 7.65, 7.66, 7.69, 7.67, 7.66, 7.66, 7.64, 7.88, 7.92, 7.92, 7.88, 
## 7.83, 7.75, 7.7, 7.69, 7.65, 7.62, 7.6, 7.52, 7.47, 5.05, 5.06, 
## 5.12, 5.14, 5.15, 5.08, 5.09, 5.06, 5.03, 5.03, 5.04, 5.05, 5.05, 
## 5.07, 5.08, 5.08, 5.08, 5.09, 5.09, 5.08, 5.09, 5.09, 5.09, 5.08, 
## 5.07, 5.07, 5.06, 5.08, 5.11, 5.26, 5.27, 5.27, 5.29, 5.29, 5.15, 
## 5.11, 4.68, 4.5, 4.71, 5.41, 5.28, 5.19, 5.11, 4.82, 4.42, 4.32, 
## 4.75, 5.29, 5.37, 5.51, 4.97, 5.01, 5.07, 5.14, 5.19, 5.23, 4.88, 
## 3.98, 4.17, 4.29, 4.34, 4.39, 4.49, 4.55, 4.58, 4.61, 4.74, 4.77, 
## 4.9, 5.2, 5.48, 5.55, 5.42, 5.84, 5.95, 6.02, 5.95, 5.72, 5.55, 
## 5.29, 5.54, 5.79, 5.73, 5.59, 5.59, 5.65, 5.77, 5.8, 5.84, 5.85, 
## 5.87, 5.91, 5.97, 5.96, 5.94, 5.91, 5.88, 5.84, 5.8, 5.79, 5.79, 
## 5.82, 5.86, 5.96, 5.97, 5.91, 5.81, 5.79, 5.78, 5.8, 5.81, 5.83, 
## 5.82, 5.84, 5.86, 5.76, 5.68, 5.15, 4.98, 4.84, 4.84, 4.85, 4.95, 
## 4.81, 4.75, 4.74, 3.98, 4.5, 4.89, 5.23, 5.86, 5.93, 5.67, 5.56, 
## 4.35, 3.74, 4.73, 5.26, 5.41, 5.85, 5.95, 6.05, 5.96, 5.7, 5.48, 
## 5.41, 4.97, 4.84, 4.7, 4.53, 4.23, 4.06, 3.79, 3.69, 3.17, 3.2, 
## 3.32, 3.44, 4.72, 4.93, 5.38, 5.5, 5.62, 5.6, 5.54, 5.45, 5.13, 
## 4.92, 4.7, 4.57, 4.44, 4.32, 4.09, 3.99, 3.98, 4.72, 4.76, 4.76, 
## 4.49, 4.48, 4.53, 4.5, 4.39, 4.25, 4.16, 4.05, 4, 3.93, 3.86, 
## 3.83, 3.91, 3.8, 3.42, 4.29, 4.63, 4.86, 5.02, 5.09, 5.16, 5.26, 
## 5.3, 5.32, 5.09, 4.53, 4.45, 4.39, 4.17, 4.01, 3.57, 3.76, 4.45, 
## 4.41, 4.43, 4.63, 4.75, 4.63, 4.51, 4.08, 3.87, 3.63, 3.49, 3.34, 
## 2.88, 2.87, 2.75, 2.53, 2.52, 2.52, 3.54, 4.16, 4.38, 4.6, 4.81, 
## 5.58, 5.63, 5.6, 4.99, 4.79, 4.62, 4.53, 4.36, 4.32, 4.28, 4.26, 
## 4.28, 5.18, 5.19, 5.21, 5.23, 5.2, 5.12, 5.05, 4.54, 3.93, 3.91, 
## 3.85, 3.52, 3.37, 3.3, 4.69, 4.78, 4.98, 5.1, 5.38, 5.67, 5.9, 
## 6.14, 6.02, 5.79, 4.68, 3.72, 3.6, 3.64, 4.84, 4.77, 4.88, 4.99, 
## 4.4, 4.38, 4.35, 4.26, 4.03, 3.72, 3.64, 3.56, 3.48, 3.58, 3.64, 
## 4.06, 4.27, 4.89, 5.04, 4.76, 4.4, 4.31, 4.14, 3.63, 3.64, 3.68, 
## 3.77, 4.28, 4.45, 4.5, 4.47, 4.32, 4.25, 4.17, 4.05, 3.96, 3.88, 
## 3.54, 3.25, 2.1, 2.01, 2.48, 3.41, 4.08, 4.36, 4.51, 5.28, 5.29, 
## 4.68, 4.65, 4.66, 5.29, 4.99, 4.83, 4.34, 4.22, 3.96, 3.27, 3.25, 
## 2.73, 2.62, 2.27, 2.25, 2.33, 3.27, 3.52, 4.4, 4.7, 5.01, 5.32, 
## 5.45, 5.91, 6.62, 7.25, 7.54, 7.5, 7.41, 7.18, 5.38, 5.2, 5.04, 
## 4.9, 5.45, 5.54, 5.44, 5.34, 5.23, 5.11, 5.03, 4.63, 4.53, 4.33, 
## 4.03, 3.71, 3.68, 3.62, 3.6, 3.57, 3.54, 3.52, 3.49, 3.7, 3.81, 
## 4.93, 5.16, 5.26, 6, 6, 5.81, 5.73, 4.42, 3.98, 5.45, 5.6, 6, 
## 5.97, 5.74, 5.07, 4.98, 4.57, 4.48, 4.4, 4.31, 4.07, 3.76, 3.7, 
## 3.71, 3.77, 4.04, 4.11, 4.18, 4.25, 4.74, 5.69, 6.38, 6.01, 5.32, 
## 5.15, 4.86, 4.1, 4.03, 4.52, 4.66, 4.82, 5.04, 5.1, 4.88, 4.81, 
## 4.84, 4.96, 5.08, 5.36, 5.8, 5.99, 5.8, 5.69, 5.63, 5.33, 5.28, 
## 5.13, 4.69, 4.51, 3.43, 3.54, 5.42, 5.55, 5.81, 5.64, 5, 4.87, 
## 4.54, 4.45, 4.16, 4.05, 4.06, 4.12, 4.19, 4.26, 4.28, 4.51, 4.61, 
## 4.63, 4.71, 4.63, 4.62, 4.68, 4.74, 4.77, 4.77, 4.78, 4.77, 4.78, 
## 4.8, 4.83, 5.65, 5.63, 5.31, 5.37, 5.56, 5.62, 5.59, 5.51, 5.46, 
## 5.19, 5.14, 5.08, 5.15, 5.2, 5.54, 5.92, 5.9, 5.85, 5.97, 6.08, 
## 6.1, 6.12, 6.16, 6.17, 5.95, -43.5, -43.5, -43.5, -43.6, -43.7, 
## -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.8, -43.8, 
## -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, 
## -43.7, -43.7, -43.6, -43.6, -43.7, -43.8, -43.8, -43.8, -43.7, 
## -43.7, -43.7, -43.7, -43.7, -43.6, -43.6, -43.5, -43.5, -43.4, 
## -43.4, -43.4, -43.4, -43.4, -43.5, -43.5, -43.5, -43.5, -43, 
## -43, -43, -43.1, -43.1, -43.1, -43.1, -43.1, -43.1, -43.3, -43.3, 
## -43.3, -42.4, -42.3, -42.3, -42.4, -42.4, -42.5, -42.6, -42.6, 
## -42.6, -42.7, -42.7, -42.5, -42.5, -42.6, -42.6, -42.6, -42.6, 
## -42.5, -42.5, -42.5, -42.5, -42.8, -42.8, -42.9, -42.9, -42.9, 
## -42.8, -42.6, -42.1, -42.1, -42.1, -42.1, -42.2, -42.2, -42.3, 
## -42.3, -42.4, 39, 39.1, 39.2, 39.3, 39.4, 39.8, 39.9, 40.3, 40.9, 
## 41, 41.1, 41.1, 41.1, 41.1, 41.2, 41.2, 33.1, 33.2, 33.6, 33.8, 
## 34.1, 34.9, 35.7, 36.5, 33.7, 33.3, 32, 32, 31.9, 31.7, 31.6, 
## 31.1, 30.9, 30.8, 30.6, 30.5, 30.4, 30.4, 30.2, 30.2, 30.1, 30, 
## 30, 29.8, 29.8, 29.9, 29.5, 29.1, 26.7, 25.9, 23.8, 24.8, 25.1, 
## 25.2, 25.4, 25.5, 25.7, 27, 27, 27.1, 27.1, 27.2, 27.2, 27.2, 
## 27.2, 27.3, 27.3, 27.2, 27.2, 27.2, 27, 27, 27, 27.1, 27, 27, 
## 27, 26.9, 26.9, 26.9, 27, 27, 27, 26.9, 26.8, 26.7, 26.7, 26.5, 
## 26.6, 26.6, 26.6, 26.5, 26.4, 26.4, 26.3, 26.2, 26.2, 26.2, 26.2, 
## 26.2, 26.2, 26.1, 26.1, 26.1, 26, 24.6, 24.8, 24.9, 24.9, 24.9, 
## 24.9, 24.9, 24.8, 24.8, 24.7, 24.4, 24.3, 24.2, 24.1, 24.1, 24, 
## 24, 23.9, 23.8, 23.8, 23.7, 23.8, 23.9, 24, 24.1, 24, 23.8, 23.7, 
## 23.5, 23.4, 23.3, 22.9, 22.6, 22.6, 22.7, 22.9, 22.9, 22.9, 23, 
## 23, 23, 23, 23.2, 23.1, 23, 22.9, 22.8, 22.7, 22.4, 22.4, 22.3, 
## 22.2, 22.2, 22.1, 22.1, 22.1, 22.1, 22.1, 21.4, 21.3, 21.3, 21.4, 
## 21.4, 21.4, 21.4, 21.4, 21.5, 21.6, 21.6, 21.6, 21.5, 21.2, 21.1, 
## 21.1, 20.8, 20.5, 20.4, 20.3, 19.9, 19.8, 19.8, 19.9, 19.9, 19.9, 
## 19.9, 20.1, 20.2, 20.2, 20.2, 20.2, 20.2, 20.1, 20.1, 20.1, 20.2, 
## 20.3, 20.3, 20.2, 20.2, 20.2, 20.2, 20, 19.7, 19.6, 19.3, 19.2, 
## 19.2, 19.3, 19.4, 19.5, 19.5, 19.5, 19.5, 19.5, 19.5, 19.4, 19.2, 
## 18.9, 18.7, 18.1, 17.9, 17.8, 17.7, 17.7, 17.6, 17.6, 17.9, 17.9, 
## 18, 18.1, 18.1, 18.1, 18.1, 18.1, 18.2, 18.2, 18.2, 18.2, 18.2, 
## 18.2, 18.2, 18.2, 18.1, 18, 17.9, 17.9, 17.8, 17.6, 17.3, 17, 
## 17, 17, 16.9, 16.9, 16.9, 17, 17.3, 17.3, 17.3, 17.4, 17.2, 17.2, 
## 17.2, 17.3, 17.3, 17.5, 17.5, 17.5, 17.4, 17.2, 17.2, 17.2, 17.1, 
## 16.9, 16.9, 16.5, 16.3, 16.2, 16.2, 16.4, 16.5, 16.6, 16.7, 16.8, 
## 16.8, 16.9, 16.7, 16.6, 16.6, 16.7, 16.8, 16.8, 16.6, 16.3, 16.2, 
## 16.2, 16.2, 16.2, 16.3, 16.4, 16.5, 16.5, 16.5, 16.5, 16.5, 16.4, 
## 16.3, 16.2, 15.8, 15.8, 15.6, 15.4, 15.3, 15.2, 15.4, 15.5, 15.8, 
## 16, 16, 16, 16, 16, 16, 15.9, 15.9, 15.5, 15.5, 15.5, 15.5, 15.7, 
## 15.8, 16.2, 16.3, 16.4, 16.4, 16.4, 16.5, 16.5, 16.5, 16.5, 16, 
## 16, 15.7, 15.6, 15.6, 15.5, 15.5, 15.5, 15.9, 16.2, 16.3, 16.3, 
## 16.2, 16.2, 16.1, 16, 16, 16, 16.3, 16.2, 16.2, 16.1, 16, 15.9, 
## 15.8, 15.7, 15.5, 15.5, 15.5, 15.5, 15.5, 15.6, 15.6, 15.7, 16, 
## 16.1, 16.3, 16.4, 16.4, 16.4, 16.5, 16.4, 16.3, 16.2, 16, 15.9, 
## 15.9, 15.9, 15.9, 15.9, 15.9, 16, 16, 16, 16.1, 16.1, 16.1, 16, 
## 15.9, 15.8, 15.8, 16, 16.1, 16.1, 16.3, 16.5, 16.7, 16.9, 16.9, 
## 16.7, 16, 16.7, 16.7, 16.8, 16.9, 17, 17, 17, 17, 17, 17, 16.8, 
## 16.8, 16.8, 16.8, 16.7, 16.7, 16.6, 16.6, 16.6, 16.6, 16.6, 16.6, 
## -43.3, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, 
## -43.5, -43.5, -43.4, -43.4, -43.5, -43.5, -43.6, -43.6, -43.6, 
## -43.6, -43.6, -43.7, -43.7, -43.8, -43.7, -43.7, -43.6, -43.6, 
## -43.5, -43.4, -43.4, -43.4, -43.5, -43.5, -43.6, -43.8, -43.9, 
## -43.9, -44.1, -43.9, -44, -44, -44, -44.1, -44.1, -44.2, -44.2, 
## -44.3, -44.4, -44.5, -44.6, -44.6, -44.7, -44.7, -44.8, -44.8, 
## -44.8, -44.8, -44.8, -44.8, -44.7, -44.5, -44.7, -44.8, -44.9, 
## -44.9, -44.9, -44.9, 16.5, 16.5, 16.5, 16.5, 16.5, 16.4, 16.4, 
## 16.1, 16.1, 16.1, 16, 16, 17.1, 17.1, 17.2, 17.3, 17.3, 17.3, 
## 17.4, 17.5, 17.5, 17.5, 17.5, 17.5, 17.5, 17.5, 17.4, 17.4, 17.4, 
## 17.3, 17.3, 17.3, 17.3, 20.7, 20.7, 20.8, 20.9, 21, 21, 21.1, 
## 21, 20.8, 20.7, 20.7, 20.6, 22.1, 22.2, 22.2, 22.1, 22, 21.9, 
## 21.7, 21.7, 21.6, 21.3, 21.1, 21.2, 21.2, 21.2, 25.9, 25.8, 25.3, 
## 25.2, 24.9, 24.9, 24.8, 24.7, 24.6, 24.5, 24.4, 41, 40.8, 40.4, 
## 40.1, 39.7, 39, 38.4, 37.1, 34, 33.5, 32.8, 32.4, 32.6, 4.71, 
## 4.69, 4.66, 4.65, 4.63, 4.5, 4.45, 4.42, 4.38, 4.35, 4.24, 4.09, 
## 4.04, 3.97, 3.93, 3.82, 3.68, 3.61, 5.08, 5.08, 5.08, 5.09, 5.08, 
## 5.1, 5.13, 5.14, 5.17, 5.18, 5.17, 5.12, 5.09, 5.07, 5.08, 5.24, 
## 5.45, 5.44, 3.63, 3.62, 3.67, 3.7, 3.9, 2.63, 1.87, 3.81, 4.06, 
## 4.4, 4.58, 5.05, 5.08, 5.09, 4.67, 4.42, 3.6, 3.44, 3.19, 3.18, 
## 4.1, 4.07, 4, 4, 3.99, 3.97, 4, 3.98, 3.86, 3.62, 3.64, 3.65, 
## 3.7, 3.59, 3.59, 4.44, 4.43, 4.27, 4.28, 4.3, 4.3, 4.36, 4.4, 
## 4.48, 4.53, 4.62, 4.61, 4.62, 4.59, 4.55, 4.48, 4.68, 4.7, 4.47, 
## 4.3, 4.47, 4.54, 4.62, 4.75, 4.8, 4.95, 4.98, 4.91, 4.87, 4.81, 
## 4.76, 5.56, 5.46, 5.33, 5.23, 5.14, 4.95, 4.87, 4.71, 4.41, 4.38, 
## 4.34, 4.34, 4.37, 4.41, 4.43, 4.56, 4.54, 4.48, 4.4, 5.07, 6.14, 
## 6.18, 6.32, 5.98, 5.95, 5.85, 5.81, 5.75, 5.06, 4.59, 4.45, 4.53, 
## 4.82, 5, 5.27, 5.31, 6.01, 6.01, 5.94, 5.8, 5.58, 5.59, 5.6, 
## 5.61, 5.61, 5.62, 5.66, 5.68, 5.69, 5.73, 5.74, 5.79, 5.93, 5.97, 
## 6.08, 5.69, 5.72, 5.72, 5.74, 5.77, 5.68, 5.65, 5.51, 5.48, 5.43, 
## 5.6, 5.87, 26.1, 26.2, 26.3, 26.3, 26.3, 25.9, 25.7, 25.8, 25.9, 
## 26, 26.1, 26.4, 26.4, 26.4, 25.8, 25.8, 25.9, 26, 26.1, 26.3, 
## 26.3, 26.4, 26.4, 26, 25.9, 26.3, 26.3, 26.1, 26, 25.8, 25.9, 
## 25.9, 26.1, 26.3, 26, 25.8, 25.6, 25.6, 25.4, 25.3, 26.2, 26.2, 
## 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26.1, 26.1, 28.6, 
## 28.6, 7.26, 7.38, 7.54, 7.58, 7.69, 7.74, 8.02, 8.06, 8.15, 8.17, 
## 8.16, 8.12, 8.07, 7.96, 7.9, 7.87, 26.4, 26.2, 26.1, 26.1, 25.7, 
## 25.6, 25.9, 26.3, 26.6, 26.7, 26.9, 27, 27, 27.3, 27.2, 27.1, 
## 26.9, 26.5, 26.4, 26.3, 26.2, 26.5, 27, 26.8, 26.8, 26.8, 26.7, 
## 26.5, 26.5, 26.2, 26.2, 26.1, 26.2, 26.3, 26.4, 26.3, 26.3, 26.4, 
## 26.5, 26.8, 27.1, 27.5, 27.5, 27.5, 27.5, 27.4, 27.1, 26.9, 26.4, 
## 26.4, 26.4, 26.6, 26.8, 26.8, 26.7, 26.5, 26.6, 26.9, 27, 27, 
## 27.3, 27.3, 27.3, 27.8, 27.9, 27.9, 27.2, 27.1, 26.9, 26.8, 26.7, 
## 26.8, 26.7, 26.6, 26.6, 26.7, 26.9, 26.9, 26.9, 26.8, 26.7, 26.5, 
## 26.4, 26.4, 26.6, 26.6, 26.6, 26.4, 26.4, 26.2, 26, 26.1, 26.2, 
## 26.6, 27.3, 27.7, 27.7, 27.6, 27.5, 27.4, 27.3, 27.1, 27, 26.4, 
## 27.6, 27.4, 26.3, 26.1, 26.1, 26.1, 26.2, 26.2, 26.3, 26.2, 26.1, 
## 26.1, 26.1, 26.5, 27, 27.1, 26.8, 26.7, 26.6, 26.4, 26, 26.5, 
## 26.8, 26.7, 26.7, 26.6, 26.5, 26.4, 26.5, 26.5, 26.7, 26.6, 26.5, 
## 26.4, 26.2, 26, 26.5, 26.5, 25.9, 25.6, 25.3, 25.2, 25.4, 25.6, 
## 25.7, 25.8, 26, 25.7, 25.4, 25.2, 25.1, 25.2, 26.2, 26.5, 27.2, 
## 27.1, 26.8, 26.5, 26.4, 26.1, 25.8, 25.5, 25.6, 25.9, 26.1, 26.2, 
## 26.1, 25.7, 25.7, 25.8, 25.8, 25.9, 26, 26, 25.9, 25.7, 25.3, 
## 26.4, 27, 27.4, 27.5, 27.7, 27.8, 27.7, 27.5, 26.8, 26.4, 25.3, 
## 26.2, 25.4, 27.9, 27.2, 26.8, 26.3, 26, 25.9, 25.9, 25.9, 26.3, 
## 26.8, 27.3, 27.3, 27.2, 27.1, 27, 26.3, 26.2, 26.2, 26.2, 26.2, 
## 26.3, 26.2, 26.2, 26.2, 26.1, 26, 25.9, 25.9, 25.8, 25.9, 26.7, 
## 26.9, 27.1, 25.9, 25.7, 25.2, 25.1, 24.8, 24.7, 24.9, 25.1, 25.7, 
## 25.7, 25.8, 25.8, 25.8, 25.8, 25.9, 25.9, 25.8, 25.7, 25.5, 25.2, 
## 25.1, 7.45, 2.44, 3.39, 3.65, 4, 4.03, 3.69, 1.61, 1.57, 1.65, 
## 1.72, 2.33, 2.63, 2.76, 2.87, 2.92, 2.89, 2.86, 2.73, 2.64, 2.56, 
## 2.47, 2.33, 2.19, 2.13, 1.87, 2.12, 2.62, 2.78, 3.05, 3.14, 3.13, 
## 3.21, 3.31, 3.37, 3.46, 3.51, 3.52, 3.52, 3.52, 3.57, 3.56, 3.46, 
## 3.42, 3.45, 3.94, 4.22, 4.77, 4.75, 4.68, 4.62, 4.55, 4.45, 4.15, 
## 4.01, 4.01, 4.11, 4.09, 4.06, 3.92, 3.89, 3.85, 3.8, 3.63, 3.51, 
## 3.43, 3.43, 3.48, 3.68, 3.68, 3.48, 3.37, 3.34, 3.31, 3.36, 3.3, 
## 3.2, 3.11, 2.85, 2.77, 2.71, 2.46, 2.45, 2.4, 2.41, 2.42, 2.46, 
## 2.91, 2.47, 1.9, 1.84, 1.76, 1.72, 1.73, 1.76, 1.77, 1.66, 1.56, 
## 2.1, 2.47, 2.73, 2.78, 2.87, 3.06, 3.12, 3.15, 3.21, 2.99, 2.65, 
## 2.6, 2.6, 2.73, 2.77, 2.89, 2.96, 3.39, 3.16, 2.89, 3.26, 3.53, 
## 3.82, 4.07, 4.07, 3.96, 3.54, 3.65, 3.69, 3.7, 3.7, 3.59, 3.51, 
## 2.93, 2.85, 2.7, 2.65, 2.51, 3.49, 3.39, 2.74, 2.56, 2.39, 2.36, 
## 2.36, 2.51, 2.52, 2.48, 2.44, 2.38, 2.3, 2.29, 2.43, 3.27, 3.07, 
## 2.85, 2.8, 2.92, 3.13, 3.13, 3.12, 3.12, 3.11, 3.04, 2.89, 2.65, 
## 2.42, 1.79, 1.61, 1.43, 1.35, 1.09, 0.98, 0.47, 1.03, 1.18, 1.41, 
## 1.53, 1.73, 1.98, 2.26, 2.94, 3.01, 2.84, 1.94, 1.91, 2.13, 2.68, 
## 2.82, 2.92, 3.09, 4.39, 4.39, 4.08, 3.53, 3.08, 2.92, 2.93, 3.27, 
## 3.55, 3.61, 3.65, 3.28, 3.13, 2.84, 2.51, 2.35, 2.25, 2.16, 2.05, 
## 1.38, 1.23, 0.99, 1.64, 3.25, 3.08, 3.03, 2.73, 2.81, 2.87, 3, 
## 3.08, 3.1, 3.13, 3.65, 4.4, 4.34, 4.26, 4.03, 4.08, 4.42, 4.68, 
## 5.01, 5.28, 3.92, 3.51, 1.74, 1.93, 2.02, 2.24, 2.35, 2.43, 2.55, 
## 2.6, 2.53, 2.38, 2.32, 2.23, 2.31, 2.64, 2.88, 2.8, 2.86, 2.94, 
## 3.34, 3.45, 3.52, 3.42, 2.86, 1.41, 0.56, 0.53, 0.62, 0.75, 1.48, 
## 1.78, 2.09, 2.31, 2.95, 3.07, 3.24, 3.15, 2.71, 2.41, 2.08, 2.07, 
## 2.13, 2.17, 2.27, 2.31, 2.31, 7.41, 7.24, 7.44, 7.44, 7.24, 7.14, 
## 6.85, 6.53, 6.24, 5.75, 5.5, 4.49, 4.47, 4.46, 4.47, 4.61, 4.64, 
## 4.67, 4.78, 4.84, 4.89, 4.94, 5.12, 5.6, 5.72, 5.96, 6.05, 6.3, 
## 6.51, 6.56, 6.61, 6.49, 6.17, 7.45, 7.6, 7.96, 8.1, 8.1, 7.91, 
## 7.63, 7.5, 7.39, 6.9, 6.54, 6.07, 5.83, 5.73, 5.36, 5.36, 5.38, 
## 5.54, 5.62, 6.1, 6.07, 5.88, 6.59, 6.76, 6.57, 6.37, 6.27, 6.18, 
## 6.2, 6.23, 6.26, 6.4, 6.5, 6.81, 6.9, 6.91, 6.89, 6.71, 6.56, 
## 6.54, 6.57, 6.38, 6.47, 6.58, 6.73, 7.11, 7.54, 7.4, 6.9, 6.67, 
## 6.6, 6.58, 6.7, 6.75, 6.78, 6.83, 6.96, 7.02, 7.15, 7.13, 7.04, 
## 7, 6.97, 6.68, 5.88, 5.82, 5.72, 5.71, 5.83, 6.87, 6.86, 6.77, 
## 6.81, 6.91, 6.98, 7.02, 7.1, 7.12, 7.09, 6.99, 6.89, 6.94, 6.97, 
## 7.1, 7.09, 7.08, 7.02, 6.91, 6.59, 6.53, 6.45, 5.85, 6.11, 6.16, 
## 6.28, 6.31, 6.51, 6.68, 6.73, 6.76, 6.75, 6.76, 6.83, 6.93, 6.5, 
## 6.36, 6.34, 6.25, 6.23, 6.23, 6.17, 6.12, 5.75, 5.68, 6.01, 6.23, 
## 6.31, 6.25, 6.12, 6.01, 5.89, 5.92, 5.99, 6.47, 6.88, 7.13, 7.21, 
## 7.24, 5.33, 5.42, 5.52, 5.75, 6.03, 5.96, 6, 6.03, 6.12, 6.27, 
## 6.28, 6.32, 6.5, 6.86, 7.24, 8.15, 8.2, 8.18, 8.16, 7.11, 6.9, 
## 6.65, 6.34, 6.37, 6.41, 6.26, 6.36, 6.56, 6.96, 7.09, 7.25, 7.38, 
## 7.46, 7.38, 5.61, 5.55, 5.5, 5.31, 5.32, 5.4, 5.44, 5.53, 6.13, 
## 6.17, 6.8, 6.93, 6.87, 6.73, 6.74, 6.79, 7.14, 7.17, 7.15, 7.03, 
## 7.11, 7.25, 6.64, 6.88, 6.78, 6.69, 6.91, 7.13, 7.3, 7.85, 7.95, 
## 8.18, 8.22, 8.26, 8.18, 7.76, 7.64, 7.52, 6.89, 6.34, 6.24, 6.18, 
## 5.99, 6.11, 6.14, 6.13, 6.15, 6.25, 6.24, 6.17, 6.14, 5.83, 5.73, 
## 5.66, 5.61, 5.41, 5.51, 5.72, 6.02, 6.02, 5.9, 5.81, 5.74, 5.59, 
## 5.31, 5.27, 5.32, 5.37, 5.49, 5.33, 5.09, 4.6, 4.42, 2.99, 2.29, 
## 2.22, 2.21, 2.09, 2.03, 2.02, 2.37, 2.71, 3.05, 3.14, 4.28, 5.12, 
## 5.05, 4.75, 4.36, 3.9, 2.98, 2.8, 2.62, 2.28, 2.24, 2.2, 2.28, 
## 2.52, 2.87, 3, 3.17, 4.03, 4.23, 4.46, 5.18, 2.89, 2.09, 1.88, 
## 1.81, 2.19, 4.4, 5.32, 5.87, 6.03, 5.97, 5.81, 3.94, 3.75, 3.59, 
## 3.23, 3.74, 4.01, 4.5, 4.71, 5.28, 5.35, 5.24, 3.71, 3.63, 4.8, 
## 4.92, 5.55, 5.85, 5.97, 5.78, 5.34, 5.22, 5.17, 5.09, 3.81, 1.46, 
## 1.38, 2.55, 3.8, 6, 6.21, 6.5, 6.64, 6.67, 6.65, 6.59, 6.53, 
## 6.52, 6.04, 5.86, 5.65, 4.84, 5.27, 5.53, 5.61, 5.48, 5.35, 4.26, 
## 3.39, 3.18, 3.02, 2.74, 2.63, 2.97, 4.36, 4.87, 5.4, 6.23, 6.32, 
## 6.36, 5.09, 4.94, 4.37, 4.12, 3.61, 3.75, 3.86, 4.5, 4.82, 4.29, 
## 3.15, 2.77, 2.62, 2.47, 2.35, 1.8, 2.04, 3.6, 4.18, 4.36, 4.5, 
## 4.94, 3.64, 3.33, 3.05, 2.78, 0.73, 2.73, 3.73, 4.3, 4.61, 5.56, 
## 5.46, 3.66, 3.75, 3.78, 3.78, 3.85, 4.03, 4.39, 5.58, 6.01, 5.79, 
## 5.56, 4.76, 3.43, 2.78, 4.46, 5.22, 5.24, 4.84, 4.43, 3.98, 3.67, 
## 3.46, 3.38, 3.18, 2.94, 2.95, 3.1, 3.07, 3.34, 3.57, 3.61, 3.59, 
## 2.65, 2.28, 1.95, 1.39, 1.4, 1.81, 2.01, 2.63, 3.5, 3.71, 4.56, 
## 4.78, 4.95, 5.38, 5.62, 6.81, 6.8, 6.16, 4.41, 4.29, 4.35, 4.76, 
## 5.22, 5.39, 5.32, 3.78, 3.37, 2.7, 0.55, 0.44, 0.29, 0.38, 1.09, 
## 2.75, 3.06, 3.38, 3.98, 5, 4.86, 4.69, 4.42, 4.38, 4.39, 4.48, 
## 4.64, 5.18, 5.27, 5.28, 5.21, 5.14, 5.13, 5.18, 5.21, 7.46, 7.19, 
## -43.9, -44, -44.3, -44.4, -44.5, -44.7, -44.7, -44, -43.9, -43.7, 
## -43.6, -43.6, -43.3, -43.4, -43.4, -43.4, -43.3, -43.3, -43.2, 
## -43.2, -43.3, -43.4, -43.3, -43.3, -43.5, -43.5, -43.5, -43.5, 
## -43.5, -43.5, -43.5, -43.5, -43, -43, -42.8, -42.8, -42.8, -42.8, 
## -42.9, -42.9, -42.9, -42.9, -43, -43, -43, -43, -43.1, -43.1, 
## -43.1, -43.1, -43.1, -43.1, -43.1, -43.1, -43.2, -43.3, -43.3, 
## -43.1, -43.1, -43.1, -43.2, -43.3, -43.3, -43.2, -43.2, -43.3, 
## -43.4, -43.6, -43.6, -43.8, -43.4, -43.2, -43.2, -43.3, -43.4, 
## -43.4, -43.4, -43.4, -43.5, -43.5, -43.5, -43.5, -43.4, -43.4, 
## -43.4, -43.4, -43.4, -43.4, -43.3, -43.2, -43.2, -43.2, -43.5, 
## -43.5, -43.5, -43.5, -43.8, -43.8, -44, -44, -43.7, -43.5, -43.5, 
## -43.4, -43.3, -43.3, -43.3, -43.3, -43.3, -43.4, -43.7, -43.6, 
## -43.6, -43.8, -43.7, -43.6, -43.6, -43.6, -43.7, -43.7, -43.7, 
## -43.7, -43.7, -43.8, -43.9, -43.9, -43.9, -43.7, -43.6, -43.5, 
## -43.5, -43.3, -43.3, -43.3, -43.3, -43.4, -43.4, -43.5, -43.5, 
## -43.7, -43.7, -43.7, -43.6, -43.5, -43.5, -43.5, -43.5, -43.3, 
## -43.4, -43.4, -43.4, -43.3, -43.3, -43.3, -43.2, -43.3, -43.3, 
## -43.3, -43.4, -43.3, -43.4, -43.5, -43.5, -43.6, -43.5, -43.7, 
## -43.7, -43.7, -43.8, -43.8, -43.8, -43.8, -43.7, -43.8, -43.8, 
## -43.9, -43.8, -43.8, -43.8, -43.8, -43.7, -43.7, -43.7, -43.8, 
## -43.4, -43.2, -43.2, -43.2, -43.2, -43.4, -43.4, -43.4, -43.4, 
## -43.5, -43.5, -43.7, -43.7, -43.7, -43.7, -43.8, -43.9, -44, 
## -44, -44.2, -44.3, -44.3, -44.3, -44.3, -44.3, -44.3, -44.3, 
## -44.4, -44.4, -44.5, -44.7, -44.7, -44.7, -44.6, -44.6, -44.5, 
## -44.5, -44.4, -44.4, -44.4, -44.3, -44.7, -44.7, -44.6, -44.5, 
## -44.5, -44.1, -43.8, -43.6, -43.5, -43.5, -43.5, -43.6, -43.6, 
## -43.8, -43.9, -44, -44, -44, -44.1, -44.3, -44.4, -44.4, -44.6, 
## -44.4, -44.3, -44.3, -44.8, -44.9, -45.5, -46.2, -46.5, -47.3, 
## -47.7, -48.3, -48.6, -49.1, -50.4, -50.6, -50.7, -50.9, -51.3, 
## -51.4, -51.5, -51.6, -51.7, -51.8, -51.9, -51.9, -52, -52, -52.1, 
## -51.9, -51.8, -51.6, -51.3, -49.9, -48.9, -48.6, -48.2, -47.8, 
## -47.5, -47.3, -46, -45.6, -45.1, -42.2, -41.5, -41.5, -41.4, 
## -41.4, -41.3, -41.4, -41.5, -42.3, -42.7, -42.8, -43.1, -43.4, 
## -43.9, -44.6, -44.7, -44.8, -44.6, -44.5, -43.7, -43.8, -43.8, 
## -43.9, -43.9, -44, -44.1, -44, -44, -43.9, -43.6, -43.5, -43.5, 
## -43.6, -43.7, -43.6, -43.3, -43.4, -43.4, -43.5, -43.5, -43.4, 
## -43.4, -43.4, -43.6, -43.7, -43.7, -43.6, -43.6, -43.5, -43.5, 
## -43.4, -43.4, -43.4, -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, 
## -43.4, -43.4, -43.3, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, 
## -43.5, -43.5, -43.6, -43.6, -43.7, -43.7, -43.7, -43.7, -43.7, 
## -43.8, -43.7, -43.7, -43.7, -43.6, -43.6, -43.7, -43.7, -43.7, 
## -43.7, -43.6, -43.3, -42.8, -42.8, -42.8, -42.6, -42.6, -42.6, 
## -42.6, -42.9, -43, -44, -44, -44, -44.4, -44.5, -44.5, -44.3, 
## -44.2, -43.8, -43.5, -43, -42.7, -42.7, -42.6, -42.6, -42.7, 
## -42.9, 16.7, 16.7, 16.5, 16.4, 16.4, 16.4, 16.3, 16.3, 16.4, 
## 16.4, 16.5, 16.7, 16.9, 17.7, 17.7, 17.9, 18, 19, 19, 18.9, 18.8, 
## 18.5, 18.2, 18.3, 18.5, 18.5, 18.3, 18.3, 18.2, 18, 18, 17.9, 
## 17.9, 17.7, 17.6, 17.5, 17.3, 17.3, 17.2, 17.1, 17.1, 17.3, 17.4, 
## 17.5, 17.6, 17.9, 18.2, 18.4, 18.4, 18.5, 18.7, 18.9, 18.9, 19, 
## 19.1, 19.1, 19, 18.9, 18.8, 18.8, 18.8, 18.8, 18.8, 18.7, 18.6, 
## 18.5, 18.5, 18.5, 18.3, 18.1, 18.1, 18, 18.2, 18.1, 18, 17.9, 
## 17.7, 17.5, 17.4, 17.1, 17.1, 17.1, 17.1, 17.1, 17.2, 17.5, 17.6, 
## 17.8, 18.1, 18, 18.1, 18.1, 18.2, 18.2, 18.3, 18.3, 18.2, 18.2, 
## 18.1, 18.1, 18, 18.1, 18, 17.8, 17.7, 17.7, 17.6, 17.5, 17.5, 
## 17.5, 17.5, 17.5, 17.4, 17.5, 17.5, 17.5, 16.6, 17, 17.1, 17.3, 
## 17.6, 17.9, 18.2, 18.2, 18.3, 18.4, 18.4, 18.4, 18.4, 18.3, 18.1, 
## 18, 18, 18, 17.9, 17.8, 17, 17.1, 17.2, 17.2, 17.2, 16.9, 16.6, 
## 16.6, 16.5, 16.4, 16.3, 16.3, 16.4, 16.6, 16.6, 16.7, 16.8, 16.8, 
## 16.9, 17, 17, 17.1, 17.2, 17.2, 17.2, 17.2, 17.2, 17.2, 17.2, 
## 17.1, 17.1, 17.1, 17.2, 17, 16.9, 17.1, 17.2, 17.2, 17.2, 17.2, 
## 17.1, 17.1, 17, 17, 16.8, 16.8, 16.7, 16.6, 16.6, 16.4, 16.3, 
## 16.2, 16.3, 16.5, 16.5, 16.7, 17, 17, 17, 17, 16.9, 16.9, 16.9, 
## 16.9, 17.1, 17.2, 17.2, 17.2, 17.1, 16.9, 16.8, 16.9, 16.9, 16.9, 
## 16.9, 16.8, 16.7, 16.7, 16.6, 16.5, 16.5, 16.5, 16.6, 16.6, 17, 
## 17, 17.1, 17.1, 17.1, 17, 17, 17, 17, 16.8, 16.6, 16.4, 16, 16, 
## 16, 16.4, 16.5, 16.8, 17, 17.1, 17.1, 17.1, 17.1, 15.9, 15.8, 
## 15.7, 15.5, 15.4, 15.5, 15.6, 15.7, 15.8, 15.8, 15.9, 16, 16.1, 
## 16.2, 16.3, 16.3, 16.3, 16.4, 16.2, 16.1, 15.9, 15.4, 15.3, 15.2, 
## 15, 15.3, 15.5, 15.7, 16.1, 16.1, 16.1, 16.2, 16.2, 16.2, 16.2, 
## 16.2, 16.2, 16.3, 16.3, 16.3, 16.4, 16.4, 16.5, 16.5, 16.5, 16.5, 
## 16.4, 16.4, 16.5, 16.8, 16.8, 16.6, 16.4, 15.9, 15.6, 15.6, 15.6, 
## 15.6, 15.6, 15.5, 15.3, 15.2, 15.2, 15.3, 15.4, 15.7, 16, 16.1, 
## 16.2, 16.2, 16.2, 16.1, 16.1, 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 
## 15.9, 15.9, 15.8, 15.7, 15.5, 15.3, 15.2, 15.2, 15.3, 15.5, 15.5, 
## 15.5, 15.5, 15.5, 15.5, 15.2, 14.8, 14.2, 14.2, 14.3, 14.5, 14.9, 
## 14.9, 15.2, 15.7, 15.8, 16.4, 16.3, 16.3, 16.2, 16.1, 16.1, 16.1, 
## 16.2, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.2, 16.2, 16.2, 16.1, 
## 15.9, 15.9, 15.8, 15.8, 15.8, 16, 16, 16, 15.8, 15.9, 15.8, 15.8, 
## 15.6, 15.6, 15.6, 15.5, 15.5, 15.4, 15.3, 15.2, 15.1, 15.1, 15, 
## 14.9, -44.5, -44.5, -44.4, -43, -43, -43.1, -43.1, -43.1, -43.1, 
## -43.1, -43, -42.9, -42.8, -42.7, -42.7, -42.7, -42.8, -43, -43.1, 
## -43.1, -43.2, -43.3, -43.6, -43.7, -43.8, -43.9, -44, -44, -44, 
## -44, -44, -43.9, -43.9, -43.9, -43.8, -43.8, -43.5, -43.5, -43.4, 
## -43.4, -43.4, -43.4, -43.4, -43.5, -43.5, -43.6, -43.6, -43.9, 
## -43.9, -43.8, -43.8, -43.7, -43.8, -43.7, -43.6, -43.7, -43.7, 
## -43.7, -43.8, -43.8, -43.8, -43.8, -43.7, -43.7, -43.8, -43.9, 
## -43.9, -44.1, -43.9, -43.9, -43.9, -43.9, 16.3, 16.1, 15.9, 15.9, 
## 15.9, 16.1, 16.2, 16.5, 16.7, 16.7, 16.7, 16.8, 17.1, 17.1, 17.1, 
## 17, 17, 17, 17, 16.9, 16.6, 16.6, 16.6, 16.5, 16.5, 16.4, 16.3, 
## 16.2, 17.3, 17.2, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 
## 17, 17.5, 17.5, 17.5, 17.6, 17.6, 17.6, 17.2, 17.1, 16.6, 16.5, 
## 16.5, 16.5, 16.5, 16.5, 16.5, 18, 18, 18.1, 18.2, 18.7, 18.8, 
## 18.9, 19, 19.1, 19.2, 19.1, 19.1, 5.52, 5.56, 5.44, 5.36, 5.32, 
## 5.2, 5.22, 5.24, 6.73, 6.92, 7.43, 3.97, 3.45, 3.01, 2.63, 2.57, 
## 2.62, 3.13, 3.56, 4.02, 5.28, 5.38, 5.49, 6.19, 6.08, 5.19, 3.91, 
## 3.9, 3.93, 3.99, 4.53, 5.48, 7.62, 7.87, 8.63, 8.48, 7.06, 6.14, 
## 5.63, 4.83, 4.51, 3.07, 3.43, 3.56, 4.19, 4.39, 4.72, 4.98, 4.69, 
## 4.19, 3.91, 3.61, 2.5, 2.3, 1.94, 1.67, 5.82, 6.16, 6.26, 6.07, 
## 5.84, 5.66, 5.43, 5.17, 4.65, 4.41, 4.17, 3.7, 4.34, 4.39, 4.52, 
## 5.11, 5.19, 5.33, 4.72, 4.24, 3.58, 2.7, 2.93, 3.01, 3.13, 2.89, 
## 2.61, 2.4, 2.52, 2.59, 2.73, 2.93, 3.06, 3.18, 3.26, 3.24, 3.21, 
## 3.18, 3.08, 2.81, 2.74, 2.65, 2.18, 2.8, 2.87, 3.11, 3.16, 3.22, 
## 3.28, 3.18, 2.34, 1.82, 1.66, 1.58, 1.57, 2.25, 1.71, 1.64, 1.54, 
## 1.56, 2.11, 2.45, 2.47, 2.54, 2.88, 3.48, 2.71, 2.91, 3.13, 3.27, 
## 3.25, 3.28, 3.38, 3.59, 3.62, 3.3, 3.07, 2.95, 2.92, 2.93, 3.03, 
## 3.42, 3.54, 3.92, 3.96, 4.05, 4.02, 3.86, 3.54, 3.14, 3.08, 3.01, 
## 2.87, 2.7, 2.52, 3.58, 3.85, 3.9, 4, 4.03, 4.08, 4.12, 4.18, 
## 4.26, 4.51, 4.5, 4.49, 4.34, 4.07, 3.95, 26, 26.2, 26.3, 26.4, 
## 26.4, 26.4, 26.2, 26.3, 26.4, 26.6, 26.9, 27.3, 26.3, 26.5, 26.6, 
## 27.6, 27.7, 27.8, 28, 27.7, 27.6, 27.3, 26.5, 26.7, 26.7, 26.9, 
## 26.9, 27.1, 26.9, 26.7, 26.6, 4.73, 4.77, 3.17, 3.27, 3.97, 4.06, 
## 4.34, 4.46, 4.46, 4.51, 4.57, 4.58, 4.63, 7.62, 7.96, 8.55, 8.62, 
## 8.66, 8.72, 8.71, 8.65, 8.34, 7.83, 7.58, 7.47, 7.32, 7.24, 7.25, 
## 7.23, 7.16, 7.13, 5.8, 5.68, 5.76, 5.82, 5.95, 6.01, 6.01, 5.99, 
## 6.3, 5.96, 5.85, 5.66, 5.67, 6.95, 6.94, 6.93, 6.89, 6.83, 6.59, 
## 6.62, 6.78, 6.79, 6.75, 6.57, 6.39, 5.98, 5.89, 5.57, 5.31, 5.23, 
## 5.05, 5.26, 5.45, 5.53, 5.49, 5.38, 5.89, 6.04, 6.36, 6.35, 6.34, 
## 6.37, 6.38, 6.41, 6.45, 6.49, 6.27, 5.76, 5.53, 5.43, 5.79, 5.77, 
## 6, 6.27, 6.64, 6.72, 6.77, 6.8, 6.72, 6.58, 6.49, 6.07, 5.72, 
## 5.61, 5.64, 5.7, 5.75, 5.9, 6.21, 5.85, 5.91, 6.06, 6.01, 5.96, 
## 5.96, 6.03, 6.07, 6.22, 7.4, 7.56, 7.63, 7.64, 7.64, 7.63, 7.6, 
## 7.43, 7.27, 7.17, 6.18, 6.07, 5.91, 5.9, 5.91, 5.87, 5.83, 5.8, 
## 6.02, 6.42, 6.47, 6.48, 6.38, 24.7, 25.1, 25.2, 25.2, 25.3, 25.4, 
## 25.6, 25.7, 25.7, 25.8, 25.8, 25.8, 25.9, 26, 26.1, 26.2, 26.2, 
## 26.2, 26.2, 26.1, 26, 26, 26.1, 26.1, 25.8, 25.8, 25.8, 25.9, 
## 25.8, 25.7, 25.6, 25.5, 25.5, 25.6, 25.4, 25.3, 25.3, 25.3, 25.1, 
## 25.1, 25.6, 25.9, 25.9, 25.9, 25.9, 25.8, 25.8, 25.8, 25.7, 25.7, 
## 25.7, 25.8, 25.9, 25.9, 25.8, 25.8, 25.8, 25.8, 25.9, 25.8, 25.8, 
## 25.8, 25.7, 25.7, 25.8, 25.8, 25.6, 25.5, 25.6, 25.3, 25.2, 25.1, 
## 25.2, 25.4, 25.5, 25, 25, 25.1, 25.1, 25.1, 25.1, 25.2, 25.2, 
## 25.2, 25.2, 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 
## 25.3, 25.7, 25.8, 25.5, 25.5, 25.6, 25.7, 25.8, 25.9, 25.9, 26, 
## 26, 26.1, 26, 26, 26, 26.1, 26.1, 25.9, 25.8, 25.9, 25.9, 25.9, 
## 26, 26, 26, 25.9, 25.9, 25.7, 25.7, 25.8, 25.7, 25.7, 25.6, 25.5, 
## 25.4, 25.8, 25.8, 25.8, 25.8, 25.3, 25.3, 25.7, 25.8, 25.8, 25.8, 
## 25.9, 25.8, 25.8, 25.8, 25.6, 25.6, 25.6, 25.7, 25.6, 25.6, 25.6, 
## 25.5, 24.9, 24.9, 24.7, 24.5, 24.4, 24.4, 24.3, 24.4, 24.4, 24.5, 
## 24.5, 24.8, 24.9, 25.1, 25, 25, 25, 25, 25, 25, 25, 24.9, 25, 
## 25.2, 25.2, 25.2, 25.1, 24.6, 24.5, 24.4, 24.5, 24.8, 24.7, 24.7, 
## 24.7, 24.7, 24.6, 24.4, 24.4, 24.5, 24.6, 24.8, 25.1, 25.3, 25.2, 
## 25.3, 25.2, 25.2, 25.1, 25.1, 25.2, 25.2, 25.1, 25, 24.9, 24.8, 
## 24.8, 25, 25, 25, 24.9, 24.9, 24.9, 24.8, 24.7, 24.7, 24.7, 24.8, 
## 25.1, 25.2, 25.4, 25.4, 25.5, 25.5, 25.4, 25.4, 25.4, 25.3, 25.3, 
## 25.3, 25.2, 25.1, 25.2, 25.2, 25.2, 4.29, 4.56, 4.56, 4.16, 3.48, 
## 3.35, 3.26, 2.97, 2.95, 2.91, 2.84, 2.79, 2.75, 2.68, 2.66, 2.88, 
## 2.96, 3, 3.1, 3.16, 3.34, 3.58, 3.63, 3.54, 3.63, 3.82, 3.5, 
## 3.37, 2.92, 2.82, 2.69, 2.13, 2.06, 2.06, 2.09, 2.3, 1.75, 1.83, 
## 1.9, 2.03, 2.15, 2.18, 2.19, 2.2, 2.78, 2.93, 2.8, 2.78, 2.94, 
## 3.34, 3.37, 3.44, 3.23, 3.18, 2.99, 2.93, 2.79, 2.71, 2.55, 2.5, 
## 2.74, 2.98, 3.05, 3.04, 3.04, 3.03, 2.77, 2.21, 2.16, 2.11, 2.02, 
## 1.91, 1.87, 2.01, 2.08, 2.4, 2.5, 2.56, 2.64, 2.51, 2.5, 2.73, 
## 2.81, 3.22, 3.2, 3.05, 2.93, 2.47, 2.16, 2, 1.77, 1.71, 1.71, 
## 1.8, 1.81, 2.08, 2.07, 1.72, 1.45, 4.45, 4.09, 3.66, 2.92, 2.35, 
## 2.53, 2.54, 2.25, 2.31, 2.43, 2.53, 2.74, 2.79, 2.83, 2.81, 2.7, 
## 2.66, 2.62, 2.57, 2.52, 1.94, 2.04, 2.03, 1.78, 1.16, 1.31, 1.46, 
## 1.53, 1.65, 1.74, 2.7, 2.85, 3.11, 3.63, 3.75, 3.76, 3.57, 3.43, 
## 2.98, 1.79, 1.58, 2.03, 2.02, 1.66, 1.51, 1.34, 1.27, 1.15, 1.13, 
## 1.17, 1.22, 1.32, 1.54, 1.69, 1.93, 2.46, 2.63, 2.61, 2.63, 2.67, 
## 2.74, 3.03, 3.08, 3.1, 2.99, 2.53, 2.25, 1.59, 1.51, 1.6, 1.66, 
## 1.68, 1.71, 1.98, 2.08, 2.09, 2.11, 1.99, 1.91, 1.74, 1.65, 1.56, 
## 1.46, 1.28, 1.2, 1.05, 1.04, 1.1, 1.13, 2.28, 3.6, 3.87, 3.63, 
## 2.3, 2.14, 2.02, 1.98, 2.16, 2.24, 2.29, 2.35, 2.34, 2.36, 2.39, 
## 2.42, 2.4, 2.69, 2.69, 2.69, 2.68, 2.64, 2.69, 2.71, 2.85, 2.86, 
## 2.73, 2.12, 2.03, 1.87, 1.93, 1.99, 2.05, 2.16, 2.48, 2.69, 2.63, 
## 2.57, 2.07, 1.99, 1.94, 1.95, 2.08, 2.22, 2.29, 2.35, 2.38, 2.28, 
## 2.33, 2.53, 2.66, 2.7, 2.74, 2.75, 4.8, 4.94, 5, 5.06, 5.12, 
## 5.27, 5.44, 5.47, 5.5, 5.36, 5.31, 5.26, 5.2, 5.19, 5.11, 4.95, 
## 4.96, 5.06, 5.66, 5.75, 5.79, 5.58, 5.08, 5.01, 4.77, 4.72, 4.61, 
## 4.59, 4.58, 4.54, 4.54, 4.6, 4.6, 4.55, 4.55, 4.63, 5.04, 5.57, 
## 5.9, 6.18, 6.23, 6.25, 6.42, 6.46, 6.52, 6.6, 6.66, 6.62, 6.68, 
## 6.68, 6.71, 6.66, 6.64, 6.43, 5.6, 5.45, 5.32, 5.07, 4.65, 4.71, 
## 5.23, 5.36, 5.56, 5.64, 5.82, 6.04, 6.42, 6.55, 7.45, 7.54, 7.52, 
## 7.47, 5.75, 5.76, 5.78, 6.08, 6.23, 6.39, 6.46, 6.52, 6.57, 6.57, 
## 6.55, 6.53, 6.62, 6.65, 6.69, 6.72, 6.74, 6.83, 6.85, 6.82, 6.83, 
## 6.58, 6.41, 6.24, 6.16, 5.62, 5.66, 5.7, 5.65, 5.54, 5.53, 5.49, 
## 5.49, 5.49, 5.48, 5.46, 5.52, 5.54, 5.63, 5.68, 5.73, 6.25, 6.26, 
## 6.27, 6.23, 6.39, 6.63, 6.7, 7.08, 7.09, 6.82, 6.61, 6.25, 6.13, 
## 5.98, 5.77, 5.42, 5.75, 6.06, 6.28, 6.71, 7.11, 7.46, 7.43, 6.85, 
## 6.53, 6.19, 6.14, 6.03, 6.12, 6.16, 6.18, 6.04, 5.85, 5.38, 4.89, 
## 4.87, 4.8, 5.01, 5.1, 5.18, 5.86, 5.86, 5.88, 6.05, 6.19, 6.23, 
## 6.27, 6.43, 6.55, 6.61, 6.69, 6.82, 6.82, 6.82, 6.79, 6.62, 6.65, 
## 6.67, 6.69, 6.67, 6.65, 6.45, 6.38, 6.17, 6.2, 6.22, 6.16, 6.09, 
## 6.02, 5.85, 5.48, 5.71, 6.16, 6.25, 6.46, 6.86, 6.85, 6.88, 6.88, 
## 6.86, 6.84, 6.76, 6.56, 6.16, 6, 5.94, 5.93, 5.93, 5.94, 6.02, 
## 6.08, 6.3, 6.57, 6.58, 6.48, 6.55, 8.41, 8.33, 8.17, 8.13, 7.82, 
## 7.63, 7.62, 7.23, 7.05, 6.57, 6.33, 5.97, 6.04, 6.34, 6.43, 6.62, 
## 6.73, 6.21, 5.97, 5.85, 6.12, 6.38, 6.49, 6.86, 6.96, 7.09, 6.99, 
## 6.84, 5.9, 5.79, 5.5, 5.34, 5.37, 5.45, 6.28, 6.5, 6.64, 6.72, 
## 6.76, 6.75, 6.75, 6.76, 6.76, 6.75, 6.8, 6.86, 7.1, 7.07, 7.06, 
## 7.04, 7.11, 7.17, 7.36, 7.68, 7.42, 5.97, 5.87, 5.68, 5.41, 5.31, 
## 5.25, 5.13, 4.9, 4.06, 3.73, 3.11, 3.08, 3.28, 3.29, 3.3, 3.39, 
## 3.41, 3.55, 3.6, 3.67, 3.84, 3.88, 4.29, 4.6, 4.69, 4.83, 4.64, 
## 4.46, 4.28, 3.97, 3.78, 3.71, 3.66, 3.65, 3.74, 3.85, 3.86, 3.9, 
## 4.1, 4.18, 4.2, 4.21, 4.05, 3.98, 3.93, 3.91, 3.95, 3.94, 4, 
## 4.11, 4.6, 4.59, 4.6, 4.63, 4.87, 4.47, 3.82, 3.98, 4, 4.3, 4.39, 
## 4.75, 4.81, 4.89, 4.94, 4.91, 4.77, 4.78, 4.84, 4.87, 4.91, 5.05, 
## 5.37, 5.47, 5.57, 5.64, 5.7, 5.7, 5.67, 5.61, 5.57, 5.56, 4.94, 
## 4.89, 4.84, 4.71, 4.62, 4.64, 4.8, 4.99, 5.21, 5.22, 6.2, 5.84, 
## 5.33, 4.99, 4.69, 4.76, 4.78, 5.13, 5.18, 5.27, 5.3, 5.21, 4.16, 
## 3.92, 3.87, 3.93, 3.94, 4.25, 4.32, 4.63, 5.14, 4.7, 4.14, 3.84, 
## 3.74, 3.69, 3.68, 3.7, 4.3, 4.4, 4.59, 4.7, 4.86, 5.13, 5.28, 
## 5.27, 4.91, 4.78, 4.06, 3.9, 3.86, 3.82, 3.84, 3.85, 3.88, 4.05, 
## 4.42, 4.65, 5.05, 5.03, 4.95, 4.71, 4.34, 4, 4.18, 4.63, 4.69, 
## 4.8, 4.83, 4.87, 4.9, 4.93, 5.05, 5.13, 5.12, 4.83, 4.73, 4.69, 
## 4.66, 5.15, 5.68, 5.75, 6.05, 6.05, 5.96, 5.4, 5.28, 4.8, 4.51, 
## 4.33, 4.44, 4.65, 4.89, 4.82, 4.8, 4.12, 3.96, 3.79, 3.57, 4.45, 
## 4.59, 4.74, 5.03, 5.18, 5.72, 5.81, 4.61, 4.59, 4.62, 4.74, 4.8, 
## 4.9, 4.95, 4.86, 4.73, 4.65, 4.56, 4.44, 3.66, 3.61, 3.52, 4.06, 
## 4.11, 4.24, 4.49, 4.62, 4.79, 4.94, 5.18, 5.32, 5.29, 4.88, 4.12, 
## 4.02, 4.2, 4.29, 4.36, 4.43, 4.96, 5.11, 5.31, 5.36, 5.08, 4.93, 
## 4.8, 4.62, 5.08, 5.19, 5.45, 6.26, 6.57, 6.67, 6.49, 6.4, 6.21, 
## 6.03, 5.87, 5.71, 5.63, 5.43, 5.43, 5.42, 5.44, 5.43, 5.44, 5.41, 
## 5.37, 5.37, 5.35, 5.32, 5.3, 5.24, 5.22, 5.19, 5.19, 5.12, 5.11, 
## 5.12, 4.95, 4.89, 4.56, 3.96, 3.91, 4.17, 4.37, 4.43, 4.05, 3.51, 
## 3.38, 3.25, 2.91, 2.77, 2.69, 2.68, 2.68, 2.9, 3.6, 3.68, 3.87, 
## 4.06, 5.03, 5.17, 5.22, 3.82, 2.44, 2.94, 4.79, 3.32, 3.08, 2.08, 
## 1.56, 0.89, 0.74, 1.95, 2.18, 3.66, 3.9, 4.75, 4.39, 4.06, 3.93, 
## 3.8, 3.42, 3.49, 4.35, 4.5, 4.79, 4.7, 4.49, 4.06, 3.7, 3.44, 
## 3.56, 3.65, 4.07, 4.17, 4.16, 4.22, 4.24, 4.39, 4.43, 4.62, 4.66, 
## 4.7, 4.75, 4.79, 4.8, 4.89, 6.05, 6.27, 6.35, 6.58, 6.79, 7.26, 
## 7.34, 7.55, 7.95, 7.18, 6.89, 6.65, 6.34, 5.02, 5.04, 5.09, 5.12, 
## 5.15, 5, 4.5, 4.28, 4.24, 4.25, 4.27, 4.27, 4.27, 4.26, 4.25, 
## 4.24, 4.23, 4.02, 3.99, 3.99, 3.97, 3.93, -44, -43.8, -43.7, 
## -43.7, -43.7, -43.5, -43.4, -43.3, -43.1, -43, -42.9, -43, -43.1, 
## -43.2, -43.3, -43.3, -42.3, -42.3, -42.2, -42.1, -42.1, -42.2, 
## -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, 
## -42, -41.6, -41.6, -41.5, -41.4, -41.4, -41.4, -41.4, -41.4, 
## -41.3, -41.6, -41.6, -41.7, -41.8, -41.8, -41.8, -41.7, -41.7, 
## -41.6, -41.5, -41.5, -41.4, -41.5, -41.6, -41.6, -41.6, -41.6, 
## -41.6, -41.6, -41.6, -41.5, -41.5, -41.5, -41.5, -41.5, -41.4, 
## -41.3, -40.7, -40.8, -40.8, -40.9, -40.8, -40.7, -40.7, -40.7, 
## -40.7, -40.7, -40.8, -40.9, -41, -41.2, -41.2, -41, -41, -40.7, 
## -40.6, -40.6, -40.6, -41, -41, -40.9, -40.9, -40.9, -41, -41, 
## -41.1, -41.2, -41.3, -41.3, -41.2, -41.1, -40.9, -40.9, -40.4, 
## -40.4, -40.4, -40.5, -40.5, -40.5, -40.6, -40.8, -40.8, -40.8, 
## -40.8, -40.6, -40.5, -40.5, -40.5, -40.4, -40.5, -40.5, -40.5, 
## -40.5, -40.5, -40.5, -40.5, -40.5, -40.6, -40.6, -40.8, -40.9, 
## -41, -41, -41, -41, -41, -41.1, -41.1, -40.7, -40.7, -40.7, -40.7, 
## -40.6, -40.6, -40.7, -40.8, -40.8, -40.8, -40.8, -40.8, -40.8, 
## -40.8, -40.7, -40.7, -40.4, -40.3, -41.1, -41.2, -41.2, -41.2, 
## -41, -41, -41, -41, -41, -41.1, -41.2, -41.2, -41.2, -41.2, -41.2, 
## -41.2, -41.2, -41.2, -41.2, -41.1, -41, -41, -41, -41.1, -41.2, 
## -41.4, -41.4, -41.4, -41.5, -41.6, -41.5, -41.4, -41.4, -41.4, 
## -41.4, -41.4, -41.5, -41.5, -41.4, -41.3, -41.2, -41.1, -41.1, 
## -41.1, -41, -41.1, -41.1, -41.2, -41.3, -41.3, -41.3, -41.3, 
## -41.2, -41.2, -41.1, -41.3, -41.3, -41, -41, -41, -41, -40.9, 
## -40.9, -40.9, -40.9, -41.1, -41.2, -41.2, -41.1, -41.1, -41.2, 
## -41.3, -41.3, -41.3, -41.4, -41.5, -41.5, -41.5, -41.5, -41.5, 
## -41.5, -41.5, -41.6, -41.6, -41.6, -41.4, -41.4, -41.4, -41.4, 
## -41.5, -41.5, -41.5, -41.6, -41.6, -41.6, -41.5, -41.5, -41.5, 
## -41.9, -42, -42.1, -42.1, -42.1, -41.9, -41.8, -41.7, -41.5, 
## -41.4, -41.4, -41.3, -41.3, -41.3, -41.3, -41.3, -41.4, -41.4, 
## -41.4, -41.4, -41.4, -41.4, -41.4, -41.4, -41.4, -41.4, -41.5, 
## -41.5, -41.5, -41.5, -41.5, -41.5, -41.5, -41.5, -41.4, -41.4, 
## -42.6, -42.7, -43.1, -43.3, -43.5, -43.9, -43.9, -44, -43.7, 
## -43.5, -43.2, -43.1, -43.1, -43, -42.9, -42.8, -42.8, -42.8, 
## -42.8, -42.8, -42.9, -43, -43.1, -43.2, -43.2, -42.3, -42, -42.3, 
## -42.4, -42.6, -42.8, -42.8, -42.8, -42.8, -42.8, -42.7, -42.5, 
## -42.5, -42.5, -42.2, -42.1, -42.1, -42.1, -42, -42, -42.1, -42.2, 
## -42.2, -42.2, -42.2, -42.2, -42.2, -42.2, -42.1, -42.1, -42.1, 
## -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, 
## -42.1, -42, -41.9, -41.5, -41.5, -41.6, -41.6, -41.7, -41.7, 
## -41.7, -41.7, -41.7, -41.7, -41.7, -41.7, -41.7, -41.7, -41.7, 
## -40.4, -40.4, -40.4, -40.5, -40.6, -40.6, -40.7, -40.9, -41, 
## -41, -40.7, -40.7, -40.7, -40.8, -40.9, -40.8, -40.7, -40.6, 
## -40.6, -40.6, -40.7, -40.8, -40.9, -41, -42, -42, -41.9, -41.9, 
## -41.5, -41.6, -41.8, -41.8, -41.8, -41.8, -41.8, -42.8, -42.8, 
## -42.3, -42.2, -42.4, -42.5, -42.5, -42.5, -42.5, -42.5, -42.5, 
## -43.3, -43.3, -43.2, -43.2, -43.1, -43.1, -43.1, -43.1, -43.1, 
## -43, -42.8, -42.8, 14.8, 14.5, 14, 14, 14, 14, 14.1, 14.1, 14.5, 
## 14.5, 14.5, 14.1, 14, 13.9, 13.9, 13.9, 13.9, 13.9, 13.8, 13.8, 
## 13.8, 13.7, 13.8, 13.9, 13.9, 13.9, 13.8, 13.7, 13.7, 13.7, 13.6, 
## 13.7, 13.7, 13.6, 13.6, 13.7, 13.7, 13.7, 13.8, 13.7, 13.7, 13.8, 
## 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 
## 13.8, 13.8, 13.8, 13.7, 13.6, 13.1, 13.4, 13.6, 13.7, 13.7, 13.8, 
## 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.6, 13.6, 13.5, 13.5, 13.5, 
## 13.7, 13.7, 13.9, 13.9, 13.8, 13.7, 13.7, 13.6, 13.6, 13.6, 13.6, 
## 13.7, 13.7, 13.7, 13.6, 13.6, 13.9, 14, 14.1, 14.1, 14.1, 14, 
## 14, 13.8, 13.8, 13.7, 13.7, 13.8, 13.7, 13.7, 13.7, 13.8, 13.9, 
## 13.9, 13.8, 13.8, 13.8, 14, 13.8, 13.8, 13.7, 13.7, 13.7, 13.7, 
## 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 14.1, 14.2, 14.2, 14.2, 
## 14.2, 14.2, 14.2, 14.2, 14.3, 14.4, 14.6, 14.6, 14.6, 14.6, 14.6, 
## 14.5, 14.5, 14.5, 14.5, 14.3, 14.2, 14.1, 14.1, 14.1, 14.1, 14, 
## 13.8, 13.8, 14, 14, 14.6, 14.7, 14.8, 14.8, 14.8, 14.6, 14.3, 
## 14.2, 14.2, 14.2, 14.2, 14.3, 14.3, 14.3, 14.3, 14.3, 14.3, 14.4, 
## 14.4, 14.3, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.1, 
## 14.1, 14.1, 14, 14, 13.9, 13.7, 13.6, 13.7, 14.1, 14.2, 14.3, 
## 14.3, 14.2, 14.1, 14.1, 14.1, 14.1, 14.1, 14.1, 14, 14, 14, 14, 
## 14, 14.2, 14.3, 14.4, 14.4, 14.4, 14, 14.1, 14.2, 14.3, 14.4, 
## 14.3, 14.3, 14.3, 14.4, 14.4, 14.4, 14, 14, 13.7, 13.7, 13.8, 
## 14, 14.3, 14.4, 14.5, 14.5, 14.5, 14.5, 14.5, 14.4, 14.1, 14, 
## 14, 14.1, 14.1, 14.1, 14.2, 14.2, 14.3, 14.5, 14.7, 14.8, 14.8, 
## 14.9, 14.9, 14.9, 14.9, 14.9, 15, 14.8, 14.7, 14.5, 14.8, 14.9, 
## 14.9, 14.9, 14.9, 14.8, 14.8, 14.7, 14.7, 14.7, 14.6, 14.3, 14.1, 
## 14, 13.9, 13.9, 13.9, 13.9, 13.9, 13.8, 13.8, 13.8, 13.7, 13.8, 
## 13.9, 13.9, 13.9, 13.9, 14, 14.5, 14.5, 14.5, 14.2, 14.2, 14.2, 
## 14.2, 14.2, 14.2, 13.8, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 
## 13.7, 13.8, 13.9, 14, 14, 14.1, 14.2, 14.2, 14.1, 14.1, 14, 14.1, 
## 14.1, 14.2, 14.2, 14.3, 14.3, 14.4, 5.34, 5.35, 5.24, 5.28, 5.35, 
## 5.37, 5.36, 5.37, 5.03, 4.98, 4.91, 4.91, 4.92, 4.96, 4.96, 4.98, 
## 5.04, 5.15, 5.25, 5.26, 5.32, 5.43, 5.52, 5.54, 5.57, 5.8, 5.61, 
## 5.56, 5.37, 5.12, 4.73, 4.52, 4.43, 4.35, 4.32, 4.3, 4.55, 5.24, 
## 5.3, 5.22, 4.99, 4.98, 2.15, 2.1, 2.11, 2.11, 2.1, 2.1, 2.11, 
## 2.11, 2.08, 1.97, 1.93, 1.91, 1.99, 2.3, 1.84, 1.1, 1.24, 1.49, 
## 1.52, 1.54, 1.58, 1.85, 2.31, 2.35, 2.31, 2.27, 1.32, 0.91, 0.82, 
## 0.8, 0.78, 0.78, 0.75, 0.76, 0.78, 1.14, 2.19, 2.44, 2.53, 2.69, 
## 2.73, 2.78, 2.83, 3.47, 3.78, 4.14, 25.7, 25.7, 25.7, 25.5, 25.6, 
## 25.6, 25.5, 25.3, 25.2, 25.1, 25, 25, 25, 25.4, 25.3, 25.3, 25.3, 
## 25.4, 25.5, 25.4, 25.4, 25.3, 25.4, 25.1, 25.2, 25.3, 25.3, 25.3, 
## 25.4, 25.6, 25.8, 25.9, 25.9, 26, 26.1, 26.1, 26.1, 25.8, 25.8, 
## 25.9, 25.8, 25.5, 25.6, 25.6, 25.5, 25.5, 25.4, 25.3, 25.3, 25.2, 
## 25.2, 25.2, 25.2, 24.9, 24.9, 24.8, 26, 26, 25.9, 25.9, 25.8, 
## 25.9, 25.9, 25.8, 25.8, 25.6, 25.6, 25.6, 6.71, 6.84, 7.51, 7.76, 
## 7.83, 7.92, 8.11, 8.26, 8.34, 8.42, 8.48, 8.5, 8.53, 8.53, 8.52, 
## 8.5, 8.24, 8.22, 8.2, 8.37, 8.44, 8.69, 7.37, 7.33, 7.19, 7.21, 
## 7.23, 7.3, 7.29, 7.21, 6.99, 6.69, 5.73, 6.73, 6.7, 6.43, 6.36, 
## 6.31, 6.45, 6.83, 6.8, 6.79, 6.77, 6.83, 6.83, 6.89, 6.78, 6.74, 
## 6.77, 6.74, 6.84, 6.75, 6.44, 6.09, 6.03, 6.09, 6.27, 6.28, 6.3, 
## 6.66, 6.96, 6.91, 6.74, 6.5, 6.5, 6.48, 6.37, 6.36, 6.38, 6.52, 
## 6.52, 6.6, 6.59, 6.99, 6.98, 6.94, 6.94, 6.87, 6.91, 6.95, 6.6, 
## 5.75, 5.69, 5.72, 5.86, 6.02, 6.26, 6.45, 6.55, 6.83, 6.9, 7.2, 
## 7.24, 7.29, 7.3, 7.34, 7.49, 7.54, 7.73, 7.8, 7.91, 7.99, 8.28, 
## 8.91, 8.83, 8.81, 8.71, 8.68, 8.62, 8.58, 8.51, 8.41, 8.39, 8.28, 
## 8.05, 8.03, 7.89, 25.1, 24.9, 24.8, 24.8, 24.9, 24.9, 25, 25, 
## 24.9, 24.8, 24.8, 24.9, 25, 25, 25, 25.1, 25.5, 25.5, 25.3, 25.2, 
## 24.9, 24.9, 24.9, 24.9, 24.9, 25.2, 25.2, 25.2, 25.2, 24.9, 24.9, 
## 24.9, 24.9, 25, 25.1, 25.2, 25.4, 25.3, 25.8, 25.6, 25.5, 25.3, 
## 25.2, 25.1, 25.1, 25.2, 25.2, 25.4, 25.5, 25.6, 25.6, 25.6, 25.5, 
## 25.5, 25.5, 25.5, 25.4, 25.4, 25.2, 25.3, 25.2, 25.2, 25.4, 25.6, 
## 25.7, 26, 25.9, 25.7, 25.6, 25.5, 25.5, 25.6, 25.4, 25.4, 25.2, 
## 25.1, 25.1, 25.1, 25.2, 25.2, 25.1, 25, 25, 25, 25, 25.6, 25.7, 
## 25.8, 25.8, 25.8, 25.8, 25.7, 25.7, 25.7, 25.5, 25.5, 25.5, 25.5, 
## 25.5, 25.4, 25.4, 25.3, 25.3, 25.3, 25.3, 25.4, 25.5, 25.7, 25.6, 
## 25.2, 25.2, 25.1, 25.3, 25.4, 26, 26.1, 26, 25.3, 25.3, 25.2, 
## 25.2, 25.3, 25.4, 25.4, 25.5, 25.5, 25.5, 25.6, 25.6, 25.6, 25.2, 
## 25.3, 25.4, 25.3, 25.3, 25.3, 25.2, 25.2, 25.1, 25.2, 25.2, 25.2, 
## 25.5, 25.5, 25.7, 25.8, 25.8, 25.8, 25.4, 25.4, 25.4, 25.4, 25.5, 
## 25.5, 25.6, 25.6, 25.6, 25.6, 25.6, 25.7, 25.6, 25.5, 25.5, 25.5, 
## 25.5, 25.5, 25.4, 25.3, 25.3, 25.2, 25.2, 25.3, 25.4, 25.4, 25.2, 
## 25.1, 25.1, 25.1, 25, 25, 24.9, 24.9, 24.9, 25.1, 25.2, 25.3, 
## 25.3, 25.4, 25.2, 25, 25, 24.6, 24.6, 24.6, 24.6, 24.9, 25, 25.1, 
## 25.3, 25.3, 25.2, 25.2, 25.1, 25.1, 25.2, 25.2, 25.2, 25.3, 25.3, 
## 25.3, 25.4, 25.8, 25.7, 25.3, 25.5, 25.7, 25.8, 26.1, 26.1, 26.1, 
## 26.1, 25.8, 25.8, 25.8, 25.7, 25.7, 25.7, 25.9, 25.9, 25.5, 25.3, 
## 16.3, 16.3, 16.3, 16.3, 16.3, 16.4, 16.5, 16.5, 16.5, 16.4, 16.4, 
## 16.5, 16.4, 16.4, 16.4, 16.3, 16.3, 16.3, 16.3, 16.3, 16.1, 16.2, 
## 16.2, 16.2, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.5, 16.5, 
## 16.4, 16.4, 16.3, 16.2, 16, 16, 16, 16.1, 16, 16.1, 16.2, 16.3, 
## 16.3, 16.3, 16.3, 16.3, 16.2, 16.2, 16.2, 16.1, 16, 16, 16.1, 
## 16.1, 16.2, 16.2, 16.2, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 15.9, 
## 16.1, 16.2, 16.3, 16.3, 16.2, 15.7, 15.7, 15.6, 15.6, 15.6, 15.6, 
## 15.6, 15.6, 15.7, 15.8, 15.9, 16.2, 16.3, 16.5, 16.5, 16.4, 16.3, 
## 16.3, 16.4, 16.5, 16.5, 16.6, 16.5, 16.5, 16.3, 16.2, 16.1, 16.1, 
## 16.1, 16.2, 16.2, 16.2, 16.2, 16.2, 16.3, 16.4, 16.4, 16.3, 16.1, 
## 16.1, 16.1, 16.1, 16.5, 16.6, 16.7, 16.7, 16.7, 16.8, 16.8, 16.9, 
## 16.9, 16.5, 16.5, 16.8, 16.8, 16.8, 16.7, 16.6, 16.5, 16.5, 17, 
## 17.2, 17.1, 17, 16.9, 16.9, 16.9, 17, 17.2, 17.4, 17.5, 17.5, 
## 17.7, 17.6, 17.6, 17.8, 17.9, 18, 18.1, 18.1, 18.1, 18.1, 18.1, 
## 18.2, 18.2, 18.1, 18, 17.8, 17.8, 17.6, 17.5, 17.6, 17.7, 17.7, 
## 17.9, 18, 18.1, 18.1, 18.3, 18.3, 18.2, 18.1, 18, 17.8, 17.6, 
## 17.1, 16.5, 16.5, 16.4, 16.3, 16, 15.9, 15.8, 16, 2.75, 2.69, 
## 2.61, 2.62, 2.54, 1.76, 1.35, 0.21, 0.01, -1.46, -1.72, -1.82, 
## -1.29, -0.99, -0.82, -0.39, 0.79, 1.29, 0.93, 0.28, 0.24, 0.33, 
## 0.92, 1.18, 2.03, 2.39, 2.13, 1.86, 1.87, 2.36, 2.41, 2.4, 2.44, 
## 2.48, 2.73, 2.43, 1.47, 1.14, 0.63, -3.69, -3.98, -4.39, -4.45, 
## -4.16, -3.78, -3.22, -2.66, -1.97, -1.42, -1.77, -1.95, -2.15, 
## -2.43, -2.67, -3.02, -3.71, -3.73, -3.58, -1.09, -2.26, -3.24, 
## -3.98, -3.98, -3.65, -1.54, -1.12, 0.82, 1, 1.01, 1.3, 0.97, 
## 0.71, -0.18, -0.57, -0.96, -0.94, -0.88, -0.86, -0.97, -1.4, 
## -1.89, -0.7, -0.56, -0.37, 0.46, 1.25, 0.95, 0.64, 0.3, -0.17, 
## -0.7, -1.23, -2.46, -3.4, -3.71, -4.2, -3.38, -2.34, -2.46, -2.73, 
## -2.84, -2.9, -2.92, -2.96, -3.05, -3.33, -3.25, -3.22, -3.25, 
## -3.24, -3.26, -3.32, -3.34, -3.02, -2.99, -2.82, -2.72, -2.08, 
## -2.03, -1.59, -1.47, -0.69, -1.32, -1.68, -2.84, -3.9, -4.53, 
## -5.65, -5.62, -5.39, -5.26, -5.17, -5.17, -5.15, -5.09, -5.03, 
## -4.8, -4.72, -4.14, -4.17, -3.23, -3.47, -3.41, -2.95, -2.29, 
## -2.24, -1.33, -1.06, -0.17, 0.39, 0.95, 0.29, -0.27, -0.73, -0.95, 
## -0.82, -0.71, 0.28, 0.42, 0.45, 0.55, 0.7, 0.94, 0.17, -0.79, 
## -1.35, -2.21, -2.74, -4.38, -4.29, -3.97, -1.57, -0.6, 0.49, 
## 0.89, 1.74, 2.54, 3.18, 3.63, 2.5, 2.05, 1.27, 0.9, 1.03, 1.03, 
## 1.12, 1.38, 1.4, 1.27, 1.09, 1.09, 1.23, 1.37, 1.32, 1.21, 1.05, 
## 0.61, -0.58, -0.84, -1.09, -1.86, -1.84, -1.85, -1.91, -2.3, 
## -2.75, -3, -3.2, -3.03, -2.64, -1.64, -0.06, 2.14, 2.58, 2.97, 
## 4.21, 4.33, 3.14, 2.86, 2.66, 2.49, 2.28, 1.7, 1.2, 0.98, 0.54, 
## 0.33, 0.14, 0.41, 0.57, 0.97, 1.04, 1.14, 2.17, 2.3, 2.39, 2.46, 
## 2.59, 2.67, 2.56, 2.56, 2.6, 2.22, 1.94, 1.94, 2.06, 2.11, 2.13, 
## 2.15, 3.08, 4.51, 6.51, 7.01, 7.94, 6.62, 6.69, 6.71, 6.97, 7.37, 
## 7.5, 7.64, 7.95, 8.24, 8.32, 8.33, 7.21, 7.08, 6.97, 6.97, 8.05, 
## 8.2, 8.21, 7.91, 7.75, 7.52, 7.23, 7.15, 7.01, 7.03, 7.18, 7.26, 
## 7.4, 7.49, 7.6, 7.49, 7.45, 7.01, 6.85, 6.8, 6.56, 6.54, 6.51, 
## 6.51, 6.51, 6.85, 6.97, 7.12, 7.29, 7.56, 7.59, 7.41, 7.05, 6.99, 
## 7.06, 7.16, 7.15, 7.11, 7.11, 7.02, 6.98, 6.94, 6.95, 7.19, 7.41, 
## 7.44, 7.48, 7.49, 7.5, 7.51, 7.51, 7.45, 7.42, 7.03, 6.83, 6.65, 
## 6.62, 6.6, 6.59, 6.86, 7.51, 7.54, 7.48, 7.44, 7.44, 7.42, 7.42, 
## 7.44, 7.45, 7.17, 7.1, 6.85, 6.72, 6.81, 7.78, 8.13, 8.2, 8.25, 
## 8.34, 8.3, 8.26, 8.1, 7.95, 7.62, 7.46, 7.16, 6.96, 6.86, 6.79, 
## 6.68, 6.59, 6.66, 6.75, 7.51, 7.84, 7.97, 8.04, 8.08, 8, 7.87, 
## 7.89, 7.95, 7.63, 7.41, 7.44, 7.49, 7.62, 7.98, 8.1, 8.15, 8.23, 
## 8.25, 8.23, 8.17, 7.27, 6.57, 6.49, 6.59, 7, 6.75, 6.75, 6.75, 
## 6.71, 6.23, 6.18, 6.18, 6.06, 6.02, 6.02, 6.11, 6.2, 6.53, 6.65, 
## 6.75, 7.19, 7.01, 6.9, 6.72, 6.61, 6.52, 6.52, 6.5, 6.39, 6.57, 
## 6.73, 6.87, 6.96, 6.97, 7.86, 7.76, 7.71, 7.26, 7.21, 7.14, 7.08, 
## 7.06, 7.05, 7.1, 7.08, 7, 6.65, 6.74, 7.16, 7.13, 7.17, 7.35, 
## 7.42, 7.35, 7.34, 7.31, 7.24, 7.08, 7.03, 6.69, 6.67, 7.2, 7.67, 
## 7.48, 6.89, 3.89, 3.81, 3.89, 3.73, 3.7, 4.12, 4.32, 4.56, 4.8, 
## 5.27, 4.67, 4.44, 4.39, 4.33, 4.51, 4.53, 4.53, 4.49, 4.51, 4.54, 
## 4.37, 4.19, 4.15, 5.3, 5.22, 5.16, 4.94, 4.77, 4.65, 4.49, 3.9, 
## 3.81, 3.54, 3.53, 3.77, 4.17, 4.21, 4.3, 4.42, 4.45, 4.03, 3.97, 
## 3.91, 4.03, 4.16, 4.57, 4.54, 4.47, 4.41, 4.17, 3.83, 3.81, 3.9, 
## 4.07, 4.28, 4.27, 4.35, 4.33, 4.34, 4.33, 4.32, 4.25, 4.22, 4.16, 
## 4.01, 3.75, 3.76, 3.78, 3.9, 4.32, 4.46, 4.7, 4.78, 3.57, 3.52, 
## 3.28, 3.19, 3.29, 4.05, 4.77, 4.97, 4.88, 4.66, 4.58, 4.36, 4.26, 
## 3.99, 3.72, 3.65, 3.62, 3.98, 4.1, 4.12, 4.01, 3.9, 4.1, 4.25, 
## 4.61, 5.36, 5.45, 5.47, 5.48, 5.29, 4.62, 4.31, 4.07, 3.85, 4.34, 
## 4.24, 4.2, 4.15, 3.95, 3.94, 3.97, 4, 4.28, 4.42, 5.02, 4.62, 
## 4.31, 3.94, 4.03, 4.06, 4.1, 4.09, 3.98, 3.93, 3.92, 4.03, 4.16, 
## 5.38, 5.39, 5.38, 5.37, 5.36, 4.63, 4.51, 4.03, 3.54, 3.37, 3.49, 
## 3.59, 4.05, 4.08, 4.09, 4.09, 4.11, 4.08, 4.1, 4.58, 5.72, 4.06, 
## 4.09, 4.1, 4.33, 4.46, 4.48, 4.46, 4.35, 4.31, 4.31, 4.39, 4.6, 
## 4.86, 4.65, 4.54, 4.24, 4.03, 3.99, 4.02, 4.68, 4.92, 4.99, 4.94, 
## 4.9, 4.84, 5.08, 5.14, 5.1, 5.08, 5.02, 5, 4.97, 4.98, 4.99, 
## 5, 5, 5, 5.01, 5.07, 5.1, 5.04, 4.95, 4.92, 4.91, 4.92, 4.9, 
## 4.92, 4.93, 4.96, 4.99, 4.99, 4.98, 4.97, 4.96, 4.97, 4.98, 4.99, 
## 5, 5.02, 5.02, 4.98, 4.93, 4.91, 4.89, 4.77, 4.66, 4.58, 4.52, 
## 4.46, 4.38, 4.25, 4.23, 4.57, 4.63, 4.65, 4.76, 5.01, 5.41, 5.48, 
## 5.53, 5.69, 5.85, 5.97, 5.88, 5.64, 5.54, 5.4, 5.22, 5.18, 5.19, 
## 5.23, 5.29, 5.29, -41.9, -41.8, -41.7, -41.7, -41.7, -41.7, -41.7, 
## -41.6, -41.6, -41.8, -41.8, -41.6, -41.7, -41.8, -41.8, -41.8, 
## -41.7, -41.7, -41.7, -41.7, -41.6, -41.6, -41.6, -41.7, -41.7, 
## -41.7, -41.7, -41.8, -41.8, -41.9, -41.9, -42, -41.9, -41.9, 
## -41.9, -41.9, -41.9, -41.9, -41.7, -41.7, -41.7, -41.8, -41.8, 
## -41.7, -41.7, -41.8, -41.9, -41.9, -42, -41.9, -41.9, -42, -42, 
## -42, -42, -42, -41.8, -41.8, -41.9, -42, -42, -42, -41.9, -41.9, 
## -41.9, -41.9, -41.9, -42, -42, -42, -41.9, -41.8, -41.7, -41.7, 
## -41.8, -41.9, -41.6, -42, -42, -42.1, -42.2, -42.2, -42.3, -42.3, 
## -42.5, -42.5, -42.4, -42.4, -42.4, -42.3, -42.2, -42.2, -42.1, 
## -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, 
## -42.2, -42.2, -42.2, -42.3, -42.2, -42.2, -42.2, -42.1, -42.1, 
## -42.1, -42.1, -42, -42, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, 
## -42.1, -42, -41.9, -42, -42, -41.9, -41.9, -41.9, -41.9, -42, 
## -42, -42, -42, -42, -42, -42, -42.1, -42, -41.9, -41.8, -41.9, 
## -42, -42, -41.9, -41.9, -41.9, -41.9, -41.8, -41.8, -41.7, -41.8, 
## -41.9, -42.1, -42.1, -42, -42, -42, -42, -42, -41.9, -41.9, -41.9, 
## -41.9, -41.8, -41.8, -41.5, -41.4, -41.4, -41.6, -41.8, -41.8, 
## -41.7, -41.7, -41.4, -43.1, -44.1, -45.6, -45.8, -46.1, -46.6, 
## -46.9, -47.7, -48, -48.3, -49.3, -49.8, -50.1, -45.6, -46.2, 
## -46.4, -48.7, -47.6, -46.3, -46.1, -45.6, -45.5, -45.4, -45.3, 
## -45.2, -45.2, -45.2, -45.6, -45.9, -45.8, -45.9, -45.9, -45.6, 
## -42.1, -42, -41.9, -41.9, -42, -42.1, -42.2, -42.3, -42.4, -42.4, 
## -42.3, -42, -42.1, -42, -42, -42, -42, -42, -42, -41.8, -41.8, 
## -41.7, -41.6, -41.5, -41.9, -41.9, -42, -42, -42, -42, -41.8, 
## -41.8, -41.8, -41.8, -41.8, -41.8, -41.8, -41.9, -41.9, -41.9, 
## -42, -42, -41.7, -41.7, -41.6, -41.6, -41.7, -41.9, -41.9, -41.9, 
## -41.9, -41.9, -41.9, -41.9, -41.7, -41.7, -41.7, -41.9, -42, 
## -42, -42, -41.8, -41.8, -41.6, -41.6, -41.6, -41.6, -41.6, -41.6, 
## -41.5, -41.4, -41.4, -41.5, -41.4, -41.4, -41.4, -41.4, -41.5, 
## -41.5, -41.8, -41.8, -41.8, -41.8, -41.8, -41.8, -41.7, -41.7, 
## -41.6, -41.6, -41.7, 14.4, 14.2, 14.1, 14, 14.9, 14.9, 15, 15.2, 
## 15.2, 14.9, 14.1, 14.7, 14.8, 14.7, 14.5, 13.5, 13.5, 13.4, 13.5, 
## 13.9, 14, 14.1, 14.4, 14.5, 15.1, 15.2, 15.2, 15.2, 15.2, 15.2, 
## 15.1, 15.5, 15.6, 16, 16, 16.1, 16.1, 15.7, 15.6, 15.6, 15.5, 
## 15.5, 15.5, 15.5, 15.5, 15.6, 15.7, 15.8, 16, 16, 16.1, 16.1, 
## 16.1, 16.1, 16, 16, 15.9, 15.8, 15.8, 15.8, 15.8, 15.9, 16, 16.1, 
## 16.1, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.2, 16.2, 16.1, 15.9, 
## 15.8, 15.8, 15.7, 15.6, 15.6, 15.6, 15.6, 15.8, 15.8, 16, 16, 
## 16.1, 16.2, 16.4, 16.5, 16.6, 16.7, 16.7, 16.7, 16.7, 16.6, 16.7, 
## 16.7, 16.7, 16.7, 16.6, 16.5, 16.3, 16.2, 16.2, 16.2, 16.3, 16.2, 
## 16.2, 16.2, 16.2, 16.3, 16.3, 16.4, 16.4, 16.4, 16.5, 16.5, 16.6, 
## 16.6, 16.5, 16.4, 16.4, 16.4, 16.4, 16.4, 17.5, 17.5, 17.5, 17.5, 
## 17.6, 17.6, 17.7, 17.5, 17.4, 17.7, 17.7, 17.7, 17.7, 16.3, 16.3, 
## 16.3, 16.4, 16.4, 16.4, 16.4, 16.3, 16.2, 16.2, 16.2, 16.2, 16.1, 
## 16.1, 16.1, 16, 15.9, 15.9, 15.9, 15.9, 15.9, 15.8, 15.8, 16.2, 
## 16.2, 16, 16, 16, 16.1, 16.5, 16.5, 16.4, 16.4, 16.3, 16.1, 16, 
## 15.9, 15.9, 16, 16, 16, 16, 16, 16.1, 16.2, 16.2, 16.3, 16.3, 
## 16.4, 16.3, 16.3, 16.4, 16.6, 16.6, 16.7, 16.8, 16.8, 16.3, 15.9, 
## 16.1, 16.1, 16.2, 16.2, 16.1, 16.1, 16, 15.9, 15.8, 15.8, 15.8, 
## 15.8, 15.9, 15.9, 15.9, 14.4, 14.4, 14.4, 14.4, 14.4, 14.5, 14.6, 
## 14.7, 14.8, 15, 15.1, 15.2, 15.3, 15.2, 15, 14.9, 5.48, 5.48, 
## 5.5, 5.43, 4.99, 5.21, 5.23, 5.24, 5.3, 5.35, 5.84, 5.89, 5.68, 
## 5.6, 5.12, 4.77, 4.59, 4.28, 4.18, 4.07, 3.96, 3.76, 3.73, 3.78, 
## 3.87, 3.87, 4.69, 3.42, 3.33, 3.27, 3.21, 3.21, 3.22, 3.2, 4.23, 
## 4.08, 4.01, 3.95, 3.89, 3.78, 3.75, 3.78, 3.91, 4.05, 4.63, 5.02, 
## 5.23, 5.02, 4.76, 4.73, 4.68, 4.42, -3.34, -3.43, -3.52, -3.63, 
## -3.67, -3.63, -1.98, -1.86, -1.75, -0.27, 0.38, -1.47, -4.38, 
## -4.28, -4.19, -4.08, -3.21, -2.89, -2.65, -2.24, -2.14, -2.16, 
## -2.24, -2.34, -2.47, -2.65, -3.27, -3.39, -3.12, -2.54, -2.08, 
## -1.94, -2.69, -2.83, -2.9, -2.5, -2.15, -1.99, -1.84, -1.66, 
## -1.48, -1.13, -0.76, -0.37, -0.19, 0.12, -0.62, -4.6, -4.67, 
## -4.57, -4.31, -3.92, -3.28, -2.99, -2.92, -2.91, -2.93, -2.97, 
## -2.91, -2.88, -2.84, -2.86, -3.75, -3.51, -3.17, -2.86, -2.08, 
## -1.59, -1.08, -0.17, -0.78, -1.7, -2.66, -2.86, -3.15, -3.41, 
## 25.5, 25.5, 25.4, 25.4, 25.3, 25.3, 25.3, 25.7, 25.8, 25.8, 25.7, 
## 25.5, 25.3, 25.3, 25.7, 26, 25.9, 25.6, 25.3, 25.2, 25.2, 25.4, 
## 25.5, 25.5, 25.5, 25.5, 25.5, 25.5, 25.3, 25.4, 25.5, 25.7, 25.6, 
## 25.5, 25.6, 25.2, 25.4, 25.4, 25.4, 25.3, 25.2, 25.2, 25.1, 25.2, 
## 25.2, 25.3, 25.3, 25.4, 25.4, 25.8, 6.64, 6.74, 7.04, 7.14, 7.18, 
## 7.33, 7.39, 7.45, 7.55, 7.54, 7.49, 7.28, 6.96, 5.99, 6.08, 6.81, 
## 6.91, 7.01, 7.04, 7.06, 7.1, 7.13, 7.17, 7.15, 7.2, 7.16, 7.14, 
## 7.31, 7.59, 7.71, 7.88, 7.87, 44.4, 45.1, 46.2, 47.8, 45.6, 46.8, 
## 49.2, 50.5, 56.1, 56.3, 57.2, 57.6, 57.7, 57.8, 58, 58.8, 59.4, 
## 59.8, 60, 60.1, 59.9, 59.9, 60.3, 60.2, 60, 5.82, -36.3, -36.6, 
## -36.7, -36.8, -37, -37.2, -37.4, -37.2, -36.8, -36.9, -37, -37.1, 
## -37.2, -37.8, -38.1, -38.4, -38.4, -38.4, -38.3, -37.2, -37, 
## -36.7, -35.9, -33, -32.4, -31.9, -31.1, -30.1, -29.7, -29.1, 
## -28.6, -28.1, -28.1, -28.1, -27.9, -28.1, -29.6, -30.2, -30.7, 
## -31.1, -31.2, -32.4, -32.6, -32.6, -32.6, -32.6, -32.6, -33.2, 
## -33.6, -34.6, -35.7, -38.7, -41.2, -42.3, -42.5, -42.1, -41, 
## -40.1, -39.2, -38.6, -38.5, -39.1, -37.6, -36, -35.2, -34.4, 
## -33.9, -32.2, -31.9, -31.2, -30.5, -30.4, -30.3, -31.1, -32.4, 
## -33.3, -34.3, -36, -37.4, -38.8, -40.4, -43.2, -45.1, -47.9, 
## -51.5, -52, -53.2, -53.9, -54.4, -55.8, -54.9, -54.7, -53.8, 
## -53.5, -53.3, -39.6, -40.4, -40.3, -40.2, -40.3, -40.6, 5.9, 
## 5.59, 5.27, 4.29, 3.68, 3, 2.18, 1.99, 2.78, 3.08, 3.73, 4.93, 
## 5.01, 5, 5.07, 5.29, 5.73, 6.2, 6.69, 6.85, 6.61, 5.98, 4.93, 
## 4.43, 3.83, 4.06, 5.48, 6.04, 6.29, 6.73, 7.17, 7.87, 8.1, 8.16, 
## 8.14, 8.07, 7.07, 6.87, 6.68, 5.99, 5.67, 5.51, 5.38, 5.19, 4.85, 
## 4.75, 4.89, 5.63, 5.55, 5.45, 4.19, 4.1, 3.84, 4.16, 4.71, 5.38, 
## 7.78, 7.63, 7.48, 6.3, 5.64, 5.9, 6.13, 6.31, 6.54, 6.68, 6.69, 
## 6.83, 6.91, 6.61, 6.42, 5.33, 4.98, 4.64, 3.84, 2.26, 2.39, 4.04, 
## 4.74, 5.09, 5.31, 5.6, 6.1, 6.38, 7.77, 8.08, 8.65, 8.9, 8.97, 
## 8.38, 8.16, 6.74, 6.36, 5.15, 4.42, 3.88, 3.72, 4.58, 4.67, 6.2, 
## 6.17, 5.94, 4.55, 4.43, 4.75, 4.67, 3.57, 2.7, 2.92, 3.53, 4.41, 
## 5.25, 5.74, 5.82, 5.8, 5.83, 6.03, 6.16, 6.4, 6.47, 6.55, 6.73, 
## 6.95, 7.68, 7.17, 6.32, 6.08, 3.87, 3.76, 4.08, 4.76, 5.07, 5.4, 
## 5.74, 5.8, 5.64, 5.39, 5.06, 4.58, 3.91, 3.63, 3.58, 3.6, 3.66, 
## 3.8, 4.18, 4.5, 4.64, 4.93, 5.64, 5.81, 5.78, 5.66, 5.45, 5.22, 
## 4.81, 4.85, 4.8, 4.78, 4.56, 4.67, 5.13, 5.83, 5.98, 5.93, 5.84, 
## 5.77, 5.69, 5.34, 3.01, 2.86, 2.73, 4.26, 4.45, 6.77, 7.31, 7.78, 
## 7.67, 6.19, 6.27, 6.94, 6.78, 6.71, 6.43, 6.34, 5.87, 5.32, 5.16, 
## 3.81, 2.61, 2.38, 2.79, 2.71, 2.59, 2.95, 3.06, 4.06, 4.74, 4.88, 
## 4.96, 5.06, 5.19, 5.41, 5.47, 5.88, 5.82, 5.62, 5.58, 5.52, 5.5, 
## 5.51, 5, 6.24, 6.39, 6.4, 6.3, 6.22, 6.06, 5.94, 5.83, 5.68, 
## 5.37, 4.49, 4.33, 4.12, 3.32, 3.08, 2.89, 2.65, 2.52, 2.63, 2.71, 
## 2.79, 3.17, 3.84, 4.37, 5.51, 5.63, 5.64, 5.64, 5.63, 5.62, 5.65, 
## 5.79, 5.98, 6.21, 6.24, 6.31, 6.33, 6.42, 6.46, 6.48, 6.51, 6.63, 
## 6.79, 7, 7, 7.01, 7.03, 7.07, 7.45, 7.55, 7.77, 8.55, 8.91, 9, 
## 8.88, 8.51, 8.45, 8.39, 8.34, 8.26, 7.88, 7.8, 7.73, 7.41, 7.5, 
## 7.55, 7.63, 7.87, 8.24, 25.3, 25.4, 26.6, 27.4, 28.1, 26.8, 27, 
## 27.2, 27.4, 27.7, 28.6, 29.1, 24, 23.6, 24.1, 24.8, 25.7, 26.4, 
## 26.4, 25.5, 25.2, 24.9, 24.6, 24.5, 24.4, 24.6, 25.4, 25.9, 26.1, 
## 27.1, 27.7, 27.8, 27.4, 27.2, 26.9, 22.6, 22.5, 21.7, 21.5, 21.6, 
## 21.8, 22.1, 23.2, 23.6, 23.8, 24.6, 24.7, 24.3, 24, 23.7, 23.6, 
## 23.5, 23.9, 24.1, 24.4, 24.5, 24.5, 24.5, 25.4, 26, 26.9, 27.2, 
## 27.1, 24, 23.2, 22.7, 21.5, 21.6, 21.6, 21.5, 21.5, 21.7, 22.4, 
## 22.7, 22.8, 23, 22.9, 23.5, 23.6, 23.8, 16, 16, 15.9, 15.9, 16, 
## 16.1, 16.4, 16.6, 16.7, 16, 15.1, 13.2, 12.8, 12.4, 12.2, 12, 
## 11.7, 9.36, 9.08, 7.64, 7.49, 7.35, 7.09, 6.42, 8.2, 8.9, 8.89, 
## 8.86, 8.85, 8.87, 9.47, 9.59, 9.66, 9.73, 10.1, 10.1, 10.1, 10, 
## 9.88, 9.45, 9.37, 9.29, 8.23, 8.03, 7.85, 10.2, 9.82, 9.59, 8.99, 
## 8.62, 6.99, 6.89, 6.69, 6.44, 6.1, 7.05, 7.22, 7.36, 7.6, 7.89, 
## 8.24, 8.34, 8.45, 8.67, 8.74, 9.01, 8.88, 8.78, 8.26, 8.1, 8, 
## 8.11, 8.25, 8.39, 8.54, 8.61, 8.9, 9.36, 9.52, 9.47, 9.4, 8.87, 
## 8.33, 8.01, 7.87, 7.81, 7.65, 6.93, 6.8, 6.26, 6.14, 5.69, 5.63, 
## 5.92, 6.25, 6.38, 6.67, 6.82, 6.97, 7.1, 7.28, 7.37, 7.67, 8.03, 
## 8.58, 8.71, 8.92, 9.1, 9.79, 9.8, 9.79, 9.78, 9.79, 9.8, 9.84, 
## 9.69, 9.82, 9.78, 10.1, 10.4, 10.9, 10.9, 10.8, 10.5, 9.71, 6.93, 
## 5.94, 5.88, 5.96, 5.63, 5.56, 5.79, 5.87, 5.96, 5.86, 5.79, 5.66, 
## 6, 6.98, 7.48, 8, 9.15, 9.71, 11, 11.7, 11.8, 11.4, 10.9, 10.9, 
## 10.8, 10.7, 10.5, 10.5, 10.9, 13.9, 13.7, 10.2, 8.29, 8.01, 7.5, 
## 7.33, 6.99, 7.78, 8, 8.33, 8.69, 10.4, 10.7, 11.6, 12, 12.2, 
## 12.2, 11.9, 11.8, 12, 12.1, 12.3, 12.3, 12.4, 13.5, 14.5, 14.4, 
## 14.3, 14.1, 13, 10.5, 9.03, 8.24, 7.78, 7.92, 8.09, 7.74, 7.52, 
## 7.28, 7.06, 6.93, 6.67, 6.72, 7.61, 8.69, 9.17, 9.97, 10.1, 10.5, 
## 10.3, 10.1, 9.99, 8.96, 8.98, 9.09, 9.19, 9.25, 8.95, 8.88, 8.95, 
## 9.24, 9.8, 9.78, 9.53, 9.41, 8.46, 7.92, 7.63, 6.68, 6.43, 6.42, 
## 6.65, 6.58, 6.46, 5.46, 4.84, 4.38, 4.23, 4.32, 4.44, 4.58, 5.34, 
## 6.14, 6.32, 6.44, 6.68, 6.8, 6.8, 6.89, 6.72, 6.58, 6.51, 6.4, 
## 6.22, 5.86, 5.68, 5.53, 5.69, 5.96, 6.22, 6.35, 6.49, 6.6, 6.74, 
## 6.95, 4.62, 4.78, 4.86, 4.95, 5.21, 5.33, 5.77, 6.87, 7.37, 8.13, 
## 8.34, 9.22, 9.81, 9.7, 9.51, 9.41, 8.94, 8.42, 8.25, 8.12, 7.9, 
## 8.29, 8.36, 8.64, 8.93, 9.13, 9.55, 10.5, 12, 12.6, 12.6, 12.5, 
## 12.2, 10.7, 10.1, 9.85, 9.69, 9.55, 9.69, 10.2, 8.94, 8.85, 8.56, 
## 8.44, 8.23, 8.01, 7.16, 7.4, 6.71, 6.73, 6.62, 7.09, 7.62, 8.13, 
## 8.74, 9.42, 9.63, 9.96, 10.5, 10, 9.62, 9.16, 8.95, 8.4, 8.35, 
## 8.5, 8.51, 8.62, 9.33, 9.24, 9.65, 9.71, 10.1, 10.7, 10.5, 10.3, 
## 9.47, 9.15, 8.17, 7.87, 7.16, 6.77, 5.25, 5.08, 4.99, 4.97, 5.57, 
## 6.51, 6.63, 6.76, 7.6, 8.34, 8.69, 9.37, 9.49, 9.61, 9.75, 9.67, 
## 9.56, 9.46, 8.83, 8.58, 8.43, 8.25, 8.04, 7.7, 6.64, 6.85, 7.05, 
## 7.14, 7.96, 7.53, 6.22, 3.84, 3.47, 3.35, 3.07, 2.88, 3.18, 3.53, 
## 3.35, 3.18, 3.02, 3.23, 3.6, 4.52, 4.17, 4.39, 4.61, 6.43, 6.78, 
## 7.26, 7.54, 7.62, 7.66, 7.68, 7.67, 7.32, 7.25, 6.56, 6.41, 6.05, 
## 5.7, 5.47, 5.42, 5.39, 5.37, 8.05, 7.68, 7.4, 7.26, 6.92, 5.33, 
## 5.32, 5.27, 5.05, 5, 4.97, 4.9, 4.88, 4.64, 4.57, 4.36, 4.16, 
## 3.7, 3.78, 4.23, 4.22, 4.14, 4.08, 3.85, 3.77, 3.61, 3.54, 3.51, 
## 3.61, 3.95, 3.86, 3.08, 3.04, 2.99, 2.75, 1.91, 1.57, 1.53, 1.51, 
## 2.43, 2.48, 2.46, 2.41, 2.12, 1.86, 2.35, 2.52, 2.56, 2.56, 2.25, 
## 1.92, 2.22, 2.39, 2.67, 3.25, 3.42, 3.29, 3.2, 2.96, 2.02, 2.09, 
## 2.78, 2.89, 3.19, 3.24, 3.41, 3.42, 3.43, 3.39, 3.33, 3.18, 3.1, 
## 2.97, 2.82, 2.66, 2.49, 2.36, 2.42, 3.81, 3.83, 3.9, 3.93, 3.53, 
## 3.22, 3.18, 3.15, 2.95, 2.92, 2.8, 3.09, 4.18, 3.66, 3.4, 3.18, 
## 2.92, 2.91, 2.94, 3.05, 3.44, 3.78, 3.97, 4.21, 4.36, 4.57, 4.6, 
## 4.53, 4.22, 4.1, 3.85, 3.7, 3.63, 3.38, 3.25, 2.96, 3.01, 3.05, 
## 3.25, 2.91, 2.03, 1.97, 2.22, 2.95, 3.14, 3.47, 3.6, 3.72, 3.85, 
## 4.21, 4.29, 4.41, 3.49, 2.82, 2.71, 2.44, 2.43, 3.04, 3.32, 3.44, 
## 3.53, 3.55, 3.54, 3.53, 3.51, 3.45, 3.32, 3.12, 3.04, 2.57, 2.25, 
## 2.12, 2.15, 2.27, 2.42, 2.46, 2.46, 2.39, 2.42, 2.46, 2.39, 1.88, 
## 1.99, 3.48, 3.48, 3.48, 3.38, 3.31, 3.2, 2.62, 2.37, 2.27, 2.1, 
## 2.08, 2.07, 2.14, 2.21, 3.04, 3.1, 3.14, 3.1, 3.03, 2.92, 2.88, 
## 2.79, 3.14, 3.22, 3.3, 3.76, 3.92, 4.55, 5.06, 5.14, 5.2, 5.21, 
## 5.18, 5.23, 5.3, 5.26, 5.18, 4.25, 4.05, 2.5, 2.33, 1.27, 1.11, 
## 1.02, 1.12, 1.4, 2.09, 2.71, 3.06, 3.34, 3.39, 3.38, 3.39, 3.55, 
## 3.56, 3.59, 3.58, 3.55, 3.49, 3.53, 3.58, 3.62, 3.67, 3.67, 3.71, 
## 3.68, 3.58, 3.53, 3.47, 3.44, 3.43, 3.42, 3.43, 3.43, 3.4, 3.39, 
## 3.32, 3.3, 3.28, 3.26, 3.26, 3.27, 2.03, 3.05, 6.25, 8.74, 10.5, 
## 11.3, 15.2, 18.4, 23.4, 26.9, 31.2, 33, 36, 5.16, 5.08, 5, 4.92, 
## 4.88, 4.88, 4.98, 4.99, 5.02, 5.09, 5.16, 5.18, 5.21, 5.19, 5.12, 
## 5.07, 5.05, 5.01, 4.97, 4.96, 6.19, 5.99, 5.92, 5.25, 4.66, 4.32, 
## 4.16, 3.48, 1.48, 0.74, -2.46, -2.82, -2.92, -1.25, -0.81, 1.24, 
## 0.76, 0.47, 0.2, -0.72, -1.23, -1.32, -1.37, 0.81, 1.69, 2.08, 
## 2.68, 3.45, 3.52, 2.94, 0.55, -0.25, -0.27, -1.61, -1.74, -1.46, 
## 0.03, 0.76, 0.88, 0.95, 0.36, -0.3, -1.21, -1.76, -1.75, -1, 
## 0.85, 1.39, 2.67, 2.35, 1.23, 0.69, -4.69, -5, -4.49, -3.29, 
## -1.26, -0.45, 0.14, 0.77, 0.83, 0.81, 1.01, 1.18, 1.47, 1.66, 
## 1.67, 1.66, 2.22, 2.45, 2.89, 3.1, 3.31, 3.52, 3.65, 4.02, 3.05, 
## 2.63, 1.43, -1.98, -2.61, -5.85, -5.56, -3.45, -3, -2.68, -1.49, 
## -1.29, -0.85, -0.52, -0.57, -0.68, -0.46, 0.64, 1.55, 1.64, 1.45, 
## -4.94, -5.38, -7.06, -7.31, -7.18, -7.06, -6.8, -5.58, -2.22, 
## -1.42, -0.23, -0.21, -0.14, -0.16, -0.66, -0.64, 0.05, 0.3, 0.8, 
## 1.78, 2.38, 2.15, 1.92, 1.62, 0.56, -0.14, -2.58, -3.46, -7.08, 
## -7.41, -7.61, -7.97, -8.02, -8.03, -8, -7.9, -7.51, -4.5, -3.53, 
## -3.44, -3.36, -3.14, -2.82, -2.98, -1.19, -0.55, 0.36, -0.17, 
## -1.59, -3.35, -5.97, -6.86, -6.66, -6.08, -3.53, -3.31, -0.64, 
## -0.21, -0.09, -0.01, -1.44, -1.16, -0.93, -0.21, 0.65, -1.9, 
## -1.39, -1.12, -0.63, -0.15, 0.54, 0.62, 0.27, -0.05, -1.44, -1.7, 
## -2.83, -3.7, -4.14, -3.75, -2.79, -1.09, -0.05, 2.74, 3.74, 3.93, 
## 3.92, 2.32, 2.18, 1.85, 1.19, 1.05, 1.71, 1, 0.77, -0.36, 0.73, 
## 1.04, 2.32, 2.57, 2.47, 2.05, 1.65, 4.01, 4.06, 4.17, 4.2, 4.28, 
## 4.38, 4.53, 4.58, 4.75, 4.73, 4.63, 4.55, 4.53, 4.62, 5.07, 5.6, 
## 5.71, 5.7, 5.5, 5.51, 5.58, 5.58, 5.56, 5.48, 5.46, 5.44, 5.39, 
## -46.4, -46.4, -46.3, -46.2, -46, -45.7, -45.1, -44.8, -44, -42.6, 
## -42.2, -41.8, -41.7, -41.6, -40.6, -40, -38.5, -37.9, -37.4, 
## -35.6, -34.2, -34, -33.8, -33.5, -33.6, -34.3, -34.6, -34.9, 
## -36.2, -36.7, -37.5, -38.1, -38.4, -38.8, -39.8, -39.9, -39.9, 
## -40, -40, -40.1, -40.2, -40.1, -40.1, -40, -40.2, -40.4, -41, 
## -41.3, -40.5, -40.4, -40.1, -39.5, -37.4, -36.4, -35.2, -33.8, 
## -33, -32.8, -31.8, -30.4, -29.9, -29.7, -29.5, -29.2, -29, -29, 
## -29.3, -30.3, -30.6, -30.9, -31.2, -32.5, -34.7, -34.9, -35.2, 
## -35.5, -35.8, -35.9, -36.1, -36.5, -36, -36.4, -36.2, -35.7, 
## -35.6, -35.5, -35.5, -35.3, -32, -31.7, -29.8, -29.7, -29.7, 
## -29.2, -29, -29, -29.1, -29.5, -30.8, -31.8, -33.1, -33.3, -34, 
## -34.2, -34.4, -34.5, -35, -35.4, -35.7, -36, -36, -36.1, -36.3, 
## -36.4, -36.5, -36.7, -36.8, -37.1, -37.2, -37.2, -36.7, -35.9, 
## -35, -34.8, -34.6, -34.5, -34.3, -34.2, -33.5, -33.3, -32.8, 
## -31.6, -30.5, -29.3, -28.1, -27.9, -27.1, -27, -27.1, -27.2, 
## -27.8, -28.4, -31, -31.3, -33.7, -34.1, -34.6, -34.8, -32, -32.2, 
## -33.1, -33, -32.5, -31.8, -31.1, -30.9, -30.6, -30.8, -30.7, 
## -30.6, -31.1, -31.4, -31.5, -31.8, -34, -34.1, -35.9, -36.2, 
## -36, -35.9, -35.6, -36.4, -36.2, -35.4, -35.2, -35, -34.5, -34.2, 
## -34.2, -34.3, -34.5, -34.4, -33.3, -33.1, -33.1, -32.9, -32.4, 
## -31.2, -31.7, -32, -32, -32, -32, -32.1, -33.6, -34.1, -34.3, 
## -34.9, -36, -35.6, -35.5, -35.3, -34.9, -35, -34.9, -34.4, -33.7, 
## -32.3, -32.2, -32.2, -32.2, -32.1, -31.9, -31.8, -31.4, -31, 
## -31.1, -31.1, -31.2, -31.1, -31.1, -31.4, -31.6, -31.9, -32, 
## -32.7, -33, -33.1, -33.6, -33.7, -33.7, -33.7, -33.6, -33.5, 
## -33.3, -33.3, -33.3, -33.1, -33, -33.8, -33, -32.8, -33, -32.7, 
## -32.1, -31, -29.6, -29.3, -28.3, -28.2, -27.8, -27.7, -27.5, 
## -28, -28.4, -29, -29.1, -29.2, -29.3, -30.2, -30.8, -35.7, -35.5, 
## -35.2, -35, -34.2, -30.9, -31.5, -31.7, -31.3, -32.9, -33, -33.4, 
## -33.5, -33.7, -33.9, -34.1, -34.5, -35.3, -35.4, -36.1, -36.4, 
## -36.6, -37, -37.3, -37.5, -37.8, -37.9, -38, -38.2, -38.4, -38.4, 
## -38.4, -37.8, -37.4, -36.2, -35.1, -35.2, -35.3, -35.4, -35.4, 
## -34.9, -34.8, -34.9, -35.2, -35, -34.9, -33.4, -31.8, 21.7, 23.7, 
## 25.1, 25.5, 25.3, 25.3, 25.1, 25, 25.1, 25.2, 24.8, 24.1, 24.3, 
## 25.3, 25.3, 25.2, 20.4, 23.9, 23.5, 23.5, 23.6, 23.8, 24, 24.4, 
## 23.8, 23.4, 21.9, 20.5, 19.9, 18.9, 18.6, 20, 20.6, 21, 21.2, 
## 21.7, 21.7, 21.9, 22.3, 22.4, 22.6, 22.9, 21.8, 22, 22.5, 22, 
## 22, 21.8, 21.8, 22.4, 23.3, 23.4, 23.8, 23.6, 21.7, 20.3, 20.2, 
## 19.9, 19.6, 19.9, 23.4, 23.6, 23.8, 24.4, 24.6, 24.2, 23.5, 23.6, 
## 23.9, 23.9, 24, 23.7, 23.2, 23.3, 23.6, 24.5, 25, 24.9, 24.7, 
## 24.3, 23.6, 23.4, 23.5, 24.3, 24.4, 25.3, 26.4, 25.3, 24.9, 23.3, 
## 22.4, 22.2, 22.3, 22.1, 21.6, 20.2, 19.8, 19.2, 18.7, 19.4, 19.8, 
## 20.2, 21.7, 22.2, 22.6, 23, 24, 24.7, 24, 23.4, 22.3, 17.9, 17.9, 
## 17.8, 17.9, 17.9, 19.4, 21.6, 22.6, 23.3, 23.4, 22.3, 25, 25.2, 
## 24.9, 25.1, 25.3, 25.5, 26, 26, 25.3, 25.4, 25.6, 25.9, 26.3, 
## 26.7, 26.5, 26.6, 26.6, 26.6, 26.5, 26.3, 26.2, 26.2, 26.3, 26.6, 
## 26.6, 26.4, 26.2, 5.34, 5.29, 4.66, 4.25, 4.2, 4.19, 4.1, 4.07, 
## 4.12, 4.24, 4.51, 4.81, 4.93, 5.05, 5.29, 5.47, 5.66, 5.84, 6.75, 
## 6.8, 6.86, 6.69, 6.65, 6.42, 6.39, 6.39, 6.29, 6.19, 6.03, 7.17, 
## 7.46, 7.74, 8.37, 9.44, 9.23, 8.96, 8.28, 7.64, 7.42, 7.21, 6.98, 
## 6.7, 5.61, 4.76, 4.68, 4.62, 1.53, 1.65, 1.73, 1.84, 2.21, 2.39, 
## 2.49, 2.6, 2.94, 3.01, 3.12, 3.49, 3.7, 3.72, 3.85, 3.91, 4, 
## 1.82, 2.01, 2.19, 2.46, 2.34, 1.91, -0.13, -3.29, -3.84, -4.05, 
## -4.15, -4.01, -3.56, -2.22, 0.26, 0.75, 1.02, 0.9, -0.07, -1.21, 
## -1.82, -3.9, -3.93, -3.8, -3.6, -2.77, -1.96, 1.44, 2.97, 3.2, 
## 2.84, 1.8, 1.43, 5.29, 5.33, 5.4, 5.41, 5.67, 5.7, 6.27, 6.41, 
## 6.54, 6.7, 6.7, 6.64, 6.56, 6.36, 3.28, 3.27, 3.19, 3.14, 2.96, 
## 2.76, 2.69, 2.15, 1.45, 0.9, 0.17, -0.55, -2.12, -2.32, 2.12, 
## 2.31, 2.99, 3.09, 2.96, 2.96, 2.96, 2.95, 2.95, 3.48, 3.55, 3.58, 
## 3.59, 3.57, 3.52, 3.49, 3.48, 2.67, 2.65, 2.42, 2.35, 2.03, 1.94, 
## 1.82, 1.8, 1.84, 1.86, 2.34, 2.41, 20.9, 20.8, 20.5, 20.3, 21.5, 
## 21.6, 22.6, 23, 23, 23, 23.3, 23.6, 24, 24, 24.1, 24.3, 24.6, 
## 24.7, 24.8, 20.1, 19.5, 19.1, 18.9, 19, 19, 19.3, 19.6, 21.1, 
## 23.2, 23.2, 23.2, 23, 22.7, 23.9, 23.7, 23.6, 22.7, 19.7, 20, 
## 20.3, 20.7, 21.4, 24.1, 24.4, 25, 25, 25, 24.4, 24.9, 20, 19.9, 
## 20, 21.1, 22.3, 23.8, 25.6, 25.5, 25.2, 25, 24.8, 24, 24.1, 23.9, 
## 23.4, 23.3, 23.3, 23.4, 24.4, 24.5, 24.4, 24, 24, 22.2, 21.8, 
## 6.36, 6.23, 6.28, 6.15, 6.16, 6.23, 6.36, 6.81, 6.82, 6.63, 6.55, 
## 5.58, 4.54, 1.92, 1.77, 1.9, 2.54, 3.37, 3.6, 4.35, 4.59, 6.67, 
## 7.88, 8.18, 7.75, 7.52, 7.39, 4.69, 6.29, 6.4, 6.85, 6.81, 6.77, 
## 6.69, 6.54, 6.35, 5.9, 5.77, 5.11, 4.63, 4.14, 3.54, 4.02, 4.57, 
## 5.07, 5.14, 5.18, 5.25, 5.33, 5.34, 5.05, 5.1, 4.34, 4.16, 3.94, 
## 3.77, 3.5, 3.35, 3.38, 3.41, 3.5, 3.97, 4.18, 4.34, -48.7, -44.2, 
## -42, -39.9, -39.3, -37.9, -36.2, -32, -32, -32.1, -32.3, -32.7, 
## -33.8, -34.7, -34.8, -35.3, -35.9, -36), yaw_belt = c(-94.4, 
## -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, 
## -94.4, -94.4, -94.3, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, 
## -94.3, -94.4, -94.3, -94.3, -94.3, -94.3, -94.2, -94.2, -94.2, 
## -94.2, -94.2, -94.1, -94.2, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94, -94.1, -94.1, -94.1, -94.1, -94.1, -94, -94.1, -94, 
## -94, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94.1, -94, -94, -94, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94, -94, -94, -94, -94, -93.9, -93.9, -93.9, -93.9, -93.9, 
## -93.9, -93.9, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 1.63, 1.07, 0.87, 0.56, 
## 0.51, 0.5, 0.78, 0.92, 0.97, 0.93, 0.67, 0.78, 0.86, 0.95, 1.3, 
## 1.32, 1.59, 1.63, 1.65, 1.71, 1.85, 1.92, 1.92, 2.09, 2.12, 2.2, 
## 2.25, 2.35, 2.35, 2.39, 2.4, 2.45, 2.46, 2.57, 2.61, 2.63, 2.66, 
## 2.68, 2.66, 2.49, 2.36, 2.32, 2.01, 2.01, 1.97, 1.94, 1.95, 1.76, 
## 1.61, 1.41, 1.35, 1.1, 0.91, 0.71, 0.6, 0.36, 0.23, 0.19, 0.78, 
## 1.06, 1.64, 1.68, 1.94, 1.75, 1.5, 1.34, 1.29, 1.13, 0.8, 0.67, 
## 0.33, 0.3, 0.4, 0.46, 0.45, 0.43, 0.35, 0.38, 0.88, 1.09, 1.18, 
## 1.15, 0.85, 0.13, -0.15, -0.58, -1.03, -1.21, -1.86, -2.03, -2.07, 
## -2.08, -2, -1.68, -1.36, -1.26, -0.79, -0.77, -0.98, -0.94, -0.96, 
## -0.9, -0.9, -0.89, -0.86, -0.57, -0.65, -0.7, -0.74, -0.74, -0.79, 
## -0.71, -0.7, -0.19, -0.07, -0.09, -0.03, -0.04, -0.05, -0.24, 
## -0.57, -0.98, -1.19, -1.32, -1.51, -1.8, -2.04, -2.37, -3.09, 
## -1.8, -1.79, -1.79, -1.59, -1.49, -1.18, -1.08, -0.79, -0.81, 
## -0.86, -1.04, -2.08, -2.29, -2.5, -2.75, -3.02, -2.65, -2.15, 
## -2.01, -1.72, -1.6, -1.55, -1.32, -1.3, -1.54, -1.57, -1.85, 
## -1.92, -2.02, -2.1, -2.15, -2.19, -2.16, -2.1, -2.24, -2.24, 
## -2.34, -2.47, -2.54, -2.62, -2.86, -3, -2.43, -2.36, -2.25, -2.08, 
## -3.83, -4.14, -4.24, -4.11, -4.03, -3.45, -3.39, -3.32, -3.26, 
## -3.27, -3.43, -3.48, -3.57, -3.49, -3.44, -3.43, -3.42, -3.35, 
## -3.22, -3.16, -3.13, -3.11, -3.19, -3.14, -3.13, -3.01, -2.84, 
## -2.76, -2.78, -2.83, -3.01, -3.17, -3.28, -3.33, -3.55, -3.54, 
## -3.54, -3.53, -3.28, -3.05, -2.77, -2.54, -2.4, -2.39, -2.3, 
## -2.27, -2, -1.97, -1.91, -1.97, -2, -2.24, -2.39, -2.51, -2.58, 
## -3.09, -3.41, -3.52, -3.58, -3.68, -3.76, -3.75, -3.63, -3.09, 
## -3.06, -2.96, -2.88, -3, -3.1, -3.2, -3.33, -3.42, -3.62, -4.01, 
## -3.97, -3.93, -3.85, -3.87, -3.9, -3.98, -4.09, -4.62, -4.36, 
## -4.24, -4.14, -3.88, -3.8, -3.79, -3.84, -3.98, -4.61, -4.6, 
## -4.52, -3.98, -3.89, -3.64, -3.62, -3.69, -3.69, -3.67, -3.62, 
## -3.58, -3.56, -3.55, -3.6, -3.6, -3.56, -3.63, -3.66, -3.69, 
## -3.84, -4.02, -4.06, -4.08, -4.01, -3.44, -3.56, -3.6, -3.59, 
## -3.6, -3.73, -3.75, -4.59, -4.69, -4.72, -4.83, -4.7, -4.6, -4.63, 
## -4.61, -4.63, -4.65, -4.69, -4.61, -4.42, -4.41, -4.36, -4.32, 
## -4.32, -4.28, -4.04, 178, 178, 178, 178, 178, 178, 178, 178, 
## 178, 178, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 
## 178, 177, 177, 177, 176, 176, 175, 175, 174, 172, 171, 171, 171, 
## 169, 169, 169, 168, 168, 168, 168, 167, 167, 167, 167, 166, 166, 
## 166, 165, 165, 165, 165, 165, 164, 164, 164, 164, 164, 164, 164, 
## 164, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 162, 162, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 160, 160, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, -2.95, -2.78, -2.75, 
## -3.13, -3.24, -3.51, -3.56, -3.74, -3.75, -3.72, -3.74, -3.56, 
## -3.67, 161, 161, 161, 161, 161, 161, 161, 161, 166, 166, 166, 
## 165, 164, 163, 163, 162, 161, 162, 162, 162, 163, 163, 163, 164, 
## 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 164, 164, 164, 
## 164, 163, 163, 163, 163, 163, 162, 161, 161, 160, 160, 160, 160, 
## 160, 160, 161, 161, 162, 164, 164, 164, 165, 165, 167, 168, 170, 
## 170, 170, 170, 169, 169, 168, 168, 167, 166, 166, 164, 163, 162, 
## 162, 160, 159, 159, 159, 160, 160, 162, 162, 162, 162, 162, 161, 
## 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 162, 162, 162, 162, 162, 162, 162, 
## 162, 163, 163, 163, 164, 165, 165, 165, 167, 168, 168, 168, 168, 
## 168, 168, 168, 168, 168, 168, 169, 169, 169, 169, 169, 169, 169, 
## 169, 169, 169, 170, 170, 170, 169, 169, 169, 169, 169, 170, 170, 
## 170, 170, 170, 170, 171, 171, 171, 171, 171, 171, 171, 171, 171, 
## 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 
## 172, 172, 173, 173, 173, 173, 173, 173, 173, 172, 172, 172, 172, 
## 172, 172, 172, 172, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 174, 174, 174, 174, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 173, 173, 
## 174, 173, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 
## 174, 175, 175, 175, 174, 174, 174, 173, 173, 173, 173, 174, 173, 
## 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 
## 174, 174, 174, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 174, 174, 174, 173, 173, 173, 173, 173, 
## 173, 174, 174, 174, 174, 174, 174, 174, 174, 173, 174, 174, 174, 
## 174, 174, 173, 173, 173, 173, 174, 174, 174, 173, 173, 172, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 174, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 173, 173, 173, 173, 173, 173, 
## 173, 172, 172, 172, 172, 172, 172, 172, 171, 171, 171, 171, 171, 
## 171, 172, 172, -87.8, -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -88, -88, -88, -88, 
## -88.1, -88, -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88, -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.9, -87.9, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -87.9, -87.9, -87.9, -88, -88, -87.9, -87.9, -87.8, 
## -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, -87.7, 
## -87.7, -87.7, -87.5, -87.4, -87.3, -87.3, -87.3, -87.3, -87.4, 
## -87.4, -87.4, -87.5, -87.5, -87.5, -87.5, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, -87.7, 
## -87.7, -87.6, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.8, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, -87.7, -87.7, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, 
## -87.5, -87.6, -87.6, -87.6, -87.6, -87.3, -87.3, -87.3, -87.3, 
## -87.3, -87.4, -87.4, -87.4, -87.6, -87.6, -87.6, -87.5, -87.4, 
## -87.3, -87.3, -87.4, -87.3, -87.3, -87.2, -87.2, -87.2, -87.2, 
## -87.1, -87.1, -87.2, -87.2, -87.3, -87.3, -87.3, -87.3, -87.4, 
## -87.4, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.8, -87.8, -87.7, -87.6, -87.6, -87.6, -87.6, -87.8, 
## -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.6, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.8, -87.8, -87.8, -87.8, -87.9, -88, -88, -88, -88, -88, -88, 
## -88.1, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.3, -88.2, -88.2, -88.2, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.1, -88.1, -88.1, -88.1, -88.2, -88.4, -88.5, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.7, -88.7, -88.7, -88.8, -88.8, -88.8, -88.8, -88.8, 
## -88.8, -88.8, -88.8, -88.8, -88.9, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -89, -89, -89.1, -89.1, -89.1, -89, -89, -88.9, 
## -88.9, -88.8, -88.7, -88.7, -88.7, -88.7, -88.8, -88.8, -88.6, 
## -88.6, -88.6, -88.8, -88.9, -89.1, -89.1, -89.1, -89.2, -89.2, 
## -89.3, -89.3, -89.2, -89.2, -89.4, -89.4, -89.6, -89.6, -89.5, 
## -89.3, -89.3, -89.2, -89.2, -89.2, -89.1, -89.1, -88.9, -88.9, 
## -88.8, -88.8, -88.9, -88.9, -88.9, -88.8, -88.7, -88.7, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.9, -87.9, -87.9, -88, -88, -88, -88, -88, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -88, -88.1, -88.1, -88.2, 
## -88.2, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.4, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.2, 
## -88.3, -88.3, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88, 
## -88, -88, -88, -88, -88, -87.9, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88.1, -88, 
## -88, -88.1, -88.1, -88, -88, -88.1, -88, -88, -88.1, -88.1, -88, 
## -88, -88.1, -88.1, -88.1, -88.1, -88, -88, -88, -88, -88.1, -88.1, 
## -88.1, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.9, -93.9, -93.9, -93.9, -93.9, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.7, 
## -93.7, -93.7, -93.7, -93.8, -93.8, -93.7, -93.7, -93.8, -93.8, 
## -93.8, -94, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94, -93.9, 
## -93.9, -93.9, -93.9, -94, -94, -94, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94.1, -94, -94, -94, -94, -94, -93.9, -93.9, -93.9, -93.9, 
## -93.9, -93.9, -93.7, -93.7, -93.7, -93.7, -93.8, -93.9, -93.9, 
## -93.9, -94, -94.1, -94.1, -94.1, -94.2, -94.2, -94.2, -93.9, 
## -93.9, -93.9, -93.9, -93.9, -94, -94, -94, -94, -94, -93.9, -93.8, 
## -93.8, -93.8, -93.7, -93.7, -93.6, -93.6, -93.6, -93.7, -93.8, 
## -93.9, -93.9, -94, -94, -94, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94.1, -94.1, -94.1, -94, -94, -93.9, -93.9, -93.9, -93.9, 
## -93.9, -93.9, -94, -93.9, -93.9, -93.9, -93.9, -93.9, -93.8, 
## -93.8, -93.8, -93.8, -93.7, -93.7, -93.7, -93.5, -93.5, -93.5, 
## -93.4, -93.4, -93.6, -93.6, -93.6, -93.6, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.8, -93.7, -93.7, -93.5, -93.5, -93.6, 
## -93.7, -93.6, -93.6, -93.6, -93.5, -93.5, -93.5, -93.5, -93.5, 
## -93.5, -93.5, -93.5, -93.4, -93.3, -93.3, -93.3, -93.3, -93.2, 
## -93.3, -93.3, -93.4, -93.6, -93.6, -93.6, -93.6, -93.7, -93.7, 
## -93.7, -93.7, -93.6, -93.6, -93.6, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.8, -93.8, -93.8, -93.7, -93.6, -93.6, -93.7, -93.7, 
## -93.8, -93.6, -93.6, -93.5, -93.5, -93.5, -93.7, -93.7, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.7, -93.6, -93.6, 
## -93.7, -93.7, -93.7, -93.8, -93.8, -93.8, -93.8, -93.8, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.6, -93.5, -93.5, 
## -93.5, -93.5, -93.5, -93.6, -93.6, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.6, -93.6, -93.6, -93.6, 
## -93.5, -93.6, -93.5, -93.5, -93.5, -93.5, -93.6, -93.6, -93.6, 
## -93.5, -93.4, -93.4, -93.4, -93.5, -93.5, -93.4, -93.4, -93.4, 
## -93.4, -93.4, -93.4, -93.3, -93.3, -93.2, -93.2, -93.2, -93.2, 
## -93.3, -93.3, -93.2, -93.2, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.2, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.2, -93.2, -93.2, -93.3, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.2, -93.2, -93.2, -93.3, -93.2, -93.2, -93, -92.8, 
## -92.8, -92.7, -92.7, -92.7, -92.7, -92.8, -92.8, -92.9, -92.9, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.2, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.2, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93, -93, -93, -93, -93, -93, -93, -93, 
## -93, -93, -92.9, -92.8, -92.7, -88, -87.9, -88, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88.1, -88.1, -88, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -88, -87.9, -88, -88, -88, 
## -88, -88.1, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.2, -88.2, -88.2, -88.2, -88.1, -88.1, -88.1, -88.1, 
## -88.2, -88.3, -88.3, -88.4, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88, -88, -88, -88.1, -88, -88, -88, -88, -87.9, -87.9, -87.9, 
## -87.8, -87.8, -87.9, -88, -87.9, -87.8, -87.8, -87.6, -87.7, 
## -87.8, -87.8, -88.1, -88.1, -87.8, -87.6, -87.6, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.6, -87.6, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.7, -87.7, -87.7, -87.8, 
## -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, 
## -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.9, -87.8, -87.7, -87.7, -87.8, -87.7, 
## -87.8, -87.8, -87.8, -87.8, -87.9, -88, -88, -88, -88.1, -88.2, 
## -88.2, -88.3, -88.3, -88.3, -88.3, -88.2, -88.1, -88, -88, -87.9, 
## -87.9, -88, -88, -88, -88, -88.1, -88.1, -88.1, -88, -88, -88, 
## -87.9, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, 
## -88, -88, -88.1, -88.1, -88.1, -88, -87.9, -87.9, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -88, -88.1, -88.2, 
## -88.1, -88, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.8, -87.8, -87.9, -87.9, -87.9, -88, -88, -88, -88, -88, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, -88, -88.1, -88.2, 
## -88.3, -88.5, -88.5, -88.5, -88.5, -88.4, -88.4, -88.4, -88.4, 
## -88.5, -88.5, -88.4, -88.4, -88.4, -88.4, -88.4, -88.5, -88.5, 
## -88.6, -88.8, -88.9, -89.1, -89.2, -89.3, -89.3, -89.4, -89.4, 
## -89.4, -89.3, -89.3, -89.2, -89.2, -89.2, -89.1, -89.1, -89, 
## -89, -89, -89, -89, -89.2, -89.2, -89.2, -89.1, -89, -89, -89, 
## -89, -89, -89, -89, -89, -89, -89, -89.1, -89.1, -89.1, -89.2, 
## -89.2, -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, -89, -89, -88.9, 
## -88.8, -88.8, -88.9, -88.9, -89.1, -89, -88.6, -88.7, -88.7, 
## -88.7, -88.7, -88.8, -88.8, -89, -89, -89, -89.1, -89.1, -89.1, 
## -89.1, -89.2, -89.2, -89.2, -89.2, -89.2, -89.2, -89, -88.8, 
## -88.7, -88.7, -88.6, -88.6, -88.6, -88.7, -88.7, -88.6, -88.6, 
## -88.5, -88.5, -88.5, -88.6, -88.6, -88.5, -88.5, -88.5, -88.5, 
## -88.5, -88.6, -88.6, -88.6, -88.6, -88.5, -88.5, -88.5, -88.5, 
## -88.6, -88.5, -88.5, -88.3, -88.3, -88.2, -88.2, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.2, -88.3, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.5, -87.5, -87.5, -87.4, 
## -87.5, -87.5, -87.6, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.8, -87.8, 172, 172, 172, 172, 172, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 173, 173, 172, 173, 173, 173, 
## 173, 173, 173, 173, 172, 172, 172, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 172, 172, 173, 
## 173, 173, 173, 170, 170, 170, 170, 170, 170, 170, 170, 170, 171, 
## 171, 171, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 167, 
## 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 
## 167, 167, 167, 166, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 3.73, 3.56, 3.34, 3, 2.82, 1.77, 1.63, 0.78, -0.65, -0.87, -1.13, 
## -1.19, -1.27, -1.28, -1.37, -1.36, -15.1, -15.1, -15, -14.9, 
## -14.5, -12.2, -11.7, -11.3, -11.8, -11.8, -11.6, -12.6, -12.8, 
## -12.8, -12.9, -13.1, -12.9, -12.6, -12.2, -12, -12.1, -12.1, 
## -12.1, -12.1, -12, -12, -12, -12.4, -12.6, -12.7, -11.8, -11, 
## -6.05, -4.57, -2.44, -6.42, -7.64, -8.21, -8.83, -9.37, -10, 
## -13.3, -13.5, -13.6, -13.6, -13.8, -13.8, -13.8, -13.8, -13.8, 
## -13.7, -13.6, -13.5, -13.2, -13.1, -13, -13, -12.1, -11.9, -11.9, 
## -11.8, -11.8, -11.9, -12.8, -13, -14.8, -15.4, -16.2, -16.6, 
## -17.1, -18.1, -18.2, -18.3, -18.5, -18.7, -18.3, -18.1, -18.1, 
## -18.1, -18.1, -18, -17.9, -17.9, -17.9, -17.8, -17.4, -17.3, 
## -17.3, -17.2, -15.5, -16.4, -16.7, -16.6, -16.4, -16.2, -16, 
## -15.9, -15.7, -15.6, -15, -14.9, -14.7, -14.6, -14.5, -14.5, 
## -14.4, -14.4, -14.3, -14.3, -14.3, -14.5, -14.6, -15.2, -15.4, 
## -15.7, -15.6, -15.7, -15.6, -15.4, -15.3, -14.3, -13.4, -13.3, 
## -13.3, -13.9, -14, -14.1, -14.3, -14.3, -14.2, -14.4, -14.6, 
## -14.4, -14.2, -14.1, -13.8, -13.7, -13.1, -13, -12.9, -12.7, 
## -12.5, -12.4, -12.2, -12, -12.1, -12.2, -11.8, -11.8, -11.8, 
## -11.6, -11.5, -11.5, -11.6, -11.6, -11.6, -11.9, -12, -12, -11.9, 
## -11.4, -11.2, -11.1, -10.4, -11.5, -11.3, -11, -10.2, -9.92, 
## -9.8, -9.75, -9.72, -9.68, -9.65, -9.77, -9.94, -9.99, -9.84, 
## -9.73, -9.39, -9.2, -9.1, -9.07, -9.27, -9.29, -9.26, -9.07, 
## -9.01, -8.97, -8.9, -8.59, -8.05, -7.77, -7.02, -6.58, -6.57, 
## -6.58, -6.59, -6.71, -6.74, -6.79, -6.77, -6.94, -6.97, -6.92, 
## -6.85, -6.29, -6.02, -5.4, -4.9, -4.33, -4.2, -4.1, -3.89, -3.86, 
## -4.38, -4.51, -4.82, -4.9, -4.85, -4.89, -4.88, -4.71, -4.71, 
## -4.71, -4.72, -4.64, -4.64, -4.65, -4.6, -4.5, -4.33, -4.26, 
## -4.07, -4, -3.83, -3.66, -3.2, -2.55, -2.48, -2.44, -2.23, -2.17, 
## -2.06, -2.15, -2.47, -2.44, -2.45, -2.46, -1.71, -1.7, -1.63, 
## -1.65, -1.59, -1.8, -1.88, -1.87, -1.47, -1.27, -1.32, -1.3, 
## -1.16, -1.21, -1.31, -0.73, -0.37, -0.02, 0.51, 0.4, 0.27, 0.04, 
## -0.08, -0.21, -0.41, -0.35, -0.17, -0.22, -0.24, -0.36, -0.59, 
## -0.68, -0.78, -0.5, -0.04, 0.06, 0.03, 0.18, 0.23, 0.13, -0.02, 
## -0.19, -0.21, -0.18, -0.21, -0.12, 0.01, 0.4, 1, 0.97, 1.19, 
## 1.57, 1.66, 2.17, 2.01, 1.75, 1.18, 1.19, 1.3, 1.41, 1.44, 1.49, 
## 1.5, 1.56, 1.6, 2.5, 2.96, 2.98, 2.96, 2.97, 2.87, 2.3, 1.88, 
## 1.65, 1.53, 1.47, 1.18, 1.12, 1.08, 0.93, 1.67, 1.43, 1.6, 1.93, 
## 1.98, 2.08, 2.13, 2.19, 1.21, 0.38, 0.37, 0.56, 0.7, 0.82, 0.91, 
## 0.96, 0.92, 0.89, 0.76, 0.67, 0.63, 0.71, 0.84, 0.94, 1.22, 1.37, 
## 1.78, 1.85, 1.89, 1.9, 1.89, 1.89, 1.93, 2.02, 1.89, 1.87, 1.52, 
## 1, 0.92, 0.68, 0.59, 0.52, 0.61, 0.73, 0.6, 0.76, 0.78, 0.82, 
## 1.03, 1.01, 0.99, 0.95, 0.84, 0.73, 0.64, 0.53, 0.4, 0.4, 0.47, 
## 0.6, 0.6, 0.53, 0.46, 0.52, 0.43, 0.37, 0.15, -0.06, -0.11, 0.13, 
## 1.23, 0.4, 0.37, 0.39, 0.29, 0.01, -0.07, -0.31, -0.28, -0.28, 
## -0.3, -0.18, -0.23, -0.26, -0.38, -0.4, -0.38, -0.44, -0.51, 
## -0.55, -0.65, -0.61, -0.69, 172, 172, 172, 172, 172, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 172, 172, 171, 171, 171, 172, 
## 172, 172, 172, 172, 173, 172, 172, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 
## 174, 173, 174, 174, 174, 174, 174, 174, 0.74, 0.86, 0.77, 0.64, 
## 0.55, 0.38, 0.21, 0.37, 0.51, 0.71, 0.94, 1.22, -0.52, -0.39, 
## -0.47, -0.66, -0.71, -0.75, -0.87, -0.94, -0.91, -0.98, -0.92, 
## -0.93, -0.95, -0.95, -1.16, -1.17, -1.21, -1.12, -1.1, -1.18, 
## -1.17, -10.1, -9.92, -10.1, -10.2, -10.6, -10.6, -11, -11.7, 
## -11.7, -11.7, -11.7, -11.6, -12.9, -13.1, -13.2, -13.4, -13.4, 
## -13.4, -13.3, -13.3, -13.2, -12.5, -11.6, -11.5, -11.5, -11.4, 
## -17, -16.9, -16.4, -16.3, -15.9, -15.8, -15.7, -15.5, -15.4, 
## -15.3, -15.3, -2.4, -2.77, -3.9, -4.48, -6.15, -7.21, -8.14, 
## -10.8, -14.8, -14.9, -15.1, -15.2, -15.4, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.2, -88.2, -88.1, -88.1, 
## -88.1, -88.1, -88.2, -88.4, -88.4, -88.4, -88.4, -88.3, -88.2, 
## -88.2, -87.7, -87.7, -87.6, -87.6, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.7, -87.7, -87.4, -87.4, -87.4, -87.4, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, -87.4, -87.5, -87.5, 
## -87.5, -87.6, -87.6, -87.6, -87.4, -87.4, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.3, -87.3, -87.3, 
## -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -88, -88, -88, -88, -88.1, -88.1, -88.2, -88.1, -87.6, -87.6, 
## -87.5, -87.4, -87.4, -87.4, -87.4, -87.5, -87.6, -87.7, -87.7, 
## -87.7, -87.7, -87.6, -87.6, -87.6, -87.5, -87.5, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.5, -87.5, -87.5, -87.4, -87.5, 
## -4.38, -4.71, -4.99, -4.99, -5.01, -4.37, -3.56, -3.51, -3.34, 
## -3.64, -3.74, -4.37, -4.48, -4.52, -3.72, -3.99, -4.25, -4.49, 
## -4.73, -5.01, -5.07, -5.15, -5.19, -4.44, -3.79, -4.99, -5.12, 
## -5.2, -4.9, -4.1, -3.83, -3.87, -4.04, -4.31, -2.98, -2.69, -2.34, 
## -2.29, -2.18, -1.85, -3.13, -3.21, -2.24, -2.07, -1.98, -2, -2.02, 
## -2.09, -2.14, -2.3, -2.11, -2.09, -2.02, -2.09, -2.12, 1.8, 1.67, 
## -93.5, -93.4, -93.5, -93.6, -93.6, -93.6, -93.5, -93.5, -93.5, 
## -93.5, -93.4, -93.4, -93.5, -93.5, -93.5, -93.5, -3.91, -3.66, 
## -3.47, -3.38, -2.96, -2.71, -2.65, -3.01, -3.43, -3.55, -3.71, 
## -3.88, -3.9, -4.19, -4.16, -4, -3.64, -2.57, -2.3, -1.63, -1.34, 
## -1.08, -1.49, -1.49, -1.3, -1.25, -1.03, -0.78, -0.76, -0.27, 
## -0.21, -0.15, -0.32, -0.37, -0.85, -1.31, -1.42, -1.59, -1.76, 
## -2.28, -2.81, -3.4, -3.56, -3.94, -3.9, -3.75, -3.43, -3.3, -2.91, 
## -2.86, -2.84, -3.19, -3.78, -3.95, -4.03, -4.11, -4.24, -5.11, 
## -5.31, -5.64, -6.06, -6.17, -6.32, -7.29, -7.61, -7.63, -7.03, 
## -6.66, -6.47, -6.27, -5.97, -5.84, -5.43, -5.25, -4.9, -4.71, 
## -4.75, -4.83, -4.83, -4.79, -4.72, -4.35, -4.27, -4.18, -4.47, 
## -4.75, -4.76, -4.7, -4.55, -4.31, -3.99, -4.05, -4.15, -4.74, 
## -6.13, -6.98, -7.1, -7.14, -7.07, -7, -6.87, -6.58, -6.41, -4.76, 
## -6.39, -6.41, -5.13, -4.74, -4.75, -4.77, -4.85, -4.88, -4.92, 
## -5.09, -5.2, -5.19, -5.18, -5.79, -6.56, -6.96, -6.53, -6.24, 
## -6.03, -5.29, -3.39, -3.49, -3.91, -4.29, -4.58, -4.58, -4.43, 
## -4.37, -4.48, -4.56, -5.37, -5.45, -5.41, -5.33, -5.28, -5.22, 
## -5.82, -5.97, -5.5, -4.87, -4.02, -3.8, -2.96, -3.13, -3.21, 
## -3.52, -4.11, -4.1, -3.63, -3.4, -3.27, -3.25, -4.33, -4.86, 
## -6.24, -6.66, -6.41, -6.01, -5.76, -4.85, -4.34, -3.25, -2.89, 
## -3.01, -3.65, -3.79, -3.8, -3.21, -3.26, -3.25, -3.35, -3.47, 
## -3.71, -3.89, -4.01, -4.1, -4.15, -6.19, -7.66, -8.4, -8.76, 
## -9.13, -9.45, -10.4, -10.2, -9.19, -8.46, -4.67, -5.08, -4.11, 
## -8.76, -8.75, -8.08, -7.01, -6.1, -5.84, -5.54, -5.29, -4.93, 
## -5.12, -5.82, -6.13, -6.43, -6.44, -6.38, -5.31, -5.02, -4.9, 
## -4.79, -4.79, -4.4, -4.27, -4.2, -4.21, -4.19, -4.11, -4.05, 
## -4.06, -4.11, -4.23, -5.84, -6.36, -7, -5.48, -5.18, -4.13, -3.77, 
## -2.95, -2.3, -1.75, -1.54, -1.97, -2.1, -2.17, -2.44, -2.67, 
## -2.84, -3.08, -3.19, -3.15, -3.04, -2.71, -2.02, -1.79, -92.7, 
## -88.7, -88.8, -88.8, -88.9, -88.9, -89, -88.6, -88.6, -88.5, 
## -88.4, -88.2, -88.3, -88.3, -88.4, -88.4, -88.4, -88.5, -88.5, 
## -88.5, -88.5, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.7, -88.7, -88.8, -88.9, -89, -89, -89, -89.1, -89.1, -89.1, 
## -89.1, -89.1, -89.1, -89.1, -89.2, -89.2, -89.2, -89.2, -89.2, 
## -89.1, -89.1, -89, -89, -89, -89, -89, -89.1, -89.1, -89.1, -89.1, 
## -89.1, -89.1, -89, -89, -89.1, -89.1, -89, -89, -89, -88.9, -88.7, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.5, -88.5, -88.5, -88.4, 
## -88.4, -88.3, -88.3, -88.3, -88.3, -88.3, -88.2, -88.3, -88.3, 
## -88.3, -88.2, -88.2, -88.3, -88.3, -88.2, -88.2, -88.2, -88.2, 
## -88.3, -88.3, -88.3, -88.2, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.5, -88.7, -88.8, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, 
## -88.8, -88.8, -88.7, -88.6, -88.6, -88.6, -88.5, -88.5, -88.4, 
## -88.5, -88.5, -88.5, -88.5, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.2, -88.3, -88.3, -88.4, -88.4, -88.4, -88.4, -88.5, 
## -88.5, -88.6, -88.7, -88.7, -88.7, -88.5, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.4, -88.4, -88.4, -88.4, -88.5, -88.4, -88.4, 
## -88.4, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.4, 
## -88.4, -88.5, -88.5, -88.5, -88.5, -88.6, -88.6, -88.6, -88.8, 
## -88.8, -88.9, -88.9, -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, 
## -89.1, -89, -89, -89, -88.9, -88.8, -88.8, -88.8, -88.7, -88.6, 
## -88.6, -88.6, -88.6, -88.7, -88.6, -88.6, -88.4, -88.7, -88.8, 
## -88.8, -88.8, -88.9, -88.9, -88.9, -89, -89, -89, -89.2, -89.2, 
## -89.3, -89.3, -89.3, -89.3, -89.2, -89.2, -89.1, -89.1, -89, 
## -88.9, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, 
## -88.6, -88.6, -88.6, -88.6, -88.5, -88.5, -88.5, -88.6, -88.6, 
## -88.5, -88.5, -88.5, -88.3, -88.4, -88.3, -88.1, -88.1, -88.1, 
## -88.2, -88.2, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.3, -88.3, -88.4, 
## -88.5, -92.6, -92.5, -92.5, -92.5, -92.4, -92.4, -92.4, -92.4, 
## -92.4, -92.5, -92.4, -92.4, -92.4, -92.4, -92.4, -92.4, -92.4, 
## -92.4, -92.4, -92.3, -92.3, -92.3, -92.4, -92.4, -92.4, -92.4, 
## -92.4, -92.4, -92.5, -92.5, -92.5, -92.6, -92.5, -92.5, -92.5, 
## -92.6, -92.6, -92.6, -92.6, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.6, -92.7, -92.6, -92.6, -92.6, -92.7, -92.6, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.6, -92.6, -92.7, 
## -92.6, -92.7, -92.7, -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.8, -92.8, -92.8, -92.9, -92.9, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, -92.6, 
## -92.6, -92.6, -92.6, -92.6, -92.6, -92.6, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.8, 
## -92.8, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.8, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.6, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.9, -92.8, -92.8, -92.7, -92.7, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.9, -92.9, -93, -93.1, -93.1, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.4, -93.4, -93.3, -93.3, -93.3, -92.8, -92.8, 
## -92.8, -92.9, -92.9, -92.9, -93, -93, -93, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93, -93.1, -93.1, -93.1, -93.1, -93.1, -93.2, 
## -93.2, -93.2, -93.1, -93.1, -93.2, -93.2, -93.2, -93.2, -93.2, 
## -93.1, -93.1, -93.1, -93.1, -93, -93, -93, -93, -93, -93, -93.1, 
## -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -92.3, -92.2, -92.2, 
## -92.2, -92.1, -92, -91.9, -91.9, -91.8, -91.8, -91.8, -91.7, 
## -91.7, -91.6, -91.5, -91.5, -91.5, -91.3, -91.3, -91.2, -90.9, 
## -90.8, -90.8, -90.8, -90.7, -90.7, -90.5, -90.5, -90.5, -90.4, 
## -90.4, -90.4, -90.3, -90.3, -90.3, -90.2, -90.2, -90.2, -90.1, 
## -90, -90, -90.1, -90.2, -90.3, -90.4, -90.5, -88.2, -88.2, -88.2, 
## -88.2, -88.3, -88.4, -88.4, -88.5, -88.5, -88.5, -88.5, -88.6, 
## -88.6, -88.5, -88.4, -88.4, -88.4, -88.1, -88.1, -88.1, -88, 
## -88.3, -88.5, -88.5, -88.5, -88.3, -88, -87.9, -87.9, -87.9, 
## -88.1, -88.1, -88.5, -88.5, -88.6, -88.6, -88.5, -88.4, -88.3, 
## -88.3, -88.2, -88.2, -88.2, -88.4, -88.3, -88.1, -88.1, -87.9, 
## -87.9, -87.9, -88, -88.1, -88.2, -88.2, -88.2, -88.4, -88.4, 
## -88.3, -88, -87.9, -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, 
## -87.9, -87.9, -87.9, -88.2, -88.2, -88.2, -88.2, -88.1, -87.9, 
## -87.9, -87.8, -87.8, -87.9, -88, -88, -88.1, -88.2, -88.1, -88.1, 
## -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -88, -88, -88.1, -88.1, 
## -88, -87.9, -87.9, -87.8, -87.7, -87.8, -87.9, -87.9, -88, -88, 
## -88.1, -88.1, -87.9, -87.7, -87.7, -87.7, -87.6, -87.7, -88, 
## -88, -88.1, -88.1, -88.1, -88.2, -88.1, -88, -88, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -87.7, -87.6, -87.5, 
## -87.6, -87.6, -87.7, -87.8, -87.6, -87.3, -87.1, -87.1, -87.2, 
## -87.2, -87.2, -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, 
## -87.2, -87.1, -87, -87, -87, -87.1, -87.3, -87.4, -87.6, -87.6, 
## -87.5, -87.5, -87.4, -87.3, -87.2, -87.1, -87.1, -87, -86.9, 
## -86.9, -86.8, -86.8, -87, -87, -86.9, -86.9, -87, -87.1, -86.9, 
## -86.9, -87, -87.1, -87.1, -87.4, -87.4, -87.3, -87.3, -87.1, 
## -87, -87, -86.9, -86.9, -87, -87.2, -88.1, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.3, -88.3, -88.3, -88.4, -88.4, -88.4, -88.4, 
## -88.3, -88, -88, 168, 168, 168, 168, 169, 169, 169, 168, 168, 
## 168, 167, 167, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 165, 
## 165, 164, 164, 165, 165, 164, 164, 164, 164, 164, 164, 164, 165, 
## 165, 164, 164, 164, 164, 164, 165, 165, 165, 164, 164, 164, 164, 
## 165, 165, 164, 164, 164, 164, 165, 165, 165, 165, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 
## 164, 164, 164, 164, 163, 163, 163, 163, 163, 163, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 163, 163, 163, 163, 163, 163, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 165, 165, 164, 164, 164, 165, 165, 164, 
## 164, 164, 164, 164, 164, 164, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 164, 164, 164, 164, 164, 164, 164, 164, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 166, 166, 166, 
## 166, 166, 166, 165, 165, 165, 165, 165, 166, 166, 166, 166, 165, 
## 165, 164, 164, 164, 163, 163, 163, 163, 164, 164, 164, 164, 164, 
## 164, 165, 165, 165, 165, 166, 165, 166, 166, 167, 168, 169, 170, 
## 172, 173, 174, 175, 177, -179, -178, -178, -178, -176, -176, 
## -176, -175, -175, -175, -175, -174, -174, -174, -173, -174, -174, 
## -175, -175, -176, -177, -178, -178, -179, -179, -179, 178, 177, 
## 175, 167, 163, 163, 163, 163, 163, 163, 163, 164, 165, 165, 166, 
## 166, 167, 169, 169, 169, 169, 169, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 163, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 163, 163, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 163, 163, 163, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 167, 167, 167, 167, 167, 167, 
## 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 166, 168, 
## 168, 168, 167, 167, 167, 167, 167, 167, 172, 172, 171, 172, 172, 
## 172, 172, 172, 171, 170, 169, 169, 169, 168, 168, 168, 168, -1.45, 
## -1.67, -1.94, -2.06, -2.01, -2.04, -2.17, -2.12, -2.11, -2.18, 
## -2.28, -2.54, -2.76, -4.19, -4.44, -4.74, -5.07, -6.43, -6.38, 
## -6.33, -6.25, -5.62, -4.69, -4.62, -4.9, -5.04, -5.59, -5.58, 
## -5.55, -5.53, -5.48, -5.52, -5.55, -5.37, -5.25, -5.19, -4.94, 
## -4.84, -4.74, -4.58, -4.49, -4.76, -4.99, -5.1, -5.38, -6.08, 
## -6.72, -7.02, -7.13, -7.32, -8.13, -8.23, -8.32, -8.57, -8.62, 
## -8.66, -8.48, -8.41, -8.21, -8.17, -8.11, -8.1, -8.07, -7.8, 
## -7.74, -7.59, -7.32, -7.23, -6.81, -6.62, -6.5, -6.19, -6.71, 
## -6.73, -6.74, -6.68, -6.44, -6.38, -6.41, -5.64, -5.54, -5.26, 
## -5.07, -4.95, -4.96, -6.07, -6.29, -6.64, -7.26, -7.07, -7.09, 
## -7.16, -7.27, -7.46, -7.7, -7.69, -7.54, -7.45, -7.26, -7.09, 
## -7.05, -7.13, -6.99, -6.77, -6.51, -6.42, -6.23, -5.95, -5.81, 
## -5.7, -5.64, -5.54, -5.53, -5.56, -5.58, -5.53, -4.57, -5.22, 
## -5.36, -5.85, -6.35, -6.72, -7.24, -7.46, -7.57, -7.87, -7.89, 
## -7.95, -7.93, -7.82, -7.52, -7.39, -7.29, -7.32, -7.25, -7.11, 
## -4.72, -4.77, -4.86, -4.96, -5.06, -5.03, -4.53, -4.52, -4.38, 
## -3.69, -3.01, -3.14, -3.18, -3.41, -3.46, -3.43, -3.57, -3.78, 
## -3.96, -4.17, -4.22, -4.32, -4.54, -4.52, -4.51, -4.47, -4.49, 
## -4.46, -4.48, -4.5, -4.55, -4.59, -4.59, -4.46, -4.23, -4.32, 
## -4.55, -4.63, -4.72, -4.75, -4.99, -4.98, -5.09, -5.12, -4.87, 
## -4.7, -4.57, -4.43, -4.35, -3.95, -3.67, -3.72, -3.73, -4.19, 
## -4.29, -4.71, -5.04, -4.94, -4.97, -5.08, -5.12, -5.2, -5.24, 
## -5.28, -5.54, -5.71, -5.92, -5.92, -5.84, -5.54, -5.5, -5.38, 
## -5.69, -5.78, -5.78, -5.78, -5.67, -5.64, -5.49, -5.33, -5.01, 
## -4.73, -4.95, -5.23, -6.23, -6.4, -6.92, -6.99, -7.03, -7.31, 
## -7.35, -7.48, -8.02, -7.83, -7.36, -6.79, -5.98, -5.85, -5.56, 
## -6.01, -6.19, -6.75, -7.2, -7.31, -7.26, -7.3, -7.3, -5.04, -4.84, 
## -4.65, -4.14, -3.56, -3.55, -3.7, -3.8, -3.87, -3.89, -4.18, 
## -4.61, -4.74, -5.07, -5.52, -5.87, -6.18, -6.62, -6.37, -6.24, 
## -5.89, -5.32, -5.11, -4.91, -4.52, -4.39, -4.59, -4.81, -5.51, 
## -5.53, -5.59, -5.88, -5.83, -5.79, -5.72, -5.66, -5.68, -5.65, 
## -5.65, -5.61, -5.67, -5.78, -6.02, -6.01, -6.05, -5.99, -5.82, 
## -5.76, -5.98, -6.02, -6.23, -6.39, -6.31, -5.6, -5.05, -5.06, 
## -5.01, -4.78, -4.61, -4.52, -4.08, -3.93, -3.82, -3.96, -4.09, 
## -4.57, -5.09, -5.47, -5.47, -5.53, -5.07, -4.87, -4.65, -4.47, 
## -4.36, -4.28, -4.19, -4.21, -4.26, -4.28, -4.44, -4.52, -4.47, 
## -4.32, -3.89, -3.73, -3.58, -3.52, -3.42, -3.35, -3.29, -3.42, 
## -3.49, -3.55, -3.57, -3.07, -2.16, -2.13, -2.24, -2.47, -3.09, 
## -3.32, -3.98, -5.18, -5.44, -6.44, -6.39, -6.32, -6.11, -6.02, 
## -5.97, -5.99, -5.98, -5.81, -5.8, -5.74, -5.8, -5.79, -5.72, 
## -5.62, -5.61, -5.48, -5.29, -4.92, -4.71, -4.59, -4.29, -4.28, 
## -4.38, -4.38, -4.48, -4.31, -4.27, -3.97, -3.9, -3.62, -3.4, 
## -3.3, -3.25, -3.17, -3.1, -3.14, -3.01, -2.9, -2.89, -2.84, -2.63, 
## 173, 173, 173, 168, 168, 168, 169, 169, 169, 169, 169, 169, 168, 
## 168, 168, 168, 168, 167, 167, 167, 167, 167, 168, 168, 168, 168, 
## 168, 168, 169, 169, 169, 169, 168, 168, 168, 168, 168, 168, 167, 
## 167, 167, 167, 167, 167, 168, 168, 168, 168, 168, 168, 168, 168, 
## 168, 168, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 
## 167, 167, 168, 168, 167, 167, 167, -5.71, -5.36, -4.54, -4.33, 
## -4.03, -4.1, -4.21, -4.57, -5.25, -5.46, -5.54, -5.87, -6.94, 
## -6.91, -6.81, -6.83, -6.8, -6.78, -6.72, -6.69, -6.84, -6.78, 
## -6.79, -6.86, -6.78, -6.61, -6.13, -5.96, -5.79, -5.6, -5, -4.82, 
## -4.53, -4.45, -4.48, -4.48, -4.52, -4.47, -4.44, -5.76, -6.08, 
## -6.19, -6.37, -6.61, -7.1, -6.55, -6.41, -5.17, -4.94, -4.78, 
## -4.75, -4.72, -4.66, -4.47, -5.08, -5.11, -5.17, -5.18, -6.1, 
## -6.27, -6.36, -6.38, -6.53, -6.54, -6.47, -6.46, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88, -88, -87.9, -87.4, 
## -87.5, -87.6, -87.7, -87.7, -87.8, -87.9, -88, -88, -88.1, -88, 
## -88, -88, -88, -88.1, -88.1, -88.1, -88.1, -88.1, -88, -87.8, 
## -87.7, -87.6, -87.5, -87.6, -87.7, -87.8, -87.9, -87.9, -88, 
## -88.3, -88.3, -88.2, -88.1, -88.1, -88, -87.9, -88, -88.1, -88.1, 
## -88.1, -88.3, -88.3, -88.3, -88.4, -87.9, -87.9, -88, -88, -88.1, 
## -88.1, -88.2, -88.3, -88.3, -88.4, -88.4, -88.5, -88.3, -88.3, 
## -88.2, -88.1, -88.1, -88, -88.1, -88.1, -88.2, -88.9, -89, -89, 
## -89.1, -89.1, -89, -89, -89, -89, -89, -89.1, -89.1, -89.2, -89.3, 
## -89.5, -89.5, -88.9, -88.9, -88.9, -88.9, -88.9, -88.8, -88.5, 
## -88.5, -88.5, -88.5, -88.5, -88.5, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.5, -88.4, -88.5, -88.5, -88.5, -88.5, -88.4, -88.4, 
## -88.4, -88.4, -88.3, -88.3, -88.3, -88.3, -88.4, -88.5, -88.5, 
## -88.5, -88.5, -88.4, -88.4, -88.5, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.3, -88.3, -89.3, -89.2, -89.1, -88.9, -88.8, -88.8, 
## -88.7, -88.7, -88.6, -88.6, -88.6, -88.6, -89.2, -89.3, -89.4, 
## -89.4, -89.4, -89.4, -89.5, -89.5, -89.5, -89.5, -89.4, -89.4, 
## -89.3, -89.3, -89.3, -4.82, -4.98, -5.05, -5.18, -5.24, -5.44, 
## -5.57, -5.96, -6.1, -6.46, -7.09, -7.73, -5.64, -5.99, -6.2, 
## -8.43, -8.77, -9.03, -9.54, -9.91, -9.75, -9.26, -7.22, -2.2, 
## -1.99, -2.05, -2.15, -2.63, -3.1, -2.98, -3, -90.8, -90.8, -90.5, 
## -90.5, -90.5, -90.6, -90.6, -90.7, -90.7, -90.7, -90.7, -90.7, 
## -90.8, -93.2, -93.1, -93.1, -93, -93, -93, -93, -93, -92.9, -92.9, 
## -92.8, -92.8, -92.7, -92.6, -92.5, -92.4, -92.3, -92.3, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -93.3, -93.3, -93.2, 
## -93.2, -93.2, -93.2, -93.2, -93.1, -93, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.7, -92.7, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.8, 
## -92.8, -92.7, -92.7, -92.7, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.6, -92.6, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.8, -92.8, -92.8, 
## -92.8, -92.7, -92.7, -92.7, -92.7, -92.8, -92.7, -92.7, -92.7, 
## -92.8, -0.78, -1.01, -1.12, -1.24, -1.4, -1.73, -2.22, -2.61, 
## -2.9, -2.96, -3.09, -3.22, -3.56, -3.79, -4.23, -4.14, -4.16, 
## -4.11, -4.09, -4.06, -3.71, -3.64, -3.7, -3.68, -3.29, -3.2, 
## -3.25, -3.33, -3.34, -3.25, -3.06, -2.84, -2.72, -2.68, -2.61, 
## -2.57, -2.57, -2.57, -2.54, -2.56, -3.23, -3.77, -3.91, -4.14, 
## -4.29, -4.38, -4.36, -4.32, -4.3, -4.27, -4.07, -4.08, -4.18, 
## -4.24, -4.27, -4.33, -4.32, -4.31, -4.29, -4.43, -4.37, -4.32, 
## -4.22, -4.2, -4.29, -4.38, -4.12, -3.79, -3.71, -3.37, -3.22, 
## -2.9, -2.88, -3.05, -3.14, -2.75, -2.87, -3.17, -3.23, -3.26, 
## -3.28, -3.21, -3.13, -3.03, -2.95, -2.88, -2.8, -2.83, -2.81, 
## -2.85, -2.83, -2.81, -2.85, -2.84, -2.78, -3.07, -3.13, -2.94, 
## -3.03, -3.18, -3.47, -3.58, -4.11, -4.25, -4.73, -4.79, -4.81, 
## -4.64, -4.63, -4.64, -4.64, -4.66, -4.3, -4.09, -4.07, -4.08, 
## -4.13, -4.2, -4.21, -4.36, -4.48, -4.46, -4.17, -4.07, -3.98, 
## -3.97, -3.91, -3.91, -3.84, -3.79, -4.24, -4.35, -4.47, -4.56, 
## -4.53, -4.67, -5.76, -6.26, -6.32, -6.36, -6.31, -6.26, -6.24, 
## -6.25, -5.96, -5.88, -5.88, -5.86, -5.87, -5.87, -5.82, -5.74, 
## -5.06, -5, -4.83, -4.62, -4.34, -4.27, -4.16, -4.2, -4.31, -4.36, 
## -4.39, -4.87, -5.44, -6.18, -6.17, -5.68, -5.72, -5.78, -5.85, 
## -5.92, -5.85, -5.76, -5.66, -5.87, -5.9, -6.09, -6.12, -5.8, 
## -5.68, -5.58, -5.4, -5.39, -5.35, -5.28, -5.3, -5.31, -5.24, 
## -4.96, -4.73, -4.94, -5.01, -5.33, -6.21, -6.67, -6.81, -6.74, 
## -6.69, -6.6, -6.15, -6.08, -5.95, -5.93, -5.92, -5.64, -5.33, 
## -5.12, -4.83, -4.96, -4.96, -4.96, -4.86, -4.79, -4.79, -4.74, 
## -4.5, -4.36, -4.47, -4.62, -5.32, -5.46, -5.89, -5.97, -6.12, 
## -6.17, -5.95, -5.86, -5.9, -5.95, -5.95, -5.94, -6.02, -5.95, 
## -5.95, -5.9, -6.02, -89.6, -89.7, -89.6, -89.4, -89.3, -89.2, 
## -89.2, -89.1, -89.1, -89, -89, -89, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.5, 
## -88.5, -88.5, -88.3, -88.2, -88.2, -88.3, -88.3, -88.3, -88.3, 
## -88.4, -88.5, -88.5, -88.6, -88.6, -88.5, -88.5, -88.4, -88.4, 
## -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.6, -88.5, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.5, -88.5, -88.5, 
## -88.4, -88.4, -88.4, -88.3, -88.3, -88.4, -88.4, -88.4, -88.5, 
## -88.5, -88.5, -88.5, -88.4, -88.3, -88.3, -88.3, -88.4, -88.4, 
## -88.4, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.4, 
## -88.3, -88.3, -88.6, -88.6, -88.6, -88.6, -88.5, -88.4, -88.4, 
## -88, -88, -88, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -88.2, -88.2, -88.2, -88.2, -88.1, -88.2, 
## -88.2, -88.2, -88, -88, -88.1, -88.2, -88.1, -88.1, -88.1, -88.1, 
## -88.2, -88.2, -88.2, -88.3, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88, -88, -88, -88, -87.9, -87.9, -87.9, -88, -88, -88, -88.1, 
## -88.1, -88.1, -88.2, -88.1, -88.1, -88.1, -88.1, -88, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88, -88, -88, -88, -88, -88, -88.1, 
## -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.1, -88.1, -88.2, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.3, -88.3, 
## -88.2, -88.2, -88.2, -87.8, -87.9, -87.9, -87.8, -87.9, -87.9, 
## -87.8, -87.8, -87.7, -87.7, -87.5, -87.5, -87.5, -87.5, -87.5, 
## -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.3, -87.3, -87.3, 
## -87.3, -87.4, -87.4, -87.4, -87.4, -87.4, -87.3, -87.2, -87.2, 
## -87.2, -87.1, -87.1, -87.1, -90.8, -90.8, -90.8, -90.8, -90.8, 
## -90.8, -90.8, -90.9, -90.9, -91.1, -91.1, -91.2, -91.2, -91.2, 
## -91.4, -91.4, -91.5, -91.5, -91.5, -91.5, -91.5, -91.6, -91.7, 
## -91.7, -91.7, -91.8, -91.8, -91.9, -91.9, -91.9, -92, -92, -92.1, 
## -92, -92, -92, -92, -92, -92.1, -92.2, -92.2, -92.3, -92.3, -92.4, 
## -92.4, -92.4, -92.5, -92.6, -92.6, -92.6, -92.7, -92.7, -92.7, 
## -92.6, -92.7, -92.7, -92.7, -92.7, -92.5, -92.5, -92.5, -92.5, 
## -92.5, -92.6, -92.6, -92.6, -92.7, -92.7, -92.9, -93, -93, -93, 
## -92.8, -92.8, -92.8, -92.8, -92.7, -92.8, -92.8, -92.8, -93, 
## -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93, -93, -92.9, -93, -93, -92.8, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.6, 
## -92.6, -92.6, -92.6, -92.6, -92.8, -92.8, -92.9, -93, -93, -93.1, 
## -93.1, -93, -93, -93, -92.9, -92.9, -92.9, -92.9, -92.8, -92.5, 
## -92.5, -92.5, -92.5, -92.7, -92.7, -92.7, -92.9, -92.9, -92.9, 
## -92.9, -92.9, -92.9, -92.9, -92.9, -92.8, -92.9, -92.9, -92.9, 
## -92.6, -92.5, -92.4, -92.3, -92.3, -92.3, -92.5, -92.5, -92.6, 
## -92.5, -92.5, -92.5, -92.5, -92.6, -92.7, -92.7, -92.7, -92.8, 
## -92.8, -92.8, -92.7, -92.8, -92.8, -92.8, -92.7, -92.7, -92.7, 
## -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, -92.7, -92.6, -92.7, 
## -92.6, -92.6, -92.5, -92.6, -92.6, -92.8, -92.9, -92.9, -92.9, 
## -92.9, -93, -92.9, -92.9, -92.9, -92.9, -92.9, -92.9, -92.9, 
## -92.9, -92.9, -92.9, -93, -93.2, -93.1, -93.1, -93.1, -93.4, 
## -93.4, -93.4, -93.4, -93.4, -93.2, -93.1, -93.1, -93.1, -93.1, 
## -93, -92.8, -92.7, -92.7, -92.6, -92.7, -92.7, -92.9, -92.9, 
## -92.9, -92.8, -92.8, -92.8, -92.8, -92.8, -92.9, -92.9, -93.1, 
## -93.1, -93.1, -93, -92.9, -92.8, -92.8, -93, -93, -93, -93, -93.2, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.4, -93.4, -93.4, -93.5, -93.5, -88, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.8, -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -88, -87.9, -87.9, -87.9, -87.9, -88, -88, -88, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.2, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -87.9, 
## -87.9, -88, -88, -88, -88, -88, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -88, -88, -88, -88, -88, -88, -87.8, -87.7, -87.8, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -88.1, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88, -87.9, -87.8, -87.8, -87.8, 
## -87.8, -87.9, -87.9, -88, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -88, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88, -88, -87.9, -87.9, -88, -88, -88, -88.1, -88.2, 
## -88.1, -88.1, -88.1, -88, -88, -88, -88.1, -88.1, -88.1, -88, 
## -87.9, -87.9, -87.9, -87.8, -87.8, -87.7, -87.7, -88, -88, -87.9, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, 
## -88.1, -88.1, -88.1, -88.2, -88.2, -88.1, -88, -88, -88, -88, 
## -87.9, -88, -88, -88, -88.1, -88.1, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88.1, -88, -88, -88.1, -88.1, -88.1, -88.1, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -87.9, 
## -87.9, -87.8, -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, 
## -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, -87.2, -87.2, 
## -87.2, -87.1, -87.1, -87.1, -87.1, -87.3, -87.4, -87.4, -87.2, 
## -87.4, -87.4, -87.6, -87.7, -87.8, -87.8, -87.5, -87.4, -87.3, 
## -87.3, -87.6, -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, -87.6, 
## -87.6, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.1, -88.1, -88.1, -88.1, -88.1, -88.2, 
## -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.8, -87.7, -87.8, 
## -87.8, -87.7, -87.7, -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, 168, 167, 168, 168, 168, 168, 167, 
## 167, 167, 166, 166, 166, 167, 167, 167, 167, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 
## 165, 165, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 
## 165, 165, 165, 165, 165, 164, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 164, 163, 163, 163, 163, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 163, 162, 162, 
## 162, 162, 162, 161, 162, 162, 161, 161, 161, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 162, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 162, 162, 162, 162, 162, 162, 
## 162, 162, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 160, 160, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 162, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 162, 162, 161, 
## 161, 161, 162, 162, 162, 162, 162, 162, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 160, 160, 160, 160, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 162, 162, 
## 162, 161, 161, 161, 161, 161, 161, 161, 162, 162, 162, 162, 162, 
## 162, 162, 162, 163, 163, 163, 163, 162, 162, 162, 162, 162, 162, 
## 162, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 164, 164, 
## 165, 165, 166, 167, 167, 167, 167, 167, 166, 166, 166, 166, 166, 
## 165, 165, 165, 165, 165, 165, 166, 166, 166, 166, 165, 164, 164, 
## 164, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 
## 165, 164, 164, 164, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 160, 160, 160, 160, 160, 160, 160, 161, 161, 161, 
## 161, 162, 161, 162, 162, 162, 161, 161, 161, 161, 161, 161, 161, 
## 161, 166, 166, 166, 165, 165, 165, 165, 165, 165, 165, 165, 167, 
## 167, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 
## 167, 167, 167, 167, 167, 167, 167, 167, 166, -2.31, -2.25, -1.66, 
## -1.58, -1.57, -1.63, -1.71, -1.78, -2.09, -2.15, -2.26, -1.88, 
## -1.69, -1.56, -1.46, -1.42, -1.4, -1.44, -1.52, -1.55, -1.57, 
## -1.43, -1.67, -2.07, -1.78, -1.74, -1.61, -1.42, -1.36, -1.29, 
## -1.2, -1.15, -1.01, -1.04, -1.07, -1.12, -1.19, -1.17, -1.21, 
## -1.39, -1.4, -1.37, -1.46, -1.53, -1.57, -1.61, -1.62, -1.6, 
## -1.65, -1.5, -1.49, -1.31, -1.27, -1.31, -1.26, -1.27, -1.12, 
## -1.02, -0.26, -0.16, -0.39, -0.61, -0.64, -0.68, -0.14, -0.07, 
## -0.04, -0.02, 0.04, 0.09, 0.31, 0.38, 0.65, 0.74, 0.78, 0.61, 
## 0.58, 0.42, 0.4, 0.41, 0.52, 0.65, 0.79, 0.85, 1.06, 1.36, 1.39, 
## 1.43, 1.54, 1.62, 1.66, 1.54, 1.57, 1.46, 1.61, 1.63, 1.7, 1.72, 
## 1.8, 1.99, 2.15, 2.14, 1.95, 1.97, 2.08, 2.14, 2.27, 2.4, 2.47, 
## 2.7, 2.54, 2.65, 2.84, 3.13, 3.21, 3.2, 3.19, 3.14, 3.2, 3.23, 
## 3.26, 3.23, 3.23, 3.26, 3.21, 3.05, 2.42, 2.74, 2.5, 2.47, 2.4, 
## 2.4, 2.3, 2.13, 1.73, 1.38, 1.26, 1.21, 1.36, 1.44, 1.48, 1.49, 
## 1.49, 1.44, 1.44, 1.51, 1.72, 1.83, 1.77, 1.74, 1.74, 1.88, 2.18, 
## 2.22, 2.13, 2.04, 1.42, 1.27, 1.23, 1.14, 1.19, 1.32, 1.89, 2.16, 
## 2.12, 2.27, 2.35, 2.48, 2.52, 2.5, 2.39, 2.36, 2.58, 2.92, 2.95, 
## 3.13, 3.07, 3.02, 2.98, 2.82, 2.75, 2.79, 3.02, 3.03, 3.03, 3.02, 
## 2.99, 3.07, 3.13, 3.21, 3.63, 3.79, 3.86, 3.45, 3.22, 3.19, 3.28, 
## 3.32, 3.6, 3.53, 3.49, 3.44, 3.27, 3.27, 3.46, 3.47, 3.29, 3.26, 
## 3.18, 3.11, 2.83, 2.57, 2.39, 2.35, 3.21, 3.19, 3.06, 3.05, 3.22, 
## 3.24, 3.64, 3.73, 3.41, 3.33, 3.22, 3.43, 3.47, 3.29, 3.34, 3.23, 
## 3, 2.48, 2.38, 2.17, 2.19, 2.17, 2.26, 2.35, 2.79, 3.27, 3.36, 
## 3.69, 3.83, 3.97, 4.02, 4.04, 4.07, 4.34, 4.03, 3.68, 3.23, 3.26, 
## 3.05, 3.01, 3.02, 3.18, 3.24, 3.41, 3.75, 4.08, 2.99, 2.61, 2.37, 
## 2.32, 2.24, 2.2, 2.28, 2.28, 2.49, 2.52, 2.49, 2.56, 2.43, 2.6, 
## 2.76, 3.2, 3.35, 3.34, 3.22, 3.21, 3.2, 3.19, 3.34, 3.4, 3.32, 
## 3.39, 3.33, 3.3, 3.31, 3.3, 2.13, 2.14, 2.18, 2.88, 2.92, 2.97, 
## 2.95, 2.89, 2.76, 2.89, 2.95, 2.96, 3.23, 3.15, 3.13, 3.05, 3.06, 
## 3.06, 2.95, 2.69, 2.08, 2.27, 2.28, -1.69, -1.7, -1.69, -1.48, 
## -1.52, -1.55, -1.58, -1.75, -1.72, -1.78, -1.9, -2.06, -88.1, 
## -88, -88, -87.9, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.8, 
## -87.8, -87.8, -88, -88, -88.1, -88, -88.1, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.4, -88.3, -88.3, -88, -88, -88, -88.1, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88, -88, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88, -88, -88, -88, -88, -87.9, -87.9, -87.9, -87.8, 
## -87.8, -87.7, -87.7, -87.8, -88.3, -88.1, -88, -88, -88, -88.1, 
## -88.1, -88, -88, -88, -88.1, -88.1, -88.2, -88.1, -88, -88, -88, 
## -87.9, -87.9, -88, -88, -88.1, -88.2, -88.3, -88.3, -88.4, -88.4, 
## -88.4, -88.4, -88.5, -88.5, -88.6, -6.59, -6.46, -6.51, -6.02, 
## -6.09, -6.12, -6.02, -5.75, -5.48, -5.28, -5.25, -5.16, -5.14, 
## -5.46, -5.4, -5.3, -5.15, -5.17, -5.29, -5.31, -5.21, -4.94, 
## -4.97, -4.71, -4.9, -5.06, -5.73, -5.76, -6.01, -6.43, -3.09, 
## -3.06, -3.07, -3.21, -3.38, -3.5, -3.56, -3.35, -3.27, -3.07, 
## -2.99, -2.88, -3.66, -3.67, -3.41, -3.38, -3.36, -3.32, -3.29, 
## -3.07, -3.03, -3.05, -2.97, -2.68, -2.55, -2.44, -4.46, -4.45, 
## -4.32, -4.19, -4.16, -4.22, -4.22, -3.7, -3.69, -3.5, -3.48, 
## -3.53, -93.2, -93.3, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, 
## -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.5, -93.5, 
## -93.5, -93.5, -93.6, -93.5, -93.5, -93, -93, -93.1, -93.1, -93.1, 
## -93, -93, -93, -93, -93, -92.8, -93.4, -93.4, -93.4, -93.4, -93.4, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, 
## -93.2, -93.2, -93.2, -93.2, -93.3, -93.3, -93.3, -93.3, -93.3, 
## -93.2, -93.2, -93.1, -93.1, -93.2, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.2, -93.1, 
## -93.1, -93.2, -93.2, -93.2, -93.3, -93.3, -93.3, -93.4, -93.4, 
## -93.4, -93.4, -93.5, -93.5, -93.5, -93.6, -93.6, -93.6, -93.7, 
## -93.7, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -94, -94, -94, -93.9, -93.9, -93.8, -93.8, -93.8, 
## -93.7, -93.6, -93.6, -93.5, -93.4, -93.4, -5.78, -5.43, -5.24, 
## -5.23, -5.22, -5.23, -5.35, -5.32, -5.25, -5.2, -5.13, -5.13, 
## -5.2, -5.29, -5.28, -5.37, -5.61, -5.54, -5.48, -5.38, -4.92, 
## -4.74, -4.68, -4.68, -4.71, -5, -5.03, -5.04, -5.01, -4.68, -4.44, 
## -4.24, -4.25, -4.18, -4.18, -4.33, -5.18, -5.13, -7.18, -6.98, 
## -6.9, -6.63, -6.43, -6.18, -6.14, -6.11, -6.08, -6.23, -6.39, 
## -6.42, -6.46, -6.53, -6.3, -6.3, -6.32, -6.31, -6.17, -6.16, 
## -5.77, -5.74, -5.85, -6.02, -6.26, -6.48, -6.61, -7.41, -7.39, 
## -7.2, -6.99, -6.5, -6.47, -6.49, -6.79, -6.72, -6.41, -6.29, 
## -6.2, -5.88, -5.85, -5.83, -5.68, -5.57, -5.54, -5.56, -5.57, 
## -6.24, -6.47, -6.55, -6.63, -6.7, -6.73, -6.76, -6.74, -6.64, 
## -6.52, -6.47, -6.39, -6.32, -6.3, -6.24, -6.21, -6.13, -6, -6.09, 
## -6.16, -6.34, -6.58, -7.18, -7.16, -6.72, -6.63, -6.39, -5.98, 
## -6, -6.69, -6.74, -6.76, -5.58, -5.47, -5.22, -5.02, -5.02, -5.07, 
## -5.11, -5.2, -5.28, -5.38, -5.37, -5.5, -5.56, -4.18, -4.21, 
## -4.26, -4.24, -4.27, -4.23, -4.19, -4.21, -4.04, -4.03, -4.01, 
## -4.01, -4.33, -4.42, -4.79, -4.95, -5.01, -5.05, -4.73, -4.67, 
## -4.64, -4.61, -4.65, -4.74, -4.86, -4.89, -4.99, -5.07, -5.08, 
## -5.29, -5.33, -5.27, -5.2, -5.1, -5.11, -5.04, -5.04, -6.6, -6.55, 
## -6.28, -6.25, -6.21, -6.18, -7.35, -7.05, -7.03, -6.96, -6.93, 
## -6.7, -6.62, -6.26, -6.19, -6.17, -6.38, -6.67, -6.79, -6.88, 
## -6.95, -6.9, -6.61, -6.38, -5.78, -5.64, -5.53, -5.29, -5.27, 
## -5.33, -5.4, -5.99, -6.05, -5.94, -5.85, -5.76, -5.6, -4.81, 
## -4.84, -4.88, -5.2, -5.23, -5.28, -5.43, -5.78, -5.57, -4.27, 
## -4.35, -4.53, -4.79, -5.09, -5.26, -5.47, -5.49, -5.09, -5.05, 
## -5.02, -4.71, -4.66, -4.6, -5.01, -5.11, -5.4, -5.25, -2.17, 
## -2.07, -2.08, -1.92, -1.85, -1.72, -1.75, -1.71, -1.75, -1.77, 
## -1.77, -1.83, -2.1, -2.08, -2.05, -1.86, -1.9, -2, -1.89, -1.82, 
## -1.78, -1.93, -2.15, -2.2, -2.23, -2.31, -2.34, -2.37, -2.36, 
## -2.3, -2.25, -2.41, -2.42, -2.37, -2.34, -2.3, -2.15, -2.15, 
## -2.08, -2.04, -1.95, -1.96, -2.38, -2.34, -2.48, -2.46, -2.51, 
## -2.54, -2.59, -2.64, -2.67, -2.69, -2.49, -2.11, -2.17, -2.54, 
## -2.57, -2.65, -2.63, -2.58, -2.65, -2.67, -2.72, -2.81, -2.6, 
## -2.6, -0.9, -1.01, -1.09, -1.17, -1.18, -1.23, -0.52, -0.29, 
## -0.23, -0.13, -0.13, -0.12, -0.13, -0.12, -0.18, -0.25, -0.36, 
## -0.73, -0.79, -0.86, -0.86, -0.59, -0.53, -0.02, -0.04, -0.29, 
## -0.27, -0.26, -0.26, -0.22, 0.45, 0.59, 0.8, 0.8, 0.8, 0.71, 
## 0.66, 0.72, 0.75, 0.75, 0.79, 0.44, 0.43, 0.39, 0.58, 0.7, 0.87, 
## 0.79, 0.57, 0.45, 0.43, 0.39, 0.36, 0.41, 0.42, 0.32, 0.28, 0.93, 
## 1.05, 0.82, 0.74, 0.66, 0.77, 0.73, 0.89, 1.02, 0.69, 0.38, 0.13, 
## 0.16, 0.19, 0.13, 0.24, 0.12, -0.11, -0.31, -0.4, -0.49, -0.52, 
## -0.24, -0.26, -0.42, -0.52, -0.67, -0.74, -0.74, -0.81, -0.89, 
## -0.91, -0.9, -1.02, -1.18, -0.98, -0.86, -0.79, -0.54, -0.62, 
## -1.46, -1.53, -1.69, -2.12, -2.24, -2.33, -2.29, -2.32, -2.4, 
## -2.37, -2.39, -2.23, -2.07, -1.82, -0.52, 1.25, 1.75, 2.29, 2.45, 
## 2.93, 3.02, 3, 2.23, -87.1, -87.2, -87.5, -87.8, -88.5, -88.1, 
## -87.7, -86.4, -85.9, -84.2, -83.5, -83.4, -82.8, -82.8, -82.9, 
## -82.9, -83.4, -83.8, -84.8, -86.3, -86.5, -87.2, -88, -88.3, 
## -89.3, -90, -90.7, -90.6, -90.5, -90.1, -89.9, -89.7, -89.4, 
## -89.2, -88.2, -85.9, -84.3, -83.7, -83.2, -80.9, -80.8, -80.5, 
## -80.1, -79.7, -79.6, -79.5, -79.6, -79.9, -80.7, -81.3, -81.6, 
## -81.7, -81.9, -82, -82.3, -83.1, -85.1, -85.5, -80.7, -79.9, 
## -79.1, -78.6, -78.5, -78.4, -78.7, -78.8, -80.1, -81.2, -81.5, 
## -82.9, -84.2, -84.7, -86.2, -86.5, -87, -87.2, -87.4, -87.6, 
## -87.7, -87.7, -87.9, -87.7, -87.6, -87.2, -86.3, -82.5, -81.9, 
## -83.3, -81.2, -80.6, -80.1, -79.5, -78.3, -77.2, -76.7, -76.2, 
## -75.8, -76.3, -77.4, -77.9, -78.1, -78.3, -78.5, -79.2, -79.4, 
## -80.2, -80.8, -81.1, -81.5, -81.8, -82, -82.4, -85.1, -86, -86.6, 
## -87.2, -87.3, -87.1, -86.9, -85.5, -85.3, -83.8, -80.7, -80.3, 
## -78, -77, -76.7, -75.8, -75.7, -75.8, -75.8, -76.8, -77, -77.4, 
## -78.1, -78.4, -79.2, -79.5, -81.1, -81.5, -85, -85.8, -85.9, 
## -86.4, -86.3, -86.2, -85.2, -85, -84.3, -83.7, -82.9, -81, -80.2, 
## -79.2, -78.5, -78.8, -78.8, -79.5, -80.4, -80.8, -81.3, -82.2, 
## -84.9, -85.8, -86.6, -87.2, -88.2, -88.7, -89, -89, -88.9, -88, 
## -87.6, -87.1, -86.9, -86.5, -86.2, -85.7, -85.2, -83.4, -82.8, 
## -81.1, -80.4, -80.3, -80.3, -80.4, -80.7, -80.8, -81.3, -81.8, 
## -82, -82.6, -83, -83.3, -83.5, -83.8, -84.2, -85.1, -85.4, -85.6, 
## -86.9, -87.2, -87.7, -87.9, -88.5, -88.7, -88.9, -89.2, -89.2, 
## -89.1, -88.7, -88.2, -87.5, -87.3, -87.2, -86.2, -85.9, -84.7, 
## -84.3, -83.9, -83.5, -82.7, -81.8, -81.3, -81.1, -80.4, -80.2, 
## -80.3, -80.3, -80.4, -80.9, -81.1, -81.4, -83.5, -83.7, -84, 
## -84.2, -84.4, -84.6, -85.2, -85.6, -86, -86.3, -86.5, -86.6, 
## -86.6, -86.6, -86.7, -86.9, -87.1, -87.2, -87.4, -87.5, -87.7, 
## -88.2, -88.2, -88.2, -88.2, -88.1, -88.1, -88.1, -88, -87.8, 
## -87.7, -87.6, -93.6, -93.6, -93.6, -93.7, -93.5, -93.6, -93.6, 
## -93.6, -93.6, -93.7, -93.7, -93.7, -93.6, -93.4, -93.4, -93.4, 
## -93.4, -93.4, -93.5, -93.5, -93.5, -93.6, -93.6, -93.6, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.6, -93.5, -93.5, -93.5, -93.5, 
## -93.5, -93.5, -93.6, -93.6, -93.7, -93.7, -93.7, -93.7, -93.7, 
## -93.6, -93.6, -93.6, -93.5, -93.5, -93.6, -93.6, -93.6, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.8, -93.7, -93.8, -93.8, -93.7, -93.7, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.7, -93.6, -93.6, 
## -93.7, -93.7, -93.8, -93.8, -93.8, -93.9, -93.9, -93.9, -93.9, 
## -93.9, -93.8, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, 
## -93.8, -93.8, -93.8, -93.9, -93.9, -93.9, -94, -94, -93.9, -93.9, 
## -93.7, -93.7, -93.7, -93.6, -93.7, -93.7, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.7, -93.7, -93.6, -93.5, -93.5, -93.5, 
## -93.5, -93.6, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, 
## -93.4, -93.4, -93.4, -93.4, -93.5, -93.6, -93.6, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.5, -93.5, -93.5, 
## -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.6, -93.4, -93.5, -93.5, -93.5, -93.6, 
## -93.5, -93.6, -93.6, -93.6, -93.5, -93.5, -93.5, -93.4, -93.4, 
## -93.3, -93.3, -93.3, -93.4, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.5, -87.4, -87.4, -87.3, -87.3, -87.4, -87.4, -87.4, -87.4, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.6, -87.6, 
## -87.2, -87.3, -87.3, -87.3, -87.3, -87.4, -87.4, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.6, 
## -87.6, -87.6, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, 
## -87.5, -87.4, -87.4, -87.5, -87.5, -87.5, -87.2, -87.2, -87.2, 
## -87.2, -87.2, -87.1, -87.2, -87.2, -87.2, -87.3, -87.3, -87.3, 
## -87.3, -87.2, -87.1, -87.1, -87.1, -87.3, -87.3, -87.4, -87.5, 
## -87.4, -87.3, -87.3, -87.3, -87.3, -87.3, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.5, -87.5, -87.5, 
## -87.6, -87.6, -87.6, -87.5, -87.5, -87.5, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.4, -87.4, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.6, -87.7, -87.7, -87.7, -87.7, -87.6, 
## -87.6, -87.5, -87.5, -87.5, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, -87.7, -87.7, 
## -87.5, -87.4, -87.6, -87.6, -87.6, -87.7, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.9, -88, -88.1, -88.2, -88.3, 
## -88.4, -88.5, -88.5, -88.3, -88.4, -88.4, -88.4, -88.5, -88.4, 
## -88.3, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.5, -88.5, -88.4, -88.4, 
## -88.4, -88.3, -88.3, -88.3, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.3, -88.3, -88.3, -88.3, -88.6, -88.7, 
## -88.7, -88.8, -88.8, -88.8, -88.8, -88.7, -88.7, -88.6, -88.5, 
## -88.1, -87.9, -87.9, -88, -88.1, -88.2, -88.5, -88.8, -88.6, 
## -88.6, -88.8, -88.9, -89, -88.9, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -88.9, -88.8, -88.8, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 164, 164, 165, 165, 165, 165, 165, 165, 
## 165, 164, 164, 164, 164, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 
## 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 165, 165, 165, 165, 165, 165, 165, 165, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 165, 165, 165, 165, 166, 166, 166, 166, 165, 
## 162, 162, 163, 164, 164, 166, 167, 168, 168, 169, 169, 169, 169, 
## 170, 172, 171, 170, 171, 171, 172, 172, 172, 172, 172, 172, 172, 
## 172, 173, 173, 172, 172, 172, 171, 166, 165, 165, 165, 165, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 
## 165, 165, 165, 165, 165, 166, 166, 166, 166, 166, 166, 165, 165, 
## 165, 165, 165, 165, 165, 165, 166, 166, 166, 166, 165, 165, 165, 
## 165, 165, 166, 166, 166, 166, 166, 166, 166, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 165, 165, 
## 165, 165, 165, 164, 165, 165, 4.5, 4.71, 4.96, 4.98, 3.8, 3.53, 
## 3.4, 3.25, 3.26, 3.43, 3.81, 4.29, 4.19, 3.97, 3.66, 4.24, 4.42, 
## 4.47, 4.59, 4.29, 4.14, 4.05, 3.74, 3.52, 2.34, 2.22, 2.1, 1.96, 
## 1.73, 1.7, 1.45, 0.75, 0.62, -0.27, -0.26, -0.52, -0.67, 0.23, 
## 0.3, 0.31, 0.37, 0.38, 0.34, 0.31, 0.27, 0.15, 0, -0.03, -0.27, 
## -0.37, -0.28, -0.31, -0.28, -0.25, -0.25, -0.24, -0.11, 0.2, 
## 0.24, 0.46, 0.54, 0.39, 0.28, 0.24, 0.17, 0, -0.11, -0.22, -0.36, 
## -0.38, -0.44, -0.33, -0.36, -0.33, -0.08, -0.02, 0.06, 0.15, 
## 0.21, 0.41, 0.38, 0.34, -0.17, -0.24, -0.57, -0.68, -0.76, -0.9, 
## -1.1, -1.08, -1.26, -1.49, -1.49, -1.46, -1.51, -1.56, -1.55, 
## -1.55, -1.36, -1.39, -1.23, -1.13, -0.89, -0.89, -1.01, -1.03, 
## -1.86, -1.71, -1.71, -1.8, -1.92, -1.94, -1.91, -1.98, -1.94, 
## -2, -2.05, -2.29, -2.45, -2.46, -2.35, -2.38, -2.27, -2.12, -2.12, 
## -2.15, -0.63, -0.69, -0.77, -0.75, -0.87, -0.9, -0.98, -0.66, 
## -0.25, -0.6, -0.64, -0.68, -0.66, -1.8, -1.84, -1.93, -2.01, 
## -1.98, -1.98, -1.95, -1.9, -1.67, -1.58, -1.54, -1.38, -1.29, 
## -1.27, -1.26, -1.24, -1.06, -1.03, -1.05, -0.97, -0.92, -0.75, 
## -0.72, -2.54, -2.51, -2.15, -2.06, -1.84, -1.76, -1.84, -1.96, 
## -1.93, -1.77, -1.69, -1.49, -1.31, -1.16, -1.2, -1.2, -1.19, 
## -1.29, -1.26, -1.32, -1.44, -1.57, -1.62, -1.74, -1.87, -2.09, 
## -1.31, -1.42, -1.45, -1.45, -1.47, -1.61, -2, -2.02, -1.81, -0.43, 
## -0.89, -0.95, -1.01, -1.09, -1.07, -1.06, -0.85, -0.76, -0.63, 
## -0.57, -0.57, -0.55, -0.42, -0.46, -0.51, 3.58, 3.51, 3.55, 3.5, 
## 3.53, 3.53, 3.57, 3.49, 3.22, 2.94, 2.56, 2.5, 1.76, 1.44, 1.56, 
## 1.7, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -87.4, -87.4, -87.4, -87.4, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.1, -87.1, -87.1, -87.1, -87.2, -87.2, -87.2, -87.2, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, 
## -87.3, -87.3, -87.2, -87.2, -87.1, -87.2, -87.2, -87.2, -82.1, 
## -82.9, -83.1, -83.3, -86.2, -86.3, -87.1, -87.1, -87.1, -85.2, 
## -84.2, -80.2, -76.8, -76.4, -76.4, -76.4, -76.4, -76.5, -76.6, 
## -77.2, -77.7, -77.9, -78.6, -79.2, -79.4, -79.7, -80.8, -81.6, 
## -84.5, -86, -86.5, -86.9, -87.4, -87.5, -87.6, -87.7, -87.6, 
## -87.6, -87.6, -87.4, -86.9, -86, -85.6, -85.2, -84.9, -84, -81, 
## -77.9, -77.9, -77.9, -78.1, -78.3, -78.8, -79.2, -79.4, -79.6, 
## -80.3, -81.4, -81.7, -82, -82.8, -83.8, -86.2, -86.8, -86.9, 
## -86.9, -86.6, -86, -85.3, -83.5, -81.6, -80.9, -79.6, -79.3, 
## -79.1, -78.9, -5.03, -5.03, -5.09, -5.1, -5.17, -5.19, -5.33, 
## -6.03, -6.41, -6.77, -6.94, -6.87, -6.74, -6.69, -5.7, -6.36, 
## -6.38, -5.96, -5.11, -4.81, -4.74, -4.85, -4.9, -4.9, -4.93, 
## -4.87, -4.84, -4.73, -5.87, -5.89, -5.97, -6.25, -6.22, -6.1, 
## -6.15, -4.93, -5.17, -5.15, -5.16, -5.15, -5.07, -5.07, -5.12, 
## -5.19, -5.43, -5.61, -5.67, -5.79, -5.94, -7.1, -93.1, -93, -93.1, 
## -93.1, -93.1, -93.2, -93.2, -93.2, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.4, -93.3, -93.1, -93.1, -93.5, -93.5, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.6, -93.6, -93.5, -93.5, -93.5, -93.6, 
## -93.6, -93.6, -82.1, -81.9, -81.9, -82.3, -81.9, -81.4, -80.8, 
## -81, -86.2, -86.5, -88.5, -89.7, -90.4, -91.1, -94.3, -95.2, 
## -96.1, -96.4, -96.3, -96.2, -94, -93, -92.8, -92.5, -92.2, -88.4, 
## 132, 133, 133, 134, 134, 135, 136, 136, 136, 135, 135, 135, 136, 
## 136, 136, 137, 137, 136, 136, 134, 133, 133, 132, 130, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 130, 130, 
## 130, 130, 130, 130, 130, 130, 130, 130, 129, 130, 131, 132, 136, 
## 140, 142, 142, 142, 141, 140, 139, 139, 139, 143, 144, 145, 145, 
## 145, 145, 144, 143, 141, 141, 141, 141, 141, 141, 141, 142, 142, 
## 144, 145, 147, 149, 151, 156, 164, 166, 172, 176, -179, -172, 
## -171, -170, -168, -167, -167, 160, 158, 158, 157, 157, 158, -92.9, 
## -92.9, -92.8, -92.5, -92.3, -92.3, -92.5, -92.9, -93.1, -93.1, 
## -93.2, -93.2, -93.1, -93.1, -93.1, -93.1, -93.1, -93.2, -93.3, 
## -93.3, -93.4, -93.4, -93.5, -93.5, -93.6, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.8, -93.8, -93.8, -93.9, -93.8, -93.4, 
## -93.3, -93.2, -92.9, -93, -93, -93, -93.1, -93.2, -93.2, -93.2, 
## -93, -92.9, -92.9, -92.8, -92.7, -92.7, -92.8, -92.9, -93.1, 
## -93.7, -93.7, -93.7, -93.6, -93.5, -93.4, -93.4, -93.3, -93.3, 
## -93.1, -93, -93, -92.9, -92.6, -92.5, -92.2, -92.1, -92.1, -92, 
## -91.8, -91.7, -91.7, -91.8, -91.9, -91.9, -91.9, -92.1, -92.1, 
## -92.4, -92.5, -92.6, -92.7, -92.8, -93.1, -93.1, -93.2, -93.1, 
## -93.1, -93, -92.9, -92.8, -91.2, -91.2, -92.2, -92.4, -92.5, 
## -92.6, -92.5, -92.4, -91.5, -90.7, -90.8, -91, -91.2, -91.3, 
## -91.4, -91.5, -91.5, -91.7, -91.7, -91.9, -92, -92.1, -92.1, 
## -92.2, -92.2, -92.3, -92.4, -92.5, -92.6, -92.7, -92.4, -92.3, 
## -92.3, -92.3, -92.3, -92.3, -92.2, -92, -91.9, -91.8, -91.6, 
## -91.6, -91.4, -91.3, -91.3, -91.2, -91.2, -91.2, -92.2, -92.2, 
## -92.2, -92.1, -92, -92, -92, -92, -91.9, -91.9, -91.8, -91.7, 
## -91.7, -91.6, -91.5, -91.4, -91.2, -91, -91, -91.2, -91.2, -91.3, 
## -91.5, -92, -92.9, -93, -93.1, -93.1, -93.1, -92.9, -92.7, -92.2, 
## -92, -91.3, -91.3, -91.2, -91.3, -91.4, -91.4, -91.5, -91.5, 
## -91.6, -91.6, -91.7, -91.9, -91.9, -93.2, -93.2, -93.3, -93.3, 
## -93.3, -93.2, -93.1, -93, -92.9, -92.9, -92.8, -92.8, -92.7, 
## -92.5, -92.4, -92.2, -92.2, -92.1, -92, -91.8, -91.3, -91.4, 
## -91.5, -91.5, -91.6, -91.7, -92, -92.3, -92.6, -92.8, -92.9, 
## -93, -93, -93, -93, -93, -93, -92.8, -92.8, -92.7, -92.7, -92.7, 
## -92.7, -92.8, -92.9, -93.1, -93.2, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.2, -93.2, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -93.2, -93.2, 
## -93.3, -93.3, -93.3, -93.2, -93.2, -93.2, -93.2, -93.2, -93.1, 
## -93.1, -93.1, -93.2, -93.2, -93.1, -93.2, -93.2, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -3.52, -3.58, -4.51, -5.12, -5.16, -4.31, 
## -4.28, -4.31, -4.36, -4.5, -5.07, -5.64, -1.45, 2.76, 6.27, 6.39, 
## 6.66, 5.96, 5.79, 6.17, 6.49, 6.84, 7.15, 7.65, 7.87, 8.66, 8.16, 
## 7.63, 7.21, 5.98, 4.06, 3.63, 2.46, 2.49, 3.01, 8.31, 8.89, 10.3, 
## 10.8, 12.2, 12.6, 12.8, 12.6, 12.8, 12.8, 12.6, 12.4, 13, 13.5, 
## 13.9, 14.1, 14.1, 13.8, 13.4, 12.9, 12.9, 12.7, 12.6, 11.9, 11.3, 
## 9.82, 8.23, 7.85, 8.63, 9.3, 9.66, 13.7, 14.4, 14.5, 15.2, 15.5, 
## 15.6, 15.5, 15.4, 15.3, 15, 15.2, 14.6, 14.4, 14.2, 1.8, 1.68, 
## 0.58, -0.05, -0.41, -0.71, -1.56, -1.58, -1.59, -0.94, -0.34, 
## 1.71, 2.13, 2.57, 3.07, 3.56, 4.74, 8.91, 9.73, 13.6, 14.4, 15, 
## 15.7, 18.8, 27.8, 29.9, 31, 31.8, 32.8, 33, 32.9, 33, 33.1, 33.3, 
## 34.3, 35.4, 36.1, 36.6, 37.1, 38.6, 38.7, 38.9, 40.8, 41, 41.8, 
## 45.1, 45.8, 46.1, 46.9, 47.7, 51.7, 52, 53.3, 54.8, 55.1, 56, 
## 55.9, 55.8, 55.7, 55.6, 55.4, 55.3, 55.2, 55.1, 55, 54, 54, 54.2, 
## 55.2, 55.3, 55.3, 55.1, 54.9, 54.6, 54.3, 54.1, 53.9, 53.5, 53.1, 
## 53, 52.9, 52.8, 53, 53.2, 53.4, 53.6, 53.9, 54.7, 54.8, 55.5, 
## 55.6, 56.4, 56.8, 56.9, 56.8, 56.7, 56.5, 56.4, 56.2, 56.1, 55.7, 
## 55.5, 54.8, 54.2, 53.6, 53.4, 53.2, 53.2, 52.5, 52.5, 52.6, 52.6, 
## 52.6, 52.5, 52.4, 52.2, 51.8, 51.6, 50.4, 49.8, 48.4, 47.3, 46.5, 
## 46.4, 46.4, 48.9, 50.4, 53.6, 54, 55.7, 56, 56.9, 57.5, 57.8, 
## 58.1, 58.3, 58.9, 59.2, 58.9, 58.7, 58.3, 57.1, 56.4, 54.6, 52.7, 
## 51.8, 51.3, 50.3, 49.8, 49.1, 48.8, 48.4, 47, 45.6, 42.9, 43, 
## 44.8, 46.3, 46.6, 47.2, 47.6, 49.5, 50.8, 51, 51.1, 51.2, 50.8, 
## 50.7, 50.2, 49.8, 49.4, 48.8, 46.1, 43.4, 42.9, 42.6, 42, 41.4, 
## 40.8, 38.7, 36.4, 35.7, 35.5, 35.4, 36.7, 38.9, 39.7, 40.2, 43.8, 
## 44, 45, 45.6, 46, 47.4, 48.3, 49, 50.2, 50.5, 51.5, 51.9, 51.9, 
## 51.9, 51.9, 52.3, 53.2, 53.4, 53.6, 54.5, 54.4, 54.1, 54, 54.2, 
## 54.6, 54.8, 55, 55.1, 55, 55.1, 55, 54.9, 53.9, 53.4, 53.5, 53.9, 
## 53.9, 54, 54.4, 54.6, 54.7, 56.2, 56.6, 57, 58.2, 58.4, 58.6, 
## 58.8, 59, 58.6, 58.5, 58.4, 58.1, 57.7, 57.6, 57.6, 57.8, 57.9, 
## 58, 58.1, 58, 58, 58, 57.6, 57.4, 57, 56.7, 56.5, 56.2, 56, 55.7, 
## 55.3, 56, 57, 57.3, 57.5, 58.4, 58.6, 59.7, 60.2, 60.2, 59.6, 
## 59.4, 58.7, 58, 57.9, 57.9, 57.9, 58.1, 58.4, 58.5, 58.6, 58.6, 
## 58, 57.8, 57.3, 56.9, 56.7, 56.3, 55.5, 53.4, 51.8, 51.5, 51.2, 
## 51, 50.8, 50.9, 50.9, 51, 51, 51.3, 51.9, 52.7, 52.9, 53.4, 53.5, 
## 53.8, 54, 55.4, 56.1, 58.4, 58.7, 59.1, 59.3, 59, 58.5, 57.4, 
## 56.4, 56.2, 55.8, 54.5, 54.6, 54.7, 54.9, 55, 55.2, 55.2, 55, 
## 55, 55.1, 52.9, 52.8, 52.4, 52.3, 52.1, 52.1, 52.1, 52.2, 52.7, 
## 52.9, 54.1, 54.8, 55.8, 56.2, 58.1, 58.5, 58.9, 60.2, 61.4, 61.3, 
## 61.2, 61.1, 59.8, 59.1, 58.5, 56.6, 56.3, 56, 54.9, 54.7, 54.7, 
## 54.7, 54.5, 54.3, 54.3, 54.3, 54.4, 54.5, 54, 53.1, 52.4, 52.1, 
## 48.3, 47.5, 47.5, 49.8, 51, 51.5, 52.9, 53.7, 54.2, 55.4, 56, 
## 56.4, 56.8, 58.6, 58.5, 56.8, 56.1, 55.6, 55.3, 50.9, 48.5, 45.9, 
## 44.4, 43.7, 43.4, 43.1, 42.6, 41.4, 41.3, 41.3, 41.3, 41.3, 41.1, 
## 40.3, 40.2, 40, 39.9, -87.4, -87.3, -87.2, -87.2, -87.1, -87.2, 
## -87, -87, -86.9, -86.9, -86.9, -86.8, -86.7, -86.7, -86.6, -86.6, 
## -86.6, -86.4, -86.4, -86.2, -86.1, -86, -86, -86, -86, -86, -86, 
## -86, -86.1, -86, -86, -85.8, -85.8, -85.8, -85.8, -85.7, -85.7, 
## -85.7, -85.7, -85.6, -85.6, -85.6, -85.6, -85.7, -85.7, -85.9, 
## -85.9, -86, -86, -86.4, -87, -87, -87, -87, -87, -87.1, -87.1, 
## -87.1, -87.1, -87.1, -87.1, -87.2, -87.2, -87.2, -87.2, -87.3, 
## -87.3, -87.3, -87.4, -87.4, -87.5, -87.5, -87.6, -87.7, -87.8, 
## -87.9, -88, -88.1, -87.9, -87.9, -87.9, -88, -88.1, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.1, -88.1, -88, -88, -88, -88, -88.2, 
## -88.2, -88.2, -88.3, -88.4, -88.4, -88.4, -88.4, -88.4, -88.3, 
## -88.2, -88.2, -88.2, -88.2, -88.1, -88, -88, -87.9, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -88, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.6, 
## -87.6, -87.6, -87.5, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, 
## -87.3, -87.3, -87.2, -87.2, -87.2, -87.3, -87.5, -87.6, -87.7, 
## -87.7, -87.7, -87.6, -87.6, -87.6, -87.5, -87.4, -87.3, -87.3, 
## -87.4, -87.4, -87.8, -87.7, -87.7, -87.7, -87.7, -87.6, -87.6, 
## -87.6, -87.6, -87.5, -87.5, -87.5, -87.6, -87.6, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.6, -87.6, -87.7, -88, -88.1, -88.1, 
## -88.1, -88.1, -88, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88, -88, -88, -88.1, -88.1, -87.9, -87.9, -87.7, -87.7, -87.7, 
## -87.8, -87.9, -88.1, -88.3, -88.4, -88.6, -88.6, -88.6, -88.6, 
## -88.5, -88.5, -88.5, -88.4, -88.3, -88.4, -88.4, -88.4, -88.4, 
## -88.5, -88.5, -88.5, -88.5, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.5, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.7, -88.7, 
## -88.7, -88.7, -85.6, -85.8, -87.6, -88.7, -88.6, -88.3, -86.9, 
## -87.8, -87.5, -87.3, -86.6, -86, -84.9, -88.8, -88.8, -88.8, 
## -88.8, -88.7, -88.7, -88.7, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.1, 
## -88.2, -88.3, -88.2, -88, -87.6, -87.5, -87.3, -86.3, -85.9, 
## -83.4, -82.7, -80.9, -81.9, -82.4, -85.2, -87.6, -88, -88.4, 
## -88.9, -89, -89, -89.1, -88.9, -88.6, -88.4, -87.9, -87.3, -87.2, 
## -86.7, -82.5, -81.5, -81.3, -81, -80.7, -80.6, -80.9, -81.7, 
## -81.9, -82.2, -87.5, -88, -88, -88, -88, -88, -87.8, -87.5, -86.3, 
## -84.4, -82.8, -82.3, -80.6, -80.4, -80.5, -80.8, -81.9, -82.7, 
## -83.8, -85.4, -86.5, -86.8, -87.4, -87.6, -87.7, -87.7, -87.6, 
## -87.6, -87.5, -87.5, -87.3, -87.2, -87, -86.7, -86.5, -85.4, 
## -83.6, -83.1, -82.2, -81.2, -81, -79.1, -78.9, -79.5, -80.1, 
## -81.4, -84, -84.3, -85.3, -85.9, -85.9, -85.7, -85.3, -85.3, 
## -85, -84.7, -84.3, -78.3, -78.1, -77.6, -77.4, -77.7, -77.8, 
## -78, -78.7, -81.3, -82.5, -84.5, -84.8, -85.7, -85.7, -85.4, 
## -85.4, -85.4, -85.4, -85.4, -85.3, -83.7, -83.2, -82.4, -81.7, 
## -80.5, -80.1, -79.3, -79, -77.1, -76.7, -76.6, -76.6, -76.7, 
## -76.8, -76.9, -77, -77.8, -81.4, -83, -83.3, -83.7, -84.6, -85, 
## -84.9, -84.9, -84.9, -81.3, -80.7, -79.4, -78.7, -77.7, -77.4, 
## -77.4, -77.5, -79.1, -79.4, -82.4, -83, -83.2, -83.6, -84.8, 
## -84.9, -84.9, -84.9, -85.6, -86.1, -86.2, -86.2, -86.1, -85.9, 
## -85.3, -84.8, -84.4, -84.1, -82.9, -82.6, -81.9, -81.4, -81.1, 
## -80.4, -80.5, -80.8, -81.2, -83.1, -84.2, -84.6, -85.8, -87.1, 
## -87.2, -87.4, -87.4, -87.4, -85.6, -86, -86.1, -86.5, -86.5, 
## -86.5, -86.5, -86.5, -86.5, -86.8, -86.9, -87.6, -87.7, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, 
## -87.9, -87.9, -88, -88, -88.1, -88, -88.2, -88.2, -88.3, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, 168, 168, 167, 167, 166, 165, 
## 163, 163, 161, 159, 158, 158, 157, 157, 156, 156, 152, 151, 151, 
## 149, 146, 146, 146, 145, 145, 144, 144, 144, 144, 144, 144, 145, 
## 145, 146, 147, 147, 147, 148, 148, 147, 147, 146, 145, 145, 145, 
## 144, 144, 144, 142, 141, 141, 139, 137, 136, 135, 134, 133, 133, 
## 132, 132, 131, 131, 131, 131, 131, 131, 132, 132, 132, 132, 132, 
## 133, 134, 135, 135, 135, 136, 136, 136, 136, 134, 131, 131, 131, 
## 130, 130, 129, 129, 126, 126, 125, 125, 125, 125, 125, 125, 125, 
## 125, 126, 127, 128, 128, 129, 130, 130, 130, 131, 132, 132, 133, 
## 133, 133, 133, 133, 133, 133, 133, 133, 133, 132, 132, 131, 130, 
## 130, 130, 130, 130, 129, 129, 128, 128, 129, 129, 128, 127, 127, 
## 126, 126, 126, 126, 127, 127, 128, 128, 129, 130, 131, 131, 124, 
## 123, 124, 124, 124, 124, 124, 125, 125, 126, 127, 127, 128, 128, 
## 128, 129, 131, 131, 134, 134, 134, 133, 132, 132, 132, 131, 130, 
## 130, 129, 129, 129, 129, 128, 127, 126, 126, 126, 126, 126, 127, 
## 127, 127, 127, 128, 128, 128, 130, 132, 132, 133, 135, 135, 135, 
## 135, 134, 134, 134, 133, 133, 131, 131, 131, 131, 131, 130, 130, 
## 130, 131, 131, 131, 132, 132, 132, 132, 132, 132, 132, 133, 133, 
## 133, 134, 134, 134, 133, 133, 133, 133, 132, 132, 131, 131, 130, 
## 129, 129, 129, 129, 128, 128, 127, 127, 127, 127, 126, 126, 126, 
## 127, 127, 128, 128, 128, 128, 127, 127, 132, 131, 130, 130, 128, 
## 123, 123, 123, 128, 129, 129, 130, 130, 130, 130, 131, 131, 132, 
## 132, 136, 136, 137, 138, 138, 139, 140, 140, 140, 140, 140, 140, 
## 139, 138, 137, 136, 131, 131, 131, 132, 132, 130, 130, 129, 129, 
## 128, 128, 126, 125, 14.5, 14.3, 13.7, 13.2, 13.1, 13.1, 13.1, 
## 13.2, 13.2, 13.2, 14, 14.9, 14.9, 13, 12.6, 12.5, 14.9, 17.1, 
## 17.4, 17.4, 17, 16.7, 16.2, 14, 14, 14.2, 15.1, 16, 16.4, 17.7, 
## 18.7, 19.9, 19.9, 19.8, 19.7, 19.7, 19.8, 19.8, 20.4, 20.5, 20.4, 
## 20.1, 21.4, 21.1, 20.4, 20.1, 20.2, 20.4, 20.3, 19.9, 19.3, 18.2, 
## 16.9, 16.7, 17, 18, 18.2, 18.4, 18.9, 20, 18.9, 18.3, 18.2, 17.8, 
## 17.6, 17.7, 18.5, 18.8, 18.6, 18.7, 18.7, 19, 19.3, 19.3, 19.1, 
## 17.8, 15.8, 15.9, 16.1, 16.7, 16.9, 16.8, 16.6, 14.7, 14.2, 12.5, 
## 10.3, 9.67, 9.69, 10.2, 19.6, 20, 20.5, 21, 21.4, 22.9, 23.3, 
## 24.1, 24.6, 24.4, 24.2, 23.8, 22.3, 21.8, 21.2, 20.6, 19.5, 18.2, 
## 17, 16.9, 16.9, 19.9, 20.3, 20.9, 21.7, 22, 22.5, 21.8, 21.5, 
## 20.6, 20.1, 21, 19.7, 19.2, 18.9, 18.3, 18.1, 17.8, 17.2, 17, 
## 16.4, 16.3, 16.2, 16, 15.5, 15.1, 15, 14.7, 14.6, 14.5, 14.5, 
## 14.4, 14.4, 14.3, 14.3, 14, 13.8, 13.6, 13.6, -88.2, -88.3, -88.5, 
## -88.6, -88.6, -88.7, -88.7, -88.7, -88.7, -88.7, -88.7, -88.7, 
## -88.8, -88.7, -88.7, -88.8, -88.8, -88.8, -88.7, -88.7, -88.7, 
## -88.7, -88.6, -88.6, -88.5, -88.5, -88.5, -88.5, -88.4, 55, 54.6, 
## 54.2, 53.3, 50.6, 50.3, 50.4, 50.5, 50.8, 51, 51.2, 51.4, 51.7, 
## 52.9, 54.5, 54.9, 55.3, -86.9, -87, -87, -87, -87.1, -87.2, -87.2, 
## -87.2, -87.3, -87.3, -87.3, -87.4, -87.4, -87.5, -87.5, -87.6, 
## -87.6, -87.2, -87.1, -87, -86.4, -86.2, -85.5, -83.4, -81.2, 
## -80.7, -80.6, -80.3, -80.2, -80.1, -80.3, -84.7, -84.4, -82.7, 
## -82.3, -81.4, -81.2, -81.3, -80.9, -80.8, -80.5, -80.4, -80.3, 
## -80.4, -81.5, -82.7, -83.4, -84.3, -85, -85.3, -88.6, -88.6, 
## -88.6, -88.6, -88.5, -88.5, -88.5, -88.5, -88.5, -88.4, -88.4, 
## -88.4, -88.3, -88.2, -88.6, -88.7, -88.7, -88.6, -88.6, -88.4, 
## -88.4, -87.7, -87.6, -87.5, -87.4, -87.2, -86.1, -85.8, -87.4, 
## -87.4, -87.4, -87.4, -87.7, -87.8, -87.9, -87.9, -88.1, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -86.2, -86.1, 
## -86.3, -86.3, -86.4, -86.4, -86.4, -86.4, -86.4, -86.4, -86.5, 
## -86.4, 23.2, 23.7, 25.5, 26, 26, 25.8, 24.8, 23.9, 23.7, 23.5, 
## 23.1, 22.7, 21.9, 21.7, 21.6, 20.9, 20.5, 20, 19.9, 11.9, 13.4, 
## 14.4, 14.9, 16.5, 16.9, 17.5, 17.8, 18.3, 18.2, 18.3, 18.3, 18.5, 
## 18.9, 16.3, 16, 16, 16.1, 17.3, 18.2, 18.3, 18.4, 18.4, 16.2, 
## 16.2, 15.3, 15.2, 15.2, 15.9, 15.6, 15.6, 16.4, 16.7, 18.7, 18.6, 
## 18.2, 16, 15.7, 15.5, 15.6, 15.7, 16.8, 13.7, 13.8, 14.4, 14.6, 
## 14.6, 14.4, 12.9, 12.1, 11.8, 10.9, 10.8, 11.3, 11.5, -92.3, 
## -92.2, -92, -91.8, -91.7, -91.6, -91.5, -92, -92.5, -92.8, -92.8, 
## -92.9, -93, -92.2, -92.8, -92.9, -93, -93.1, -93.1, -93.2, -93.2, 
## -92.9, -92.7, -92.6, -92.7, -92.7, -92.7, -91.1, -91.3, -91.3, 
## -91.6, -91.8, -91.9, -91.9, -91.9, -91.9, -91.9, -91.9, -92, 
## -92.1, -92.1, -92.1, -92.7, -92.6, -92.5, -92.5, -92.5, -92.5, 
## -92.4, -92.3, -92, -92, -91.4, -91.4, -91.3, -91.3, -91.3, -91.2, 
## -91.1, -91.1, -91.1, -91.1, -91.1, -91.1, -171, 178, 173, 172, 
## 171, 168, 161, 124, 124, 124, 124, 125, 127, 129, 129, 130, 131, 
## 132), total_accel_belt = c(3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 4, 3, 4, 4, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 
## 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 
## 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 21, 21, 21, 21, 
## 20, 21, 21, 21, 20, 21, 21, 20, 20, 20, 21, 20, 20, 20, 20, 20, 
## 20, 20, 20, 21, 21, 20, 21, 21, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 21, 21, 20, 20, 20, 20, 20, 20, 20, 19, 
## 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 
## 19, 20, 20, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 19, 20, 19, 20, 19, 20, 20, 19, 19, 19, 19, 20, 19, 20, 
## 20, 20, 20, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 20, 19, 19, 19, 
## 20, 20, 19, 20, 20, 20, 20, 19, 20, 20, 20, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 20, 20, 20, 19, 20, 20, 20, 19, 19, 19, 19, 19, 
## 20, 19, 19, 20, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 19, 20, 
## 20, 20, 19, 19, 20, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 
## 20, 20, 19, 20, 19, 19, 20, 19, 20, 20, 20, 20, 20, 19, 19, 19, 
## 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 18, 17, 18, 18, 18, 18, 18, 19, 18, 17, 19, 17, 18, 18, 18, 19, 
## 19, 18, 19, 19, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 18, 19, 19, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 17, 
## 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 20, 17, 17, 17, 17, 
## 17, 18, 18, 18, 17, 17, 17, 17, 18, 17, 17, 18, 18, 18, 18, 17, 
## 17, 18, 20, 17, 16, 17, 17, 17, 17, 17, 17, 18, 18, 17, 18, 17, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 18, 18, 17, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 19, 18, 18, 18, 19, 18, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 
## 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 18, 17, 17, 17, 17, 18, 17, 18, 18, 18, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 
## 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 17, 18, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 18, 
## 18, 18, 17, 18, 18, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 18, 17, 18, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 18, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 
## 17, 18, 18, 18, 17, 18, 18, 17, 17, 18, 17, 17, 18, 17, 17, 17, 
## 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 18, 17, 18, 18, 18, 18, 
## 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 18, 17, 17, 17, 18, 18, 18, 17, 18, 18, 18, 18, 17, 18, 17, 
## 17, 17, 18, 17, 17, 17, 17, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 3, 
## 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 
## 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 
## 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 
## 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 
## 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 
## 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 
## 5, 5, 6, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 
## 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 
## 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 
## 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 
## 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 
## 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 
## 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 6, 6, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 
## 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 5, 3, 4, 
## 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 
## 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 
## 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 
## 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 
## 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 5, 4, 4, 5, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 18, 18, 17, 18, 17, 18, 18, 18, 17, 17, 17, 18, 18, 17, 
## 18, 18, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 20, 20, 19, 19, 
## 19, 19, 20, 19, 19, 20, 19, 19, 19, 19, 19, 20, 16, 16, 17, 17, 
## 17, 19, 20, 20, 18, 17, 17, 18, 17, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 17, 18, 18, 18, 18, 17, 18, 18, 17, 19, 18, 18, 17, 
## 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 
## 18, 17, 18, 17, 17, 18, 18, 17, 17, 18, 17, 17, 18, 16, 17, 17, 
## 17, 17, 17, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 18, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 17, 18, 17, 17, 
## 17, 17, 17, 17, 18, 18, 18, 18, 18, 17, 18, 17, 18, 18, 18, 17, 
## 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 17, 18, 18, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 18, 17, 18, 18, 18, 17, 17, 18, 18, 18, 17, 18, 18, 18, 18, 
## 18, 18, 17, 18, 17, 17, 18, 18, 18, 18, 18, 18, 17, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 17, 18, 18, 18, 17, 18, 17, 18, 17, 18, 17, 18, 
## 18, 18, 17, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 19, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 17, 18, 18, 17, 
## 18, 18, 17, 17, 18, 17, 18, 19, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 
## 17, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 17, 17, 17, 18, 18, 17, 17, 18, 18, 18, 18, 17, 18, 17, 17, 
## 18, 17, 17, 17, 18, 17, 16, 17, 17, 17, 17, 18, 17, 18, 17, 17, 
## 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 17, 18, 18, 18, 19, 18, 18, 17, 
## 18, 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 
## 18, 18, 18, 18, 19, 18, 18, 19, 18, 18, 18, 18, 18, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 17, 17, 17, 17, 
## 18, 17, 17, 17, 17, 17, 18, 17, 17, 18, 17, 17, 17, 18, 18, 17, 
## 18, 18, 18, 17, 17, 17, 18, 17, 17, 18, 18, 18, 17, 18, 18, 17, 
## 18, 18, 18, 18, 17, 17, 18, 17, 17, 17, 17, 18, 17, 17, 18, 18, 
## 18, 17, 18, 17, 17, 17, 18, 18, 18, 18, 18, 17, 17, 18, 18, 17, 
## 17, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
## 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 17, 17, 18, 17, 17, 17, 
## 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 20, 20, 20, 20, 18, 
## 19, 20, 19, 19, 18, 17, 16, 16, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 
## 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 
## 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 20, 20, 19, 19, 18, 19, 19, 
## 20, 20, 19, 20, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 
## 20, 20, 20, 20, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 
## 21, 21, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 20, 19, 
## 20, 20, 20, 20, 20, 20, 21, 20, 20, 20, 20, 20, 19, 19, 20, 20, 
## 20, 20, 20, 21, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 20, 20, 20, 20, 20, 20, 19, 18, 18, 18, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 21, 20, 20, 20, 20, 20, 20, 20, 19, 18, 18, 
## 20, 20, 20, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 
## 19, 19, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 19, 18, 18, 18, 
## 19, 19, 19, 19, 19, 20, 19, 18, 19, 19, 19, 19, 19, 19, 19, 19, 
## 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 21, 21, 20, 19, 18, 18, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 
## 19, 20, 19, 20, 20, 20, 19, 20, 19, 19, 19, 19, 18, 19, 18, 19, 
## 19, 19, 20, 20, 19, 19, 19, 19, 18, 18, 18, 19, 19, 21, 20, 19, 
## 19, 20, 19, 19, 20, 20, 20, 20, 21, 20, 20, 20, 19, 19, 19, 18, 
## 19, 19, 19, 19, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 19, 19, 
## 18, 19, 19, 19, 19, 20, 21, 20, 20, 20, 19, 19, 20, 19, 19, 19, 
## 18, 18, 18, 19, 19, 19, 4, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 
## 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 
## 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 
## 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 
## 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 
## 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 
## 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 
## 1, 2, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 
## 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 
## 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 
## 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 
## 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 
## 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 
## 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 
## 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 
## 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 
## 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 
## 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 
## 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 5, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 
## 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 
## 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 
## 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 
## 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 
## 5, 5, 5, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 3, 
## 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 
## 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 
## 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
## 18, 18, 18, 18, 18, 17, 18, 18, 17, 18, 17, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 17, 18, 17, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 
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## 9, 10, 10, 10, 10, 9, 9, 7, 5, 2, 2, 2, 3, 3, 4, 4, 4, 5, 6, 
## 7, 5, 4, 4, 4, 3, 3, 3, 3, 3, 1, 2, 3, 4, 4, 5, 5, 8, 10, 10, 
## 11, 11, 10, 9, 6, 5, 4, 3, 4, 4, 6, 6, 6, 5, 5, 5, 3, 4, 3, 3, 
## 2, 3, 2, 3, 4, 9, 10, 10, 9, 8, 8, 4, 4, 3, 2, 2, 4, 2, 4, 5, 
## 4, 3, 3, 2, 2, 1, 2, 4, 4, 5, 7, 8, 9, 9, 10, 10, 8, 6, 5, 4, 
## 3, 2, 2, 1, 3, 3, 4, 4, 3, 4, 5, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 
## 3, 3, 4, 5, 6, 7, 8, 8, 10, 10, 10, 9, 10, 10, 8, 5, 3, 3, 3, 
## 3, 2, 3, 3, 3, 3, 3, 5, 6, 5, 6, 6, 5, 5, 5, 4, 4, 4, 2, 3, 3, 
## 3, 2, 1, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 
## 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 
## 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 6, 5, 5, 
## 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 4, 4, 
## 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 18, 18, 18, 17, 
## 17, 17, 17, 17, 17, 17, 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 18, 17, 
## 17, 17, 18, 18, 17, 17, 17, 17, 17, 17, 18, 18, 17, 17, 17, 18, 
## 18, 18, 17, 18, 18, 18, 17, 17, 17, 17, 18, 17, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 17, 18, 18, 18, 17, 
## 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 
## 17, 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 
## 17, 17, 17, 17, 17, 18, 18, 18, 17, 18, 17, 17, 17, 17, 18, 17, 
## 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 17, 18, 17, 17, 17, 17, 17, 18, 18, 18, 18, 17, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 20, 20, 18, 18, 19, 
## 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 
## 18, 17, 17, 17, 18, 17, 17, 17, 18, 18, 17, 17, 17, 18, 18, 18, 
## 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 17, 17, 18, 18, 17, 18, 
## 18, 17, 17, 18, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 18, 17, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 17, 18, 18, 17, 18, 18, 18, 18, 18, 17, 18, 17, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 17, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
## 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 17, 18, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 17, 17, 17, 
## 18, 17, 18, 18, 17, 17, 17, 17, 18, 17, 17, 4, 4, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 
## 4, 5, 4, 4, 2, 4, 5, 5, 10, 10, 11, 10, 10, 5, 3, 4, 5, 5, 5, 
## 6, 5, 5, 4, 3, 2, 2, 2, 3, 3, 4, 2, 1, 7, 9, 10, 11, 11, 11, 
## 11, 11, 11, 11, 11, 10, 9, 6, 5, 3, 3, 2, 3, 5, 5, 4, 3, 3, 2, 
## 2, 1, 1, 2, 1, 2, 2, 3, 6, 9, 10, 10, 10, 9, 7, 5, 0, 3, 3, 5, 
## 5, 5, 5, 19, 20, 19, 19, 19, 19, 20, 19, 19, 18, 18, 18, 19, 
## 18, 20, 18, 18, 19, 19, 20, 20, 20, 20, 20, 19, 20, 20, 19, 20, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 18, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 
## 2, 4, 8, 22, 18, 9, 8, 5, 7, 8, 9, 8, 9, 10, 10, 10, 10, 9, 9, 
## 9, 8, 8, 5, 19, 19, 19, 18, 18, 17, 17, 17, 17, 16, 16, 16, 17, 
## 16, 16, 16, 16, 16, 16, 18, 18, 17, 19, 22, 24, 24, 25, 25, 25, 
## 26, 25, 25, 25, 25, 25, 24, 21, 20, 20, 20, 19, 20, 20, 19, 19, 
## 18, 17, 16, 18, 17, 16, 16, 16, 16, 16, 17, 18, 17, 17, 17, 17, 
## 20, 20, 21, 20, 21, 21, 21, 20, 19, 18, 18, 18, 19, 18, 18, 18, 
## 17, 17, 18, 19, 18, 20, 20, 20, 21, 19, 20, 13, 19, 18, 18, 18, 
## 19, 19, 17, 16, 16, 16, 16, 16, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 
## 3, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 7, 6, 6, 6, 5, 5, 
## 4, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 4, 3, 2, 2, 
## 1, 1, 1, 1, 2, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 2, 2, 2, 1, 1, 1, 
## 0, 1, 1, 1, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 
## 4, 4, 4, 2, 2, 1, 3, 3, 4, 4, 4, 1, 2, 2, 2, 2, 2, 3, 3, 3, 1, 
## 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 2, 3, 5, 5, 5, 2, 2, 2, 2, 2, 3, 
## 2, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 1, 3, 
## 3, 2, 2, 3, 3, 2, 1, 1, 2, 2, 1, 3, 6, 7, 8, 7, 6, 4, 3, 3, 3, 
## 4, 3, 5, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 4, 4, 4, 5, 5, 5, 6, 4, 
## 4, 3, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 4, 5, 4, 4, 3, 3, 3, 2, 1, 
## 1, 1, 3, 2, 2, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 
## 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 18, 
## 18, 19, 18, 21, 24, 25, 25, 24, 24, 23, 24, 25, 24, 24, 22, 21, 
## 18, 18, 17, 19, 19, 19, 19, 19, 19, 21, 22, 23, 24, 25, 24, 22, 
## 20, 21, 23, 23, 23, 23, 24, 24, 24, 20, 21, 22, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 21, 21, 21, 21, 24, 24, 24, 23, 23, 25, 25, 
## 25, 23, 22, 20, 20, 21, 21, 18, 18, 19, 18, 18, 18, 18, 18, 17, 
## 17, 18, 20, 20, 21, 22, 21, 22, 23, 24, 26, 26, 26, 27, 26, 26, 
## 26, 26, 25, 26, 26, 25, 25, 20, 20, 19, 18, 18, 17, 18, 17, 17, 
## 16, 16, 16, 17, 16, 17, 17, 17, 17, 19, 19, 22, 25, 25, 25, 26, 
## 26, 28, 27, 26, 26, 25, 22, 21, 21, 20, 20, 19, 19, 19, 18, 17, 
## 17, 17, 17, 18, 17, 19, 19, 20, 20, 21, 22, 22, 23, 23, 23, 23, 
## 24, 25, 24, 24, 24, 25, 25, 25, 24, 24, 24, 23, 22, 22, 22, 21, 
## 21, 20, 20, 20, 20, 19, 19, 18, 18, 18, 18, 19, 19, 19, 19, 19, 
## 19, 19, 21, 20, 20, 20, 21, 23, 22, 24, 24, 23, 26, 27, 25, 26, 
## 25, 25, 24, 24, 24, 23, 23, 22, 22, 21, 20, 20, 19, 18, 17, 15, 
## 16, 15, 16, 16, 17, 17, 18, 20, 21, 22, 23, 26, 26, 26, 26, 26, 
## 25, 24, 24, 24, 23, 21, 21, 20, 20, 18, 17, 17, 17, 17, 17, 18, 
## 18, 18, 20, 21, 22, 23, 23, 26, 26, 26, 26, 27, 27, 25, 25, 26, 
## 25, 26, 25, 24, 23, 21, 20, 20, 19, 19, 16, 16, 15, 16, 16, 17, 
## 16, 16, 20, 21, 21, 22, 21, 22, 23, 22, 22, 25, 26, 26, 26, 26, 
## 26, 26, 26, 25, 24, 23, 23, 21, 21, 21, 20, 19, 18, 17, 17, 17, 
## 15, 16, 16, 16, 15, 16, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 
## 19, 20, 20, 27, 27, 26, 26, 26, 25, 24, 22, 21, 20, 20, 19, 18, 
## 17, 17, 18, 17, 16, 17, 17, 17, 18, 18, 18, 18, 18, 19, 23, 24, 
## 24, 26, 25, 26, 25, 26, 26, 27, 26, 27, 27, 27, 27, 26, 26, 26, 
## 26, 26, 24, 23, 22, 22, 20, 20, 20, 20, 19, 18, 18, 17, 17, 18, 
## 18, 18, 19, 19, 19, 19, 20, 23, 23, 23, 23, 26, 26, 26, 26, 26, 
## 26, 27, 28, 28, 28, 27, 26, 26, 25, 22, 19, 19, 19, 18, 18, 18, 
## 16, 16, 17, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 
## 18, 19, 19, 19, 19, 19, 19, 19, 19, 18, 17, 18, 18, 19, 18, 18, 
## 18, 20, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 4, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 
## 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 
## 5, 3, 3, 3, 3, 17, 8, 13, 9, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 3, 4, 2, 2, 2, 2, 
## 2, 3, 3, 6, 3, 3, 2, 3, 3, 3, 7, 3, 4, 7, 5, 4, 4, 3, 2, 2, 5, 
## 4, 4, 5, 5, 4, 4, 4, 2, 3, 3, 3, 7, 5, 5, 6, 6, 4, 3, 5, 1, 2, 
## 3, 4, 5, 5, 4, 3, 1, 2, 5, 3, 2, 4, 4, 5, 2, 4, 5, 5, 5, 4, 3, 
## 3, 3, 3, 4, 2, 2, 3, 2, 2, 5, 4, 3, 3, 1, 3, 3, 3, 4, 3, 2, 5, 
## 4, 3, 3, 3, 4, 2, 6, 6, 6, 5, 4, 5, 1, 3, 4, 4, 5, 4, 3, 6, 5, 
## 5, 4, 3, 4, 4, 4, 3, 1, 2, 4, 4, 3, 5, 6, 7, 6, 5, 5, 5, 4, 4, 
## 3, 3, 3, 6, 4, 5, 4, 5, 2, 1, 3, 6, 7, 6, 4, 4, 2, 2, 4, 3, 3, 
## 2, 4, 5, 4, 4, 3, 4, 3, 3, 3, 2, 3, 3, 1, 1, 2, 2, 3, 3, 4, 4, 
## 4, 4, 3, 2, 3, 3, 2, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 4, 4, 
## 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 17, 17, 17, 17, 18, 18, 19, 18, 20, 21, 
## 21, 21, 22, 22, 26, 27, 25, 24, 24, 26, 26, 25, 26, 26, 25, 24, 
## 24, 24, 21, 21, 20, 19, 18, 18, 17, 17, 17, 17, 17, 17, 16, 16, 
## 16, 16, 15, 16, 16, 17, 17, 17, 18, 20, 23, 22, 24, 24, 23, 23, 
## 24, 25, 25, 26, 26, 27, 27, 26, 27, 25, 24, 24, 24, 22, 20, 19, 
## 19, 18, 18, 17, 17, 17, 18, 17, 17, 19, 19, 19, 21, 21, 23, 24, 
## 25, 25, 25, 24, 26, 25, 25, 25, 22, 21, 20, 20, 19, 19, 20, 20, 
## 19, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 17, 16, 17, 
## 18, 19, 20, 21, 20, 21, 22, 23, 23, 24, 24, 24, 25, 25, 27, 27, 
## 27, 27, 25, 24, 22, 22, 20, 19, 19, 18, 20, 22, 22, 22, 23, 25, 
## 25, 24, 25, 25, 25, 25, 24, 24, 24, 23, 20, 19, 17, 16, 16, 16, 
## 17, 17, 17, 19, 21, 22, 20, 21, 21, 21, 20, 23, 25, 25, 25, 25, 
## 25, 25, 24, 24, 24, 23, 24, 24, 24, 23, 23, 22, 17, 18, 19, 18, 
## 21, 22, 22, 23, 23, 23, 24, 24, 24, 24, 24, 24, 25, 26, 26, 26, 
## 25, 24, 23, 22, 22, 21, 21, 19, 19, 19, 17, 17, 17, 17, 17, 17, 
## 17, 18, 18, 19, 19, 17, 18, 18, 22, 22, 23, 24, 26, 25, 26, 26, 
## 25, 25, 26, 26, 25, 24, 24, 24, 24, 22, 21, 16, 17, 18, 19, 21, 
## 25, 25, 24, 21, 19, 19, 19, 18, 18, 17, 17, 17, 17, 17, 19, 19, 
## 19, 18, 18, 17, 17, 16, 17, 17, 17, 18, 18, 17, 17, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 16, 16, 18, 20, 24, 21, 22, 21, 20, 
## 20, 20, 20, 20, 20, 21, 21, 23, 23, 24, 24, 25, 21, 22, 22, 23, 
## 24, 24, 23, 22, 23, 25, 25, 24, 25, 24, 24, 24, 23, 23, 23, 21, 
## 20, 21, 21, 20, 19, 20, 20, 20, 21, 21, 23, 24, 23, 23, 24, 24, 
## 23, 25, 27, 25, 24, 24, 23, 20, 21, 20, 19, 19, 21, 20, 19, 19, 
## 19, 20, 20, 22, 25, 24, 25, 20, 20, 20, 22, 22, 23, 23, 25, 25, 
## 25, 24, 23, 23, 24, 20, 19, 20, 20, 21, 20, 21, 23, 24, 24, 25, 
## 24, 23, 23, 23, 23, 24, 24, 25, 25, 26, 24, 24, 23, 22, 22, 25, 
## 20, 22, 20, 19, 19, 22, 22, 23, 23, 22, 22, 22, 22, 22, 22, 21, 
## 21, 20, 22, 21, 21, 21, 22, 22, 22, 21, 21, 21, 22, 22, 22, 22, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 20, 21, 21, 21, 25, 27, 27, 27, 28, 28, 
## 28, 28, 28, 28, 27, 27, 27, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 4, 4, 4, 2, 2, 2, 2, 3, 4, 3, 4, 4, 4, 3, 3, 
## 3, 1, 1, 2, 3, 3, 3, 3, 4, 3, 4, 5, 4, 2, 3, 2, 2, 3, 4, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 
## 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 20, 20, 21, 22, 23, 22, 22, 
## 23, 22, 22, 23, 22, 22, 22, 22, 22, 22, 22, 22, 27, 25, 24, 23, 
## 24, 24, 23, 25, 23, 21, 21, 20, 19, 20, 25, 24, 24, 24, 25, 23, 
## 22, 23, 24, 21, 20, 19, 19, 17, 19, 19, 24, 24, 24, 24, 22, 23, 
## 20, 20, 19, 20, 20, 19, 18, 20, 21, 23, 23, 23, 24, 23, 24, 23, 
## 23, 25, 25, 2, 2, 3, 2, 3, 3, 4, 2, 2, 2, 2, 1, 3, 3, 3, 3, 5, 
## 5, 5, 5, 4, 3, 3, 2, 2, 2, 2, 3, 1, 1, 1, 2, 2, 1, 2, 2, 3, 3, 
## 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 
## 2, 1, 2, 2, 2, 20, 19, 17, 18, 17, 18, 17, 25, 25, 25, 25, 24, 
## 23, 21, 21, 19, 18, 18), gyros_belt_x = c(0, 0.02, 0.02, 0.03, 
## 0.03, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.03, 
## 0.03, 0.02, 0, 0.02, 0, 0, 0.02, 0.03, 0, -0.02, -0.02, -0.02, 
## 0.02, 0, 0, 0.02, 0.03, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, 0, 0, -0.02, 0, 0, 0.02, 
## 0.03, 0.03, 0.06, 0.06, 0.05, 0.03, 0, -0.02, -0.03, -0.02, 0, 
## 0, 0.02, 0.02, 0, 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0.03, -0.51, 
## -0.53, -0.51, -0.48, -0.47, -0.47, -0.4, -0.42, -0.45, -0.47, 
## -0.45, -0.4, -0.4, -0.39, -0.43, -0.43, -0.43, -0.43, -0.43, 
## -0.42, -0.4, -0.42, -0.42, -0.43, -0.43, -0.42, -0.42, -0.43, 
## -0.43, -0.43, -0.43, -0.43, -0.43, -0.43, -0.43, -0.42, -0.4, 
## -0.42, -0.43, -0.47, -0.47, -0.47, -0.45, -0.45, -0.45, -0.47, 
## -0.47, -0.51, -0.5, -0.48, -0.48, -0.48, -0.5, -0.48, -0.5, -0.48, 
## -0.47, -0.43, -0.32, -0.31, -0.37, -0.39, -0.43, -0.48, -0.5, 
## -0.47, -0.48, -0.5, -0.5, -0.5, -0.45, -0.43, -0.4, -0.42, -0.43, 
## -0.45, -0.45, -0.42, -0.37, -0.39, -0.4, -0.45, -0.5, -0.58, 
## -0.58, -0.55, -0.58, -0.58, -0.5, -0.5, -0.48, -0.39, -0.37, 
## -0.32, -0.31, -0.32, -0.43, -0.43, -0.45, -0.42, -0.43, -0.43, 
## -0.42, -0.43, -0.43, -0.4, -0.47, -0.45, -0.43, -0.42, -0.43, 
## -0.39, -0.39, -0.35, -0.39, -0.4, -0.4, -0.4, -0.42, -0.48, -0.51, 
## -0.53, -0.51, -0.51, -0.53, -0.56, -0.53, -0.53, -0.45, -0.4, 
## -0.42, -0.42, -0.37, -0.37, -0.35, -0.35, -0.39, -0.45, -0.47, 
## -0.48, -0.53, -0.55, -0.55, -0.55, -0.51, -0.31, -0.39, -0.37, 
## -0.4, -0.39, -0.39, -0.42, -0.43, -0.5, -0.5, -0.48, -0.47, -0.47, 
## -0.43, -0.43, -0.43, -0.43, -0.43, -0.45, -0.43, -0.45, -0.45, 
## -0.47, -0.47, -0.47, -0.43, -0.34, -0.34, -0.35, -0.4, -0.55, 
## -0.5, -0.42, -0.35, -0.34, -0.37, -0.39, -0.4, -0.42, -0.45, 
## -0.48, -0.47, -0.43, -0.43, -0.4, -0.42, -0.43, -0.43, -0.43, 
## -0.43, -0.45, -0.43, -0.42, -0.4, -0.35, -0.35, -0.37, -0.43, 
## -0.45, -0.47, -0.5, -0.51, -0.5, -0.5, -0.42, -0.42, -0.4, -0.4, 
## -0.37, -0.35, -0.37, -0.37, -0.42, -0.4, -0.39, -0.39, -0.4, 
## -0.43, -0.42, -0.42, -0.43, -0.5, -0.5, -0.51, -0.53, -0.53, 
## -0.51, -0.51, -0.5, -0.48, -0.48, -0.35, -0.34, -0.35, -0.37, 
## -0.39, -0.42, -0.47, -0.48, -0.48, -0.5, -0.5, -0.5, -0.42, -0.4, 
## -0.4, -0.4, -0.4, -0.42, -0.43, -0.47, -0.42, -0.39, -0.4, -0.4, 
## -0.39, -0.4, -0.42, -0.47, -0.51, -0.45, -0.43, -0.4, -0.37, 
## -0.37, -0.42, -0.42, -0.45, -0.43, -0.43, -0.42, -0.4, -0.4, 
## -0.4, -0.42, -0.42, -0.42, -0.43, -0.43, -0.47, -0.51, -0.45, 
## -0.45, -0.42, -0.39, -0.4, -0.42, -0.45, -0.45, -0.47, -0.47, 
## -0.48, -0.42, -0.43, -0.43, -0.42, -0.37, -0.47, -0.47, -0.47, 
## -0.47, -0.45, -0.45, -0.43, -0.45, -0.45, -0.43, -0.45, -0.45, 
## -0.43, -0.45, 0.11, 0.06, 0.08, 0.14, 0.08, 0.03, 0.03, 0.06, 
## 0.05, -0.02, 0.02, 0.05, 0.06, 0.06, 0.18, 0.19, 0.19, 0.13, 
## 0.1, 0.1, 0.08, 0.08, 0.08, 0.06, 0.06, 0.05, 0.03, 0.02, 0, 
## -0.02, 0, 0.02, 0.03, 0.02, 0.08, 0.06, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.1, 0.1, 0.08, 0.1, 0.1, 0.08, 0.06, 0.08, 0.1, 0.13, 
## 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.1, 0.08, 0.08, 0.08, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.1, 0.1, 0.06, 0.06, 0.06, 0.03, 0.1, 
## 0.08, 0.1, 0.1, 0.08, 0.1, 0.16, 0.13, 0.11, 0.08, 0.06, 0.06, 
## 0.05, 0.06, 0.08, 0.11, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 0.05, 
## 0.16, 0.18, 0.14, 0.11, 0.1, 0.11, 0.13, 0.13, 0.11, 0.03, 0.03, 
## 0.05, 0.03, 0.08, 0.08, 0.11, 0.13, 0.1, 0.1, 0.1, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.29, 0.08, 0.02, -0.16, -0.22, 
## -0.24, -0.22, -0.1, 0.08, 0.22, 0.22, 0.16, 0.11, 0.13, 0.14, 
## 0.1, 0.18, 0.18, 0.14, 0.14, 0.1, 0.1, 0.14, 0.22, 0.08, 0.03, 
## 0.1, 0.1, 0.1, 0.08, 0.02, 0, 0, 0, 0.03, -0.03, -0.05, -0.05, 
## -0.02, 0, 0.03, 0.11, 0.13, 0.16, 0.19, 0.21, 0.22, 0.34, 0.34, 
## 0.35, 0.37, 0.35, 0.43, 0.45, 0.08, 0.1, 0.06, 0.05, 0, 0, -0.03, 
## -0.06, -0.06, -0.05, -0.05, -0.1, -0.08, -0.08, -0.06, 0, 0.03, 
## 0.06, 0.19, 0.27, 0.29, 0.13, 0.1, 0.03, 0, -0.05, -0.03, 0.02, 
## 0.06, 0.06, 0.08, 0.1, 0.16, 0.16, 0.13, 0.06, 0.13, 0.16, 0.16, 
## 0.14, 0.08, 0.1, 0.11, 0.13, 0.16, 0.18, 0.18, 0.16, 0.14, 0.1, 
## 0.1, 0.1, 0.06, 0.08, 0.16, 0.16, 0.14, 0.14, 0.11, 0.1, 0.1, 
## 0.08, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.13, 0.11, 
## 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.14, 0.14, 0.14, 0.14, 0.11, 
## 0.08, 0.06, 0.06, 0.11, 0.11, 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.08, 0.08, 0.08, 0.1, 0.08, 0.1, 0.1, 0.13, 0.14, 
## 0.16, 0.14, 0.13, 0.11, 0.1, 0.08, 0.1, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.18, 0.16, 0.14, 0.13, 0.11, 0.1, 0.1, 0.1, 0.1, 
## 0.08, 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 0.14, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.14, 0.13, 0.13, 0.11, 0.1, 0.14, 0.14, 0.16, 0.16, 
## 0.16, 0.14, 0.13, 0.08, 0.1, 0.1, 0.11, 0.1, 0.11, 0.14, 0.16, 
## 0.14, 0.11, 0.11, 0.13, 0.11, 0.08, 0.08, 0.08, 0.13, 0.13, 0.11, 
## 0.08, 0.06, 0.13, 0.14, 0.13, 0.1, 0.11, 0.11, 0.13, 0.18, 0.18, 
## 0.18, 0.18, 0.11, 0.1, 0.08, 0.06, 0.1, 0.06, 0.1, 0.1, 0.11, 
## 0.13, 0.11, 0.1, 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.14, 0.13, 0.13, 0.13, 0.1, 0.06, 0.08, 0.08, 0.08, 0.1, 
## 0.1, 0.1, 0.11, 0.13, 0.1, 0.08, 0.1, 0.1, 0.11, 0.14, 0.16, 
## 0.16, 0.16, 0.14, 0.13, 0.11, 0.11, 0.1, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.1, 0.11, 0.11, 0.14, 0.13, 0.11, 
## 0.08, 0.08, 0.1, 0.1, 0.13, 0.13, 0.1, 0.13, 0.13, 0.08, 0.08, 
## 0.11, 0.13, 0.14, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.16, 0.14, 0.08, 0.08, 0.1, 0.08, 0.13, 0.14, 0.14, 0.14, 0.11, 
## 0.11, 0.1, 0.1, 0.11, 0.13, 0.11, 0.11, 0.1, 0.1, 0.11, 0.14, 
## 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 0.08, 0.06, 0.06, 0.08, 
## 0.1, 0.1, 0.1, 0.11, 0.13, 0.14, 0.14, 0.11, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.14, 0.14, 0.14, 0.14, 0.16, 0.13, 0.11, 0.08, 0.06, 
## 0.03, 0.03, 0.06, 0.06, 0.06, 0.06, 0.05, 0.05, 0.06, 0.08, 0.1, 
## 0.11, 0.11, 0.13, 0.14, 0.14, 0.14, -0.06, -0.05, -0.02, 0.05, 
## 0.06, 0.1, 0.08, 0.06, 0.05, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 
## -0.02, -0.03, -0.03, -0.03, -0.05, -0.03, 0.03, 0.02, 0.03, 0.05, 
## 0.06, 0.08, 0.08, 0.08, 0.03, 0.02, 0, 0.02, 0.03, 0.03, 0.02, 
## -0.05, 0.03, 0.03, 0.03, 0, -0.02, -0.03, -0.1, -0.03, -0.03, 
## -0.02, -0.02, 0, 0.05, 0.08, 0.08, 0.05, 0.02, 0, 0, 0, 0.02, 
## 0.02, 0.02, 0.06, 0.08, 0.08, 0.1, 0.08, 0.05, 0.05, 0.02, 0, 
## -0.03, -0.03, -0.03, 0.02, -0.02, 0.06, 0.06, 0.03, 0.02, -0.06, 
## -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.05, -0.02, 0, 0, 
## 0.02, 0.03, 0.08, 0.08, 0.08, 0.05, -0.02, 0.05, 0.05, 0.06, 
## 0.06, 0.06, 0.03, 0.03, 0.02, 0.02, 0.02, 0.03, 0.08, 0.06, 0.03, 
## 0.02, 0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.05, 
## -0.03, 0.1, 0.14, 0.13, 0.1, 0.08, 0.05, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, -0.02, 0.05, -0.06, -0.08, -0.08, -0.06, -0.02, -0.03, 
## -0.02, 0, 0, 0.02, 0.05, 0.03, 0, 0.02, 0.11, 0.03, 0.05, 0.02, 
## 0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 0, 0.03, 0.05, 0.06, 
## 0.06, 0.03, 0.05, 0.03, 0.03, 0.03, -0.02, -0.03, -0.03, -0.03, 
## 0, 0, 0, 0, -0.05, -0.03, -0.02, 0.13, 0.13, 0.08, 0.06, 0.02, 
## 0, -0.1, -0.11, -0.11, -0.1, -0.1, -0.03, 0, 0.05, 0.06, 0.08, 
## 0.08, 0.06, 0.05, 0.03, 0.02, 0.03, 0.05, 0.06, 0.1, 0.1, 0.1, 
## 0.05, 0, 0, 0, -0.02, -0.05, 0, -0.02, -0.02, 0, 0, -0.02, -0.02, 
## 0.02, 0.13, 0.14, 0.08, 0.03, -0.05, -0.06, -0.08, -0.1, -0.1, 
## -0.1, -0.1, -0.08, 0, -0.02, -0.03, -0.05, 0, 0.05, 0.06, 0.06, 
## 0.06, 0.05, 0.05, 0.05, 0.02, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, -0.05, -0.06, -0.05, 0, 0.02, 
## 0.06, 0.16, 0.1, 0.08, 0.02, 0.02, -0.06, -0.06, -0.05, -0.05, 
## 0, 0.03, 0.05, 0.05, 0.03, 0.03, 0.03, 0.03, 0, 0.03, 0.06, 0.08, 
## 0.11, 0.03, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0.03, 0.02, 
## 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 0.03, 0, -0.02, 
## -0.02, 0, 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0.02, 0.05, 0.05, 
## 0.1, 0.06, 0, -0.11, -0.13, -0.13, -0.13, -0.13, -0.11, -0.1, 
## -0.11, -0.11, -0.08, 0, 0.05, 0.05, 0.06, 0.21, 0.16, 0.03, 0.02, 
## -0.02, -0.03, -0.03, -0.05, -0.03, 0, 0.06, 0.13, 0.14, 0.06, 
## 0.05, 0.02, -0.03, -0.03, -0.06, -0.08, -0.08, -0.05, -0.05, 
## -0.11, -0.16, -0.16, -0.16, -0.13, -0.11, -0.05, 0.06, 0.1, 0.1, 
## 0, 0, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0.03, 
## 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0.03, 0.03, 0.03, 0, -0.02, -0.02, 0, 0.02, 0.02, 
## 0.03, 0.03, 0.02, 0, 0, -0.02, 0, 0.02, 0.02, 0.03, 0.02, 0, 
## 0.02, 0.02, 0, 0, 0.03, 0, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 
## 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.03, 0.08, 0.11, 0.1, 
## 0.08, 0.1, 0.06, -0.06, -0.11, -0.11, -0.1, -0.05, -0.02, 0.03, 
## 0.05, 0.08, 0.06, 0.05, 0.05, 0.02, 0, 0, 0, 0, 0.05, 0.06, 0.06, 
## 0.05, 0.05, 0.02, 0, 0, 0, 0, 0, 0.05, 0.02, 0.02, 0, 0, 0.03, 
## 0, 0, 0, 0.02, 0.03, 0.03, 0.05, 0.03, 0.03, 0.03, 0.03, 0.03, 
## 0, -0.02, 0, 0.02, 0.03, 0.05, 0.06, 0.05, 0.02, -0.02, -0.05, 
## -0.03, -0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.03, 
## 0.02, 0.03, 0.03, 0.02, 0.02, 0, 0.02, 0.05, 0.03, 0.02, 0.02, 
## 0.03, 0.03, 0, 0, -0.02, -0.02, 0, 0.02, 0.02, 0, 0.02, 0.02, 
## 0, 0, 0.03, 0.05, -0.03, 0.03, 0.05, 0.03, 0.02, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.03, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.05, 0.02, -0.02, -0.02, -0.03, 0.03, 0.05, 0.05, 0.02, 0.02, 
## 0, 0.02, 0, -0.06, -0.02, -0.02, -0.02, 0.03, 0.05, -0.02, -0.03, 
## -0.03, -0.02, -0.02, -0.02, -0.02, 0.02, 0.03, 0.05, 0.05, 0.1, 
## 0.11, 0.11, 0.11, 0.1, 0.08, 0.06, 0, 0.03, 0.03, 0.02, 0.02, 
## 0.03, 0.06, 0.11, 0.1, 0.06, 0, -0.05, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 0.05, 0.08, 
## 0.1, 0.16, 0.16, 0.14, 0.13, 0.13, 0.11, -0.02, -0.05, -0.06, 
## -0.08, -0.08, -0.02, 0.08, 0.06, 0.03, 0.05, 0.05, 0, -0.03, 
## -0.02, -0.03, -0.03, -0.03, 0, 0, -0.03, -0.02, 0, -0.03, 0.03, 
## 0.08, 0.06, 0.03, -0.05, -0.06, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.03, -0.02, -0.03, -0.03, 0.03, 0.1, 0.18, 0.06, 0.06, 
## 0.06, 0.06, 0.05, 0.05, 0.03, 0.02, -0.02, -0.02, 0, 0, 0, 0.02, 
## 0.03, -0.02, -0.03, 0, 0.02, 0.05, 0.03, 0.02, 0.06, 0.02, 0.03, 
## -0.08, -0.11, -0.13, -0.08, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.03, 0.02, 0.14, 0.18, 0.08, 0.06, 0.06, -0.03, -0.11, -0.06, 
## -0.05, -0.02, 0.02, 0.02, -0.06, -0.08, -0.08, -0.03, -0.02, 
## -0.03, 0.02, 0.03, 0.05, 0.08, 0.08, 0.1, 0.11, 0.13, -0.03, 
## -0.02, 0, 0.02, 0, -0.06, -0.06, 0, 0.13, 0.1, 0.06, 0.03, 0.02, 
## 0, 0, 0, -0.03, -0.03, 0.02, 0.03, 0.05, 0.05, 0.03, 0.02, -0.06, 
## -0.06, -0.03, 0.02, 0.06, 0.08, -0.03, -0.06, -0.08, -0.02, 0.02, 
## 0, 0, -0.02, 0, 0.05, 0.18, 0.14, 0.06, 0.05, 0.05, 0.05, 0.03, 
## 0.02, 0.02, 0.03, 0.05, 0.06, 0.05, 0.02, 0, 0.02, 0.02, 0.05, 
## 0.05, -0.05, -0.05, -0.02, 0.06, 0.08, 0.06, 0.03, -0.03, -0.05, 
## -0.06, -0.03, 0, -0.05, -0.02, 0.02, 0.05, 0.03, 0, -0.03, -0.08, 
## 0.06, 0.06, 0.1, 0.08, 0.03, -0.06, -0.05, 0.06, 0.16, 0.1, -0.02, 
## -0.03, -0.02, 0, 0.03, 0.03, 0.03, 0.02, -0.02, -0.03, -0.03, 
## 0.02, 0.05, 0.02, 0.02, 0, 0, 0, 0.1, 0.06, 0.05, 0.03, 0.02, 
## 0.03, 0.03, 0.08, -0.03, -0.05, -0.06, -0.06, -0.06, -0.06, -0.05, 
## 0.02, 0.03, 0.05, 0.05, 0.03, 0.02, 0.14, 0.05, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.03, -0.03, -0.08, -0.13, -0.02, 0.02, 0.02, 0.03, 
## 0.02, 0.03, 0.03, 0.03, 0.05, 0.06, 0.06, 0, -0.02, 0, -0.02, 
## -0.02, 0, 0, 0.02, 0.03, 0.02, 0.03, 0.02, 0.02, 0.03, 0.03, 
## 0.03, 0.03, 0.03, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 
## 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.03, 0.02, 0.02, 0, 0, 0, 
## 0.02, 0.02, 0.02, 0.02, 0, 0, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.05, 0.02, 
## 0.02, 0.02, 0.02, 0.02, -0.02, -0.02, -0.06, -0.02, 0.11, -0.03, 
## -0.05, -0.05, -0.05, -0.06, -0.05, -0.02, 0.11, 0.08, 0.08, 0, 
## -0.06, 0.05, 0.06, 0.08, 0.06, 0.05, -0.13, 0, 0.05, 0.03, 0.05, 
## 0.05, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 0.1, 0.08, 0.05, 
## -0.02, 0.08, 0.06, 0, -0.05, -0.06, -0.08, -0.02, 0.11, 0.06, 
## -0.03, 0.03, 0.03, 0.05, 0.03, 0.03, 0.03, 0.02, 0.03, 0.03, 
## 0.02, 0, -0.02, 0, 0, -0.02, 0.02, 0.03, 0.05, 0.06, 0.06, 0.05, 
## 0, 0, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0, 
## -0.02, -0.03, -0.03, 0, 0.02, 0.02, 0.03, -0.03, -0.02, 0.03, 
## 0.13, 0.18, 0.18, 0.16, 0.1, 0, -0.08, -0.1, -0.11, -0.02, 0.16, 
## 0.18, 0.16, 0.11, 0.06, 0.03, -0.02, -0.02, -0.03, -0.03, -0.1, 
## -0.08, -0.1, -0.1, -0.05, -0.05, -0.05, -0.06, 0.02, 0.03, 0.06, 
## 0.11, 0.08, 0.1, 0.08, 0.06, 0.03, 0, -0.02, -0.03, -0.06, -0.08, 
## -0.1, -0.1, -0.1, -0.08, -0.03, 0, 0.05, 0.05, 0, -0.03, 0.02, 
## 0.02, 0.02, -0.02, -0.03, -0.05, -0.06, -0.03, -0.03, -0.05, 
## -0.03, 0.03, 0, -0.11, -0.08, 0.14, 0.11, 0.1, 0.1, 0.1, 0.08, 
## 0.06, 0.06, 0.05, -0.06, -0.06, -0.05, -0.03, -0.06, -0.06, 0.06, 
## 0.13, -0.02, 0.02, 0.05, 0.05, 0, -0.05, -0.05, -0.08, -0.08, 
## -0.11, -0.13, -0.11, -0.06, -0.11, -0.13, -0.05, 0, 0.03, 0.18, 
## 0.21, 0.21, 0.21, 0.19, 0.1, 0, -0.02, -0.08, -0.06, -0.05, -0.03, 
## -0.02, -0.02, -0.02, 0.05, 0.08, 0.03, 0.05, 0.05, 0.05, 0, -0.03, 
## -0.06, -0.11, -0.02, -0.02, -0.06, -0.11, -0.1, 0.14, 0.1, 0.11, 
## 0.14, 0.16, 0.16, 0.16, 0.13, 0.02, -0.06, -0.1, -0.11, -0.08, 
## -0.08, 0.14, 0.02, 0.08, 0.08, 0.03, 0, -0.02, -0.03, -0.08, 
## -0.1, -0.06, -0.05, -0.05, 0.03, 0.05, 0.06, 0.06, 0.08, 0.08, 
## 0.05, -0.06, -0.03, -0.05, -0.03, -0.03, 0.05, 0.08, 0.11, 0.1, 
## 0.03, 0, -0.02, -0.03, -0.02, -0.02, -0.03, -0.03, -0.06, -0.06, 
## -0.08, -0.11, -0.1, 0.14, 0.11, 0.13, 0.14, 0.14, 0.08, -0.03, 
## -0.02, 0.02, 0.03, 0.11, -0.03, -0.05, -0.11, -0.1, -0.11, -0.03, 
## -0.03, -0.11, -0.11, -0.05, -0.02, 0.05, 0.19, 0.21, 0.14, 0.1, 
## 0.08, 0.11, 0.13, 0.18, 0.18, 0.14, 0.06, -0.05, -0.06, -0.1, 
## -0.13, -0.13, -0.11, 0.11, 0.06, 0.02, -0.02, -0.02, -0.03, -0.03, 
## -0.05, -0.06, -0.06, -0.05, -0.08, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.03, -0.02, -0.02, 0.11, 0.11, 0.1, 0.11, 0.11, 0.03, 
## 0, -0.06, -0.06, -0.1, 0.1, 0.06, 0.11, 0.03, 0, -0.06, -0.08, 
## -0.05, -0.05, -0.05, -0.05, -0.06, -0.08, -0.06, -0.05, 0.03, 
## 0.05, 0.03, 0.06, 0.06, 0.06, 0.14, 0.21, 0.1, -0.11, -0.11, 
## -0.11, -0.1, -0.05, -0.02, 0.16, 0.14, 0.13, 0.08, 0.05, -0.02, 
## 0.03, 0.06, 0.13, 0.14, 0.14, 0.13, -0.02, -0.05, -0.03, 0, -0.02, 
## -0.02, -0.06, -0.11, -0.13, 0.05, 0.14, 0.14, 0.13, 0.03, -0.06, 
## -0.08, -0.08, -0.06, -0.05, -0.02, 0.02, 0.03, 0.03, 0.05, 0.03, 
## 0.03, 0.06, 0.03, 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0.03, 0.03, -0.03, 0, 0.02, 0.02, 0.06, 0.08, -0.02, 
## -0.02, -0.02, 0.02, -0.03, -0.02, 0, 0.05, 0.05, 0, 0.02, 0, 
## 0.02, 0.06, 0.06, 0.05, 0.05, 0.05, 0.02, -0.03, 0.08, 0.08, 
## 0.08, 0.14, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.14, 0.14, 
## 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 0.08, 0.08, 
## 0.08, 0.08, 0.08, 0.08, 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 
## 0.1, 0.08, 0.06, 0.06, 0.08, 0.11, 0.11, 0.1, 0.1, 0.1, 0.14, 
## 0.1, 0.08, 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.05, 0.06, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.14, 0.16, 0.08, 0.08, 0.1, 0.08, 0.08, 
## 0.08, 0.1, 0.13, 0.14, 0.14, 0.14, 0.13, 0.11, 0.05, 0.05, 0.08, 
## 0.08, 0.11, 0.13, 0.14, 0.13, 0.11, 0.1, 0.1, 0.02, 0.02, 0, 
## 0.02, 0.02, 0.03, 0.03, 0.02, 0.03, 0.05, 0.06, 0.06, 0.08, 0.08, 
## 0.11, 0.11, 0.08, 0.06, 0.13, 0.14, 0.19, 0.24, 0.06, 0.06, 0.14, 
## 0.16, 0.08, -0.02, 0.06, 0.11, 0.05, 0.13, 0.16, 0.16, 0.14, 
## 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.1, 0.03, 0.05, 0.06, 
## 0.26, 0.34, 0.77, 0.77, 0.16, -0.35, -0.35, -0.37, -0.37, -0.37, 
## -0.37, -0.03, 0, 0.03, 0.05, 0.08, 0.08, 0.1, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.18, 0.18, 0.18, 0.16, 0.08, 
## 0.05, -0.06, -0.1, -0.1, -0.1, -0.08, -0.06, -0.1, 0.06, 0.1, 
## 0.05, 0.05, 0.05, 0.14, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.02, 0.05, 0.1, 0.1, 0.13, 
## 0.14, 0.14, 0.18, 0.19, 0.18, 0.21, 0.19, 0.18, 0.16, 0.13, 0.11, 
## 0.1, 0.11, 0.11, 0.08, 0.06, 0.03, 0, -0.02, 0.02, 0.06, 0.1, 
## 0.08, 0.11, 0.16, 0.19, 0.26, 0.19, 0.18, 0.05, 0, 0.02, 0.02, 
## 0.06, 0.1, 0.08, 0.02, 0.16, 0.21, 0.21, 0.21, 0.21, 0.19, 0.14, 
## 0.16, 0.13, 0.14, 0.14, 0.13, 0.14, 0.1, 0.06, 0.05, 0.03, 0.08, 
## 0.08, 0.06, 0.08, 0.08, 0.06, 0.06, 0.08, 0.03, 0.05, 0.1, 0.16, 
## 0.22, 0.22, 0.22, 0.18, 0.14, 0.18, 0.14, 0.16, 0.14, 0.08, 0.1, 
## 0.11, 0.11, 0.08, 0.03, 0.03, 0.06, 0.11, 0.13, 0.14, 0.13, 0.1, 
## 0.1, 0.06, 0.08, 0.1, 0.16, 0.14, 0.14, 0.14, 0.18, 0.22, 0.24, 
## 0.21, 0.14, 0.1, 0.1, 0.06, 0.06, 0.06, 0.06, 0.06, 0.08, 0.08, 
## 0.11, 0.13, 0.13, 0.14, 0.19, 0.21, 0.18, 0.19, 0.18, 0.18, 0.14, 
## 0, 0.02, 0.02, 0.06, 0.08, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.13, 0.16, 0.18, 0.19, 0.19, 0.19, 0.13, 
## 0.18, 0.16, 0.16, 0.16, 0.18, 0.16, 0.08, 0.05, 0.05, 0.1, 0.1, 
## 0.06, 0.14, 0.13, 0.1, 0.1, 0.08, 0.1, 0.1, 0.13, 0.18, 0.08, 
## 0.11, 0.13, 0.13, 0.08, 0.08, 0.22, 0.24, 0.22, 0.14, 0.05, 0.03, 
## 0, -0.02, -0.02, 0.03, 0.14, 0.13, 0.1, 0.1, 0.05, 0.03, 0.03, 
## 0.18, 0.16, 0.16, 0.14, 0.13, 0.11, 0.08, 0.08, 0.06, 0.06, 0.06, 
## 0.1, 0.1, 0.14, 0.14, 0.18, 0.08, 0.11, 0.13, 0.16, 0.16, 0.11, 
## 0.03, 0.02, -0.03, 0.1, 0.11, 0.08, 0.14, 0.16, 0.16, 0.16, 0.16, 
## 0.21, 0.16, 0.14, 0.11, 0.05, 0.03, -0.02, 0, 0, 0.02, 0.03, 
## 0.05, 0.05, 0.08, 0.08, 0.1, 0.1, 0.14, 0.14, 0.16, 0.19, 0.18, 
## 0.14, -0.02, 0.08, 0.16, 0.18, 0.19, 0.19, 0.19, 0.14, 0.13, 
## 0.13, 0.13, 0.13, 0.14, 0.18, 0.19, 0.19, 0.22, 0.22, 0.19, 0.19, 
## 0.18, 0.16, 0.14, 0.16, 0.14, 0.14, 0.05, 0.05, 0.03, 0.05, 0.03, 
## 0.06, 0.06, 0.14, 0.18, 0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 
## 0.13, 0.11, 0.1, 0.06, 0.06, 0.06, 0.1, 0.16, 0.18, 0.13, 0.11, 
## 0.08, 0.06, 0.05, 0.02, 0.03, 0.03, 0.06, 0.08, 0.18, 0.11, 0.1, 
## 0.08, 0.11, 0.1, 0.06, 0.08, 0.1, 0.11, 0.11, 0.13, 0.1, 0.1, 
## 0.11, 0.13, 0.14, 0.14, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.14, 
## 0.13, 0.13, 0.11, 0.11, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.1, 
## 0.1, 0.13, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.14, 0.14, 
## 0.1, 0.08, 0.08, 0.08, 0.06, 0.06, 0.11, 0.13, 0.1, 0.14, 0.18, 
## 0.19, 0.19, 0.18, 0.13, 0.1, 0.13, 0.13, 0.13, 0.14, 0.16, 0.16, 
## 0.16, 0.16, 0.18, 0.18, 0.18, 0.18, 0.18, 0.16, 0.14, 0.16, 0.14, 
## 0.1, 0.1, 0.08, 0.08, 0.11, 0.18, 0.16, 0.14, 0.14, 0.14, 0.08, 
## 0.13, 0.13, 0.1, 0.08, 0.08, 0.1, 0.08, 0.18, 0.16, 0.16, 0.18, 
## 0.16, 0.18, 0.11, 0.08, 0.06, 0.08, 0.08, 0.06, 0.08, 0.08, 0.08, 
## 0.08, 0.1, 0.08, 0.1, 0.11, 0.13, 0.11, 0.11, 0.1, 0.08, 0.1, 
## 0.14, 0.08, 0.05, 0.02, 0, 0.02, 0, 0.05, 0.11, 0.11, 0.1, 0.1, 
## 0.03, 0.03, 0.05, 0.08, 0.11, 0.1, 0.13, 0.16, 0.16, 0.21, 0.14, 
## 0.1, 0.1, 0.06, 0.14, 0.13, 0.11, 0.14, 0.16, 0.18, 0.19, 0.21, 
## 0.19, 0.18, 0.18, -0.02, -0.05, -0.11, -0.13, -0.13, -0.05, -0.13, 
## -0.21, 0.06, 0.1, 0.11, 0.1, 0.06, 0.02, 0, 0, 0, 0, -0.02, 0, 
## -0.02, -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.05, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 
## 0.02, 0, -0.02, -0.03, -0.02, 0, 0.03, 0.08, 0.02, 0.02, 0.03, 
## 0, 0.05, 0.05, 0, -0.16, -0.03, 0.11, 0.14, 0.14, 0.13, 0.05, 
## 0.03, 0, -0.08, -0.1, -0.06, -0.03, -0.02, -0.02, 0, -0.02, 0.02, 
## 0.03, 0.03, 0.03, 0.02, -0.05, -0.06, 0.02, 0.02, 0.02, 0.02, 
## 0, 0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.05, 0.06, 
## 0.06, 0.03, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, -0.05, 0.06, 0.08, 
## 0.08, 0.08, 0.06, 0.05, 0.03, 0.02, 0, 0, 0, 0.05, -0.06, -0.06, 
## -0.08, -0.06, -0.06, -0.05, -0.05, -0.05, -0.02, -0.02, -0.02, 
## -0.02, 0, 0.03, 0.03, -0.03, -0.06, -0.06, 0, 0.05, 0.05, 0.06, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.05, -0.08, -0.06, 0.02, 
## 0.08, 0.1, 0.06, 0, 0.02, 0.03, 0, -0.02, -0.02, 0, 0, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.05, 0.05, 0.05, 
## 0.06, 0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.03, -0.03, -0.05, 
## 0.1, 0.06, -0.55, -0.53, -0.5, -0.45, -0.43, -0.32, -0.37, -0.39, 
## -0.45, -0.45, -0.48, -0.45, -0.43, -0.43, -0.47, -0.48, -0.51, 
## -0.53, -0.53, -0.55, -0.55, -0.5, -0.48, -0.34, -0.39, -0.56, 
## -0.56, -0.35, -0.31, -0.37, -0.43, -0.45, -0.5, -0.51, -0.37, 
## -0.34, -0.37, -0.37, -0.39, -0.47, -0.53, -0.53, -0.37, -0.37, 
## -0.4, -0.42, -0.43, -0.45, -0.47, -0.45, -0.42, -0.42, -0.45, 
## -0.47, -0.43, -0.48, -0.5, 0, 0.02, 0.05, 0.05, 0.05, 0.05, 0.06, 
## 0.05, 0.05, 0.03, 0.02, 0.02, 0.03, 0.03, 0, 0, -0.42, -0.4, 
## -0.4, -0.39, -0.39, -0.4, -0.5, -0.56, -0.59, -0.63, -0.63, -0.58, 
## -0.58, -0.63, -0.31, -0.29, -0.27, -0.34, -0.34, -0.32, -0.35, 
## -0.47, -0.5, -0.43, -0.42, -0.43, -0.39, -0.39, -0.4, -0.35, 
## -0.37, -0.39, -0.47, -0.45, -0.5, -0.43, -0.43, -0.5, -0.5, -0.56, 
## -0.58, -0.58, -0.56, -0.4, -0.37, -0.31, -0.26, -0.26, -0.34, 
## -0.34, -0.39, -0.48, -0.47, -0.45, -0.42, -0.43, -0.5, -0.61, 
## -0.61, -0.56, -0.58, -0.56, -0.56, -0.58, -0.5, -0.4, -0.27, 
## -0.29, -0.26, -0.26, -0.32, -0.34, -0.34, -0.32, -0.39, -0.45, 
## -0.53, -0.48, -0.45, -0.42, -0.39, -0.37, -0.4, -0.48, -0.5, 
## -0.4, -0.4, -0.39, -0.39, -0.34, -0.42, -0.48, -0.53, -0.59, 
## -0.63, -0.55, -0.48, -0.4, -0.37, -0.34, -0.32, -0.29, -0.27, 
## -0.24, -0.51, -0.4, -0.34, -0.37, -0.42, -0.42, -0.43, -0.45, 
## -0.43, -0.43, -0.43, -0.45, -0.45, -0.61, -0.63, -0.61, -0.29, 
## -0.27, -0.27, -0.29, -0.39, -0.56, -0.58, -0.45, -0.45, -0.37, 
## -0.37, -0.42, -0.43, -0.47, -0.45, -0.4, -0.37, -0.35, -0.35, 
## -0.42, -0.56, -0.55, -0.24, -0.18, -0.22, -0.24, -0.42, -0.48, 
## -0.5, -0.51, -0.47, -0.35, -0.35, -0.37, -0.37, -0.48, -0.67, 
## -0.69, -0.64, -0.29, -0.29, -0.24, -0.22, -0.26, -0.22, -0.29, 
## -0.42, -0.5, -0.5, -0.5, -0.43, -0.43, -0.45, -0.45, -0.4, -0.42, 
## -0.45, -0.43, -0.39, -0.39, -0.4, -0.74, -0.79, -0.79, -0.77, 
## -0.75, -0.72, -0.32, -0.27, -0.16, -0.13, -0.32, -0.55, -0.42, 
## -0.71, -0.27, -0.24, -0.22, -0.22, -0.24, -0.27, -0.32, -0.51, 
## -0.59, -0.58, -0.58, -0.47, -0.43, -0.4, -0.37, -0.32, -0.35, 
## -0.37, -0.4, -0.39, -0.37, -0.39, -0.39, -0.39, -0.4, -0.43, 
## -0.45, -0.47, -0.48, -0.67, -0.66, -0.55, -0.14, -0.13, -0.11, 
## -0.11, -0.13, -0.19, -0.35, -0.43, -0.58, -0.56, -0.53, -0.48, 
## -0.5, -0.47, -0.48, -0.4, -0.37, -0.32, -0.27, -0.26, -0.24, 
## 0, 0.13, 0.14, 0.11, 0.03, 0.03, -0.03, -0.05, 0, 0.05, 0.06, 
## 0.02, 0.08, 0.06, 0.05, 0.03, -0.02, -0.02, -0.05, -0.06, -0.05, 
## -0.05, -0.05, -0.06, -0.06, 0.08, 0.13, 0.14, 0.13, 0.06, 0.03, 
## 0, 0.06, 0.08, 0.08, 0.05, 0.03, 0.02, 0.02, 0.03, 0, 0, -0.02, 
## 0.03, 0.06, 0.16, 0.16, 0.03, -0.02, -0.02, -0.03, -0.05, -0.05, 
## 0, 0.03, 0.06, 0.03, 0.02, 0.02, -0.02, 0, 0, 0, -0.02, -0.02, 
## 0, 0.03, 0.08, -0.03, -0.03, -0.05, -0.02, 0, 0.05, 0.02, 0, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 0, 0.02, 0.03, 
## 0.03, -0.1, -0.08, -0.06, -0.05, -0.02, 0, 0, 0, -0.02, -0.06, 
## -0.03, 0.1, 0.08, 0.06, 0.06, 0.06, 0.08, 0.08, 0.06, 0.03, -0.03, 
## 0, 0.03, 0.03, 0.06, 0.05, 0.08, 0.1, -0.02, -0.1, 0.03, 0.13, 
## 0.11, 0.11, 0.03, 0.02, -0.05, -0.02, 0.05, 0.05, 0.03, -0.03, 
## -0.06, -0.06, -0.03, 0.02, -0.02, -0.03, -0.05, 0, -0.03, -0.08, 
## -0.05, -0.03, -0.02, 0.02, 0.02, 0, -0.03, -0.05, -0.08, -0.08, 
## 0.14, 0.14, 0.03, -0.05, 0, 0.02, 0.05, 0.02, 0.02, 0.02, 0.02, 
## -0.02, -0.05, -0.08, -0.1, -0.11, -0.06, -0.1, -0.08, -0.08, 
## -0.11, -0.13, -0.1, 0.1, 0.08, 0.08, 0.08, 0.1, 0.14, 0.14, 0.08, 
## -0.06, -0.08, -0.02, 0.03, 0.11, 0.03, 0.11, 0.14, 0.21, 0.06, 
## -0.03, -0.08, -0.13, -0.05, 0.03, 0.06, 0.11, 0.1, 0.08, 0.08, 
## -0.08, -0.08, -0.05, -0.06, -0.06, -0.08, -0.08, -0.08, -0.08, 
## -0.08, 0.05, 0.08, 0.05, -0.05, -0.05, 0.05, 0.06, 0.06, 0.03, 
## 0.02, 0.03, 0.05, 0.16, -0.02, -0.03, -0.03, 0.03, 0.1, 0.16, 
## 0.16, 0.13, 0.05, -0.02, -0.05, 0.08, 0.08, 0.1, 0.1, 0.08, 0.06, 
## 0.05, 0.02, -0.05, -0.06, -0.05, -0.03, 0.06, 0.08, 0.02, 0.02, 
## 0.08, 0.1, 0.11, 0.11, -0.05, -0.05, -0.06, -0.13, -0.03, -0.02, 
## 0, 0.03, 0.08, 0.08, 0.11, 0.13, 0.13, 0.11, 0.08, -0.05, -0.08, 
## -0.05, 0, 0, 0.05, 0.05, 0.05, 0, 0, -0.02, 0.05, 0.03, 0, -0.1, 
## -0.1, -0.1, -0.13, -0.14, -0.13, -0.14, -0.03, -0.02, 0, 0, 0.02, 
## 0, 0, 0.02, 0, 0, 0.02, 0.05, 0.1, 0.1, 0.1, 0.08, 0.06, 0.03, 
## 0.02, 0.02, -0.02, 0.1, 0.11, 0.13, 0.11, 0.05, 0.02, -0.06, 
## -0.08, -0.1, -0.11, -0.14, -0.14, -0.11, -0.11, -0.08, 0, 0.02, 
## 0.02, 0.1, 0.11, -0.03, -0.02, 0.02, 0.08, 0.03, -0.06, -0.05, 
## 0, 0.02, 0.02, 0.03, 0.05, 0.08, 0.1, 0.08, 0.03, 0.03, 0.02, 
## -0.03, 0, 0.03, 0.03, 0.06, 0.1, 0.1, 0.11, 0.14, 0.06, -0.11, 
## -0.06, -0.02, 0.03, 0.03, 0.03, 0.05, 0.05, 0.05, 0.06, 0.08, 
## 0.05, 0, 0, 0.05, -0.03, -0.05, -0.05, -0.03, -0.02, 0, 0.06, 
## -0.02, 0, 0, 0.08, 0.05, 0.05, 0.05, 0.05, 0.03, 0.02, 0, 0.05, 
## 0.06, 0.06, 0.03, 0, -0.02, -0.03, -0.05, -0.06, -0.06, -0.06, 
## 0.05, 0.06, 0.06, 0.03, 0.02, 0.06, 0.03, 0.02, 0.02, 0.03, 0.03, 
## 0.05, -0.03, -0.03, -0.02, -0.02, 0.02, 0, 0, -0.02, -0.03, -0.03, 
## -0.02, 0.1, 0.05, 0.03, -0.03, -0.03, -0.03, 0, 0.03, 0.03, 0.14, 
## 0.14, 0.1, 0.06, -0.03, -0.08, 0.08, 0.08, 0.06, -0.02, 0.03, 
## 0.05, 0.05, 0.03, 0.03, 0.03, 0.05, 0.08, 0.16, 0.21, 0.08, 0.03, 
## 0, -0.03, -0.08, -0.05, -0.03, 0, 0.05, 0.08, -0.02, 0.11, 0.13, 
## 0.13, 0.11, 0.08, 0.08, -0.03, -0.08, -0.03, -0.03, -0.03, -0.02, 
## 0.03, 0.02, 0.02, 0.05, 0.05, 0.06, 0.06, -0.05, -0.05, -0.05, 
## 0.05, 0.08, 0.05, 0.03, 0, 0.05, 0.1, 0, -0.16, -0.02, -0.02, 
## 0.08, 0.06, 0.08, 0.1, 0.13, 0.13, 0.11, 0.08, 0.03, 0.02, 0, 
## 0.02, 0.11, -0.02, -0.03, -0.03, -0.03, 0.03, 0.03, 0.02, -0.02, 
## 0.06, 0.05, 0.03, -0.02, -0.02, 0.02, 0, 0, 0, 0.08, 0.1, 0.08, 
## 0.03, 0.02, -0.02, -0.02, -0.02, 0, -0.02, 0.05, 0.08, 0.08, 
## -0.02, -0.02, -0.05, -0.14, -0.14, -0.14, -0.05, -0.05, -0.08, 
## -0.1, -0.05, 0, 0.02, 0.05, 0, 0.02, -0.13, -0.05, -0.06, -0.14, 
## -0.18, -0.19, -0.18, -0.16, -0.14, -0.08, -0.05, -0.02, 0.03, 
## 0.1, 0.11, 0.11, 0.13, 0.18, 0.19, 0.21, 0.21, -0.11, -0.11, 
## -0.06, 0, 0.18, 0.22, 0.19, 0.18, 0.16, -0.08, -0.11, -0.16, 
## -0.13, -0.13, -0.02, 0.05, 0.11, 0.19, 0.21, 0.18, -0.06, -0.06, 
## -0.06, 0.08, 0.1, 0.1, 0.14, 0.11, 0.06, -0.06, -0.03, 0, -0.02, 
## -0.05, -0.19, -0.1, 0.08, 0.22, 0.21, 0.21, 0.19, 0.13, 0.06, 
## 0.03, 0.03, 0.03, 0.05, 0.06, -0.13, -0.13, -0.14, 0.08, 0.08, 
## 0.1, 0.06, -0.03, -0.06, -0.18, -0.18, -0.16, -0.11, -0.1, 0.13, 
## 0.18, 0.21, 0.24, 0.26, 0.11, 0.03, -0.02, -0.13, -0.11, -0.11, 
## -0.05, 0.03, 0.03, 0.06, 0.19, 0.18, -0.22, -0.18, -0.14, -0.14, 
## -0.14, -0.13, -0.08, 0.16, 0.16, 0.16, 0.18, 0.16, -0.02, -0.24, 
## -0.24, -0.24, -0.24, 0.11, 0.13, 0.27, 0.29, 0.29, 0.05, -0.06, 
## 0.05, 0.03, 0.02, 0.03, 0.1, 0.19, 0.29, 0.24, 0.1, -0.16, -0.16, 
## -0.21, -0.16, 0.11, 0.18, 0.16, -0.13, -0.13, -0.1, -0.06, -0.03, 
## -0.05, -0.06, -0.08, -0.02, 0.03, 0.08, 0.14, 0.13, 0.06, 0.02, 
## -0.03, -0.19, -0.18, -0.16, 0, 0.03, 0.16, 0.18, 0.18, 0.18, 
## 0.19, 0.24, 0.24, 0.21, 0.29, 0.29, 0.03, -0.06, -0.24, -0.05, 
## 0.06, 0.03, 0.08, 0.08, 0, -0.05, -0.27, -0.27, -0.24, -0.14, 
## -0.13, 0.06, 0.1, 0.18, 0.24, 0.26, 0.26, 0.27, 0.05, -0.13, 
## -0.08, -0.03, 0, 0.03, 0.06, 0.08, 0.05, 0.03, 0.02, 0, 0, 0.02, 
## 0.06, 0.05, -0.02, -0.05, 0.13, 0.13, 0.19, 0.19, 0.18, 0.13, 
## 0.1, 0.02, 0.03, 0.03, 0.1, 0.11, 0.1, 0.13, 0.11, 0.1, 0.1, 
## 0.06, 0.06, 0.1, 0.13, 0.06, 0.06, 0.06, 0.14, 0.11, 0.1, 0.1, 
## 0.13, 0.13, 0.1, 0.08, 0.06, 0.05, 0.06, 0.08, 0.08, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.13, 0.14, 0.14, 0.13, 0.13, 0.11, 0.13, 0.14, 
## 0.16, 0.05, 0.06, 0.1, 0.14, 0.14, 0.13, 0.14, 0.08, 0.06, 0.1, 
## 0.11, 0.14, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.13, 0.18, 0.18, 0.16, 0.08, 0.06, 0.06, 0.06, 0.06, 0.08, 
## 0.1, 0.1, 0.11, 0.11, 0.08, 0.14, 0.11, 0.11, 0.13, 0.1, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.16, 0.14, 0.13, 0.1, 
## 0.06, 0.06, 0.08, 0.1, 0.08, 0.08, 0.1, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.14, 0.11, 0.1, 0.08, 0.08, 0.1, 0.11, 0.1, 0.08, 0.13, 
## 0.13, 0.1, 0.1, 0.08, 0.08, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.13, 0.14, 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.1, 0.08, 0.14, 0.14, 0.11, 0.1, 0.1, 0.11, 0.1, 0.08, 0.08, 
## 0.18, 0.16, 0.05, 0.08, 0.1, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.14, 0.11, 0.1, 0.11, 0.14, 0.16, 0.18, 0.19, 0.16, 
## 0.14, 0.13, 0.11, 0.11, 0.1, 0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 
## 0.11, 0.11, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.19, 
## 0.08, 0.06, 0.05, 0.03, 0.02, 0.05, 0.03, 0.05, 0.08, 0.1, 0.11, 
## 0.13, 0.13, 0.14, 0.13, 0.13, 0.14, 0.18, 0.21, 0.21, 0.21, 0.18, 
## 0.1, 0.06, 0.14, 0.29, 0.31, 0.39, 0.5, 0.53, 0.63, 0.64, 0.63, 
## 0.59, 0.56, 0.32, 0.31, 0.34, 0.34, 0.34, 0.35, 0.32, 0.27, 0.24, 
## 0.24, 0.21, 0.19, 0.16, 0.18, 0.16, 0.03, 0.03, 0.1, 0.06, -0.08, 
## -0.13, -0.13, -0.13, -0.11, -0.08, -0.05, -0.14, -0.18, -0.21, 
## -0.22, 0, 0.02, 0.05, 0.08, 0.18, 0.18, 0.18, 0.29, 0.34, 0.34, 
## 0.34, 0.34, 0.34, 0.27, 0.22, 0.16, 0.05, 0.05, 0.06, 0.16, 0.14, 
## 0.14, 0.14, 0.14, 0.06, 0.05, 0.05, 0.05, 0.06, 0.05, 0.11, 0.16, 
## 0.08, 0.05, 0.06, 0.11, 0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 
## 0.1, 0.1, 0.1, 0.08, 0.06, 0.08, 0.08, 0.08, 0.11, 0.13, 0.13, 
## 0.14, 0.14, 0.13, 0.11, 0.14, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.1, 0.1, 0.13, 
## 0.14, 0.1, 0.1, 0.08, 0.1, 0.11, 0.13, 0.13, 0.11, 0.1, 0.06, 
## 0.02, 0.13, 0.1, 0.1, 0.06, 0.08, 0.1, 0.11, 0.14, 0.11, 0.02, 
## 0.02, 0.14, 0.22, 0.21, 0.1, 0.02, 0, -0.06, -0.06, -0.05, -0.03, 
## -0.02, 0.02, 0.06, 0.1, 0.16, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.11, 0.1, 0.06, -0.03, -0.06, -0.1, -0.08, -0.02, 
## 0.08, 0.14, 0.16, 0.14, 0.16, 0.21, 0.16, 0.13, 0.02, 0.03, 0.13, 
## 0.13, 0.13, 0.16, 0.16, 0.11, 0.13, 0.18, 0.18, 0.19, 0.21, 0.21, 
## 0.21, 0.18, 0.13, 0.03, 0, 0, -0.02, 0, 0.03, 0.03, 0.03, 0.03, 
## 0.05, 0.05, 0.05, 0.06, 0.06, 0.11, 0.14, 0.16, 0.16, 0.13, 0.13, 
## 0.13, 0.13, 0.16, 0.18, 0.18, 0.14, 0.14, 0.21, 0.21, 0.21, 0.05, 
## 0.08, 0.11, 0.13, 0.16, 0.16, 0.14, 0.14, 0.19, 0.19, 0.16, 0.16, 
## 0.11, 0.1, -0.02, 0, -0.02, 0.1, 0.13, 0.06, 0.05, 0.05, 0.05, 
## 0.1, 0.13, 0.16, 0.14, 0.14, 0.14, 0.14, 0.1, 0.19, 0.19, 0.19, 
## 0.19, 0.18, 0.16, 0.16, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.03, -0.03, -0.03, -0.06, -0.1, -0.1, -0.06, -0.05, -0.02, 0.05, 
## 0.08, 0.1, 0.13, 0.18, 0.16, 0.16, 0.14, 0.13, 0.14, 0.14, 0.05, 
## 0.05, 0.03, 0.03, 0.05, 0.19, 0.14, 0.13, 0.13, 0.13, 0.08, 0.06, 
## 0.06, 0.05, 0.03, 0.03, 0.05, 0.05, 0.06, 0.11, 0.1, 0.08, 0.1, 
## 0.1, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.13, 0.18, 
## 0.21, 0.02, 0.03, 0.03, 0.06, 0.08, 0.1, 0.11, 0.08, 0.08, 0.19, 
## 0.19, 0.21, 0.21, 0.21, 0.18, 0.16, 0.11, 0.08, 0.03, 0.03, 0.03, 
## 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.13, 0.11, 0.06, 0.06, 0.13, 
## 0.14, 0.16, 0.19, 0.16, 0.13, 0.1, 0.1, 0.14, 0.14, 0.16, 0.16, 
## 0.18, 0.21, 0.21, 0.1, 0.03, 0.02, -0.03, -0.02, 0.05, 0.06, 
## 0.06, 0.03, 0.03, 0.03, 0.1, 0.18, 0.22, 0.21, 0.22, 0.19, 0.06, 
## -0.03, -0.05, -0.02, 0.05, 0.08, 0.1, 0.1, 0.11, 0.24, 0.27, 
## 0.29, 0.31, 0.14, 0.11, 0.03, 0.02, 0.02, 0.02, 0.08, 0.05, 0.06, 
## 0.05, 0.02, 0.02, 0.02, 0.1, 0.21, 0.22, 0.26, 0.31, 0.29, 0.26, 
## 0.16, 0.05, 0.02, -0.02, 0, 0.02, 0.03, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.08, 0.06, 0.06, 0.08, 0.1, 0.13, 0.14, 
## 0.16, 0.08, 0.06, 0.02, 0.02, 0.14, 0.14, 0.24, 0.11, 0.13, 0.13, 
## 0.16, 0.19, 0.21, 0.21, 0.19, 0.13, 0.05, 0.02, -0.03, 0.08, 
## 0.06, 0.06, 0.06, 0.22, 0.24, 0.24, 0.18, 0.16, 0.16, 0.11, 0.11, 
## 0.11, 0.11, 0.08, 0.11, 0.16, 0.18, 0.19, 0.16, 0.13, 0.11, 0.08, 
## 0.1, 0.1, 0.06, 0.06, 0.1, 0.21, 0.26, 0.16, 0.14, 0.05, 0.02, 
## -0.05, -0.05, -0.06, -0.03, -0.02, 0.06, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.1, 0.08, 0.08, 0.1, 0.1, 0.11, 0.13, 0.13, 0.14, 
## 0.16, 0.16, 0.13, 0.14, 0.14, 0.13, 0.1, 0.05, 0.06, 0.08, 0.13, 
## 0.11, 0.14, 0.14, 0.18, 0.14, 0.16, 0.18, 0.18, 0.11, 0.11, 0.14, 
## 0.16, 0.16, 0.18, 0.19, 0.03, 0.03, 0.02, 0.16, 0.16, 0.16, 0.14, 
## 0.14, 0.1, 0.08, 0.08, 0.1, 0.06, 0.08, 0.11, 0.13, 0.14, 0.11, 
## 0.13, 0.13, 0.16, 0.18, 0.16, 0.19, 0.18, 0.18, 0.16, 0.16, 0.14, 
## 0.1, 0.1, 0.1, 0.1, 0.11, 0.1, 0.08, 0.05, 0.06, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.16, 0.18, 0.16, 0.14, 0.18, 0.1, 0.1, 0.1, 0.14, 
## 0.11, 0.08, 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.08, 
## 0.1, 0.16, 0.18, 0.19, 0.06, 0.06, 0.08, 0.1, 0.11, 0.18, 0.22, 
## 0.21, 0.19, 0.14, 0.05, 0.02, -0.03, -0.02, 0, 0.02, 0.02, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.13, 0.11, 0.13, 0.13, 0.13, 
## 0.14, 0.18, 0.16, 0.18, 0.19, 0.19, 0.18, 0.16, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.1, 0.06, 0.05, 0.03, 0.02, 0, 0.02, 0.08, 0.24, 
## 0.26, 0.21, 0.19, 0.18, 0.16, 0.16, 0.16, 0.1, 0.1, 0.13, 0.08, 
## 0.06, 0.02, 0.11, 0.08, 0.08, 0.08, 0.11, 0.1, 0.11, 0.03, 0.03, 
## 0, 0, -0.02, 0.02, 0.03, 0.05, 0.22, 0.21, 0.13, -0.18, -0.16, 
## -0.13, -0.06, 0.03, 0.06, 0.08, 0.18, 0.21, 0.13, 0.11, 0.13, 
## -0.06, -0.1, -0.14, -0.02, 0, 0.06, 0.11, 0.27, 0.35, 0.29, 0.29, 
## 0.02, -0.03, -0.18, -0.13, -0.16, -0.26, -0.27, -0.02, 0.1, 0.11, 
## 0.18, 0.18, 0.14, -0.08, -0.19, -0.22, -0.24, -0.26, -0.19, -0.18, 
## -0.14, -0.11, 0.18, 0.14, -0.02, -0.05, -0.1, -0.16, -0.19, -0.19, 
## -0.16, -0.14, -0.14, 0.08, 0.02, 0.05, 0.1, 0.11, 0.1, 0.02, 
## -0.18, -0.19, -0.13, 0.1, 0.1, 0.08, 0.03, -0.1, -0.06, 0.05, 
## 0.06, 0.06, 0.06, 0.05, 0.06, 0.05, 0.02, 0, 0, -0.05, -0.05, 
## -0.05, -0.06, -0.06, 0.06, 0.06, 0.06, 0.06, 0.08, 0.08, -0.02, 
## -0.1, -0.14, -0.08, -0.05, -0.02, 0.02, -0.05, -0.06, -0.06, 
## -0.02, 0.05, 0.06, 0.06, 0.08, 0.11, 0.11, 0.05, 0.08, 0.11, 
## 0.1, 0, 0.02, 0.06, 0.06, 0.02, -0.02, -0.05, -0.05, -0.02, 0.02, 
## 0.05, 0.08, 0.08, 0.05, 0.05, 0.06, 0.06, 0.02, -0.05, -0.06, 
## 0, -0.02, -0.02, -0.02, -0.02, -0.06, 0.1, 0.05, 0.05, 0.03, 
## 0.03, 0.06, 0.06, 0.08, 0.08, 0.03, 0.03, 0.02, -0.02, -0.03, 
## 0, -0.51, -0.5, -0.45, -0.47, -0.47, -0.43, -0.51, -0.56, -0.58, 
## -0.59, -0.63, -0.67, -0.56, -0.61, -0.61, -0.71, -0.71, -0.69, 
## -0.66, -0.29, -0.27, -0.24, -0.24, -0.37, -0.42, -0.45, -0.48, 
## -0.48, -0.39, -0.39, -0.4, 0.05, 0.05, 0.02, 0.02, 0.02, 0.02, 
## 0.03, 0.03, 0.02, 0.03, 0.03, 0.03, 0.03, 0.11, 0.13, 0.11, 0.11, 
## 0.08, 0.05, -0.02, -0.05, -0.06, 0, 0.05, 0.03, 0.03, 0.06, 0.06, 
## 0.06, 0.02, 0.02, -0.05, 0, 0.05, 0.06, 0.05, 0.02, 0.03, 0.05, 
## 0, -0.08, -0.06, 0.02, 0.03, 0.03, 0.03, 0.02, 0, -0.02, 0.02, 
## 0.05, 0.02, 0.02, -0.03, -0.03, 0.02, -0.05, -0.05, -0.06, -0.06, 
## -0.06, -0.03, 0.08, 0.05, -0.03, -0.05, 0.03, 0.1, 0.1, -0.02, 
## 0, 0.02, 0.05, 0.03, 0.03, 0.03, 0.06, -0.13, -0.1, -0.06, -0.05, 
## 0.11, 0.03, 0.05, 0.08, 0.06, 0.05, 0.05, 0.02, -0.05, -0.08, 
## -0.1, -0.1, -0.05, 0, 0.03, 0.05, 0.06, 0.05, 0.06, 0.05, 0.05, 
## -0.05, -0.05, -0.03, 0.02, 0.05, 0.06, 0.11, 0.1, 0.06, 0.03, 
## 0.03, 0.02, -0.02, -0.03, -0.05, -0.05, -0.05, -0.06, -0.05, 
## 0, 0, 0, -0.02, -0.02, 0.03, 0.1, 0.03, 0.03, -0.02, 0, -0.35, 
## -0.5, -0.5, -0.51, -0.53, -0.55, -0.55, -0.5, -0.5, -0.5, -0.5, 
## -0.5, -0.48, -0.48, -0.48, -0.45, -0.45, -0.42, -0.42, -0.4, 
## -0.4, -0.47, -0.45, -0.43, -0.4, -0.42, -0.43, -0.43, -0.39, 
## -0.35, -0.34, -0.35, -0.4, -0.42, -0.4, -0.4, -0.39, -0.4, -0.39, 
## -0.42, -0.55, -0.58, -0.56, -0.43, -0.43, -0.42, -0.4, -0.39, 
## -0.39, -0.4, -0.42, -0.43, -0.48, -0.48, -0.47, -0.47, -0.42, 
## -0.43, -0.45, -0.43, -0.4, -0.4, -0.4, -0.45, -0.47, -0.43, -0.37, 
## -0.39, -0.4, -0.31, -0.31, -0.42, -0.45, -0.51, -0.53, -0.5, 
## -0.51, -0.48, -0.47, -0.45, -0.45, -0.43, -0.4, -0.4, -0.43, 
## -0.42, -0.43, -0.45, -0.45, -0.42, -0.4, -0.43, -0.43, -0.42, 
## -0.43, -0.47, -0.47, -0.47, -0.48, -0.5, -0.53, -0.53, -0.53, 
## -0.53, -0.48, -0.48, -0.47, -0.42, -0.43, -0.42, -0.47, -0.43, 
## -0.37, -0.37, -0.43, -0.47, -0.45, -0.47, -0.48, -0.43, -0.4, 
## -0.39, -0.37, -0.37, -0.42, -0.39, -0.37, -0.37, -0.37, -0.39, 
## -0.5, -0.48, -0.48, -0.47, -0.42, -0.48, -0.55, -0.5, -0.48, 
## -0.47, -0.43, -0.4, -0.43, -0.43, -0.4, -0.43, -0.45, -0.47, 
## -0.43, -0.42, -0.39, -0.37, -0.37, -0.37, -0.34, -0.34, -0.35, 
## -0.35, -0.39, -0.43, -0.47, -0.47, -0.48, -0.55, -0.55, -0.5, 
## -0.47, -0.45, -0.47, -0.47, -0.43, -0.43, -0.42, -0.4, -0.45, 
## -0.48, -0.48, -0.45, -0.42, -0.34, -0.34, -0.35, -0.42, -0.4, 
## -0.39, -0.4, -0.42, -0.4, -0.39, -0.31, -0.42, -0.48, -0.48, 
## -0.53, -0.58, -0.55, -0.47, -0.45, -0.42, -0.4, -0.43, -0.43, 
## -0.45, -0.45, -0.43, -0.39, -0.39, -0.37, -0.42, -0.43, -0.43, 
## -0.42, -0.42, -0.42, -0.42, -0.4, -0.4, -0.48, -0.48, -0.5, -0.58, 
## -0.58, -0.56, -0.55, -0.5, -0.47, -0.4, -0.42, -0.43, -0.42, 
## -0.45, -0.45, -0.42, -0.42, -0.43, -0.43, -0.45, 0.14, 0.06, 
## -0.02, 0, -0.03, -0.06, -0.06, 0, 0, -0.02, -0.03, -0.03, -0.02, 
## 0.02, 0.02, 0.03, 0.05, 0.06, 0.1, 0.1, 0.1, 0.03, 0, 0.02, 0.08, 
## 0.08, -0.1, -0.11, -0.11, -0.1, -0.1, -0.02, 0, 0.05, 0.05, -0.03, 
## 0, 0.03, 0.05, 0.05, 0.03, 0, 0.02, 0.03, 0.06, 0.05, 0, 0.05, 
## 0.1, 0.06, 0.05, 0.05, -0.02, -0.03, -0.05, -0.03, -0.06, -0.05, 
## -0.03, -0.02, 0.08, 0.03, 0.03, 0.03, 0.02, 0, -0.05, -0.03, 
## -0.03, -0.03, -0.03, 0.02, 0.02, 0.05, 0.06, 0.06, 0.06, 0.05, 
## 0.03, 0.02, 0.03, 0.1, 0.08, -0.02, -0.05, -0.1, -0.1, -0.16, 
## -0.13, -0.1, -0.05, 0.02, 0.02, 0.03, 0.03, 0, -0.02, -0.13, 
## -0.14, 0.05, -0.03, -0.11, -0.13, -0.02, 0.03, 0.02, 0.03, 0.06, 
## 0.08, 0.1, 0.08, 0.06, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0.03, 0, 0, -0.06, 0.02, 0.06, 0.05, 0.03, 0.02, 0.05, 0.08, 
## 0.05, 0.13, 0.1, 0.05, 0.03, -0.06, -0.08, -0.11, -0.06, 0.05, 
## 0, 0, -0.08, -0.08, -0.08, -0.06, -0.03, 0.03, 0.03, 0.03, 0.05, 
## 0.05, 0.06, 0.1, 0.11, 0, 0.02, 0.05, 0.08, 0.1, 0.08, 0.05, 
## 0.02, -0.03, -0.11, -0.11, -0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
## 0.05, 0.03, 0.02, 0, -0.06, -0.08, -0.08, -0.1, -0.08, -0.08, 
## -0.06, -0.06, -0.02, -0.02, 0, 0.02, 0.19, 0.11, 0.08, -0.06, 
## -0.05, -0.05, 0, 0.05, 0.08, 0.06, 0.05, 0.02, 0, 0.03, 0.03, 
## 0.02, 0, 0.05, 0.02, 0.02, 0.02, 0.05, 0.05, 0.06, 0.06, -0.02, 
## -0.03, -0.05, -0.05, 0.05, 0.05, 0.06, 0.06, 0.08, 0.1, -0.02, 
## -0.03, -0.03, -0.03, -0.02, 0, 0.02, 0.06, 0.08, 0.06, 0.05, 
## 0.02, 0.02, 0.08, 0.08, 0.06, 0.05, 0.03, 0.03, 0.05, 0.06, 0.08, 
## 0.06, 0.05, 0.06, 0.05, 0.03, 0.02, -0.02, -0.02, 0, 0, 0.02, 
## -0.02, 0.03, 0.05, 0.08, 0.08, 0.05, 0, -0.05, -0.06, -0.06, 
## -0.02, -0.02, -0.02, -0.02, 0, -0.02, 0, 0, -0.03, -0.02, 0.02, 
## 0.02, 0.06, 0.1, 0.08, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.03, 
## 0.02, 0.05, 0.05, 0.05, 0.02, 0, 0.03, -0.11, -0.13, -0.13, -0.13, 
## -0.08, -0.02, 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 0.08, 0.06, 0.1, 
## 0.06, 0.05, 0.02, 0, 0, -0.02, -0.02, 0.05, 0.03, 0.05, 0.03, 
## 0.03, -0.02, -0.03, -0.02, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
## 0.02, 0.02, 0.03, 0, -0.06, -0.06, -0.08, -0.08, 0, 0.03, 0.02, 
## 0, -0.02, -0.02, 0, -0.02, -0.02, 0, 0.02, 0.03, 0.05, 0.06, 
## 0.08, 0.08, 0.02, 0, -0.02, 0.03, 0.08, 0.08, 0.08, 0.03, 0.02, 
## -0.02, -0.05, -0.05, -0.05, -0.05, -0.06, 0.14, 0.14, 0.1, 0.1, 
## 0.1, 0.11, 0.06, -0.06, -0.05, -0.06, -0.05, -0.03, 0.06, 0.05, 
## 0.02, -0.02, -0.08, -0.08, -0.13, -0.05, 0.02, 0.05, 0.08, 0.11, 
## 0.11, 0.02, 0.05, 0.06, 0.08, 0.05, 0.05, 0.05, 0.06, 0.06, 0.06, 
## 0.08, 0.06, 0.03, 0.02, 0.02, 0.02, 0.05, 0.05, 0.05, -0.02, 
## -0.02, -0.05, -0.05, -0.03, 0, 0, -0.02, -0.05, -0.06, -0.06, 
## 0.06, 0.1, 0.1, 0.1, 0.08, 0.03, 0, 0, 0, 0, 0, -0.05, -0.06, 
## -0.06, -0.05, 0, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, -0.03, 
## 0.05, 0.06, -0.03, -0.05, -0.05, -0.05, -0.02, -0.03, -0.02, 
## -0.05, -0.06, -0.05, -0.06, 0, 0.06, 0.1, 0.1, 0.02, -0.03, -0.08, 
## -0.03, 0.02, 0.11, 0.13, 0.13, 0.1, 0.06, 0, 0, -0.05, -0.13, 
## -0.11, -0.08, -0.05, 0.03, 0.08, 0.08, 0.06, 0.05, 0.03, 0, 0.02, 
## 0.02, 0.03, 0.02, 0.02, 0.03, 0.05, 0.03, 0.02, 0.02, 0.03, 0.06, 
## 0.06, 0.06, 0.02, -0.02, -0.03, 0.02, -0.06, -0.05, -0.05, -0.03, 
## -0.02, -0.06, -0.13, -0.13, -0.05, 0.02, 0.02, 0, 0, 0.03, 0.03, 
## 0.05, 0.05, 0.05, 0.03, 0.03, 0.11, 0.1, 0.1, -0.03, -0.06, -0.06, 
## -0.1, -0.08, -0.06, -0.05, -0.03, 0.03, 0.05, 0.02, 0, 0.03, 
## 0.03, 0.05, 0.03, 0.02, -0.02, -0.02, -0.02, 0.02, 0, 0.02, 0.03, 
## 0.06, 0.02, 0, 0.02, 0.05, -0.06, -0.13, 0.03, 0.03, 0.03, 0.11, 
## 0.1, 0.08, 0.08, 0.03, 0.02, -0.02, 0.02, 0.03, 0.05, 0.03, 0.03, 
## 0.05, 0.11, 0.1, 0.08, 0.05, 0.02, 0, 0.02, 0, 0.02, 0.03, 0.02, 
## -0.02, -0.03, -0.05, 0.03, 0.05, 0.1, 0.08, 0.02, 0.03, -0.05, 
## -0.11, -0.11, -0.1, 0.02, 0.06, 0.05, 0.08, 0.06, 0.06, -0.03, 
## -0.06, -0.1, -0.03, 0, 0.02, -0.02, 0.03, 0.02, 0.1, 0.02, -0.14, 
## -0.13, -0.08, -0.06, -0.02, 0.02, 0.03, 0.08, 0.1, 0.1, 0.11, 
## 0.1, 0.08, 0.03, -0.02, -0.1, -0.1, -0.02, -0.02, -0.03, 0, 0, 
## 0.02, 0.02, 0.06, 0.11, 0.13, 0.05, -0.05, -0.06, -0.08, -0.11, 
## 0, 0.08, 0.1, 0.08, 0.03, 0.03, 0.05, 0.05, 0.05, 0.05, 0.02, 
## -0.03, -0.05, -0.02, -0.02, 0.06, 0.11, 0.1, 0.1, 0.05, 0.02, 
## -0.06, -0.08, -0.08, -0.06, -0.08, -0.02, 0.06, 0.08, 0, -0.02, 
## 0, -0.13, -0.13, -0.13, 0.1, 0.13, 0.13, 0.14, 0.14, 0.16, 0.11, 
## -0.08, -0.02, 0, 0.03, 0.06, 0.05, 0.05, 0, -0.02, -0.05, -0.06, 
## -0.08, -0.1, -0.03, -0.05, 0, 0.05, 0.05, 0.08, 0.13, 0.16, 0.16, 
## 0.14, 0.1, -0.02, -0.05, -0.1, -0.06, 0.06, 0.06, 0.05, 0.05, 
## 0.03, 0.1, 0.08, 0.05, 0.02, -0.05, -0.03, -0.03, 0, 0.11, 0.11, 
## 0.16, 0.14, 0.08, 0.05, -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, 
## -0.03, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.03, 0.05, -0.05, 
## -0.05, -0.11, -0.11, 0.13, 0.13, 0.06, 0.02, -0.1, -0.13, -0.11, 
## -0.11, -0.08, -0.05, -0.03, -0.02, 0, 0.1, 0.06, 0.05, 0.06, 
## 0.11, 0.13, 0.11, -0.1, -0.19, 0.11, 0.14, -0.18, -0.21, -0.21, 
## -0.26, -0.27, -0.14, -0.06, 0.14, 0.11, 0.22, 0.22, -0.05, -0.06, 
## -0.11, -0.11, -0.1, -0.05, 0.11, 0.14, 0.13, 0, -0.05, -0.1, 
## -0.11, -0.06, 0, 0.05, 0.05, 0.05, 0.02, 0.03, 0.03, 0.05, 0.03, 
## 0.05, 0.06, 0.05, 0.05, 0.05, 0.03, 0.03, 0.03, 0.1, 0.1, 0.1, 
## 0.11, 0.11, 0.1, 0.11, 0.13, 0.1, -0.08, -0.05, -0.06, -0.19, 
## 0.02, 0.03, 0.03, 0.03, 0.05, -0.11, -0.06, 0, 0, 0.02, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.03, -0.03, 0.02, 0.06, 
## 0.16, 0.14, 0.14, 0.05, 0.03, 0.03, 0.05, 0.05, 0.11, 0.14, 0.14, 
## 0.14, 0.13, 0.13, 0.08, 0.06, 0.08, 0.11, 0.13, 0.13, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.08, 0.08, 0.08, 
## 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.19, 0.19, 0.19, 0.18, 0.18, 
## 0.13, 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 0.14, 0.14, 0.13, 0.13, 
## 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.1, 0.11, 0.1, 0.1, 0.08, 
## 0.1, 0.11, 0.11, 0.11, 0.08, 0.1, 0.11, 0.13, 0.11, 0.1, 0.16, 
## 0.18, 0.18, 0.18, 0.16, 0.05, 0.03, 0.08, 0.1, 0.1, 0.11, 0.13, 
## 0.11, 0.1, 0.11, 0.13, 0.14, 0.13, 0.14, 0.16, 0.14, 0.1, 0.08, 
## 0.06, 0.08, 0.06, 0.06, 0.08, 0.11, 0.13, 0.13, 0.14, 0.16, 0.11, 
## 0.1, 0.1, 0.08, 0.05, 0.05, 0.06, 0.06, 0.1, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.13, 0.13, 0.14, 0.16, 0.11, 0.16, 0.14, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.08, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.13, 0.13, 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.05, 0.03, 0.03, 
## 0.05, 0.13, 0.14, 0.13, 0.13, 0.1, 0.1, 0.1, 0.11, 0.11, 0.14, 
## 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 0.08, 0.1, 0.08, 0.06, 
## 0.1, 0.13, 0.14, 0.16, 0.16, 0.14, 0.13, 0.13, 0.13, 0.1, 0.1, 
## 0.1, 0.13, 0.13, 0.14, 0.13, 0.11, 0.1, 0.08, 0.08, 0.06, 0.06, 
## 0.06, 0.11, 0.13, 0.14, 0.16, 0.16, 0.14, 0.13, 0.08, 0.06, 0.06, 
## 0.08, 0.14, 0.13, 0.06, 0.08, 0.1, 0.08, 0.08, 0.06, 0.08, 0.1, 
## 0.18, 0.13, 0.11, 0.08, 0.1, 0.13, 0.14, 0.14, 0.11, 0.16, 0.14, 
## 0.14, 0.11, 0.1, 0.1, 0.1, 0.14, 0.16, 0.1, 0.08, 0.08, 0.1, 
## 0.13, 0.14, 0.14, 0.11, 0.11, 0.13, 0.1, 0.08, 0.08, 0.1, 0.1, 
## 0.18, 0.18, 0.13, 0.13, 0.11, 0.05, 0.05, 0.05, 0.05, 0.06, 0.06, 
## 0.06, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 0.1, 
## 0.11, 0.11, 0.11, 0.13, 0.14, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.26, 0.26, 0.26, 0.26, 0.22, 0.21, 0.19, 0.13, 
## 0.06, 0.06, 0.06, 0.06, 0.05, 0.05, 0.05, 0.06, 0.08, 0.11, 0.13, 
## 0.14, 0.16, 0.18, 0.19, 0.18, 0.06, -0.05, -0.02, 0.22, 0.22, 
## 0.21, 0.18, 0.18, 0.19, 0.16, 0.11, 0.05, 0.05, 0.05, 0.05, 0.06, 
## 0.05, 0.11, 0.06, 0.06, 0.13, 0.14, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.08, 0.1, 0.1, 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.1, 0.1, 0.1, 0.14, 0.14, 0.14, 0.13, 0.11, 
## 0.11, 0.13, 0.11, 0.1, 0.1, 0.11, 0.13, 0.13, 0.13, 0.08, 0.11, 
## 0.13, 0.13, 0.11, 0.1, 0.13, 0.11, 0.14, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.1, 0.08, 0.08, 0.08, 0.11, 0.14, 0.16, 0.16, 0.16, 
## 0.11, 0.1, 0.1, 0.08, 0.08, 0.13, 0.14, 0.14, 0.13, 0.11, 0.11, 
## 0.13, 0.1, 0.08, 0.11, 0.16, 0.16, 0.13, 0.13, 0.13, 0.11, 0.1, 
## 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.06, 0.06, 
## 0.1, 0.16, 0.16, 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 0.06, 0.08, 
## 0.1, 0.16, 0.14, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.08, 0.1, 0.13, 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.08, 0.08, 0.08, 
## 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.13, 
## 0.13, 0.13, 0.16, 0.16, 0.14, 0.08, 0.06, 0.06, 0.06, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.14, 0.16, 0.16, 0.14, 0.14, 0.13, 0.08, 
## 0.08, 0.06, 0.08, 0.1, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.11, 0.11, 0.13, 0.06, 0.06, 0.08, 0.11, 0.13, 0.14, 0.16, 
## 0.18, 0.18, 0.14, 0.13, 0.06, 0.14, 0.14, 0.13, 0.11, 0.13, 0.14, 
## 0.13, 0.13, 0.11, 0.18, 0.14, 0.13, 0.13, 0.13, 0.13, 0.14, 0.13, 
## 0.13, 0.14, 0.13, 0.11, 0.11, 0.08, 0.06, 0.11, 0.08, 0.1, 0.11, 
## 0.11, 0.1, 0.08, 0.06, 0.06, 0.06, 0.08, 0.13, 0.13, 0.14, 0.13, 
## 0.11, 0.11, 0.13, 0.18, 0.14, 0.13, 0.11, 0.1, 0.11, 0.14, 0.14, 
## 0.1, 0.03, 0.03, -0.02, 0.03, 0.06, 0.1, 0.11, 0.16, 0.16, 0.11, 
## 0.1, 0.11, 0.11, 0.11, 0.1, 0.11, 0.08, 0.13, 0.14, 0.13, 0.13, 
## 0.13, 0.11, 0.1, 0.1, 0.1, 0.13, 0.14, 0.13, 0.13, 0.11, 0.11, 
## 0.13, 0.16, 0.16, 0.18, 0.18, 0.16, 0.13, 0.03, 0.06, 0.08, 0.13, 
## 0.14, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.14, 
## 0.13, 0.06, 0.05, 0.1, 0.11, 0.11, 0.06, 0.05, 0.03, 0.03, 0.16, 
## 0.16, 0.14, 0.14, 0.1, 0.11, 0.1, 0.18, 0.16, 0.11, 0.11, 0, 
## -0.02, -0.03, -0.02, 0.05, 0.06, 0.08, 0.11, 0.13, 0.18, 0.18, 
## 0.18, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.05, 0.06, 0.06, 
## 0.05, 0.06, 0.11, 0.13, 0.14, 0.13, 0.14, 0.18, 0.18, 0.06, 0.06, 
## 0.08, 0.08, 0.08, 0.1, 0.11, 0.13, 0.14, 0.14, 0.13, 0.13, 0.16, 
## 0.19, 0.19, 0.18, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.14, 0.14, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.06, 0.13, 0.14, 0.16, 0.16, 0.16, 
## 0.14, 0.11, 0.1, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.08, 0.08, 0.1, 0.13, 0.13, 0.1, 0.11, 0.14, 0.14, 
## 0.1, 0.1, 0.08, 0.11, 0.11, 0.08, 0.08, 0.06, 0.02, 0, 0, 0.03, 
## 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.03, 0.03, 0.03, 0.05, 0.06, 
## 0.05, 0.03, 0.03, 0.05, 0.05, 0.02, 0.05, 0.05, 0.1, 0.02, -0.05, 
## -0.08, -0.1, -0.1, -0.06, -0.05, -0.03, 0, 0, 0.08, 0.08, 0.02, 
## -0.02, 0.02, 0.02, 0, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 
## 0, -0.02, -0.02, 0.08, 0.1, 0.11, -0.1, -0.1, 0.05, 0.02, 0.03, 
## 0.03, 0.03, 0.1, 0.03, 0.02, 0, 0, -0.13, -0.06, -0.03, -0.02, 
## -0.02, -0.02, -0.02, 0.02, 0.03, 0.14, 0.13, 0.1, 0.08, 0.05, 
## 0.06, 0.08, 0.08, 0.18, 0.16, 0.14, -0.43, -0.45, -0.45, -0.39, 
## -0.47, -0.45, -0.39, -0.37, -0.37, -0.39, -0.37, -0.39, -0.39, 
## -0.35, -0.34, -0.35, -0.4, -0.45, -0.47, -0.39, -0.39, -0.37, 
## -0.42, -0.39, -0.48, -0.48, -0.5, -0.5, -0.53, -0.55, -0.45, 
## -0.45, -0.45, -0.48, -0.5, -0.48, -0.47, -0.37, -0.37, -0.42, 
## -0.4, -0.39, -0.43, -0.43, -0.4, -0.42, -0.4, -0.39, -0.37, -0.37, 
## -0.4, -0.39, -0.39, -0.35, -0.35, -0.39, -0.48, -0.45, -0.42, 
## -0.42, -0.42, -0.47, -0.43, -0.43, -0.43, -0.39, -0.4, -0.47, 
## 0.05, 0.06, 0.08, 0.11, 0.11, 0.11, 0.1, 0.08, 0.08, 0.06, 0.05, 
## 0.05, 0.03, 0, -0.02, -0.02, 0.02, 0.03, 0.05, 0.11, 0.1, 0.05, 
## 0.02, -0.02, 0.05, 0.05, 0.05, 0.05, -0.02, -0.05, -0.06, -0.08, 
## 0.03, -0.02, -0.02, -0.03, -0.02, 0.05, 0.1, -0.02, -0.02, 0, 
## 0, 0, 0.03, 0, 0, -0.02, 0.02, 0.03, -0.02, 0, -0.06, -0.02, 
## 0.03, 0.05, 0.05, -0.02, -0.02, 0.1, 0.02, -0.02, -0.05, -0.02, 
## -0.02, 0, -0.02, 0, 0.03, 0.03, 0.02, 0.05, 0.05, 0, 0, 0, 0, 
## 0, 0.03, -0.02, -0.05, -0.03, 0.02, 0.02, 0.03, 0.05, 0.03, 0.05, 
## 0.06, 0.06, 0.06, 0.05, 0.05, 0.03, 0.03, 0.05, 0.06, 0.06, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.03, 
## 0, 0.03, 0.02, 0, 0.05, 0.02, -0.02, -0.37, -0.37, -0.39, -0.4, 
## -0.43, -0.43, -0.43, -0.42, -0.37, -0.39, -0.42, -0.45, -0.48, 
## -0.48, -0.48, -0.48, -0.45, -0.42, -0.39, -0.37, -0.39, -0.4, 
## -0.4, -0.47, -0.47, -0.5, -0.48, -0.45, -0.42, -0.35, -0.37, 
## -0.39, -0.4, -0.42, -0.45, -0.48, -0.39, -0.42, -0.47, -0.32, 
## -0.31, -0.31, -0.32, -0.34, -0.37, -0.42, -0.45, -0.5, -0.5, 
## -0.5, -0.5, -0.5, -0.43, -0.45, -0.45, -0.43, -0.4, -0.42, -0.4, 
## -0.45, -0.5, -0.51, -0.51, -0.55, -0.55, -0.5, -0.4, -0.39, -0.39, 
## -0.4, -0.43, -0.43, -0.39, -0.39, -0.34, -0.34, -0.35, -0.42, 
## -0.45, -0.43, -0.43, -0.42, -0.42, -0.43, -0.43, -0.45, -0.48, 
## -0.5, -0.5, -0.48, -0.43, -0.43, -0.45, -0.42, -0.39, -0.39, 
## -0.39, -0.42, -0.43, -0.42, -0.42, -0.4, -0.45, -0.47, -0.48, 
## -0.48, -0.51, -0.45, -0.42, -0.34, -0.34, -0.34, -0.45, -0.48, 
## -0.51, -0.47, -0.43, -0.32, -0.34, -0.35, -0.39, -0.45, -0.47, 
## -0.47, -0.48, -0.48, -0.47, -0.48, -0.48, -0.5, -0.42, -0.45, 
## -0.47, -0.43, -0.43, -0.43, -0.43, -0.43, -0.42, -0.43, -0.43, 
## -0.45, -0.5, -0.5, -0.5, -0.48, -0.48, -0.47, -0.35, -0.37, -0.39, 
## -0.39, -0.48, -0.48, -0.5, -0.48, -0.48, -0.48, -0.48, -0.48, 
## -0.42, -0.4, -0.4, -0.4, -0.42, -0.4, -0.42, -0.39, -0.39, -0.37, 
## -0.39, -0.43, -0.43, -0.43, -0.39, -0.39, -0.39, -0.4, -0.39, 
## -0.4, -0.42, -0.43, -0.43, -0.51, -0.53, -0.53, -0.51, -0.5, 
## -0.37, -0.32, -0.32, -0.34, -0.34, -0.35, -0.4, -0.48, -0.51, 
## -0.5, -0.55, -0.42, -0.42, -0.4, -0.39, -0.35, -0.48, -0.47, 
## -0.47, -0.48, -0.5, -0.5, -0.51, -0.55, -0.34, -0.42, -0.5, -0.53, 
## -0.58, -0.56, -0.5, -0.53, -0.48, -0.43, -0.43, -0.43, -0.39, 
## -0.39, -0.4, -0.5, -0.5, -0.4, -0.34, 0.14, 0.14, 0.14, 0.11, 
## 0.13, 0.1, 0.1, 0.1, 0.11, 0.11, 0.1, 0.08, 0.11, 0.14, 0.14, 
## 0.14, 0.13, 0.11, 0.13, 0.13, 0.16, 0.08, 0.1, 0.08, 0.08, 0.08, 
## 0.08, 0.1, 0.1, 0.1, 0.06, 0.08, 0.1, 0.14, 0.14, 0.16, 0.16, 
## 0.13, 0.1, 0.08, 0.13, 0.11, 0.06, 0.1, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.18, 0.13, 0.1, 0.08, 0.1, 0.1, 0.1, 
## 0.1, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.08, 0.06, 0.03, 0.05, 
## 0.06, 0.1, 0.14, 0.14, 0.16, 0.14, 0.13, 0.11, 0.1, 0.08, 0.06, 
## 0.06, 0.06, 0.05, 0.05, 0.11, 0.11, 0.18, 0.19, 0.13, 0.1, 0.08, 
## 0.1, 0.13, 0.14, 0.14, 0.16, 0.18, 0.14, 0.13, 0.11, 0.08, 0.14, 
## 0.13, 0.13, 0.11, 0.1, 0.05, 0.08, 0.13, 0.16, 0.14, 0.13, 0.1, 
## 0.08, 0.06, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.18, 0.1, 0.08, 
## 0.08, 0.1, 0.14, 0.13, 0.19, 0.13, 0.02, 0.02, 0.13, 0.13, 0.13, 
## 0.11, 0.1, 0.08, 0.05, 0.03, 0.05, 0.06, 0.18, 0.13, 0.13, 0.06, 
## 0.06, 0.1, 0.1, 0.1, 0.11, 0.1, 0.06, 0.06, 0.06, 0.11, 0.16, 
## 0.18, 0.16, 0.11, 0.1, -0.02, -0.02, -0.02, 0.03, 0.06, 0.08, 
## 0.11, 0.08, 0.08, 0.1, 0.14, 0.18, 0.19, 0.24, 0.32, 0.29, 0.26, 
## 0.24, 0.24, 0.18, 0.13, 0.1, 0.05, 0.02, 0, 0.02, 0.03, -0.05, 
## -0.18, -0.18, -0.1, -0.1, 0.05, 0.02, 0.06, 0.14, 0.18, 0.21, 
## 0.26, 0.18, 0.13, -0.11, -0.05, 0, 0.11, 0.21, 0.21, 0.21, 0.14, 
## -0.08, -0.06, 0.02, 0.03, -0.02, -0.03, 0, 0, 0, -0.18, -0.24, 
## -0.24, -0.31, -0.13, -0.1, 0.03, 0.14, 0.14, 0.19, 0.22, 0.21, 
## 0.16, 0.05, -0.02, -0.11, -0.18, -0.21, -0.19, -0.21, -0.18, 
## 0.13, 0.11, -0.14, -0.1, -0.11, -0.02, 0.03, 0.16, 0.34, 0.32, 
## 0.14, 0.08, 0.05, -0.08, -0.08, -0.1, -0.11, -0.13, 0.02, 0.06, 
## 0.1, 0.02, -0.06, -0.19, 0.11, 0.13, 0.1, 0.02, 0.14, -0.21, 
## -0.26, -0.05, -0.18, -0.18, -0.18, -0.22, -0.11, 0, -0.08, 0.03, 
## 0.24, 0.1, -0.06, -0.03, 0, 0.02, 0.03, 0, -0.03, -0.11, -0.14, 
## -0.11, -0.1, -0.1, -0.1, -0.06, 0.21, 0.14, 0.06, 0.1, 0.1, -0.02, 
## -0.02, 0.02, 0.02, -0.05, -0.16, -0.14, -0.05, -0.19, -0.08, 
## 0.02, 0.13, 0.13, 0.11, 0, 0.02, 0.05, 0.1, 0.1, 0.05, 0.03, 
## -0.14, -0.13, 0.02, 0.05, 0.08, 0.11, 0.03, 0.02, 0.13, 0.13, 
## 0.14, 0.11, 0.02, -0.02, 0.02, -0.02, 0.08, 0.14, 0.18, 0.08, 
## 0.03, 0.05, 0.06, 0.05, -0.26, -0.29, -0.24, -0.19, -0.08, -0.13, 
## -0.02, 0.05, 0.13, 0.19, 0.26, 0.26, 0.24, 0.26, 0.21, 0.13, 
## 0.03, -0.02, 0.06, -0.03, 0.08, 0.06, 0.08, 0.1, 0.02, -0.02, 
## -0.02, 0.05, 0.06, 0.08, 0, -0.08, -0.13, -0.18, -0.27, -0.26, 
## -0.22, -0.22, 0.05, 0.06, 0.05, 0.02, -0.1, -0.16, -0.16, 0.1, 
## 0.13, 0.14, 0.16, 0.29, 0.29, 0.26, 0.22, 0, -0.05, -0.11, -0.05, 
## 0.03, 0.06, 0, -0.14, -0.06, -0.03, -0.02, -0.06, 0.03, 0.16, 
## 0.14, 0.06, 0.08, 0.11, 0.1, 0.1, 0.08, 0.05, 0.02, -0.02, 0.02, 
## 0.05, -0.06, -0.14, -0.02, 0, 0.02, 0.02, -0.08, 0.02, 0.22, 
## 0.31, 0.22, 0.19, 0.11, 0.02, 0.03, 0.03, 0.1, 0.16, 0.18, 0.16, 
## 0.14, 0.11, 0.05, 0.02, -0.02, -0.02, 0, 0.13, 0.06, 0.02, 0, 
## -0.05, -0.05, -0.06, -0.03, -0.02, -0.02, 0.05, 0.06, 0.06, 0.05, 
## 0.05, -0.02, -0.03, -0.03, -0.06, -0.06, -0.05, -0.03, -0.02, 
## 0, 0.02, 0.03, 0.18, 0.18, 0.14, 0.11, 0.02, -0.02, -0.06, -0.03, 
## -0.03, 0.03, 0.02, 0, -0.02, -0.02, -0.02, -0.02, 0.02, 0.05, 
## 0.06, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0, 0, -0.03, -0.05, 
## -0.03, 0, 0.03, 0.06, 0.14, 0.06, -0.02, -0.03, -0.02, 0, 0, 
## 0.02, 0.02, 0.02, -0.05, -0.05, -0.03, 0.02, 0.08, 0.1, 0.08, 
## 0.06, 0.05, 0.02, -0.02, -0.02, -0.05, -0.05, -0.05, -0.03, -0.08, 
## -0.06, -0.08, -0.08, -0.05, 0.06, 0.1, 0.13, 0.11, 0.05, 0.05, 
## 0.05, 0, 0, 0, -0.02, 0, -0.02, 0.03, 0.06, 0.1, 0.1, 0.08, 0.06, 
## 0.06, 0.02, 0.02, -0.02, -0.03, -0.05, -0.06, -0.05, 0.1, 0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.06, -0.06, -0.05, -0.02, 0.02, 
## 0.05, 0.1, 0.1, 0.11, 0.11, 0.11, 0.03, -0.06, -0.06, -0.05, 
## -0.03, -0.02, 0, -0.02, 0, 0.08, 0.08, 0.05, 0.03, 0.02, 0.02, 
## -0.02, -0.05, -0.05, -0.03, -0.02, 0, 0.03, 0.05, 0.02, -0.03, 
## -0.05, -0.05, 0.1, 0.03, 0.02, 0.03, 0.03, 0, 0, 0.03, 0, -0.03, 
## -0.03, -0.02, 0.02, 0.03, 0.1, 0, -0.06, -0.06, -0.03, -0.02, 
## 0.03, -0.03, 0.03, 0.19, 0.21, 0.21, 0.19, -0.03, -0.05, -0.02, 
## -0.02, 0, 0.02, 0.03, 0.02, 0.03, 0.03, 0, -0.03, -0.05, -0.03, 
## -0.05, -0.05, -0.03, -0.03, -0.02, -0.05, -0.06, -0.08, -0.06, 
## 0, 0.06, 0.11, 0.03, 0.03, 0.06, 0.05, 0, -0.06, -0.05, -0.03, 
## 0.13, 0.16, -0.02, -0.02, -0.03, -0.05, -0.06, -0.03, 0.02, 0.05, 
## 0.05, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, -0.02, -0.02, -0.03, 
## 0, 0.02, 0.03, 0.1, 0.16, 0.13, 0.06, 0.03, 0, -0.02, -0.08, 
## 0, 0.1, 0.21, 0.06, 0.02, -0.02, -0.05, -0.05, -0.06, -0.06, 
## -0.05, -0.03, 0, 0.02, 0.06, 0.05, -0.02, -0.03, -0.02, 0.05, 
## 0.03, 0.16, 0.06, 0.02, 0.05, 0.03, -0.05, -0.11, -0.08, -0.06, 
## -0.02, 0.03, -0.03, -0.03, -0.05, -0.02, 0.02, 0.05, 0.06, 0.14, 
## 0.14, 0, -0.02, -0.05, 0.02, 0.05, 0.05, 0.02, 0, 0, 0, 0.02, 
## 0.02, 0.11, 0.02, 0.02, 0.03, 0.03, 0.03, -0.08, -0.08, -0.1, 
## -0.08, -0.03, 0.1, 0.1, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.06, 
## 0.22, 0.11, 0.03, 0.03, 0.03, 0.06, 0.02, 0, -0.02, 0.02, 0.03, 
## 0.05, 0.06, 0.1, -0.03, -0.08, -0.08, -0.11, -0.03, 0.03, 0.1, 
## 0.13, 0.05, 0.02, -0.03, -0.02, 0.03, 0.02, 0.02, -0.02, -0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0, 
## 0.02, 0, 0, 0.03, 0.02, 0.03, 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, -0.03, -0.03, 0, 0, 0, -0.02, 
## -0.03, -0.05, -0.05, -0.05, -0.05, 0, 0.02, 0.05, 0.05, 0.03, 
## 0.06, 0.1, 0.05, 0.02, 0.11, 0.16, 0.16, -0.08, -0.06, -0.06, 
## -0.05, 0.05, 0, 0.02, 0.02, 0.03, 0.03, 0.02, 0.1, 0.08, 0.08, 
## 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.13, 0.1, 0.14, 0.16, 0.11, 
## 0.11, 0.1, 0.1, 0.1, 0.11, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.13, 0.14, 0.14, 0.14, 0.1, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.06, 0.08, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.13, 0.11, 0.11, 0.13, 0.14, 0.13, 0.13, 0.1, 0.1, 0.13, 
## 0.13, 0.14, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.08, 0.06, 0.06, 0.11, 0.11, 0.16, 0.14, 0.19, 0.19, 0.18, 
## 0.16, 0.14, 0.14, 0.14, 0.14, 0.13, 0.08, 0.08, 0.08, 0.08, 0.06, 
## 0.08, 0.08, 0.1, 0.11, 0.11, 0.13, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 
## 0.13, 0.13, 0.11, 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 0.13, 0.14, 
## 0.11, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.08, 0.06, 0.06, 0.08, 0.16, 0.14, 0.14, 0.1, 0.11, 0.11, 
## 0.1, 0.08, 0.1, 0.1, 0.18, 0.19, 0.21, 0.06, 0.08, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.1, 0.1, 0.1, 0.08, 0.06, 0.05, 0.14, 0.18, 
## 0.18, 0.16, 0.1, 0.06, 0.06, 0.06, 0.14, 0.26, 0.42, 0.43, 0.42, 
## 0.37, 0.34, 0.4, 0.4, 0.39, 0.31, 0.24, 0.18, 0.16, 0.21, 0.03, 
## 0.05, 0.08, 0.13, 0.13, 0.1, 0.1, 0.1, 0.08, 0.08, 0.13, 0.16, 
## 0.19, 0.19, 0.02, 0.03, 0.02, -0.06, 0.08, 0.08, 0.08, 0.08, 
## 0.16, 0.16, 0.16, 0.16, 0.11, 0.11, 0.1, 0.16, 0.11, 0.1, 0.1, 
## 0.1, 0.13, 0.13, 0.08, 0.08, 0.08, 0.06, 0.06, 0.06, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 
## 0.14, 0.14, 0.14, 0.13, 0.11, 0.06, 0.08, 0.1, 0.11, 0.14, 0.14, 
## 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.16, 0.16, 
## 0.14, 0.11, 0.08, 0.1, 0.1, 0.11, 0.1, 0.11, 0.1, 0.08, 0.06, 
## 0.1, 0.11, 0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.08, 0.08, 0.08, 0.11, 0.13, 0.13, 0.18, 0.16, 
## 0.14, 0.11, -0.03, 0, 0.02, 0.13, 0.14, 0.21, 0.27, 0.11, 0.1, 
## 0.11, 0.13, 0.22, 0.21, 0.19, 0.13, 0.03, 0, -0.02, -0.03, -0.05, 
## -0.03, 0, 0.05, 0.05, 0.08, 0.08, 0.08, 0.03, 0.03, 0.06, 0.06, 
## 0.08, 0.13, 0.21, 0.19, 0.18, 0.13, 0.13, 0.13, 0.11, 0.11, 0.08, 
## 0.05, 0.05, 0.06, 0.1, 0.11, 0.11, 0.13, 0.14, 0.13, 0.14, 0.14, 
## 0.14, 0.14, 0.13, 0.1, 0.05, 0.03, 0.05, 0.05, 0.08, 0.08, 0.08, 
## 0.08, 0.08, 0.13, 0.14, 0.16, 0.19, 0.21, 0.22, 0.22, 0.21, 0.21, 
## 0.14, 0.1, 0.1, 0.06, 0.06, 0.08, 0.06, 0.05, 0.05, 0.06, 0.08, 
## 0.06, 0.08, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.14, 0.14, 0.18, 
## 0.18, 0.18, 0.18, 0.08, 0.08, 0.11, 0.13, 0.1, 0.08, 0.06, 0.08, 
## 0.08, 0.1, 0.08, 0.08, 0.06, 0.08, 0.1, 0.1, 0.16, 0.16, 0.16, 
## 0.14, 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 0.06, 0.08, 0.1, 0.21, 
## 0.14, 0.03, 0.05, 0.06, 0.11, 0.08, 0.08, 0.08, 0.11, 0.11, 0.11, 
## 0.13, 0.14, 0.16, 0.16, 0.16, 0.13, 0.16, 0.14, 0.16, 0.16, 0.18, 
## 0.16, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.14, 0.13, 
## 0.1, 0.08, 0.1, 0.11, 0.13, 0.13, 0.14, 0.14, 0.13, 0.11, 0.11, 
## 0.11, 0.1, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.1, 0.08, 
## 0.1, 0.1, 0.1, 0.1, 0.06, 0.06, 0.08, 0.13, 0.06, 0.08, 0.08, 
## 0.1, 0.1, 0.11, 0.13, 0.14, 0.16, 0.14, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.08, 0.13, 0.13, 0.13, 0.13, 0.16, 0.13, 0.11, 0.08, 0.05, 
## 0.03, 0, 0.03, 0.05, 0.13, 0.21, 0.26, 0.03, 0.03, 0.02, -0.02, 
## 0, 0.03, 0.02, 0.02, 0.03, 0.03, 0.06, 0.02, -0.05, -0.06, -0.13, 
## -0.11, -0.1, -0.03, -0.02, -0.02, -0.03, -0.02, 0.02, 0.03, 0.02, 
## 0.02, -0.03, -0.05, -0.03, -0.03, -0.03, 0, 0, 0, -0.02, -0.06, 
## -0.06, -0.05, -0.03, -0.02, -0.02, 0.05, 0.11, 0.16, 0.19, 0.14, 
## -0.02, -0.03, -0.02, -0.02, -0.03, 0, -0.13, -0.11, -0.14, -0.14, 
## 0.03, 0.06, 0.13, 0.1, 0.08, 0.1, 0.05, -0.18, 0.05, 0.08, 0.13, 
## 0.16, 0.24, 0.21, 0.18, 0.03, 0, 0, 0.05, 0, -0.05, -0.06, -0.13, 
## -0.14, -0.02, 0.29, 0.24, 0.06, -0.11, -0.08, -0.02, 0.1, 0.13, 
## 0.11, 0.1, 0.03, 0, 0.06, 0.1, 0.05, 0.03, -0.02, -0.16, -0.02, 
## 0.06, 0.1, 0.11, 0.11, 0.08, 0.11, 0.08, 0.05, -0.05, -0.11, 
## -0.1, -0.08, 0.02, -0.1, 0.02, 0.16, 0.16, 0.13, 0.06, 0.03, 
## 0.1, -0.03, -0.13, -0.08, -0.08, -0.1, -0.11, -0.08, -0.43, -0.43, 
## -0.43, -0.42, -0.43, -0.45, -0.48, -0.53, -0.51, -0.47, -0.39, 
## -0.35, -0.37, -0.39, -0.48, -0.5, -0.42, -0.32, -0.39, -0.4, 
## -0.43, -0.5, -0.47, -0.5, -0.47, -0.45, -0.45, -0.43, -0.51, 
## -0.51, -0.51, -0.48, -0.39, -0.42, -0.45, -0.42, -0.4, -0.4, 
## -0.39, -0.37, -0.4, -0.42, -0.43, -0.43, -0.47, -0.48, -0.5, 
## -0.51, -0.53, -0.51, 0.08, 0.1, 0.08, 0.08, 0.08, 0.08, 0.06, 
## 0.06, 0.02, 0.02, -0.02, -0.06, -0.1, -0.02, 0.06, 0.08, 0.06, 
## 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0.02, 0.02, 0.03, 0.03, 0.1, 
## 0.06, 0.08, 0.05, 0.03, 1.8, 1.77, 1.78, 1.3, 1.49, 1.38, 1.2, 
## 1.01, 0.53, 0.51, 0.8, 0.77, 0.71, 0.63, 0.5, 0.37, 0.26, 0.18, 
## 0.13, 0.11, -0.02, 0.11, 0.1, 0.1, 0.13, 0.02, 0.37, 0.32, 0.31, 
## 0.31, 0.29, 0.22, 0.14, -0.02, -0.02, 0.05, 0.1, 0.14, 0.16, 
## 0.29, 0.27, 0.13, 0.08, -0.05, -0.11, -0.21, -0.19, -0.02, -0.05, 
## -0.16, -0.08, -0.03, 0.11, 0.08, 0.06, 0.11, 0.11, 0.16, 0.18, 
## 0.19, 0.18, 0.22, 0.37, 0.39, 0.32, 0.19, 0.19, 0.29, 0.24, 0.06, 
## 0.03, 0.03, 0.06, 0.26, 0.32, 0.51, 0.61, 0.72, 0.55, 0.45, 0.4, 
## -0.18, -0.24, -0.24, -0.22, -0.11, -0.08, 0.11, 0.08, 0.06, -0.02, 
## -0.1, -0.11, -0.1, -0.11, -0.13, -0.03, 0.06, 0.11, 0.29, 0.51, 
## 0.59, 0.67, 0.75, 0.77, 0.8, 0.85, 0.92, 1.01, 1.17, 1.12, 1.08, 
## 0.85, 1.08, 1.08, 0.47, 0.27, 0.27, 0.16, 0.11, 0.06, 0.31, 0.02, 
## 0.03, 0.05, 0.08, 0.21, -0.32, -0.32, -0.31, -0.19, -0.21, -0.22, 
## -0.18, 0.13, 0.22, 0.26, 0.24, 0.03, -0.06, -0.08, -0.08, -0.02, 
## 0.03, 0.13, 0.11, -0.03, -0.11, -0.16, -0.18, -0.13, -0.06, 0.19, 
## 0.26, 0.24, 0.22, 0.19, 0.21, 0.16, 0.13, 0.11, 0.05, 0.03, -0.1, 
## -0.1, -0.1, -0.14, -0.13, -0.11, -0.08, -0.05, 0, 0.03, 0.14, 
## -0.06, -0.13, -0.16, -0.16, -0.1, 0.18, 0.24, 0.31, 0.37, 0.1, 
## 0.03, -0.08, -0.26, -0.19, 0.22, 0.19, 0.16, 0.1, 0.05, 0.08, 
## 0.08, 0.1, -0.05, -0.06, -0.16, -0.21, -0.22, -0.24, -0.19, 0.05, 
## 0.13, 0.08, 0.05, 0.06, 0.08, 0.13, 0.18, 0.31, 0.31, 0.26, 0.19, 
## 0.13, -0.11, -0.16, -0.29, -0.31, -0.27, -0.22, -0.14, 0.13, 
## 0.05, 0.05, 0.11, -0.06, -0.11, -0.06, -0.03, 0.02, -0.02, -0.08, 
## -0.1, 0.06, 0.18, 0.21, 0.11, 0, -0.03, 0, 0.05, 0.1, 0.1, 0.13, 
## 0.16, 0.18, 0.21, 0.19, 0.05, -0.11, -0.18, -0.19, -0.1, 0.05, 
## 0.03, 0.18, 0.18, 0.13, 0.05, -0.03, -0.08, -0.13, -0.19, -0.19, 
## -0.13, -0.03, 0.05, 0.08, 0.13, 0.16, 0.08, 0.02, 0.03, 0.1, 
## 0.05, -0.03, -0.13, -0.16, -0.14, -0.13, -0.06, -0.03, -0.08, 
## -0.06, -0.02, 0.08, 0.13, 0.1, 0.08, 0.05, 0.03, 0.03, 0.05, 
## -0.08, -0.08, -0.06, 0.1, 0.18, 0.18, 0.31, 0.22, 0.03, -0.08, 
## 0.08, 0.08, 0.05, -0.02, -0.02, -0.06, -0.08, -0.05, -0.14, -0.18, 
## -0.35, -0.26, -0.22, -0.11, -0.05, 0.02, 0.03, 0.08, 0.16, 0.06, 
## 0.05, 0.05, 0.06, 0.06, 0.08, 0.08, 0.05, 0.03, 0.02, 0, 0, 0.03, 
## -0.1, 0.21, 0.08, 0.02, 0, -0.03, -0.05, -0.05, -0.02, 0, 0.02, 
## -0.1, -0.16, -0.18, -0.16, -0.16, -0.18, -0.13, -0.05, 0.02, 
## 0.03, 0.08, 0.11, 0.14, 0.19, 0.19, 0.05, 0, 0, 0, 0, 0.03, 0.05, 
## 0.06, 0.06, 0.05, 0.05, 0.06, 0.06, 0.05, 0.05, 0.05, 0.05, 0.08, 
## 0.08, 0.03, 0.03, 0.03, 0.05, 0.06, 0.11, 0.11, 0.08, 0.13, 0.1, 
## 0.02, 0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0.02, 
## 0.06, 0.06, 0.08, 0.06, 0.06, -0.43, -0.45, -0.66, -0.58, -0.39, 
## -0.56, -0.63, -0.66, -0.75, -0.82, -0.83, -0.64, -0.08, -0.14, 
## -0.4, -0.53, -0.71, -0.64, -0.59, -0.19, -0.13, -0.11, -0.11, 
## -0.21, -0.21, -0.5, -0.55, -0.61, -0.66, -0.9, -0.96, -0.95, 
## -0.67, -0.56, -0.21, -0.1, -0.1, -0.06, -0.08, -0.24, -0.32, 
## -0.42, -0.56, -0.5, -0.55, -0.58, -0.55, -0.27, -0.21, -0.22, 
## -0.31, -0.39, -0.51, -0.53, -0.48, -0.48, -0.47, -0.45, -0.69, 
## -0.82, -0.96, -0.88, -0.82, -0.08, -0.13, -0.13, -0.32, -0.43, 
## -0.39, -0.29, -0.31, -0.37, -0.55, -0.47, -0.47, -0.37, -0.34, 
## -0.51, -0.53, -0.53, 0.06, 0.05, 0.08, -0.06, -0.11, -0.16, -0.11, 
## -0.06, -0.03, 0.11, 0.11, 0.18, 0.16, 0.16, 0.14, 0.13, 0.16, 
## 0.27, 0.26, 0.21, 0.16, 0.13, 0.11, 0.11, -0.11, 0.02, 0.08, 
## 0.11, 0.06, 0.02, -0.18, -0.08, -0.05, -0.03, 0.14, 0.22, 0.21, 
## 0.21, 0.21, 0.19, 0.21, 0.21, 0.29, 0.31, 0.14, 0.18, 0.22, 0.24, 
## 0.29, 0.27, 0.27, 0.27, 0.24, 0.21, 0.21, 0.02, 0, 0, 0.02, 0.02, 
## 0.03, 0.02, 0.02, 0.02, 0.02, 0.1, 0.16, 0.22, 0.21, 0.18, 0.14, 
## 0.06, 0.06, 0.05, 0.03, 0.02, 0, -0.03, 0.02, 0.05, 0.08, 0.18, 
## 0.19, 0.21, 0.19, 0.21, 0.16, 0.14, 0.16, 0.22, 0.22, 0.19, 0.19, 
## 0.11, 0.06, 0.03, 0.02, 0, 0, -0.02, -0.02, 0, -0.02, -0.03, 
## 0.06, 0.05, 0.1, 0.1, 0.1, 0.13, 0.18, 0.16, 0.16, 0.16, 0.13, 
## 0.19, 0.1, 0.11, -0.06, -0.06, -0.03, 0.02, 0, 0.05, 0.19, 0.37, 
## 0.43, 0.22, 0.21, 0.24, 0.24, 0.19, 0.21, 0.22, 0.27, 0.29, 0.27, 
## 0.19, 0.05, 0.02, -0.03, -0.14, -0.13, -0.06, 0.02, 0.14, 0.18, 
## 0.08, 0.05, 0.1, 0.14, 0.1, 0.06, -0.02, -0.1, 0.06, 0.24, 0.32, 
## 0.32, 0.35, 0.37, 0.27, 0.19, 0.18, 0.14, 0.13, 0, -0.02, -0.05, 
## 0.02, 0.03, 0.03, 0.11, 0, -0.02, -0.03, -0.02, 0.02, -0.05, 
## -0.21, -0.1, 0.02, 0.03, 0.06, 0.13, 0.29, 0.4, 0.47, -0.08, 
## -0.06, 0.06, 0.13, 0.16, 0.16, 0.19, 0.16, 0.16, 0.14, -0.02, 
## -0.08, -0.06, -0.05, -0.02, 0.1, 0.19, 0.18, 0.19, 0.06, 0.03, 
## -0.02, -0.02, 0.24, 0.29, 0.22, 0.19, 0.13, 0.14, 0.18, 0.24, 
## 0.22, 0.08, 0.08, 0.18, 0.13, 0.14, 0.13, 0.1, 0.13, 0.14, 0.22, 
## 0.29, 0.34, 0.22, 0.22, 0.19, 0.16, 0.02, -0.05, -0.03, 0, 0.05, 
## 0.11, 0.13, 0.14, 0.19, 0.22, 0.24, 0.24, 0.21, 0.24, 0.22, 0.11, 
## 0.02, -0.03, -0.02, -0.03, -0.05, -0.06, -0.08, -0.11, 0.22, 
## 0.19, 0.19, 0.18, 0.18, 0.18, 0.19, 0.08, 0.02, 0, -0.03, -0.08, 
## 0.03, 0.21, 0.22, 0.22, 0.26, 0.31, 0.31, 0.29, 0.18, 0.06, 0.06, 
## 0.03, -0.02, -0.06, -0.05, 0, -0.21, -0.08, -0.08, -0.02, 0.02, 
## 0.18, 0.19, 0.19, 0.14, 0.05, 0.02, 0, 0.21, 0.19, 0.18, 0.16, 
## 0.18, 0.22, 0.24, 0.26, 0.35, 0.34, 0.29, 0.05, -0.08, -0.16, 
## -0.14, -0.05, -0.02, -0.05, 0.13, 0.29, 0.34, 0.35, 0.35, 0.22, 
## 0.16, 0.14, 0.14, 0.16, 0.13, 0.1, 0.03, 0.03, -0.08, -0.06, 
## -0.02, 0.03, 0.18, 0.22, 0.24, 0.24, 0.31, 0.35, 0.4, 0.4, 0.39, 
## 0.32, 0.14, 0.06, 0.05, 0.05, -0.08, -0.24, -0.27, -0.13, -0.08, 
## -0.06, 0.1, 0.16, 0.21, 0.24, 0.19, 0.21, 0.26, 0.29, 0.31, 0.29, 
## 0.11, -0.02, -0.06, -0.08, -0.08, 0.11, 0.37, 0.45, 0.42, 0.43, 
## 0.45, 0.39, 0.22, 0.29, 0.42, 0.5, 0.53, 0.13, 0.08, 0.26, 0.32, 
## 0.24, 0.19, 0.06, 0.1, 0.02, 0.08, 0.11, 0.13, 0.14, 0.18, 0.27, 
## 0.29, 0.34, 0.34, 0.32, 0.29, 0.26, 0.26, 0.24, 0.24, -0.02, 
## -0.05, -0.06, -0.08, -0.13, -0.05, 0.03, -0.05, -0.02, 0, 0.02, 
## 0, -0.02, -0.06, -0.06, -0.08, -0.06, 0.06, 0.08, 0.03, -0.03, 
## -0.06, -0.08, -0.06, -0.06, -0.05, -0.03, -0.02, 0.08, -0.06, 
## -0.08, -0.06, -0.06, -0.08, -0.13, -0.1, -0.06, -0.06, -0.05, 
## 0.05, 0.03, -0.08, -0.08, -0.06, -0.06, 0.06, 0.02, -0.02, 0, 
## -0.08, 0.11, 0.13, 0.11, 0.08, 0.1, -0.03, -0.06, -0.08, -0.1, 
## -0.02, 0.06, 0.13, 0.1, 0.06, 0.05, 0.05, 0.03, 0.02, -0.03, 
## -0.05, -0.05, -0.05, -0.05, -0.06, -0.08, -0.08, -0.02, 0.11, 
## 0.03, 0.05, 0.06, -0.08, -0.06, -0.03, -0.03, -0.03, -0.05, -0.06, 
## 0.05, 0.14, -0.05, -0.08, -0.08, -0.06, 0.02, 0.03, 0.05, 0.06, 
## 0.14, 0.14, 0.13, 0.08, 0.06, 0.06, -0.02, -0.03, -0.06, -0.06, 
## -0.05, 0, 0, -0.05, -0.05, 0.05, 0.08, 0.08, 0, -0.1, -0.03, 
## 0.02, 0.13, 0.16, 0.14, 0.11, 0.1, 0.08, 0.06, 0.11, 0.11, 0.06, 
## -0.14, -0.08, -0.06, -0.05, 0.08, 0.13, 0.1, 0.08, 0.05, 0.05, 
## 0.03, 0.02, 0.02, 0, -0.02, -0.06, -0.06, -0.08, -0.06, 0.03, 
## 0.05, 0.06, 0.03, 0, -0.02, 0.02, 0.03, 0.02, -0.03, 0.03, 0.05, 
## 0.03, 0.02, 0, -0.05, -0.08, -0.08, -0.08, -0.03, -0.03, -0.02, 
## -0.03, 0.02, 0.06, 0.06, 0.08, 0.06, -0.02, -0.03, -0.05, -0.03, 
## -0.02, -0.02, 0.08, 0.08, 0.1, 0.16, 0.16, 0.14, 0.08, 0.06, 
## 0.06, 0.05, 0.08, 0.08, 0, -0.05, -0.06, -0.13, -0.11, -0.16, 
## -0.18, -0.1, -0.08, -0.03, 0.02, 0.08, 0.11, 0.1, 0.06, 0, 0.02, 
## 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0, 0.02, 0.03, 0.03, 0.03, 0.03, 
## 0.02, 0.02, 0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.8, 0.69, 0.58, 0.48, 0.39, 
## 0.39, 0.37, 1.33, 1.27, 1.54, 1.98, 2.02, 2.2, -0.02, 0, 0, 0, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0, 
## 0, 0, 0, 0, 0.03, -0.03, -0.02, 0.03, -0.11, 0, 0.06, 0.02, -0.22, 
## -0.61, -0.59, -0.21, -0.14, 0.16, 0.16, 0.21, 0.1, -0.24, -0.29, 
## -0.31, -0.18, -0.21, -0.16, -0.02, 0.34, 0.27, 0.24, 0.24, 0.08, 
## -0.08, -0.27, -0.03, -0.22, -0.19, 0.14, 0.39, 0.37, 0.21, 0.1, 
## 0.1, 0.08, -0.21, -0.37, -0.19, -0.05, 0.02, 0.24, 0.21, 0.22, 
## 0.08, -0.08, -0.22, -0.29, 0.02, 0.21, 0.37, 0.39, 0.29, 0.26, 
## 0.16, 0, 0.02, 0.05, 0.08, 0.11, 0.11, -0.05, -0.1, 0.11, 0.18, 
## 0.18, 0.18, 0.16, 0.16, 0.18, 0.18, -0.03, -0.34, -0.39, -0.53, 
## -0.4, -0.37, 0.21, 0.29, 0.14, 0.14, 0.16, 0.13, 0.14, 0.06, 
## -0.1, -0.1, -0.06, 0.16, 0.14, 0.03, -0.02, -0.1, -0.29, -0.26, 
## 0.08, 0.16, 0.27, 0.29, 0.34, 0.4, 0.31, 0.24, 0, -0.03, -0.1, 
## -0.05, -0.11, 0, 0.16, 0.19, 0.21, 0.14, -0.1, -0.16, -0.24, 
## -0.31, -0.4, -0.45, -0.4, -0.4, -0.06, 0, 0, 0.05, 0.1, 0.11, 
## 0.11, 0.11, 0.14, 0.19, 0.02, 0, 0, 0.02, -0.06, -0.03, 0.22, 
## 0.14, -0.32, -0.39, -0.42, -0.45, -0.02, 0.26, 0.27, 0.32, 0.24, 
## 0.24, 0.13, 0.05, 0, -0.1, -0.06, 0.06, 0.06, 0.14, -0.29, -0.13, 
## 0.13, 0.14, 0.16, 0.16, 0.06, -0.03, -0.14, -0.19, -0.27, -0.32, 
## -0.32, -0.27, -0.16, 0.34, 0.39, 0.37, 0.37, 0.35, 0.21, 0.16, 
## -0.06, -0.11, -0.14, -0.19, -0.05, 0.02, -0.16, -0.14, -0.18, 
## 0.03, 0.21, 0.22, 0.13, -0.1, -0.1, -0.05, -0.08, 0.02, 0, 0.03, 
## 0.03, 0.05, 0.05, 0.06, 0.06, 0, -0.02, -0.03, -0.02, 0.02, 0.06, 
## 0.11, 0.05, 0.02, 0, 0.03, 0.03, 0.03, 0.03, 0.02, 0, 0, 0, 0, 
## -0.08, -0.1, -0.1, -0.13, -0.16, -0.18, -0.13, -0.03, -0.14, 
## -0.05, 0.03, 0.1, 0.1, 0.06, 0.03, 0.03, 0.05, 0.02, 0, -0.08, 
## 0.06, 0.1, 0.13, 0.18, 0.26, 0.32, 0.35, 0.39, 0.39, 0.4, 0.35, 
## 0.35, 0.39, 0.4, 0.34, 0.29, 0.26, 0.24, 0.21, 0.13, 0.1, 0, 
## 0.02, 0.02, 0.13, 0.14, 0.22, 0.03, -0.14, -0.1, -0.06, -0.1, 
## -0.22, -0.16, -0.13, -0.11, -0.05, -0.03, -0.06, 0.02, 0.06, 
## 0.06, 0.08, 0.1, 0.13, 0.14, 0.26, 0.39, 0.4, 0.4, 0.42, 0.42, 
## 0.31, 0.27, 0.31, 0.32, 0.27, 0.27, 0.26, 0.11, -0.05, 0.06, 
## 0.02, -0.03, -0.03, -0.02, -0.03, -0.03, -0.11, -0.11, 0, 0.02, 
## 0.03, 0.11, 0.11, 0.18, 0.19, 0.22, 0.32, 0.42, 0.42, 0.4, 0.39, 
## 0.37, 0.34, 0.34, 0.32, 0.34, 0.31, 0.24, 0.22, 0.22, 0.19, 0.19, 
## 0.14, 0.11, 0.11, 0.13, 0.1, 0, -0.05, -0.11, -0.06, -0.08, -0.1, 
## -0.08, -0.05, -0.06, 0, 0, -0.03, -0.08, -0.1, 0, 0.03, 0.03, 
## 0.11, 0.13, 0.18, 0.21, 0.29, 0.31, 0.4, 0.4, 0.32, 0.31, 0.29, 
## 0.31, 0.06, 0.11, 0.22, 0.1, -0.02, -0.08, -0.05, 0.02, 0.06, 
## 0.19, 0.18, 0.18, 0.29, 0.31, 0.31, 0.32, 0.34, 0.34, 0.29, 0.18, 
## 0, 0.03, -0.02, 0.03, 0, -0.14, -0.16, -0.21, -0.18, -0.11, -0.06, 
## -0.05, 0.03, 0.08, -0.05, 0.05, 0.06, 0.03, 0, -0.03, 0.1, 0.13, 
## 0.14, 0.14, 0.16, 0.18, 0.39, 0.39, 0.4, 0.39, -0.13, -0.08, 
## -0.08, -0.06, -0.02, 0.05, 0.05, -0.06, -0.1, -0.1, -0.06, -0.02, 
## 0, 0.05, 0.1, 0.1, 0.08, 0.18, 0.21, 0.26, 0.26, 0.24, 0.24, 
## 0.27, 0.29, 0.27, 0.27, 0.24, 0.24, 0.24, 0.21, 0.18, 0.13, 0.08, 
## 0.05, 0.03, 0, -0.02, 0.02, 0, 0.02, 0.1, -0.11, -0.1, 0.05, 
## 0.03, 0.02, -0.06, -0.05, -0.05, -0.02, 0.02, 0.08, 0.14, 0.11, 
## 0.22, 0.24, 0.27, 0.27, 0.26, 0.26, 0.32, 0.35, 0.11, -0.13, 
## -0.18, -0.19, -0.1, -0.02, 0.11, 0.16, 0.39, 0.39, 0.37, 0.34, 
## 0.31, 0.29, 0.27, 0.21, 0.24, 0.16, 0.16, 0.34, 0.35, 0.35, 0.32, 
## 0.32, 0.32, 0.27, 0.24, 0.06, 0.1, 0.06, 0.05, 0.03, -0.14, -0.16, 
## -0.16, 0.26, 0.24, 0.18, 0.16, 0.13, -0.05, -0.06, 0.06, 0.08, 
## -0.05, -0.1, -0.32, -0.24, -0.56, -0.82, -0.72, -0.5, -0.43, 
## -0.42, -0.4, -0.42, -0.45, -0.4, -0.26, -0.19, -0.58, -0.72, 
## -0.67, -0.66, -0.14, -0.37, -0.39, -0.42, -0.53, -0.64, -0.69, 
## -0.67, -0.47, -0.32, -0.27, -0.14, -0.11, -0.1, -0.13, -0.56, 
## -0.63, -0.66, -0.67, -0.59, -0.55, -0.55, -0.26, -0.37, -0.45, 
## -0.48, -0.45, -0.48, -0.45, -0.35, -0.35, -0.42, -0.5, -0.66, 
## -0.74, -0.63, -0.63, -0.58, -0.08, -0.21, -0.24, -0.22, -0.22, 
## -0.4, -0.72, -0.5, -0.53, -0.59, -0.58, -0.29, -0.11, -0.39, 
## -0.4, -0.37, -0.37, -0.24, -0.16, -0.59, -0.66, -0.75, -0.31, 
## -0.27, -0.22, -0.21, -0.21, -0.37, -0.43, -0.82, -0.85, -1.04, 
## -0.88, -0.56, -0.42, -0.14, -0.21, -0.22, -0.29, -0.26, -0.11, 
## 0.1, 0.1, 0.02, -0.19, -0.45, -0.59, -0.69, -0.88, -0.92, -0.93, 
## -0.95, -1, -0.92, -0.64, -0.56, -0.43, -0.19, -0.21, -0.22, -0.22, 
## -0.29, -0.61, -0.79, -0.74, -0.67, -0.37, -0.03, -0.51, -0.47, 
## -0.39, -0.5, -0.5, -0.5, -0.51, -0.51, -0.5, -0.51, -0.55, -0.55, 
## -0.53, -0.51, -0.47, -0.47, -0.45, -0.43, -0.42, -0.39, -0.39, 
## -0.42, -0.43, -0.48, -0.5, -0.43, -0.4, 0, -0.02, -0.05, -0.03, 
## -0.03, -0.02, -0.03, -0.02, 0.06, 0.06, 0.08, 0.1, 0.1, 0.1, 
## 0.1, 0.06, 0.05, 0.06, 0.06, 0.06, 0.05, 0, 0.02, 0.02, 0.03, 
## 0.02, 0, -0.03, -0.02, -0.13, -0.18, -0.19, -0.26, 0.05, 0.05, 
## 0.08, 0.13, 0.14, 0.16, 0.18, 0.19, 0.21, 0.27, 0.31, 0.29, 0.27, 
## -0.02, 0.05, 0.08, 0.08, 0.06, 0.06, 0.06, 0.08, 0.05, 0.03, 
## 0.03, 0.03, 0.03, 0.02, 0.03, 0.03, 0.02, 0.16, 0.13, 0.1, -0.02, 
## -0.05, -0.11, -0.22, -0.24, -0.16, -0.13, 0.08, 0.21, 0.32, 0.35, 
## 0.13, 0.1, -0.06, -0.1, -0.35, -0.35, -0.37, -0.06, 0.02, 0.13, 
## 0.18, 0.29, 0.32, 0.34, 0.14, 0, -0.16, -0.21, -0.22, 0.05, 0.03, 
## 0.03, 0.03, 0.05, 0.05, 0.08, 0.08, 0.08, 0.03, 0.02, 0, 0.02, 
## -0.02, 0.02, 0.02, -0.02, -0.03, -0.03, 0, 0, -0.1, -0.18, -0.13, 
## -0.06, -0.02, 0.05, 0.08, 0.1, 0.11, 0.06, 0.02, 0, 0.02, 0.02, 
## 0.02, 0.03, 0.05, 0.03, 0, 0, -0.02, -0.02, 0.02, 0.03, 0.02, 
## 0, -0.08, -0.08, -0.1, -0.08, -0.03, -0.02, -0.02, 0.02, 0.08, 
## -0.08, 0.02, 0.02, -0.11, -0.11, -0.37, -0.35, -0.5, -0.5, -0.48, 
## -0.47, -0.5, -0.51, -0.48, -0.48, -0.48, -0.48, -0.5, -0.45, 
## -0.47, -0.06, -0.18, -0.14, -0.14, -0.22, -0.26, -0.35, -0.5, 
## -0.66, -0.48, -0.45, -0.48, -0.29, -0.29, -0.59, -0.59, -0.55, 
## -0.32, -0.27, -0.43, -0.47, -0.51, -0.61, -0.34, -0.47, -0.4, 
## -0.43, -0.37, -0.24, -0.4, -0.18, -0.21, -0.22, -0.51, -0.67, 
## -0.8, -0.66, -0.55, -0.39, -0.32, -0.27, -0.22, -0.47, -0.26, 
## -0.26, -0.32, -0.37, -0.5, -0.72, -0.69, -0.66, -0.58, -0.59, 
## -0.16, -0.16, 0.02, 0.05, 0, 0.05, 0.1, 0.13, 0.13, 0.02, -0.02, 
## -0.1, -0.11, -0.19, -0.24, -0.19, 0.08, 0.06, 0.1, 0.14, 0.16, 
## 0.18, 0.19, 0.29, 0.16, -0.06, -0.11, -0.13, -0.14, 0.19, 0.14, 
## 0.16, 0.16, 0.06, 0.03, 0.02, -0.03, -0.05, -0.1, -0.14, -0.18, 
## -0.19, -0.16, 0.02, 0.16, 0.11, 0.08, 0.06, 0.05, 0.05, 0.06, 
## 0.06, 0.05, 0.02, -0.18, -0.18, -0.18, -0.16, -0.08, -0.05, -0.03, 
## 0, 0.06, 0.1, 0.08, 0.06, -0.42, -0.43, -0.37, -0.39, -0.42, 
## -0.45, -0.22, 0.18, 0.21, 0.22, 0.26, 0.29, 0.35, 0.37, 0.37, 
## 0.39, 0.37, 0.35), gyros_belt_y = c(0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.02, -0.03, -0.06, -0.06, -0.05, -0.06, -0.05, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.03, 0, 0, -0.02, -0.03, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 
## 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.05, -0.03, -0.03, 
## -0.03, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.05, -0.05, -0.05, -0.03, -0.05, 
## -0.03, -0.03, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.05, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.05, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.03, -0.05, -0.05, -0.05, 0, 0, -0.02, 0, -0.02, -0.02, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.02, 0.14, 0.1, 0.1, 0.11, 0.13, 0.1, 0.08, 0.08, 0.06, 
## 0.05, 0.03, 0.05, 0.05, 0.03, 0.08, 0.1, 0.1, 0.11, 0.13, 0.13, 
## 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 0.14, 0.14, 0.13, 
## 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.29, 0.13, 0.13, 0.13, 0.14, 0.16, 0.14, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.18, 0.19, 0.16, 0.06, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.1, 0.1, 0.08, 0.11, 0.13, 0.14, 0.14, 0.14, 0.13, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 0.06, 0.05, 0.05, 0.08, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.13, 0.14, 0.14, 0.11, 0.11, 
## 0.06, 0.06, 0.05, 0.05, 0.1, 0.13, 0.08, 0.08, 0.08, 0.08, 0.1, 
## 0.1, 0.1, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
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## 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.14, 0.13, 0.1, 0.1, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 
## 0.1, 0.1, 0.1, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.13, 0.13, 0.11, 0.11, 0.14, 0.13, 0.1, 0.1, 
## 0.1, 0.1, 0.13, 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.1, 0.1, 0.11, 0.08, 0.13, 
## 0.11, 0.13, 0.13, 0.14, 0.13, 0.13, 0.13, 0.11, 0.1, 0.14, 0.14, 
## 0.14, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.1, 0.1, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.13, 
## 0.1, 0.08, 0.1, 0.1, 0.11, 0.13, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.06, 0.05, 0.06, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.14, 0.13, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.13, 0.11, 0.1, 0.1, 0.08, 0.1, 0.08, 0.1, 0.11, 0.11, 0.13, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.13, 0.11, 0.13, 0.11, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.14, 0.14, 0.16, 0.16, 0.14, 0.13, 0.11, 
## 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.14, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.14, 0.11, 0.1, 0.11, 0.11, 0.14, 0.14, 0.14, 0.14, 0.14, 
## 0.14, 0.14, 0.11, 0.13, 0.13, 0.13, 0.14, 0.13, 0.13, 0.14, 0.13, 
## 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.11, 0.13, 0.13, 0.13, 0.22, 0.26, 0.34, 0.37, 0.35, 
## 0.35, 0.29, 0.35, 0.4, 0.4, 0.31, 0.14, 0.06, 0, 0.02, 0, 0, 
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## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
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## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
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## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.1, 0.08, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.14, 
## 0.14, 0.11, 0.08, 0.05, 0.1, 0.08, 0.06, 0.06, 0.08, 0.08, 0.11, 
## 0.14, 0.18, 0.14, 0.13, 0.11, 0.08, 0.06, 0.05, 0.1, 0.11, 0.13, 
## 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 0.11, 0.13, 0.14, 0.13, 
## 0.13, 0.13, 0.11, 0.1, 0.1, 0.08, 0.1, 0.1, 0.1, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.11, 0.13, 0.13, 
## 0.14, 0.14, 0.14, 0.14, 0.13, 0.14, 0.13, 0.13, 0.11, 0.13, 0.13, 
## 0.13, 0.13, 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 0.1, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 0.13, 0.13, 0.11, 0.13, 
## 0.11, 0.11, 0.1, 0.1, 0.11, 0.13, 0.14, 0.13, 0.13, 0.13, 0.14, 
## 0.14, 0.14, 0.14, 0.14, 0.13, 0.11, 0.1, 0.11, 0.11, 0.1, 0.1, 
## 0.1, 0.08, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.13, 
## 0.14, 0.14, 0.14, 0.11, 0.13, 0.11, 0.13, 0.14, 0.13, 0.11, 0.1, 
## 0.06, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.14, 0.14, 0.22, 0.13, 0.13, 0.11, 0.13, 0.1, 0.08, 
## 0.1, 0.11, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.14, 0.16, 0.14, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.13, 0.08, 0.1, 0.13, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.14, 0.08, 0.1, 0.13, 0.13, 
## 0.1, 0.1, 0.11, 0.11, 0.1, 0.16, 0.16, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.1, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.14, 0.14, 0.14, 0.14, 0.1, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.14, 0.14, 0.13, 0.14, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 
## 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0, 0.03, 0.02, 0, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, 0.02, 0.03, 0.03, 0.02, 0.02, -0.02, -0.02, -0.02, 
## 0, 0.02, 0.05, 0.05, 0.03, 0.03, 0.02, 0, -0.02, -0.02, -0.02, 
## 0, 0, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0, -0.02, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.02, -0.03, -0.05, 
## -0.03, -0.02, -0.02, -0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 
## 0.02, -0.02, 0, -0.02, -0.03, -0.02, -0.02, -0.02, 0.02, 0.02, 
## 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.02, 0, -0.02, 0, 
## 0, 0, 0.02, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, -0.02, -0.02, -0.02, 0, 0.03, 0.02, 0.02, 0.02, 0.02, 
## 0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 
## 0, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0.02, 0.02, 0, 0.02, -0.03, -0.05, -0.05, 
## -0.05, -0.03, -0.02, 0, 0, -0.02, -0.02, -0.03, -0.05, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, 
## -0.06, -0.05, -0.03, -0.03, -0.03, 0, -0.02, -0.02, -0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 
## 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 
## 0, -0.02, -0.02, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0, 0, -0.02, 
## 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0.02, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.05, -0.03, -0.03, 
## -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.03, -0.03, 
## -0.05, -0.05, -0.05, -0.06, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.02, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, 
## -0.05, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.05, -0.03, -0.05, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, -0.03, 0.02, -0.02, 
## -0.02, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.05, 
## -0.02, 0, -0.02, 0, -0.02, -0.02, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, 
## -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.02, 0, 0.03, 0, 0.02, 0.03, 0.02, 0.02, 0.02, 0, 0, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0, 0, 0.02, 0, 0, -0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0, 0.02, 0, 0.02, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 
## 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, 0, 0, 0, 0.03, 0.03, 0, 0, 0, 0, 0.02, 0, -0.02, 0, 0.02, 
## 0.02, 0.03, 0.02, 0.02, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 
## 0, 0, -0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, -0.02, 
## 0, 0.02, -0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 
## 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, -0.03, 0, 0, 0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0, -0.02, 
## 0, 0, -0.02, 0, 0, 0, 0.02, 0.03, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0.02, 0, 0.02, 0.02, 0.02, -0.02, 0, -0.02, -0.02, -0.02, 
## 0, 0.02, 0.02, 0, 0.02, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, -0.03, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, -0.02, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 
## 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, -0.02, 0, 0, 
## 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, -0.02, 
## 0, -0.02, 0, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 
## 0, 0, -0.02, -0.02, 0, -0.02, -0.02, 0.02, 0.02, 0, 0, 0, 0.02, 
## 0.02, 0, 0, -0.02, 0.02, 0.08, 0.06, 0.06, 0.02, 0.02, 0, -0.02, 
## 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, 0.02, 
## 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 
## 0, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0.02, 0, 0, 0, 0, 0, -0.02, 0.02, 0.03, -0.02, -0.02, 0.02, 
## 0, 0, 0.02, 0.03, 0.03, 0.03, 0, 0, 0.02, 0.02, 0, 0.02, -0.02, 
## 0, -0.02, 0, -0.02, -0.02, 0.02, 0, 0, 0, 0, 0, -0.02, -0.02, 
## -0.02, 0.05, 0.03, 0.03, 0.03, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 
## 0, -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, 0, -0.02, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, 0.02, 0, 0.02, -0.02, 0, 0.02, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, -0.02, 0, 0, 0, -0.02, 0, 0, -0.02, -0.02, 0.02, 0, 0, 0, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.02, -0.02, 0, -0.02, 0, 0, 0, 0, 
## 0.02, 0.02, 0.03, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, -0.02, 0, -0.02, 0, 0, 0.02, 0.03, 0, -0.02, -0.02, -0.02, 
## 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, -0.03, -0.02, 
## -0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0, 0, -0.02, 0, 
## -0.02, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, -0.02, -0.02, 
## 0, 0, 0.02, 0, 0.03, 0, 0.02, 0.03, 0, 0, 0, -0.02, 0, -0.02, 
## -0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0.03, 0.03, 0.03, 
## 0.03, 0.03, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.03, 0.03, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0, 0, 0.02, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 
## 0, 0, 0, 0.02, 0, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0, 0, -0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0.02, 0, 0, 0.02, 0.03, 0.02, 0, 0, -0.03, 
## 0.03, -0.02, 0, -0.02, -0.02, -0.05, -0.05, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0, -0.03, -0.02, 0, 0, 0, 0.02, 0.03, 0.02, -0.02, 
## 0.02, 0.02, 0, 0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, -0.02, 0.02, 0, 0, 0.02, 0, 0, 0, 0.02, 0, -0.02, 
## -0.02, 0, -0.03, 0, 0.02, 0, 0.02, 0.02, -0.02, 0.02, 0, 0, 0, 
## 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0.11, 0.13, 
## 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 
## 0.1, 0.08, 0.06, 0.08, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.13, 0.14, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.14, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 
## 0.13, 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.1, 0.11, 0.13, 0.13, 0.1, 0.08, 0.13, 0.11, 0.13, 0.11, 0.11, 
## 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.14, 0.14, 0.14, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.1, 0.1, 0.1, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.13, 0.1, 0.1, 0.08, 0.08, 0.1, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 
## 0.13, 0.13, 0.14, 0.14, 0.1, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.1, 0.11, 0.13, 0.1, 0.11, 0.1, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.13, 0.11, 0.1, 0.1, 0.1, 0.11, 
## 0.16, 0.14, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 0.13, 
## 0.14, 0.11, 0.1, 0.11, 0.13, 0.13, 0.13, 0.14, 0.14, 0.14, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 0.1, 0.1, 0.1, 0.13, 0.11, 
## 0.1, 0.11, 0.1, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.1, 0.08, 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.14, 0.14, 0.11, 0.13, 0.11, 0.1, 0.11, 0.11, 0.13, 0.11, 
## 0.1, 0.13, 0.1, 0.11, 0.13, 0.11, 0.11, 0.13, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.14, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.08, 0.06, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.11, 0.1, 0.11, 0.11, 0.11, -0.02, 0, 0.02, 0.02, 
## 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, -0.02, -0.02, 0, 0, -0.02, 
## -0.02, 0, 0, -0.02, -0.02, 0, 0.02, 0.02, 0, 0, 0, -0.02, -0.02, 
## 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.02, 0.02, 0.03, -0.02, -0.02, 
## -0.02, 0, 0, 0.02, 0, 0, 0, 0, 0.05, 0.05, 0.03, 0.02, 0.02, 
## 0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 0, 
## 0, 0, 0, -0.02, -0.02, -0.05, -0.03, -0.02, -0.05, -0.02, -0.03, 
## -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.02, 0, 0, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, -0.03, 
## -0.02, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.03, 
## 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, -0.02, 
## 0, 0.02, 0.02, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 
## 0, 0, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, -0.02, -0.02, -0.02, 
## -0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.03, 0.02, 0, 0, 0, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, -0.02, 0, 0, -0.02, 0, -0.02, 0, -0.02, 
## -0.02, -0.02, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 
## -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.05, -0.05, -0.05, -0.05, -0.06, -0.03, -0.03, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.03, -0.03, -0.02, 0, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.03, -0.03, -0.02, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, 
## -0.03, -0.03, -0.02, -0.02, 0, -0.02, -0.03, -0.03, -0.05, -0.05, 
## -0.05, -0.06, -0.06, -0.03, -0.03, -0.02, -0.03, -0.03, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, 
## -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.05, -0.05, -0.05, 0, -0.03, -0.03, -0.03, -0.03, 
## -0.05, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.03, -0.03, 
## -0.05, -0.03, -0.03, -0.03, 0, -0.03, 0, 0, -0.03, -0.03, -0.03, 
## -0.05, -0.05, -0.03, -0.03, -0.02, -0.02, 0.02, 0, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.13, 0.13, 0.14, 0.13, 0.11, 0.11, 0.16, 0.1, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.1, 0.1, 0.1, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.1, 0.08, 0.1, 0.14, 0.13, 0.14, 0.11, 0.1, 0.13, 
## 0.11, 0.1, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.11, 0.11, 0.13, 0.13, 
## 0.14, 0.13, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.13, 0.13, 0.14, 0.18, 0.11, 0.11, 0.13, 0.11, 0.11, 0.1, 0.06, 
## 0.13, 0.14, 0.14, 0.14, 0.13, 0.16, 0.13, 0.08, 0.05, 0.06, 0.1, 
## 0.1, 0.16, 0.13, 0.16, 0.13, -0.02, -0.02, -0.06, -0.1, -0.11, 
## 0.14, 0.19, 0.21, 0.19, 0.13, 0.03, 0.03, -0.06, -0.13, -0.13, 
## -0.14, -0.18, -0.18, -0.19, -0.24, -0.24, -0.24, -0.18, -0.18, 
## -0.13, -0.11, -0.02, 0.03, 0.06, 0.11, 0.11, 0.13, 0.14, 0.18, 
## 0.24, 0.37, 0.5, 0.51, 0.48, 0.1, 0.06, 0.06, 0.05, -0.05, -0.1, 
## -0.14, -0.16, -0.19, -0.19, -0.19, -0.18, -0.14, -0.14, -0.13, 
## -0.14, -0.22, -0.13, -0.11, 0.26, 0.21, 0.13, 0.02, 0, -0.1, 
## -0.19, -0.21, -0.24, -0.29, -0.31, -0.29, -0.24, -0.22, -0.16, 
## -0.13, -0.11, -0.08, -0.06, -0.06, -0.05, -0.05, 0.06, 0.11, 
## 0.11, 0.14, 0.22, 0.43, 0.45, 0.39, 0.5, 0.48, 0.47, 0.45, 0.31, 
## 0.24, 0.16, 0.08, -0.13, -0.21, -0.22, -0.24, -0.24, -0.24, -0.22, 
## -0.24, -0.24, -0.18, -0.16, -0.16, -0.16, -0.19, -0.21, -0.24, 
## -0.21, -0.13, -0.11, -0.02, 0.02, 0.11, 0.13, 0.21, 0.22, 0.32, 
## 0.37, 0.34, 0.37, 0.16, 0.11, -0.03, -0.06, -0.11, -0.13, -0.19, 
## -0.19, -0.22, -0.24, -0.26, -0.24, -0.21, -0.19, -0.16, -0.13, 
## -0.08, -0.05, 0.03, 0.11, 0.13, 0.18, 0.19, 0.26, 0.29, 0.32, 
## 0.26, 0.22, 0.18, 0, -0.11, -0.11, -0.18, -0.21, -0.21, -0.22, 
## -0.26, -0.24, -0.26, -0.24, -0.24, -0.16, -0.13, 0.06, 0.1, 0.13, 
## 0.21, 0.21, 0.21, 0.21, 0.19, 0.21, 0.22, 0.26, 0.27, 0.26, 0.1, 
## 0, -0.05, -0.08, -0.1, -0.14, -0.14, -0.14, -0.18, -0.18, -0.21, 
## -0.21, -0.22, -0.22, -0.19, -0.18, -0.19, -0.19, -0.19, -0.18, 
## -0.18, -0.16, -0.16, -0.13, -0.13, -0.13, 0.06, 0.08, 0.11, 0.16, 
## 0.18, 0.16, 0.18, 0.18, 0.26, 0.29, 0.31, 0.32, 0.32, 0.31, 0.32, 
## 0.26, 0.21, 0.18, 0.08, 0.02, -0.06, -0.11, -0.13, -0.16, -0.18, 
## -0.19, -0.22, -0.21, -0.21, -0.21, -0.22, -0.21, -0.16, -0.13, 
## -0.11, -0.08, -0.05, -0.02, 0, 0, -0.02, -0.03, 0.02, 0.03, 0, 
## 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.03, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0.03, 0.03, 0.02, 
## 0.02, 0, 0, 0, 0, 0, -0.02, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## -0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.03, 
## 0.03, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, 0, 0, 0.02, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.03, 0.02, 0.02, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## -0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 
## 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, -0.02, 0, 0, 
## 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 0, 
## 0, 0.02, 0, 0.02, 0.03, 0.03, 0.03, 0.03, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.03, 0.03, -0.02, 0, 0, 0, 0, 0, 
## 0, -0.02, -0.02, 0, 0, -0.02, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 
## 0, 0.02, 0.02, 0.03, 0.02, 0, 0, 0, 0, -0.02, 0, 0.02, 0.03, 
## 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 
## -0.02, 0.03, 0.02, 0.02, 0.02, 0, 0, 0.02, 0, 0.02, 0, 0.02, 
## -0.02, -0.02, -0.02, 0, 0.02, 0, 0, 0, 0, 0.02, 0, -0.02, 0, 
## 0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, 0, 0.02, 0, 0.03, 0.02, 
## 0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, 0.02, 0.02, 0, 0, 0, 0, 
## 0, -0.02, 0.02, 0.03, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 
## 0, 0, 0, -0.02, -0.03, -0.05, -0.06, -0.02, -0.03, -0.03, 0, 
## 0, -0.03, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0, 
## 0, 0.02, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.03, -0.03, -0.02, 0, 0.02, 0.02, 
## 0.03, 0.05, 0.06, 0.08, 0.1, 0.1, 0.1, -0.06, -0.06, -0.06, -0.06, 
## -0.05, -0.03, 0.1, -0.05, -0.08, -0.06, 0, 0.02, 0.02, 0.02, 
## -0.02, 0.02, 0, 0.02, 0, 0, 0, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.18, 0.18, 0.1, 0, -0.02, -0.02, 0, 
## 0.08, 0.13, 0.18, 0.22, 0.26, 0.29, 0.27, 0.08, 0.11, 0.16, -0.06, 
## -0.05, -0.03, -0.02, 0.02, 0.02, 0.03, 0.05, 0.06, 0.13, 0.13, 
## 0.18, 0.16, 0.19, 0.21, 0.22, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.14, 0.13, 0.13, 
## 0.11, 0.13, 0.14, 0.14, 0.08, 0.06, 0.22, 0.11, 0.05, 0.1, 0.16, 
## 0.14, 0.08, 0.1, 0.1, 0.1, 0.08, 0.08, 0.08, 0.08, 0.1, 0.13, 
## 0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 0.1, 0.1, 0.1, 0.1, 0.13, 
## 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 0.14, 0.14, 0.11, 0.1, 
## 0.1, 0.11, 0.13, 0.08, 0.08, 0.1, 0.1, 0.1, 0.13, 0.11, 0.13, 
## 0.13, 0.1, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.08, 0.08, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.1, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.1, 0.1, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.08, 0.1, 0.1, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.1, 0.1, 0.08, 0.08, 0.1, 0.08, 0.11, 
## 0.11, 0.13, 0.14, 0.14, 0.14, 0.13, 0, -0.02, 0.02, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0, 
## -0.02, 0, -0.02, 0, 0, 0, 0.02, 0, -0.02, -0.02, 0, 0, 0, 0, 
## -0.02, 0, 0, 0.02, 0, 0, 0, 0.02, 0.03, 0.02, 0.02, 0, 0.02, 
## 0, -0.02, 0, 0, -0.22, -0.19, -0.18, -0.19, -0.05, -0.03, 0.06, 
## 0.06, 0.06, 0.26, 0.35, 0.35, 0.08, -0.05, -0.06, -0.08, -0.14, 
## -0.16, -0.19, -0.22, -0.22, -0.22, -0.22, -0.24, -0.26, -0.26, 
## -0.24, -0.21, -0.18, -0.11, -0.08, -0.1, -0.11, -0.08, -0.05, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.19, 0.21, 0.22, 0.22, 0.29, 
## 0.31, -0.06, -0.06, -0.1, -0.13, -0.14, -0.16, -0.16, -0.18, 
## -0.19, -0.22, -0.22, -0.22, -0.22, -0.21, -0.19, -0.13, -0.03, 
## 0.03, 0.06, 0.11, 0.16, 0.18, 0.24, 0.32, 0.31, 0.22, 0.19, 0.18, 
## 0.16, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, -0.03, -0.03, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, -0.02, 
## -0.05, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 0.03, 0.02, -0.02, 
## -0.02, -0.03, -0.02, -0.02, -0.03, 0, -0.02, -0.02, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 
## 0.02, 0.03, 0, -0.06, -0.08, -0.13, -0.16, -0.14, -0.31, -0.32, 
## -0.24, -0.37, -0.35, -0.4, -0.45, -0.22, -0.13, -0.1, -0.03, 
## 0, 0, 0.03, -0.02, -0.03, -0.03, -0.03, 0, 0.02, 0, 0, 0.02, 
## 0.03, 0.03, 0.11, 0.11, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.16, 
## 0.14, 0.16, 0.21, 0.21, 0.22, 0.21, 0.13, 0.21, 0.06, 0.14, 0.08, 
## 0.11, 0.11, 0.11, 0.08, 0.06, 0.08, 0.1, 0.1, 0.1, 0.05, 0.13, 
## 0.11, 0.06, 0.06, 0.06, 0.13, 0.14, 0.13, 0.13, 0.13, 0.14, 0.16, 
## 0.11, 0.13, 0.11, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.13, 0.13, -0.08, -0.08, -0.02, -0.02, -0.02, -0.02, 0.22, 0.27, 
## 0.14, 0, 0, 0.06, 0.39, 0.39, 0.42, 0.42, 0.35, 0.19, 0.13, 0.16, 
## 0.16, 0.06, -0.02, -0.08, -0.11, -0.19, 0.14, 0.31, -0.08, -0.11, 
## -0.13, 0, 0.02, 0.05, 0.27, 0.14, 0.11, 0.1, 0.1, 0.1, 0.08, 
## 0.08, 0.1, 0.1, 0.08, 0.03, -0.05, -0.06, -0.08, -0.06, -0.06, 
## 0.02, 0.05, 0.03, 0.02, 0.05, 0.03, 0, 0, 0, -0.03, -0.02, -0.03, 
## -0.03, -0.02, -0.02, 0.06, 0.05, 0.05, 0.02, 0.02, 0.02, 0, 0, 
## 0.02, 0.03, 0.1, 0.08, 0.08, 0.05, 0.02, 0, 0, 0, -0.02, -0.03, 
## -0.02, 0.03, 0.05, 0.06, 0.03, 0.03, -0.02, -0.03, -0.05, -0.08, 
## -0.03, -0.03, -0.02, -0.03, -0.02, 0.03, 0.02, 0.03, 0.03, 0.03, 
## 0.03, 0, 0.02, 0.05, 0.05, 0.06, 0.06, 0.06, 0.06, 0.02, 0.02, 
## -0.03, -0.05, -0.03, -0.02, -0.02, 0, -0.02, -0.03, -0.03, -0.05, 
## -0.03, -0.03, -0.06, -0.06, -0.05, -0.05, -0.02, -0.02, 0, 0.03, 
## -0.05, -0.03, -0.05, -0.03, -0.05, -0.02, -0.02, 0.02, 0.06, 
## 0.05, -0.02, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.02, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.02, -0.02, -0.03, 
## -0.03, -0.06, -0.05, 0.02, 0.02, -0.02, 0, 0.02, 0.02, 0.03, 
## 0.05, 0.06, 0.08, 0.08, 0.06, 0.05, 0.03, 0.02, 0.02, 0, 0, 0, 
## 0, 0.02, 0.03, -0.02, 0.03, 0.05, 0.06, 0.05, 0.05, 0.05, 0.05, 
## 0.05, 0.06, 0.05, 0.02, 0.02, 0.03, -0.02, -0.05, -0.03, -0.05, 
## -0.05, -0.08, -0.06, -0.05, 0.03, 0.03, 0.03, 0.1, 0.1, 0.1, 
## 0.1, -0.03, -0.02, -0.03, -0.03, -0.02, 0.02, 0.02, 0, -0.03, 
## -0.03, -0.02, -0.08, -0.1, -0.06, -0.05, -0.03, 0.02, 0.02, 0.03, 
## 0.05, 0.06, 0.06, 0.05, 0.05, 0.03, 0.03, 0.06, 0.06, 0.08, 0.06, 
## 0.06, 0.06, 0.06, -0.03, -0.06, -0.05, -0.03, -0.03, -0.03, -0.06, 
## -0.05, -0.06, -0.06, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 
## 0, -0.02, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0.02, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, -0.05, -0.05, -0.1, 
## -0.13, -0.05, -0.06, -0.05, -0.03, -0.02, 0.02, 0.03, 0, -0.14, 
## -0.13, -0.03, 0.08, 0.02, 0.05, 0.06, 0.05, 0.03, 0.02, 0.02, 
## 0, -0.02, -0.05, -0.02, 0.03, 0.05, 0.05, 0.06, 0.06, -0.02, 
## -0.03, -0.1, -0.13, -0.13, -0.08, -0.08, -0.1, -0.08, -0.06, 
## -0.02, -0.02, -0.02, -0.02, 0, -0.03, -0.05, -0.03, -0.02, 0, 
## 0, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, 0, 0.05, 0.06, 0.06, 
## -0.05, -0.05, -0.1, -0.06, 0.02, -0.03, -0.06, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 0.14, 
## 0.14, 0.18, 0.19, 0.21, 0.19, 0.13, 0.08, 0.08, 0.1, 0.16, 0.19, 
## 0.16, 0.13, 0.11, 0.1, 0.1, 0.08, 0.08, 0.08, 0.1, 0.13, 0.16, 
## 0.16, 0.11, 0.14, 0.11, 0.13, 0.16, 0.18, 0.22, 0.19, 0.16, 0.14, 
## 0.05, 0.06, 0.06, 0.08, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 0.02, 
## 0.1, 0.1, 0.06, 0.06, 0.06, 0.05, 0.05, 0.05, 0.1, 0.08, 0.16, 
## 0.14, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.1, 
## 0.06, 0.11, 0.11, 0.13, 0.11, 0.11, 0.18, 0.16, 0.13, 0.1, 0.14, 
## 0.14, 0.14, 0.13, 0.14, 0.08, 0.08, 0.1, 0.1, 0.1, 0.13, 0.11, 
## 0.08, 0.1, 0.06, 0.08, 0.11, 0.11, 0.13, 0.13, 0.13, 0.14, 0.13, 
## 0.16, 0.16, 0.16, 0.11, 0.1, 0.1, 0.05, 0.03, 0.06, 0.08, 0.1, 
## 0.13, 0.13, 0.11, 0.11, 0.1, 0.1, 0.11, 0.22, 0.19, 0.19, 0.18, 
## 0.16, 0.16, 0.16, -0.03, -0.03, -0.11, -0.1, -0.02, 0, 0.05, 
## 0.05, 0.05, 0.06, 0.05, 0.03, 0.06, 0.13, 0.1, 0.11, 0.1, 0.11, 
## 0.08, 0.13, 0.1, 0.16, 0.19, 0.18, 0.18, 0.18, 0.19, 0.14, 0.13, 
## -0.02, 0.03, 0.11, 0.05, 0.05, 0.02, 0, 0.02, 0, -0.02, 0.03, 
## 0.06, 0.05, 0.06, 0.08, 0.11, 0.16, 0.21, 0.16, 0.11, 0.1, 0.11, 
## 0.14, 0.21, 0.21, 0.16, 0.14, 0.18, 0.14, 0.16, 0.05, 0.08, 0.06, 
## 0.08, 0.11, 0.13, 0.11, 0.06, 0.03, 0.1, 0.1, 0.08, 0.13, 0.14, 
## 0.1, 0.1, 0.1, 0.11, 0.1, 0.02, 0.08, 0.14, 0.13, 0.14, 0.16, 
## 0.16, 0.13, 0.06, 0.08, 0.08, 0.08, 0.13, 0.1, 0.08, 0.22, 0.26, 
## 0.22, 0.08, 0.11, 0.14, 0.14, 0.11, 0.06, 0.05, 0.05, 0.1, 0.16, 
## 0.13, 0, 0.02, 0.03, 0.03, 0.1, 0.08, 0.08, 0.06, 0.11, 0.13, 
## 0.1, 0.03, 0.1, 0.1, 0.1, 0.11, 0.16, 0.22, 0.24, 0.18, 0.14, 
## 0.13, 0.13, 0.13, 0.16, 0.18, 0.18, 0.19, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.02, 0.05, 0.11, 0.13, 0.13, 0.14, 0.1, 0.11, 0.11, 0.13, 
## 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 0.13, 0.11, 0.11, 
## 0.06, 0.24, 0.19, 0.14, 0.18, 0.19, 0.19, 0.14, 0.16, 0.18, 0.16, 
## 0.11, 0.08, 0.05, 0.13, 0.11, 0.1, 0.11, 0.11, 0.11, 0.03, 0.02, 
## 0.1, 0.11, 0.14, 0.16, 0.22, 0.22, 0.21, 0.1, 0.11, 0.1, 0.13, 
## 0.14, 0.14, 0.14, 0.14, 0.13, 0.11, 0.06, 0.06, 0.03, 0.14, 0.14, 
## 0.11, 0.13, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.06, 0.08, 0.03, 0.05, 
## 0.02, 0.03, 0.03, 0.05, 0.08, 0.08, 0.08, 0.08, 0.11, 0.16, 0.18, 
## 0.18, 0.14, 0.13, 0.14, 0.16, 0.14, 0.11, 0.19, 0.18, 0.16, 0.16, 
## 0.16, 0.16, 0.18, 0.18, 0.18, 0.19, 0.21, 0.21, 0.14, 0, -0.05, 
## -0.06, -0.08, -0.06, -0.05, -0.02, -0.03, -0.03, -0.02, -0.03, 
## -0.02, 0.21, 0.18, 0.14, 0.13, 0.13, 0.11, 0.13, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.08, 0.08, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 0.1, 
## 0.11, 0.03, 0.03, 0.02, 0.03, 0.02, 0, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, -0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, -0.02, 
## 0.02, 0, 0.02, 0.03, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 
## -0.03, -0.03, -0.05, -0.03, 0, 0, 0, 0.02, -0.02, 0, 0, 0, 0, 
## 0.02, 0, 0, 0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.03, 
## 0, 0, 0.02, 0, 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 
## 0.03, 0, 0.02, 0, 0, 0, 0, 0, -0.02, -0.03, 0, 0.03, 0.02, 0.02, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 0.03, 0.03, 0, 0, 0, 0.02, 
## 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, 
## 0, 0, 0.02, 0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.03, 
## -0.03, -0.03, 0.02, 0.02, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, -0.03, -0.03, -0.05, 
## -0.03, -0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 
## 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, -0.32, -0.24, -0.45, -0.1, 0.1, 0.16, -0.22, -0.16, 
## -0.06, 0.02, 0.18, 0.27, 0.21, 0, 0, 0.02, 0.02, 0.02, -0.02, 
## 0.02, 0.02, -0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## -0.02, -0.03, 0.05, 0.06, 0.06, 0.06, 0.03, 0.29, 0.32, 0.26, 
## 0.18, 0, -0.24, -0.29, -0.39, -0.32, -0.34, -0.31, -0.11, 0, 
## -0.03, -0.05, 0.18, 0.21, 0.21, 0.24, 0.16, 0.11, 0.24, 0.47, 
## 0.14, 0.16, 0.05, 0, -0.05, -0.19, -0.26, -0.26, -0.27, -0.24, 
## -0.13, 0, 0, -0.02, 0.05, 0.11, 0.13, 0.26, 0.51, 0.43, 0.37, 
## 0.03, 0.02, -0.13, -0.19, -0.37, -0.42, -0.48, -0.42, -0.26, 
## -0.24, -0.19, -0.16, -0.02, 0, 0.02, 0.03, 0.06, 0.06, 0.11, 
## 0.13, 0.14, 0.14, 0.18, 0.29, 0.47, 0.47, 0.42, 0.19, 0.21, 0.11, 
## 0.02, -0.29, -0.34, -0.42, -0.34, -0.31, -0.19, -0.05, 0, 0.1, 
## 0.03, 0.02, 0.1, 0.14, 0.24, 0.29, 0.19, 0.11, 0.02, -0.14, -0.16, 
## -0.21, -0.31, -0.53, -0.51, -0.27, -0.27, -0.05, 0.02, 0, 0.05, 
## 0.02, 0.02, 0.02, 0.08, 0.42, 0.51, 0.61, 0.63, 0.48, 0.34, 0.27, 
## 0.24, 0.21, 0.11, 0.08, 0, -0.03, -0.08, -0.11, -0.16, -0.29, 
## -0.45, -0.32, -0.31, -0.32, -0.18, -0.03, 0, 0.02, 0.03, 0.45, 
## 0.45, 0.37, 0.16, 0.24, -0.03, -0.05, -0.11, -0.32, -0.34, -0.27, 
## -0.21, -0.18, -0.18, -0.03, 0.02, 0.02, 0.06, -0.06, -0.05, 0.03, 
## 0.05, 0.08, 0.11, 0.18, 0.19, 0.19, 0.21, 0.29, 0.26, 0.21, 0.13, 
## 0.14, 0, -0.08, -0.16, -0.22, -0.31, -0.26, -0.26, -0.21, -0.1, 
## -0.06, -0.06, 0.02, 0.02, -0.16, -0.1, -0.1, 0, 0.02, 0.02, 0.03, 
## 0, 0, -0.05, 0, -0.02, 0, 0, 0, 0, -0.02, 0, 0.02, 0.02, 0, -0.02, 
## -0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0.02, 0, 0.02, 0, 0, -0.02, 
## -0.02, 0, 0.18, 0.18, 0.19, 0.19, 0.19, 0.19, 0.14, 0.14, 0.11, 
## 0.16, 0.13, 0.13, 0.11, 0.08, 0.08, 0.14, 0.11, 0.1, 0.08, 0.14, 
## 0.14, 0.14, 0.13, 0.08, 0.08, 0.03, 0.03, 0.02, 0.03, 0.02, -0.03, 
## -0.03, -0.05, -0.02, 0.03, 0.05, 0.05, 0.06, 0.08, 0.13, 0.14, 
## 0.18, 0.18, 0.18, 0.18, 0.19, 0.18, 0.21, 0.16, 0.14, 0.14, 0.24, 
## 0.14, 0.18, 0.18, 0.16, 0.13, 0.11, 0.08, 0.1, 0.11, 0.1, 0.1, 
## 0.11, 0.08, 0.08, 0.1, 0.11, 0.1, 0.08, 0.08, 0.03, 0, 0.02, 
## 0.03, 0.05, 0.06, 0.06, 0.08, 0.14, 0.16, 0.14, 0.11, 0.14, 0.19, 
## 0.27, 0.21, 0.19, 0.1, 0.11, 0.11, 0.11, 0.1, 0.13, 0.13, 0.11, 
## 0.11, 0.1, 0.08, 0.03, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.03, 0.06, 
## 0.06, 0.08, 0.1, 0.11, 0.11, 0.13, 0.16, 0.18, 0.19, 0.19, 0.18, 
## 0.18, 0.08, 0.19, 0.16, 0.13, 0.13, 0.18, 0.21, 0.13, 0.13, 0.11, 
## 0.1, 0.11, 0.16, 0.13, 0.13, 0.1, 0.1, 0.11, 0.13, 0.11, 0.11, 
## 0.08, 0.06, 0.02, 0.03, 0.05, 0.05, 0.19, 0.18, 0.13, 0.11, 0.13, 
## 0.06, 0.1, 0.08, 0.06, 0.06, 0.1, 0.08, 0.06, 0.05, 0.03, 0.03, 
## 0.03, 0.03, 0.06, 0.11, 0.14, 0.19, 0.16, 0.14, 0.14, 0.24, 0.31, 
## 0.24, 0.13, 0.14, 0.14, 0.13, 0.18, 0.19, 0.11, 0.16, 0.14, 0.13, 
## 0.06, 0.11, 0.13, 0.1, 0.1, 0.1, 0.06, 0.05, 0.06, 0.05, 0.03, 
## 0.03, 0.16, 0.14, 0.11, 0.11, 0.13, 0.19, 0.14, 0.18, 0.1, 0.13, 
## 0.14, 0.14, 0.11, 0.11, 0.1, 0.11, 0.08, 0.1, 0.1, 0.11, 0.1, 
## 0.1, 0.05, 0.06, 0.06, 0.03, 0.02, 0.03, 0.06, 0.06, 0.1, 0.1, 
## 0.11, 0.13, 0.1, 0.1, 0.18, 0.16, 0.16, 0.13, 0.13, 0.19, 0.1, 
## 0.08, 0.13, 0.18, 0.14, 0.06, 0.1, 0.11, 0.11, 0.1, 0.14, 0.14, 
## 0.11, 0.11, 0.11, 0.1, 0.08, 0.08, 0.08, 0.06, 0.05, 0.14, 0.14, 
## 0.16, 0.18, 0.26, 0.18, 0.13, 0.11, 0.03, 0.02, 0.02, 0.03, 0.03, 
## 0.05, 0.05, 0.06, 0.1, 0.13, 0.13, 0.03, 0.03, 0.02, 0.03, 0.03, 
## 0.05, 0.08, 0.11, 0.11, 0.18, 0.18, 0.16, 0.16, 0.18, 0.16, 0.16, 
## 0.08, 0.08, 0.1, 0.1, 0.1, 0.16, 0.19, 0.19, 0.18, 0.19, 0.21, 
## 0.11, 0.14, -0.06, -0.11, -0.05, 0.05, 0.02, 0, 0, -0.03, -0.03, 
## -0.05, -0.06, -0.05, 0.06, 0.03, 0.02, 0, -0.13, -0.03, 0, 0, 
## 0, 0.05, 0.05, 0.05, -0.05, -0.08, -0.1, -0.13, -0.14, -0.16, 
## -0.16, -0.05, -0.03, 0.02, 0.02, -0.06, -0.08, -0.11, 0, 0, 0.02, 
## 0.02, -0.02, -0.02, -0.02, -0.06, -0.08, 0, 0, -0.02, 0.02, 0.02, 
## -0.02, -0.03, -0.1, -0.11, -0.14, -0.14, -0.14, -0.08, -0.06, 
## 0, -0.02, 0.02, 0.02, 0, -0.06, 0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.02, 0.02, 0.02, 0.05, -0.08, -0.08, -0.08, -0.05, 0, 0.02, 
## 0, 0.11, 0.13, 0.18, 0.06, 0.05, 0, -0.06, -0.05, -0.06, -0.06, 
## -0.05, -0.05, -0.05, -0.03, -0.02, 0.03, 0.05, 0.05, 0.05, 0.06, 
## 0.08, 0.08, 0.08, 0.11, 0.05, 0, -0.02, -0.05, -0.14, -0.16, 
## -0.11, -0.08, -0.06, -0.11, -0.18, -0.06, 0.02, 0.02, 0, -0.05, 
## -0.05, -0.02, -0.05, -0.05, -0.03, -0.02, 0, 0, -0.02, -0.03, 
## -0.05, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.05, -0.05, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 
## 0, 0, 0, 0.02, 0, 0.02, 0, 0.03, 0, 0, 0.02, 0, 0, 0.02, 0.19, 
## 0.19, 0.18, 0.18, 0.18, 0.13, 0.11, 0.11, 0.1, 0.1, 0.1, 0.08, 
## 0.05, 0.03, 0.03, 0.03, 0.03, 0, 0, -0.02, -0.02, -0.02, 0, 0, 
## 0, -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, 0, 0.06, 0.08, 0.11, 0.19, 
## 0.24, 0.31, 0.26, 0.16, 0.13, 0.1, 0.05, 0, -0.05, -0.14, 0.1, 
## 0.14, 0.31, 0.34, 0.21, 0.1, 0.05, 0.11, 0.11, 0.06, 0.03, -0.02, 
## -0.05, -0.22, -0.27, -0.24, -0.21, -0.14, -0.14, -0.02, -0.02, 
## 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0, 0.02, 0.02, 0.02, 0.05, 0.05, 0.13, 0.06, 0.06, 0.1, 0.14, 
## 0.22, 0.22, 0, 0, 0, 0.02, -0.03, -0.05, -0.05, -0.03, -0.03, 
## 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0.02, 0, 0, 0.02, 
## 0.02, 0.03, 0.02, 0, 0.02, 0, 0.02, -0.08, -0.1, -0.13, -0.1, 
## -0.03, -0.02, 0, 0, 0, 0, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.03, -0.13, -0.19, -0.21, -0.21, -0.14, 
## -0.14, -0.08, -0.03, -0.06, 0.03, 0.03, 0.03, 0.02, -0.02, 0.06, 
## 0.02, -0.02, -0.05, -0.11, -0.08, -0.1, -0.13, -0.06, 0, -0.02, 
## 0.02, 0, -0.02, -0.03, -0.1, -0.16, -0.16, -0.16, -0.05, -0.06, 
## 0.06, 0.1, 0.1, 0.05, 0.03, 0.02, -0.05, -0.03, -0.06, -0.08, 
## -0.05, -0.03, -0.03, 0.03, 0.06, 0.08, 0.02, 0, -0.06, -0.03, 
## 0.1, 0.06, 0.03, 0.06, 0.05, 0.05, 0, -0.06, -0.06, -0.05, -0.05, 
## -0.03, -0.03, -0.11, -0.05, -0.05, 0.02, 0.02, 0.02, 0.02, 0.03, 
## 0.08, 0.06, 0.03, 0.03, 0.05, 0.06, -0.02, -0.03, -0.03, -0.02, 
## -0.05, -0.05, -0.02, -0.02, -0.03, -0.02, -0.03, -0.05, -0.05, 
## -0.05, -0.02, 0.03, 0.02, 0, 0, 0, 0.02, 0.03, 0.03, 0.02, 0.03, 
## 0.06, 0.05, 0.05, 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0, -0.02, 
## -0.03, 0.13, 0.42, 0.06, -0.05, 0.03, 0.11, 0.13, 0.06, 0.06, 
## 0.05, 0.05, 0.05, 0.02, 0, -0.02, -0.02, -0.02, -0.02), gyros_belt_z = c(-0.02, 
## -0.03, -0.02, 0, -0.02, -0.02, 0, -0.02, 0, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, -0.02, -0.02, -0.03, -0.03, -0.02, -0.03, -0.02, 
## -0.02, -0.03, -0.03, -0.03, 0, 0, -0.02, -0.02, -0.03, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, 
## -0.03, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, -0.02, -0.02, 
## -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.03, -0.03, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.02, 0, 0.02, 0, -0.03, -0.05, -0.05, -0.02, 
## -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, -0.03, 
## -0.02, -0.03, 0, 0, -0.43, -0.46, -0.48, -0.46, -0.48, -0.48, 
## -0.46, -0.44, -0.46, -0.46, -0.44, -0.44, -0.44, -0.44, -0.46, 
## -0.44, -0.46, -0.44, -0.44, -0.46, -0.43, -0.44, -0.46, -0.44, 
## -0.43, -0.44, -0.44, -0.46, -0.44, -0.46, -0.46, -0.44, -0.44, 
## -0.44, -0.46, -0.44, -0.44, -0.43, -0.46, -0.44, -0.46, -0.46, 
## -0.44, -0.46, -0.44, -0.44, -0.44, -0.48, -0.46, -0.48, -0.48, 
## -0.46, -0.48, -0.48, -0.49, -0.51, -0.52, -0.49, -0.41, -0.41, 
## -0.41, -0.43, -0.43, -0.44, -0.46, -0.44, -0.44, -0.46, -0.46, 
## -0.48, -0.48, -0.48, -0.48, -0.46, -0.49, -0.49, -0.49, -0.46, 
## -0.41, -0.41, -0.41, -0.46, -0.46, -0.48, -0.49, -0.48, -0.51, 
## -0.52, -0.51, -0.51, -0.51, -0.48, -0.44, -0.43, -0.41, -0.41, 
## -0.44, -0.43, -0.46, -0.43, -0.44, -0.43, -0.44, -0.46, -0.49, 
## -0.48, -0.48, -0.46, -0.46, -0.44, -0.46, -0.43, -0.43, -0.41, 
## -0.43, -0.43, -0.44, -0.44, -0.44, -0.44, -0.44, -0.46, -0.44, 
## -0.44, -0.46, -0.46, -0.48, -0.48, -0.49, -0.43, -0.44, -0.43, 
## -0.43, -0.43, -0.43, -0.44, -0.44, -0.44, -0.46, -0.44, -0.49, 
## -0.51, -0.51, -0.51, -0.49, -0.39, -0.46, -0.44, -0.44, -0.44, 
## -0.44, -0.43, -0.44, -0.48, -0.46, -0.49, -0.48, -0.46, -0.48, 
## -0.48, -0.48, -0.46, -0.44, -0.46, -0.48, -0.43, -0.44, -0.44, 
## -0.43, -0.43, -0.44, -0.43, -0.43, -0.43, -0.43, -0.51, -0.51, 
## -0.43, -0.39, -0.39, -0.41, -0.41, -0.41, -0.44, -0.44, -0.48, 
## -0.46, -0.43, -0.43, -0.43, -0.44, -0.46, -0.48, -0.44, -0.46, 
## -0.46, -0.44, -0.46, -0.44, -0.41, -0.39, -0.41, -0.43, -0.41, 
## -0.43, -0.44, -0.43, -0.44, -0.46, -0.49, -0.49, -0.49, -0.49, 
## -0.49, -0.46, -0.46, -0.44, -0.46, -0.46, -0.46, -0.46, -0.44, 
## -0.44, -0.43, -0.46, -0.46, -0.46, -0.46, -0.46, -0.46, -0.48, 
## -0.49, -0.49, -0.49, -0.49, -0.48, -0.43, -0.43, -0.41, -0.43, 
## -0.41, -0.43, -0.48, -0.48, -0.46, -0.48, -0.49, -0.46, -0.46, 
## -0.44, -0.48, -0.44, -0.44, -0.46, -0.43, -0.41, -0.43, -0.41, 
## -0.44, -0.41, -0.43, -0.44, -0.44, -0.43, -0.46, -0.49, -0.48, 
## -0.48, -0.46, -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, 
## -0.43, -0.43, -0.43, -0.43, -0.41, -0.41, -0.43, -0.43, -0.44, 
## -0.49, -0.46, -0.46, -0.48, -0.48, -0.48, -0.43, -0.43, -0.43, 
## -0.43, -0.44, -0.44, -0.43, -0.39, -0.39, -0.39, -0.41, -0.43, 
## -0.46, -0.44, -0.43, -0.44, -0.43, -0.44, -0.43, -0.43, -0.46, 
## -0.46, -0.44, -0.46, -0.46, -0.18, -0.11, -0.08, -0.08, -0.08, 
## -0.08, -0.15, -0.16, -0.16, -0.08, -0.16, -0.2, -0.08, -0.05, 
## -0.11, -0.11, -0.11, -0.11, -0.11, -0.13, -0.13, -0.13, -0.15, 
## -0.16, -0.18, -0.18, -0.2, -0.21, -0.2, -0.23, -0.23, -0.21, 
## -0.2, -0.2, -0.2, -0.2, -0.2, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.15, -0.2, -0.21, -0.2, -0.21, -0.21, -0.2, -0.2, -0.18, -0.18, 
## -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.2, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.2, -0.2, -0.18, 
## -0.18, -0.16, -0.18, -0.18, -0.18, -0.16, -0.16, -0.15, -0.16, 
## -0.2, -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, -0.16, -0.18, 
## -0.16, -0.16, -0.2, -0.16, -0.16, -0.15, -0.13, -0.15, -0.2, 
## -0.15, -0.15, -0.15, -0.2, -0.21, -0.2, -0.25, -0.21, -0.25, 
## -0.21, -0.13, -0.13, -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.02, -0.21, -0.23, -0.3, -0.3, -0.28, 
## -0.31, -0.26, -0.21, -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.15, -0.13, -0.15, -0.13, -0.11, -0.16, -0.18, -0.25, 
## -0.23, -0.15, -0.16, -0.16, -0.18, -0.18, -0.21, -0.21, -0.25, 
## -0.25, -0.23, -0.16, -0.15, -0.13, -0.15, -0.15, -0.16, -0.15, 
## -0.15, -0.11, -0.1, -0.11, -0.08, -0.13, -0.13, -0.15, -0.15, 
## -0.11, -0.1, -0.08, -0.13, -0.15, -0.18, -0.18, -0.21, -0.23, 
## -0.21, -0.26, -0.23, -0.23, -0.25, -0.26, -0.25, -0.25, -0.23, 
## -0.2, -0.2, -0.16, -0.08, -0.05, -0.03, -0.15, -0.21, -0.25, 
## -0.25, -0.26, -0.3, -0.38, -0.43, -0.43, -0.39, -0.39, -0.34, 
## -0.26, -0.28, -0.16, -0.15, -0.13, -0.13, -0.13, -0.16, -0.15, 
## -0.15, -0.15, -0.13, -0.11, -0.1, -0.11, -0.15, -0.16, -0.2, 
## -0.21, -0.21, -0.21, -0.13, -0.13, -0.15, -0.15, -0.16, -0.16, 
## -0.18, -0.18, -0.16, -0.18, -0.16, -0.18, -0.18, -0.16, -0.18, 
## -0.18, -0.16, -0.15, -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, 
## -0.15, -0.15, -0.15, -0.13, -0.18, -0.2, -0.2, -0.21, -0.2, -0.2, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.2, 
## -0.18, -0.18, -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, -0.15, 
## -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.13, -0.13, -0.13, -0.15, -0.16, -0.18, 
## -0.2, -0.2, -0.18, -0.2, -0.2, -0.2, -0.21, -0.2, -0.2, -0.18, 
## -0.15, -0.18, -0.16, -0.15, -0.16, -0.15, -0.15, -0.15, -0.15, 
## -0.15, -0.16, -0.15, -0.15, -0.15, -0.13, -0.13, -0.15, -0.16, 
## -0.2, -0.2, -0.2, -0.2, -0.21, -0.2, -0.16, -0.16, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.15, -0.15, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.15, -0.13, -0.11, -0.11, -0.16, -0.16, -0.18, -0.2, -0.18, 
## -0.2, -0.2, -0.2, -0.18, -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, 
## -0.15, -0.16, -0.16, -0.16, -0.16, -0.15, -0.11, -0.16, -0.16, 
## -0.16, -0.16, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.15, -0.15, 
## -0.15, -0.13, -0.13, -0.15, -0.18, -0.18, -0.18, -0.18, -0.16, 
## -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, 
## -0.16, -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.16, -0.18, 
## -0.16, -0.18, -0.16, -0.16, -0.18, -0.16, -0.18, -0.16, -0.16, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, 
## -0.15, -0.18, -0.18, -0.2, -0.2, -0.16, -0.15, -0.16, -0.18, 
## -0.18, -0.2, -0.2, -0.2, -0.16, -0.18, -0.15, -0.18, -0.16, -0.18, 
## -0.16, -0.15, -0.15, -0.16, -0.15, -0.15, -0.15, -0.15, -0.16, 
## -0.2, -0.21, -0.21, -0.2, -0.18, -0.18, -0.21, -0.18, -0.16, 
## -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.16, -0.15, -0.15, 
## -0.15, -0.13, -0.16, -0.13, -0.15, -0.15, -0.16, -0.18, -0.2, 
## -0.2, -0.18, -0.2, -0.2, -0.2, -0.23, -0.21, -0.2, -0.18, -0.18, 
## -0.16, -0.18, -0.16, -0.15, -0.15, -0.15, -0.02, -0.07, -0.03, 
## -0.02, -0.02, 0.02, 0.03, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, -0.02, -0.02, -0.03, -0.07, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 
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## -0.18, -0.16, -0.18, -0.18, -0.2, -0.15, -0.23, -0.18, -0.16, 
## -0.05, -0.1, -0.15, -0.18, -0.18, -0.2, -0.2, -0.23, -0.21, -0.11, 
## -0.1, -0.08, -0.1, -0.11, -0.15, -0.11, -0.15, -0.18, -0.3, -0.28, 
## -0.26, -0.21, -0.21, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.21, -0.21, -0.18, -0.13, -0.1, -0.08, -0.11, -0.11, -0.2, 
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## -0.11, -0.13, -0.13, -0.13, -0.15, -0.15, -0.16, -0.16, -0.15, 
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## -0.11, -0.13, -0.13, -0.13, -0.1, -0.13, -0.16, -0.18, -0.18, 
## -0.23, -0.23, -0.16, -0.21, -0.18, -0.18, -0.13, -0.16, -0.21, 
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## -0.23, -0.23, -0.18, -0.2, -0.21, -0.18, -0.18, -0.18, -0.18, 
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## -0.15, -0.13, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.18, -0.16, -0.15, -0.13, -0.13, -0.16, -0.18, 
## -0.16, -0.18, -0.18, -0.21, -0.18, -0.16, -0.18, -0.15, -0.15, 
## -0.13, -0.13, -0.15, -0.16, -0.18, -0.18, -0.16, -0.16, -0.13, 
## -0.11, -0.11, -0.11, -0.11, -0.1, -0.13, -0.13, -0.13, -0.13, 
## -0.15, -0.15, -0.15, -0.16, -0.16, -0.18, -0.18, -0.18, -0.2, 
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## -0.15, -0.11, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.15, 
## -0.13, -0.16, -0.16, -0.16, -0.16, -0.2, -0.18, -0.2, -0.18, 
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## -0.2, -0.16, -0.18, -0.16, -0.21, -0.23, -0.2, -0.23, -0.21, 
## -0.18, -0.15, -0.16, -0.15, -0.23, -0.21, -0.2, -0.18, -0.15, 
## -0.15, -0.13, -0.1, -0.08, -0.07, -0.13, -0.15, -0.13, -0.13, 
## -0.18, -0.2, -0.16, -0.13, -0.15, -0.16, -0.16, -0.15, -0.16, 
## -0.15, -0.15, -0.11, -0.11, -0.21, -0.26, -0.23, -0.2, -0.2, 
## -0.31, -0.39, -0.38, -0.48, -0.26, -0.18, 0, 0, 0, 0, 0, -0.02, 
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## -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.03, 
## -0.02, -0.49, -0.51, -0.52, -0.49, -0.48, -0.41, -0.43, -0.43, 
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## -0.48, -0.49, -0.51, -0.52, -0.51, -0.49, -0.41, -0.43, -0.46, 
## -0.49, -0.44, -0.41, -0.41, -0.41, -0.43, -0.44, -0.48, -0.44, 
## -0.41, -0.41, -0.41, -0.41, -0.43, -0.51, -0.51, -0.41, -0.43, 
## -0.43, -0.41, -0.44, -0.46, -0.46, -0.46, -0.44, -0.44, -0.43, 
## -0.46, -0.46, -0.43, -0.43, 0, -0.1, -0.05, -0.03, -0.05, -0.05, 
## -0.05, -0.03, -0.02, -0.03, -0.02, 0.02, 0.02, 0.03, -0.02, 0, 
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## -0.49, -0.49, -0.41, -0.43, -0.39, -0.43, -0.41, -0.44, -0.44, 
## -0.44, -0.46, -0.48, -0.48, -0.48, -0.51, -0.51, -0.44, -0.41, 
## -0.38, -0.41, -0.44, -0.43, -0.43, -0.43, -0.41, -0.41, -0.41, 
## -0.43, -0.43, -0.43, -0.43, -0.43, -0.44, -0.46, -0.48, -0.48, 
## -0.52, -0.44, -0.36, -0.38, -0.39, -0.41, -0.43, -0.41, -0.41, 
## -0.43, -0.41, -0.43, -0.44, -0.48, -0.51, -0.54, -0.56, -0.56, 
## -0.52, -0.56, -0.46, -0.41, -0.41, -0.41, -0.43, -0.39, -0.39, 
## -0.39, -0.41, -0.43, -0.44, -0.51, -0.49, -0.44, -0.41, -0.39, 
## -0.41, -0.41, -0.41, -0.39, -0.36, -0.59, -0.56, -0.49, -0.43, 
## -0.41, -0.41, -0.41, -0.39, -0.41, -0.43, -0.41, -0.39, -0.41, 
## -0.48, -0.48, -0.48, -0.41, -0.41, -0.41, -0.39, -0.46, -0.54, 
## -0.56, -0.48, -0.51, -0.48, -0.43, -0.43, -0.43, -0.43, -0.43, 
## -0.43, -0.39, -0.39, -0.44, -0.41, -0.54, -0.52, -0.46, -0.48, 
## -0.48, -0.48, -0.43, -0.44, -0.43, -0.41, -0.43, -0.38, -0.41, 
## -0.41, -0.43, -0.46, -0.49, -0.51, -0.51, -0.41, -0.43, -0.44, 
## -0.44, -0.44, -0.43, -0.39, -0.44, -0.46, -0.51, -0.52, -0.54, 
## -0.49, -0.48, -0.49, -0.43, -0.44, -0.44, -0.44, -0.41, -0.43, 
## -0.38, -0.51, -0.52, -0.54, -0.56, -0.54, -0.54, -0.39, -0.39, 
## -0.39, -0.38, -0.43, -0.51, -0.44, -0.54, -0.43, -0.46, -0.44, 
## -0.38, -0.38, -0.34, -0.34, -0.44, -0.49, -0.51, -0.56, -0.54, 
## -0.56, -0.56, -0.51, -0.46, -0.46, -0.48, -0.46, -0.38, -0.38, 
## -0.38, -0.38, -0.34, -0.38, -0.39, -0.39, -0.39, -0.41, -0.54, 
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## -0.46, -0.56, -0.56, -0.54, -0.54, -0.52, -0.49, -0.49, -0.44, 
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## -0.13, -0.11, -0.1, -0.08, -0.05, 0.02, 0.02, 0.07, 0.07, 0.07, 
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## 0.03, 0.02, -0.08, -0.11, -0.08, -0.05, 0, -0.02, -0.03, -0.02, 
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## 0.02, 0, -0.03, -0.02, 0, -0.07, -0.08, -0.08, -0.07, -0.05, 
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## 0.03, 0.03, 0, 0, 0, 0, -0.03, -0.03, -0.05, -0.05, -0.03, 0, 
## 0.03, 0, 0, 0.02, 0.02, 0.03, 0.03, 0.02, -0.03, 0.02, -0.02, 
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## -0.02, -0.07, -0.03, -0.03, -0.02, 0, 0, 0.02, 0.07, 0.05, 0, 
## 0, 0.02, -0.02, -0.03, -0.03, -0.05, 0, 0.02, 0, 0.02, 0.02, 
## -0.03, -0.03, -0.03, -0.07, -0.02, -0.03, -0.05, 0, 0, 0.03, 
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## -0.05, 0, 0.08, 0.05, 0, 0.02, 0.03, -0.03, -0.03, -0.03, 0, 
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## -0.05, -0.02, -0.07, -0.03, -0.03, 0.02, 0, 0, 0, 0.03, 0.05, 
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## -0.2, -0.2, -0.16, -0.16, -0.15, -0.2, -0.2, -0.18, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.13, -0.15, -0.13, -0.21, -0.23, -0.23, 
## -0.23, -0.21, -0.21, -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.16, -0.15, -0.16, -0.16, -0.18, -0.18, -0.18, -0.16, -0.18, 
## -0.15, -0.13, -0.16, -0.16, -0.16, -0.18, -0.16, -0.16, -0.15, 
## -0.21, -0.21, -0.16, -0.13, -0.13, -0.15, -0.15, -0.13, -0.23, 
## -0.2, -0.18, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, 
## -0.18, -0.16, -0.18, -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.16, -0.18, -0.18, -0.15, -0.11, -0.11, 
## -0.13, -0.15, -0.18, -0.2, -0.2, -0.21, -0.2, -0.2, -0.2, -0.18, 
## -0.18, -0.18, -0.15, -0.18, -0.16, -0.18, -0.18, -0.16, -0.16, 
## -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.15, -0.15, 
## -0.15, -0.18, -0.2, -0.2, -0.2, -0.23, -0.23, -0.2, -0.2, -0.18, 
## -0.18, -0.18, -0.16, -0.15, -0.16, -0.18, -0.18, -0.18, -0.15, 
## -0.15, -0.15, -0.18, -0.15, -0.18, -0.18, -0.2, -0.2, -0.18, 
## -0.18, -0.16, -0.15, -0.15, -0.18, -0.18, -0.15, -0.13, -0.16, 
## -0.16, -0.16, -0.18, -0.2, -0.18, -0.15, -0.15, -0.16, -0.16, 
## -0.16, -0.13, -0.13, -0.18, -0.18, -0.18, -0.18, -0.16, -0.18, 
## -0.2, -0.13, -0.15, -0.21, -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.15, -0.18, -0.18, -0.16, -0.13, 
## -0.11, -0.11, -0.1, -0.13, -0.15, -0.16, -0.16, -0.15, -0.16, 
## -0.16, -0.16, -0.13, -0.13, -0.16, -0.15, -0.15, -0.16, -0.18, 
## -0.2, -0.18, -0.18, -0.16, -0.18, -0.18, -0.2, -0.11, -0.15, 
## -0.18, -0.21, -0.21, -0.21, -0.21, -0.25, -0.23, -0.2, -0.18, 
## -0.18, -0.18, -0.16, -0.18, -0.16, -0.18, -0.16, -0.11, -0.1, 
## -0.08, -0.08, -0.11, -0.21, -0.25, -0.23, -0.16, -0.15, -0.11, 
## -0.05, -0.02, 0.02, 0, 0.02, 0.02, 0.02, -0.02, -0.02, -0.05, 
## -0.05, -0.03, -0.02, -0.03, -0.03, -0.05, -0.05, -0.08, -0.08, 
## -0.07, -0.07, -0.07, -0.15, -0.16, -0.13, -0.13, -0.21, -0.26, 
## -0.34, -0.39, -0.41, -0.39, -0.38, -0.36, -0.38, -0.34, -0.26, 
## -0.21, -0.23, -0.21, -0.23, -0.08, -0.02, -0.03, -0.13, -0.15, 
## -0.13, -0.11, -0.13, -0.13, -0.1, -0.15, -0.16, -0.2, -0.18, 
## -0.2, -0.16, -0.16, -0.16, -0.15, -0.15, -0.16, -0.16, -0.16, 
## -0.18, -0.21, -0.21, -0.16, -0.15, -0.2, -0.23, -0.2, -0.2, -0.2, 
## -0.18, -0.18, -0.16, -0.16, -0.18, -0.16, -0.16, -0.18, -0.18, 
## -0.18, -0.18, -0.21, -0.18, -0.16, -0.15, -0.13, -0.15, -0.16, 
## -0.16, -0.16, -0.18, -0.15, -0.16, -0.18, -0.18, -0.16, -0.16, 
## -0.2, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.16, 
## -0.15, -0.16, -0.16, -0.16, -0.18, -0.23, -0.18, -0.16, -0.18, 
## -0.23, -0.23, -0.2, -0.21, -0.18, -0.2, -0.25, -0.25, -0.18, 
## -0.07, -0.07, -0.1, -0.16, -0.2, -0.23, -0.26, -0.3, -0.28, -0.26, 
## -0.23, -0.21, -0.18, -0.15, -0.18, -0.2, -0.21, -0.21, -0.2, 
## -0.2, -0.18, -0.16, -0.16, -0.13, -0.15, -0.18, -0.2, -0.2, -0.18, 
## -0.16, -0.13, -0.18, -0.16, -0.18, -0.2, -0.13, -0.18, -0.2, 
## -0.25, -0.25, -0.21, -0.23, -0.23, -0.21, -0.21, -0.3, -0.21, 
## -0.18, -0.16, -0.15, -0.15, -0.13, -0.11, -0.15, -0.21, -0.15, 
## -0.15, -0.13, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, 
## -0.16, -0.16, -0.15, -0.15, -0.15, -0.13, -0.13, -0.16, -0.18, 
## -0.16, -0.16, -0.16, -0.18, -0.18, -0.15, -0.18, -0.2, -0.16, 
## -0.13, -0.11, -0.25, -0.2, -0.21, -0.16, -0.18, -0.18, -0.18, 
## -0.16, -0.15, -0.15, -0.13, -0.11, -0.18, -0.16, -0.2, -0.16, 
## -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.15, -0.15, 
## -0.16, -0.16, -0.15, -0.15, -0.16, -0.15, -0.16, -0.16, -0.16, 
## -0.15, -0.15, -0.15, -0.15, -0.18, -0.18, -0.16, -0.18, -0.18, 
## -0.18, -0.2, -0.18, -0.18, -0.16, -0.18, -0.2, -0.2, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.2, -0.18, -0.18, -0.16, -0.15, 
## -0.13, -0.13, -0.15, -0.21, -0.21, -0.21, -0.2, -0.18, -0.16, 
## -0.16, -0.16, -0.15, -0.16, -0.15, -0.18, -0.18, -0.21, -0.2, 
## -0.21, -0.21, -0.18, -0.16, -0.16, -0.2, -0.18, -0.18, -0.16, 
## -0.15, -0.16, -0.15, -0.16, -0.18, -0.16, -0.18, -0.18, -0.15, 
## -0.15, -0.15, -0.21, -0.21, -0.21, -0.2, -0.2, -0.2, -0.18, -0.18, 
## -0.2, -0.18, -0.18, -0.18, -0.18, -0.16, -0.15, -0.15, -0.16, 
## -0.16, -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, 
## -0.16, -0.16, -0.2, -0.16, -0.13, -0.11, -0.11, -0.13, -0.15, 
## -0.16, -0.15, -0.18, -0.15, -0.18, -0.16, -0.16, -0.13, -0.13, 
## -0.13, -0.18, -0.21, -0.2, -0.25, -0.25, -0.2, -0.2, -0.18, -0.18, 
## -0.16, -0.16, -0.15, -0.16, -0.15, -0.15, -0.13, -0.13, -0.18, 
## -0.21, -0.21, -0.18, -0.16, -0.16, -0.18, -0.18, -0.18, -0.11, 
## -0.11, -0.1, -0.13, -0.25, -0.26, -0.28, -0.28, -0.28, -0.26, 
## -0.18, -0.18, -0.16, -0.16, -0.15, -0.16, -0.16, -0.21, -0.15, 
## -0.16, -0.15, -0.05, -0.08, -0.11, -0.18, -0.16, -0.11, -0.15, 
## -0.2, -0.2, -0.2, -0.18, -0.15, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.18, -0.2, -0.18, -0.18, -0.15, -0.15, -0.15, -0.15, -0.15, 
## -0.16, -0.18, -0.16, -0.18, 0.05, -0.23, -0.15, -0.16, -0.15, 
## -0.15, -0.18, -0.18, -0.18, -0.18, -0.16, -0.18, -0.18, -0.18, 
## -0.13, -0.15, -0.18, -0.18, -0.16, -0.13, -0.13, -0.11, -0.13, 
## -0.15, -0.15, -0.16, -0.16, -0.15, -0.15, -0.13, -0.13, -0.11, 
## -0.16, -0.16, -0.18, -0.21, -0.21, -0.18, -0.2, -0.2, -0.21, 
## -0.21, -0.2, -0.16, -0.16, -0.15, -0.13, -0.2, -0.2, -0.18, -0.18, 
## -0.18, -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, 
## -0.15, -0.16, -0.18, -0.16, -0.18, -0.18, -0.18, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.15, -0.13, -0.16, -0.16, -0.21, 
## -0.18, -0.25, -0.13, -0.23, -0.21, -0.2, -0.18, -0.21, -0.2, 
## -0.2, -0.2, -0.23, -0.18, -0.15, -0.16, -0.13, -0.13, -0.11, 
## -0.21, -0.21, -0.21, -0.13, -0.11, -0.11, -0.1, -0.13, -0.16, 
## -0.16, -0.18, -0.18, -0.18, -0.18, -0.15, -0.15, -0.13, -0.18, 
## -0.18, -0.16, -0.15, -0.13, -0.11, -0.1, -0.11, -0.1, -0.08, 
## -0.07, -0.08, -0.11, -0.13, -0.13, -0.13, -0.15, -0.2, -0.21, 
## -0.23, -0.2, -0.18, -0.18, -0.13, -0.13, -0.15, -0.16, -0.16, 
## -0.15, -0.13, -0.16, -0.18, -0.18, -0.18, -0.15, -0.2, -0.2, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.2, -0.2, -0.2, -0.2, 
## -0.16, -0.16, -0.15, -0.2, -0.2, -0.2, -0.2, -0.18, -0.15, -0.16, 
## -0.23, -0.21, -0.21, -0.23, -0.23, -0.23, -0.18, -0.15, -0.15, 
## -0.16, -0.2, -0.18, -0.18, -0.16, -0.16, -0.15, -0.15, -0.11, 
## -0.1, -0.1, -0.11, -0.13, -0.15, -0.16, -0.16, -0.18, -0.15, 
## -0.15, -0.15, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.21, -0.21, -0.21, -0.23, -0.21, -0.21, -0.2, -0.16, -0.15, 
## -0.15, -0.13, -0.11, -0.11, -0.13, -0.11, -0.15, -0.13, -0.13, 
## -0.16, -0.16, -0.13, -0.11, -0.15, -0.16, -0.18, -0.16, -0.18, 
## -0.16, -0.03, -0.02, 0, 0, 0.02, 0, 0, -0.02, 0.02, 0.02, 0.02, 
## -0.05, -0.07, -0.07, -0.07, -0.07, -0.08, -0.05, -0.07, -0.03, 
## 0, 0.02, 0.02, 0.03, 0.05, 0.02, -0.05, -0.05, 0, 0.02, 0.07, 
## 0.02, -0.02, -0.03, 0.07, 0.07, -0.07, -0.03, -0.05, -0.03, -0.02, 
## 0, 0.03, 0.03, 0.05, 0.03, 0.05, 0.03, -0.02, 0.02, 0.03, 0.02, 
## 0, -0.02, -0.03, -0.03, 0.03, 0, -0.05, -0.02, -0.03, -0.1, -0.13, 
## -0.11, -0.05, -0.05, -0.05, -0.03, 0.02, 0.05, 0.02, 0.05, 0.02, 
## 0.03, 0.02, 0.02, -0.02, -0.05, -0.02, -0.02, 0.02, 0.07, -0.03, 
## -0.05, -0.07, -0.07, -0.07, 0, -0.02, -0.02, -0.02, -0.02, 0, 
## -0.08, -0.08, -0.03, -0.03, -0.05, 0.02, -0.03, -0.03, 0, 0.02, 
## 0.03, 0.03, 0.05, 0.03, -0.02, -0.03, -0.07, -0.08, -0.08, -0.05, 
## -0.03, 0, 0.03, -0.03, 0.03, 0.03, 0.03, 0.03, 0.05, -0.1, -0.07, 
## -0.05, -0.07, -0.08, -0.07, -0.07, 0, -0.02, 0.02, 0.02, 0.03, 
## 0.03, 0.03, 0.03, 0.05, 0.07, 0.07, 0.05, 0.05, 0.03, 0.02, 0, 
## 0.02, -0.02, -0.03, -0.07, -0.07, -0.1, -0.1, -0.08, -0.07, -0.07, 
## -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.02, 0, 0.03, 
## 0.03, -0.43, -0.43, -0.39, -0.39, -0.39, -0.36, -0.44, -0.43, 
## -0.43, -0.44, -0.49, -0.54, -0.44, -0.43, -0.43, -0.48, -0.49, 
## -0.51, -0.51, -0.39, -0.39, -0.39, -0.36, -0.41, -0.43, -0.44, 
## -0.46, -0.44, -0.49, -0.48, -0.48, -0.02, -0.03, 0, -0.02, -0.03, 
## -0.02, -0.03, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0.02, 0.03, 
## -0.03, -0.05, -0.07, -0.08, -0.03, 0, -0.03, 0, 0, -0.03, -0.03, 
## 0, 0, 0, -0.02, -0.03, 0, -0.03, -0.05, -0.05, -0.07, -0.05, 
## -0.03, -0.02, -0.02, 0, 0.02, 0.02, 0.03, -0.02, -0.02, -0.02, 
## 0, 0, 0, 0, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.07, -0.08, -0.07, -0.02, -0.02, -0.03, -0.02, 0.02, 
## 0, 0.02, -0.03, -0.02, -0.02, 0, 0, 0, 0, 0.03, -0.07, -0.08, 
## -0.07, -0.07, -0.05, -0.03, -0.02, 0, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.03, -0.05, -0.05, -0.05, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.02, -0.05, -0.05, -0.02, -0.02, -0.02, 0, 0, 0, 0, 
## 0, -0.02, 0, -0.02, -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.02, 0, 0, 0, -0.03, -0.05, -0.05, -0.05, 0.02, 0, -0.03, -0.02, 
## 0, -0.36, -0.39, -0.43, -0.41, -0.41, -0.41, -0.44, -0.44, -0.46, 
## -0.46, -0.44, -0.44, -0.44, -0.46, -0.51, -0.44, -0.43, -0.46, 
## -0.46, -0.44, -0.44, -0.48, -0.48, -0.48, -0.46, -0.44, -0.46, 
## -0.46, -0.46, -0.46, -0.41, -0.43, -0.41, -0.41, -0.43, -0.43, 
## -0.43, -0.44, -0.44, -0.46, -0.46, -0.46, -0.48, -0.44, -0.46, 
## -0.44, -0.44, -0.44, -0.43, -0.41, -0.39, -0.41, -0.44, -0.46, 
## -0.48, -0.44, -0.46, -0.44, -0.46, -0.46, -0.46, -0.46, -0.44, 
## -0.44, -0.44, -0.44, -0.44, -0.43, -0.41, -0.38, -0.38, -0.48, 
## -0.44, -0.44, -0.44, -0.46, -0.46, -0.48, -0.46, -0.48, -0.49, 
## -0.48, -0.44, -0.44, -0.44, -0.44, -0.43, -0.43, -0.44, -0.43, 
## -0.44, -0.46, -0.48, -0.44, -0.48, -0.44, -0.46, -0.44, -0.44, 
## -0.43, -0.43, -0.44, -0.46, -0.46, -0.48, -0.46, -0.46, -0.46, 
## -0.46, -0.46, -0.48, -0.48, -0.43, -0.44, -0.48, -0.48, -0.48, 
## -0.46, -0.44, -0.46, -0.48, -0.48, -0.44, -0.44, -0.43, -0.43, 
## -0.44, -0.43, -0.44, -0.43, -0.41, -0.41, -0.43, -0.43, -0.44, 
## -0.44, -0.48, -0.46, -0.46, -0.44, -0.44, -0.44, -0.44, -0.44, 
## -0.43, -0.46, -0.46, -0.44, -0.46, -0.46, -0.46, -0.46, -0.44, 
## -0.43, -0.43, -0.44, -0.39, -0.38, -0.38, -0.43, -0.41, -0.41, 
## -0.41, -0.43, -0.44, -0.48, -0.46, -0.46, -0.46, -0.46, -0.43, 
## -0.43, -0.44, -0.44, -0.44, -0.44, -0.46, -0.48, -0.48, -0.43, 
## -0.46, -0.46, -0.46, -0.43, -0.44, -0.44, -0.43, -0.43, -0.41, 
## -0.38, -0.46, -0.44, -0.44, -0.41, -0.48, -0.48, -0.46, -0.44, 
## -0.44, -0.43, -0.46, -0.44, -0.46, -0.48, -0.48, -0.48, -0.46, 
## -0.46, -0.44, -0.44, -0.46, -0.46, -0.43, -0.43, -0.43, -0.41, 
## -0.43, -0.46, -0.44, -0.44, -0.49, -0.51, -0.52, -0.49, -0.46, 
## -0.48, -0.46, -0.44, -0.43, -0.44, -0.43, -0.44, -0.44, -0.44, 
## -0.44, -0.44, -0.46, 0.02, 0.02, 0, -0.03, 0, 0.02, -0.02, -0.02, 
## -0.02, -0.05, -0.05, -0.05, -0.05, -0.07, -0.05, -0.03, -0.03, 
## -0.02, -0.03, -0.02, -0.03, -0.02, -0.02, -0.02, 0, 0, -0.02, 
## -0.02, -0.05, -0.05, -0.05, -0.03, 0, -0.03, -0.03, 0, -0.03, 
## -0.03, -0.03, -0.05, -0.03, -0.07, -0.05, -0.05, -0.02, -0.03, 
## 0, 0, 0.02, 0, 0, -0.02, -0.05, -0.05, -0.08, -0.08, -0.08, -0.08, 
## -0.08, -0.07, -0.03, 0, 0.03, 0.03, 0.03, 0.03, 0.02, -0.02, 
## -0.02, -0.05, -0.05, -0.07, -0.08, -0.02, 0, 0, 0, 0, -0.02, 
## 0.02, 0.03, 0, 0, -0.02, -0.03, -0.03, -0.05, -0.1, -0.1, -0.1, 
## -0.07, -0.02, -0.02, -0.02, -0.02, 0.02, 0.03, 0.02, 0, -0.02, 
## -0.08, -0.1, -0.11, -0.05, 0, 0, 0.02, 0.03, 0.02, 0.02, -0.02, 
## -0.02, 0, -0.02, -0.03, -0.02, -0.03, -0.03, -0.05, -0.02, 0, 
## 0.02, 0.02, -0.05, -0.05, -0.05, -0.05, -0.07, -0.07, 0, 0.05, 
## 0.07, 0.02, 0, 0, -0.02, -0.02, -0.05, -0.07, -0.02, 0, 0, 0, 
## -0.02, -0.05, -0.03, -0.05, -0.08, -0.08, -0.08, -0.08, -0.05, 
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## -0.03, -0.02, -0.02, 0, 0, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.08, -0.11, 0, -0.03, -0.02, -0.03, -0.02, -0.05, -0.03, -0.03, 
## -0.03, -0.03, 0, -0.02, 0.03, 0.02, 0, 0, 0, 0, 0.02, 0, -0.02, 
## -0.03, -0.07, -0.05, -0.05, -0.03, -0.02, -0.03, -0.02, -0.03, 
## -0.03, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.02, -0.03, 
## -0.02, -0.02, -0.02, -0.03, -0.05, -0.1, -0.11, -0.1, -0.02, 
## -0.44, -0.44, -0.43, -0.44, -0.44, -0.43, -0.41, -0.38, -0.38, 
## -0.41, -0.39, -0.41, -0.46, -0.46, -0.46, -0.48, -0.44, -0.44, 
## -0.46, -0.46, -0.46, -0.46, -0.48, -0.49, -0.49, -0.49, -0.48, 
## -0.46, -0.44, -0.43, -0.44, -0.44, -0.44, -0.43, -0.43, -0.44, 
## -0.49, -0.52, -0.41, -0.34, -0.34, -0.38, -0.38, -0.39, -0.41, 
## -0.41, -0.41, -0.43, -0.41, -0.41, -0.44, -0.46, -0.44, -0.46, 
## -0.48, -0.49, -0.46, -0.46, -0.44, -0.44, -0.51, -0.49, -0.49, 
## -0.49, -0.48, -0.46, -0.43, -0.46, -0.43, -0.41, -0.41, -0.43, 
## -0.49, -0.46, -0.46, -0.43, -0.44, -0.43, -0.41, -0.41, -0.44, 
## -0.46, -0.44, -0.46, -0.46, -0.44, -0.48, -0.48, -0.46, -0.46, 
## -0.41, -0.44, -0.48, -0.46, -0.46, -0.44, -0.44, -0.43, -0.43, 
## -0.44, -0.43, -0.44, -0.46, -0.46, -0.48, -0.46, -0.46, -0.43, 
## -0.41, -0.43, -0.41, -0.41, -0.39, -0.39, -0.46, -0.43, -0.43, 
## -0.51, -0.48, -0.43, -0.44, -0.43, -0.43, -0.44, -0.41, -0.43, 
## -0.43, -0.48, -0.48, -0.48, -0.46, -0.43, -0.44, -0.44, -0.46, 
## -0.46, -0.48, -0.49, -0.49, -0.49, -0.49, -0.49, -0.48, -0.46, 
## -0.48, -0.48, -0.48, -0.48, -0.41, -0.41, -0.39, -0.39, -0.41, 
## -0.43, -0.43, -0.43, -0.43, -0.43, -0.44, -0.46, -0.48, -0.44, 
## -0.44, -0.46, -0.43, -0.44, -0.44, -0.41, -0.41, -0.38, -0.41, 
## -0.41, -0.41, -0.41, -0.43, -0.41, -0.41, -0.41, -0.41, -0.43, 
## -0.44, -0.44, -0.46, -0.44, -0.48, -0.44, -0.46, -0.46, -0.43, 
## -0.41, -0.39, -0.44, -0.44, -0.43, -0.39, -0.44, -0.43, -0.48, 
## -0.51, -0.48, -0.49, -0.46, -0.46, -0.48, -0.41, -0.41, -0.46, 
## -0.48, -0.48, -0.48, -0.48, -0.49, -0.39, -0.41, -0.43, -0.43, 
## -0.48, -0.48, -0.44, -0.49, -0.52, -0.43, -0.43, -0.41, -0.39, 
## -0.38, -0.39, -0.51, -0.54, -0.61, -0.61, -0.15, -0.15, -0.15, 
## -0.16, -0.16, -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.15, -0.16, -0.18, -0.18, -0.16, -0.16, -0.15, -0.15, -0.15, 
## -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, -0.13, 
## -0.2, -0.21, -0.2, -0.16, -0.16, -0.16, -0.15, -0.16, -0.2, -0.2, 
## -0.15, -0.15, -0.21, -0.2, -0.15, -0.18, -0.21, -0.2, -0.18, 
## -0.16, -0.16, -0.16, -0.11, -0.16, -0.15, -0.15, -0.15, -0.15, 
## -0.15, -0.13, -0.15, -0.16, -0.18, -0.18, -0.16, -0.13, -0.16, 
## -0.16, -0.2, -0.21, -0.21, -0.2, -0.2, -0.13, -0.13, -0.11, -0.11, 
## -0.13, -0.13, -0.15, -0.16, -0.2, -0.21, -0.25, -0.21, -0.15, 
## -0.11, -0.13, -0.13, -0.18, -0.18, -0.16, -0.16, -0.13, -0.13, 
## -0.13, -0.15, -0.16, -0.16, -0.16, -0.15, -0.15, -0.18, -0.18, 
## -0.16, -0.18, -0.18, -0.2, -0.18, -0.2, -0.23, -0.21, -0.16, 
## -0.15, -0.11, -0.11, -0.13, -0.15, -0.15, -0.16, -0.2, -0.2, 
## -0.2, -0.16, -0.2, -0.15, -0.16, -0.13, -0.15, -0.15, -0.13, 
## -0.16, -0.21, -0.2, -0.16, -0.18, -0.18, -0.21, -0.21, -0.16, 
## -0.18, -0.16, -0.15, -0.13, -0.13, -0.18, -0.18, -0.18, -0.15, 
## -0.16, -0.16, -0.18, -0.15, -0.13, -0.18, -0.18, -0.18, -0.2, 
## -0.16, -0.18, -0.2, -0.26, -0.23, -0.26, -0.26, -0.26, -0.18, 
## -0.1, -0.03, -0.07, -0.15, -0.15, -0.15, -0.16, -0.16, -0.15, 
## -0.15, -0.02, -0.08, -0.13, -0.21, -0.23, -0.36, -0.48, -0.57, 
## -0.2, -0.03, -0.08, -0.26, -0.36, -0.33, 0.48, 0.64, 0.89, 0.97, 
## 0.84, 0.31, 0.25, -0.2, -0.26, -0.3, -0.38, -0.52, -0.67, -0.98, 
## -1.12, -1.05, -0.95, -0.84, -0.85, -0.72, -0.66, -0.07, 0.11, 
## 0.16, 0.49, 0.59, 0.66, 0.8, 0.85, 1.05, 1.21, 1.36, 1.38, 1.44, 
## 0.36, 0.31, 0.26, 0.05, -0.08, -0.23, -0.36, -0.46, -0.61, -0.8, 
## -0.95, -0.98, -0.92, -0.94, -1, -1.08, -1.12, -0.62, -0.54, 1.1, 
## 0.8, 0.38, -0.02, -0.08, -0.26, -0.49, -0.59, -0.8, -0.98, -1.02, 
## -1.15, -0.97, -1, -0.75, -0.72, -0.57, -0.46, -0.41, -0.38, -0.28, 
## -0.2, 0.11, 0.52, 0.61, 0.82, 1.08, 1.23, 1.28, 1.26, 1.51, 1.61, 
## 1.62, 1.61, 0.95, 0.77, 0.49, 0.26, -0.18, -0.52, -0.74, -0.8, 
## -0.82, -0.85, -0.85, -0.85, -0.84, -0.9, -0.98, -1, -1.05, -1.1, 
## -1.13, -1.15, -0.79, -0.64, -0.52, -0.28, -0.16, 0.56, 0.71, 
## 1.07, 1.1, 1.2, 1.31, 1.28, 0.84, 0.52, 0.39, -0.02, -0.16, -0.3, 
## -0.38, -0.74, -0.75, -0.82, -0.87, -0.89, -0.9, -0.94, -1.13, 
## -1.08, -0.62, -0.3, -0.18, 0.21, 0.64, 0.72, 0.98, 1.02, 1.05, 
## 1.08, 1.12, 0.85, 0.71, 0.52, 0.05, -0.16, -0.18, -0.46, -0.64, 
## -0.74, -0.84, -0.87, -1.08, -0.98, -0.92, -0.85, -0.62, -0.52, 
## 0.05, 0.1, 0.21, 0.77, 0.89, 0.94, 0.94, 0.9, 0.92, 0.95, 0.98, 
## 1.02, 0.84, 0.39, 0.05, -0.07, -0.11, -0.21, -0.44, -0.48, -0.51, 
## -0.61, -0.64, -0.75, -0.8, -0.84, -0.92, -0.95, -1.13, -1.3, 
## -1.2, -1.1, -0.77, -0.79, -0.71, -0.66, -0.49, -0.34, -0.3, 0.25, 
## 0.3, 0.39, 0.71, 0.89, 0.98, 0.98, 1, 1.15, 1.23, 1.33, 1.18, 
## 1.03, 0.95, 0.87, 0.71, 0.44, 0.33, 0.02, -0.1, -0.21, -0.34, 
## -0.39, -0.54, -0.57, -0.64, -0.85, -0.82, -0.87, -0.92, -1, -1.05, 
## -0.94, -0.82, -0.59, -0.3, -0.07, 0.02, 0.16, 0.18, 0.13, 0.08, 
## 0.11, 0.1, 0, 0, -0.03, -0.05, -0.03, -0.03, 0, 0.03, 0.02, 0.02, 
## 0.03, 0.03, 0, 0, -0.05, -0.05, -0.03, 0.02, -0.05, -0.03, -0.03, 
## 0, 0, 0.02, 0.02, 0, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, 0, -0.03, -0.05, -0.03, 
## -0.02, 0.03, 0.03, 0.02, 0, -0.03, -0.03, -0.03, 0, -0.02, 0, 
## -0.02, -0.03, -0.05, -0.05, -0.03, -0.05, -0.05, -0.05, -0.02, 
## -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.02, 0, 0.03, 0, -0.02, -0.02, -0.03, 
## -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.08, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, 0, -0.05, -0.07, -0.08, -0.07, -0.07, 0.02, 0.03, 0.03, 
## 0, -0.03, -0.02, -0.02, 0, 0, 0, -0.02, -0.02, -0.03, -0.07, 
## -0.07, -0.03, -0.05, -0.05, -0.02, -0.03, -0.02, -0.03, -0.02, 
## -0.03, -0.05, -0.07, -0.05, 0.02, -0.03, -0.02, 0, 0, 0, 0.02, 
## 0, -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.05, 
## -0.05, -0.02, -0.02, -0.02, -0.02, -0.05, -0.05, -0.03, -0.02, 
## 0, 0, 0, 0, 0, -0.05, -0.08, -0.08, -0.03, -0.02, -0.02, 0, 0, 
## -0.02, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, 0, 0, 0, 0.02, 0.03, 
## 0, 0, -0.02, -0.03, 0, 0, -0.03, -0.03, -0.07, 0, 0, -0.02, 0, 
## 0, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.03, 
## 0, 0, 0, 0, 0, 0.02, 0, -0.05, -0.03, 0.02, 0.02, 0.03, 0.02, 
## 0.02, -0.03, 0, -0.02, -0.02, -0.03, -0.02, 0, -0.02, 0, 0.02, 
## 0, 0, -0.02, -0.02, -0.02, 0.05, 0.03, -0.02, 0, 0, 0, -0.02, 
## -0.02, -0.03, -0.02, 0, 0.03, 0, -0.03, -0.05, 0, 0, 0, 0.02, 
## 0, 0, -0.03, -0.03, -0.03, -0.03, 0.03, 0, 0, -0.02, -0.02, -0.02, 
## 0.02, -0.03, -0.03, 0.02, 0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, -0.03, -0.02, -0.02, -0.03, 0, 0.02, 0, 0, -0.02, -0.07, 
## -0.03, 0.02, 0, 0.02, 0.05, 0.02, 0, 0, 0, -0.03, -0.03, 0.02, 
## -0.02, -0.03, -0.05, -0.03, 0, 0.02, 0, -0.02, 0, 0, 0.02, -0.03, 
## -0.02, 0, 0, 0, -0.02, 0.02, -0.05, -0.05, -0.03, 0, 0, 0.03, 
## 0.05, 0.03, 0.03, 0.02, 0.02, 0, 0.02, -0.05, 0.02, 0.02, 0.02, 
## 0, 0.02, 0.02, 0.02, -0.03, 0, 0.03, 0, -0.02, -0.02, -0.02, 
## -0.03, 0, 0, -0.03, -0.02, -0.02, -0.03, -0.03, -0.05, -0.02, 
## -0.02, -0.02, -0.03, 0, 0.03, 0.02, -0.05, -0.03, 0, -0.02, -0.02, 
## 0, 0.02, 0, -0.02, 0, -0.02, 0, 0.02, 0, 0, -0.02, 0.02, 0.02, 
## 0, -0.02, 0, 0, 0.02, 0.02, 0.03, 0.02, 0, 0.02, 0, 0, -0.02, 
## -0.02, -0.03, -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, 
## -0.05, -0.07, -0.08, -0.02, -0.02, 0.03, 0.07, 0.11, 0.15, 0.18, 
## 0.2, 0.2, 0.23, -0.15, -0.15, -0.15, -0.15, -0.15, -0.07, 0.02, 
## -0.02, -0.08, -0.07, -0.02, 0.03, 0.02, 0.02, -0.03, 0.02, 0, 
## 0, 0, 0, 0, -0.18, -0.18, -0.2, -0.18, -0.18, -0.18, -0.18, -0.16, 
## -0.16, -0.15, -0.16, -0.16, -0.15, -0.16, -0.16, -0.18, -0.16, 
## -0.15, -0.16, -0.2, -0.18, -0.18, -0.18, -0.16, -0.18, -0.18, 
## -0.18, -0.18, -0.15, -0.15, -0.15, -0.18, -0.18, -0.16, -0.15, 
## -0.15, -0.15, -0.15, -0.2, -0.2, -0.16, -0.16, -0.18, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.11, -0.11, -0.11, -0.15, 
## -0.15, -0.16, -0.18, -0.18, -0.16, -0.16, -0.15, -0.16, -0.18, 
## -0.15, -0.15, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.18, 
## -0.18, -0.18, -0.16, -0.18, -0.13, -0.15, -0.13, -0.15, -0.13, 
## -0.13, -0.15, -0.15, -0.13, -0.15, -0.15, -0.16, -0.16, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.18, 
## -0.16, -0.16, -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, 
## -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.18, 
## -0.16, -0.15, -0.16, -0.16, -0.16, -0.18, -0.16, -0.16, -0.18, 
## -0.18, -0.18, -0.16, -0.15, -0.16, -0.16, -0.15, -0.16, -0.16, 
## -0.15, -0.13, -0.18, -0.2, -0.16, -0.2, -0.15, -0.16, -0.16, 
## -0.2, -0.18, -0.18, -0.2, -0.2, -0.18, -0.2, -0.11, -0.1, -0.1, 
## -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.18, -0.25, -0.18, -0.2, -0.18, -0.15, -0.16, 
## -0.18, -0.16, -0.15, -0.15, -0.13, -0.03, -0.03, -0.05, 0, -0.07, 
## 0.11, 0.15, 0.15, 0.11, 0.16, 0.15, -0.34, -0.3, -0.05, -0.25, 
## -0.36, -0.33, -0.31, -0.26, -0.28, -0.28, -0.26, -0.26, -0.18, 
## -0.18, -0.18, -0.05, -0.23, -0.3, -0.36, -0.34, -0.2, -0.2, -0.2, 
## -0.18, -0.15, -0.15, -0.13, -0.15, -0.16, -0.16, -0.15, -0.16, 
## -0.18, -0.18, -0.18, -0.18, -0.2, -0.21, -0.11, -0.2, -0.21, 
## -0.23, -0.21, -0.21, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.15, -0.13, 
## -0.13, -0.15, -0.16, -0.23, -0.18, -0.16, -0.18, -0.13, -0.15, 
## -0.16, -0.18, -0.18, -0.16, -0.16, -0.13, -0.18, -0.18, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.2, -0.18, -0.18, -0.16, -0.16, 
## -0.15, -0.16, -0.18, -0.18, -0.18, -0.16, -0.2, -0.2, -0.18, 
## -0.18, -0.16, -0.18, -0.18, -0.15, -0.13, -0.15, -0.16, -0.16, 
## -0.18, -0.2, -0.18, -0.18, -0.16, -0.16, -0.2, -0.2, -0.18, -0.1, 
## -0.23, -0.2, -0.2, -0.15, -0.15, -0.36, -0.16, -0.05, -0.16, 
## -0.21, -0.16, -0.2, -0.2, -0.18, -0.18, -0.16, -0.15, -0.15, 
## -0.13, -0.1, -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, -0.16, 
## -0.21, -0.2, -0.2, -0.2, -0.18, -0.15, -0.15, -0.16, -0.16, -0.13, 
## -0.13, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.2, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.2, -0.2, -0.16, 
## -0.16, -0.23, -0.26, -0.23, -0.21, -0.2, -0.18, -0.2, -0.2, -0.21, 
## -0.2, -0.18, -0.18, -0.13, -0.13, -0.13, -0.13, -0.13, -0.11, 
## -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.18, -0.2, -0.18, 
## -0.21, -0.2, -0.18, -0.18, -0.16, -0.16, -0.18, -0.18, -0.18, 
## -0.2, -0.2, -0.2, -0.15, -0.15, -0.1, -0.13, -0.15, -0.15, -0.2, 
## -0.16, -0.15, -0.15, -0.18, -0.16, -0.18, -0.16, -0.18, -0.18, 
## -0.16, -0.15, -0.16, -0.16, -0.18, -0.16, -0.16, -0.15, -0.15, 
## -0.15, -0.13, -0.15, -0.18, -0.2, -0.2, -0.18, -0.15, -0.13, 
## -0.16, -0.2, -0.18, -0.16, -0.13, -0.18, -0.18, -0.18, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.2, -0.2, -0.18, -0.15, -0.11, 
## -0.11, -0.13, -0.11, -0.11, -0.13, -0.16, -0.13, -0.13, -0.16, 
## -0.16, -0.18, -0.16, -0.18, -0.2, -0.2, -0.18, -0.18, -0.21, 
## -0.2, -0.16, -0.18, -0.2, -0.2, -0.2, -0.18, -0.16, -0.16, -0.16, 
## -0.16, -0.18, -0.2, -0.2, -0.18, -0.18, -0.16, -0.15, -0.16, 
## -0.16, -0.18, -0.18, -0.16, -0.16, -0.15, -0.16, -0.2, -0.16, 
## -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.2, -0.15, -0.16, -0.18, -0.16, -0.16, -0.16, 
## -0.18, -0.16, -0.16, -0.16, -0.15, -0.2, -0.16, -0.18, -0.16, 
## -0.16, -0.16, -0.11, -0.1, -0.02, 0, 0.03, 0.02, 0.02, -0.03, 
## -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.02, -0.05, -0.02, 0, -0.02, -0.02, 0.02, 
## -0.05, -0.03, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0, 0, 0, -0.05, 
## -0.05, -0.02, -0.02, 0, 0.03, 0.02, 0, 0.05, -0.03, -0.03, 0, 
## -0.02, -1.12, -1.07, -1.03, -1, -0.43, -0.41, 0.11, 0.16, 0.25, 
## 1.13, 1.2, 1.05, 0.15, 0.02, -0.02, -0.11, -0.33, -0.43, -0.52, 
## -0.69, -0.74, -0.77, -0.87, -0.87, -0.89, -0.89, -1, -1.05, -0.89, 
## -0.71, -0.57, -0.52, -0.28, -0.21, -0.16, 0.1, 0.2, 0.23, 0.3, 
## 0.46, 0.77, 1.12, 1.18, 1.16, 1.15, 1.28, 1.2, -0.15, -0.28, 
## -0.43, -0.48, -0.52, -0.69, -0.8, -0.84, -0.85, -0.95, -1.12, 
## -1.12, -1.08, -1.02, -0.94, -0.43, -0.21, -0.03, 0.05, 0.41, 
## 0.79, 1.02, 1.3, 1.39, 1.18, 0.79, 0.67, 0.61, 0.56, -0.44, -0.44, 
## -0.46, -0.46, -0.49, -0.51, -0.51, -0.48, -0.49, -0.48, -0.43, 
## -0.43, -0.43, -0.43, -0.48, -0.46, -0.41, -0.38, -0.41, -0.41, 
## -0.43, -0.44, -0.44, -0.48, -0.46, -0.44, -0.48, -0.49, -0.49, 
## -0.49, -0.49, -0.46, -0.43, -0.46, -0.44, -0.44, -0.46, -0.44, 
## -0.43, -0.43, -0.41, -0.44, -0.44, -0.44, -0.44, -0.44, -0.46, 
## -0.48, -0.46, -0.44, -0.05, -0.03, -0.05, -0.03, -0.03, -0.02, 
## -0.02, -0.02, -0.05, -0.05, -0.07, -0.05, -0.05, -0.02, 0, 0.02, 
## 0.02, -0.03, -0.02, 0, 0, 0.02, 0, 0.02, 0.02, 0, -0.03, -0.02, 
## -0.03, -0.02, -0.03, -0.03, 0.08, 0.13, 0.15, 0.1, -0.02, -0.23, 
## -0.15, -0.77, -0.28, -0.28, -0.44, -0.33, -0.3, -0.33, -0.21, 
## -0.11, -0.05, 0, -0.03, -0.03, 0.03, 0, -0.02, -0.03, -0.02, 
## 0.02, -0.56, -0.56, -0.54, -0.52, -0.52, -0.51, -0.36, -0.3, 
## -0.18, -0.15, -0.15, -0.15, -0.11, -0.11, -0.13, -0.15, -0.13, 
## -0.1, -0.07, 0.08, 0.08, 0.07, 0.44, 0.08, 0.13, 0.07, -0.02, 
## -0.03, -0.1, -0.13, -0.2, -0.28, -0.3, -0.34, -0.43, -0.57, -0.66, 
## -0.67, -0.72, -0.67, -0.59, -0.44, -0.46, -0.52, -0.54, -0.54, 
## -0.54, -0.31, -0.3, -0.25, -0.07, 0.13, 0.16, 0.13, 0.11, -0.2, 
## -0.21, -0.2, -0.15, -0.07, 0.02, -0.03, -0.08, -0.28, -0.33, 
## -0.36, -0.41, -0.46, -0.44, -0.16, -0.18, -0.11, -0.03, -0.03, 
## 0.15, 0.15, 0.16, 0.18, 0.21, 0.2, 0.2, 0.3, 0.28, 0.3, 0.13, 
## 0.07, 0.44, 0.31, 0.28, 0.2, 0.21, 0.2, -0.02, -0.07, -0.11, 
## -0.21, -0.3, -0.13, -0.1, -0.08, -0.02, 0.49, 0.49, 0.49, 0.36, 
## 0.3, 0.26, 0.2, 0.02, 0.18, 0.2, 0.18, 0.03, -0.26, -0.39, -0.46, 
## -0.54, -0.59, -0.72, -0.56, -0.43, -0.34, -0.26, -0.16, -0.13, 
## -0.11, 0.05, 0.07, 0.08, 0.08, 0.11, 0.15, 0.33, 0.41, 0.44, 
## 0.57, 0.61, 0.69, 0.66, 0.59, 0.39, 0.31, 0.3, 0.25, 0.13, 0.11, 
## 0.13, 0.15, -0.15, -0.2, -0.26, -0.48, -0.52, -0.54, -0.56, -0.56, 
## -0.46, -0.33, -0.28, -0.26, -0.23, -0.25, -0.05, -0.02, -0.02, 
## 0.03, 0.3, 0.41, 0.8, 0.79, 0.44, 0.41, 0.33, 0.3, 0.3, 0.3, 
## 0.07, 0.13, -0.07, -0.23, -0.33, -0.36, -0.38, -0.36, -0.41, 
## -0.52, -0.52, -0.56, -0.52, -0.51, -0.36, -0.31, -0.16, -0.15, 
## -0.05, 0, -0.02, 0.08, -0.23, -0.28, -0.52, -0.44, -0.39, -0.16, 
## -0.16, 0.1, 0.59, 0.48, 0.03, -0.02, 0.07, 0.07, -0.05, -0.18, 
## -0.25, -0.38, -0.38, -0.44, -0.44, -0.49, -0.51, -0.52, -0.51, 
## -0.54, -0.72, -0.46, -0.34, -0.33, -0.03, 0.02, 0.13, 0.49, 0.52, 
## 0.52, 0.54, 0.49, 0.39, 0.28, 0.3, 0.31, 0.25, 0.18, 0.13, 0.13, 
## 0.1, 0.05, 0.07, 0.23, 0.34, 0.59, 0.67, 0.71, 0.67, 0.62, 0.56, 
## 0.48, 0.41, 0.21, 0.2, 0.21, 0.13, 0.05, -0.16, -0.52, -0.62, 
## -0.62, -0.62, -0.64, -0.56, -0.62, -0.3, -0.31, 0.05, 0.23, 0.26, 
## 0.56, 0.56, 0.71, 0.79, 0.15, 0.15, -0.25, -0.49, -0.54, -0.57, 
## -0.62, -0.59, -0.57, -0.57, -0.49, -0.59, -0.62, -0.31, -0.26, 
## -0.15, -0.07, 0, 0.11, 0.21, 0.33, 0.38, 0.39, 0.39, 0.48, 0.48, 
## 0.66, 0.64, 0.61, 0.56, 0.54, 0.51, 0.57, 0.08, -0.26, -0.33, 
## -0.39, -0.44, -0.46, -0.54, -0.52, -0.52, -0.51, -0.43, -0.51, 
## -0.39, -0.33, -0.16, -0.16, -0.08, -0.08, -0.05, -0.07, -0.05, 
## -0.05, -0.03, 0, 0, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, 
## -0.02, -0.03, 0, -0.02, 0, 0, -0.02, -0.03, -0.03, -0.02, -0.02, 
## 0, 0, 0.02, 0, -0.02, -0.02, -0.03, -0.02, 0, 0.08, 0.02, 0.02, 
## 0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.05, -0.05, 
## -0.03, -0.07, -0.07, -0.05, -0.07, -0.07, -0.69, -0.61, -0.34, 
## 0.16, 0.46, 0.02, 0.02, -0.05, -0.07, -0.08, -0.08, -0.23, -0.8, 
## -1, -0.97, -1.15, -0.89, -0.64, -0.59, -0.46, -0.38, -0.34, -0.41, 
## -0.43, -0.41, -0.33, 0.08, 0.11, 0.16, 0.07, -0.33, -0.41, -0.51, 
## -0.43, -0.23, -0.66, -0.69, -0.82, -0.84, -0.97, -0.97, -1, -1.2, 
## -0.94, -0.87, -0.71, -0.71, -0.39, -0.39, -0.43, -0.44, -0.39, 
## -0.34, -0.26, -0.13, -0.1, -0.03, -0.02, 0.15, 0.05, -0.23, -0.39, 
## -0.41, -0.34, -0.41, -0.49, -0.98, -1.12, -1.18, -1.07, -0.98, 
## -0.97, -0.98, -0.77, -0.67, -0.38, -0.21, -0.2, -0.2, -0.16, 
## 0.03, 0.11, 0.49, 0.46, 0.43, 0.44, 0.43, 0.48, 0.56, 0.36, 0.23, 
## 0.08, 0.05, 0.03, 0, -0.05, -0.08, -0.21, -0.25, -0.41, -0.43, 
## -0.46, -0.49, -0.77, -0.71, -0.49, -0.56, -0.52, -0.57, -0.61, 
## -0.49, -0.44, -0.41, -0.36, -0.31, -0.15, -0.15, -0.11, 0, 0.26, 
## 0.33, 0.38, 0.36, 0.39, 0.28, 0.16, 0.16, 0.2, 0.16, 0.08, -0.18, 
## -0.23, -0.33, -0.49, -0.57, -0.79, -0.77, -0.74, -0.71, -0.66, 
## -0.62, -0.61, -0.62, -0.61, -0.56, -0.36, -0.3, -0.15, 0.02, 
## 0.13, 0.3, 0.38, 0.38, 0.34, 0.36, 0.34, 0.34, 0.28, 0.28, 0.25, 
## 0.25, 0.2, 0.13, 0.07, 0.05, 0.05, 0, -0.18, -0.21, -0.26, -0.26, 
## -0.52, -0.66, -0.69, -0.66, -0.66, -0.69, -0.67, -0.66, -0.62, 
## -0.62, -0.64, -0.59, -0.54, -0.41, -0.38, -0.36, -0.34, 0.07, 
## 0.03, -0.03, -0.07, -0.05, 0.02, 0.03, 0.2, 0.07, 0.1, 0.13, 
## 0.23, 0.31, 0.28, 0.23, 0.18, 0.18, 0.07, -0.02, -0.25, -0.28, 
## -0.38, -0.38, -0.46, -0.56, -0.62, -0.66, -0.67, -0.71, -0.71, 
## -0.77, -0.82, -0.85, -0.82, -0.79, -0.72, -0.34, -0.23, -0.02, 
## 0.18, 0.25, 0.36, 0.34, 0.36, 0.31, 0.16, 0.38, 0.25, 0.1, -0.08, 
## -0.13, -0.21, -0.26, -0.44, -0.74, -0.8, -0.89, -0.9, -0.74, 
## -0.74, -0.61, -0.64, -0.72, -0.64, -0.49, 0.16, 0.2, 0.23, 0.33, 
## 0.39, 0.51, 0.56, 0.3, 0.36, 0.31, 0.26, 0.36, 0.11, 0.1, 0.05, 
## -0.25, -0.25, -0.39, -0.36, -0.34, -0.56, -0.64, -0.74, -0.9, 
## -0.9, -0.97, -0.87, -0.84, -0.82, -0.82, -0.89, -0.59, -0.13, 
## -0.11, 0.38, 0.39, 0.38, 0.39, 0.49, 0.41, 0.36, 0.36, 0.36, 
## 0.41, 0.43, 0.38, 0.38, 0.25, -0.1, -0.16, -0.18, -0.21, -0.23, 
## -0.38, -0.44, -0.46, -0.66, -0.54, -0.66, -0.8, -0.84, -0.87, 
## -0.87, -0.8, -0.98, -0.97, -0.94, -0.79, -0.41, -0.21, -0.21, 
## -0.07, 0.08, 0.13, 0.13, 0.13, 0.2, 0.2, 0.18, 0.26, 0.33, 0.38, 
## 0.39, 0.43, 0.44, 0.46, 0.49, -0.43, -0.49, -0.52, -0.56, -0.69, 
## -0.74, -0.8, -0.85, -0.82, -0.66, -0.66, -0.66, -0.67, -0.57, 
## -0.52, -0.56, -0.33, -0.11, -0.08, -0.05, 0.08, 0.23, 0.26, 0.3, 
## 0.3, 0.34, 0.48, 0.66, 0.33, 0.26, 0.21, 0.26, 0.25, 0.11, 0.18, 
## 0.2, 0.15, -0.03, -0.07, -0.2, -0.28, -0.33, -0.41, -0.41, -0.52, 
## -0.62, -0.79, -0.82, -0.75, -0.75, -0.74, -0.61, -0.59, -0.51, 
## -0.51, -0.49, -0.51, -0.44, -0.26, -0.02, 0.05, 0.1, 0.1, 0.15, 
## 0.16, 0.23, 0.25, 0.38, 0.13, 0.1, 0.11, 0.13, 0.2, -0.02, 0, 
## 0.02, -0.05, -0.08, 0, -0.07, -0.15, -0.18, -0.43, -0.49, -0.56, 
## -0.71, -0.98, -1.03, -1.02, -1, -0.49, -0.43, -0.33, -0.21, -0.16, 
## -0.16, -0.07, -0.03, 0.03, 0.03, -0.03, -0.07, -0.05, -0.02, 
## 0, -0.02, -0.03, -0.07, -0.08, -0.07, -0.11, -0.08, -0.18, -0.48, 
## -0.31, -0.23, 0.03, 0, 0.05, 0.03, 0.02, 0.02, -0.05, -0.13, 
## -0.13, -0.08, -0.16, -0.25, -0.25, -0.2, -0.21, -0.18, -0.2, 
## -0.18, -0.21, -0.2, -0.16, -0.15, -0.13, -0.13, -0.11, -0.11, 
## -0.1, -0.15, -0.15, -0.15, -0.16, 0, 0, -0.02, -0.02, -0.03, 
## 0.02, -0.05, -0.03, 0.03, 0.03, 0.05, 0.03, 0.03, 0, 0, -0.03, 
## -0.05, -0.03, -0.02, -0.03, -0.03, -0.05, -0.05, -0.07, -0.07, 
## -0.07, -0.05, -0.03, 0, -0.03, 0, 0.02, 0.02, 0, -0.02, -0.07, 
## -0.03, -0.03, -0.03, 0.05, 0.05, -0.05, -0.05, -0.07, -0.03, 
## 0.02, -0.02, 0.02, 0.02, -0.08, 0.03, 0, 0, -0.02, 0.03, -0.02, 
## -0.05, -0.05, -0.05, -0.07, -0.05, 0, 0.02, 0.03, 0.03, -0.05, 
## -0.05, -0.05, -0.08, -0.08, -0.08, -0.1, -0.1, -0.08, -0.07, 
## -0.05, -0.02, 0.05, 0.08, 0.08, 0.05, -0.05, -0.05, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.07, 0, 0.02, -0.07, -0.1, -0.1, -0.1, 
## -0.1, -0.07, -0.02, 0.05, 0.03, 0.02, 0, 0.02, 0.03, 0.02, 0.02, 
## -0.03, -0.03, -0.02, -0.03, -0.02, -0.07, -0.05, -0.02, 0, 0.02, 
## -0.02, -0.07, -0.07, -0.03, 0, 0.02, 0, -0.02, -0.02, -0.02, 
## -0.03, 0.02, 0.03, 0.03, -0.02, -0.05, -0.07, -0.07, -0.07, -0.02, 
## -0.02, -0.02, 0, 0, 0, -0.02, -0.03, -0.05, -0.08, -0.08, -0.1, 
## -0.08, 0, 0.02, 0.02, 0, -0.02, 0, 0, 0.05, 0.05, 0.05, -0.02, 
## -0.03, -0.05, 0.05, 0.02, 0.02, 0.02, 0.02, 0, -0.05, -0.08, 
## -0.07, -0.05, -0.05, -0.08, -0.07, -0.05, 0, 0, -0.07, -0.08, 
## -0.07, -0.08, -0.08, -0.1, -0.07, -0.05, -0.05, 0, 0.02, 0, 0, 
## 0.03, 0.03, 0.03, 0.07, 0.07, 0.07, 0.03, 0.02, -0.03, -0.03, 
## -0.05, -0.05, -0.1, -0.1, -0.08, -0.07, -0.05, 0.02, 0, -0.03, 
## -0.02, -0.02, -0.02, -0.02, 0.02, 0.02, 0, -0.02, -0.02, 0, 0, 
## 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, 
## -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 
## -0.03, -0.02, -0.02, -0.02, 0.16, -0.23, -0.08, -0.05, 0.13, 
## 0.71, 0.03, 0.05, 0.23, -0.08, 0.03, -0.02, 0.02, 0.02, 0.02, 
## 0, 0, -0.03, 0.02, 0.03, -0.02, -0.02, 0.02, 0, 0, 0.02, 0.02, 
## 0, 0.02, 0, -0.03, -0.02, 0, -0.08, -0.11, 0.03, 0.15, 0.23, 
## 0.33, 0.31, 0.59, 0.48, 0.15, 0.16, 0, -0.3, -0.46, -0.8, -0.51, 
## -0.48, -0.48, -0.31, -0.11, -0.08, -0.1, 0.36, 0.43, 0.46, 0.57, 
## 0.62, 0.59, 1.12, 0.52, 0.13, 0.08, -0.02, -0.02, -0.11, -0.18, 
## -0.3, -0.33, -0.36, -0.59, -0.31, 0.02, -0.08, -0.03, 0.03, 0.25, 
## 0.31, 0.72, 0.79, 0.66, 0.66, 0.05, 0.05, -0.13, -0.39, -0.54, 
## -0.67, -0.84, -0.62, -0.52, -0.52, -0.44, -0.36, -0.21, -0.08, 
## -0.02, 0.07, 0.11, 0.16, 0.28, 0.3, 0.31, 0.34, 0.38, 0.56, 0.69, 
## 0.67, 0.69, 0.34, 0.43, 0.11, 0.08, -0.38, -0.46, -0.67, -0.69, 
## -0.67, -0.43, 0.07, 0.15, 0.16, 0.1, 0.05, 0.25, 0.38, 0.52, 
## 0.21, 0.33, -0.02, -0.07, -0.18, -0.28, -0.36, -0.51, -0.72, 
## -0.85, -0.59, -0.56, -0.08, 0.03, -0.02, 0.03, 0.02, 0.05, 0.08, 
## 0.23, 0.57, 0.57, 0.56, 0.59, 0.71, 0.71, 0.43, 0.33, 0.13, 0.13, 
## 0.05, -0.03, -0.11, -0.21, -0.26, -0.28, -0.39, -0.77, -0.54, 
## -0.51, -0.49, -0.31, -0.03, -0.03, 0.05, 0.11, 0.51, 0.54, 0.62, 
## 0.54, 0.02, -0.07, -0.1, -0.15, -0.49, -0.49, -0.43, -0.36, -0.36, 
## -0.44, -0.05, 0.03, 0.08, 0.18, -0.13, -0.13, 0.08, 0.1, 0.18, 
## 0.25, 0.36, 0.49, 0.56, 0.54, 0.28, 0.23, 0.3, 0.16, 0.08, -0.03, 
## -0.13, -0.18, -0.21, -0.36, -0.38, -0.34, -0.28, -0.3, -0.25, 
## -0.16, 0.03, 0.05, -0.38, -0.23, -0.23, -0.05, 0.02, 0, 0.03, 
## 0.02, 0.02, -0.11, 0.08, -0.02, -0.02, 0.02, 0.02, 0, 0, 0, 0.02, 
## 0, -0.02, -0.03, -0.05, 0, -0.05, -0.02, 0.02, 0.03, 0.02, 0.02, 
## 0.02, -0.02, -0.02, 0.02, 0.02, -0.02, -0.02, -0.03, -0.07, -0.1, 
## -0.08, -0.02, 0.02, 0.07, 0.2, 0.23, 0.25, 0.02, 0.05, 0.07, 
## 0.08, 0.11, 0.16, 0.18, 0.11, 0.07, 0.03, 0, -0.13, -0.16, -0.21, 
## -0.3, -0.43, -0.62, -0.66, -0.67, -0.59, -0.59, -0.56, -0.71, 
## -0.75, -0.69, -0.48, -0.46, -0.44, -0.39, -0.34, -0.18, -0.13, 
## -0.08, -0.08, -0.08, -0.07, 0, 0, 0.03, 0.28, 0.33, 0.39, 0.46, 
## 0.18, 0.13, 0.08, -0.02, -0.03, -0.02, 0.05, 0.03, 0.02, 0, -0.03, 
## -0.11, -0.2, -0.25, -0.34, -0.48, -0.51, -0.54, -0.59, -0.69, 
## -0.69, -0.62, -0.59, -0.54, -0.44, -0.41, -0.38, -0.3, -0.1, 
## 0.02, 0.13, 0.39, 0.34, 0.43, 0.41, 0.34, 0, 0.03, -0.07, -0.05, 
## -0.07, -0.15, -0.25, -0.33, -0.36, -0.44, -0.62, -0.69, -0.67, 
## -0.66, -0.69, -0.69, -0.66, -0.62, -0.59, -0.51, -0.44, -0.36, 
## -0.33, -0.31, -0.26, -0.25, -0.21, -0.13, -0.1, -0.03, -0.05, 
## -0.03, 0.15, 0.2, 0.23, 0.2, 0.2, 0.25, 0.26, 0.3, 0.28, 0.3, 
## 0.16, 0.07, -0.03, -0.02, -0.02, 0, -0.11, -0.15, -0.2, -0.25, 
## -0.41, -0.48, -0.67, -0.69, -0.64, -0.62, -0.44, -0.39, 0.54, 
## 0.64, 0.46, 0.3, 0.21, 0.23, 0.11, -0.07, -0.1, -0.25, -0.25, 
## -0.3, -0.41, -0.43, -0.46, -0.56, -0.87, -0.85, -0.43, -0.43, 
## -0.21, 0.05, 0.16, -0.07, -0.07, 0.13, 0.23, 0.2, 0.02, 0.05, 
## 0.05, 0.02, 0.15, 0.36, 0.3, 0.26, 0.08, 0.02, -0.15, -0.25, 
## -0.28, -0.26, -0.28, -0.28, -0.28, -0.26, -0.34, -0.39, -0.46, 
## -0.59, 0.13, 0.16, 0.25, 0.33, 0.41, 0.36, 0.26, 0.23, 0.08, 
## 0.07, 0.1, 0.08, 0.05, 0, -0.03, -0.03, 0.02, -0.11, -0.13, -0.25, 
## -0.36, -0.43, -0.67, -0.71, -0.74, -0.79, -0.8, -0.69, -0.57, 
## -0.54, -0.41, -0.34, -0.3, -0.28, -0.25, -0.25, -0.08, -0.02, 
## 0.02, -0.03, -0.07, -0.18, 0.25, 0.33, 0.38, 0.31, 0.23, 0.13, 
## 0.11, 0.05, 0.07, -0.02, 0.03, -0.13, -0.13, -0.36, -0.41, -0.57, 
## -0.67, -0.71, -0.74, -0.84, -0.82, -0.08, 0.18, 0.26, 0.34, 0.49, 
## -0.11, -0.16, -0.2, -0.8, -0.62, -0.59, -0.52, -0.52, -0.51, 
## -0.51, -0.44, -0.36, -0.13, -0.13, -0.69, -0.66, -0.62, -0.52, 
## -0.51, -0.46, -0.43, -0.41, -0.18, 0, -0.02, 0, -0.03, -0.15, 
## -0.13, 0.07, -0.41, -0.41, -0.36, -0.34, -0.31, -0.23, -0.15, 
## 0, -0.15, -0.18, -0.11, -0.03, 0.3, -0.97, -1.2, -0.74, -0.59, 
## -0.54, -0.52, -0.49, -0.51, -0.48, -0.43, -0.1, 0.03, -0.03, 
## -0.23, -0.25, -0.3, -0.61, -0.05, 0.13, 0.15, 0.1, -0.03, -0.15, 
## -0.28, -0.16, -0.11, -0.44, -0.59, -0.64, -0.74, -0.82, -1.08, 
## -1.08, -1.12, -1.15, -0.98, -1.03, -1.08, -0.72, -0.75, -0.72, 
## -0.67, -0.28, -0.26, -0.21, -0.08, -0.07, 0.25, 0.2, 0.03, 0.08, 
## -0.15, -0.3, -0.34, -0.23, -0.52, -0.62, -0.69, -0.75, -0.94, 
## -1.2, -0.84, -0.84, -0.89, -0.8, -0.61, -0.52, -0.41, -0.33, 
## -0.03, 0.07, 0.3, 0.31, -0.02, -0.03, -0.25, 0.2, 0.26, 0.33, 
## 0.48, 0.41, 0.23, 0.13, -0.18, -0.21, -0.31, -0.18, -0.34, -0.33, 
## -0.26, -0.44, -0.41, -0.28, -0.11, -0.1, 0.03, 0.07, 0.1, 0.07, 
## 0, -0.02, -0.1, -0.15, -0.15, -0.23, -0.2, -0.13, -0.11, -0.16, 
## -0.2, -0.23, -0.92, -1, -0.97, -0.98, -0.95, -1, -1.46, -1.13, 
## -0.62, -0.44, -0.31, -0.34, -0.41, -0.48, -0.51, -0.48, -0.48, 
## -0.48, -0.48, -0.56, -0.57, -0.56, -0.57, -0.61, -0.43, -0.43, 
## -0.39, -0.41, -0.44, -0.46, -0.46, -0.46, -0.43, -0.41, -0.41, 
## -0.41, -0.43, -0.43, -0.02, -0.02, -0.02, 0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, -0.02, 
## 0, 0, -0.02, 0.03, 0.02, -0.02, -0.05, -0.02, -0.02, -0.02, 0.02, 
## 0.48, 0.48, 0.48, 0.39, 0.38, 0.25, 0.11, 0.02, -0.02, -0.03, 
## -0.07, -0.1, -0.11, -0.16, -0.3, -0.33, -0.36, -0.02, -0.02, 
## -0.05, -0.07, 0, -0.02, -0.02, -0.02, -0.03, -0.03, 0.02, 0, 
## 0.02, 0.03, -0.02, 0, -0.03, 0.1, 0.15, 0.2, 0.26, 0.3, 0.33, 
## 0.69, 0.28, 0.07, 0.03, 0.07, -0.03, -0.05, -0.15, 0.26, 0.36, 
## 0.54, 0.46, 0.36, 0.3, 0.16, 0.02, 0.05, 0.03, 0.03, 0.02, -0.1, 
## -0.26, -0.49, -0.51, -0.43, -0.36, -0.33, -0.02, -0.03, -0.03, 
## -0.03, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.03, 0.07, 0.08, 
## 0.08, -0.02, -0.02, -0.02, 0, 0.02, 0, 0, -0.15, 0.05, 0.11, 
## 0.08, 0.03, -0.11, -0.11, -0.05, -0.02, -0.02, -0.03, -0.08, 
## -0.08, -0.07, -0.05, -0.02, 0.02, 0.02, 0.02, 0.03, 0.05, 0.05, 
## 0.05, 0.05, 0, 0, -0.03, -0.05, -0.07, -0.07, -0.05, -0.05, -0.08, 
## -0.07, 0, -0.05, -0.21, -0.18, -0.05, -0.11, -0.36, -0.39, -0.43, 
## -0.44, -0.44, -0.43, -0.44, -0.46, -0.46, -0.46, -0.48, -0.48, 
## -0.39, -0.38, -0.36, -0.64, -0.8, -0.94, -0.95, -0.97, -1.02, 
## -1, -1.03, -0.98, -0.57, -0.56, -0.61, -0.48, -0.46, -0.41, -0.44, 
## -0.43, -0.33, -0.8, -0.9, -0.98, -0.97, -1.02, -0.94, -0.97, 
## -0.57, -0.56, -0.41, -0.28, -0.11, -0.72, -0.79, -0.79, -0.97, 
## -1.2, -0.84, -0.54, -0.49, -0.49, -0.44, -0.46, -0.44, -0.08, 
## 0.18, 0.21, 0.18, 0.15, 0.07, -0.08, -0.21, -0.25, -0.34, -0.34, 
## -0.43, -0.51, 0.59, 0.51, 0.25, 0.11, 0.07, 0.02, -0.13, -0.59, 
## -0.54, -0.44, -0.44, -0.56, -0.54, -0.67, -0.18, -0.2, -0.07, 
## 0.02, 0.05, 0.13, 0.18, 0.52, 0.46, 0.46, 0.49, 0.52, 0.52, -0.05, 
## -0.36, -0.38, -0.39, -0.41, -0.41, -0.44, -0.56, -0.59, -0.52, 
## -0.52, -0.31, -0.16, -0.18, -0.13, 0.02, 0.07, 0.15, 0.18, 0.23, 
## 0.28, 0.43, 0.49, 0.56, 0.59, 0.41, 0.38, 0.34, 0.3, 0.18, 0.1, 
## 0.08, 0.05, 0, -0.07, -0.11, -0.16, -0.43, -0.54, -0.46, -0.67, 
## -0.79, -0.84, -0.43, -0.23, -0.25, -0.28, -0.3, -0.36, -0.54, 
## -0.62, -0.67, -0.67, -0.59, -0.57), accel_belt_x = c(-20, -22, 
## -21, -21, -21, -22, -22, -21, -21, -20, -22, -20, -21, -19, -21, 
## -22, -21, -21, -22, -22, -22, -20, -21, -20, -22, -21, -20, -19, 
## -18, -18, -19, -17, -18, -19, -21, -21, -20, -20, -19, -17, -19, 
## -20, -20, -19, -19, -20, -19, -18, -19, -18, -19, -20, -20, -20, 
## -20, -20, -19, -20, -20, -20, -21, -19, -20, -18, -20, -21, -19, 
## -20, -19, -20, -20, -22, -20, -19, -18, -19, -19, -22, -20, -19, 
## -17, -19, -20, -18, -20, -19, -21, -19, -18, -20, -19, -17, -19, 
## -17, -20, -18, -18, -20, -18, -21, -20, -43, -42, -42, -44, -42, 
## -41, -42, -44, -49, -50, -43, -44, -46, -44, -46, -43, -47, -44, 
## -44, -46, -46, -49, -48, -47, -43, -45, -46, -48, -48, -47, -46, 
## -45, -45, -46, -46, -44, -46, -47, -46, -45, -46, -46, -47, -45, 
## -44, -45, -45, -45, -40, -44, -44, -43, -42, -43, -43, -40, -42, 
## -39, -42, -44, -48, -45, -46, -46, -45, -46, -46, -45, -44, -47, 
## -42, -41, -43, -47, -47, -46, -42, -39, -41, -44, -44, -42, -46, 
## -43, -39, -41, -39, -37, -38, -37, -35, -33, -34, -38, -39, -42, 
## -42, -43, -38, -42, -39, -41, -41, -42, -39, -42, -40, -40, -40, 
## -41, -40, -43, -42, -44, -43, -41, -42, -42, -44, -44, -43, -40, 
## -40, -42, -42, -42, -37, -40, -38, -42, -43, -41, -40, -40, -41, 
## -40, -45, -41, -42, -43, -42, -40, -40, -35, -40, -35, -41, -40, 
## -40, -40, -40, -42, -46, -44, -42, -41, -41, -39, -40, -40, -41, 
## -41, -43, -40, -41, -40, -43, -43, -42, -40, -36, -43, -43, -43, 
## -45, -39, -35, -33, -36, -36, -44, -43, -41, -42, -44, -40, -36, 
## -38, -35, -44, -43, -40, -40, -42, -40, -40, -42, -38, -39, -41, 
## -41, -44, -44, -45, -44, -44, -41, -43, -41, -39, -43, -44, -43, 
## -37, -43, -41, -41, -38, -37, -40, -42, -41, -41, -40, -42, -41, 
## -40, -42, -43, -44, -38, -37, -35, -35, -37, -35, -36, -38, -42, 
## -44, -43, -43, -42, -43, -42, -41, -40, -41, -36, -39, -40, -39, 
## -41, -41, -44, -43, -39, -42, -40, -42, -43, -42, -43, -42, -43, 
## -37, -38, -37, -43, -44, -42, -42, -42, -41, -38, -39, -42, -41, 
## -42, -43, -40, -41, -41, -42, -45, -41, -39, -41, -36, -38, -44, 
## -39, -41, -42, -40, -43, -41, -45, -40, -42, -39, -42, -42, -41, 
## -41, -41, -42, -41, -44, -43, -42, -44, -42, -40, -42, -42, 52, 
## 47, 54, 57, 45, 50, 51, 54, 40, 38, 71, 50, 53, 53, 50, 46, 45, 
## 42, 44, 46, 42, 43, 46, 45, 46, 45, 46, 44, 44, 45, 47, 48, 48, 
## 47, 47, 47, 47, 47, 48, 49, 48, 48, 49, 48, 48, 46, 46, 46, 48, 
## 47, 46, 47, 47, 48, 44, 47, 44, 46, 46, 45, 45, 47, 46, 46, 47, 
## 48, 45, 46, 45, 45, 45, 46, 45, 46, 48, 47, 45, 46, 46, 46, 46, 
## 45, 46, 47, 46, 46, 45, 45, 45, 46, 45, 45, 45, 47, 45, 47, 45, 
## 46, 46, 47, 46, 46, 48, 47, 45, 45, 46, 45, 46, 47, 47, 44, 43, 
## 43, 42, 43, 43, 46, 48, 47, 49, 49, 48, 45, 45, 45, 44, 45, 45, 
## 44, 43, 42, 49, 45, -24, -24, -25, -25, -24, -24, -25, -20, -25, 
## -21, -26, -23, -26, 44, 45, 45, 46, 45, 45, 44, 44, 33, 20, 26, 
## 37, 40, 45, 50, 59, 62, 49, 49, 41, 48, 51, 48, 49, 45, 47, 46, 
## 43, 45, 48, 43, 56, 49, 49, 50, 50, 48, 45, 43, 43, 52, 52, 50, 
## 41, 47, 48, 52, 54, 55, 53, 51, 51, 53, 47, 49, 49, 50, 52, 49, 
## 47, 50, 41, 51, 46, 45, 46, 47, 45, 46, 47, 50, 51, 50, 51, 53, 
## 53, 55, 62, 61, 62, 63, 57, 55, 38, 35, 26, 25, 35, 37, 53, 48, 
## 51, 52, 56, 56, 50, 48, 55, 57, 55, 52, 49, 51, 51, 53, 53, 52, 
## 49, 50, 44, 44, 44, 44, 44, 50, 50, 48, 48, 46, 46, 47, 46, 46, 
## 49, 49, 47, 46, 47, 47, 46, 48, 50, 47, 47, 45, 46, 47, 48, 48, 
## 50, 48, 49, 47, 47, 44, 45, 50, 47, 48, 50, 49, 48, 47, 45, 46, 
## 49, 49, 48, 48, 48, 47, 49, 47, 48, 50, 50, 51, 49, 47, 44, 45, 
## 46, 48, 52, 50, 48, 46, 50, 48, 48, 48, 45, 47, 49, 47, 47, 47, 
## 45, 46, 46, 47, 47, 49, 49, 50, 49, 49, 47, 49, 49, 46, 49, 45, 
## 47, 48, 47, 47, 49, 49, 51, 47, 47, 48, 45, 49, 50, 48, 46, 48, 
## 49, 51, 50, 49, 48, 48, 47, 46, 44, 49, 49, 49, 48, 45, 45, 50, 
## 51, 45, 47, 49, 51, 49, 51, 50, 49, 48, 47, 45, 44, 45, 46, 50, 
## 48, 51, 49, 52, 48, 45, 49, 48, 48, 48, 47, 48, 47, 49, 50, 50, 
## 50, 47, 49, 46, 45, 49, 48, 47, 50, 50, 49, 48, 48, 49, 48, 50, 
## 50, 50, 46, 51, 50, 48, 47, 47, 45, 48, 49, 51, 52, 49, 50, 48, 
## 48, 50, 50, 47, 47, 49, 51, 49, 48, 48, 47, 49, 49, 49, 49, 51, 
## 48, 47, 48, 46, 51, 48, 49, 50, 47, 48, 46, 47, 50, 48, 48, 51, 
## 51, 49, 48, 46, 48, 50, 48, 51, 51, 47, 47, 47, 47, 45, 51, 49, 
## 51, 48, 47, 49, 49, 49, 46, 47, 49, 47, 49, 51, 49, 47, 47, 47, 
## 49, 49, 50, 49, 48, 52, 52, 51, 47, 44, 47, 49, 50, 51, 52, 50, 
## 50, 48, 49, 49, 47, 46, 45, 47, 47, 50, 49, 49, 47, 46, 46, 47, 
## 51, 52, 51, 49, 50, 50, 49, 47, 48, -12, -11, -8, -9, -9, -13, 
## -15, -16, -18, -14, -12, -11, -11, -13, -11, -11, -12, -11, -12, 
## -12, -9, -13, -9, -11, -9, -10, -11, -11, -11, -11, -13, -11, 
## -9, -13, -13, -14, -15, -9, -12, -13, -11, -13, -14, -10, -12, 
## -10, -10, -10, -8, -5, -7, -12, -11, -12, -11, -6, -8, -8, -12, 
## -10, -10, -7, -9, -9, -9, -10, -11, -10, -12, -7, -8, -7, -10, 
## -12, -14, -15, -12, -10, -9, -8, -8, -7, -7, -7, -8, -7, -7, 
## -7, -6, -10, -7, -7, -7, -9, -9, -7, -6, -6, -11, -11, -12, -10, 
## -8, -9, -10, -9, -7, -9, -8, -10, -10, -9, -9, -7, -10, -9, -7, 
## -8, -11, -9, -6, -4, -9, -11, -15, -17, -14, -9, -10, -9, -8, 
## -13, -11, -9, -11, -14, -12, -8, -7, -9, -10, -7, -7, -9, -8, 
## -9, -10, -7, -7, -8, -10, -8, -12, -12, -9, -8, -9, -8, -6, -9, 
## -6, -9, -7, -11, -11, -8, -10, -10, -9, -12, -10, -9, -8, -10, 
## -9, -8, -9, -9, -7, -5, -8, -13, -14, -14, -8, -10, -11, -8, 
## -8, -7, -7, -5, -8, -7, -6, -8, -9, -9, -11, -10, -11, -6, -7, 
## -8, -8, -7, -8, -8, -10, -10, -9, -11, -8, -7, -9, -9, -8, -11, 
## -10, -5, -3, -6, -14, -11, -11, -8, -8, -10, -10, -8, -10, -8, 
## -7, -5, -7, -10, -9, -7, -8, -9, -11, -10, -9, -9, -11, -10, 
## -8, -9, -9, -8, -6, -8, -9, -8, -8, -7, -8, -7, -9, -10, -10, 
## -9, -6, -3, -3, -3, -4, -12, -12, -9, -9, -8, -7, -7, -6, -6, 
## -6, -6, -7, -9, -10, -8, -8, -5, -6, -4, -5, -9, -10, -8, -9, 
## -9, -8, -9, -8, -7, -8, -7, -8, -8, -7, -8, -8, -7, -7, -7, -10, 
## -9, -7, -7, -10, -9, -6, -6, -9, -9, -8, -9, -9, -8, -7, -9, 
## -10, -7, -11, -13, -14, -13, -8, -9, -7, -8, -10, -9, -5, -4, 
## -5, -11, -6, -4, -7, -11, -10, -9, -6, -7, -7, -7, -7, -7, -7, 
## -6, -7, -12, -14, -11, -10, -6, -14, -10, -5, -7, -7, -15, -7, 
## -6, -6, -4, -5, -5, -5, -11, -9, -17, -16, -16, -15, -16, -15, 
## -15, -15, -16, -14, -16, -15, -14, -15, -16, -16, -14, -14, -15, 
## -15, -17, -16, -16, -14, -14, -14, -14, -16, -16, -20, -14, -14, 
## -13, -13, -13, -14, -16, -18, -15, -17, -15, -18, -13, -13, -16, 
## -19, -16, -15, -14, -17, -15, -14, -14, -15, -16, -15, -13, -14, 
## -15, -15, -16, -14, -15, -15, -16, -16, -14, -12, -12, -12, -15, 
## -18, -13, -13, -27, -22, -21, -15, -13, -12, -13, -12, -12, -19, 
## -21, -20, -18, -18, -16, -18, -19, -13, -14, -17, -15, -18, -19, 
## -20, -15, -17, -17, -14, -14, -15, -14, -15, -16, -17, -14, -18, 
## -17, -13, -14, -16, -15, -16, -17, -16, -15, -16, -17, -17, -15, 
## -15, -14, -12, -9, -13, -18, -21, -19, -14, -12, -14, -16, -15, 
## -14, -13, -15, -15, -14, -14, -15, -16, -16, -16, -16, -17, -17, 
## -15, -15, -16, -14, -17, -14, -17, -17, -14, -15, -16, -17, -15, 
## -14, -15, -15, -19, -14, -14, -15, -13, -17, -17, -15, -16, -15, 
## -17, -15, -15, -14, -15, -16, -14, -16, -15, -15, -15, -16, -15, 
## -14, -15, -16, -15, -15, -16, -15, -15, -16, -15, -17, -13, -15, 
## -16, -15, -16, -16, -13, -19, -15, -16, -15, -17, -13, -22, -23, 
## -20, -20, -17, -16, -19, -21, -18, -19, -17, -23, -21, -16, -16, 
## -19, -17, -17, -19, -22, -17, -18, -19, -19, -18, -18, -16, -18, 
## -17, -17, -18, -17, -20, -18, -21, -21, -23, -19, -19, -23, -22, 
## -20, -18, -16, -19, -22, -22, -24, -20, -18, -21, -21, -19, -21, 
## -18, -20, -18, -19, -20, -17, -19, -20, -19, -17, -18, -16, -18, 
## -17, -19, -17, -17, -13, -18, -19, -21, -22, -22, -16, -24, -22, 
## -20, -19, -18, -18, -22, -20, -22, -21, -22, -22, -15, -16, -22, 
## -22, -16, -19, -21, -16, -17, -21, -16, -14, -16, -18, -20, -21, 
## -20, -17, -19, -18, -17, -18, -19, -19, -18, -21, -20, -14, -14, 
## -12, -18, -22, -23, -21, -22, -22, -19, -22, -21, -17, -22, -22, 
## -15, -17, -20, -20, -16, -18, -13, -27, -24, -21, -18, -19, -19, 
## -23, -22, -20, -12, -18, -20, -19, -20, -19, -20, -12, -14, -18, 
## -23, -21, -22, -23, -21, -12, -13, -18, -11, -23, -20, -19, -16, 
## -19, -23, -19, -20, -19, -15, -19, -17, -16, -15, -18, -20, -17, 
## -17, -17, -19, -20, -17, -10, -24, -24, -26, -21, -19, -19, -20, 
## -18, -19, -11, -22, -11, -16, -19, -15, -21, -18, -19, -21, -14, 
## -18, -20, -23, -21, -19, -19, -17, -21, -19, -20, -18, -18, -21, 
## -23, -23, -18, -17, -19, -19, -21, -17, -19, -21, -19, -19, -19, 
## -17, -21, -22, -23, -26, -18, -21, -21, -14, -19, -18, -23, -22, 
## -23, -19, -17, -20, -19, -20, -17, -23, -19, -20, -20, -23, -20, 
## -19, -17, -21, -22, -22, -18, -11, -22, -26, -24, -22, -18, -19, 
## -18, -21, -21, -19, -24, -20, -24, -10, -17, -20, -20, -22, -14, 
## -21, -26, -24, -23, -21, -21, -19, -19, -22, -21, -22, -22, -18, 
## -20, -20, -16, -20, -18, -18, -19, -20, -23, -20, -26, -21, -19, 
## -19, -20, -22, -19, -22, -19, -21, -23, -19, -20, -17, -19, -16, 
## -18, -18, -19, -20, -20, -20, -20, -22, -22, -20, -21, -20, -20, 
## -21, -19, -19, -21, -21, -20, -19, -20, -21, -21, -19, -21, -19, 
## -21, -20, -21, -22, -19, -20, -21, -21, -20, -21, -20, -22, -20, 
## -19, -20, -21, -20, -19, -18, -19, -19, -20, -15, -14, -15, -16, 
## -15, -16, -15, -14, -15, -16, -15, -15, -17, -16, -15, -15, -16, 
## -15, -14, -15, -15, -16, -17, -14, -14, -15, -14, -14, -15, -17, 
## -16, -17, -17, -16, -16, -17, -16, -11, -15, -20, -13, -14, -13, 
## -20, -13, -12, -14, -17, -19, -25, -12, -15, -14, -13, -16, -20, 
## -16, -15, -18, -15, -15, -15, -16, -16, -16, -17, -15, -16, -17, 
## -15, -23, -23, -10, -16, -25, -24, -24, -22, -21, -12, -18, -24, 
## -16, -13, -14, -15, -18, -17, -17, -18, -16, -15, -19, -20, -16, 
## -15, -17, -20, -11, -10, -12, -14, -16, -21, -18, -15, -15, -16, 
## -16, -15, -14, -16, -15, -17, -17, -17, -18, -14, -14, -14, -13, 
## -15, -16, -11, -9, -14, -11, -14, -14, -13, -19, -16, -19, -18, 
## -14, -11, -12, -13, -13, -25, -24, -15, -15, -12, -14, -16, -13, 
## -11, -9, -8, -11, -11, -15, -12, -11, -13, -9, -7, -16, -12, 
## -17, -13, -16, -15, -16, -17, -15, -17, -14, -13, -12, -11, -13, 
## -13, -4, -22, -23, -20, -12, -13, -15, -16, -14, -12, -11, -12, 
## -12, -15, -12, -10, -22, -18, -11, -21, -17, -13, -11, -14, -13, 
## -12, -13, -15, -14, -11, -12, -13, -14, -8, -8, -10, -11, -10, 
## -12, -17, -17, -16, -13, -14, -13, -13, -10, -9, -32, -12, -12, 
## -8, -4, -5, -11, -10, -12, -14, -17, -14, -17, -16, -13, -13, 
## -9, -8, -12, -12, -11, -5, -3, -11, -11, -12, -13, -13, -17, 
## -17, -7, -13, -15, -17, -7, -4, -1, -10, -9, -8, -10, -14, -9, 
## -19, -19, -17, -17, -13, -9, -11, -8, -18, -9, -14, -19, -14, 
## -15, -17, -15, -12, -10, -9, -12, -13, -10, -10, -13, -13, -13, 
## -16, -13, -11, -12, -12, -9, -5, -8, -9, -18, -17, -14, -14, 
## -13, -11, -12, -13, -15, -15, -12, -12, -11, -7, -13, -15, -12, 
## -12, -13, -19, -13, -13, -11, -9, -14, -14, -14, -13, -14, -13, 
## -15, -15, -19, -18, -9, -10, -12, -15, -16, -22, -25, -14, -15, 
## -13, -15, -17, -19, -24, -23, -24, -19, -14, -13, -10, -12, -24, 
## -20, -13, -13, -15, -14, -15, -12, -12, -15, -12, -14, -12, -13, 
## -14, -16, -14, -12, -13, -12, -13, -16, -13, -13, -20, -19, -17, 
## -15, -12, -4, -17, -10, -16, -18, -15, -12, -11, -10, -12, -13, 
## -14, -14, -14, -13, -17, -22, -14, -15, -15, -16, -9, -15, -21, 
## -15, -13, -13, -13, -7, -3, -12, -17, -18, -18, -18, -9, -9, 
## -8, -9, -11, -16, -21, -14, -10, -9, -12, -13, -16, -16, -11, 
## -15, -2, 0, -16, -14, -20, -15, -12, -12, -11, -7, -11, -10, 
## -12, -14, -12, -12, -13, -13, -14, -13, -14, -13, -12, -14, -13, 
## -15, -13, -13, -13, -13, -12, -16, -11, -12, -10, -8, -11, -12, 
## -12, -10, -9, -9, -11, -8, -12, -11, -9, -12, -11, -10, -11, 
## -11, -11, -13, -14, -16, -13, 49, 51, 51, 49, 47, 49, 49, 50, 
## 49, 47, 51, 49, 46, 45, 46, 48, 51, 48, 50, 48, 46, 47, 47, 48, 
## 48, 49, 48, 52, 49, 46, 50, 50, 49, 48, 48, 49, 49, 47, 48, 49, 
## 49, 49, 50, 49, 49, 47, 47, 48, 50, 50, 49, 49, 48, 48, 46, 46, 
## 48, 48, 48, 45, 45, 49, 49, 50, 47, 47, 48, 48, 48, 50, 47, 45, 
## 52, 51, 47, 46, 48, 48, 48, 47, 49, 52, 47, 49, 48, 48, 44, 43, 
## 48, 49, 48, 49, 50, 47, 47, 49, 49, 48, -64, -64, -63, -61, -61, 
## -64, -63, -64, -63, -63, -65, -64, -63, -64, -64, -65, -37, -32, 
## -17, -19, -25, -57, -64, -52, -13, -15, -33, -19, -12, -24, -31, 
## -26, -27, -29, -30, -32, -29, -29, -30, -30, -30, -29, -30, -27, 
## -28, -28, -26, -26, -34, -26, -40, -15, -15, -16, -15, -15, -11, 
## -11, -12, -12, -12, -18, -18, -19, -18, -17, -18, -19, -19, -25, 
## -24, -24, -21, -25, -27, -32, -33, -31, -31, -30, -29, -24, -24, 
## -26, -25, -19, -18, -16, -22, -17, -19, -19, -24, -19, -17, -20, 
## -18, -15, -19, -21, -22, -22, -23, -22, -22, -20, -25, -21, -22, 
## -23, -24, -22, -23, -26, -27, -29, -28, -29, -30, -27, -26, -25, 
## -26, -25, -29, -24, -29, -30, -24, -23, -18, -23, -23, -23, -18, 
## -20, -24, -25, -22, -27, -26, -24, -23, -21, -21, -27, -26, -19, 
## -22, -23, -23, -26, -27, -25, -25, -27, -22, -27, -29, -24, -28, 
## -28, -27, -23, -21, -24, -32, -21, -25, -25, -26, -26, -22, -21, 
## -14, -23, -24, -25, -25, -28, -21, -22, -23, -22, -23, -25, -21, 
## -20, -24, -24, -32, -24, -17, -19, -22, -25, -24, -23, -23, -25, 
## -22, -22, -21, -27, -29, -30, -20, -25, -24, -27, -26, -29, -28, 
## -25, -24, -24, -27, -25, -24, -23, -25, -22, -24, -27, -19, -19, 
## -24, -19, -17, -23, -26, -22, -20, -24, -19, -21, -18, -22, -22, 
## -24, -24, -22, -23, -25, -25, -23, -20, -22, -23, -25, -24, -24, 
## -18, -21, -21, -21, -22, -19, -23, -25, -21, -20, -20, -21, -26, 
## -25, -27, -24, -22, -24, -22, -23, -19, -26, -23, -18, -17, -18, 
## -22, -20, -15, -21, -20, -24, -23, -28, -26, -23, -22, -17, -20, 
## -24, -22, -21, -25, -22, -21, -16, -22, -19, -23, -22, -22, -22, 
## -23, -22, -22, -19, -13, -16, -16, -20, -18, -23, -17, -22, -18, 
## -18, -21, -20, -23, -20, -19, -17, -21, -20, -21, -21, -20, -22, 
## -26, -22, -26, -25, -26, -24, -19, -20, -20, -19, -20, -20, -22, 
## -20, -21, -25, -18, -24, -19, -19, -18, -26, -18, -20, -20, -18, 
## -21, -20, -20, -25, -24, -23, -22, -19, -21, -21, -19, -22, -22, 
## -26, -24, -24, -24, -24, -26, -24, -22, -25, -25, -30, -25, -25, 
## -25, -26, -23, -22, -22, -22, -28, -20, -23, -25, -21, -26, -29, 
## -28, -26, -25, -25, -20, -19, -23, -23, -22, -26, -23, -24, -24, 
## -26, -24, -20, -22, -23, -21, -22, -28, -26, -24, -29, -25, -24, 
## -25, -25, -26, -23, -22, -23, -25, -22, -19, -22, -25, -25, -25, 
## -23, -24, -24, -23, 49, 46, 47, 47, 49, 45, 50, 52, 48, 48, 47, 
## 50, 51, 47, 49, 49, 47, 48, 48, 47, 49, 49, 46, 46, 48, 47, 47, 
## 47, 49, 52, 53, 52, 52, 51, 47, 47, 48, 48, 49, 49, 49, 49, 50, 
## 51, 52, 51, 50, 49, 50, 49, 48, 47, 47, 48, 50, 47, 48, 50, 49, 
## 48, 52, 49, 48, 51, 49, 47, 45, -25, -26, -30, -30, -28, -17, 
## -23, -28, -25, -24, -25, -25, -26, -27, -23, -24, -23, -24, -22, 
## -25, -23, -23, -24, -24, -22, -21, -21, -22, -23, -25, -27, -25, 
## -20, -26, -28, -23, -26, -23, -19, -27, -21, -19, -23, -22, -24, 
## -27, -22, -19, -17, -16, -23, -17, -16, -17, -20, -25, -25, -26, 
## -24, -22, -22, -24, -21, -23, -24, -19, -24, -24, -25, -24, -63, 
## -66, -63, -64, -42, -44, -46, -37, -16, -15, -24, -27, -25, -12, 
## -15, -14, -14, -14, -17, -14, -13, -16, -15, -14, -13, -15, -16, 
## -15, -14, -14, -11, -15, -15, -16, -14, -16, -15, -14, -15, -16, 
## -19, -17, -18, -15, -13, -11, -14, -16, -11, -8, -9, -7, -8, 
## -8, -7, -3, -4, -8, -15, -15, -7, -14, -14, -11, -10, -6, -6, 
## -9, -7, -11, -8, -6, -6, -5, -5, -13, -14, -10, -9, -9, -12, 
## -12, -7, -7, -10, -8, -9, -11, -10, -11, -8, -8, -9, -10, -9, 
## -11, -9, -8, -8, -10, -12, -10, -9, -8, -9, -10, -10, -11, -12, 
## -14, -10, -8, -9, -8, -8, -11, -10, -11, -11, -10, -9, -9, -10, 
## -12, -10, -13, -13, -13, -8, -10, -17, -13, -9, -7, -16, -10, 
## -12, -12, -15, -15, -14, -13, -14, -12, -7, -5, -7, -10, -11, 
## -16, -11, -13, -11, -10, -10, -13, -12, -12, -12, -12, -11, -13, 
## -13, -12, -12, -12, -10, -12, -13, -12, -13, -11, -12, -13, -11, 
## -11, -13, -14, -13, -10, -13, -16, -39, -37, -34, -33, -34, -42, 
## -43, -43, -42, -48, -44, -40, -41, -40, -42, -44, -40, -39, -42, 
## -40, -38, -35, -31, -41, -44, -37, -37, -36, -39, -43, -44, -45, 
## -42, -40, -40, -41, -44, -41, -42, -41, -38, -38, -41, -42, -42, 
## -40, -42, -41, -39, -42, -40, -43, -44, -39, -37, -50, -45, -12, 
## -19, -19, -20, -22, -20, -23, -23, -22, -23, -20, -19, -15, -18, 
## -20, -20, -43, -40, -40, -39, -40, -44, -46, -42, -44, -43, -39, 
## -37, -40, -41, -34, -38, -44, -44, -45, -41, -52, -51, -39, -41, 
## -44, -46, -40, -45, -40, -42, -43, -44, -45, -42, -41, -39, -41, 
## -43, -43, -42, -43, -40, -36, -32, -30, -30, -40, -45, -43, -46, 
## -48, -45, -42, -39, -41, -47, -45, -41, -34, -43, -38, -36, -39, 
## -34, -32, -25, -46, -40, -40, -44, -48, -46, -41, -41, -45, -44, 
## -45, -37, -38, -39, -35, -44, -41, -45, -42, -41, -42, -40, -41, 
## -36, -44, -48, -48, -38, -41, -34, -32, -31, -31, -34, -38, -41, 
## -37, -40, -33, -30, -43, -42, -40, -39, -42, -39, -39, -39, -40, 
## -40, -44, -43, -36, -35, -41, -43, -43, -37, -52, -49, -43, -42, 
## -36, -36, -44, -42, -47, -46, -39, -34, -34, -37, -41, -45, -42, 
## -42, -32, -44, -42, -42, -44, -44, -41, -42, -39, -35, -41, -41, 
## -42, -46, -42, -38, -35, -36, -41, -37, -39, -42, -40, -46, -48, 
## -46, -43, -39, -37, -42, -43, -44, -37, -43, -40, -38, -38, -42, 
## -41, -40, -38, -36, -33, -30, -29, -26, -31, -34, -40, -48, -39, 
## -43, -35, -41, -37, -40, -39, -47, -47, -49, -53, -45, -43, -42, 
## -36, -37, -37, -35, -40, -45, -47, -45, -38, -42, -39, -39, -42, 
## -42, -41, -40, -42, -40, -40, -32, -32, -36, -39, -43, -40, -47, 
## -51, -48, -45, -41, -36, -39, -39, -40, -42, -43, -29, -33, -35, 
## -40, -37, -38, -20, -9, -8, -8, -10, -8, -6, -5, -2, -5, -7, 
## -7, -6, -6, -8, -7, -6, -6, -6, -5, -4, -5, -6, -7, -7, -2, -7, 
## -8, -11, -13, -10, -6, -6, -6, -7, -11, -8, -8, -6, -10, -9, 
## -9, -6, -5, -6, -7, -9, -14, -9, -10, -11, -8, -7, -4, -5, -7, 
## -7, -7, -6, -8, -7, -6, -7, -7, -6, -6, -4, -6, -14, -14, -7, 
## -6, -6, -3, -6, -7, -7, -8, -4, -6, -6, -7, -3, -4, -5, -7, -7, 
## -6, -7, -5, -5, -3, -6, -8, -7, -7, -7, -2, -10, -11, -5, -5, 
## -8, -5, -5, -6, -10, -3, -5, -4, -6, -6, -7, -4, -4, -15, -8, 
## -1, -9, -7, -9, -10, -10, -12, -3, -7, -8, -11, -11, -9, -8, 
## -5, -4, -8, -7, -6, -8, -10, -6, -2, -6, -4, -6, -8, -8, -9, 
## -10, -8, -5, -4, -7, -11, -6, -2, -3, -8, -7, -6, -7, -9, -8, 
## -8, -7, -7, -5, -6, -5, -5, -6, -8, -6, -3, -8, -7, -6, -5, -2, 
## -3, -6, -9, -9, -5, -2, -3, -6, -5, -1, 0, 1, -17, -10, -9, -6, 
## 2, -2, -3, -5, -7, -6, -8, -5, -5, -6, -6, -7, -7, -5, -4, -6, 
## -6, -3, -7, -9, -9, -7, -8, -7, -9, -12, -7, -6, -4, -9, -11, 
## -8, -6, -4, -3, -7, -7, -14, -13, -7, -6, -7, -4, -6, -8, -8, 
## -9, -10, -11, -7, -7, -6, -6, -4, -9, -10, -4, -5, -6, -8, -10, 
## -6, -5, -7, -4, -2, -5, -5, -4, -8, -4, -3, -6, -7, -8, -7, -7, 
## -2, -4, -5, -6, -5, -6, -7, -8, -7, -19, -14, -22, -21, -21, 
## -19, -18, -21, -20, -18, -18, -15, -15, -16, -17, -17, -18, -19, 
## -18, -19, -19, -17, -16, -17, -17, -18, -18, -21, -18, -21, -19, 
## -18, -15, -13, -15, -19, -21, -23, -17, -21, -23, -21, -20, -18, 
## -18, -16, -16, -15, -17, -17, -11, -13, -17, -16, -12, -21, -22, 
## -16, -18, -13, -18, -17, -15, -13, -18, -17, -18, -20, -17, -23, 
## -13, -16, -14, -15, -10, -18, -20, -17, -19, -22, -22, -14, -12, 
## -14, -18, -18, -15, -16, -14, -16, -15, -21, -17, -17, -18, -16, 
## -17, -14, -14, -16, -16, -14, -19, -16, -18, -16, -21, -19, -18, 
## -19, -20, -16, -15, -17, -16, -17, -18, -21, -21, -19, -19, -19, 
## -18, -14, -13, -16, -16, -22, -12, -21, -19, -20, -19, -17, -16, 
## -18, -18, -18, -18, -15, -16, -18, -17, -17, -18, -16, -17, -18, 
## -18, -18, -16, -16, -16, -15, -17, -17, -14, -18, -21, -21, -21, 
## -10, -17, -19, -21, -17, -14, -15, -16, -19, -16, -16, -17, -15, 
## -15, -17, -20, -22, -24, -23, -17, -16, -18, -14, -14, -13, -19, 
## -13, -16, -20, -19, -18, -16, -22, -23, -15, -15, -16, -15, -15, 
## -17, -17, -16, -15, -11, -25, -19, -17, -19, -15, -14, -18, -21, 
## -19, -14, -15, -23, -22, -19, -11, 4, -25, -18, -19, -17, -17, 
## -18, -20, -20, -16, -17, -11, -18, -18, -13, -16, -16, -11, -18, 
## -18, -18, -15, -14, -15, -16, -16, -13, -15, -12, -12, -14, -12, 
## -18, -16, -15, -15, -13, -12, -11, -12, -9, -12, -15, -13, -12, 
## -14, -12, -7, -9, -7, -13, -16, -16, -7, -12, -15, -16, -12, 
## -11, -11, -18, -15, -16, -14, -14, -11, -9, -9, -12, -12, -10, 
## -13, -7, -13, -14, -11, -10, -14, -17, -15, -14, -8, -7, 0, -6, 
## -13, -15, -14, -21, -15, -20, -8, -13, -13, -9, -16, -8, -11, 
## -10, -13, -13, -11, -7, -4, -17, -16, -10, -14, -21, -8, -7, 
## -13, -14, -13, -11, -11, 1, -13, -13, -17, -18, -18, -19, -14, 
## -9, -7, -12, -13, -16, -14, -14, -14, -13, -12, -13, -12, -16, 
## -15, -8, -7, -6, -11, -7, -10, -13, -10, -15, -26, -27, -21, 
## -14, -10, -11, -9, -18, -15, -11, -8, -13, -10, -8, -12, -13, 
## -14, -12, -7, -4, -14, -10, -9, -12, -22, -9, -11, -12, -11, 
## -8, -7, -4, -11, -14, -15, -23, -13, -15, -8, -6, -2, 5, -3, 
## -24, -29, -15, -15, -12, -13, 3, -14, -16, -16, -3, -8, -6, -9, 
## -13, -10, -11, -7, -7, -22, -8, -3, -14, -14, -14, -13, -10, 
## -12, -3, -4, -7, -8, -14, -10, -7, -8, -6, 0, -6, -17, -26, -26, 
## -14, 2, -7, -18, -23, -8, -15, -12, -2, -6, -3, -9, -8, 0, -1, 
## -10, -13, -12, -11, -17, -26, -18, -9, -8, -11, -9, -14, -14, 
## -16, -18, -15, -13, -13, -13, -14, -18, -19, -16, 49, 53, 53, 
## 47, 48, 44, 44, 52, 51, 52, 52, 52, 56, 48, 49, 49, 48, 51, 56, 
## 56, 53, 47, 49, 52, 50, 47, 49, 54, 53, 51, 49, 50, 48, 48, 51, 
## 54, 52, 52, 50, 50, 52, 51, 52, 50, 50, 51, 51, 51, 47, 51, 52, 
## 52, 48, 49, 51, 50, 48, 51, 49, 54, 55, 51, 52, 52, 56, 52, 48, 
## 47, 55, 53, 48, 50, 54, 51, 48, 48, 51, 51, 50, 51, 51, 49, 53, 
## 49, 50, 49, 48, 46, 49, 52, 52, 53, 48, 50, 51, 54, 50, 51, 48, 
## 49, 53, 49, 48, 49, 52, 52, 52, 53, 51, 54, 45, 46, 51, 47, 49, 
## 52, 51, 51, 48, 47, 50, 52, 53, 49, 50, 50, 50, 49, 50, 51, 49, 
## 49, 50, 51, 51, 50, 49, 52, 53, 50, 47, 50, 49, 51, 51, 50, 50, 
## 53, 48, 47, 49, 47, 48, 51, 51, 49, 50, 49, 50, 51, 52, 49, 48, 
## 48, 49, 49, 51, 51, 51, 49, 49, 48, 52, 51, 49, 48, 48, 54, 50, 
## 50, 50, 51, 49, 47, 50, 52, 53, 53, 53, 52, 50, 50, 50, 51, 51, 
## 49, 49, 50, 51, 52, 53, 53, 52, 48, 48, 51, 51, 49, 50, 52, 52, 
## 51, 50, 50, 48, 48, 50, 48, 50, 51, 52, 49, 49, 50, 53, 49, 48, 
## 49, 47, 47, 50, 49, 54, 54, 55, 53, 52, 51, 50, 52, 50, 52, 53, 
## 52, 51, 52, 49, 43, 46, 54, 59, 54, 55, 55, 56, 60, 54, 54, 47, 
## 48, 54, 48, 60, 56, 52, 59, 51, 45, 47, 52, 54, 46, 46, 49, 50, 
## 52, 47, 45, 50, 41, 31, 34, 32, 26, 29, 35, 37, 30, 41, 49, 62, 
## 59, 60, 59, 56, 56, 50, 52, 53, 47, 47, 50, 51, 47, 42, 40, 44, 
## 45, 42, 52, 52, 50, 50, 52, 53, 49, 49, 51, 52, 47, 48, 48, 51, 
## 48, 45, 53, 54, 51, 53, 52, 50, 51, 51, 51, 48, 49, 49, 50, 50, 
## 50, 53, 50, 50, 54, 53, 49, 48, 49, 49, 47, 47, 53, 51, 50, 51, 
## 51, 52, 52, 50, 50, 49, 53, 49, 48, 49, 51, 53, 49, 49, 50, 47, 
## 53, 52, 48, 47, 48, 44, 42, 54, 48, 49, 47, 50, 51, 53, 51, 48, 
## 51, 51, 52, 57, 48, 46, 45, 45, 43, 50, 52, 50, 53, 56, 58, 57, 
## 58, 53, -23, -22, -20, -26, -24, -19, -24, -19, -19, -26, -27, 
## -31, -26, -19, -18, -17, -19, -22, -21, -24, -23, -23, -32, -30, 
## -23, -24, -19, -18, -20, -22, -27, -27, -19, -18, -22, -21, -21, 
## -20, -21, -23, -26, -25, -23, -24, -22, -19, -21, -20, -22, -18, 
## -22, -21, -21, -20, -19, -18, -20, -21, -24, -26, -22, -21, -20, 
## -21, -21, -21, -24, -23, -20, -23, -25, -28, -20, -19, -18, -17, 
## -22, -22, -18, -22, -22, -20, -22, -27, -21, -22, -20, -21, -18, 
## -22, -23, -22, -21, -20, -17, -15, -25, -22, -24, -21, -23, -18, 
## -17, -23, -23, -24, -22, -24, -26, -24, -25, -24, -27, -25, -21, 
## -22, -24, -22, -22, -23, -22, -19, -17, -15, -13, -14, -16, -15, 
## -15, -19, -23, -22, -22, -22, -21, -21, -22, -23, -24, -21, -23, 
## -21, -24, -19, -21, -22, -24, -25, -23, -21, -24, -23, -20, -19, 
## -21, -21, -24, -24, -22, -21, -22, -22, -24, -23, -22, -25, -24, 
## -23, -19, -19, -22, -23, -21, -22, -20, -21, -20, -20, -22, -21, 
## -19, -20, -23, -23, -22, -21, -22, -22, -23, -20, -21, -20, -22, 
## -21, -22, -23, -22, -22, -22, -25, -22, -22, -19, -20, -20, -26, 
## -27, -26, -22, -22, -22, -23, -21, -23, -20, -21, -24, -30, -27, 
## -25, -21, -21, -19, -20, -20, -19, -20, -20, -15, -20, -18, -19, 
## -20, -22, -26, -24, -22, -20, -19, -19, -20, -21, -21, -17, -17, 
## -19, -26, -25, -24, -26, -25, -23, -21, -18, -21, -19, -20, -22, 
## -20, -20, -16, -13, -16, -18, -18, -17, -20, -17, -22, -21, -20, 
## -16, -16, -18, -19, -20, -20, -23, -21, -21, -19, -21, -22, -23, 
## -21, -17, -18, -19, -19, -19, -22, -22, -21, -20, -4, -18, -19, 
## -18, -17, -18, -17, -17, -20, -19, -21, -26, -28, -25, -20, -19, 
## -16, -17, -17, -18, -18, -21, -28, -25, -23, -23, -23, -22, -21, 
## -20, -19, -16, -17, -20, -22, -22, -22, -20, -21, -19, -19, -18, 
## -20, -17, -19, -17, -17, -21, -21, -21, -19, -19, -16, -16, -16, 
## -21, -18, -21, -22, -22, -21, -22, -19, -18, -19, -19, -18, -18, 
## -18, -17, -17, -16, -19, -19, -21, -24, -23, -19, -21, -19, -18, 
## -18, -18, -17, -18, -21, -16, -14, -21, -19, -18, -18, -20, -19, 
## -17, -18, 48, 48, 50, 49, 52, 47, 49, 49, 48, 48, 49, 51, 47, 
## 52, 51, 50, 50, 51, 52, 52, 51, 50, 51, 52, 49, 52, 50, 47, 46, 
## 50, 49, 48, 53, 52, 44, 44, 51, 52, 52, 52, 51, 50, 53, 53, 51, 
## 50, 51, 47, 47, 52, 49, 51, 47, 50, 53, 53, 52, 53, 49, 47, 49, 
## 49, 49, 52, 55, 52, 52, 47, 53, 52, 51, 49, -18, -19, -24, -25, 
## -27, -28, -27, -21, -20, -19, -21, -20, -23, -23, -23, -23, -22, 
## -22, -20, -20, -18, -20, -19, -18, -17, -17, -22, -17, -21, -23, 
## -25, -24, -21, -24, -24, -22, -24, -24, -24, -24, -24, -24, -23, 
## -21, -14, -15, -17, -22, -23, -23, -21, -21, -20, -23, -21, -22, 
## -26, -26, -18, -28, -27, -28, -22, -23, -24, -20, -15, -15, -14, 
## -16, -15, -14, -12, -12, -15, -19, -21, -5, -5, -8, -2, -2, -12, 
## -8, -13, -16, -13, -10, -7, -22, -18, -13, -12, -14, -3, -1, 
## 1, -12, -13, -14, -14, -18, -7, -8, -17, -15, -8, -9, -13, -14, 
## -13, -13, -15, -25, -17, -14, -14, -13, -10, -8, -8, -10, -18, 
## -16, -13, -15, -20, -16, -14, -11, -4, -6, -6, -15, -18, -7, 
## -14, -12, -18, -17, -14, -10, -5, -8, -8, -10, -9, -11, -6, -5, 
## -8, -9, -7, -8, -8, -11, -9, -8, -8, -5, -4, -9, -7, -6, -5, 
## -8, -8, -5, -6, -6, -10, -12, -7, 2, -1, -2, -1, -7, -6, -3, 
## -2, -4, -13, 0, -1, -4, -10, -7, -5, -8, -7, -5, -6, -7, -7, 
## -12, -11, -7, -7, -3, -4, -5, -7, -10, -8, -6, -8, -6, -8, -9, 
## -5, -3, -8, -7, -5, -7, -9, -11, -10, -9, -9, -7, -8, -8, -6, 
## -9, -8, -10, -12, -10, -7, -5, -43, -40, -38, -40, -40, -37, 
## -41, -43, -41, -39, -43, -41, -46, -44, -40, -36, -38, -38, -30, 
## -37, -38, -37, -42, -41, -52, -48, -49, -41, -40, -44, -42, -13, 
## -12, -12, -14, -14, -16, -13, -12, -12, -12, -12, -12, -13, -19, 
## -23, -19, -19, -24, -24, -24, -23, -14, -9, -14, -13, -14, -14, 
## -16, -12, -16, -13, -15, -14, -15, -17, -18, -14, -13, -11, -25, 
## -14, -14, -14, -14, -16, -17, -20, -16, -18, -16, -15, -18, -16, 
## -20, -16, -21, -14, -17, -16, -16, -16, -12, -19, -20, -18, -18, 
## -17, -14, -11, -18, -16, -17, -16, -18, -20, -14, -19, -16, -15, 
## -12, -13, -17, -16, -18, -16, -21, -19, -16, -18, -20, -20, -21, 
## -19, -17, -14, -17, -15, -16, -17, -20, -18, -20, -19, -18, -17, 
## -22, -14, -15, -12, -24, -19, -19, -20, -22, -22, -19, -18, -17, 
## -19, -13, -17, -16, -17, -19, -15, -14, -11, -16, -18, -16, -17, 
## -16, -46, -45, -43, -42, -41, -41, -38, -40, -41, -38, -42, -42, 
## -37, -41, -37, -41, -41, -38, -41, -37, -42, -41, -39, -40, -42, 
## -44, -44, -38, -36, -41, -41, -44, -42, -40, -40, -40, -40, -42, 
## -39, -40, -43, -38, -35, -42, -40, -38, -40, -39, -40, -40, -44, 
## -44, -42, -38, -37, -37, -40, -45, -43, -35, -40, -38, -40, -45, 
## -40, -37, -40, -44, -38, -36, -39, -46, -39, -46, -42, -43, -41, 
## -37, -37, -38, -38, -38, -36, -37, -39, -37, -42, -42, -41, -38, 
## -41, -41, -41, -43, -41, -40, -39, -43, -41, -42, -40, -40, -40, 
## -40, -38, -38, -35, -40, -39, -38, -41, -38, -43, -42, -47, -44, 
## -42, -41, -40, -42, -36, -36, -43, -43, -40, -36, -38, -40, -40, 
## -44, -39, -36, -38, -36, -42, -42, -36, -35, -35, -35, -36, -36, 
## -39, -36, -41, -40, -42, -41, -40, -36, -33, -35, -38, -36, -38, 
## -37, -41, -40, -41, -42, -40, -41, -42, -38, -38, -33, -33, -41, 
## -37, -37, -37, -39, -39, -40, -44, -37, -38, -36, -37, -38, -38, 
## -40, -40, -34, -37, -39, -39, -38, -34, -39, -45, -42, -41, -39, 
## -37, -32, -34, -33, -33, -37, -42, -40, -36, -35, -34, -37, -38, 
## -40, -40, -37, -36, -36, -38, -38, -37, -36, -37, -38, -36, -40, 
## -37, -37, -34, -32, -33, -36, -39, -41, -39, -38, -39, -39, -37, 
## -39, -40, -40, -40, -8, -13, -10, -7, -9, -8, -8, -7, -6, -9, 
## -7, -7, -5, -5, -6, -9, -5, -5, -5, -6, -9, -13, -10, -8, -8, 
## -9, -9, -8, -9, -7, -7, -2, -3, -4, -7, -9, -4, -7, -6, -8, -8, 
## -5, -5, -3, -7, -9, -6, -4, -5, -7, -8, -9, -8, -7, -7, -8, -6, 
## -5, -5, -5, -6, -9, -5, -7, -8, -8, -7, -6, -6, -8, -5, -1, -3, 
## -6, -8, -10, -8, -8, -8, -4, -4, -7, -7, -12, -12, -8, -8, -9, 
## -3, -2, -3, -4, -5, -4, -5, -7, -7, -9, -6, -10, -6, -8, -4, 
## 0, -7, -7, -3, -4, -7, -6, -6, -6, -7, -7, -6, -6, -5, -5, -5, 
## -7, -6, -8, -7, 0, -5, -8, -7, -5, -3, -8, -3, -2, -9, -9, -9, 
## -7, -6, -7, -1, -4, -6, -6, -7, -5, -5, -4, -4, -4, -5, -4, -4, 
## -5, -4, -4, -5, -5, -4, -3, -4, -3, -5, -6, -7, -8, -8, -5, -1, 
## -1, -5, -4, -5, -5, -5, -6, -8, -7, -7, -7, -7, -6, -5, -4, -4, 
## 0, -4, -5, -5, -6, -5, -6, -6, -9, -6, -2, -1, -3, -7, -7, -6, 
## -6, -5, -7, -8, -7, -6, -7, -6, -6, -3, -5, -3, -4, -7, -6, -6, 
## -3, -2, -3, -5, -5, -4, -2, -6, -7, -6, -5, -1, -2, -3, -5, -4, 
## -7, -7, -8, -6, -2, -3, -6, -7, -7, -6, -6, -15, -11, -14, -15, 
## -16, -12, -15, -16, -14, -13, -11, -10, -13, -14, -15, -11, -10, 
## -18, -20, -20, -20, -16, -15, -14, -11, -10, -16, -13, -12, -13, 
## -16, -14, -11, -12, -15, -14, -16, -15, -19, -17, -14, -17, -16, 
## -18, -19, -21, -12, -17, -14, -18, -13, -20, -11, -21, -16, -16, 
## -13, -12, -14, -14, -18, -17, -13, -13, -16, -18, -17, -11, -21, 
## -17, -17, -20, -19, -20, -16, -17, -16, -17, -18, -16, -21, -19, 
## -18, -18, -17, -17, -17, -16, -18, -19, -16, -17, -18, -18, -17, 
## -19, -19, -19, -11, -15, -18, -17, -16, -17, -18, -19, -13, -15, 
## -13, -14, -12, -13, -15, -18, -19, -15, -16, -16, -17, -16, -19, 
## -17, -19, -19, -13, -13, -18, -17, -15, -17, -18, -17, -17, -17, 
## -22, -21, -15, -17, -16, -14, -20, -20, -20, -18, -17, -17, -17, 
## -11, -2, -7, -11, -10, -13, -17, -12, -15, -20, -17, -17, -15, 
## -16, -17, -16, -15, -17, -18, -15, -16, -14, -16, -16, -17, -19, 
## -17, -17, -15, -16, -23, -14, -17, -21, -19, -17, -13, -22, -17, 
## -19, -21, -18, -20, -20, -19, -18, -20, -20, -18, -16, -16, -15, 
## -14, -15, -21, -20, -19, -14, -22, -21, -19, -17, -21, -21, -24, 
## -20, -23, -22, -18, -17, -17, -17, -17, -14, -16, -16, -19, -23, 
## -21, -17, -13, -16, -15, -15, -16, -21, -21, -18, -16, -22, -18, 
## -13, -14, -14, -12, -13, -22, -19, -22, -23, -17, -18, -16, -16, 
## -17, -17, -17, -16, -17, -18, -17, -16, -19, -19, -19, -19, -19, 
## -9, -15, -19, -13, -14, -14, -16, -17, -12, -12, -10, -9, -15, 
## -17, -15, -12, -15, -14, -16, -19, -15, -16, -14, -13, -14, -15, 
## -14, -16, -17, -13, -14, -12, -10, -11, -17, -16, -14, -12, -13, 
## -11, -14, -15, -11, -11, -11, -13, -16, -13, -14, -13, -19, -16, 
## -11, -9, -20, -11, -13, -13, -13, -11, -13, -12, -14, -16, -15, 
## -11, -12, -13, -16, -19, -17, -14, -16, -21, -24, -29, -23, -19, 
## -14, -16, -13, -11, -17, -14, -14, -15, -11, -12, -15, -21, -12, 
## -12, -18, -19, -11, -12, -13, -11, -13, -14, -13, -13, -16, -16, 
## -6, -5, -10, -18, -20, -18, -23, -12, -21, -14, -9, -10, -9, 
## -9, -10, -11, -13, -13, -12, -12, -14, -13, -20, -20, -13, -13, 
## -19, -16, -20, -14, -15, -16, -14, -14, -11, -13, -23, -16, -15, 
## -16, -13, -9, -13, -11, -12, -16, -14, -13, -13, -12, -18, -22, 
## -17, -14, -14, -16, -13, -19, -12, -12, -18, -22, -17, -15, -14, 
## -16, -14, -10, -14, -13, -15, -14, -12, -14, -13, -12, -12, -15, 
## -13, -11, -12, -12, -21, -21, -13, -13, -14, -12, -12, -13, -14, 
## -13, -15, -18, -18, -15, -14, -13, -13, -14, -13, -11, -6, -12, 
## -14, -16, -22, -23, -20, -13, -8, -12, -13, -14, -14, -12, -13, 
## -16, -15, -18, -13, -13, -11, -14, -14, -13, -11, -16, -21, -17, 
## -14, -13, -13, -13, -13, -12, -11, -11, -11, -13, -15, -18, -14, 
## -13, -14, -14, -14, -12, -13, -13, -14, -14, -14, -13, -11, -13, 
## -16, -14, -19, -12, -9, -12, -18, -13, -14, -12, -13, -12, -12, 
## -13, -13, -13, -11, -9, -17, -16, -12, -8, -17, -22, -22, -4, 
## 2, -17, -15, -13, -14, -16, -16, 6, 8, -21, -22, -8, -13, -9, 
## -13, -15, -13, -11, -9, -9, -16, -16, -16, -17, -15, -11, -7, 
## -10, -12, -12, -12, -9, -12, -10, -11, -12, -11, -13, -15, -14, 
## -12, -15, -13, -13, -13, -15, -16, -15, -18, -15, -16, -14, -21, 
## -12, -10, -25, -28, -15, -13, -16, -14, -13, -15, -14, -13, -14, 
## -15, -16, -17, -14, -14, -14, -14, -15, -14, -18, -18, -18, -14, 
## 45, 51, 49, 49, 43, 41, 41, 46, 45, 50, 51, 49, 46, 47, 47, 45, 
## 44, 45, 49, 49, 46, 46, 48, 47, 47, 47, 46, 47, 47, 46, 47, 46, 
## 47, 47, 48, 47, 45, 51, 42, 42, 55, 50, 50, 45, 43, 42, 45, 47, 
## 48, 48, 47, 48, 50, 47, 48, 47, 47, 47, 46, 46, 47, 48, 49, 47, 
## 46, 46, 46, 45, 51, 48, 46, 47, 50, 50, 48, 50, 44, 47, 53, 49, 
## 46, 50, 45, 44, 48, 50, 48, 48, 49, 44, 45, 48, 49, 51, 47, 48, 
## 50, 41, 47, 44, 47, 48, 45, 46, 49, 48, 50, 48, 49, 50, 48, 47, 
## 46, 46, 45, 47, 46, 50, 51, 51, 49, 48, 45, 50, 47, 50, 50, 51, 
## 49, 50, 50, 50, 43, 49, 48, 48, 50, 50, 46, 49, 50, 47, 49, 48, 
## 52, 50, 47, 48, 50, 47, 48, 49, 49, 43, 43, 53, 54, 51, 48, 47, 
## 44, 50, 49, 49, 47, 49, 49, 47, 48, 49, 47, 47, 47, 45, 50, 51, 
## 48, 49, 47, 53, 51, 49, 45, 45, 47, 49, 49, 46, 52, 51, 49, 51, 
## 48, 44, 48, 47, 49, 49, 47, 49, 50, 49, 49, 51, 49, 47, 46, 44, 
## 47, 47, 52, 51, 46, 46, 50, 49, 51, 51, 44, 45, 46, 56, 49, 44, 
## 45, 53, 51, 52, 46, 46, 47, 49, 49, 46, 45, 49, 48, 50, 53, 48, 
## 44, 48, 50, 52, 51, 49, 48, 48, 49, 49, 47, 49, 50, 50, 48, 50, 
## 46, 50, 51, 47, 51, 49, 48, 48, 48, 50, 48, 51, 49, 49, 49, 49, 
## 49, 47, 48, 48, 50, 46, 49, 49, 50, 50, 48, 47, 47, 49, 48, 50, 
## 47, 48, 49, 49, 49, 48, 44, 47, 48, 46, 44, 46, 45, 50, 48, 48, 
## 49, 51, 52, 49, 48, 50, 51, 50, 50, 49, 45, 46, 48, 51, 50, 48, 
## 45, 45, 45, 47, 45, 44, 45, 46, 47, 46, 47, 50, 50, 48, 48, 52, 
## 51, 47, 47, 49, 49, 46, 46, 46, 45, 50, 50, 49, 48, 47, 48, 47, 
## 49, 49, 49, 48, 48, 47, 49, 51, 50, 48, 47, 48, 50, 50, 47, 47, 
## 47, 51, 48, 49, 49, 49, 51, 52, 52, 50, 47, 48, 52, 45, 50, 47, 
## 47, 46, 47, 47, 47, 47, 47, 49, 50, 50, 52, 49, 48, 46, 46, 45, 
## 49, 42, 50, 50, 47, 45, 45, 45, 48, 46, 44, 46, 49, 48, 47, 46, 
## 49, 46, 44, 46, 45, 46, 46, 48, 45, 47, 47, 46, 45, 49, 48, 49, 
## -20, -13, -22, -20, -17, -18, -15, -15, -16, -14, -15, -17, -17, 
## -20, -17, -18, -20, -18, -17, -17, -17, -18, -17, -17, -18, -16, 
## -14, -17, -20, -16, -19, -17, -19, -17, -19, -19, -18, -18, -19, 
## -18, -17, -17, -19, -16, -16, -18, -17, -17, -18, -19, -17, -17, 
## -16, -15, -17, -16, -19, -18, -19, -18, -18, -19, -17, -16, -19, 
## -19, -18, -16, -16, -16, -17, -20, -19, -21, -19, -18, -18, -21, 
## -14, -14, -17, -19, -19, -20, -19, -19, -18, -18, -19, -15, -19, 
## -19, -20, -16, -16, -18, -17, -16, -17, -18, -16, -20, -18, -18, 
## -18, -19, -20, -18, -17, -20, -18, -19, -21, -18, -19, -19, -20, 
## -23, -22, -23, -22, -18, -21, -20, -19, -19, -20, -22, -20, -19, 
## -18, -19, -20, -21, -19, -18, -17, -15, -15, -17, -18, -19, -20, 
## -18, -16, -16, -21, -20, -22, -19, -18, -15, -18, -20, -18, -18, 
## -17, -14, -15, -13, -15, -18, -19, -18, -19, -19, -18, -19, -18, 
## -20, -19, -17, -19, -22, -20, -20, -19, -20, -20, -17, -16, -16, 
## -20, -18, -19, -20, -16, -18, -17, -17, -19, -22, -24, -16, -18, 
## -17, -17, -18, -18, -19, -19, -19, -18, -18, -20, -21, -19, -19, 
## -22, -22, -16, -18, -18, -17, -21, -19, -23, -20, -19, -18, -20, 
## -20, -21, -21, -20, -21, -20, -13, -15, -22, -18, -15, -15, -16, 
## -14, -14, -14, -15, -16, -19, -19, -23, -20, -20, -20, -21, -20, 
## -17, -23, -17, -20, -19, -18, -17, -19, -21, -23, -17, -16, -21, 
## -23, -18, -20, -18, -20, -18, -19, -19, -21, -24, -21, -23, -15, 
## -16, -21, -20, -24, -22, -20, -18, -21, -20, -17, -21, -20, -20, 
## -19, -19, -21, -21, -18, -18, -17, -22, -22, -23, -22, -21, -20, 
## -16, -17, -18, -19, -20, -19, -19, -18, -19, -19, -17, -17, -18, 
## -17, -15, -14, -13, -17, -17, -18, -19, -17, -19, -17, -16, -16, 
## -21, -19, -13, -19, -18, -16, -19, -16, -15, -13, -14, -13, -14, 
## -11, -10, -10, -13, -15, -14, -14, -13, -14, -14, -15, -16, -14, 
## -20, -20, -15, -14, -14, -11, -9, -11, -11, -11, -12, -17, -17, 
## -15, -13, -13, -5, -6, -6, -4, -5, -6, -6, -4, -5, -5, -5, -3, 
## -4, -4, -6, -4, -6, -4, -4, -5, -5, -5, -9, -7, -4, -4, -4, -3, 
## -3, -3, -4, -4, -2, -1, 0, 0, -8, -7, -6, -5, -4, -4, -3, -7, 
## -6, -8, -38, -40, -37, -42, -37, -39, -38, -35, -41, -36, -38, 
## -39, -41, -39, -40, -41, -45, -43, -40, -37, -37, -43, -37, -44, 
## -42, -40, -39, -39, -39, -33, -40, -42, -42, -43, -39, -37, -36, 
## -42, -38, -41, -41, -39, -37, -39, -42, -37, -37, -38, -40, -41, 
## -41, -38, -39, -39, -39, -41, -32, -34, -37, -39, -41, -38, -37, 
## -38, -40, -40, -42, -41, -21, -17, -19, -17, -19, -19, -21, -22, 
## -24, -24, -21, -21, -24, -25, -24, -20, -18, -16, -15, -20, -22, 
## -21, -18, -20, -17, -17, -21, -19, -20, -20, -16, -16, -14, -18, 
## -19, -14, -15, -11, -17, -18, -18, -17, -18, -16, -13, -12, -17, 
## -23, -13, -17, -17, -18, -18, -13, -16, -15, -13, -22, -15, -19, 
## -19, -20, -16, -19, -17, -14, -18, -17, -21, -12, -21, -13, -13, 
## -20, -18, -19, -18, -18, -17, -15, -14, -17, -17, -20, -16, -16, 
## -18, -16, -19, -19, -18, -19, -20, -18, -19, -17, -19, -17, -18, 
## -20, -18, -20, -19, -21, -21, -19, -20, -20, -21, -20, -20, -21, 
## -19, -18, -20, -18, -18, -37, -38, -41, -43, -40, -37, -35, -35, 
## -34, -40, -42, -42, -39, -38, -40, -38, -37, -37, -36, -39, -41, 
## -40, -37, -39, -39, -35, -34, -31, -31, -38, -36, -40, -40, -39, 
## -45, -40, -30, -38, -27, -33, -37, -41, -39, -40, -43, -41, -45, 
## -37, -41, -42, -37, -35, -43, -42, -37, -33, -40, -43, -41, -40, 
## -39, -41, -41, -38, -37, -31, -31, -40, -36, -41, -42, -43, -38, 
## -36, -38, -40, -42, -43, -39, -40, -40, -37, -38, -41, -40, -39, 
## -41, -41, -38, -35, -41, -39, -38, -39, -39, -39, -41, -41, -39, 
## -38, -38, -40, -40, -39, -41, -42, -38, -33, -34, -36, -39, -40, 
## -44, -47, -39, -34, -40, -44, -45, -45, -49, -46, -44, -41, -41, 
## -40, -40, -40, -40, -40, -41, -40, -39, -41, -38, -36, -38, -38, 
## -42, -41, -40, -41, -40, -40, -40, -36, -38, -37, -42, -43, -43, 
## -38, -43, -40, -39, -37, -38, -39, -39, -40, -36, -40, -39, -40, 
## -41, -40, -41, -42, -41, -42, -44, -42, -42, -38, -39, -37, -43, 
## -41, -39, -42, -38, -40, -39, -42, -37, -38, -37, -36, -28, -35, 
## -39, -38, -40, -41, -41, -47, -42, -38, -40, -38, -35, -35, -35, 
## -37, -42, -35, -39, -38, -40, -40, -40, -38, -31, -41, -46, -43, 
## -47, -29, -45, -32, -28, -42, -40, -37, -41, -42, -44, -36, -35, 
## -34, -32, -20, -22, -23, -22, -21, -25, -21, -22, -21, -21, -23, 
## -21, -20, -19, -21, -20, -22, -22, -22, -22, -23, -20, -22, -19, 
## -20, -19, -19, -22, -19, -26, -24, -17, -17, -18, -19, -21, -22, 
## -22, -22, -21, -19, -21, -18, -21, -21, -18, -19, -21, -22, -22, 
## -23, -21, -17, -25, -25, -20, -20, -21, -20, -22, -22, -21, -21, 
## -19, -23, -21, -21, -22, -21, -18, -17, -17, -23, -21, -19, -19, 
## -21, -21, -21, -22, -19, -20, -20, -15, -12, -19, -19, -20, -19, 
## -23, -24, -21, -20, -21, -20, -24, -21, -19, -25, -28, -27, -26, 
## -23, -23, -23, -23, -23, -21, -17, -21, -23, -24, -23, -23, -23, 
## -23, -21, -21, -21, -21, -23, -22, -20, -26, -27, -22, -22, -20, 
## -22, -22, -23, -30, -23, -21, -25, -22, -22, -22, -21, -25, -26, 
## -17, -18, -19, -19, -29, -28, -26, -22, -24, -22, -22, -23, -28, 
## -25, -25, -24, -21, -20, -21, -25, -26, -26, -22, -21, -20, -17, 
## -17, -15, -15, -20, -15, -14, -12, -15, -19, -16, -18, -25, -25, 
## -24, -25, -23, -23, -32, -17, -6, -6, -4, -6, -18, -4, -4, -3, 
## 2, 7, 15, 16, 6, 9, 9, 3, -3, -1, -6, -2, -1, -3, -19, -19, -22, 
## -25, -25, -23, -20, -29, -28, -25, -20, -17, -12, -3, -5, 3, 
## 7, 20, 24, 35, 24, 16, 19, 6, 5, 3, 12, 3, 2, 5, 4, 0, -3, 5, 
## -10, -19, 23, 11, 14, 10, 11, 12, -1, -5, -2, -1, -6, -13, -8, 
## -12, -16, -20, -7, -14, -26, -39, -38, -33, -27, -33, -34, -27, 
## -12, -7, 14, -11, 13, 21, 19, 17, 28, 8, 16, 27, 12, 3, 17, 18, 
## 13, 10, 8, 8, 6, -6, -8, -7, -14, -13, -13, -10, -20, -30, -29, 
## -28, -30, -30, -28, -15, -16, -25, 17, 25, -7, 24, 31, 27, 21, 
## 11, 7, 12, 12, 15, 13, 9, 1, -3, -12, -7, -31, -21, -23, -27, 
## -28, -27, -10, -13, -11, -16, -18, 20, 4, 8, 7, 13, 9, -3, 4, 
## 0, 0, -6, -20, -10, -13, -15, -21, -39, -18, -22, -32, -29, -18, 
## -21, -18, -17, -17, -17, -11, 14, 8, 11, -2, 8, 2, 1, -4, -3, 
## 7, 5, 3, -5, -7, -8, -9, -8, -13, -4, -7, -10, -8, -13, -24, 
## -26, -34, -32, -28, -25, -27, -33, -24, -13, -18, -19, -19, -21, 
## -9, 8, 10, 12, 5, -7, 7, 21, 15, 7, 4, 20, 5, 4, 6, 9, 10, -7, 
## -6, -8, -16, -14, -10, -4, -14, -16, -11, -7, -11, -13, -17, 
## -17, -10, -15, -18, -22, -23, -22, -16, -18, -17, -13, -13, -17, 
## -20, -18, -19, -23, -17, -20, -17, -20, -16, -24, -24, -22, -20, 
## -19, -16, -22, -16, -21, -15, -20, -21, -23, -23, -18, -20, -21, 
## -19, -19, -16, -18, -18, -17, -15, -14, -12, -18, -24, -21, -23, 
## -21, -23, -18, -19, -20, -19, -18, -21, -19, -18, -17, -16, -19, 
## -20, -20, -18, -19, -20, -20, -21, -21, -20, -19, -18, -19, -16, 
## -14, -11, -12, -15, -22, -19, -19, -21, -19, -21, -20, -20, -22, 
## -18, -20, -19, -14, -16, -19, -22, -22, -23, -22, -21, -20, -21, 
## -21, -20, -19, -20, -19, -21, -21, -16, -15, -13, -13, -22, -23, 
## -21, -21, -21, -15, -24, -26, -19, -24, -17, -15, -14, -21, -20, 
## -20, -21, -23, -23, -21, -20, -17, -17, -13, -21, -18, -21, -21, 
## -21, -20, -20, -23, -17, -12, -13, -13, -15, -16, -17, -17, -20, 
## -21, -17, -17, -19, -18, -18, -18, -21, -17, -19, -19, -22, -20, 
## -21, -18, -22, -24, -19, -16, -15, -15, -14, -16, -21, -18, -19, 
## -16, -20, -17, -20, -16, -21, -20, -18, -15, -24, -17, -17, -16, 
## -14, -17, -19, -20, -22, -18, -13, -12, -17, -14, -9, -7, -15, 
## -21, -26, -15, -10, -11, -12, -9, -13, -14, -13, -13, -14, -15, 
## -14, -15, -13, -15, -14, -12, -11, -14, -15, -15, -11, -10, -2, 
## -11, -12, -15, -13, -12, -13, -14, -13, -11, -9, -4, -5, -13, 
## -12, -15, -15, -14, -2, -15, -14, -12, -14, -15, -11, -12, -11, 
## -11, -13, -11, -14, -14, -12, -13, -11, -9, -7, -13, -18, -23, 
## -24, -15, -14, -12, -6, -4, -18, -25, -11, -14, -13, -14, -12, 
## -11, -13, -4, -5, -7, -13, -13, -14, -11, -11, -15, -12, -12, 
## -23, -16, -12, -14, -14, -11, -7, -12, -7, -13, -15, -15, -13, 
## -12, -10, -8, -8, -10, -11, -15, -12, -13, -13, -11, -12, -13, 
## -10, -12, -10, -10, -12, -4, -20, -13, -11, -12, -14, -12, -12, 
## -14, -10, -12, -11, -13, -13, -13, -12, -11, -14, -11, -4, -8, 
## -24, -12, -11, -11, -16, -19, -17, -10, -10, -6, -8, -10, -28, 
## -25, -14, -16, -13, -1, -1, -6, -18, -17, -21, -14, -14, -17, 
## -18, -19, -17, -14, -15, -16, -16, -16, -15, -16, -15, -16, -16, 
## -15, -15, -14, -13, -15, -16, -14, -15, -16, -13, -15, -13, -13, 
## -14, -17, -15, -18, -18, -17, -17, -16, -19, -16, -14, -14, -14, 
## -13, -13, -15, -14, -13, -11, -14, -17, -17, -14, -14, -14, -14, 
## -15, -21, 2, -14, -18, -21, -14, -13, -14, -12, -13, -16, -15, 
## -15, -16, -17, 47, 47, 48, 45, 48, 48, 49, 51, 50, 48, 48, 48, 
## 49, 49, 46, 45, 48, 48, 47, 47, 50, 50, 52, 51, 48, 50, 48, 49, 
## 49, 49, 49, 48, 48, 49, 49, 48, 48, 46, 49, 50, 50, 48, 46, 49, 
## 48, 49, 47, 47, 48, 50, 50, 52, 47, 46, 47, 47, 49, 51, 50, 47, 
## 47, 46, 48, 48, 49, 50, 50, 47, 47, 47, 47, 48, 48, 51, 47, 51, 
## 51, 48, 48, 48, 47, 48, 49, 49, 47, 45, 46, 47, 49, 48, 47, 48, 
## 49, 49, 51, 51, 52, 47, 48, 49, 45, 49, 46, 46, 47, 48, 49, 45, 
## 48, 49, 50, 48, 49, 48, 49, 46, 46, 48, 48, 47, 46, 48, 47, 51, 
## 48, 45, 48, 50, 49, 48, 49, 49, 49, 49, 48, 47, 50, 45, 48, 49, 
## 50, 50, 45, 46, 49, 49, 46, 45, 48, 47, 46, 53, 53, 44, 49, 51, 
## 50, 46, 45, 47, 52, 46, 48, 45, 45, 45, 45, 52, 50, 48, 42, 39, 
## 43, 42, 49, 76, 83, 70, 67, 68, 65, 59, 50, 45, 42, 38, 34, 37, 
## 60, 54, 57, 46, 36, 34, 29, 33, 27, 26, 30, 29, 36, 28, 27, 39, 
## 53, 54, 43, 49, 50, 46, 49, 50, 49, 46, 50, 47, 48, 48, 49, 46, 
## 44, 48, 48, 49, 51, 51, 49, 49, 49, 48, 50, 48, 51, 50, 50, 48, 
## 49, 49, 49, 46, 49, 50, 50, 49, 52, 49, 47, 48, 48, 49, 54, 50, 
## 49, 48, 49, 48, 48, 49, 48, 48, 49, 47, 47, 48, 48, 47, 45, 47, 
## 47, 49, 47, 49, 49, 50, 49, 48, 46, 46, 53, 51, 43, 46, 49, 49, 
## 48, 48, 46, 50, 49, 48, 48, 49, 45, 47, 50, 48, 47, 46, -22, 
## -20, -23, -20, -15, -13, -17, -17, -16, -11, -17, -25, -10, -19, 
## -20, -26, -23, -25, -29, -22, -23, -24, -19, -20, -17, -17, -16, 
## -17, -20, -20, -19, -22, -23, -20, -19, -20, -17, -23, -26, -25, 
## -21, -21, -19, -21, -21, -22, -22, -23, -22, -19, -24, -18, -21, 
## -21, -19, -19, -22, -21, -22, -24, -22, -24, -23, -23, -21, -22, 
## -19, -20, -19, -21, -21, -20, -18, -18, -21, -22, -21, -23, -25, 
## -24, -22, -21, -21, -22, -21, -22, -22, -24, -17, -21, -21, -20, 
## -20, -21, -19, -21, -24, -25, -19, -17, -22, -22, -21, -22, -23, 
## -23, -21, -23, -24, -21, -22, -21, -20, -21, -21, -22, -21, -20, 
## -18, -19, -22, -20, -24, -23, -21, -21, -21, -21, -21, -22, -25, 
## -22, -21, -20, -28, -23, -21, -20, -17, -18, -20, -20, -18, -19, 
## -20, -19, -19, -18, -21, -24, -19, -21, -20, -21, -19, -22, -25, 
## -24, -19, -19, -22, -21, -21, -20, -19, -19, -22, -19, -21, -20, 
## -21, -20, -22, -20, -21, -23, -21, -22, -24, -21, -19, -20, -21, 
## -21, -21, -22, -22, -20, -21, -21, -21, -24, -24, -22, -22, -23, 
## -20, -20, -19, -19, -21, -19, -22, -21, -21, -20, -21, -23, -21, 
## -20, -22, -22, -22, -21, -20, -19, -17, -20, -24, -22, -23, -24, 
## -23, -18, -18, -18, -14, -9, -12, -13, -14, -18, -22, -15, -18, 
## -18, -17, -16, -17, -20, -14, -17, -15, -13, -6, -5, -5, -7, 
## -14, -12, -10, -11, -14, -11, -13, -14, -9, -14, -13, -13, -13, 
## -10, -10, -14, -16, -13, -12, -9, -11, -11, -8, -5, -6, -18, 
## -18, -14, -8, -15, -16, -14, -12, -7, -10, -14, -12, -22, -19, 
## -37, -36, -32, -12, -15, 8, 16, 17, 20, 22, 2, 3, 6, 1, 7, 11, 
## 8, 10, 12, 10, -1, -7, -8, -19, -33, -40, -19, -16, -15, -29, 
## -23, -29, -34, -34, -24, -8, -13, -12, -11, -6, 20, 19, 16, 15, 
## 11, 7, 9, 7, 8, 6, -1, -7, -6, -2, -5, -17, -14, -16, -26, -24, 
## -21, -15, -9, -4, 20, 23, 9, 17, 23, 24, -39, -40, -38, -38, 
## -40, -40, -43, -40, -34, -34, -34, -38, -42, -38, -39, -31, -29, 
## -39, -37, -42, -44, -42, -39, -37, -33, -42, -43, -35, -42, -41, 
## -40, -37, -39, -44, -41, -43, -38, -38, -35, -37, -43, -38, -40, 
## -40, -40, -40, -42, -42, -41, -25, -18, -15, -20, -16, -18, -19, 
## -19, -18, -19, -21, -20, -19, -19, -12, -20, -22, -22, -21, -18, 
## -19, -21, -21, -21, -21, -16, -20, -22, -16, -19, -16, -18, -19, 
## -6, -4, 1, -13, 37, -41, -120, -54, -81, -70, -32, -54, -66, 
## -73, -68, -74, -83, -77, -79, -82, -66, -66, -69, -63, -65, -14, 
## 43, 46, 46, 47, 45, 43, 42, 48, 57, 61, 59, 57, 73, 57, 41, 36, 
## 34, 33, 36, 53, 56, 45, 57, 54, 74, 56, 56, 54, 60, 56, 51, 59, 
## 57, 56, 54, 58, 53, 42, 36, 46, 52, 44, 41, 44, 58, 56, 56, 74, 
## 72, 72, 56, 39, 43, 37, 39, 44, 56, 48, 52, 56, 62, 19, 45, 30, 
## 26, 27, 26, 27, 33, 36, 36, 28, 35, 52, 66, 62, 56, 44, 48, 62, 
## 72, 70, 75, 72, 47, 38, 47, 35, 26, -8, 11, 33, 8, 11, 8, 51, 
## 57, 64, 71, 70, 62, -18, -17, -11, -5, -11, -16, -4, -6, -7, 
## -6, -21, -14, -17, -20, -19, -17, -20, -16, -23, -20, -16, -14, 
## -5, -5, -11, 8, -21, -16, -20, -18, -21, -20, -16, -15, -13, 
## -14, -8, -9, -8, -15, -11, -9, -8, -12, 0, -6, 1, -18, -20, -15, 
## -19, -7, 0, -9, -1, -4, -9, -22, -19, -13, -6, -20, -22, -21, 
## -19, -10, -6, -14, -8, -8, -6, -6, -7, -3, -8, -5, -14, -21, 
## -16, -21, -18, -15, -12, -14, -16, -14, -12, -18, -19, -22, -19, 
## -18, -16, -4, -6, -1, -1, -13, -16, -10, -20, -15, -4, -11, -17, 
## -8, -18, -6, -13, -10, -13, -26, -21, -15, -12, -9, -15, -15, 
## -8, -8, -9, -7, -11, -23, -11, -17, -16, -12, -16, -19, -7, -13, 
## -14, -15, -15, -13, -16, -13, -10, -8, -6, -4, -4, -6, -13, -21, 
## -22, -17, -13, -21, -21, -18, -10, -5, -3, -7, -15, -17, -11, 
## -5, -10, -12, -9, -14, -7, -9, -10, -11, -17, -20, -20, -18, 
## -17, -17, -13, -24, -21, -20, -10, -13, -14, -10, -8, -15, -9, 
## -11, -16, -15, -18, -10, -8, -8, -1, -10, -15, -6, -20, -23, 
## -20, -18, -20, -18, -13, -11, -9, -3, -8, -6, -5, -3, -15, 3, 
## -16, -13, -9, -10, -11, -13, -12, -7, -11, -12, -16, -11, -9, 
## -15, -6, -4, -2, -8, -8, -3, -9, -17, -16, -20, -20, -18, -18, 
## -17, -16, -15, -14, -16, -17, -16, -16, -13, -14, -16, -16, -16, 
## -14, -16, -15, -17, -15, -18, -16, -14, -19, -17, -14, -23, -25, 
## -19, -18, -23, -19, -20, -19, -19, -17, -17, -18, -14, -19, -20, 
## -18, -20, -20, -50, -43, -39, -41, -35, -57, -58, -58, -55, -55, 
## -45, -31, -56, -53, -81, -36, -57, -25, -23, -27, -31, -39, -52, 
## -49, -41, -47, -45, -45, -41, -41, -46, -39, -11, -11, 1, -54, 
## -53, -49, -54, -57, -62, -68, -43, -49, -49, -44, -39, -34, -35, 
## -44, -41, -49, -43, -43, -44, -41, -37, -43, -51, -51, -49, -23, 
## -22, -50, -35, -37, -48, -41, -35, -45, -53, -53, -43, -40, -47, 
## -37, -47, -45, -44, -42, -16, -16, -20, -23, -16, -15, -17, -11, 
## -14, -10, -8, -10, -12, -14, -19, -21, -14, -13, -10, -11, -10, 
## -5, -5, -14, -16, -3, -10, -15, -13, -17, -1, 3, -2, -4, -4, 
## -12, -18, -13, -13, -15, -13, -12, -3, -3, -24, -17, -14, -13, 
## -19, -23, -22, -21, -22, -10, -14, -21, -18, -16, -14, -15, -14, 
## -18, -20, -16, -16, -8, -16, -16, -25, -22, -21, -19, -17, -22, 
## -12, -15, -23, -13, -13, -11, -12, -5, -10, -17, -18, -17, -17, 
## -10, -13, -13, -14, -16, -16, -23, -18, -18, -19, -20, -15, -13, 
## -13, -12, -18, -11, -11, -17, -10, -19, -13, -15, -22, -28, -28, 
## -23, -17, -20, -9, -11, -22, -13, -14, -14, 0, 1, -5, -12, -15, 
## -17, -18, -13, -18, -19, -19, -17, -17, -17, -22, -35, -32, -29, 
## -31, -30, -25, -26, -23, -11, -23, -29, -20, -17, -17, -26, -15, 
## -21, -1, -13, -18, -13, -13, -20, -22, -28, -29, -26, -28, -29, 
## -35, -38, -32, -27, -28, -29, -13, -22, -22, -21, -12, -19, -21, 
## -18, 0, -10, -13, -6, -2, 0, 6, -1, -16, -15, -7, -4, -12, -15, 
## -15, -13, -20, -21, -27, -25, -22, -17, -11, -15, -27, -22, -26, 
## -22, -19, -18, -24, -11, -21, -28, -32, -32, -19, -20, -25, -19, 
## -15, -13, -8, -9, -16, -16, -10, -8, -8, -9, -6, -13, -24, -24, 
## -26, -25, -27, -14, -9, -10, -21, -14, -17, -13, -21, -17, -16, 
## -25, -21, -21, -22, -28, -23, -18, -15, -16, -15, -16, -23, -22, 
## -19, -20, -19, -20, -19, -19, -22, -20, -24, -26, -26, -20, -8, 
## -14, -19, -19, -27, -16, -21, -26, -26, -21, -20, -24, -32, -31, 
## -25, -30, -22, -16, -21, -8, -4, -10, -14, -17, -16, -21, -21, 
## -14, -21, -19, -16, -16, -13, -11, -23, -26, -33, -29, -27, -39, 
## -36, -23, -20, -7, -21, -17, -15, -6, -8, -17, -21, -20, -18, 
## -10, -9, -33, -12, -21, -16, -18, -12, -11, -6, -6, -9, -10, 
## -20, -18, -6, -10, -20, -23, -22, -22, -29, -26, -28, -29, -41, 
## -40, -30, -5, -12, -19, -6, -3, -4, -9, -19, -11, -9, -11, -13, 
## -18, -21, -18, -11, -8, 18, 27, 14, 6, 13, 13, 12, -23, -27, 
## -6, -13, -16, -20, -47, -43, -28, -37, -44, -45, -22, -25, -20, 
## -14, -18, -18, -18, -17, -21, -21, -23, -24, -27, -30, -25, -28, 
## -27, -26, -16, -14, -17, -19, -17, -6, -14, -16, -10, -10, -10, 
## -14, -14, -14, -13, -11, -9, -10, -14, -11, -14, -17, -15, -11, 
## -9, -12, -10, -11, -11, -13, -10, -13, -14, -14, -13, -8, -9, 
## -10, -8, -10, -7, -13, -11, -9, -7, -12, -12, -8, -7, -7, -7, 
## -10, -12, -11, -6, -10, -10, -10, -6, -8, -3, -9, -11, -9, -8, 
## -8, -9, -9, -11, -9, -7, -8, -9, -9, -10, -6, 0, -4, -8, -7, 
## -7, -8, -6, -9, -10, -7, -13, -13, -5, -5, -13, -7, -7, -7, -5, 
## -6, -7, -6, -7, -17, -14, -11, -9, -14, -11, -9, -8, -7, -6, 
## -5, -8, -10, -8, -2, -5, -8, -10, -11, -5, -1, -6, -11, -12, 
## -13, -13, -11, -9, -8, -9, -12, -8, -6, -7, -5, -4, -11, -12, 
## -9, -7, -7, -8, -7, -6, -8, -8, -10, -10, -8, -3, -4, -5, -11, 
## -10, -10, -9, -7, -6, -8, -9, -6, -4, -8, -11, -10, -12, -9, 
## -7, -5, -6, -7, -9, -9, -4, -7, -6, -8, -8, -10, -8, -9, -7, 
## -8, -8, -8, -7, -6, -8, -9, -12, -16, -12, -11, -10, -10, -12, 
## -17, -15, -13, -5, -6, -11, -10, -7, -7, -8, -6, -9, -13, -13, 
## -12, -12, -8, -10, -9, -13, -11, -10, -10, -10, -10, -10, -11, 
## -9, -9, -10, -8, -10, -8, -9, -8, -8, -9, -9, -9, -8, -8, -8, 
## -8, -8, -8, -8, -10, -8, -20, -31, -19, -19, -23, -13, 65, -74, 
## -1, 11, 2, 18, 10, -15, -15, -15, -16, -15, -15, -17, -13, -16, 
## -15, -16, -16, -15, -15, -16, -15, -14, -12, -13, -10, -15, -9, 
## -10, -4, 8, -4, -5, -17, -3, 8, -4, -4, 3, 6, 5, -7, -11, -13, 
## -8, 10, -9, 6, 21, -18, -15, -10, -9, -18, -15, -21, 16, -14, 
## 23, 47, 14, -1, -10, -1, 2, 8, -10, -40, 25, 3, 6, -11, -4, -7, 
## -13, 3, 9, 14, 40, 35, 18, 4, -1, -1, -13, -16, 2, -2, -13, -13, 
## -9, -18, -9, -1, -12, -12, -13, -12, -3, -3, -8, -10, -11, -11, 
## 12, 14, 19, 30, 23, 5, 16, 5, -1, 6, -11, -9, -1, 1, 9, -14, 
## -6, -8, 2, 18, 19, 35, 34, 30, 27, 20, 16, -2, -7, -9, -8, -10, 
## 2, -10, -1, -9, -6, -12, -6, -3, -12, -10, 1, 6, 11, 26, 18, 
## 30, 28, 30, 28, 27, 25, 22, 21, 23, -6, -3, -3, -1, -21, -7, 
## 10, -17, -19, 1, 0, 2, 21, 44, 28, 24, 8, 15, 9, -13, -12, -15, 
## -4, 13, -12, -5, -11, -12, -4, -8, -6, -6, -3, -9, -3, 4, 2, 
## -8, 0, 2, -3, 19, 8, -6, -7, -6, -8, -13, -13, -5, -14, -17, 
## -12, 17, 17, 1, -3, -8, 1, -11, -12, -24, -13, -10, -17, -6, 
## -13, -14, -14, -13, -15, -14, -13, -14, -17, -15, -14, -14, -9, 
## -12, -18, -26, -19, -18, -14, -14, -14, -14, -17, -13, -15, -15, 
## -14, 49, 53, 50, 50, 49, 51, 60, 59, 58, 68, 59, 49, 55, 58, 
## 56, 64, 57, 56, 49, 69, 70, 67, 66, 69, 71, 72, 72, 68, 52, 52, 
## 51, 52, 51, 44, 35, 35, 36, 38, 40, 43, 42, 43, 48, 46, 53, 58, 
## 53, 31, 45, 52, 44, 49, 68, 55, 56, 56, 55, 52, 49, 61, 56, 60, 
## 60, 64, 68, 69, 74, 64, 59, 58, 54, 45, 41, 45, 47, 41, 42, 44, 
## 42, 38, 51, 43, 41, 48, 52, 49, 57, 52, 65, 69, 63, 68, 66, 60, 
## 63, 66, 67, 63, 60, 54, 46, 43, 43, 42, 45, 48, 50, 46, 43, 43, 
## 42, 45, 46, 46, 45, 48, 49, 52, 50, 47, 39, 43, 51, 48, 48, 51, 
## 50, 44, 52, 53, 50, 50, 51, 55, 50, 49, 65, 66, 68, 71, 67, 62, 
## 51, 50, 50, 43, 49, 45, 59, 74, 51, 52, 54, 64, 68, 66, 67, 59, 
## 60, 63, 58, 56, 57, 55, 47, 46, 39, 33, 47, 45, 53, 39, 29, 41, 
## 52, 66, 59, 70, 78, 75, 49, 52, 70, 76, 66, 64, 63, 76, 71, 63, 
## 61, 60, 63, 65, 59, 67, 63, 50, 48, 40, 43, 46, 64, 59, 57, 45, 
## 57, 64, 71, 72, 70, 65, 57, 57, 64, 66, 67, 67, 57, 56, 56, 53, 
## 50, 47, 43, 44, 46, 47, 39, 38, 38, 37, 45, 44, 46, 53, 51, 51, 
## 54, 41, 34, 42, 45, 50, 47, 51, 59, 52, 67, 63, 57, 53, 62, 68, 
## 61, 53, 53, 54, 60, 51, 53, 51, 27, 34, 43, 63, 78, 74, 67, 52, 
## 43, 45, 45, 46, 46, 43, 53, 50, 53, 50, 43, 50, 48, 44, 45, 48, 
## 38, 32, 51, 50, 44, 48, 49, 46, 48, 46, 40, 41, 42, 41, 43, 46, 
## 51, 57, 44, 38, 39, 38, 49, -58, -55, -45, -36, -39, -38, -35, 
## -49, -44, -36, -33, -41, -39, -35, -36, -38, -48, -39, -42, -47, 
## -41, -49, -42, -27, -9, -6, -39, -27, -28, -44, -46, -62, -55, 
## -42, -39, -30, -44, -59, -55, -58, -53, -34, -40, -50, -28, -35, 
## -35, -43, -47, -56, -40, -48, -33, -23, -19, -49, -36, -37, -44, 
## -65, -46, -44, -57, -51, -39, -31, -41, -60, -37, -48, -41, -29, 
## -38, -51, -56, -41, -32, -33, -36, -36, -40, -53, -56, -49, -48, 
## -51, -31, -16, -15, -8, -31, -53, -45, -34, -23, -30, -38, -48, 
## -65, -57, -56, -50, -48, -37, -37, -47, -38, -19, -16, -14, -4, 
## -44, -43, -41, -44, -50, -58, -56, -32, -42, -21, -31, -46, -44, 
## -44, -45, -49, -45, -47, -47, -48, -47, -47, -50, -50, -40, -41, 
## -45, -45, -45, -45, -46, -48, -50, -49, -47, -44, -39, -47, -15, 
## -16, -14, -14, -17, -16, -14, -12, -12, -17, -16, -18, -19, -20, 
## -21, -22, -22, -15, -14, -17, -19, -17, -15, -13, -17, -17, -16, 
## -19, -12, -21, -21, -18, -11, -18, -11, -7, -4, -7, -7, -5, -2, 
## -1, -4, -18, -17, -19, -11, -7, -11, -16, -13, -16, -15, -11, 
## -18, -17, -14, -15, -15, -14, -15, -16, -14, -11, -16, -18, -2, 
## 2, -5, 9, 1, 12, 12, 20, 21, 14, -2, -10, -4, -4, 2, 3, 12, 11, 
## 12, 13, 9, 5, 3, -4, -17, -14, -13, -2, 1, -3, -15, -16, -15, 
## -16, -16, -16, -18, -18, -17, -21, -18, -14, -15, -17, -9, -9, 
## -9, -8, -4, -2, -2, 6, 44, 54, 47, 34, 30, 27, -2, -7, -8, -9, 
## -7, -7, -7, -6, -5, -9, -14, -13, -10, -8, -6, -6, -8, -7, -11, 
## -9, -7, -7, -5, -5, -9, -8, -3, -9, -9, -50, -50, -47, -48, -48, 
## -50, -48, -43, -42, -42, -52, -42, -43, -44, -48, -51, -40, -46, 
## -47, -55, -37, -40, -44, -48, -46, -47, -53, -52, -29, -42, -51, 
## -32, -44, -37, -31, -18, -13, -40, -52, -54, -51, -61, -67, -76, 
## -42, -49, -23, -55, -42, -44, -52, -50, -57, -44, -60, -31, -37, 
## -33, -33, -33, -42, -35, -32, -43, -44, -47, -50, -44, -32, -38, 
## -38, -36, -40, -46, -8, -9, -13, -6, -8, -4, -15, -13, -18, -20, 
## -18, -11, -10, -23, -13, -22, -18, -21, -22, -19, -16, -19, -27, 
## -20, -14, -19, -14, -18, -7, -11, -10, -12, -15, -11, -16, -12, 
## -19, -16, -17, -11, -5, -9, -17, -23, -15, -15, -17, -17, -8, 
## -14, -14, -15, -12, -10, -11, -12, -8, -12, -10, -6, -10, -16, 
## -15, -14, 9, 13, 46, 33, 27, 72, 85, 68, 71, 74, 74, 67, 60, 
## 49, 50, 47, 46, 42), accel_belt_y = c(5, 3, 4, 4, 2, 2, 4, 4, 
## 5, 5, 5, 1, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 3, 6, 1, 3, 1, 4, 5, 
## 4, 3, 4, 3, 1, 3, 4, 3, 4, 5, 2, 2, 2, 4, 4, 5, 3, 3, 2, 2, 3, 
## 4, 4, 3, 4, 4, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 
## 3, 2, 8, 4, 2, 1, 1, 5, 3, 3, 5, 3, 4, 5, 3, 4, 4, 4, 3, 4, 5, 
## 5, 3, 3, 3, 3, 3, 4, 4, 5, 70, 70, 68, 68, 69, 69, 67, 68, 70, 
## 69, 69, 68, 69, 68, 69, 69, 69, 69, 69, 69, 69, 70, 69, 68, 68, 
## 70, 70, 70, 71, 70, 68, 70, 68, 70, 69, 73, 68, 70, 70, 69, 70, 
## 69, 70, 71, 68, 69, 70, 68, 69, 70, 69, 70, 71, 71, 70, 70, 70, 
## 72, 69, 69, 71, 73, 71, 68, 68, 68, 67, 73, 72, 71, 68, 69, 68, 
## 70, 73, 71, 67, 65, 70, 69, 72, 70, 67, 72, 68, 70, 70, 69, 70, 
## 69, 71, 66, 66, 69, 69, 71, 70, 71, 68, 67, 67, 72, 72, 70, 70, 
## 71, 69, 67, 70, 71, 71, 68, 71, 71, 72, 70, 73, 68, 70, 69, 71, 
## 68, 68, 68, 72, 71, 70, 69, 68, 72, 71, 71, 70, 69, 71, 68, 70, 
## 70, 71, 68, 72, 70, 72, 68, 70, 71, 71, 69, 70, 69, 69, 69, 70, 
## 70, 71, 68, 68, 72, 67, 71, 68, 69, 68, 72, 67, 69, 67, 70, 71, 
## 70, 70, 70, 70, 70, 71, 71, 66, 68, 71, 70, 72, 72, 72, 69, 69, 
## 72, 66, 72, 73, 68, 74, 74, 73, 70, 68, 73, 72, 68, 66, 67, 68, 
## 73, 69, 69, 71, 70, 70, 73, 71, 67, 70, 70, 71, 70, 66, 71, 67, 
## 69, 68, 69, 71, 72, 70, 72, 70, 69, 68, 68, 70, 73, 69, 70, 70, 
## 68, 68, 69, 69, 70, 73, 70, 70, 71, 69, 70, 72, 74, 71, 65, 68, 
## 69, 72, 67, 72, 68, 67, 72, 68, 69, 71, 71, 71, 72, 70, 68, 71, 
## 70, 71, 68, 69, 70, 71, 71, 70, 71, 71, 69, 71, 70, 68, 69, 68, 
## 70, 69, 70, 76, 71, 67, 72, 67, 66, 73, 71, 68, 68, 69, 70, 69, 
## 71, 71, 71, 70, 73, 73, 70, 68, 69, 72, 68, 69, 70, 70, 70, 69, 
## 72, 70, 69, 43, 36, 44, 46, 45, 45, 40, 44, 38, 36, 47, 40, 36, 
## 46, 45, 46, 47, 44, 47, 47, 44, 48, 46, 46, 46, 45, 44, 45, 46, 
## 45, 43, 44, 44, 45, 45, 43, 44, 44, 43, 44, 44, 45, 44, 45, 42, 
## 43, 44, 44, 43, 43, 44, 43, 45, 44, 43, 46, 46, 45, 45, 44, 44, 
## 43, 45, 45, 46, 44, 46, 44, 45, 44, 46, 44, 45, 47, 42, 44, 45, 
## 45, 44, 45, 46, 45, 44, 45, 44, 44, 46, 44, 44, 45, 44, 45, 45, 
## 45, 45, 44, 46, 46, 45, 46, 46, 46, 45, 46, 47, 45, 45, 45, 45, 
## 44, 43, 46, 45, 46, 48, 46, 45, 44, 46, 44, 43, 44, 46, 44, 46, 
## 44, 46, 42, 44, 44, 47, 47, 50, 45, 64, 63, 64, 66, 60, 67, 61, 
## 65, 62, 58, 64, 60, 63, 47, 45, 45, 46, 46, 45, 46, 45, 90, 42, 
## 52, 46, 46, 47, 47, 40, 40, 44, 44, 46, 45, 44, 45, 42, 43, 44, 
## 48, 45, 41, 47, 57, 64, 43, 22, 44, 45, 45, 45, 48, 48, 43, 44, 
## 43, 48, 41, 44, 44, 45, 44, 43, 42, 42, 43, 45, 43, 44, 47, 46, 
## 42, 44, 45, 47, 45, 45, 45, 47, 45, 46, 46, 45, 42, 44, 47, 42, 
## 42, 41, 42, 38, 39, 37, 35, 42, 37, 60, 56, 49, 47, 51, 50, 48, 
## 40, 36, 38, 41, 36, 41, 41, 39, 37, 44, 43, 43, 43, 41, 46, 42, 
## 43, 41, 42, 48, 47, 52, 51, 47, 43, 46, 44, 45, 46, 44, 45, 45, 
## 47, 43, 43, 45, 46, 44, 43, 45, 47, 44, 44, 47, 46, 46, 43, 45, 
## 44, 44, 46, 44, 46, 45, 46, 47, 46, 44, 44, 44, 46, 44, 44, 44, 
## 45, 45, 45, 43, 43, 43, 42, 47, 49, 41, 40, 44, 41, 44, 46, 45, 
## 44, 46, 43, 45, 45, 45, 45, 45, 45, 45, 44, 46, 45, 45, 46, 47, 
## 46, 45, 43, 44, 42, 44, 43, 44, 44, 43, 44, 43, 42, 45, 45, 45, 
## 45, 45, 44, 44, 45, 45, 44, 45, 42, 46, 46, 44, 45, 43, 46, 46, 
## 45, 42, 44, 45, 43, 44, 44, 44, 45, 46, 43, 45, 45, 47, 44, 46, 
## 43, 44, 46, 44, 44, 43, 45, 46, 41, 42, 43, 44, 46, 48, 47, 44, 
## 49, 45, 43, 43, 43, 44, 44, 43, 44, 44, 44, 44, 44, 43, 44, 43, 
## 44, 45, 48, 46, 45, 45, 43, 44, 42, 44, 44, 43, 44, 44, 42, 44, 
## 41, 42, 43, 46, 43, 44, 44, 44, 45, 47, 44, 46, 44, 42, 45, 44, 
## 44, 45, 45, 42, 45, 45, 44, 43, 43, 47, 44, 45, 44, 45, 42, 45, 
## 45, 43, 43, 45, 46, 44, 45, 45, 44, 43, 46, 44, 47, 42, 44, 43, 
## 42, 44, 43, 45, 46, 43, 44, 44, 40, 45, 45, 45, 47, 45, 44, 44, 
## 42, 45, 43, 45, 46, 44, 45, 44, 46, 45, 45, 42, 42, 46, 46, 47, 
## 45, 44, 45, 45, 46, 43, 43, 44, 46, 45, 45, 44, 44, 42, 40, 41, 
## 44, 44, 43, 44, 43, 43, 45, 46, 44, 47, 44, 45, 46, 47, 49, 47, 
## 42, 43, 43, 42, 44, 46, 43, 43, 45, 45, 5, 3, 4, 1, 2, 3, 6, 
## 7, 6, 0, 4, 3, 5, 4, 4, 1, 3, 5, 5, 6, 5, 3, 2, 4, 4, 3, 4, 3, 
## 2, 3, 1, 4, 3, 3, 4, 4, 5, 3, 4, 2, 6, 6, 4, 2, 1, 5, 6, 3, 2, 
## 5, 6, 6, 1, 5, 5, 1, 3, 3, 3, 3, 5, 4, 2, 3, 3, 2, 3, 7, 3, 6, 
## 4, 2, 7, 2, 4, 2, 2, 1, 5, 3, 4, 4, 7, 6, 5, 2, 1, 4, 1, 4, 4, 
## 3, 4, 5, 4, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 3, 6, 3, 5, 5, 3, 
## 4, 4, 6, 6, 6, 4, 5, 5, 2, 3, 4, 4, 3, 2, 4, 3, 4, 4, 3, 4, 6, 
## 4, 5, 5, 4, 2, 3, 4, 6, 2, 2, 3, 3, 4, 3, 0, 0, 5, 2, 3, 4, 5, 
## 3, 4, 4, 5, 6, 5, 5, 6, 4, 3, 4, 3, 2, 1, 2, 5, 4, 2, 4, 5, 5, 
## 5, 3, 6, 3, 1, 1, 5, 5, 4, 2, 3, 2, 5, 7, 6, 2, 0, 3, 5, 1, 4, 
## 5, 4, 5, 2, 5, 1, 1, 2, 3, 5, 6, 2, 4, 3, 6, 4, 4, 3, 4, 4, 2, 
## 4, 3, 2, -1, 4, 4, 4, 3, 3, 3, 3, 4, 4, 6, 5, 3, 2, 2, 3, 6, 
## 2, 6, 6, 4, 3, 4, 4, 3, 2, 3, 3, 2, 4, 3, 1, 7, 5, 5, 1, 1, 4, 
## 4, 4, 2, 3, 1, 2, 0, 0, 4, 5, 4, 1, 2, 5, 4, 4, 3, 3, 4, 2, 4, 
## 2, 3, 4, 4, 4, 2, 3, 3, 5, 4, 4, 6, 4, 4, 4, 4, 4, 3, 3, 5, 4, 
## 4, 4, 3, 4, 4, 3, 4, 4, 5, 2, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 
## 4, 3, 1, 4, 5, 7, 5, 5, 6, 4, 3, 5, 4, 5, 2, 4, 3, 1, 3, 5, 4, 
## 1, 4, 2, 2, 4, 2, 5, 2, 2, 2, 4, 2, 3, 3, 4, 2, 7, 5, 3, 5, 4, 
## 5, 0, 2, 8, 3, 3, 3, 7, 9, 5, 2, 2, 4, 1, 1, 3, 2, 2, 3, 0, 1, 
## 1, 3, 3, 0, -1, 3, 5, 2, 2, -1, 3, 1, -1, 0, 3, 1, 3, 3, 4, 3, 
## 1, 1, 1, 2, 5, 2, -1, -1, 1, 3, 2, 0, 4, 2, 3, 3, 2, 3, 2, 2, 
## 3, 2, 0, 3, 2, 2, 0, 2, 5, 2, 2, 0, 0, 3, 3, 3, 4, 2, 1, 4, 3, 
## 3, 6, 6, -1, -1, 4, 4, 3, 2, 3, 5, 1, -1, 0, 1, 4, 2, 1, 1, 2, 
## 1, 1, 3, 3, 4, 3, 3, 2, 2, 1, 1, 3, 3, 2, 1, -1, 7, 2, -2, 4, 
## 0, 3, 3, 1, 2, 2, 4, 1, 1, 3, 2, 1, 1, 7, 6, 2, -1, 3, 4, 6, 
## 5, 0, 3, 4, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 1, 11, 
## -2, -1, 3, 5, -1, -2, 8, 7, -3, 1, 3, 0, -3, 13, 7, -4, -3, -4, 
## -1, 1, 11, 9, 5, -2, 9, 5, 0, 0, 5, 3, 0, 0, 1, 3, 3, 1, 0, 3, 
## 3, 2, 1, 3, 1, 3, 4, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 
## 3, 3, 3, 3, 4, 4, 3, 5, 1, 4, 5, 5, 3, 2, 2, -2, 0, 6, 5, -1, 
## 6, 6, 6, 3, 1, 3, 3, 5, 4, 3, 4, 5, 4, 4, 1, 3, 5, 3, 3, 4, 5, 
## 5, 2, 3, 5, 5, 7, 4, 4, 1, 6, 3, 3, 4, 4, 2, 1, 4, 4, 2, 4, 5, 
## 4, 4, 3, 2, 5, 4, 5, 5, 5, 3, 5, 3, 6, 5, 3, 4, 2, 2, 1, 6, 1, 
## 3, 8, 3, 4, 5, 4, 7, 3, 4, 6, 5, 4, 1, 0, 2, 4, 4, 2, 2, 6, 4, 
## 5, 6, 2, 2, 2, 4, 4, 5, 5, 4, 4, 4, 4, 0, 1, 0, 0, 2, 5, 3, 6, 
## 5, 2, 5, 3, 6, 5, 2, 1, 4, 4, 2, 1, 4, 2, 4, 3, 4, 1, 7, 2, 3, 
## 4, 1, 2, 2, 5, 6, 5, 4, 4, -2, 3, 2, 4, 3, 5, 5, 4, 1, 4, 11, 
## 0, 3, 2, 3, 3, 3, 6, 1, 4, 4, 4, 4, 3, 5, 6, 2, 4, 4, 3, 4, 2, 
## 3, 1, -3, 7, 9, 8, 0, 7, 3, 9, 0, 2, -1, 8, 3, 6, 5, 0, 2, 1, 
## 4, 7, 3, 4, 3, 2, 3, 2, 6, 2, 5, 5, 4, 2, -1, 3, 7, 3, 1, 1, 
## 3, 2, 5, 0, 2, 5, 2, 5, 5, 4, 6, 4, 4, 2, 1, 2, 4, 2, 3, 5, 8, 
## 4, 1, 3, 1, 4, 3, 5, 1, 7, 2, 3, 3, 2, 3, 3, 6, 3, 6, 3, 0, -3, 
## 9, 12, 7, 1, 2, 2, 2, 6, 5, 2, 4, 1, 5, 1, 9, 4, 5, 2, 2, 5, 
## 4, 2, 3, 3, 2, 2, 7, 5, 2, 2, 3, 4, 4, 2, 4, 6, 2, 3, 2, 1, 4, 
## 0, 6, 3, 5, 4, 2, 5, 2, 3, 0, 9, 3, 8, 6, 4, 0, 1, 5, 4, 2, 5, 
## 3, 3, 3, 4, 4, 7, 4, 4, 4, 5, 3, 3, 4, 4, 5, 4, 3, 2, 4, 3, 3, 
## 4, 3, 3, 3, 5, 2, 5, 4, 3, 4, 3, 4, 4, 3, 4, 3, 6, 5, 4, 3, 3, 
## 3, 4, -2, 4, 0, 1, 7, 2, 2, 0, 1, 1, 1, 3, 2, 1, 2, 2, 2, 3, 
## 3, 3, -1, 0, 0, 1, 3, 1, 2, 2, 2, 3, 5, 3, 1, 1, 0, 2, 2, 1, 
## 1, 2, 4, 2, 1, 2, 1, -1, -2, 1, 4, 1, 3, 4, 6, 3, 1, -1, 4, 4, 
## 2, 1, 1, 1, 3, 1, 1, 2, 1, 3, 5, -1, 1, -2, 5, 1, 9, 7, 6, -7, 
## 0, 3, 2, 3, 1, 0, 1, -1, 1, 0, 2, 1, 0, -1, 1, 1, 4, 7, 6, 5, 
## 2, 3, 3, 1, 0, 1, 2, 3, 1, -2, 0, 3, 4, 2, 2, 2, 4, 0, 4, 0, 
## 0, 2, 5, 2, 1, 5, 3, 2, -3, 6, 3, 4, 6, -1, 4, 4, 2, 3, 3, 0, 
## 2, 4, -1, 3, 1, 3, -1, 3, 4, 5, 5, -1, 6, 0, 5, 0, 3, 7, -1, 
## -4, -2, 2, 2, 0, 4, 3, 2, 3, 0, 5, 1, 1, 2, 0, 4, 3, 1, 6, 4, 
## 1, 3, 4, 2, 3, 5, -1, 1, 3, 6, 2, 8, 0, 2, 2, 3, 2, -2, 0, 5, 
## 1, 3, 3, 5, 1, 1, 5, 5, 3, 0, 2, 1, 1, 0, 1, 2, 4, 0, 0, 3, 0, 
## 9, 7, 3, 0, 21, 5, -4, -2, 1, 1, -1, 2, -2, -2, 1, -1, 7, 5, 
## 3, 3, 2, 3, 1, 1, 1, -1, 3, 3, 2, 4, 2, 2, 5, 5, 7, 1, 1, 6, 
## -4, -1, 3, -2, 2, 6, 3, 1, 3, 0, 8, 3, -4, 3, 4, 3, 1, 1, -3, 
## 6, 1, 4, 4, 7, 2, 2, 1, 0, 2, 4, 0, 0, -3, 3, 2, 3, 4, 2, 1, 
## 2, 2, 1, 4, 3, 2, 2, 4, 2, 0, 4, 4, 4, 2, 7, 5, 1, 3, 4, 7, -2, 
## 0, -2, 1, 2, 6, 0, 3, 1, 1, 5, 0, 2, 7, 1, 7, 10, 3, 3, 3, 3, 
## -2, -1, 1, 0, 1, -2, 0, -1, 2, 1, 3, 6, 0, 2, 2, 1, 1, 4, 5, 
## 2, -2, 0, 2, 4, 4, 6, -1, -1, 8, 0, 3, 2, -1, 2, 4, 2, 4, 2, 
## 2, 3, 2, 1, 0, 3, 2, 5, 2, 2, -2, 4, 4, 3, 8, 1, -1, 7, -3, 3, 
## 4, 3, 6, -1, -2, -3, -1, 0, -2, -1, 0, -1, 1, 5, 1, 7, 8, 2, 
## -1, -2, 3, 5, 4, 2, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, -2, -1, 3, 
## 5, 2, 4, 6, -1, -2, -3, 0, 2, 4, 2, 2, 2, 0, 6, 5, 5, 2, 2, 3, 
## 2, 5, 0, 2, 2, 2, 1, 2, 6, 0, 4, 0, 1, 4, 2, 5, 4, 3, 3, 4, 4, 
## 4, 3, 5, 1, 8, 7, 4, 4, 3, 4, 2, 1, 4, 3, 2, 2, 3, 4, 6, 2, 42, 
## 46, 45, 47, 44, 45, 43, 43, 44, 46, 44, 44, 47, 46, 46, 45, 45, 
## 43, 46, 45, 44, 45, 44, 45, 44, 46, 44, 42, 44, 45, 43, 44, 43, 
## 45, 46, 45, 42, 45, 45, 44, 44, 46, 44, 46, 45, 44, 45, 45, 43, 
## 43, 43, 45, 45, 44, 46, 46, 44, 43, 45, 46, 45, 44, 44, 45, 44, 
## 44, 45, 45, 44, 45, 45, 47, 46, 45, 44, 45, 44, 43, 45, 45, 45, 
## 43, 43, 42, 45, 47, 46, 49, 47, 47, 43, 45, 44, 45, 46, 45, 47, 
## 44, 74, 71, 65, 61, 62, 64, 64, 65, 64, 65, 64, 63, 62, 62, 64, 
## 64, 59, 54, 57, 60, 66, 59, 68, 56, 76, 58, 52, 68, 66, 68, 64, 
## 65, 64, 63, 62, 64, 63, 65, 63, 63, 63, 63, 65, 62, 63, 61, 66, 
## 63, 64, 69, 66, 63, 60, 61, 61, 62, 60, 59, 61, 59, 62, 61, 60, 
## 62, 62, 61, 63, 73, 74, 55, 66, 62, 65, 66, 66, 62, 61, 66, 61, 
## 64, 65, 55, 62, 59, 63, 67, 60, 61, 59, 61, 62, 61, 62, 62, 66, 
## 67, 61, 64, 62, 60, 59, 61, 63, 64, 65, 61, 62, 64, 64, 61, 62, 
## 60, 63, 65, 64, 65, 63, 64, 63, 62, 64, 63, 64, 63, 65, 61, 63, 
## 63, 59, 66, 62, 59, 60, 61, 60, 62, 63, 63, 64, 63, 63, 61, 63, 
## 60, 64, 63, 64, 59, 63, 64, 64, 66, 65, 64, 64, 67, 58, 67, 67, 
## 64, 65, 61, 64, 64, 63, 63, 61, 63, 64, 65, 62, 62, 59, 58, 58, 
## 63, 65, 62, 64, 63, 62, 66, 59, 64, 62, 62, 60, 61, 64, 64, 63, 
## 58, 67, 63, 65, 62, 61, 63, 60, 64, 61, 60, 66, 65, 62, 62, 61, 
## 62, 61, 63, 59, 67, 62, 65, 63, 64, 64, 62, 64, 65, 66, 60, 62, 
## 62, 59, 64, 62, 62, 63, 64, 64, 61, 57, 68, 64, 63, 62, 65, 60, 
## 62, 60, 63, 62, 63, 63, 61, 63, 63, 63, 62, 61, 63, 61, 63, 63, 
## 61, 61, 64, 67, 66, 62, 63, 60, 65, 64, 64, 66, 63, 62, 60, 61, 
## 63, 62, 63, 62, 60, 65, 65, 58, 60, 65, 62, 64, 60, 64, 63, 62, 
## 64, 65, 62, 61, 64, 62, 60, 65, 63, 60, 64, 62, 62, 63, 62, 63, 
## 60, 66, 64, 62, 62, 61, 66, 62, 63, 64, 59, 59, 59, 61, 65, 63, 
## 63, 64, 61, 63, 65, 62, 60, 61, 60, 67, 67, 62, 62, 67, 67, 64, 
## 64, 59, 63, 59, 60, 61, 62, 62, 63, 65, 64, 61, 61, 63, 61, 61, 
## 65, 61, 63, 63, 62, 60, 60, 62, 65, 65, 65, 64, 63, 64, 65, 65, 
## 65, 62, 62, 62, 63, 65, 63, 64, 62, 67, 64, 58, 62, 58, 65, 66, 
## 60, 69, 69, 63, 57, 65, 62, 64, 63, 62, 60, 60, 60, 61, 63, 62, 
## 64, 64, 61, 63, 62, 64, 64, 62, 65, 65, 60, 60, 65, 62, 63, 61, 
## 64, 65, 59, 60, 60, 65, 65, 62, 64, 62, 60, 64, 64, 61, 62, 64, 
## 63, 62, 62, 62, 62, 63, 62, 44, 45, 42, 44, 46, 45, 44, 42, 44, 
## 48, 44, 45, 46, 43, 45, 45, 46, 44, 42, 43, 44, 44, 46, 46, 43, 
## 45, 45, 45, 45, 40, 44, 42, 45, 44, 43, 46, 44, 45, 43, 44, 44, 
## 43, 41, 41, 44, 42, 43, 45, 46, 45, 45, 46, 46, 44, 43, 45, 44, 
## 42, 43, 44, 45, 44, 44, 43, 45, 44, 45, 63, 60, 62, 61, 57, 63, 
## 67, 62, 66, 62, 63, 62, 62, 63, 61, 63, 63, 66, 61, 63, 64, 62, 
## 63, 60, 61, 64, 58, 64, 68, 65, 64, 62, 60, 64, 63, 64, 63, 63, 
## 62, 67, 61, 58, 62, 62, 61, 68, 58, 61, 61, 64, 61, 60, 59, 62, 
## 61, 63, 63, 61, 64, 64, 64, 60, 61, 66, 65, 62, 64, 64, 63, 64, 
## 75, 82, 83, 75, 52, 60, 66, 71, 71, 63, 54, 47, 53, 1, 4, 1, 
## 2, 2, 3, 4, 4, 4, 0, 2, 0, -1, 1, 2, 1, 1, 4, 5, 3, 1, -1, 2, 
## 2, -1, 1, 2, 2, 0, -2, -3, 1, 2, 3, 1, 0, 3, 4, 1, 3, 3, 2, 3, 
## -1, 4, 5, 6, 2, 6, 6, 5, 2, 3, 4, 2, 0, 4, 3, 3, 3, 1, 3, 4, 
## 4, 3, 4, 4, 6, 5, 3, 2, 5, 2, 3, 4, 3, 3, 2, 4, 4, 5, 4, 5, 3, 
## 2, 2, 5, 3, 3, 3, 6, 3, 2, 1, 3, 4, 2, 2, 3, 3, 1, 5, 1, 2, 5, 
## 4, 3, 4, 5, 3, 4, 1, 4, 4, 5, 3, 4, 5, 5, 4, 1, 4, 3, 4, 4, 7, 
## 6, 2, 4, 4, 4, 4, 4, 1, 2, 4, 2, 2, 4, 3, 4, 4, 3, 4, 4, 3, 7, 
## 2, 4, 3, 3, 5, 6, 7, 2, 3, 4, 4, 2, 4, 4, 2, 3, 3, 3, 3, 2, 4, 
## 3, 71, 70, 68, 68, 68, 71, 70, 71, 68, 68, 71, 72, 72, 75, 69, 
## 71, 67, 72, 71, 72, 71, 67, 67, 70, 68, 72, 73, 68, 69, 68, 72, 
## 72, 70, 71, 71, 69, 70, 69, 68, 69, 71, 71, 69, 72, 69, 71, 73, 
## 71, 68, 72, 71, 69, 70, 71, 68, 68, 70, 1, 7, 0, 2, 4, 3, 3, 
## 5, 1, 3, 1, 3, 3, 5, 5, 3, 72, 68, 70, 70, 68, 67, 70, 68, 72, 
## 70, 67, 70, 71, 72, 67, 70, 74, 68, 71, 69, 70, 70, 73, 70, 71, 
## 71, 66, 73, 69, 70, 71, 69, 69, 69, 69, 68, 71, 73, 65, 71, 70, 
## 72, 71, 66, 66, 70, 78, 72, 74, 72, 71, 74, 72, 72, 65, 72, 69, 
## 65, 66, 72, 70, 69, 72, 72, 61, 69, 69, 75, 76, 72, 69, 69, 70, 
## 68, 72, 70, 71, 72, 72, 73, 73, 69, 74, 74, 72, 75, 73, 69, 69, 
## 67, 70, 71, 70, 67, 73, 68, 68, 70, 74, 75, 72, 69, 70, 68, 65, 
## 69, 72, 74, 73, 71, 71, 70, 70, 70, 69, 71, 69, 73, 68, 69, 69, 
## 71, 74, 67, 73, 74, 70, 71, 68, 65, 71, 72, 75, 72, 74, 68, 66, 
## 71, 74, 70, 70, 71, 77, 66, 73, 69, 68, 71, 73, 69, 69, 70, 74, 
## 70, 71, 70, 71, 69, 67, 77, 74, 71, 68, 72, 67, 74, 70, 69, 68, 
## 76, 68, 69, 71, 73, 68, 71, 69, 71, 71, 70, 69, 71, 70, 73, 71, 
## 70, 70, 74, 71, 71, 69, 73, 66, 67, 66, 75, 71, 67, 70, 66, 67, 
## 76, 74, 68, 74, 73, 74, 74, 69, 60, 71, 73, 71, 68, 69, 72, 71, 
## 69, 69, 72, 70, 70, 70, 71, 68, 69, 66, 71, 71, 69, 67, 72, 74, 
## 72, 71, 74, 67, 67, 68, 72, 67, 72, 64, 69, 68, 75, 73, 70, 3, 
## 1, 4, 3, 3, 3, 5, 0, 2, 5, 8, 1, 3, 4, 4, 2, 4, 1, 9, 3, 5, 8, 
## 2, 7, 1, 2, 3, 3, 3, 4, 3, 3, 1, 2, 5, 7, 3, 8, 3, 2, 3, 3, 0, 
## 4, 4, 3, 2, 5, 2, 2, 3, 1, 3, 2, 6, 4, 4, 1, 2, 9, 7, 4, 3, 3, 
## 1, 2, 0, 4, 5, 4, 3, 1, 1, 5, 4, 4, 6, 3, 4, 3, 2, 2, 0, 5, 1, 
## 2, 1, 3, 2, 6, 4, 3, 4, 3, 3, 2, 3, -1, 4, 6, 2, 1, 5, 0, 2, 
## 2, 6, 3, 5, 1, 6, 6, 3, 2, 4, 6, 3, 1, 4, 3, 1, 4, 2, 2, 3, 1, 
## 3, 3, 3, 4, 2, 6, 3, 4, 3, 2, 1, 6, 7, -1, 4, 3, 0, 3, 4, 5, 
## 5, 7, 4, 1, 2, 2, 2, 4, 4, 3, 3, 3, 3, 6, 6, 6, 1, 5, 4, 4, 2, 
## 1, 4, 1, 0, 3, 7, 5, 3, 3, -1, 1, 5, 4, 9, 3, 4, 6, 1, 2, 2, 
## 2, 2, 0, 3, 1, 4, 5, 6, 5, 4, 6, 1, 3, 0, 3, 4, 5, 4, 1, 0, 2, 
## 3, 6, 7, 5, 4, 3, 4, 0, 1, 5, 9, 2, 2, 4, 5, 4, -1, 1, 7, 0, 
## 0, 7, 5, 5, 4, 1, 1, 3, 2, 3, 4, 5, 5, 6, 4, 4, 2, 1, 0, 3, 2, 
## 0, 5, 5, 3, 5, 4, 2, 7, 4, 7, 0, 0, 2, 4, 5, 1, 2, 2, 3, 3, 3, 
## 2, 4, 6, 3, 3, 5, 5, 6, 4, 4, 3, 1, 5, 5, 1, 4, 5, 0, 6, 4, 3, 
## 4, 7, 5, 5, 2, 2, 0, 4, 7, 5, 8, 3, 6, 3, -1, 6, 5, 2, 4, 4, 
## 2, 3, 1, 5, 4, 6, 2, 1, 4, 4, 4, 2, 4, 4, 6, 2, 2, 1, 2, 3, 6, 
## 4, 0, 4, 4, 2, 6, 5, 4, 4, 4, 2, 0, -1, 3, 4, 5, 3, 5, 3, 3, 
## 3, -2, 9, 7, 1, 5, 6, 6, 2, 2, 2, 4, 4, 2, 6, 1, 5, 2, 6, 1, 
## 2, 5, 2, 2, 4, 3, 5, 5, 6, 4, 5, 4, 3, 6, 4, 1, 4, 4, 2, 3, 4, 
## 6, 5, 3, 5, 4, 2, 3, 4, 6, 3, 4, 4, 6, 4, 6, 4, 5, 3, 3, 2, 5, 
## 4, 5, 2, 5, 2, 2, 3, 4, 3, 3, 4, 4, 3, 5, 3, 2, 4, 3, 3, 4, 3, 
## 3, 4, 4, 4, 2, 1, 3, 7, 5, 4, 2, 3, 3, 7, 5, 5, 5, 5, 2, 1, 3, 
## 2, 2, 5, 4, 4, 4, 2, 5, 3, 4, 1, 3, 4, 4, 2, 1, 4, 6, 5, 4, 2, 
## 4, 4, 2, 0, 7, 3, 1, 8, 1, 1, 3, 5, 5, 4, 3, 3, 3, 5, 5, 6, 6, 
## 2, -11, 7, 4, 0, 0, 1, 2, 3, 1, 4, 4, 5, 1, 4, 3, 1, 2, 2, 5, 
## 3, 3, 3, 5, 4, 6, 3, 3, 3, 5, 5, 5, 3, 2, 5, 2, 3, 3, 3, 5, 4, 
## 6, 1, 1, 2, 5, 1, 3, 5, 0, -1, 4, 1, 5, 3, 9, -1, 8, 2, 5, 5, 
## 0, 2, 5, 1, 3, 6, 3, 3, 2, 1, 1, -5, 4, 3, 0, -1, -4, 1, 5, 6, 
## 6, 0, 5, -3, 5, 4, -1, 11, 9, 2, 7, 6, 5, 1, -4, -1, 0, 1, 2, 
## 2, 0, 4, 2, -1, 2, 1, 0, 6, 4, 5, -5, 8, 8, 5, -3, -1, 3, 7, 
## 4, 8, 9, 5, 3, -2, -2, -1, 2, 0, 1, -1, -1, 3, 0, 3, 4, 6, 3, 
## 8, 4, 2, 4, 2, 1, 0, 2, -1, 5, 7, 4, 4, 6, 2, 1, 0, 0, 3, 0, 
## 4, 5, 3, 8, 6, 0, -2, -1, 4, 5, 2, -1, 4, 6, 5, 2, -1, 0, 4, 
## 5, 6, -1, 6, 3, 0, 1, 6, 1, 2, 0, 1, 0, 1, 4, 6, 6, 2, 5, 1, 
## 2, -2, 5, 2, -1, 4, 3, 3, 3, 0, 4, -1, -5, -3, 1, 6, 6, 2, 2, 
## 5, 1, 5, 0, 2, -1, 2, 4, -1, 0, 3, 6, 7, -7, -3, 8, 7, 2, -5, 
## 4, 7, -2, 0, 8, 4, -2, 4, 6, 3, 2, 1, 0, 4, 0, 1, 3, 4, 8, 3, 
## 8, 0, 1, 1, 3, 3, 4, 4, -1, 3, 2, 4, 7, 1, 3, 1, 42, 43, 45, 
## 41, 43, 49, 50, 45, 43, 41, 43, 42, 42, 46, 47, 43, 44, 49, 43, 
## 46, 41, 44, 42, 42, 44, 43, 43, 43, 41, 43, 45, 43, 45, 47, 42, 
## 43, 40, 43, 44, 43, 43, 41, 43, 41, 43, 42, 43, 45, 44, 43, 44, 
## 42, 44, 43, 44, 46, 43, 46, 43, 44, 43, 42, 42, 42, 40, 44, 41, 
## 45, 44, 42, 46, 43, 43, 43, 43, 45, 43, 42, 43, 42, 43, 45, 43, 
## 44, 44, 44, 45, 44, 45, 44, 43, 40, 45, 44, 41, 44, 43, 43, 41, 
## 45, 44, 44, 47, 45, 41, 43, 43, 44, 44, 42, 46, 46, 44, 45, 44, 
## 43, 41, 41, 46, 44, 44, 43, 44, 43, 43, 43, 44, 44, 45, 44, 46, 
## 46, 41, 43, 43, 44, 46, 43, 41, 45, 44, 45, 45, 44, 43, 44, 44, 
## 39, 48, 45, 45, 43, 41, 43, 43, 43, 41, 47, 43, 40, 43, 45, 44, 
## 43, 44, 45, 44, 43, 44, 45, 43, 46, 42, 43, 45, 48, 47, 40, 44, 
## 43, 45, 42, 43, 45, 44, 42, 43, 43, 42, 43, 44, 42, 44, 43, 43, 
## 45, 44, 42, 44, 43, 43, 42, 43, 42, 46, 43, 43, 44, 45, 42, 44, 
## 43, 45, 46, 41, 45, 45, 44, 43, 43, 42, 43, 45, 44, 41, 42, 47, 
## 47, 47, 46, 48, 44, 43, 39, 41, 42, 43, 44, 42, 44, 43, 43, 41, 
## 40, 43, 44, 43, 50, 50, 44, 37, 42, 40, 42, 37, 38, 43, 41, 43, 
## 43, 42, 46, 45, 44, 42, 40, 45, 44, 44, 43, 43, 43, 44, 43, 43, 
## 43, 47, 41, 46, 56, 51, 51, 58, 57, 53, 53, 46, 54, 42, 45, 34, 
## 44, 42, 44, 47, 30, 42, 41, 47, 43, 43, 43, 48, 40, 52, 47, 46, 
## 44, 46, 42, 41, 45, 42, 41, 43, 46, 44, 44, 43, 43, 43, 43, 40, 
## 45, 48, 42, 44, 44, 43, 43, 43, 44, 42, 41, 45, 45, 45, 44, 46, 
## 43, 43, 41, 42, 44, 46, 45, 44, 43, 46, 45, 45, 42, 43, 42, 42, 
## 42, 46, 42, 45, 42, 44, 43, 45, 46, 47, 45, 42, 44, 44, 44, 45, 
## 41, 42, 46, 44, 43, 47, 49, 40, 44, 46, 42, 40, 40, 44, 45, 42, 
## 43, 46, 42, 42, 42, 41, 48, 52, 47, 48, 45, 44, 40, 41, 40, 42, 
## 40, 44, 64, 63, 61, 65, 63, 62, 61, 62, 61, 62, 64, 67, 63, 62, 
## 60, 62, 62, 62, 65, 67, 57, 64, 67, 65, 63, 63, 65, 63, 62, 64, 
## 66, 64, 57, 60, 61, 60, 63, 60, 61, 64, 65, 62, 61, 63, 63, 62, 
## 65, 61, 62, 62, 64, 63, 63, 63, 62, 62, 62, 62, 64, 61, 63, 63, 
## 63, 65, 61, 62, 64, 61, 63, 62, 62, 67, 61, 58, 63, 65, 61, 61, 
## 61, 62, 61, 61, 66, 62, 61, 62, 62, 63, 61, 62, 62, 61, 63, 62, 
## 63, 61, 63, 61, 64, 64, 65, 58, 64, 61, 63, 62, 62, 64, 64, 64, 
## 62, 62, 63, 64, 64, 64, 63, 60, 60, 64, 62, 63, 61, 60, 61, 62, 
## 63, 64, 63, 63, 62, 60, 61, 62, 62, 62, 61, 64, 61, 59, 62, 62, 
## 62, 61, 63, 66, 64, 64, 62, 62, 64, 65, 61, 60, 63, 64, 62, 63, 
## 62, 62, 62, 63, 63, 64, 62, 67, 63, 63, 62, 63, 63, 62, 64, 64, 
## 62, 62, 58, 61, 62, 61, 61, 61, 61, 61, 60, 64, 64, 62, 64, 63, 
## 62, 62, 63, 62, 62, 62, 62, 62, 62, 63, 63, 62, 60, 61, 62, 63, 
## 66, 62, 63, 65, 66, 62, 63, 62, 62, 62, 63, 65, 65, 61, 62, 58, 
## 63, 62, 61, 62, 61, 60, 60, 61, 60, 61, 62, 64, 64, 63, 63, 59, 
## 62, 60, 65, 64, 62, 62, 60, 62, 66, 66, 66, 62, 61, 60, 61, 59, 
## 63, 62, 63, 62, 63, 64, 61, 62, 61, 61, 64, 67, 67, 62, 60, 63, 
## 65, 61, 62, 62, 61, 63, 63, 62, 63, 65, 64, 63, 63, 62, 60, 63, 
## 62, 63, 64, 63, 61, 61, 62, 60, 65, 59, 58, 63, 62, 64, 65, 60, 
## 59, 61, 61, 64, 61, 60, 63, 62, 61, 61, 62, 59, 59, 61, 65, 63, 
## 62, 63, 62, 61, 60, 60, 62, 64, 63, 64, 64, 62, 64, 62, 65, 62, 
## 61, 61, 61, 61, 57, 60, 64, 65, 61, 61, 60, 63, 59, 63, 61, 65, 
## 61, 63, 62, 61, 61, 63, 61, 63, 63, 63, 61, 62, 62, 61, 61, 65, 
## 62, 62, 61, 65, 65, 62, 62, 60, 71, 61, 60, 61, 64, 65, 63, 60, 
## 61, 58, 59, 63, 62, 61, 61, 64, 44, 43, 43, 42, 42, 44, 45, 45, 
## 43, 47, 44, 43, 43, 44, 44, 43, 43, 42, 42, 43, 42, 42, 43, 44, 
## 41, 42, 41, 47, 46, 46, 43, 45, 43, 47, 47, 46, 41, 43, 45, 45, 
## 44, 43, 44, 42, 42, 42, 44, 43, 43, 45, 45, 47, 48, 44, 42, 45, 
## 42, 41, 46, 44, 48, 47, 45, 42, 43, 44, 42, 43, 43, 43, 45, 44, 
## 64, 65, 64, 61, 61, 62, 61, 60, 61, 60, 62, 65, 62, 64, 63, 61, 
## 60, 62, 64, 61, 61, 63, 63, 66, 66, 64, 65, 63, 63, 64, 65, 61, 
## 64, 64, 65, 63, 63, 63, 65, 65, 64, 62, 60, 65, 62, 61, 62, 62, 
## 60, 61, 62, 63, 62, 65, 63, 62, 65, 64, 60, 64, 62, 64, 62, 64, 
## 65, 61, 2, 1, 2, -1, 0, 0, 2, 7, 1, 3, 4, 0, 3, 5, 1, 3, 2, 4, 
## -2, -2, -4, 1, 5, 0, 1, 3, 1, -1, -1, -2, 1, 8, 6, 5, 2, 10, 
## 3, 1, 11, -5, -4, -1, -1, 0, 5, 1, 3, 8, 1, 0, 4, 4, 3, 6, 4, 
## 1, 5, 5, 0, -1, 14, 13, 5, -3, -3, 2, 1, -1, 0, 3, 1, 4, 7, -2, 
## 4, 5, 4, 1, 1, 2, 4, 9, 4, 7, 3, 4, 3, 2, 5, 1, 2, 1, 7, 7, 4, 
## 3, 5, 6, 4, 4, 1, 1, 0, 1, 4, 2, 1, 3, 6, 6, 1, 3, 4, 1, 1, 7, 
## 3, -2, 3, 6, 4, 2, 3, 0, 5, 2, 3, 5, 1, 3, 4, 3, 3, 3, 2, 4, 
## 2, 3, 2, 3, 3, 4, 4, 4, 3, 3, 5, 6, 2, 6, 4, 3, 5, 2, 5, 2, 4, 
## 5, 5, 5, 4, 1, 1, 3, 2, 3, 69, 70, 71, 71, 69, 70, 68, 70, 68, 
## 70, 71, 71, 68, 69, 70, 72, 71, 71, 69, 71, 69, 69, 69, 69, 75, 
## 70, 68, 67, 74, 73, 69, 5, 4, 4, 3, 0, 5, 4, 3, 1, 3, 5, 4, 2, 
## -1, 4, 6, 7, 6, 4, -1, 3, 2, 0, 5, 4, 2, 3, -1, 3, 3, 5, 7, 7, 
## 4, 3, 5, 1, 0, 3, 8, 2, 4, 1, 5, 2, 6, 5, 4, 7, 3, 0, 5, 6, 6, 
## 1, 6, 4, 5, 4, 5, 4, 2, 3, 5, 3, 4, 6, 1, 2, 5, 3, 3, 2, 5, 6, 
## 2, 5, 4, 4, 2, 4, 2, 3, 6, 5, 5, 2, 3, 2, 5, 3, 3, 1, 4, 3, 3, 
## 4, 5, 3, 5, 5, 5, 1, 1, 2, 3, 6, 3, 4, 2, 4, 2, 3, 6, 6, 4, 4, 
## 3, 3, 2, 4, 5, 5, 4, 5, 4, 3, 4, 5, 6, 6, 4, 74, 74, 71, 68, 
## 68, 74, 71, 69, 68, 69, 70, 69, 70, 71, 68, 69, 71, 72, 72, 69, 
## 74, 74, 65, 74, 72, 72, 72, 70, 73, 69, 70, 69, 70, 72, 70, 70, 
## 73, 73, 74, 71, 69, 73, 69, 75, 73, 69, 70, 69, 70, 69, 69, 67, 
## 77, 76, 71, 66, 71, 67, 68, 68, 70, 70, 70, 69, 71, 69, 69, 69, 
## 70, 69, 71, 72, 69, 71, 70, 71, 71, 68, 69, 71, 70, 69, 67, 68, 
## 72, 70, 71, 69, 70, 74, 71, 74, 72, 69, 69, 71, 69, 71, 69, 70, 
## 69, 70, 71, 72, 70, 68, 69, 73, 71, 70, 72, 69, 72, 68, 78, 73, 
## 68, 69, 70, 70, 71, 68, 69, 70, 70, 72, 73, 70, 73, 70, 73, 71, 
## 70, 70, 72, 70, 67, 71, 70, 68, 70, 69, 70, 71, 69, 69, 69, 71, 
## 69, 68, 72, 72, 71, 71, 72, 68, 69, 69, 71, 71, 71, 70, 72, 69, 
## 71, 69, 69, 69, 70, 70, 71, 71, 71, 71, 69, 72, 71, 70, 73, 72, 
## 71, 70, 70, 70, 72, 71, 71, 69, 67, 70, 70, 68, 69, 72, 71, 67, 
## 72, 69, 71, 70, 71, 68, 70, 72, 71, 70, 72, 70, 70, 71, 72, 69, 
## 70, 71, 69, 68, 72, 70, 72, 69, 70, 69, 67, 64, 70, 73, 71, 69, 
## 71, 71, 68, 73, 70, 69, 70, 71, 71, 5, 5, 4, -3, 2, 5, 7, 1, 
## 1, 5, 3, 6, 6, 0, 0, 5, 2, 3, 4, 4, 5, 4, 4, 2, 4, 4, 4, 6, 5, 
## 5, 6, 1, 3, 4, 3, 3, 2, 3, 3, 5, 3, 3, 4, 2, 4, 3, 3, 4, 3, 5, 
## 3, 7, 4, 4, 5, 4, 6, 4, -1, 1, 2, 3, 2, 3, 3, 4, 4, 3, 6, 4, 
## 4, 7, 1, -3, 3, 4, 2, 3, 3, 1, 3, 3, 2, 4, 4, 4, 4, 7, 1, 0, 
## 2, 1, 4, 4, 2, 1, 1, 3, 7, 4, 4, 6, 3, 2, 3, 4, 2, 3, 6, 5, 3, 
## 1, 3, 4, 4, 3, 5, 6, 5, 4, 0, 3, 3, 3, 3, 5, 3, 5, 3, 3, 2, 4, 
## 3, 5, 5, 2, 5, 4, 3, 2, 3, 3, 2, 6, 4, 1, 6, 5, 4, 2, 1, 4, 4, 
## 3, 0, 4, 1, 3, 5, 3, 3, 2, 3, 2, 5, 5, 2, 2, 0, 2, 4, 2, 5, 2, 
## 5, 1, 1, 3, 9, 4, 1, 4, 6, 4, 2, -1, 4, 1, 1, 6, 3, 4, 6, 4, 
## 0, 2, 2, 1, 3, 1, 3, 3, 4, 3, 6, 2, 4, 2, 1, 4, 1, 3, 3, 2, 4, 
## 4, 0, 1, 4, 2, 3, 2, 4, 1, 0, 4, 2, 5, 3, 5, 2, 4, 4, 4, 2, 2, 
## 3, 5, 2, 3, 2, 4, 6, 4, 3, 5, 6, 0, 4, 4, 4, 2, 3, 4, 2, 3, 7, 
## 0, 2, 8, 4, 5, 3, 4, 5, 4, 0, 2, 6, 1, 4, 5, 6, 2, 1, 2, 3, 4, 
## 5, 3, 1, 4, 2, 3, 5, 5, 3, 2, -1, 3, 4, 4, 5, 4, 1, 3, 5, 5, 
## 0, 5, 10, 5, 5, 2, 1, 1, 6, 3, 3, 3, 3, 5, 3, 5, 5, 3, 2, 4, 
## 2, 4, 3, 3, 6, 3, 2, 2, 3, 3, 5, 5, 4, 5, 1, 3, 3, 3, 5, 3, 3, 
## 7, 4, 2, 3, 4, 3, 5, 5, 3, 3, 4, 2, 5, 4, 5, 4, 2, 2, 3, 4, 5, 
## 2, 3, 3, 6, 3, 2, 4, 6, 4, 9, 6, 4, 0, 6, 3, 5, -1, 1, 2, 7, 
## 3, 3, 3, 3, 5, 4, 2, 3, 3, 6, 4, 4, 0, 0, 3, 7, 2, 4, 4, 4, 3, 
## 2, 2, 3, 2, 2, 6, 2, 4, 4, 2, 2, 4, 4, 3, 1, 2, -1, 3, 5, 1, 
## 6, 8, 1, 4, 6, 2, 5, 5, 4, 3, 2, 5, 1, 2, 2, 4, 4, 3, 5, 0, 1, 
## 2, 4, 3, 3, 6, -2, 6, 2, -1, 2, 3, 8, 3, 1, 4, 1, 2, 3, 2, 3, 
## 3, 5, 4, 3, 5, 6, 1, 2, 6, 3, 2, 2, 5, 5, 4, 1, 3, 6, 5, 3, 8, 
## 1, 2, 4, 3, 5, 3, 2, 5, 4, 3, 3, 4, 3, 3, 3, 6, 4, 4, 2, 3, 4, 
## 4, 3, -2, 1, 2, 4, 0, -3, 3, 2, 6, 1, 3, 4, 1, 4, 1, -3, -1, 
## 0, 4, 7, 2, 3, -1, 3, 4, 4, 1, 3, 5, 1, 2, 1, 0, 2, 2, 2, 3, 
## 2, -1, 2, 6, 4, 2, 4, 3, 6, 0, 6, -2, 4, 0, 3, -1, -3, 2, 4, 
## 3, 2, 4, 6, 5, 5, 7, -3, 4, 3, 1, 0, 6, 2, 3, 1, -2, 2, 3, 4, 
## 2, 1, 1, 4, 0, 3, -1, 4, 6, 1, -1, -1, 2, 1, 0, 2, 4, 0, 5, -1, 
## 0, 2, 1, 5, 5, -4, 1, 1, 6, 0, 3, 2, -2, 4, 1, 1, -1, 3, 1, 4, 
## 2, 0, 1, -1, 0, 3, 3, 3, 4, 3, 2, -3, 5, 2, 4, 1, -2, 0, 0, 1, 
## -2, -2, 6, 3, 2, 3, 2, 0, 5, 1, -1, 4, 4, 0, 0, 2, 2, 5, 3, 0, 
## 7, -4, 5, 7, 2, 0, -1, 1, 4, 1, 5, 0, 2, 3, 0, 4, 8, 1, 5, 1, 
## 2, 1, -1, 2, 3, 1, 0, 2, 3, 2, 1, 2, -1, 0, 0, 7, 5, 2, 5, 11, 
## -9, -5, 2, 8, 3, 0, 6, 3, 0, 1, -1, 3, 4, 2, 6, 2, 1, 10, 1, 
## 0, 2, 7, 3, 1, 0, 3, 1, 5, 3, 1, 7, 1, 0, 0, -2, 4, 2, 1, 1, 
## 1, 1, 0, 3, 3, 0, 0, 1, 3, 0, 2, 3, 2, 3, -2, -2, 2, 6, 3, 1, 
## 1, 0, 1, 2, 1, 1, 1, 3, -2, -3, 4, 4, 2, 4, 4, 4, 2, 2, 3, 1, 
## -2, -5, 7, 5, 1, 0, 2, 4, 9, 9, 9, 3, 2, 0, 3, 1, 5, -3, 2, 0, 
## 3, 3, 0, 6, -3, 8, -4, 1, 1, 2, -1, 12, 9, -1, -1, 4, 1, 5, 2, 
## 1, 3, 1, 4, -1, 5, 4, 5, 3, 2, 4, 3, 3, 1, -1, -1, 1, 2, 2, 0, 
## 0, -2, 3, 2, 0, 4, -5, 10, 5, 2, 1, 0, 0, 1, -2, 1, 1, 0, 2, 
## 0, 3, 4, 2, 2, 1, -1, 1, 4, 3, 2, 1, 43, 43, 42, 44, 44, 52, 
## 48, 40, 47, 46, 41, 44, 45, 46, 44, 44, 47, 44, 46, 42, 48, 45, 
## 45, 45, 45, 45, 45, 45, 47, 45, 44, 43, 44, 44, 46, 48, 44, 45, 
## 49, 47, 43, 45, 45, 41, 44, 47, 47, 49, 47, 45, 42, 48, 43, 43, 
## 46, 44, 44, 45, 44, 44, 46, 44, 44, 47, 46, 45, 49, 45, 42, 47, 
## 43, 46, 43, 43, 47, 42, 45, 46, 43, 43, 43, 42, 48, 46, 47, 43, 
## 43, 43, 43, 46, 45, 44, 44, 42, 45, 45, 46, 38, 45, 45, 44, 44, 
## 45, 47, 45, 42, 45, 44, 44, 44, 46, 46, 46, 45, 46, 44, 41, 43, 
## 45, 47, 44, 47, 43, 49, 44, 45, 45, 44, 44, 43, 43, 44, 46, 44, 
## 44, 43, 43, 44, 44, 43, 43, 43, 47, 44, 45, 41, 46, 42, 43, 43, 
## 43, 45, 45, 45, 48, 43, 44, 42, 44, 46, 47, 43, 46, 43, 44, 46, 
## 44, 44, 42, 44, 44, 45, 45, 43, 42, 44, 46, 44, 47, 42, 44, 43, 
## 45, 46, 43, 43, 43, 48, 44, 46, 40, 46, 43, 44, 45, 44, 47, 47, 
## 46, 45, 43, 44, 44, 41, 43, 44, 46, 47, 44, 42, 44, 45, 47, 45, 
## 46, 46, 40, 42, 49, 44, 42, 40, 45, 46, 46, 43, 43, 43, 46, 45, 
## 46, 44, 42, 45, 45, 44, 46, 44, 45, 45, 46, 46, 42, 44, 43, 45, 
## 43, 45, 44, 44, 45, 46, 44, 44, 46, 42, 41, 42, 44, 47, 44, 47, 
## 44, 46, 45, 45, 45, 44, 46, 43, 44, 44, 44, 45, 44, 44, 42, 44, 
## 43, 45, 45, 45, 46, 45, 46, 45, 43, 44, 44, 43, 44, 44, 44, 44, 
## 46, 42, 47, 47, 46, 44, 44, 43, 47, 46, 45, 44, 44, 45, 45, 43, 
## 45, 42, 46, 43, 47, 48, 46, 43, 46, 47, 46, 46, 54, 38, 38, 41, 
## 42, 44, 44, 46, 44, 43, 46, 45, 47, 42, 44, 45, 45, 41, 47, 47, 
## 45, 46, 46, 44, 46, 43, 46, 44, 44, 44, 44, 44, 44, 46, 46, 44, 
## 45, 46, 46, 41, 45, 44, 45, 44, 45, 46, 45, 44, 45, 45, 45, 45, 
## 45, 41, 43, 45, 44, 45, 42, 47, 44, 44, 44, 45, 42, 44, 45, 45, 
## 47, 44, 41, 48, 45, 44, 44, 46, 45, 45, 43, 46, 44, 43, 48, 47, 
## 43, 46, 43, 44, 46, 44, 44, 45, 44, 48, 43, 46, 47, 44, 45, 45, 
## 46, 46, 43, 43, 44, 47, 46, 50, 41, 43, 62, 60, 60, 61, 61, 62, 
## 61, 61, 62, 59, 58, 63, 61, 63, 60, 61, 62, 63, 62, 62, 62, 63, 
## 62, 61, 62, 60, 60, 61, 61, 61, 63, 61, 61, 61, 64, 63, 60, 63, 
## 62, 64, 66, 66, 60, 59, 60, 62, 60, 61, 63, 61, 61, 58, 58, 66, 
## 63, 62, 59, 61, 64, 60, 62, 63, 60, 59, 64, 61, 63, 61, 60, 60, 
## 62, 62, 64, 60, 63, 61, 60, 64, 61, 61, 63, 62, 61, 62, 62, 62, 
## 63, 59, 59, 62, 67, 60, 61, 63, 62, 64, 60, 60, 62, 65, 64, 62, 
## 64, 64, 59, 68, 67, 58, 60, 61, 64, 62, 60, 65, 60, 60, 61, 64, 
## 61, 62, 63, 61, 63, 60, 62, 62, 64, 66, 60, 59, 63, 62, 61, 64, 
## 64, 61, 58, 57, 62, 58, 62, 61, 60, 60, 60, 62, 64, 60, 63, 61, 
## 59, 62, 63, 65, 61, 63, 60, 60, 62, 61, 62, 63, 62, 60, 61, 61, 
## 64, 60, 63, 59, 65, 64, 66, 59, 57, 62, 65, 67, 61, 64, 62, 64, 
## 60, 62, 61, 59, 61, 61, 61, 61, 63, 63, 65, 58, 62, 63, 63, 62, 
## 63, 60, 62, 64, 63, 59, 61, 63, 63, 64, 60, 62, 65, 60, 61, 62, 
## 63, 66, 66, 64, 60, 59, 60, 61, 60, 62, 62, 61, 63, 61, 65, 60, 
## 61, 60, 62, 61, 61, 61, 65, 63, 60, 62, 62, 62, 62, 62, 63, 63, 
## 64, 66, 63, 58, 59, 61, 58, 65, 63, 66, 67, 57, 62, 62, 63, 63, 
## 62, 63, 61, 60, 63, 60, 65, 65, 61, 59, 60, 66, 66, 62, 62, 63, 
## 60, 64, 65, 65, 63, 66, 62, 60, 59, 60, 63, 63, 61, 62, 64, 60, 
## 63, 62, 62, 61, 64, 60, 60, 62, 63, 62, 62, 62, 62, 61, 63, 61, 
## 64, 60, 59, 60, 61, 60, 61, 65, 65, 62, 60, 62, 64, 63, 60, 1, 
## -2, 3, 2, 4, 2, 4, 4, 1, -1, 1, 0, 5, -2, 2, 4, 1, 3, 1, -1, 
## 0, 4, 3, 1, 0, 8, 5, 3, 5, 8, 0, 4, 2, 0, -1, -1, 8, 3, 3, 8, 
## 5, 3, 4, 4, 3, 3, 3, 4, 3, 1, 2, 3, 4, 3, 3, 3, 5, 4, 1, 4, 5, 
## 5, 3, 6, 5, 2, 3, 3, 4, 2, 5, 2, 3, 4, 3, 3, 2, 3, 0, 4, 4, 1, 
## 3, 4, 4, 3, 2, 4, 72, 71, 72, 68, 72, 70, 65, 74, 70, 70, 73, 
## 72, 69, 68, 70, 72, 71, 71, 69, 72, 71, 69, 68, 75, 70, 70, 69, 
## 70, 72, 70, 70, 70, 69, 72, 71, 71, 70, 70, 68, 70, 71, 68, 67, 
## 73, 72, 68, 70, 71, 71, 71, 71, 71, 71, 67, 71, 72, 70, 68, 72, 
## 71, 70, 68, 71, 68, 73, 68, 72, 72, 4, 2, 4, 1, 3, 4, 3, 5, 6, 
## 5, 4, 4, 4, 4, 4, 4, 3, 2, 4, 6, 7, 6, 2, 3, 3, 3, 5, 3, 5, 2, 
## 4, 5, 2, 5, 4, 2, 3, 0, 5, 7, 5, 4, 2, 0, 5, 2, 2, 2, 3, 4, 1, 
## 5, 5, 1, 4, 3, 6, 10, 4, 6, 4, 4, 4, 4, 0, 2, 4, 2, 7, 5, 0, 
## -2, 4, 3, 3, 3, 1, 4, 4, 3, 2, 4, 6, 4, 0, 3, 3, 4, 1, 2, 2, 
## 2, 2, 4, 3, 3, 4, 3, 6, 5, 2, 3, 4, 4, 1, 2, 4, 4, 3, 4, 6, 5, 
## 6, 7, 0, -3, -3, 68, 69, 70, 72, 70, 66, 66, 70, 74, 72, 70, 
## 70, 72, 67, 66, 69, 70, 71, 69, 70, 69, 72, 70, 70, 71, 67, 67, 
## 68, 70, 73, 68, 73, 69, 71, 69, 72, 75, 65, 65, 73, 73, 70, 73, 
## 73, 72, 71, 72, 71, 69, 73, 73, 73, 74, 75, 72, 69, 68, 69, 70, 
## 70, 71, 68, 70, 69, 70, 69, 68, 74, 68, 71, 71, 70, 69, 69, 68, 
## 71, 71, 73, 70, 71, 73, 68, 69, 69, 70, 70, 69, 70, 70, 68, 66, 
## 67, 69, 74, 67, 68, 69, 67, 70, 70, 70, 70, 71, 70, 71, 73, 70, 
## 68, 70, 68, 67, 70, 68, 69, 71, 67, 74, 71, 67, 70, 70, 70, 71, 
## 69, 71, 72, 71, 72, 72, 70, 70, 71, 68, 70, 72, 73, 70, 71, 73, 
## 70, 69, 68, 69, 70, 70, 70, 70, 69, 70, 69, 69, 71, 71, 70, 72, 
## 71, 70, 70, 69, 73, 70, 70, 71, 70, 71, 72, 71, 70, 69, 70, 73, 
## 71, 71, 72, 68, 67, 72, 72, 72, 72, 75, 72, 72, 69, 69, 70, 70, 
## 68, 68, 69, 72, 67, 68, 71, 66, 70, 72, 70, 69, 71, 67, 66, 70, 
## 71, 72, 72, 74, 71, 69, 69, 70, 71, 70, 70, 70, 69, 75, 68, 73, 
## 78, 69, 69, 68, 71, 67, 68, 72, 75, 79, 71, 75, 64, 62, 62, 61, 
## 63, 62, 64, 65, 63, 63, 62, 64, 63, 63, 63, 62, 63, 61, 64, 62, 
## 63, 63, 63, 64, 64, 63, 62, 62, 63, 63, 64, 59, 59, 61, 60, 60, 
## 62, 64, 64, 63, 63, 62, 63, 62, 63, 63, 67, 62, 62, 62, 63, 63, 
## 64, 64, 63, 62, 62, 63, 63, 64, 64, 65, 65, 63, 62, 63, 62, 64, 
## 64, 62, 62, 62, 59, 61, 59, 62, 64, 63, 65, 67, 65, 65, 61, 57, 
## 55, 60, 58, 62, 62, 63, 62, 62, 63, 63, 64, 60, 64, 67, 62, 61, 
## 63, 63, 63, 64, 63, 62, 60, 64, 62, 64, 63, 61, 58, 66, 61, 66, 
## 67, 66, 63, 63, 64, 65, 63, 62, 63, 62, 63, 60, 64, 65, 62, 64, 
## 64, 62, 63, 64, 64, 64, 61, 62, 63, 60, 61, 63, 63, 65, 63, 62, 
## 64, 63, 63, 62, 64, 63, 65, 64, 60, 60, 66, 63, 64, 58, 59, 63, 
## 59, 56, 60, 59, 63, 65, 63, 61, 61, 66, 61, 62, 60, 60, 65, 67, 
## 67, 66, 77, 69, 64, 49, 5, 9, 15, 6, -25, -11, -8, -10, -14, 
## 13, 12, 17, 14, 11, 12, 11, 7, 5, 14, -9, -17, -9, 2, 0, -4, 
## -9, -7, -7, -6, -8, -6, -8, -9, -7, -6, -17, -14, -23, -7, 13, 
## 1, 11, 17, 9, 13, 11, 8, 4, 2, 5, -12, -8, 4, 12, 2, -4, -10, 
## 4, 7, 24, 25, 19, 16, 3, 14, 10, 3, -4, 0, 2, -11, 1, -17, 1, 
## -16, -7, -2, -9, -12, -3, -8, -10, -10, -7, -6, -9, -5, -13, 
## -29, -17, -7, 4, 10, 17, 11, 10, 12, 5, -1, -10, -10, -11, -12, 
## -12, -10, -2, 7, 3, 9, 8, 2, -16, -5, -6, -10, -10, -19, -9, 
## -9, -9, -8, -19, -2, -2, 8, 10, 8, 12, 14, 16, 14, -5, -7, -9, 
## -2, -5, -1, 3, -5, -5, -3, -19, -15, -10, -9, -9, -7, -6, -5, 
## -3, -7, 17, 3, 7, 16, 7, 6, 4, 5, 6, -1, -1, -2, -8, -1, -6, 
## -6, -2, -8, -5, -7, -11, -5, -4, -1, 0, -9, -6, -6, 12, 17, 4, 
## 15, 9, 18, 22, -2, -3, 1, -1, -2, 1, -2, 6, 7, 8, 27, -14, -22, 
## -23, 3, 3, -7, -5, -9, -5, -6, -7, -5, -9, -7, -6, -6, -6, -6, 
## -15, -18, 14, 17, 11, 5, 10, 12, 16, 7, 16, 10, -1, 7, 6, -5, 
## -5, 0, -2, 2, 10, 13, 7, -3, -8, -13, -7, -13, -5, -7, 2, 2, 
## 11, 2, 3, 3, 3, 4, 4, 2, 4, 3, 5, 1, 3, 3, 4, 5, 8, 1, 4, 3, 
## 5, 3, 8, 2, 2, 1, 3, -1, 5, 4, 5, 3, 3, 4, 2, 3, 3, 5, 4, 2, 
## 2, 1, 5, 6, 4, 3, 1, 3, 6, 8, 6, 4, 1, 4, 4, 6, 6, 3, 4, 8, 4, 
## 7, 5, 3, 2, 3, 2, 4, 4, 3, 3, 3, 3, 3, 4, 6, 6, 1, 0, 2, 1, 0, 
## 7, 3, 4, 6, 3, 3, 4, 2, 2, 3, 4, 5, 5, 6, 1, 4, 3, 4, 4, 4, 2, 
## 3, 3, 3, 4, 7, 6, 7, 5, 4, 1, 2, 4, 5, 3, 3, 5, 1, 1, 6, 4, 2, 
## 6, 4, 2, 2, 6, 2, 2, 3, 5, 3, 4, 4, 1, 3, 0, 6, 5, 2, 3, 3, 2, 
## 5, 5, 3, 5, 4, 4, 5, 3, 3, 3, 5, 3, 5, 3, 1, 6, 4, 2, 4, 5, 2, 
## 5, 5, 5, 6, 8, 5, 1, 1, 0, 1, 3, 6, 5, 3, 5, 5, 2, 6, 2, 6, 2, 
## 3, 3, 3, 0, 8, 6, 5, 3, 4, 9, 4, 4, 6, 1, 1, 0, 4, 4, 2, 6, 5, 
## 4, 4, 3, 0, 2, 4, 6, 4, 3, -1, 3, 0, 4, 8, 2, 0, 1, 0, 1, 4, 
## 6, 2, 0, 4, 0, 4, -1, 1, 1, 0, 3, 1, 3, 0, 0, 3, -2, 3, 0, 0, 
## 1, 4, 5, -1, 2, 0, 0, 4, 5, 3, 0, 1, 2, 3, 1, 2, 5, 4, 3, 2, 
## -2, -3, 6, 6, 4, 1, 3, 3, 0, -1, 0, 3, 2, 5, 6, 3, 5, 1, 3, 2, 
## 3, 3, 4, 2, 0, 4, 5, 1, 3, -1, 1, 6, 1, 2, 2, -1, 2, 7, -1, 5, 
## 3, 8, 6, 2, -1, 0, 2, 4, 2, 0, 2, 3, 5, 0, 1, 1, 6, 1, 4, 3, 
## 0, -1, 0, -3, 0, 2, 3, 4, 5, 3, 6, 5, 6, 1, 3, 3, 3, 2, 1, 2, 
## -1, -1, 3, 5, 1, 0, 2, 3, 5, 3, 0, 5, 6, 0, -1, 3, 1, -3, 1, 
## 1, 0, 2, 7, 3, -5, 7, 2, -1, 0, 2, 1, 1, 1, 0, 1, 3, 1, 2, 1, 
## 0, 2, 5, 2, 3, 0, 4, -2, -1, 2, 1, 2, 3, 3, 2, 3, 1, 2, 3, 4, 
## 1, 2, 3, 1, 3, 4, 1, 2, 2, 0, -7, -6, -6, -2, -3, 1, 4, 6, 4, 
## 0, 4, -3, -4, 5, -2, 2, 2, 7, 5, 1, 2, 0, 0, 3, 2, 1, 4, 4, 44, 
## 45, 44, 47, 45, 44, 44, 43, 42, 46, 45, 44, 44, 44, 46, 44, 44, 
## 45, 45, 43, 44, 44, 42, 42, 43, 44, 43, 43, 45, 43, 46, 44, 43, 
## 43, 46, 44, 45, 46, 44, 43, 44, 43, 47, 44, 44, 43, 45, 45, 42, 
## 44, 43, 44, 47, 45, 43, 47, 46, 43, 43, 43, 46, 44, 45, 43, 44, 
## 46, 44, 44, 44, 44, 44, 45, 44, 43, 47, 44, 43, 47, 46, 43, 45, 
## 46, 44, 45, 47, 44, 45, 46, 44, 45, 44, 46, 45, 44, 43, 44, 43, 
## 41, 44, 45, 45, 45, 41, 42, 44, 46, 46, 46, 43, 43, 43, 44, 46, 
## 42, 44, 46, 44, 45, 45, 46, 45, 43, 45, 44, 45, 46, 44, 44, 43, 
## 43, 44, 44, 45, 42, 44, 43, 45, 44, 45, 46, 43, 45, 48, 46, 43, 
## 46, 46, 46, 42, 46, 43, 41, 41, 48, 43, 44, 45, 44, 46, 45, 43, 
## 45, 43, 43, 48, 47, 47, 44, 44, 46, 49, 47, 46, 45, 46, 27, 25, 
## 35, 33, 34, 37, 48, 30, 33, 38, 39, 43, 52, 48, 36, 42, 69, 39, 
## 55, 53, 48, 46, 47, 47, 51, 47, 46, 48, 52, 51, 60, 58, 7, 44, 
## 46, 43, 44, 44, 45, 43, 45, 42, 45, 45, 46, 45, 45, 44, 44, 48, 
## 43, 47, 45, 47, 41, 44, 43, 43, 44, 43, 44, 42, 43, 45, 44, 45, 
## 45, 44, 44, 41, 44, 46, 44, 45, 46, 43, 41, 44, 42, 43, 43, 47, 
## 45, 43, 43, 44, 42, 45, 44, 44, 46, 47, 42, 46, 43, 44, 44, 42, 
## 42, 45, 45, 46, 44, 43, 44, 46, 44, 45, 45, 44, 45, 47, 43, 44, 
## 46, 46, 44, 48, 44, 42, 45, 44, 46, 60, 60, 62, 66, 59, 62, 63, 
## 62, 64, 69, 53, 68, 65, 63, 62, 59, 59, 60, 66, 61, 60, 59, 67, 
## 58, 61, 62, 63, 63, 64, 62, 62, 60, 60, 64, 62, 61, 61, 63, 63, 
## 63, 63, 64, 61, 60, 63, 63, 60, 61, 63, 60, 61, 60, 62, 63, 62, 
## 65, 64, 63, 63, 61, 60, 71, 63, 61, 59, 60, 64, 66, 61, 63, 65, 
## 62, 61, 60, 64, 64, 63, 61, 63, 63, 62, 63, 62, 62, 62, 63, 65, 
## 63, 59, 60, 64, 61, 60, 63, 63, 61, 66, 65, 62, 60, 62, 62, 63, 
## 64, 63, 63, 64, 61, 64, 65, 62, 62, 60, 64, 62, 61, 60, 63, 63, 
## 65, 61, 62, 61, 63, 62, 61, 63, 63, 63, 63, 60, 59, 62, 61, 66, 
## 62, 60, 59, 61, 62, 62, 61, 61, 62, 62, 63, 64, 62, 62, 62, 60, 
## 63, 63, 61, 62, 63, 64, 65, 61, 63, 62, 63, 61, 60, 63, 62, 62, 
## 61, 61, 63, 60, 64, 61, 59, 63, 64, 59, 62, 61, 63, 63, 63, 63, 
## 62, 61, 61, 61, 62, 62, 64, 64, 62, 62, 63, 63, 64, 65, 63, 64, 
## 64, 62, 60, 62, 63, 62, 62, 64, 64, 63, 62, 61, 64, 63, 63, 63, 
## 63, 65, 61, 62, 62, 65, 65, 57, 61, 61, 61, 61, 61, 64, -2, 0, 
## 1, 3, 2, 0, 0, 0, 1, 0, 2, -2, 5, 4, 3, -1, 1, 3, 4, 0, 2, 0, 
## 0, 3, 3, 2, 2, 7, -2, 4, 1, 2, 2, 5, 0, 5, 1, 0, 4, 5, 3, 0, 
## -1, -2, 1, 8, 1, 1, 2, -1, -1, 0, -1, -3, -3, -5, -6, -13, -5, 
## -6, -10, -9, -10, 23, 9, 9, 14, 12, 21, 19, 11, 1, -3, -1, -4, 
## -7, -9, -12, 7, 1, -2, -12, -7, -5, -17, -11, -4, -13, -8, -7, 
## -9, -12, -13, -12, -7, -3, -7, -10, 18, 13, 13, 12, -1, 2, -5, 
## 5, 2, 1, 7, 1, -5, -13, -4, -3, -14, -8, -10, -6, -11, -6, -9, 
## -1, 5, 11, 20, 12, 10, 14, 71, 71, 69, 71, 71, 70, 73, 68, 72, 
## 68, 70, 72, 72, 70, 70, 69, 66, 73, 70, 72, 70, 68, 69, 71, 67, 
## 72, 71, 66, 71, 71, 69, 69, 71, 70, 74, 70, 68, 70, 72, 72, 71, 
## 70, 71, 71, 69, 71, 71, 68, 72, 66, 4, 6, 2, 4, 2, 0, 3, 2, 6, 
## 4, 3, 4, 3, 2, 7, 6, 7, 3, 2, 5, 0, 3, 5, 4, 5, 5, 5, 2, 1, 6, 
## 3, 6, -5, -9, -24, 5, -19, 65, 164, 149, -5, -22, 13, -8, 4, 
## 5, -8, -12, -8, -1, 6, 1, 1, -3, -3, -2, -3, 3, 34, 33, 31, 32, 
## 41, 35, 44, 45, 39, 43, 42, 40, 48, 45, 39, 42, 40, 39, 36, 42, 
## 47, 31, 12, 39, 43, 35, 43, 53, 46, 54, 46, 51, 48, 52, 48, 44, 
## 26, 26, 25, 27, 25, 39, 40, 41, 40, 33, 33, 29, 43, 36, 30, 48, 
## 46, 45, 46, 42, 41, 40, 40, 32, 33, 61, 45, 59, 49, 50, 53, 36, 
## 43, 75, 61, 54, 48, 48, 48, 44, 41, 32, 32, 40, 40, 27, 38, 38, 
## 42, 24, 52, 121, 39, 67, 55, 52, 53, 56, 58, 35, 28, 23, 25, 
## 34, 39, 1, 0, 2, 8, 6, 3, 4, -4, -6, -1, 10, 12, 14, 23, 8, 3, 
## 6, -12, -7, -4, 1, -3, 4, 3, 0, -9, 0, -1, 0, 0, -3, -3, -2, 
## -2, -5, -8, 8, 8, 7, 8, 10, 9, 13, 4, -2, 3, -1, 18, 19, 21, 
## 6, 8, -3, 2, -4, -2, -1, 1, 3, 3, 5, 1, 3, 3, -2, -12, -15, -3, 
## 5, 11, 3, 6, 1, -1, 4, 0, 3, 21, 20, 14, 9, 7, -2, 13, 3, 1, 
## -5, -7, -2, -3, -4, 0, -1, -2, 2, 1, -1, 13, 12, 5, -2, -3, 1, 
## 1, 0, 0, 9, 12, -4, -1, 5, 17, 18, 21, 6, 2, 2, 3, 4, 2, -1, 
## 1, -2, -7, -9, 4, -1, 1, 4, 0, -2, -4, -1, -1, 2, 17, 3, -1, 
## 2, 5, 4, 10, 12, 15, 13, 2, -1, -6, -4, -5, -4, 3, 9, 11, 7, 
## -2, 9, 2, 2, 6, 9, 21, 10, 4, 0, 2, -7, 3, 2, 0, -2, -2, -4, 
## -3, -3, 2, -9, -8, 3, 3, 26, 6, 0, 3, -1, -4, -4, -3, 11, 7, 
## 7, -2, -6, -3, -4, -4, -2, -4, -3, -3, -5, -5, 0, 1, -2, -3, 
## 5, 3, -1, -5, -11, 14, 14, 12, 11, 3, 2, 1, 0, -4, -4, 3, -11, 
## -7, -3, 0, -3, -4, -2, 10, 1, -1, 1, 6, 4, 4, 2, 4, 2, 5, 5, 
## 2, 4, 5, 4, 2, 2, 1, 5, 6, 3, 4, 5, 1, 4, 3, 2, 6, 4, 2, 1, 2, 
## 2, 5, 7, 3, 5, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 2, 58, 
## 59, 58, 50, 66, 68, 73, 63, 62, 58, 60, 85, 78, 69, 63, 66, 58, 
## 59, 58, 62, 68, 79, 74, 67, 67, 65, 63, 65, 59, 70, 83, 82, 60, 
## 49, 62, 69, 79, 68, 70, 64, 62, 69, 67, 48, 70, 65, 73, 70, 72, 
## 70, 69, 72, 76, 59, 62, 62, 66, 62, 70, 79, 82, 72, 70, 76, 76, 
## 81, 66, 83, 71, 46, 59, 73, 59, 58, 65, 69, 69, 68, 68, 63, 49, 
## 49, 54, 58, 48, 44, 47, 38, 36, 73, 61, 63, 56, 55, 58, 60, 52, 
## 57, 57, 58, 63, 65, 63, 65, 45, 58, 55, 57, 62, 62, 59, 49, 53, 
## 53, 57, 55, 60, 52, 52, 54, 50, 49, 50, 53, 75, 43, 38, 44, 55, 
## 47, 69, 60, 55, 61, 60, 40, 40, 41, 45, 50, 55, 56, 55, 47, 49, 
## 54, 62, 53, 58, 57, 55, 57, 64, 49, 54, 55, 58, 54, 57, 55, 56, 
## 58, 60, 49, 47, 50, 52, 57, 57, 57, 57, 63, 55, 49, 50, 53, 53, 
## 49, 47, 47, 55, 55, 52, 59, 52, 59, 62, 58, 62, 63, 63, 60, 58, 
## 56, 55, 66, 55, 57, 45, 57, 55, 46, 68, 62, 49, 58, 61, 53, 57, 
## 58, 58, 57, 60, 63, 57, 53, 57, 55, 60, 57, 50, 58, 58, 57, 55, 
## 62, 57, 55, 56, 60, 61, 57, 69, 64, 53, 51, 65, 65, 61, 58, 59, 
## 63, 66, 62, 55, 52, 45, 47, 55, 79, 53, 47, 59, 63, 57, 55, 57, 
## 55, 51, 56, 57, 45, 58, 58, 60, 49, 64, 55, 59, 54, 50, 52, 60, 
## 57, 60, 58, 51, 53, 46, 47, 54, 58, 75, 44, 49, 54, 63, 56, 61, 
## 63, 56, 69, 62, 57, 57, 52, 47, 53, 59, 42, 58, 63, 58, 58, 60, 
## 60, 64, 61, 59, 48, 48, 61, 50, 52, 52, 53, 54, 71, 59, 55, 49, 
## 47, 62, 59, 62, 56, 59, 62, 56, 58, 60, 59, 57, 59, 55, 54, 51, 
## 49, 49, 52, 54, 56, 55, 54, 53, 49, 47, 40, 49, 54, 59, 59, 56, 
## 58, 62, 67, 58, 55, 58, 58, 59, 56, 56, 60, 48, 38, 26, 58, 62, 
## 57, 60, 51, 47, 51, 48, 58, 65, 56, 60, 61, 60, 58, 57, 59, 66, 
## 69, 58, 59, 42, 42, 42, 49, 46, 48, 57, 66, 55, 73, 44, 56, 55, 
## 60, 58, 61, 59, 55, 54, 36, 60, 60, 40, 40, 58, 64, 51, 46, 53, 
## 49, 62, 71, 71, 75, 69, 67, 62, 63, 44, 40, 43, 41, 56, 49, 49, 
## 61, 59, 62, 59, 56, 65, 70, 62, 62, 58, 59, 63, 57, 62, 64, 61, 
## 60, 62, 60, 61, 47, 41, 34, 58, 77, 57, 61, 67, 75, 77, 60, 60, 
## 65, 72, 69, 66, 61, 61, 64, 60, 68, 66, 61, 60, 64, 64, 58, 60, 
## 64, 62, 64, 63, 63, 65, 6, 5, 4, 6, 5, 5, 2, 0, 1, -1, 4, 5, 
## 2, 3, 3, 7, 4, 5, 2, 3, 6, 6, 5, 5, 5, 4, 0, 3, 6, -1, -1, 2, 
## 5, 8, 5, 2, 4, 3, 2, 5, 5, 7, 6, 5, 3, 3, 6, 3, 3, 2, 4, 3, 4, 
## 4, 3, 7, 4, 3, 4, 3, 3, -1, -1, 3, 3, 5, 6, 6, 4, 4, 3, 4, 3, 
## 2, 2, 2, 0, 3, 3, 6, 4, 4, 1, 1, 4, 3, 4, 3, -2, 0, 5, 7, 5, 
## 3, 1, 1, 3, -1, 2, 5, 4, 5, 2, 3, 4, 5, 3, 1, 3, 3, 2, 5, 4, 
## 1, 1, 3, 4, 5, 2, 5, -2, 5, 3, 4, 4, 5, 3, 4, 2, 3, 4, 7, 6, 
## 3, 2, 3, 5, 4, 3, 4, 4, 7, 5, 4, 4, 6, 6, 1, 1, 3, 4, 6, 4, 2, 
## 2, 2, 3, 6, 5, 6, 4, 4, 6, 5, 5, 5, 6, 3, 1, 4, 4, 4, 5, 1, -2, 
## 4, 3, 8, 3, 2, 3, 3, 5, 3, 2, 3, 1, 2, 2, 2, 1, 4, 0, 4, 4, 6, 
## 7, 6, 5, 3, 4, 4, 4, 3, 2, 3, 4, 3, 5, 5, 5, 3, 4, 3, 4, 5, 4, 
## 5, 4, 3, 3, 5, 3, 4, 5, 4, 5, 4, 5, 3, 3, 2, 4, 5, 3, 3, 3, 3, 
## 3, 3, 4, 3, 3, -9, -32, -21, -19, -23, -4, 150, -31, -69, 70, 
## 6, -9, 18, -1, 2, 2, 3, 6, 4, -1, 0, 2, 2, 1, 3, 4, -1, 1, 2, 
## 4, 5, 2, 2, 8, 6, 8, -9, -6, -9, -8, -6, 14, 2, 18, 3, 52, 17, 
## 23, -9, -11, -6, -10, -7, -15, -6, -1, -4, -2, -9, -14, 3, -18, 
## -38, 34, 40, 41, 16, 41, 40, 30, 18, 18, 21, -26, -25, -11, 15, 
## -4, 4, -10, -9, -41, -8, 8, 18, -1, 31, 43, 31, 17, 8, 3, -38, 
## -16, -12, -14, -18, -23, 6, 0, -3, -8, -12, -1, -2, -6, -9, -9, 
## -28, -18, -10, 23, -13, 0, 34, 36, 30, 27, 1, -27, -27, -24, 
## -18, -9, 1, -3, -4, -17, -28, -26, 30, 5, 48, 45, 53, 46, 35, 
## 43, -2, -29, -27, -26, -25, -23, 12, -1, -5, -2, -4, -10, -29, 
## -30, -36, -30, 2, 11, 30, 31, 12, 39, 45, 58, 54, 46, 41, 39, 
## 32, -30, -25, -23, -22, -17, -17, 13, 1, -11, -21, -11, -24, 
## 48, 58, 45, 36, 38, 11, 3, -28, -14, -9, 12, -7, -3, 0, -6, 2, 
## 8, 1, -2, -7, -3, -16, -19, -3, -1, 11, 4, 5, 14, 30, 31, 30, 
## 20, 14, -1, -12, -12, 5, -8, -3, -6, -2, 1, -18, -5, -5, -2, 
## -1, 0, 3, 5, 0, 3, 0, 2, 1, 2, 5, 1, 3, 1, 2, 1, 3, 3, 2, 4, 
## 2, 1, 3, 2, 7, 2, 4, 1, 1, 1, 0, 3, 2, 3, 42, 34, 30, 32, 39, 
## 27, 36, 37, 45, 48, 41, 22, 24, 30, 33, 41, 24, 26, 21, 41, 50, 
## 48, 51, 58, 57, 36, 37, 29, 22, 25, 33, 43, 41, 32, 37, 40, 39, 
## 36, 35, 40, 43, 44, 45, 44, 37, 39, 46, 37, 23, 22, 19, 30, 59, 
## 33, 47, 25, 23, 16, 33, 46, 44, 49, 56, 58, 64, 59, 62, 46, 44, 
## 44, 43, 19, 33, 37, 31, 36, 35, 35, 38, 45, 35, 29, 24, 31, 34, 
## 21, 38, 42, 29, 43, 32, 42, 46, 38, 55, 51, 51, 57, 39, 14, 18, 
## 18, 27, 23, 27, 30, 30, 27, 36, 35, 38, 39, 39, 42, 39, 38, 38, 
## 41, 42, 30, 32, 39, 44, 40, 33, 30, 31, 30, 25, 38, 56, 60, 56, 
## 31, 27, 29, 64, 66, 68, 71, 59, 49, 26, 21, 37, 29, 28, 33, 15, 
## 44, 29, 37, 35, 40, 47, 45, 52, 49, 45, 43, 37, 39, 44, 40, 34, 
## 30, 39, 32, 35, 31, 42, 40, 19, 5, 35, 62, 43, 47, 50, 47, 6, 
## 17, 55, 37, 59, 54, 55, 49, 46, 42, 42, 43, 39, 44, 57, 59, 55, 
## 40, 23, 14, 12, 21, 52, 53, 40, 36, 45, 36, 35, 40, 45, 46, 36, 
## 39, 46, 58, 60, 61, 57, 50, 35, 29, 25, 21, 19, 29, 31, 33, 32, 
## 30, 37, 47, 51, 39, 31, 37, 44, 48, 51, 30, 1, 3, 50, 22, 39, 
## 43, 54, 43, 51, 49, 46, 50, 53, 52, 48, 45, 43, 38, 40, 20, 17, 
## 43, 16, 18, 25, 33, 46, 46, 36, 17, 23, 25, 34, 37, 37, 36, 34, 
## 37, 42, 36, 16, 30, 30, 33, 32, 30, 33, 35, 40, 47, 45, 47, 46, 
## 43, 36, 24, 43, 39, 40, 42, 38, 39, 32, 47, 55, 31, 31, 17, 11, 
## 48, 80, 36, 66, 68, 72, 81, 66, 67, 61, 63, 57, 63, 60, 70, 59, 
## 72, 53, 57, 58, 58, 74, 73, 52, 62, 65, 76, 81, 76, 75, 67, 61, 
## 64, 69, 66, 55, 72, 70, 69, 68, 68, 67, 70, 69, 67, 64, 54, 59, 
## 65, 70, 55, 71, 82, 75, 98, 88, 85, 76, 70, 48, 82, 60, 62, 65, 
## 59, 72, 63, 69, 57, 58, 57, 55, 54, 63, 64, 70, 51, 56, 56, 64, 
## 66, 83, 88, 75, 65, 57, 55, 69, 66, 79, 67, 61, 61, 61, 64, 50, 
## 59, 64, 80, 74, 85, 91, 58, 61, 62, 36, 39, 61, 78, 77, 90, 66, 
## 71, 53, 35, 44, 84, 54, 1, 72, 55, 70, 67, 70, 70, 65, 64, 67, 
## 69, 69, 66, 63, 61, 72, 59, 70, 65, 69, 71, 73, 71, 68, 68, 64, 
## 66, 67, 71, 68, 70, 0, 0, -1, 3, 4, 2, 2, 0, 0, -1, 2, 2, 2, 
## 3, 3, 4, 3, 4, 2, 4, 1, -2, 6, -1, 2, 0, 1, -1, 3, 49, 50, 51, 
## 50, 60, 56, 62, 59, 56, 58, 57, 57, 57, 60, 57, 55, 55, 5, 5, 
## 5, 2, 5, 2, 4, 1, 2, 0, -3, 1, 1, 2, 0, 3, 0, -7, -6, -5, -6, 
## -14, -3, -9, 14, 36, 25, 25, 28, 29, 25, -7, -10, 1, 4, 20, 23, 
## 29, 3, 0, 15, 18, 33, 35, 5, 5, -6, -15, -12, -19, 3, 1, 2, 0, 
## 4, 3, -1, 0, 2, 0, 3, 1, 0, 8, 3, 5, 2, 4, 2, 3, 3, -7, -33, 
## -10, 9, 20, 8, 2, 2, 0, 3, 3, 4, 3, 2, 0, 3, 4, 4, 4, 0, 1, 3, 
## 4, 4, 3, 4, 6, 4, 4, 2, 1, 3, 6, -1, 3, 6, 65, 62, 70, 80, 78, 
## 64, 69, 67, 65, 64, 71, 65, 67, 68, 67, 65, 65, 63, 64, 100, 
## 73, 67, 61, 70, 70, 54, 63, 51, 48, 64, 71, 68, 67, 78, 65, 60, 
## 83, 84, 65, 49, 49, 59, 58, 64, 63, 64, 63, 75, 68, 74, 67, 72, 
## 57, 81, 50, 58, 71, 65, 69, 74, 70, 65, 63, 67, 67, 73, 76, 65, 
## 67, 62, 64, 72, 86, 89, 7, 4, 12, 7, 14, 20, 26, 7, -1, -3, -4, 
## 5, -12, 3, 3, 5, -1, -1, -1, -3, -3, -5, 6, -3, -5, -6, -2, 17, 
## 7, 4, 5, 0, 2, 7, 8, -1, 3, 0, -12, 1, 3, 4, 9, 1, 0, -2, -3, 
## -5, -5, -3, -1, 1, 6, 6, 8, 3, 14, 10, 6, 11, 6, 15, 17, 15, 
## 57, 50, 61, 73, 63, 46, 27, 54, 53, 52, 57, 51, 47, 25, 26, 15, 
## 18, 25), accel_belt_z = c(23, 21, 21, 22, 23, 23, 21, 22, 21, 
## 21, 22, 20, 21, 21, 22, 22, 21, 21, 19, 21, 22, 22, 21, 21, 21, 
## 22, 20, 21, 22, 23, 22, 21, 20, 23, 22, 21, 22, 21, 22, 21, 20, 
## 21, 21, 22, 20, 22, 22, 22, 22, 20, 21, 21, 21, 22, 23, 24, 21, 
## 22, 23, 21, 24, 24, 25, 25, 25, 23, 24, 27, 24, 25, 25, 24, 27, 
## 22, 20, 23, 23, 23, 23, 25, 24, 25, 26, 23, 23, 22, 21, 21, 22, 
## 21, 20, 22, 21, 23, 25, 26, 28, 29, 27, 30, 29, -188, -184, -188, 
## -186, -186, -185, -186, -184, -185, -186, -185, -183, -184, -184, 
## -187, -184, -185, -184, -185, -183, -183, -182, -185, -187, -186, 
## -186, -187, -186, -186, -183, -184, -183, -188, -184, -184, -182, 
## -185, -185, -185, -183, -184, -185, -187, -186, -183, -186, -185, 
## -186, -182, -184, -185, -183, -183, -181, -184, -182, -182, -180, 
## -176, -176, -180, -179, -182, -184, -184, -183, -184, -183, -181, 
## -181, -177, -180, -181, -179, -178, -179, -175, -177, -180, -181, 
## -179, -180, -184, -185, -183, -179, -183, -181, -176, -175, -175, 
## -167, -166, -174, -173, -175, -177, -177, -180, -179, -180, -180, 
## -181, -177, -177, -179, -171, -173, -172, -176, -178, -172, -174, 
## -173, -177, -179, -175, -177, -180, -177, -179, -180, -180, -177, 
## -177, -179, -176, -177, -170, -175, -175, -176, -175, -174, -176, 
## -177, -177, -179, -178, -180, -179, -179, -176, -177, -174, -172, 
## -175, -177, -176, -177, -178, -175, -178, -175, -177, -174, -174, 
## -174, -172, -175, -173, -178, -172, -173, -175, -172, -173, -172, 
## -172, -174, -173, -173, -174, -174, -177, -173, -169, -165, -166, 
## -170, -172, -172, -175, -176, -175, -179, -177, -176, -176, -176, 
## -175, -175, -176, -175, -175, -177, -173, -173, -174, -174, -174, 
## -173, -174, -175, -177, -176, -179, -178, -180, -175, -175, -176, 
## -177, -176, -173, -171, -177, -171, -168, -172, -173, -176, -169, 
## -174, -174, -177, -176, -172, -175, -177, -175, -171, -171, -171, 
## -172, -169, -166, -165, -170, -171, -174, -175, -175, -172, -175, 
## -177, -175, -171, -170, -170, -171, -169, -174, -173, -171, -172, 
## -169, -170, -174, -176, -177, -176, -176, -177, -180, -172, -172, 
## -175, -173, -174, -170, -170, -173, -169, -171, -172, -170, -172, 
## -173, -172, -173, -174, -176, -178, -180, -177, -174, -177, -175, 
## -171, -174, -170, -177, -177, -175, -178, -176, -171, -169, -171, 
## -170, -175, -177, -178, -178, -178, -175, -176, -182, -175, -179, 
## -178, -178, -180, -179, -178, -159, -158, -158, -160, -164, -166, 
## -163, -169, -163, -162, -165, -159, -163, -164, -165, -170, -171, 
## -169, -170, -172, -170, -172, -175, -172, -173, -172, -172, -174, 
## -174, -175, -173, -174, -175, -175, -174, -173, -172, -173, -171, 
## -171, -173, -173, -171, -174, -175, -173, -174, -174, -172, -173, 
## -170, -172, -174, -172, -170, -171, -170, -169, -169, -168, -168, 
## -167, -167, -167, -168, -167, -169, -168, -166, -167, -167, -165, 
## -165, -166, -163, -164, -164, -163, -162, -163, -162, -163, -164, 
## -166, -166, -167, -166, -163, -166, -165, -168, -167, -165, -166, 
## -166, -165, -166, -165, -165, -164, -165, -166, -167, -166, -167, 
## -168, -167, -165, -167, -164, -166, -168, -166, -167, -170, -169, 
## -169, -167, -168, -166, -167, -166, -166, -164, -167, -165, -166, 
## -162, -165, -164, -159, -160, -164, -164, -165, -165, -165, -167, 
## -159, -161, -159, -161, -159, -156, -160, -157, -157, -166, -164, 
## -162, -163, -164, -162, -164, -164, -173, -155, -158, -158, -156, 
## -158, -158, -159, -160, -158, -157, -156, -157, -158, -157, -155, 
## -160, -160, -162, -160, -158, -157, -159, -177, -153, -149, -157, 
## -156, -156, -156, -158, -158, -158, -160, -158, -160, -159, -160, 
## -159, -159, -158, -158, -160, -160, -160, -164, -160, -171, -171, 
## -171, -167, -163, -156, -155, -160, -161, -161, -161, -159, -161, 
## -160, -161, -160, -162, -161, -163, -161, -160, -162, -167, -163, 
## -164, -164, -171, -168, -174, -171, -175, -174, -177, -172, -161, 
## -162, -160, -159, -160, -156, -155, -156, -154, -154, -155, -155, 
## -154, -152, -151, -151, -151, -153, -153, -153, -155, -157, -156, 
## -157, -158, -153, -155, -151, -152, -152, -151, -155, -156, -156, 
## -160, -158, -158, -157, -157, -157, -156, -155, -156, -157, -157, 
## -159, -157, -156, -156, -157, -156, -156, -158, -156, -155, -159, 
## -157, -158, -159, -158, -154, -156, -157, -155, -153, -157, -155, 
## -156, -157, -158, -158, -157, -157, -157, -156, -156, -156, -156, 
## -157, -157, -157, -157, -157, -156, -155, -156, -157, -157, -158, 
## -157, -157, -157, -158, -159, -158, -159, -159, -160, -159, -158, 
## -159, -157, -157, -157, -156, -156, -155, -155, -155, -155, -157, 
## -157, -156, -157, -159, -155, -157, -158, -158, -158, -158, -156, 
## -156, -157, -158, -158, -158, -160, -158, -155, -156, -154, -157, 
## -154, -154, -155, -155, -155, -158, -157, -158, -156, -155, -157, 
## -156, -155, -158, -157, -158, -156, -156, -157, -156, -157, -156, 
## -156, -157, -158, -159, -160, -158, -159, -157, -155, -156, -155, 
## -156, -156, -154, -155, -156, -155, -156, -157, -158, -157, -157, 
## -159, -156, -158, -160, -160, -159, -159, -160, -158, -158, -159, 
## -157, -158, -157, -157, -157, -156, -157, -157, -158, -157, -158, 
## -157, -158, -158, -159, -158, -160, -156, -157, -156, -157, -156, 
## -157, -156, -157, -156, -157, -156, -157, -156, -157, -156, -155, 
## -157, -159, -158, -157, -158, -157, -157, -157, -157, -157, -156, 
## -157, -157, -157, -156, -156, -158, -157, -158, -158, -157, -157, 
## -159, -157, -160, -160, -159, -157, -159, -159, -156, -157, -159, 
## -158, -156, -158, -158, -157, -155, -158, -156, -156, -159, -158, 
## -156, -158, -157, -158, -158, -158, -158, -159, -159, -159, -159, 
## -158, -157, -155, -153, -154, -156, -157, -156, -154, -155, -155, 
## -156, -154, -154, -154, -154, -157, -159, -156, -158, -158, -159, 
## -161, -160, -158, -158, -159, -159, -159, -157, -158, -156, -156, 
## -157, -158, -158, -157, -158, -157, 28, 32, 31, 32, 33, 31, 30, 
## 31, 30, 32, 30, 29, 28, 28, 26, 27, 26, 25, 26, 27, 27, 27, 28, 
## 28, 27, 28, 30, 30, 30, 30, 30, 31, 30, 28, 29, 27, 27, 27, 28, 
## 28, 27, 25, 26, 27, 28, 29, 29, 29, 31, 31, 28, 28, 28, 29, 28, 
## 29, 27, 28, 28, 30, 31, 29, 28, 28, 28, 24, 23, 23, 22, 21, 23, 
## 21, 26, 29, 30, 30, 30, 28, 29, 28, 24, 24, 24, 21, 22, 22, 23, 
## 27, 26, 27, 28, 23, 24, 26, 30, 28, 27, 28, 28, 28, 29, 28, 30, 
## 31, 30, 29, 28, 28, 27, 21, 26, 24, 22, 23, 24, 24, 22, 24, 24, 
## 29, 30, 30, 28, 26, 26, 25, 26, 27, 25, 25, 23, 23, 24, 23, 28, 
## 27, 24, 24, 25, 24, 28, 27, 31, 28, 29, 32, 32, 33, 31, 31, 31, 
## 28, 30, 27, 26, 26, 26, 23, 25, 24, 25, 27, 26, 27, 29, 29, 29, 
## 29, 30, 22, 24, 24, 23, 26, 29, 27, 27, 29, 30, 29, 32, 29, 28, 
## 28, 23, 25, 23, 23, 22, 25, 26, 24, 23, 24, 27, 29, 29, 29, 30, 
## 29, 29, 27, 26, 30, 29, 28, 30, 29, 29, 27, 23, 23, 22, 22, 19, 
## 23, 22, 26, 28, 29, 30, 30, 30, 27, 30, 19, 19, 18, 18, 19, 21, 
## 21, 21, 24, 27, 28, 27, 28, 28, 28, 31, 29, 30, 28, 29, 30, 27, 
## 28, 27, 26, 28, 23, 21, 23, 22, 25, 25, 23, 24, 26, 25, 25, 30, 
## 32, 32, 32, 31, 29, 29, 23, 21, 22, 21, 20, 21, 21, 21, 22, 24, 
## 23, 25, 25, 25, 30, 30, 28, 29, 29, 28, 25, 27, 28, 29, 28, 28, 
## 28, 28, 29, 28, 29, 26, 28, 27, 28, 28, 27, 28, 28, 27, 27, 28, 
## 26, 27, 27, 28, 28, 27, 29, 29, 28, 29, 26, 28, 28, 27, 23, 19, 
## 18, 20, 15, 21, 23, 21, 24, 30, 30, 32, 29, 27, 22, 19, 20, 23, 
## 17, 17, 18, 15, 19, 21, 22, 24, 26, 28, 27, 29, 29, 21, 21, 17, 
## 15, 14, 15, 13, 19, 24, 23, 22, 28, 29, 28, 29, 25, 23, 45, 42, 
## 46, 43, 45, 45, 45, 45, 44, 46, 45, 45, 44, 43, 46, 43, 43, 42, 
## 42, 42, 48, 44, 42, 44, 42, 40, 44, 46, 43, 44, 43, 43, 43, 44, 
## 42, 44, 43, 43, 41, 42, 42, 42, 44, 40, 42, 42, 43, 42, 45, 41, 
## 43, 40, 40, 41, 40, 42, 40, 42, 39, 40, 40, 40, 40, 39, 42, 40, 
## 39, 42, 42, 42, 42, 40, 41, 41, 38, 37, 40, 40, 37, 41, 45, 42, 
## 46, 43, 42, 45, 45, 41, 42, 43, 43, 44, 42, 43, 45, 47, 42, 45, 
## 44, 45, 44, 43, 43, 45, 46, 44, 44, 47, 41, 40, 44, 42, 45, 45, 
## 46, 46, 45, 45, 46, 45, 44, 45, 45, 45, 50, 46, 44, 46, 46, 42, 
## 43, 43, 41, 47, 42, 47, 42, 44, 43, 41, 41, 43, 42, 43, 43, 42, 
## 44, 43, 45, 44, 44, 45, 41, 43, 48, 48, 44, 46, 48, 40, 42, 46, 
## 50, 45, 44, 53, 35, 36, 46, 46, 52, 47, 49, 39, 35, 40, 46, 43, 
## 42, 48, 44, 44, 44, 46, 48, 44, 45, 44, 46, 46, 46, 44, 45, 45, 
## 43, 42, 44, 44, 45, 46, 45, 45, 44, 45, 46, 46, 45, 45, 44, 46, 
## 41, 46, 27, 27, 25, 25, 23, 27, 25, 25, 26, 24, 22, 20, 22, 23, 
## 22, 26, 24, 27, 24, 31, 22, 23, 26, 27, 25, 25, 26, 28, 27, 28, 
## 28, 26, 26, 25, 28, 23, 24, 26, 30, 26, 25, 22, 26, 26, 29, 27, 
## 25, 25, 22, 25, 20, 20, 22, 23, 20, 21, 23, 19, 19, 19, 18, 21, 
## 24, 25, 20, 25, 22, 25, 21, 24, 24, 25, 23, 22, 18, 20, 23, 20, 
## 19, 20, 21, 19, 23, 25, 22, 23, 23, 18, 19, 19, 21, 19, 16, 20, 
## 19, 23, 25, 26, 26, 22, 25, 21, 22, 21, 16, 15, 18, 22, 22, 22, 
## 19, 20, 19, 20, 21, 24, 23, 24, 29, 27, 25, 21, 19, 24, 18, 20, 
## 23, 19, 20, 20, 19, 20, 22, 22, 22, 25, 25, 21, 29, 26, 25, 26, 
## 32, 23, 24, 21, 19, 25, 28, 23, 19, 21, 21, 21, 22, 31, 24, 26, 
## 24, 25, 22, 19, 19, 24, 21, 20, 31, 23, 25, 28, 26, 25, 23, 30, 
## 28, 29, 30, 26, 25, 25, 22, 22, 22, 23, 26, 24, 24, 20, 23, 29, 
## 24, 22, 23, 27, 24, 21, 19, 22, 19, 26, 18, 26, 24, 23, 24, 24, 
## 24, 28, 26, 28, 28, 24, 22, 22, 20, 21, 24, 24, 25, 22, 25, 33, 
## 31, 26, 26, 27, 26, 24, 23, 23, 24, 21, 20, 25, 25, 27, 28, 26, 
## 27, 29, 29, 30, 29, 26, 28, 25, 26, 24, 23, 23, 22, 24, 24, 28, 
## 21, 29, 24, 24, 22, 18, 27, 21, 25, 23, 25, 25, 24, 27, 33, 24, 
## 19, 22, 21, 24, 20, 20, 19, 19, 22, 20, 22, 20, 24, 20, 24, 26, 
## 25, 28, 27, 31, 29, 30, 30, 28, 30, 25, 22, 21, 22, 21, 23, 21, 
## 22, 22, 20, 23, 24, 24, 26, 23, 28, 21, 21, 22, 21, 24, 22, 22, 
## 20, 23, 17, 25, 23, 27, 24, 28, 28, 30, 27, 28, 30, 30, 25, 26, 
## 24, 27, 26, 25, 25, 27, 26, 27, 27, 27, 26, 25, 25, 27, 25, 26, 
## 24, 26, 28, 28, 28, 28, 28, 29, 27, 28, 28, 27, 30, 26, 27, 29, 
## 28, 29, 26, 28, 27, 27, 28, 25, 26, 49, 45, 46, 46, 41, 43, 46, 
## 45, 46, 43, 44, 44, 45, 47, 45, 44, 45, 48, 47, 46, 47, 48, 45, 
## 44, 46, 46, 45, 47, 46, 46, 45, 44, 47, 48, 50, 45, 48, 46, 47, 
## 46, 47, 45, 48, 45, 48, 47, 46, 47, 47, 48, 46, 42, 42, 44, 48, 
## 50, 48, 47, 43, 48, 46, 48, 44, 46, 46, 46, 46, 44, 46, 45, 48, 
## 47, 42, 51, 48, 45, 48, 49, 48, 43, 45, 47, 43, 45, 48, 46, 46, 
## 47, 47, 49, 43, 47, 48, 44, 45, 46, 45, 45, 45, 45, 48, 44, 46, 
## 43, 45, 45, 42, 46, 46, 44, 45, 43, 45, 46, 45, 44, 47, 44, 42, 
## 44, 42, 44, 41, 40, 45, 39, 45, 42, 42, 43, 38, 38, 32, 36, 41, 
## 39, 36, 37, 39, 39, 38, 42, 39, 33, 37, 39, 36, 38, 37, 34, 35, 
## 33, 33, 37, 40, 38, 38, 43, 45, 38, 39, 41, 36, 36, 36, 35, 37, 
## 37, 39, 39, 41, 38, 37, 41, 45, 41, 38, 38, 40, 36, 34, 40, 37, 
## 32, 36, 35, 34, 37, 39, 36, 37, 37, 45, 39, 43, 40, 38, 37, 37, 
## 38, 37, 36, 34, 36, 34, 32, 39, 36, 40, 41, 37, 39, 35, 35, 36, 
## 36, 36, 35, 36, 33, 35, 39, 53, 31, 51, 29, 35, 38, 43, 41, 41, 
## 41, 40, 32, 38, 32, 38, 38, 38, 38, 39, 42, 41, 40, 40, 36, 32, 
## 29, 31, 34, 30, 31, 31, 33, 31, 34, 41, 44, 42, 38, 40, 35, 34, 
## 40, 37, 38, 33, 38, 33, 33, 36, 37, 41, 40, 36, 30, 36, 32, 31, 
## 32, 36, 39, 35, 38, 40, 41, 39, 42, 39, 36, 35, 33, 34, 34, 34, 
## 34, 38, 40, 36, 36, 38, 36, 36, 36, 36, 35, 34, 33, 35, 33, 38, 
## 35, 43, 43, 40, 41, 43, 42, 40, 38, 38, 45, 42, 41, 41, 37, 41, 
## 40, 42, 38, 41, 39, 46, 46, 46, 43, 48, 51, 49, 50, 49, 53, 49, 
## 49, 49, 45, 46, 47, 46, 49, 40, 47, 49, 47, 46, 46, 48, 44, 43, 
## 42, 42, 42, 40, 43, 40, 45, 42, 41, 47, 45, 45, 46, 47, 47, 49, 
## 46, 47, 41, 41, 40, 42, 39, 40, 44, 42, 37, 36, 36, 35, 38, 42, 
## 41, 44, 39, 36, 39, 39, 47, 52, 51, 50, 44, 48, 50, 48, 45, 42, 
## 37, 37, 37, 33, 38, 44, 44, 41, 41, 38, 38, 40, 39, 41, 40, 41, 
## 42, 40, 38, 38, 37, 42, 43, 44, 41, 35, 38, 40, 45, 45, 43, 41, 
## 36, 37, 38, 39, 35, 41, 36, 38, 35, 39, 38, 38, 39, 37, 41, 39, 
## 38, 40, 40, 39, 39, 42, 39, 42, 43, 40, 43, 44, 30, 30, 31, 29, 
## 28, 29, 28, 27, 28, 29, 27, 28, 30, 28, 31, 30, 29, 30, 31, 31, 
## 30, 28, 29, 29, 27, -156, -156, -157, -157, -157, -156, -156, 
## -156, -157, -158, -155, -157, -156, -155, -155, -156, -156, -157, 
## -157, -157, -159, -158, -158, -157, -159, -158, -158, -158, -158, 
## -159, -159, -160, -158, -158, -157, -161, -159, -158, -159, -159, 
## -158, -158, -156, -157, -157, -155, -158, -158, -157, -155, -154, 
## -156, -155, -155, -155, -156, -154, -154, -156, -157, -157, -157, 
## -158, -153, -152, -155, -157, -158, -154, -157, -157, -157, -152, 
## -155, -157, -156, -157, -156, -157, -157, -158, -155, -153, -157, 
## -156, -156, -156, -158, -157, -154, -156, -155, -155, -154, -155, 
## -155, -154, -155, -172, -167, -164, -166, -163, -168, -169, -167, 
## -167, -170, -167, -167, -168, -166, -168, -169, -145, -144, -156, 
## -158, -152, -162, -175, -179, -159, -159, -158, -157, -149, -156, 
## -157, -157, -157, -159, -159, -158, -159, -160, -156, -156, -157, 
## -157, -158, -159, -156, -158, -160, -157, -173, -163, -157, -157, 
## -160, -160, -161, -161, -160, -157, -156, -158, -157, -156, -155, 
## -155, -154, -154, -153, -164, -164, -150, -157, -155, -153, -158, 
## -158, -155, -154, -156, -155, -156, -157, -147, -155, -150, -154, 
## -152, -151, -147, -155, -150, -157, -155, -155, -153, -157, -155, 
## -155, -153, -154, -156, -155, -151, -156, -157, -153, -154, -157, 
## -153, -158, -154, -157, -155, -158, -159, -156, -158, -158, -159, 
## -158, -159, -158, -159, -158, -158, -160, -158, -157, -158, -157, 
## -159, -154, -153, -156, -157, -156, -153, -158, -159, -159, -160, 
## -162, -157, -165, -156, -161, -159, -159, -153, -158, -158, -158, 
## -159, -160, -160, -165, -163, -157, -163, -162, -161, -160, -158, 
## -159, -163, -159, -160, -159, -157, -158, -160, -157, -158, -154, 
## -154, -152, -154, -156, -157, -155, -156, -156, -160, -157, -160, 
## -159, -160, -157, -157, -165, -163, -165, -156, -161, -161, -160, 
## -161, -159, -162, -159, -158, -158, -157, -162, -163, -161, -159, 
## -160, -159, -158, -160, -156, -163, -158, -162, -160, -160, -163, 
## -160, -161, -162, -163, -157, -159, -160, -160, -161, -160, -160, 
## -162, -163, -163, -161, -158, -163, -161, -159, -157, -161, -157, 
## -159, -155, -158, -158, -158, -159, -159, -158, -158, -158, -158, 
## -160, -160, -157, -161, -160, -163, -164, -162, -167, -166, -166, 
## -165, -163, -166, -167, -163, -162, -160, -161, -158, -158, -158, 
## -158, -161, -160, -154, -161, -161, -157, -159, -161, -158, -161, 
## -170, -167, -167, -165, -167, -163, -163, -159, -160, -161, -157, 
## -165, -163, -161, -163, -161, -162, -165, -162, -168, -161, -177, 
## -163, -164, -160, -159, -160, -160, -161, -166, -160, -155, -157, 
## -161, -162, -160, -163, -164, -163, -163, -164, -162, -156, -156, 
## -154, -159, -158, -156, -152, -161, -164, -161, -159, -159, -163, 
## -158, -158, -161, -158, -158, -156, -158, -154, -147, -153, -152, 
## -149, -151, -158, -154, -159, -157, -155, -156, -157, -157, -159, 
## -160, -160, -158, -159, -160, -159, -160, -159, -157, -160, -159, 
## -158, -160, -160, -159, -154, -166, -165, -160, -160, -157, -159, 
## -162, -160, -167, -165, -164, -155, -160, -155, -159, -159, -157, 
## -161, -161, -161, -160, -162, -161, -159, -161, -157, -159, -159, 
## -163, -167, -166, -166, -168, -164, -161, -171, -163, -162, -161, 
## -161, -163, -158, -162, -163, -165, -166, -161, -162, -161, -162, 
## -161, -159, -158, -158, -160, -159, -157, -157, -157, -157, -159, 
## -158, -157, -157, -157, -158, -160, -156, -157, -159, -158, -156, 
## -158, -161, -159, -158, -159, -160, -159, -158, -158, -159, -159, 
## -158, -157, -160, -160, -159, -157, -159, -160, -157, -159, -158, 
## -158, -159, -157, -158, -159, -158, -158, -158, -158, -160, -158, 
## -158, -159, -159, -159, -158, -159, -157, -158, -158, -160, -159, 
## -159, -159, -159, -158, -158, -159, -158, -158, -158, -158, -159, 
## -159, -158, -162, -160, -160, -159, -160, -163, -158, -159, -161, 
## -161, -161, -162, -160, -161, -161, -162, -161, -165, -161, -161, 
## -163, -163, -161, -162, -160, -160, -159, -160, -163, -163, -161, 
## -160, -157, -163, -160, -158, -160, -157, -157, -159, -156, -151, 
## -156, -152, -156, -159, -153, -155, -151, -154, -154, -155, -157, 
## -158, -157, -162, -162, -160, -166, -155, -155, -151, -152, -155, 
## -155, -152, -155, -153, -154, -155, -169, -166, -165, -164, -168, 
## -176, -181, -166, -167, -164, -156, -145, -148, 40, 40, 42, 43, 
## 40, 40, 44, 42, 42, 40, 42, 42, 44, 39, 41, 42, 42, 41, 45, 44, 
## 45, 46, 46, 43, 46, 47, 46, 44, 48, 47, 48, 46, 45, 44, 42, 43, 
## 25, 27, 30, 28, 28, 27, 29, 33, 29, 30, 27, 26, 26, 23, 24, 24, 
## 24, 24, 27, 27, 28, 30, 30, 28, 27, 27, 27, 25, 24, 26, 25, 27, 
## 26, 28, 28, 27, 28, 28, 27, 30, 28, 30, 27, 29, 30, 27, 25, 27, 
## 23, 25, 24, 29, 28, 28, 28, 29, 30, 30, 31, 29, 29, 29, 29, 29, 
## 31, 27, 25, 25, 25, 26, 26, 22, 27, 28, 29, 29, 31, 31, 31, 31, 
## 31, 28, 29, 29, 29, 29, 32, 32, 30, 28, 28, 29, 30, 30, 33, 35, 
## 35, 36, 35, 33, 31, 31, 29, 31, 30, 29, 31, 31, 32, 31, 32, 31, 
## 31, 30, 30, 30, 29, 30, 32, 33, 31, 31, 31, 31, 31, 30, 30, 31, 
## 31, 31, 32, 30, 30, -177, -176, -168, -165, -163, -172, -172, 
## -173, -174, -168, -172, -172, -171, -173, -178, -179, -180, -179, 
## -178, -178, -177, -172, -166, -174, -177, -175, -176, -171, -173, 
## -173, -176, -178, -180, -177, -173, -174, -176, -177, -176, -178, 
## -177, -176, -175, -174, -175, -176, -178, -177, -178, -178, -174, 
## -173, -175, -173, -174, -188, -191, 21, 21, 26, 24, 24, 26, 30, 
## 30, 30, 28, 30, 30, 29, 24, 23, 22, -178, -174, -178, -178, -177, 
## -178, -182, -183, -185, -183, -183, -182, -183, -183, -172, -169, 
## -176, -176, -172, -178, -179, -184, -179, -177, -175, -176, -171, 
## -168, -171, -169, -169, -170, -170, -169, -171, -173, -177, -179, 
## -178, -178, -177, -175, -171, -162, -161, -162, -166, -170, -166, 
## -168, -168, -167, -167, -172, -174, -182, -182, -177, -178, -179, 
## -178, -176, -176, -166, -161, -161, -173, -174, -172, -171, -173, 
## -174, -175, -175, -177, -182, -181, -176, -174, -173, -174, -167, 
## -170, -168, -161, -166, -166, -171, -171, -174, -181, -181, -181, 
## -178, -171, -163, -162, -163, -167, -167, -167, -167, -169, -178, 
## -169, -164, -164, -165, -165, -165, -166, -164, -167, -170, -176, 
## -174, -177, -177, -172, -168, -168, -172, -170, -169, -185, -181, 
## -177, -168, -163, -161, -166, -166, -166, -165, -165, -166, -166, 
## -166, -171, -177, -180, -176, -166, -168, -168, -171, -166, -166, 
## -167, -166, -166, -173, -177, -180, -178, -179, -183, -177, -167, 
## -164, -169, -170, -169, -173, -170, -177, -180, -179, -173, -177, 
## -172, -168, -168, -171, -161, -162, -159, -163, -164, -168, -174, 
## -177, -173, -169, -168, -166, -161, -162, -161, -167, -169, -182, 
## -176, -165, -168, -174, -170, -173, -175, -175, -180, -179, -188, 
## -179, -176, -174, -170, -169, -166, -162, -164, -164, -162, -164, 
## -163, -163, -164, -166, -174, -174, -178, -178, -176, -176, -173, 
## -167, -161, -170, -168, -170, -171, -180, -181, -181, -179, -177, 
## -174, -168, -175, -170, -173, -168, -163, -163, -162, -163, -166, 
## -164, 28, 26, 18, 20, 19, 18, 20, 29, 29, 27, 28, 26, 19, 16, 
## 17, 18, 17, 15, 16, 13, 13, 12, 15, 16, 18, 22, 23, 25, 25, 25, 
## 23, 23, 24, 28, 26, 30, 30, 29, 25, 26, 28, 29, 28, 30, 29, 28, 
## 23, 17, 21, 18, 15, 13, 16, 15, 17, 20, 25, 27, 27, 21, 21, 25, 
## 27, 27, 29, 28, 27, 30, 23, 27, 22, 22, 22, 18, 20, 17, 16, 17, 
## 12, 13, 15, 20, 20, 20, 22, 22, 21, 17, 17, 24, 20, 22, 23, 23, 
## 25, 24, 25, 28, 27, 25, 27, 24, 26, 23, 20, 21, 19, 14, 15, 18, 
## 17, 17, 20, 22, 23, 21, 22, 29, 31, 28, 32, 30, 28, 28, 26, 22, 
## 21, 21, 16, 14, 17, 17, 20, 23, 24, 26, 18, 18, 15, 17, 18, 17, 
## 23, 24, 25, 25, 25, 26, 27, 30, 31, 31, 27, 25, 26, 23, 17, 16, 
## 17, 15, 14, 12, 14, 16, 16, 20, 20, 23, 24, 27, 26, 30, 25, 25, 
## 22, 23, 23, 20, 17, 18, 12, 13, 15, 17, 22, 27, 30, 30, 30, 32, 
## 30, 30, 30, 29, 27, 27, 23, 18, 21, 19, 16, 16, 18, 22, 26, 28, 
## 28, 28, 30, 30, 33, 30, 21, 24, 21, 31, 29, 28, 30, 33, 34, 32, 
## 33, 34, 34, 34, 32, 31, 26, 22, 17, 14, 21, 25, 19, 27, 28, 27, 
## 27, 27, 29, 22, 24, 27, 29, 29, 32, 32, 31, 31, 28, 28, 23, 21, 
## 13, 12, 13, 23, 24, 26, 26, 26, 25, 27, 23, 22, 20, 19, 17, 17, 
## 16, 15, 19, 21, 26, 25, 25, 26, 25, 26, 27, 25, 22, 20, 24, 24, 
## 21, 23, 22, 23, 30, 31, 31, 32, 29, 29, 28, 31, 26, 26, 30, 25, 
## 25, 25, 28, 28, 27, 22, 26, 23, 23, 30, 30, 32, 28, 25, 24, 24, 
## 24, 22, 22, 25, 21, 25, 27, 25, 32, 30, 29, 33, 31, 27, 30, 25, 
## 22, 22, 21, 17, 23, 22, 23, 21, 25, 24, 29, 30, 30, 33, 32, 31, 
## 31, 24, 23, 27, 18, 21, 25, 24, 19, 16, 19, 19, 20, 22, 23, 24, 
## 22, 24, 29, 31, 26, 27, 26, 26, 24, 21, 20, 23, 21, 24, 28, 26, 
## 24, 28, 29, 25, 24, 25, 25, 25, 31, 31, 27, 23, 22, 22, 21, 18, 
## 22, 20, 18, 21, 23, 26, 24, 24, 23, 23, 20, 19, 18, 22, 21, 19, 
## 20, 16, 18, 19, 21, 22, 21, 21, 23, 22, 24, 24, 30, 26, 25, 29, 
## 28, 32, 34, 33, 33, 29, 23, 22, 22, 19, 20, 26, 23, 25, 22, 24, 
## 23, 24, 23, 30, 25, 28, 25, 27, 25, 20, 23, 21, 19, 23, 21, 22, 
## 27, 28, 28, 25, 27, 29, 28, 28, 26, 26, 20, 17, 23, 22, 24, 24, 
## 24, 25, 28, 23, 22, 24, 15, 18, 17, 18, 29, 27, 33, 34, 35, 30, 
## 23, 20, 16, 15, 20, 38, 18, 19, 27, 24, 24, 27, 26, 26, 24, 19, 
## 20, 18, 17, 23, 23, 21, 19, 17, 19, 19, 16, 18, 17, 17, 16, 20, 
## 18, 21, 19, 16, 18, 18, 22, 22, 20, 23, 21, 21, 24, 20, 27, 26, 
## 22, 19, 24, 22, 23, 23, 30, 24, 29, 30, 30, 21, 21, 19, 22, 22, 
## 43, 35, 36, 30, 36, 38, 38, 35, 40, 41, 43, 39, 45, 44, 45, 44, 
## 42, 41, 49, 40, 35, 34, 41, 41, 47, 44, 42, 38, 36, 31, 35, 33, 
## 45, 45, 47, 48, 42, 44, 37, 37, 38, 37, 36, 39, 46, 39, 41, 39, 
## 34, 35, 36, 42, 38, 35, 34, 47, 43, 45, 40, 39, 38, 34, 40, 34, 
## 35, 36, 39, 36, 41, 39, 40, 43, 44, 35, 39, 34, 34, 34, 36, 32, 
## 37, 39, 35, 48, 44, 41, 42, 37, 33, 31, 30, 36, 33, 35, 43, 42, 
## 47, 44, 36, 34, 33, 34, 36, 39, 40, 37, 42, 45, 38, 39, 38, 36, 
## 36, 35, 37, 35, 35, 46, 41, 39, 33, 32, 34, 34, 39, 47, 35, 38, 
## 38, 36, 39, 32, 42, 38, 33, 39, 34, 51, 41, 35, 30, 35, 32, 31, 
## 37, 41, 40, 38, 44, 46, 47, 34, 30, 31, 31, 33, 31, 33, 33, 44, 
## 41, 45, 41, 37, 40, 36, 31, 31, 32, 26, 28, 25, 27, 36, 37, 39, 
## 35, 37, 34, 30, 28, 30, 29, 25, 37, 38, 43, 46, 39, 36, 36, 38, 
## 37, 30, 27, 45, 48, 49, 44, 43, 42, 43, 42, 44, 43, 44, 44, 40, 
## 43, 42, 47, -159, -160, -160, -157, -160, -161, -163, -165, -163, 
## -162, -160, -158, -160, -161, -162, -159, -160, -160, -157, -159, 
## -160, -159, -160, -160, -160, -160, -162, -162, -160, -160, -163, 
## -163, -165, -163, -162, -162, -162, -161, -159, -159, -160, -159, 
## -159, -160, -158, -160, -161, -161, -160, -159, -161, -160, -161, 
## -158, -161, -161, -160, -161, -158, -159, -160, -160, -160, -158, 
## -159, -160, -159, -161, -162, -161, -167, -163, -162, -162, -159, 
## -161, -161, -159, -160, -159, -160, -158, -159, -159, -161, -160, 
## -161, -162, -162, -162, -160, -162, -160, -160, -157, -159, -159, 
## -159, -160, -162, -163, -162, -164, -163, -161, -159, -159, -161, 
## -159, -161, -161, -161, -160, -161, -161, -160, -160, -159, -161, 
## -159, -159, -159, -160, -161, -161, -162, -161, -164, -164, -161, 
## -163, -161, -161, -160, -160, -160, -161, -159, -159, -158, -160, 
## -160, -160, -160, -160, -160, -160, -161, -162, -161, -161, -161, 
## -160, -161, -161, -160, -159, -160, -162, -158, -159, -160, -163, 
## -160, -162, -158, -160, -159, -157, -159, -158, -159, -159, -161, 
## -161, -161, -160, -160, -163, -161, -161, -160, -160, -160, -162, 
## -161, -162, -162, -159, -158, -159, -159, -161, -158, -158, -157, 
## -160, -158, -158, -158, -158, -160, -158, -159, -161, -162, -160, 
## -160, -160, -158, -159, -160, -159, -160, -160, -161, -162, -160, 
## -158, -159, -161, -160, -162, -162, -160, -162, -163, -164, -163, 
## -164, -164, -161, -162, -159, -160, -158, -159, -159, -159, -159, 
## -159, -160, -158, -159, -158, -157, -159, -164, -161, -161, -159, 
## -157, -158, -156, -155, -156, -154, -153, -150, -153, -156, -153, 
## -153, -154, -153, -151, -152, -151, -153, -154, -155, -158, -158, 
## -159, -159, -159, -157, -159, -175, -171, -179, -181, -180, -176, 
## -171, -164, -160, -159, -155, -157, -164, -164, -164, -164, -161, 
## -158, -164, -170, -164, -160, -161, -160, -162, -163, -162, -158, 
## -156, -160, -158, -160, -162, -161, -160, -160, -160, -159, -160, 
## -159, -160, -164, -163, -161, -159, -163, -164, -161, -162, -161, 
## -157, -160, -159, -159, -158, -158, -161, -160, -161, -160, -161, 
## -161, -160, -160, -161, -162, -163, -161, -162, -161, -161, -162, 
## -164, -160, -161, -160, -160, -160, -159, -160, -160, -158, -159, 
## -157, -159, -161, -161, -160, -160, -161, -160, -160, -160, -162, 
## -162, -162, -160, -161, -161, -165, -166, -163, -162, -165, -160, 
## -161, -162, -162, -158, -160, -160, -158, -157, -158, -157, -162, 
## -163, -166, -163, -163, -162, -159, -158, -157, -159, -157, -156, 
## -156, -156, -156, -157, -156, -155, -154, -155, -154, -156, -157, 
## -159, -159, -154, -155, -155, -153, -160, -161, -164, -159, -159, 
## -161, -161, -160, -159, -156, -156, -154, -157, -156, -154, -153, 
## -151, -151, -151, -150, -150, -151, -155, -157, -156, -158, -156, 
## -157, -154, -158, -156, -154, -156, -158, -156, -158, -155, -155, 
## -156, -157, -156, -159, -157, -157, -155, -158, -159, -156, -158, 
## -159, -158, -158, -158, -159, -161, -157, -155, -155, -157, -156, 
## -155, -152, -154, -153, -153, -156, -158, -158, -159, -159, -158, 
## -155, -157, -156, -157, -156, -155, -154, -155, -157, -158, -155, 
## -159, -157, -153, -158, -156, -159, -159, -160, -159, -160, -159, 
## -158, -160, -160, -159, -158, -157, -162, -160, -160, -161, -159, 
## -159, -158, -157, -158, -156, -156, -157, -157, -158, -157, -157, 
## -155, -157, -157, -155, -160, -161, -160, -158, -157, -156, -159, 
## -158, -159, -161, -160, -163, -162, -160, -161, -164, -161, -159, 
## -161, -158, -159, -159, -158, -159, -159, -158, -158, -159, -159, 
## -160, -160, -159, -160, -159, -159, -160, -160, -160, -157, -158, 
## -156, -155, -153, -153, -153, -156, -154, -154, -154, -154, -155, 
## -155, -155, -157, -157, -157, -156, -156, -155, -155, -155, -156, 
## -155, -155, -156, -155, -152, -153, -154, -157, -156, -155, -157, 
## -157, -159, -157, -157, -158, -157, -158, -157, -159, -158, -159, 
## -157, -155, -157, -157, -155, -154, -152, -154, -150, -158, -155, 
## -155, -158, -157, -158, -159, -159, -158, -159, -157, -157, -157, 
## -158, -160, -158, -156, -159, -162, -162, -160, -161, -160, -159, 
## -156, -157, -157, -157, -155, -153, -154, -155, -154, -157, -156, 
## -154, -158, -159, -159, -161, -159, -160, -161, -160, -159, -158, 
## -158, -157, -157, -158, -158, -159, -160, -158, -158, -158, -158, 
## -158, -159, -157, -158, -160, -161, -160, -156, -152, -156, -155, 
## -158, -156, -157, -159, -161, -161, -159, -161, -162, -162, -161, 
## -161, -161, -159, -160, -161, -157, -159, -158, -160, -159, -159, 
## -160, -160, -159, -160, -159, -159, -159, -162, -168, -168, -165, 
## -167, -162, -165, -161, -160, -159, -160, -154, -155, -157, -156, 
## -159, -159, -160, -159, -163, -159, -162, -158, -163, -163, -163, 
## -163, -162, -163, -163, -162, -162, -162, -162, -161, -163, -161, 
## -162, -161, -164, -162, -162, -162, -165, -164, -165, -164, -160, 
## -159, -165, -162, -159, -158, -160, -160, -158, -159, -159, -158, 
## -158, -159, -157, -158, -159, -158, -158, -157, -157, -158, -159, 
## -161, -161, -161, -162, -160, -160, -161, -161, -162, -162, -161, 
## -161, -157, -157, -158, -157, -158, -157, -158, -157, -159, -162, 
## -160, -162, -164, -163, -163, -162, -163, -164, -161, -161, -159, 
## -161, -161, -161, -161, -164, -162, -164, -163, -163, -161, -162, 
## -162, -163, -162, -162, -161, -163, -161, -161, -161, -160, -160, 
## -161, -159, -159, -159, -159, -159, -159, -158, -159, -161, -159, 
## -159, -158, -160, -160, -162, -161, -164, -159, -159, -158, -159, 
## -159, -157, -157, -156, -155, -153, -152, -153, -155, -155, -156, 
## -157, -160, -160, -159, -160, -160, -158, -160, -162, -163, -160, 
## -161, -160, -160, -160, -159, -160, -159, -158, -160, -156, -158, 
## -155, -151, -153, -154, -156, -156, -155, -156, -155, -160, -157, 
## -155, -158, -157, -156, -159, -158, -158, -156, -158, -159, -159, 
## 47, 46, 46, 49, 50, 48, 48, 46, 45, 45, 42, 33, 28, 37, 40, 38, 
## 40, 39, 47, 43, 46, 49, 46, 45, 45, 47, 36, 36, 42, 45, 47, 42, 
## 35, 33, 31, 26, 25, 31, 31, 36, 42, 48, 43, 43, 38, 38, 41, 34, 
## 35, 35, 35, 30, 39, 39, 35, 41, 38, 32, 37, 36, 31, 29, 35, 42, 
## 42, 38, 41, 47, 47, 45, 42, 37, 36, 37, 33, 34, 37, 30, 28, 30, 
## 27, 22, 24, 24, 26, 25, 26, 26, 25, 28, 28, 26, 24, 27, 27, 30, 
## 29, 26, 29, 26, 26, 23, 23, 23, 17, 13, 12, 11, 10, 12, 17, 25, 
## 28, 28, 32, 30, 28, 26, 24, 19, 24, 23, 25, 25, 25, 29, 27, 26, 
## 28, 30, 29, 29, 29, 28, 27, 26, 29, 18, 18, 30, 27, 27, 17, 15, 
## 16, 19, 20, 24, 25, 23, 25, 26, 29, 30, 27, 29, 30, 30, 30, 30, 
## 31, 30, 31, 30, 29, 30, -164, -162, -163, -169, -168, -170, -181, 
## -180, -182, -180, -178, -173, -178, -178, -177, -173, -171, -172, 
## -167, -164, -169, -171, -170, -172, -178, -177, -177, -174, -171, 
## -170, -171, 22, 22, 22, 20, 22, 22, 24, 23, 22, 23, 22, 23, 23, 
## 21, 18, 17, 17, 17, 17, 22, 21, 20, 22, 19, 18, 20, 18, 21, 20, 
## 18, 16, 20, 23, 24, 27, 24, 28, 27, 27, 27, 27, 25, 28, 24, 26, 
## 22, 21, 21, 19, 24, 25, 20, 18, 20, 25, 22, 20, 20, 23, 24, 25, 
## 26, 27, 26, 26, 23, 24, 25, 22, 28, 25, 26, 26, 25, 26, 27, 25, 
## 22, 21, 23, 23, 29, 25, 26, 26, 22, 20, 21, 21, 18, 19, 21, 22, 
## 22, 26, 26, 27, 26, 30, 26, 26, 26, 29, 29, 28, 27, 25, 25, 28, 
## 26, 23, 26, 25, 19, 20, 22, 19, 21, 21, 22, 20, 22, 21, 23, 23, 
## 24, 24, 28, 28, 25, 20, 24, -169, -170, -174, -178, -179, -176, 
## -174, -175, -177, -176, -177, -174, -173, -177, -171, -169, -171, 
## -170, -174, -171, -174, -174, -169, -174, -171, -169, -167, -167, 
## -168, -167, -169, -169, -173, -167, -169, -168, -171, -173, -173, 
## -178, -174, -170, -170, -171, -177, -169, -172, -172, -172, -172, 
## -174, -173, -175, -175, -172, -173, -175, -173, -175, -172, -173, 
## -174, -174, -176, -171, -172, -171, -170, -169, -175, -174, -180, 
## -174, -179, -179, -176, -177, -175, -175, -173, -172, -173, -170, 
## -168, -172, -175, -174, -176, -172, -172, -176, -175, -177, -174, 
## -177, -170, -175, -172, -176, -175, -176, -177, -173, -175, -170, 
## -171, -167, -173, -172, -169, -171, -172, -170, -172, -175, -173, 
## -169, -174, -171, -169, -168, -167, -170, -166, -168, -164, -164, 
## -170, -169, -169, -170, -167, -169, -165, -174, -176, -173, -170, 
## -170, -168, -172, -170, -170, -170, -172, -174, -171, -171, -167, 
## -167, -171, -171, -167, -168, -169, -169, -168, -169, -169, -171, 
## -169, -173, -170, -174, -171, -172, -171, -173, -172, -172, -171, 
## -172, -173, -176, -175, -174, -174, -174, -170, -170, -170, -170, 
## -171, -170, -170, -167, -167, -167, -163, -173, -175, -169, -171, 
## -175, -174, -168, -173, -170, -170, -170, -177, -173, -176, -175, 
## -171, -169, -172, -170, -169, -167, -169, -170, -170, -170, -170, 
## -170, -175, -175, -175, -173, -176, -174, -172, -166, -165, -167, 
## -172, -171, -168, -172, -172, -172, -170, -169, -168, -170, -169, 
## 22, 20, 22, 27, 21, 19, 23, 22, 21, 24, 22, 24, 22, 24, 23, 23, 
## 26, 25, 23, 27, 24, 25, 26, 26, 23, 20, 18, 21, 20, 24, 22, 31, 
## 29, 23, 24, 17, 24, 22, 23, 24, 24, 24, 25, 23, 27, 26, 24, 26, 
## 23, 23, 22, 22, 23, 20, 21, 22, 26, 27, 28, 29, 28, 26, 21, 21, 
## 23, 22, 21, 25, 23, 25, 21, 27, 27, 25, 23, 27, 25, 26, 24, 24, 
## 24, 20, 19, 19, 17, 17, 18, 19, 24, 28, 28, 28, 29, 29, 28, 22, 
## 20, 19, 18, 20, 22, 27, 27, 27, 26, 26, 26, 26, 25, 24, 23, 22, 
## 21, 21, 20, 21, 21, 23, 23, 25, 26, 22, 20, 23, 26, 27, 26, 27, 
## 27, 28, 28, 24, 19, 18, 19, 19, 19, 17, 25, 28, 21, 19, 17, 18, 
## 19, 22, 22, 22, 20, 24, 24, 24, 25, 28, 29, 28, 27, 25, 25, 24, 
## 20, 21, 18, 18, 18, 20, 26, 28, 27, 25, 26, 25, 22, 19, 18, 21, 
## 22, 22, 20, 22, 19, 22, 22, 19, 20, 21, 23, 21, 27, 23, 18, 17, 
## 19, 23, 27, 28, 26, 25, 23, 23, 22, 20, 20, 21, 19, 28, 28, 26, 
## 26, 28, 26, 24, 24, 19, 19, 23, 20, 28, 28, 27, 25, 28, 23, 18, 
## 22, 21, 20, 20, 21, 23, 23, 24, 23, 24, 28, 24, 26, 26, 27, 25, 
## 27, 28, 22, 25, 23, 22, 22, 25, 20, 22, 20, 22, 22, 21, 19, 23, 
## 20, 24, 26, 20, 24, 21, 21, 22, 19, 18, 22, 21, 21, 25, 22, 20, 
## 20, 23, 26, 23, 21, 26, 25, 21, 21, 20, 18, 18, 17, 17, 17, 16, 
## 23, 18, 19, 20, 18, 17, 22, 17, 14, 15, 18, 16, 17, 19, 19, 20, 
## 21, 21, 19, 22, 21, 23, 19, 17, 18, 17, 21, 21, 24, 23, 26, 22, 
## 20, 17, 17, 16, 19, 19, 24, 21, 20, 21, 18, 18, 22, 20, 19, 20, 
## 20, 17, 19, 20, 24, 25, 22, 22, 24, 22, 23, 25, 26, 23, 26, 25, 
## 26, 22, 20, 17, 16, 18, 19, 22, 21, 22, 22, 22, 18, 20, 19, 16, 
## 18, 18, 27, 23, 26, 25, 24, 22, 20, 19, 23, 21, 22, 24, 23, 24, 
## 22, 23, 21, 22, 18, 27, 29, 25, 27, 29, 29, 28, 31, 30, 27, 26, 
## 28, 26, 22, 21, 20, 23, 18, 21, 23, 21, 24, 27, 25, 25, 22, 25, 
## 20, 22, 20, 26, 27, 25, 23, 27, 26, 32, 31, 30, 28, 28, 26, 23, 
## 21, 22, 25, 22, 24, 26, 29, 24, 28, 26, 26, 22, 26, 23, 18, 30, 
## 29, 29, 32, 21, 23, 17, 22, 18, 22, 25, 21, 26, 26, 27, 28, 26, 
## 20, 20, 15, 17, 17, 19, 17, 17, 18, 18, 16, 18, 17, 18, 11, 17, 
## 19, 17, 20, 23, 24, 22, 21, 19, 20, 20, 21, 21, 20, 23, 24, 21, 
## 23, 22, 21, 21, 23, 23, 23, 22, 18, 18, 44, 44, 48, 42, 43, 42, 
## 43, 44, 44, 43, 43, 46, 46, 47, 45, 44, 45, 47, 45, 44, 47, 48, 
## 46, 45, 44, 46, 41, 44, 44, 44, 46, 43, 44, 42, 45, 46, 43, 42, 
## 41, 44, 41, 38, 43, 43, 45, 44, 45, 43, 46, 43, 48, 45, 44, 47, 
## 43, 40, 42, 44, 46, 40, 37, 43, 37, 43, 41, 41, 43, 45, 43, 44, 
## 45, 49, 51, 45, 44, 44, 50, 49, 49, 44, 44, 44, 43, 45, 45, 45, 
## 47, 46, 46, 46, 48, 45, 37, 38, 39, 43, 46, 48, 49, 41, 41, 44, 
## 35, 42, 40, 44, 44, 39, 43, 47, 43, 45, 39, 37, 39, 41, 43, 46, 
## 45, 46, 47, 47, 41, 42, 39, 40, 38, 45, 41, 44, 44, 47, 48, 47, 
## 47, 46, 48, 48, 44, 39, 39, 39, 38, 43, 40, 46, 42, 42, 38, 39, 
## 38, 34, 35, 35, 38, 48, 41, 46, 42, 45, 44, 45, 44, 43, 43, 38, 
## 37, 41, 39, 40, 43, 43, 43, 44, 39, 44, 44, 44, 45, 45, 48, 47, 
## 46, 49, 45, 44, 41, 37, 43, 41, 44, 42, 37, 35, 32, 32, 40, 46, 
## 46, 40, 42, 45, 43, 42, 41, 45, 45, 45, 40, 37, 37, 42, 37, 36, 
## 43, 43, 43, 41, 46, 42, 41, 42, 45, 37, 40, 43, 43, 46, 42, 44, 
## 47, 45, 45, 45, 41, 42, 44, 43, 42, 40, 45, 47, 47, 47, 44, 44, 
## 41, 42, 41, 42, 41, 40, 39, 42, 45, 43, 43, 42, 43, 44, 39, 44, 
## 41, 44, 45, 40, 39, 35, 36, 35, 37, 38, 40, 43, 47, 45, 48, 46, 
## 39, 42, 44, 45, 36, 37, 39, 34, 54, 40, 29, 38, 36, 38, 40, 41, 
## 43, 36, 39, 40, 39, 38, 30, 42, 45, 42, 42, 43, 37, 33, 38, 40, 
## 38, 42, 40, 42, 39, 39, 40, 40, 41, 37, 38, 35, 40, 41, 39, 39, 
## 41, 39, 41, 42, 48, 45, 41, 46, 44, 50, 49, 44, 47, 40, 46, 41, 
## 36, 46, 44, 46, 45, 46, 45, 45, 45, 46, 44, 42, 41, 43, 43, 44, 
## 44, 45, 43, 43, 41, 41, 43, -157, -158, -159, -158, -161, -160, 
## -159, -159, -159, -159, -155, -157, -157, -157, -157, -158, -161, 
## -161, -162, -158, -160, -159, -160, -161, -159, -156, -158, -157, 
## -159, -157, -159, -159, -161, -160, -161, -162, -161, -162, -161, 
## -162, -162, -159, -159, -160, -159, -159, -163, -161, -163, -159, 
## -160, -161, -161, -158, -159, -158, -159, -160, -160, -159, -159, 
## -160, -160, -161, -161, -160, -162, -162, -159, -161, -160, -162, 
## -163, -163, -163, -164, -161, -163, -161, -160, -159, -168, -168, 
## -162, -165, -162, -161, -162, -162, -164, -164, -163, -164, -163, 
## -163, -163, -163, -162, -160, -163, -160, -160, -161, -164, -161, 
## -159, -161, -158, -160, -161, -161, -160, -160, -160, -160, -162, 
## -160, -159, -160, -160, -160, -159, -159, -160, -160, -160, -159, 
## -161, -160, -159, -161, -162, -163, -160, -162, -160, -162, -162, 
## -164, -162, -163, -161, -161, -161, -160, -160, -160, -160, -160, 
## -161, -161, -161, -161, -163, -165, -161, -162, -162, -164, -163, 
## -163, -161, -161, -164, -160, -162, -161, -161, -162, -160, -162, 
## -160, -161, -161, -161, -163, -163, -161, -159, -162, -160, -159, 
## -160, -160, -160, -158, -161, -161, -160, -160, -158, -159, -159, 
## -160, -159, -162, -162, -163, -161, -160, -162, -159, -160, -158, 
## -159, -159, -160, -160, -160, -159, -159, -160, -162, -161, -163, 
## -160, -159, -159, -159, -159, -158, -158, -160, -162, -162, -159, 
## -160, -160, -159, -160, -160, -163, -160, -159, -159, -156, -158, 
## -158, -160, -162, -162, -164, -159, -158, -159, -160, -159, -158, 
## -159, -160, -160, -161, -159, -160, -159, -159, -158, -159, -160, 
## -160, -160, -160, -161, -161, -160, -159, -160, -159, -161, -160, 
## -159, -160, -160, -160, -160, -159, -160, -160, -160, -159, -160, 
## -162, -162, -160, -160, -159, -160, -161, -161, -160, -161, -159, 
## -159, -158, -158, -158, -159, -159, -160, -158, -159, -159, -159, 
## -158, -159, -159, -158, -158, -157, -156, -158, -156, -157, -155, 
## -158, -159, -154, -155, -158, -161, -161, -159, -158, -157, -158, 
## -155, -157, -155, -156, -155, -157, -155, -153, -152, -155, -154, 
## -153, -157, -156, -156, -156, -157, -156, -158, -157, -157, -158, 
## -156, -156, -157, -156, -156, -158, -156, -156, -157, -158, -157, 
## -160, -160, -159, -160, -159, -158, -159, -158, -160, -157, -161, 
## -161, -160, -160, -161, -162, -161, -160, -160, -161, -160, -159, 
## -157, -162, -159, -160, -160, -161, -160, -159, -161, -161, -161, 
## -162, -162, -165, -160, -162, -160, -160, -160, -160, -160, -161, 
## -159, -160, -158, -159, -160, -158, -160, -160, -159, -159, -161, 
## -160, -160, -162, -159, -160, -159, -161, -156, -158, -158, -157, 
## -157, -156, -154, -158, -157, -160, -159, -159, -159, -157, -161, 
## -160, -160, -158, -157, -158, -161, -160, -157, -158, -158, -159, 
## -159, -159, -160, -161, -160, -159, -160, -163, -163, -164, -160, 
## -161, -159, -162, -159, -161, -160, -159, -160, -161, -160, -161, 
## -160, -164, -161, -160, -163, -162, -161, -160, -161, -162, -161, 
## -161, -161, -160, -160, -160, -160, -161, -160, -161, -160, -161, 
## -167, -168, -164, -163, -162, -165, -166, -164, -164, -162, -162, 
## -161, -163, -163, -164, -162, -162, -165, -165, -169, -166, -166, 
## -168, -165, -164, -165, -166, -165, -167, -165, -162, -163, -164, 
## -164, -161, -164, -162, -162, -160, -162, -164, -163, -167, -164, 
## -172, -169, -165, -168, -165, -160, -159, -161, -160, -160, -159, 
## -160, -158, -158, -158, -160, -162, -162, -161, -160, -162, -162, 
## -160, -166, -166, -165, -163, -165, -165, -165, -164, -163, -163, 
## -164, -164, -163, -163, -160, -162, -163, -162, -162, -161, -160, 
## -165, -163, -165, -163, -162, -164, -165, -167, -166, -168, -164, 
## -161, -162, -163, -160, -163, -161, -163, -162, -163, -163, -160, 
## -164, -162, -163, -162, -166, -163, -162, -163, -163, -165, -163, 
## -163, -164, -162, -164, -165, -168, -163, -165, -161, -165, -163, 
## -166, -167, -169, -163, -167, -166, -161, -162, -161, -161, -161, 
## -161, -160, -159, -159, -159, -160, -160, -159, -159, -163, -160, 
## -161, -159, -168, -167, -170, -169, -161, -160, -161, -161, -162, 
## -162, -162, -166, -165, -166, -170, -169, -167, -170, -167, -165, 
## -165, -165, -170, -169, -166, -165, -165, -165, -163, -164, -165, 
## -164, -165, -165, -166, -163, -164, -164, -165, -165, -168, -166, 
## -162, -160, -161, -164, -163, -164, -164, -162, -164, -163, -164, 
## -162, -166, -163, -161, -168, -156, -160, -162, -158, -160, -162, 
## -160, -161, -162, -162, -162, -165, -166, -165, -166, -167, -166, 
## -167, -162, -161, -163, -166, -166, -163, -161, -161, -162, -159, 
## -158, -159, -161, -160, -160, -161, -161, -162, -162, -161, -163, 
## -164, -162, -156, -156, -156, -155, -158, -160, -160, -159, -161, 
## -159, -159, -158, 44, 44, 42, 47, 46, 46, 47, 46, 43, 43, 44, 
## 46, 44, 42, 41, 38, 40, 41, 46, 47, 44, 45, 43, 48, 51, 50, 40, 
## 39, 41, 38, 44, 41, 40, 43, 45, 46, 44, 41, 39, 39, 39, 37, 21, 
## 23, 22, 22, 24, 24, 22, 24, 21, 26, 24, 28, 28, 28, 21, 23, 24, 
## 27, 29, 29, 29, 29, 27, 28, 27, 26, 16, 21, 22, 21, 21, 23, 24, 
## 23, 26, 25, 28, 28, 28, 29, 28, 27, 24, 23, 22, 21, -170, -171, 
## -174, -172, -170, -169, -164, -170, -165, -164, -166, -166, -165, 
## -168, -169, -171, -171, -169, -169, -169, -171, -167, -165, -173, 
## -177, -174, -177, -174, -176, -176, -174, -175, -173, -170, -174, 
## -170, -170, -174, -173, -172, -172, -172, -168, -173, -171, -167, 
## -169, -166, -165, -169, -170, -170, -169, -170, -172, -177, -174, 
## -175, -173, -177, -174, -172, -174, -176, -173, -171, -172, -172, 
## 29, 28, 28, 26, 27, 23, 24, 20, 22, 22, 24, 23, 22, 20, 21, 22, 
## 26, 29, 27, 22, 22, 23, 19, 18, 20, 19, 19, 20, 19, 16, 18, 16, 
## 21, 20, 22, 23, 26, 28, 26, 18, 19, 19, 17, 21, 19, 22, 20, 17, 
## 19, 19, 18, 16, 17, 20, 21, 22, 20, 17, 19, 25, 26, 23, 22, 16, 
## 19, 19, 18, 21, 14, 22, 25, 29, 23, 25, 28, 21, 25, 20, 17, 20, 
## 18, 22, 22, 18, 22, 22, 20, 23, 22, 21, 23, 23, 23, 22, 23, 24, 
## 24, 24, 24, 24, 26, 26, 25, 27, 28, 29, 27, 27, 27, 29, 28, 31, 
## 28, 27, 25, 27, 23, -170, -168, -168, -171, -167, -169, -164, 
## -163, -172, -177, -172, -177, -176, -176, -178, -178, -169, -173, 
## -174, -176, -174, -175, -174, -170, -169, -167, -168, -166, -163, 
## -166, -169, -165, -169, -169, -172, -170, -165, -165, -159, -164, 
## -165, -167, -166, -168, -171, -172, -175, -179, -176, -177, -175, 
## -175, -177, -176, -174, -175, -170, -171, -174, -171, -172, -170, 
## -170, -169, -170, -162, -163, -166, -163, -173, -171, -172, -178, 
## -163, -173, -172, -170, -169, -169, -169, -172, -172, -173, -171, 
## -173, -170, -172, -171, -171, -173, -169, -173, -169, -169, -169, 
## -169, -171, -168, -170, -170, -169, -171, -171, -171, -172, -171, 
## -171, -165, -165, -167, -168, -167, -173, -176, -176, -175, -175, 
## -173, -174, -172, -172, -169, -173, -175, -170, -171, -172, -173, 
## -172, -173, -173, -174, -172, -172, -172, -173, -171, -169, -174, 
## -172, -170, -170, -168, -171, -166, -166, -165, -162, -163, -163, 
## -163, -163, -173, -169, -171, -172, -171, -171, -172, -173, -173, 
## -172, -172, -172, -172, -175, -171, -163, -164, -165, -166, -168, 
## -169, -166, -172, -171, -167, -171, -170, -173, -173, -176, -172, 
## -175, -173, -172, -171, -170, -165, -168, -171, -172, -174, -172, 
## -175, -175, -177, -174, -178, -175, -173, -174, -172, -174, -173, 
## -174, -171, -177, -176, -175, -175, -170, -163, -175, -177, -177, 
## -181, -176, -173, -173, -175, -174, -172, -177, -171, -173, -171, 
## -167, -167, -166, -165, -160, -159, -161, -162, -162, -160, -163, 
## -167, -165, -164, -163, -166, -160, -160, -159, -161, -159, -160, 
## -160, -160, -162, -162, -163, -162, -164, -164, -166, -165, -167, 
## -164, -166, -162, -161, -161, -162, -163, -163, -162, -163, -163, 
## -163, -160, -162, -162, -160, -159, -161, -160, -160, -161, -160, 
## -159, -157, -159, -159, -162, -164, -162, -162, -163, -168, -167, 
## -167, -164, -166, -165, -165, -168, -167, -165, -164, -164, -164, 
## -164, -164, -161, -160, -160, -161, -161, -162, -163, -161, -161, 
## -158, -158, -160, -158, -159, -162, -161, -160, -160, -161, -161, 
## -159, -163, -166, -166, -165, -166, -165, -164, -166, -165, -164, 
## -163, -165, -162, -163, -162, -163, -162, -166, -161, -161, -162, 
## -161, -162, -162, -160, -159, -159, -161, -163, -159, -158, -158, 
## -159, -160, -162, -164, -166, -165, -163, -160, -159, -160, -161, 
## -162, -162, -161, -159, -161, -160, -163, -163, -162, -162, -161, 
## -164, -166, -162, -166, -167, -166, -165, -162, -163, -163, -163, 
## -159, -159, -162, -161, -160, -160, -157, -160, -161, -160, -158, 
## -158, -158, -161, -163, -162, -165, -163, -162, -165, -164, -163, 
## -160, -159, -158, 29, 30, 19, 19, 31, 7, 3, 1, -1, 1, -21, -29, 
## -21, -19, -17, -15, -11, -4, -10, 18, 20, 28, 43, 45, 72, 78, 
## 94, 95, 93, 81, 77, 72, 61, 54, 30, 5, 1, 1, -9, -30, -33, -52, 
## -49, -33, -36, -30, -22, -21, -20, -14, -8, -9, -15, -10, 6, 
## 22, 69, 71, -15, -38, -38, -41, -41, -28, -26, -20, -6, -5, -2, 
## 17, 34, 39, 59, 65, 79, 81, 85, 94, 94, 92, 98, 84, 82, 67, 47, 
## -15, -16, 14, -12, -19, -29, -33, -29, -48, -52, -60, -49, -41, 
## -38, -32, -27, -25, -25, -29, -31, -3, 12, 31, 33, 37, 47, 49, 
## 79, 88, 97, 102, 98, 90, 88, 55, 48, 27, -27, -26, -35, -48, 
## -47, -46, -46, -48, -48, -30, -32, -29, -24, -21, -29, -16, 31, 
## 36, 82, 90, 92, 87, 77, 74, 41, 36, 24, 17, 3, -29, -22, -35, 
## -48, -31, -32, -25, -23, -17, -14, -14, 30, 39, 52, 62, 78, 84, 
## 90, 92, 92, 70, 60, 44, 36, 25, 14, 5, -7, -17, -25, -34, -37, 
## -31, -33, -42, -29, -27, -30, -24, -22, -17, -17, -25, -23, -15, 
## -8, 27, 33, 38, 58, 64, 73, 78, 88, 89, 91, 89, 91, 92, 74, 50, 
## 28, 23, 20, -4, -10, -24, -28, -30, -31, -32, -42, -51, -44, 
## -53, -53, -41, -48, -50, -37, -36, -38, -20, -27, -27, -21, -5, 
## 7, 17, 28, 32, 33, 39, 38, 40, 42, 38, 46, 44, 41, 34, 34, 29, 
## 31, 30, 30, 29, 31, 29, 30, 30, 30, 25, 29, 19, 23, 20, 28, 22, 
## 25, 21, 21, 20, 21, 17, 17, 20, 20, 19, 19, 19, 19, 18, 18, 19, 
## 21, 21, 24, 20, 18, 24, 26, 26, 28, 23, 21, 21, 21, 21, 18, 19, 
## 19, 18, 19, 19, 17, 19, 19, 20, 21, 23, 22, 21, 19, 20, 21, 20, 
## 23, 19, 18, 20, 19, 19, 21, 23, 25, 26, 24, 20, 19, 19, 17, 20, 
## 19, 18, 18, 18, 17, 18, 15, 18, 19, 20, 19, 19, 22, 21, 19, 20, 
## 21, 19, 20, 21, 19, 21, 21, 23, 24, 28, 28, 26, 22, 24, 21, 21, 
## 22, 21, 14, 16, 22, 18, 22, 28, 26, 19, 20, 19, 19, 19, 20, 20, 
## 19, 22, 26, 29, 30, 25, 23, 21, 23, 25, 22, 22, 26, 23, 23, 28, 
## 25, 24, 23, 22, 20, 21, 22, 22, 26, 24, 23, 26, 26, 27, 31, 29, 
## 28, 24, 23, 20, 17, 19, 21, 23, 25, 22, 21, 23, 25, 23, 23, 27, 
## 26, 24, 21, 25, 18, 17, 18, 22, 13, 20, 20, 20, 21, 18, 20, 21, 
## 17, 23, 42, 44, 43, 42, 41, 46, 43, 43, 46, 41, 39, 39, 42, 40, 
## 40, 39, 41, 40, 38, 39, 40, 43, 46, 43, 43, 42, 37, 38, 37, 40, 
## 37, 38, 37, 41, 42, 40, 38, 42, 40, 40, 41, 42, 43, 47, 45, 36, 
## 41, 39, 39, 38, 38, 39, 40, 40, 40, 40, 37, 38, 37, 39, 36, 41, 
## 40, 40, 41, 44, 44, 46, 48, 38, 40, 39, 39, 37, 38, 42, 46, 46, 
## 45, 40, 37, 35, 38, 36, 38, 40, 38, 37, 39, 40, 36, 35, 35, 37, 
## 36, 42, 43, 48, 42, 43, 41, 35, 37, 38, 35, 43, 40, 39, 37, 34, 
## 37, 39, 41, 38, 39, 39, 38, 37, 37, 35, 38, 40, 35, 37, 35, 38, 
## 37, 40, 44, 44, 41, 44, 40, 39, 37, 36, 36, 35, 39, 39, 34, 34, 
## 34, 38, 37, 37, 36, 43, 44, 40, 34, 37, 38, 37, 40, 42, 42, 41, 
## 43, 41, 44, 41, 40, 50, 43, 43, 41, 41, 41, 39, 49, 48, 43, 45, 
## 44, 46, 47, 50, 45, 45, 42, 43, 42, 44, 42, 47, 45, 47, 43, 44, 
## 42, 42, 39, 40, 44, 42, 44, 42, 41, 42, 43, 43, 44, 42, 46, 46, 
## 47, 45, 46, 48, 48, 48, 44, 42, 43, 38, 37, 36, 37, 40, 39, 46, 
## 53, 42, 46, 47, 46, 41, 38, 42, 43, 41, 49, 50, 47, 45, 43, 45, 
## 46, 44, 43, 45, 44, 45, -159, -159, -159, -158, -158, -157, -157, 
## -156, -156, -157, -161, -156, -157, -159, -161, -160, -160, -159, 
## -160, -160, -159, -161, -161, -158, -156, -157, -156, -156, -157, 
## -156, -157, -159, -158, -156, -158, -156, -155, -158, -160, -160, 
## -157, -156, -158, -158, -158, -158, -159, -159, -157, -155, -154, 
## -160, -159, -159, -158, -159, -159, -158, -157, -159, -158, -158, 
## -159, -157, -158, -159, -159, -159, -159, -159, -159, -160, -160, 
## -158, -159, -158, -155, -158, -160, -158, -160, -159, -159, -158, 
## -160, -159, -159, -161, -161, -160, -161, -160, -161, -159, -160, 
## -160, -159, -159, -160, -159, -159, -160, -159, -159, -159, -160, 
## -159, -160, -160, -159, -160, -159, -159, -158, -158, -157, -158, 
## -157, -158, -158, -158, -159, -159, -158, -158, -161, -158, -158, 
## -158, -156, -159, -158, -158, -160, -159, -158, -159, -160, -159, 
## -163, -160, -159, -160, -161, -159, -161, -160, -161, -159, -160, 
## -158, -154, -155, -156, -158, -160, -160, -160, -159, -157, -157, 
## -159, -160, -160, -161, -160, -161, -158, -160, -159, -158, -158, 
## -158, -158, -151, -176, -178, -163, -165, -172, -161, -158, -159, 
## -159, -160, -160, -160, -158, -153, -153, -153, -157, -169, -164, 
## -163, -162, -163, -161, -160, -160, -161, -160, -158, -156, -155, 
## -156, -154, -157, -157, -159, -159, -159, -156, -157, -157, -156, 
## -158, -159, -159, -160, -160, -159, -158, -158, -160, -162, -156, 
## -159, -158, -159, -158, -159, -157, -158, -157, -158, -158, -159, 
## -158, -158, -157, -155, -157, -155, -153, -156, -156, -158, -157, 
## -159, -158, -155, -156, -155, -155, -156, -157, -158, -158, -157, 
## -158, -154, -159, -158, -160, -160, -159, -158, -160, -160, -159, 
## -160, -160, -160, -160, -160, -161, -159, -161, -159, -162, -161, 
## -159, -161, -160, -159, -160, -160, -162, -161, -159, -161, -162, 
## -161, -161, -160, -160, -160, -165, -163, -164, -167, -164, -166, 
## -163, -160, -160, -163, -154, -154, -157, -157, -156, -163, -162, 
## -160, -165, -163, -161, -160, -162, -159, -161, -161, -163, -163, 
## -160, -164, -165, -162, -163, -160, -160, -161, -157, -161, -161, 
## -160, -162, -162, -160, -161, -164, -162, -166, -164, -166, -163, 
## -166, -164, -166, -165, -163, -163, -164, -165, -166, -163, -161, 
## -169, -166, -162, -161, -163, -165, -164, -160, -161, -160, -160, 
## -158, -158, -159, -158, -161, -159, -160, -161, -159, -159, -163, 
## -161, -159, -160, -161, -159, -160, -160, -161, -159, -160, -161, 
## -158, -159, -160, -160, -160, -160, -157, -160, -158, -157, -158, 
## -160, -162, -161, -161, -162, -160, -161, -159, -163, -161, -160, 
## -159, -159, -161, -162, -161, -162, -161, -160, -160, -160, -161, 
## -160, -161, -163, -162, -163, -163, -160, -161, -161, -159, -158, 
## -160, -161, -161, -161, -159, -160, -159, -160, -160, -160, -158, 
## -161, -159, -162, -161, -160, -160, -161, -161, -161, -161, -164, 
## -167, -165, -165, -163, -166, -165, -164, -163, -163, -165, -164, 
## -163, -160, -159, -161, -159, -160, -159, -161, -160, -161, -160, 
## -161, -161, -161, -162, -160, -159, -158, -160, -162, -160, -161, 
## -163, -162, -163, -161, -162, -160, -160, -160, -161, -161, -160, 
## -160, -161, -160, -160, -160, -161, -161, -163, -162, -157, -160, 
## -158, -157, -157, -159, -158, -161, -161, -155, -157, -159, -158, 
## -160, -155, -157, 39, 39, 43, 45, 45, 43, 48, 49, 42, 44, 40, 
## 41, 35, 38, 32, 39, 36, 36, 36, 38, 39, 41, 41, 36, 40, 42, 39, 
## 43, 39, 38, 39, 39, 40, 40, 40, 39, 40, 44, 40, 40, 41, 47, 47, 
## 46, 41, 38, 39, 38, 40, 42, 40, 38, 23, 38, 45, 51, 93, 95, 97, 
## 95, 93, 43, 28, -28, -44, -45, -46, -50, -44, -43, -40, -28, 
## -21, -20, -22, -22, -24, -32, -16, 6, 65, 83, 90, 96, 100, 103, 
## 103, 104, 101, 100, 100, 95, 82, 53, 46, 30, 28, 17, -18, -38, 
## -40, -37, -30, -25, -15, -14, -11, -11, -13, 5, 14, 20, 33, 52, 
## 88, 94, 94, 92, 84, 62, 51, -1, -25, -11, -41, -42, -45, -45, 
## -172, -173, -169, -172, -171, -170, -172, -166, -170, -163, -161, 
## -161, -163, -162, -174, -163, -163, -168, -172, -174, -177, -177, 
## -175, -177, -175, -177, -176, -172, -174, -171, -170, -165, -168, 
## -169, -168, -168, -167, -164, -165, -163, -167, -168, -171, -167, 
## -168, -171, -168, -169, -167, -159, 29, 27, 24, 23, 23, 20, 19, 
## 22, 24, 22, 20, 18, 21, 24, 26, 24, 24, 24, 23, 19, 21, 20, 18, 
## 17, 22, 20, 18, 22, 22, 21, 21, 18, 7, 0, -8, 12, 14, 30, 65, 
## 77, 34, 34, 41, 39, 37, 43, 45, 49, 59, 53, 54, 54, 51, 52, 50, 
## 49, 48, 49, -177, -177, -175, -172, -169, -159, -160, -155, -150, 
## -143, -143, -145, -144, -141, -147, -148, -146, -152, -150, -159, 
## -157, -153, -180, -210, -217, -229, -238, -235, -233, -242, -239, 
## -236, -236, -235, -231, -220, -199, -193, -188, -184, -177, -184, 
## -184, -177, -168, -159, -156, -136, -152, -148, -139, -145, -141, 
## -145, -145, -155, -159, -159, -158, -155, -155, -183, -181, -191, 
## -189, -195, -200, -196, -187, -170, -164, -161, -164, -167, -159, 
## -158, -159, -156, -156, -160, -162, -162, -172, -175, -189, -205, 
## -172, -147, -122, -174, -170, -168, -173, -175, -179, -154, -143, 
## -141, -135, -138, -137, 2, 1, 2, -6, -4, 2, -12, -14, -7, -3, 
## -13, -8, 2, -9, 3, 10, -1, 21, 21, 23, 24, 37, 40, 46, 48, 72, 
## 53, 56, 54, 49, 47, 37, 30, 28, 20, 20, -18, -20, -17, -9, -10, 
## -12, -16, -18, -14, -18, -13, -20, -22, -19, -14, -11, 4, 1, 
## 10, 12, 19, 24, 29, 41, 34, 43, 45, 41, 42, 34, 32, 17, 15, -6, 
## -5, -11, -5, 0, -7, -7, -2, -5, -8, -8, -6, -3, 2, -7, 8, 9, 
## 11, 17, 20, 21, 23, 28, 28, 41, 34, 44, 44, -9, -8, 7, 19, 26, 
## 41, 40, 36, 11, -9, -19, -16, -22, -16, -11, -15, -14, -2, 0, 
## -8, -7, -3, -1, 2, 2, 8, 10, 21, 15, 21, 44, 47, 42, 16, 16, 
## 11, 2, -7, -18, -13, -4, -5, -8, -7, -6, -4, -4, -2, 37, 35, 
## 31, 20, 5, 0, -13, -16, -21, -22, -6, -19, -18, -21, -21, -22, 
## -19, -8, 2, 11, 12, 14, 6, 20, 52, 66, 72, 68, 61, 32, 23, 18, 
## 14, -37, -31, -33, -20, -18, -16, -11, -8, 2, 6, -5, 2, 12, 35, 
## 38, 37, 43, 49, 49, 49, 39, 30, 27, 25, 17, 15, -10, -15, -28, 
## -31, -32, -28, -14, -35, -39, -36, -35, -28, -27, -28, -20, -11, 
## -4, -5, 16, 14, 12, 15, 28, 28, 35, 25, 36, 36, 34, 32, 34, 31, 
## 31, 34, 32, 30, 30, 34, 33, 33, 32, 35, 31, 32, 31, 31, 31, 32, 
## 31, 34, 30, 30, 31, 28, 28, 27, 30, 29, 27, 26, 24, 24, 25, 22, 
## 22, 21, 22, 21, 20, 19, 21, 22, 21, 23, 24, 26, 28, -160, -161, 
## -177, -169, -195, -217, -222, -226, -225, -222, -215, -217, -225, 
## -214, -209, -202, -185, -166, -164, -156, -168, -169, -165, -163, 
## -167, -172, -194, -196, -217, -217, -223, -221, -203, -193, -196, 
## -208, -209, -209, -210, -220, -215, -212, -183, -197, -193, -172, 
## -164, -165, -169, -171, -164, -168, -167, -175, -188, -187, -189, 
## -195, -217, -212, -218, -210, -210, -223, -228, -224, -206, -197, 
## -178, -184, -191, -188, -162, -159, -166, -157, -157, -160, -156, 
## -159, -161, -162, -171, -188, -194, -202, -208, -206, -211, -218, 
## -222, -246, -245, -249, -253, -251, -248, -243, -246, -242, -244, 
## -244, -240, -233, -193, -183, -176, -170, -160, -156, -171, -157, 
## -153, -150, -144, -149, -154, -152, -154, -158, -157, -161, -182, 
## -179, -197, -238, -243, -243, -249, -247, -260, -256, -250, -243, 
## -235, -211, -206, -205, -194, -189, -182, -177, -175, -168, -163, 
## -162, -156, -154, -160, -160, -172, -180, -180, -186, -198, -203, 
## -210, -218, -221, -223, -223, -230, -233, -228, -229, -234, -239, 
## -236, -233, -230, -231, -225, -222, -213, -206, -204, -199, -194, 
## -193, -189, -188, -185, -175, -172, -169, -167, -164, -164, -170, 
## -172, -176, -172, -172, -173, -176, -190, -189, -186, -189, -193, 
## -215, -213, -227, -226, -224, -251, -255, -239, -244, -241, -239, 
## -230, -227, -222, -220, -221, -208, -201, -194, -190, -182, -172, 
## -166, -151, -139, -142, -131, -145, -150, -154, -158, -161, -179, 
## -190, -213, -217, -244, -244, -242, -244, -243, -239, -228, -226, 
## -222, -218, -197, -197, -181, -182, -166, -160, -151, -155, -157, 
## -160, -163, -167, -171, -191, -196, -213, -220, -220, -244, -247, 
## -243, -245, -259, -254, -242, -235, -243, -242, -243, -239, -225, 
## -222, -202, -193, -186, -173, -170, -150, -143, -137, -137, -150, 
## -150, -145, -149, -186, -192, -199, -201, -198, -213, -221, -210, 
## -208, -235, -251, -247, -251, -247, -243, -247, -245, -242, -230, 
## -221, -221, -199, -197, -193, -190, -180, -161, -156, -155, -157, 
## -136, -139, -140, -143, -140, -145, -152, -152, -157, -159, -164, 
## -167, -170, -174, -178, -179, -180, -185, -189, -257, -253, -252, 
## -251, -245, -244, -228, -212, -200, -186, -182, -176, -162, -156, 
## -156, -158, -150, -151, -151, -153, -152, -164, -167, -168, -169, 
## -173, -181, -213, -223, -232, -242, -243, -246, -243, -246, -249, 
## -252, -251, -253, -253, -252, -253, -247, -243, -246, -245, -242, 
## -229, -217, -211, -205, -190, -187, -189, -183, -175, -167, -165, 
## -157, -161, -164, -162, -163, -170, -173, -179, -181, -192, -220, 
## -220, -222, -224, -244, -248, -247, -248, -248, -248, -257, -262, 
## -261, -265, -251, -247, -244, -233, -209, -182, -179, -180, -166, 
## -169, -162, -145, -146, -150, -148, -144, -146, -150, -154, -158, 
## -156, -154, -157, -155, -160, -161, -161, -164, -171, -172, -177, 
## -180, -181, -183, -174, -166, -160, -159, -162, -164, -165, -160, 
## -161, -161, -174, -171, -169, -165, -162, -161, -164, -165, -164, 
## -163, -161, -152, -148, -160, -161, -165, -166, -160, -160, -163, 
## -163, 28, 29, 26, 26, 28, 29, 25, 23, 24, 24, 23, 24, 25, 27, 
## 25, 25, 27, 24, 27, 26, 28, 29, 29, 29, 29, 29, 31, 30, 28, 28, 
## 30, 28, 28, 26, 28, 29, 28, 30, 29, 26, 26, 28, 28, 27, 30, 27, 
## 23, 27, 26, 24, 30, 28, 28, 28, 25, 21, 26, 24, 26, 29, 31, 32, 
## 30, 26, 28, 27, 27, 25, 27, 27, 28, 28, 28, 29, 30, 31, 32, 34, 
## 26, 24, 18, 20, 23, 23, 24, 24, 26, 28, 32, 27, 27, 27, 23, 27, 
## 30, 33, 33, 31, 32, 31, 30, 26, 26, 24, 22, 21, 21, 27, 26, 26, 
## 25, 27, 28, 25, 24, 28, 25, 24, 31, 31, 34, 28, 29, 29, 27, 27, 
## 29, 23, 25, 25, 26, 26, 25, 29, 28, 28, 26, 27, 28, 29, 28, 25, 
## 25, 29, 28, 29, 28, 32, 33, 32, 31, 33, 31, 30, 29, 30, 27, 27, 
## 22, 27, 28, 26, 26, 26, 23, 22, 25, 25, 27, 27, 27, 25, 30, 30, 
## 30, 28, 28, 28, 28, 30, 30, 27, 31, 31, 32, 33, 35, 33, 29, 32, 
## 32, 30, 31, 28, 29, 26, 23, 24, 28, 25, 25, 26, 28, 30, 30, 30, 
## 30, 32, 32, 31, 30, 32, 30, 30, 31, 29, 30, 30, 29, 30, 29, 30, 
## 30, 30, 30, 29, 29, 28, 27, 26, 29, 27, 28, 28, 28, 29, 28, 29, 
## 29, 29, 28, 29, 28, -9, -15, -5, -2, -8, -28, 49, 0, 105, 57, 
## 40, 30, 14, 46, 45, 45, 45, 45, 42, 42, 45, 45, 42, 43, 41, 43, 
## 46, 41, 45, 44, 42, 43, 45, 44, 43, 40, 30, 33, 21, 21, 4, 10, 
## 14, 25, 31, 18, 24, 12, 19, 21, 20, 24, 72, 25, 43, 65, 41, 31, 
## 32, 29, -2, -7, 22, 8, -8, -9, 11, 2, -2, 16, 15, 17, 18, 17, 
## 49, 36, 43, 61, 54, 39, 29, 21, -2, -21, -23, 16, 5, 4, 16, 19, 
## 2, 8, 25, 23, 20, 32, 38, 45, 13, 39, 53, 44, 44, 36, 26, 25, 
## 27, 26, 19, 4, 1, -16, 9, 1, 9, -7, 1, 8, 12, 21, 16, 20, 36, 
## 31, 18, 44, 41, 24, 7, 3, 8, 3, 3, -10, -9, -2, -1, -7, 12, 7, 
## 22, 23, 41, 34, 28, 56, 47, 48, 36, 31, 19, 16, 13, 16, -2, -8, 
## -9, -8, 11, 0, -2, -7, -7, -2, 4, 3, 7, 19, 23, 25, 24, 47, 29, 
## 51, 37, 39, 3, 2, 7, -18, 3, 15, 6, 8, 10, 13, 20, 19, 19, 18, 
## 39, 46, 37, 34, 23, 39, 32, 31, 29, 24, 21, 16, 13, 8, 20, 20, 
## 26, 25, 19, 22, 25, 31, 26, 23, 28, 24, 18, 36, 37, 40, 38, 37, 
## 23, 26, 26, 44, 43, 44, 43, 41, 40, 56, 43, 43, 49, 47, 46, 47, 
## 50, 48, 48, 46, 47, 47, 46, 45, 45, 46, 45, 46, 45, 42, 44, 43, 
## 43, 44, 47, 45, 48, 45, -157, -156, -157, -159, -160, -163, -173, 
## -167, -184, -187, -193, -198, -204, -210, -245, -250, -239, -232, 
## -230, -240, -238, -233, -236, -237, -229, -221, -222, -219, -198, 
## -195, -184, -172, -167, -164, -158, -158, -156, -155, -157, -151, 
## -148, -142, -142, -141, -131, -143, -145, -158, -157, -159, -167, 
## -189, -204, -210, -225, -224, -221, -222, -225, -236, -236, -241, 
## -239, -245, -243, -242, -246, -228, -225, -223, -220, -211, -184, 
## -181, -176, -172, -165, -162, -159, -157, -161, -160, -160, -174, 
## -176, -176, -192, -196, -215, -224, -232, -233, -235, -228, -239, 
## -230, -229, -225, -208, -199, -194, -191, -182, -185, -184, -184, 
## -175, -172, -171, -167, -166, -164, -162, -162, -161, -158, -159, 
## -166, -165, -153, -153, -158, -161, -173, -187, -193, -189, -197, 
## -212, -212, -215, -223, -220, -226, -234, -237, -248, -249, -248, 
## -248, -233, -224, -210, -208, -182, -177, -173, -165, -187, -198, 
## -203, -210, -221, -229, -229, -221, -226, -230, -231, -233, -227, 
## -221, -221, -217, -184, -182, -161, -154, -146, -151, -149, -158, 
## -158, -177, -192, -200, -184, -189, -188, -190, -190, -214, -226, 
## -227, -229, -227, -227, -223, -217, -221, -220, -217, -221, -222, 
## -216, -212, -210, -208, -159, -168, -176, -170, -188, -203, -199, 
## -214, -209, -218, -218, -222, -225, -223, -223, -222, -234, -238, 
## -242, -240, -230, -224, -217, -209, -207, -199, -197, -182, -176, 
## -174, -163, -159, -155, -155, -153, -156, -161, -160, -161, -168, 
## -167, -159, -175, -176, -208, -207, -219, -221, -240, -237, -240, 
## -239, -231, -236, -237, -236, -230, -224, -228, -222, -224, -206, 
## -199, -147, -160, -173, -177, -188, -225, -224, -224, -194, -179, 
## -179, -174, -171, -166, -162, -158, -150, -154, -153, -176, -176, 
## -174, -169, -164, -161, -156, -149, -149, -152, -156, -160, -159, 
## -154, -156, -163, -169, -167, -164, -164, -162, -167, -165, -158, 
## -152, -149, -150, -170, -187, -227, -181, -206, -187, -176, -174, 
## -180, -175, -178, -180, -188, -196, -215, -219, -222, -222, -229, 
## -194, -201, -207, -215, -223, -224, -221, -209, -213, -228, -233, 
## -226, -227, -224, -219, -219, -215, -209, -217, -190, -171, -191, 
## -185, -180, -170, -175, -176, -184, -189, -199, -218, -216, -202, 
## -213, -222, -221, -210, -228, -241, -229, -221, -224, -211, -168, 
## -191, -176, -172, -170, -186, -180, -161, -174, -174, -181, -190, 
## -202, -227, -224, -233, -186, -184, -187, -202, -206, -202, -205, 
## -229, -232, -235, -229, -214, -220, -225, -179, -169, -179, -188, 
## -194, -190, -195, -212, -206, -217, -219, -215, -212, -214, -211, 
## -217, -228, -228, -232, -234, -235, -226, -221, -211, -206, -209, 
## -227, -180, -210, -178, -181, -172, -204, -204, -214, -207, -201, 
## -202, -194, -198, -204, -200, -193, -181, -179, -202, -192, -187, 
## -190, -194, -195, -197, -193, -192, -194, -195, -197, -202, -200, 
## 45, 48, 46, 44, 44, 44, 45, 46, 43, 46, 44, 42, 43, 44, 47, 43, 
## 45, 45, 42, 45, 44, 49, 47, 44, 42, 41, 42, 46, 47, -193, -194, 
## -196, -203, -233, -254, -254, -256, -266, -268, -266, -265, -264, 
## -264, -260, -256, -256, 45, 47, 48, 51, 47, 45, 48, 43, 44, 44, 
## 48, 46, 46, 48, 49, 45, 45, 33, 34, 31, 19, 19, 20, 10, 21, 14, 
## 20, 20, 20, 21, 18, 29, 28, 14, 5, -1, 6, -1, 25, 29, 30, 25, 
## 26, 30, 34, 14, 20, 16, 16, 19, 40, 46, 44, 42, 48, 49, 47, 45, 
## 46, 46, 43, 40, 43, 43, 29, 29, 29, 28, 27, 27, 29, 38, 26, 11, 
## 5, 4, 20, 27, 29, 28, 27, 30, 32, 31, 33, 32, 32, 28, 31, 29, 
## 30, 29, 31, 28, 28, 22, 22, 21, 26, 25, 25, 26, 24, 27, 29, 23, 
## 24, -183, -180, -185, -196, -202, -200, -203, -207, -203, -204, 
## -203, -206, -204, -201, -201, -199, -204, -197, -200, -243, -230, 
## -222, -217, -224, -221, -215, -227, -218, -197, -191, -179, -175, 
## -174, -226, -224, -222, -217, -227, -205, -207, -214, -221, -184, 
## -174, -166, -166, -152, -161, -167, -221, -219, -222, -223, -199, 
## -216, -187, -181, -173, -180, -180, -172, -164, -188, -193, -206, 
## -207, -203, -226, -218, -220, -214, -214, -224, -223, -11, -15, 
## -28, -18, -19, -21, -21, -16, 0, 5, 5, 8, 22, 15, 30, 24, 41, 
## 40, 40, 41, 37, 24, 7, 5, -2, -12, -12, -6, -2, 0, 2, 13, 15, 
## 5, 5, 13, 17, 21, 34, 34, 34, 40, 38, 35, 27, 27, 27, 24, 19, 
## 12, -9, -7, 0, -2, -2, -6, -20, -14, -10, -10, -7, -6, -7, -5, 
## -186, -179, -144, -158, -155, -151, -146, -233, -230, -229, -228, 
## -218, -209, -195, -193, -179, -172, -171), magnet_belt_x = c(-2, 
## -6, 0, -3, -5, -2, -3, -6, 1, -3, -1, -10, -4, -8, -10, 3, 2, 
## -4, 4, -6, 1, 0, -2, 1, 1, -4, -8, -3, 2, 1, -2, -3, -4, 2, -4, 
## -2, -6, -7, -6, -3, -3, -6, 1, -9, -1, -8, 6, -7, -5, -6, 0, 
## -11, 2, -3, 3, -5, -12, -3, -4, -7, -4, -1, -5, -2, -8, -6, -3, 
## -2, -1, -5, -3, -7, 1, -2, -8, -6, -8, -9, -9, 0, -7, -5, -5, 
## 0, 0, 2, 2, 5, -6, 0, -5, -4, -2, -4, -4, -2, -1, -8, -7, -4, 
## -2, 13, 9, 8, 13, 3, 4, 4, -2, 10, 7, -1, 1, -2, 5, 7, 6, 9, 
## 0, -3, 6, 7, 6, 5, 4, 2, 5, 6, 7, 6, 3, 2, 2, 4, -2, 1, 3, 7, 
## 0, 7, 9, 3, 0, 10, 5, 7, 10, 9, 5, -5, 5, 4, -3, 2, -1, 2, 3, 
## 8, 4, 4, -3, 0, -2, 8, -1, -4, -2, -3, 2, -6, -5, -4, -6, -7, 
## 1, -7, -3, -1, 0, 7, 7, 7, 5, 10, 1, 1, -5, 0, 0, -8, -6, -2, 
## 0, 1, -1, -1, 7, 1, 1, 2, 3, 4, 0, 6, 3, 0, 1, 2, 4, 5, 2, 2, 
## 3, 6, 5, 6, 2, 9, 11, 9, 10, 9, 6, 5, 5, 8, -1, 4, 0, 1, 3, 7, 
## 2, 2, 7, 8, 9, 6, 11, 6, 9, 4, 0, 3, 6, 6, 1, 6, 7, 6, 6, 0, 
## 9, 16, 6, 2, 0, -3, 6, 2, 2, 3, 7, 5, 7, 8, 0, 1, 6, 6, 2, 5, 
## 8, 8, 10, 15, 2, -4, -2, -3, -4, 2, 6, 6, 5, 6, 2, 3, -1, 4, 
## 0, 3, 4, 4, 3, -4, 8, 6, -1, 0, -3, 9, 4, 7, 6, 2, 9, 3, -1, 
## -7, 1, 2, -5, -2, -4, -3, 7, 0, 8, -6, 1, 1, 1, 6, 7, 12, 14, 
## 12, 4, 9, 7, 8, 6, 6, 11, 2, 6, 4, 4, 10, 3, 8, 1, 6, 6, 6, 6, 
## 2, -5, 5, 1, 8, 6, 10, 9, 6, 9, 8, 8, 7, 8, 9, 13, 8, 3, 10, 
## 6, -1, 0, 1, 0, 1, 4, 8, 0, 1, 2, 3, 0, 2, 4, 7, 1, 4, 6, 0, 
## 3, 1, -2, -1, 0, -1, -1, 11, 7, 11, 10, 3, 1, -2, 0, 4, 9, 6, 
## 5, -1, 1, 6, 5, 5, 7, -3, 1, 4, -1, 1, 1, 221, 220, 221, 222, 
## 220, 216, 221, 216, 216, 212, 214, 210, 204, 205, 197, 200, 198, 
## 208, 198, 199, 198, 202, 201, 204, 204, 197, 200, 205, 197, 195, 
## 190, 188, 193, 187, 185, 188, 184, 184, 178, 182, 182, 182, 186, 
## 185, 182, 180, 182, 177, 178, 180, 179, 179, 182, 174, 185, 183, 
## 178, 189, 182, 181, 182, 180, 189, 181, 179, 176, 182, 180, 181, 
## 177, 185, 182, 187, 182, 176, 179, 188, 182, 180, 191, 183, 183, 
## 190, 182, 182, 183, 179, 182, 184, 181, 183, 183, 185, 179, 179, 
## 187, 184, 177, 184, 179, 181, 178, 178, 182, 186, 177, 174, 173, 
## 172, 172, 179, 180, 181, 175, 180, 178, 169, 175, 173, 175, 169, 
## 169, 167, 163, 167, 164, 167, 162, 172, 167, 169, 173, 175, 172, 
## 30, 29, 24, 22, 22, 20, 16, 19, 19, 25, 19, 26, 19, 168, 170, 
## 171, 175, 167, 171, 169, 169, 188, 196, 194, 189, 189, 189, 183, 
## 175, 179, 180, 185, 184, 188, 183, 181, 186, 201, 207, 213, 205, 
## 209, 210, 208, 220, 220, 217, 178, 191, 186, 182, 185, 188, 188, 
## 180, 175, 179, 175, 172, 168, 170, 175, 174, 176, 174, 168, 172, 
## 177, 183, 190, 186, 182, 183, 189, 191, 197, 201, 201, 200, 193, 
## 199, 198, 197, 185, 184, 189, 184, 171, 171, 173, 175, 168, 163, 
## 162, 171, 173, 173, 181, 167, 167, 165, 168, 160, 158, 158, 166, 
## 162, 158, 159, 162, 163, 162, 161, 169, 166, 169, 164, 172, 163, 
## 166, 168, 164, 166, 172, 166, 164, 168, 166, 163, 172, 165, 163, 
## 166, 173, 165, 161, 160, 158, 162, 170, 161, 162, 159, 167, 164, 
## 163, 167, 169, 166, 164, 162, 163, 161, 171, 161, 170, 162, 167, 
## 170, 168, 169, 165, 170, 164, 165, 163, 169, 159, 165, 163, 161, 
## 161, 161, 167, 161, 163, 161, 164, 161, 164, 161, 159, 157, 161, 
## 158, 161, 164, 162, 163, 164, 167, 162, 160, 165, 166, 165, 169, 
## 167, 167, 171, 169, 168, 167, 161, 166, 168, 166, 163, 167, 162, 
## 165, 165, 164, 162, 165, 161, 167, 163, 169, 166, 164, 161, 163, 
## 162, 166, 165, 160, 170, 161, 173, 168, 163, 160, 164, 165, 165, 
## 161, 165, 169, 164, 163, 167, 173, 160, 166, 168, 171, 164, 167, 
## 161, 162, 164, 165, 164, 163, 172, 171, 170, 170, 170, 168, 172, 
## 166, 166, 163, 174, 160, 165, 165, 167, 167, 165, 167, 160, 165, 
## 162, 170, 166, 161, 162, 164, 166, 160, 167, 163, 158, 165, 163, 
## 161, 164, 167, 162, 165, 166, 173, 163, 165, 167, 162, 171, 166, 
## 162, 171, 172, 166, 166, 165, 161, 165, 164, 166, 172, 165, 170, 
## 171, 168, 170, 164, 167, 164, 167, 169, 166, 164, 164, 163, 168, 
## 167, 167, 171, 167, 176, 163, 168, 164, 164, 173, 168, 168, 169, 
## 165, 166, 165, 172, 166, 169, 166, 168, 168, 162, 169, 170, 169, 
## 165, 170, 169, 166, 166, 170, 165, 166, 170, 175, 169, 173, 165, 
## 170, 171, 167, 169, 170, 172, 170, 171, 167, 176, 168, 165, 161, 
## 161, 173, 166, 171, 167, 169, 169, 161, 169, 167, 166, 171, 169, 
## 169, 169, 166, 171, 168, 172, 172, 169, 169, 166, 165, 166, 165, 
## 162, 168, 161, 170, 164, 166, 165, 161, 165, 167, 167, 168, 67, 
## 62, 54, 54, 55, 53, 60, 64, 63, 56, 65, 65, 55, 57, 57, 64, 57, 
## 56, 63, 57, 55, 56, 52, 58, 56, 56, 61, 63, 60, 66, 61, 58, 66, 
## 66, 55, 59, 63, 57, 50, 56, 56, 53, 49, 46, 55, 54, 47, 50, 51, 
## 54, 53, 53, 56, 57, 56, 57, 49, 57, 51, 52, 59, 60, 52, 55, 56, 
## 59, 63, 58, 57, 58, 56, 59, 60, 62, 53, 56, 57, 62, 60, 51, 56, 
## 56, 53, 50, 49, 44, 54, 40, 45, 52, 49, 48, 51, 46, 53, 51, 52, 
## 54, 54, 57, 54, 48, 53, 53, 51, 53, 59, 60, 61, 61, 64, 63, 60, 
## 56, 64, 53, 56, 57, 55, 59, 53, 54, 58, 56, 54, 61, 57, 62, 56, 
## 63, 57, 55, 58, 55, 57, 62, 56, 53, 57, 55, 54, 51, 54, 54, 45, 
## 53, 56, 48, 48, 55, 55, 52, 56, 60, 57, 58, 52, 55, 53, 52, 48, 
## 57, 50, 59, 58, 64, 57, 62, 59, 66, 66, 59, 53, 60, 45, 50, 56, 
## 51, 51, 50, 59, 57, 60, 62, 63, 57, 54, 54, 48, 45, 52, 49, 50, 
## 54, 56, 56, 56, 56, 56, 58, 47, 44, 42, 50, 52, 52, 60, 55, 53, 
## 49, 53, 54, 51, 48, 50, 51, 50, 51, 47, 48, 45, 44, 46, 56, 54, 
## 53, 60, 51, 50, 55, 42, 48, 48, 39, 41, 45, 41, 37, 41, 41, 43, 
## 38, 41, 40, 40, 41, 40, 43, 44, 42, 39, 43, 43, 40, 42, 36, 35, 
## 43, 40, 43, 39, 37, 37, 33, 30, 35, 41, 44, 49, 46, 45, 45, 43, 
## 46, 42, 42, 40, 44, 36, 43, 43, 32, 46, 31, 39, 31, 34, 35, 37, 
## 35, 36, 35, 35, 40, 37, 35, 34, 34, 35, 32, 34, 33, 37, 37, 39, 
## 43, 43, 32, 39, 39, 40, 36, 36, 34, 33, 43, 38, 34, 32, 31, 38, 
## 35, 35, 36, 41, 37, 37, 37, 32, 33, 34, 36, 29, 31, 22, 17, 14, 
## 28, 22, 26, 29, 36, 39, 41, 39, 39, 31, 38, 39, 40, 42, 43, 48, 
## 47, 44, 49, 44, 46, 42, 40, 44, 40, 40, 40, 33, 37, 26, 23, 19, 
## 21, 18, 20, 26, 47, 54, 50, 54, 58, 48, 50, 48, 59, 54, 59, 55, 
## 52, 51, 55, 55, 57, 49, 51, 52, 49, 54, 48, 48, 49, 52, 46, 46, 
## 51, 48, 55, 52, 49, 50, 50, 48, 49, 47, 49, 45, 52, 53, 47, 43, 
## 53, 58, 49, 46, 48, 52, 55, 46, 56, 48, 43, 46, 46, 49, 52, 48, 
## 50, 48, 46, 46, 47, 48, 46, 51, 41, 51, 48, 61, 52, 49, 57, 52, 
## 52, 48, 43, 48, 41, 47, 40, 49, 43, 45, 45, 44, 46, 41, 46, 49, 
## 45, 48, 50, 49, 45, 47, 46, 47, 52, 51, 50, 49, 53, 53, 52, 42, 
## 51, 48, 49, 49, 48, 44, 52, 52, 51, 46, 42, 53, 53, 51, 54, 57, 
## 55, 57, 51, 48, 56, 58, 53, 50, 48, 50, 51, 54, 59, 47, 46, 51, 
## 48, 50, 49, 51, 52, 48, 52, 54, 52, 45, 46, 48, 56, 50, 51, 49, 
## 56, 47, 51, 55, 49, 52, 46, 53, 50, 45, 46, 55, 49, 48, 47, 49, 
## 49, 55, 47, 47, 48, 49, 56, 48, 46, 49, 51, 45, 55, 52, 55, 49, 
## 52, 43, 44, 54, 48, 58, 51, 46, 54, 47, 52, 50, 51, 55, 51, 46, 
## 48, 47, 49, 50, 48, 48, 50, 50, -5, -1, 0, -9, -2, -1, 0, 2, 
## 3, 0, -7, -3, -2, -3, -7, -10, -3, -5, -4, -6, -8, -11, -3, -6, 
## -6, -9, -8, -7, -6, -6, 1, -2, -5, -2, 1, -2, -4, -5, -1, -8, 
## 1, -4, -11, -4, -3, 1, -1, -4, -2, -9, -2, -6, -2, -2, -6, -6, 
## -3, -1, -7, 2, -3, -6, -2, -4, -7, -1, -7, -8, -6, -10, -7, 1, 
## -6, -4, -4, -1, -2, 1, -2, 4, -1, -4, -6, -6, -1, -2, 2, -3, 
## 5, 0, -9, 0, 1, 1, 2, 0, 0, -2, -8, 3, -3, 1, -4, 4, -5, -2, 
## 3, -6, -8, -5, -9, 0, -6, -10, -11, -11, -6, -3, -10, -6, 1, 
## 0, -1, 5, 0, 0, 0, 1, 1, 4, 5, 5, 1, 0, 6, 0, 8, 3, 4, 3, 8, 
## 0, 1, 9, 5, 7, 4, -8, -8, -7, -2, -10, -6, -7, -4, -11, -13, 
## 1, 1, 3, 2, -4, 2, 6, -5, -2, -5, 0, -3, -4, -4, -12, -9, -7, 
## -2, -11, -2, 0, 1, 1, 2, 4, 1, -2, -6, -1, -3, -1, -1, -7, 4, 
## 2, -4, 4, 5, 1, -3, -3, 1, 3, -4, 2, 3, -3, -3, -6, -5, -6, -2, 
## -1, -8, -2, 3, -9, -7, -5, 0, -6, -6, -8, 2, -2, -8, 3, -2, -5, 
## 1, -1, -2, -4, -2, -2, 3, 4, 3, 2, 3, 7, 13, 5, 1, -1, -1, 7, 
## 7, -3, 3, 1, 2, -1, 0, 2, -2, 1, -3, -3, -2, -4, 8, 1, 5, 2, 
## 2, 2, 6, 13, -5, 0, 0, 6, 7, 6, 2, 3, 8, 4, 8, 8, 3, 1, 4, 5, 
## 12, 7, 4, 7, 8, 2, 7, 6, 11, 7, 6, 8, 9, 10, 13, 11, 12, 8, -1, 
## 7, 6, 7, 4, 3, 8, 3, 4, 8, 2, 15, 11, 7, 4, 5, 9, 10, 11, 1, 
## 9, 6, 4, 12, 8, 15, 8, 6, 4, 9, 6, 10, 10, 1, 2, 3, 3, 7, 8, 
## 6, 3, 2, 5, 0, 6, 3, 8, 8, 4, 4, 6, 6, 6, 7, 14, 8, 8, 3, 9, 
## 8, 5, 5, 13, 10, 12, 12, 9, 8, 11, 9, 10, 9, 9, 12, 12, 50, 49, 
## 48, 55, 48, 50, 49, 46, 50, 53, 46, 51, 43, 46, 50, 48, 50, 50, 
## 51, 45, 50, 53, 48, 44, 49, 45, 53, 48, 47, 43, 51, 47, 43, 54, 
## 48, 52, 47, 48, 54, 49, 49, 54, 47, 45, 48, 45, 45, 46, 50, 50, 
## 49, 48, 48, 42, 50, 47, 41, 38, 45, 39, 40, 44, 45, 45, 40, 42, 
## 45, 40, 50, 48, 52, 47, 56, 54, 49, 46, 50, 47, 47, 43, 47, 46, 
## 46, 46, 48, 48, 46, 54, 48, 44, 51, 44, 47, 54, 51, 51, 55, 55, 
## 52, 49, 54, 50, 50, 47, 52, 50, 55, 50, 54, 56, 49, 52, 51, 52, 
## 51, 56, 53, 49, 48, 45, 47, 49, 56, 45, 44, 48, 40, 50, 46, 49, 
## 57, 51, 50, 50, 53, 38, 52, 50, 55, 62, 57, 58, 59, 59, 58, 55, 
## 48, 48, 52, 50, 51, 51, 52, 41, 41, 40, 39, 46, 48, 48, 50, 49, 
## 55, 55, 54, 57, 49, 50, 49, 50, 50, 51, 54, 47, 48, 50, 50, 53, 
## 49, 54, 49, 51, 46, 45, 49, 49, 44, 41, 43, 43, 44, 41, 39, 46, 
## 49, 50, 56, 46, 46, 45, 52, 48, 51, 44, 50, 41, 48, 46, 50, 46, 
## 44, 45, 48, 48, 49, 55, 47, 42, 42, 39, 41, 39, 33, 34, 35, 25, 
## 30, 28, 37, 44, 43, 48, 47, 48, 53, 50, 46, 48, 49, 40, 47, 54, 
## 48, 48, 48, 53, 51, 49, 53, 54, 54, 55, 47, 44, 40, 45, 38, 40, 
## 41, 40, 49, 50, 57, 54, 55, 62, 59, 60, 53, 53, 42, 42, 42, 47, 
## 50, 48, 47, 53, 55, 48, 41, 45, 47, 43, 46, 39, 43, 48, 42, 43, 
## 52, 46, 47, 46, 41, 47, 48, 43, 43, 46, 51, 53, 45, 46, 44, 45, 
## 47, 42, 41, 43, 43, 39, 30, 32, 32, 35, 33, 40, 40, 44, 44, 41, 
## 43, 39, 43, 48, 46, 41, 39, 37, 33, 35, 21, 18, 20, 24, 17, 24, 
## 23, 28, 28, 26, 29, 35, 34, 42, 42, 44, 49, 52, 51, 47, 33, 31, 
## 36, 37, 40, 42, 36, 40, 39, 40, 34, 34, 31, 30, 26, 27, 30, 32, 
## 29, 31, 27, 25, 30, 34, 29, 37, 39, 41, 42, 41, 42, 35, 33, 40, 
## 44, 49, 41, 50, 40, 39, 31, 34, 32, 39, 33, 31, 30, 31, 29, 33, 
## 30, 32, 40, 38, 41, 51, 54, 45, 38, 39, 36, 29, 37, 42, 36, 43, 
## 39, 47, 48, 44, 40, 42, 43, 41, 44, 48, 42, 48, 49, 44, 39, 39, 
## 48, 37, 37, 49, 48, 50, 50, 44, 44, 40, 43, 40, 45, 44, 39, 43, 
## 40, 43, 43, 46, 48, 46, 40, 47, 47, 48, 44, 45, 45, 48, 51, 51, 
## 47, 62, 69, 64, 57, 61, 67, 59, 66, 59, 61, 70, 64, 58, 60, 60, 
## 58, 61, 60, 63, 67, 67, 63, 68, 66, 63, 165, 161, 167, 167, 168, 
## 163, 168, 172, 166, 163, 170, 169, 164, 171, 172, 167, 172, 170, 
## 169, 174, 167, 161, 169, 165, 173, 172, 168, 162, 163, 169, 175, 
## 163, 166, 169, 173, 162, 158, 160, 163, 167, 161, 162, 162, 164, 
## 160, 163, 163, 166, 162, 166, 162, 165, 160, 168, 161, 171, 164, 
## 163, 164, 163, 165, 166, 166, 169, 168, 159, 169, 170, 159, 163, 
## 164, 164, 168, 169, 173, 163, 167, 168, 169, 163, 167, 169, 175, 
## 169, 166, 171, 168, 167, 168, 173, 168, 166, 167, 171, 162, 165, 
## 165, 167, 25, 13, 9, 13, 7, 13, 10, 6, 0, 0, -6, -3, -2, -5, 
## -8, -6, 40, 38, 40, 37, 27, 14, 6, -6, 16, 17, 40, 38, 39, 39, 
## 40, 31, 37, 39, 34, 37, 33, 29, 34, 36, 40, 32, 27, 37, 30, 30, 
## 27, 31, 60, 69, 100, 85, 86, 85, 78, 81, 75, 59, 54, 61, 55, 
## 51, 53, 46, 54, 56, 51, 46, 52, 46, 48, 44, 43, 36, 37, 41, 40, 
## 33, 34, 30, 35, 30, 30, 29, 32, 29, 33, 31, 34, 29, 23, 25, 23, 
## 25, 27, 26, 20, 26, 27, 24, 24, 23, 25, 24, 19, 20, 22, 16, 23, 
## 19, 19, 17, 16, 17, 21, 19, 21, 23, 19, 20, 25, 23, 21, 22, 30, 
## 23, 28, 19, 17, 17, 18, 17, 18, 17, 25, 23, 25, 22, 24, 25, 12, 
## 21, 21, 16, 18, 19, 15, 13, 16, 16, 13, 18, 16, 19, 21, 22, 19, 
## 19, 12, 19, 19, 17, 17, 13, 20, 14, 12, 11, 16, 12, 9, 13, 13, 
## 9, 11, 9, 11, 12, 11, 13, 23, 11, 16, 16, 16, 15, 21, 13, 18, 
## 12, 13, 10, 6, 8, 9, 7, 15, 10, 9, 4, 9, 9, 7, 6, 12, 11, 13, 
## 11, 9, 10, 15, 10, 15, 13, 9, 14, 13, 15, 10, 12, 11, 13, 22, 
## 17, 22, 25, 24, 25, 26, 18, 30, 20, 21, 14, 23, 20, 19, 20, 16, 
## 18, 16, 16, 21, 16, 24, 20, 20, 12, 12, 26, 26, 21, 22, 24, 27, 
## 22, 25, 30, 31, 26, 26, 23, 23, 17, 21, 28, 21, 23, 26, 25, 21, 
## 18, 18, 27, 22, 24, 23, 27, 29, 31, 25, 28, 39, 35, 32, 26, 26, 
## 23, 23, 24, 24, 30, 27, 30, 32, 29, 30, 26, 29, 30, 25, 31, 27, 
## 23, 27, 26, 25, 29, 22, 26, 24, 25, 30, 30, 36, 31, 29, 33, 33, 
## 27, 27, 30, 30, 24, 23, 21, 24, 22, 24, 22, 27, 26, 28, 24, 21, 
## 27, 21, 15, 22, 23, 17, 20, 18, 16, 23, 17, 24, 25, 26, 30, 30, 
## 27, 30, 20, 20, 11, 21, 24, 23, 23, 17, 24, 23, 16, 19, 20, 18, 
## 22, 23, 27, 23, 23, 25, 26, 29, 30, 21, 29, 21, 22, 22, 16, 10, 
## 21, 20, 21, 24, 22, 26, 33, 23, 23, 32, 25, 33, 28, 26, 23, 21, 
## 29, 27, 32, 26, 25, 27, 20, 30, 27, 30, 21, 22, 22, 16, 18, 19, 
## 26, 23, 22, 23, 20, 23, 15, 23, 21, 16, 19, 18, 24, 29, 27, 28, 
## 33, 33, 31, 25, 22, 33, 33, 162, 167, 165, 170, 162, 166, 165, 
## 167, 163, 165, 166, 165, 158, 166, 163, 163, 173, 163, 167, 161, 
## 175, 158, 166, 173, 167, 170, 172, 166, 168, 166, 170, 164, 167, 
## 160, 172, 167, 171, 169, 170, 169, 169, 166, 174, 170, 172, 170, 
## 174, 176, 172, 176, 180, 174, 173, 171, 181, 179, 172, 179, 179, 
## 174, 170, 175, 175, 182, 180, 182, 177, 25, 23, 21, 21, 23, 19, 
## 24, 21, 35, 28, 28, 21, 21, 24, 23, 24, 16, 22, 18, 21, 17, 18, 
## 23, 17, 22, 19, 21, 17, 20, 27, 23, 25, 20, 13, 13, 9, 17, 19, 
## 11, 7, 11, 15, 11, 12, 13, 12, 25, 14, 17, 20, 18, 19, 22, 14, 
## 18, 23, 20, 20, 17, 18, 25, 23, 18, 27, 32, 27, 27, 27, 32, 28, 
## 0, -7, -3, 1, 8, 9, 16, 26, 45, 47, 54, 56, 57, 51, 47, 51, 41, 
## 52, 47, 44, 41, 44, 48, 48, 41, 47, 44, 43, 38, 46, 41, 46, 46, 
## 46, 50, 48, 44, 45, 45, 49, 42, 46, 50, 49, 53, 49, 48, 48, 51, 
## 46, 38, 44, 46, 47, 37, 29, 48, 53, 57, 56, 56, 59, 55, 53, 56, 
## 44, 50, 51, 47, 58, 53, 52, 49, 54, 52, 50, 56, 53, 49, 50, 53, 
## 53, 45, 49, 54, 50, 54, 62, 62, 62, 60, 58, 56, 63, 62, 63, 59, 
## 57, 58, 58, 58, 55, 58, 48, 55, 53, 58, 57, 56, 60, 59, 59, 60, 
## 63, 56, 60, 63, 65, 60, 59, 52, 57, 55, 53, 47, 53, 59, 55, 49, 
## 54, 51, 47, 51, 44, 51, 70, 75, 71, 72, 64, 75, 69, 66, 67, 55, 
## 59, 54, 64, 61, 58, 54, 69, 66, 67, 66, 62, 68, 68, 71, 67, 61, 
## 60, 68, 65, 65, 67, 66, 66, 65, 66, 68, 66, 63, 66, 65, 69, 69, 
## 71, 69, 65, 60, 71, 2, 0, 5, -5, -4, 0, 4, 5, 3, 5, 4, 6, 6, 
## -4, 2, 9, 6, 7, 8, -2, -7, -3, -4, -5, 1, 6, 2, 2, 6, 7, 9, 2, 
## 5, 3, 6, 9, 3, 2, 7, 16, 7, -1, 9, 3, 1, 6, 1, 5, 0, 5, 2, 5, 
## 6, 0, 4, 15, 9, 0, 0, 1, 5, -3, 0, 10, 3, 8, 8, 5, 5, -1, 6, 
## 6, 8, 1, 4, 3, 3, 5, 8, 4, 2, 2, -7, -6, -1, -1, -3, -11, -13, 
## -15, -6, -6, -6, -2, -7, -13, -12, -2, -5, -7, -9, -8, 4, -5, 
## 4, 10, 4, 8, 3, 1, 4, -2, -1, -8, -4, -3, -12, -11, -10, -10, 
## -3, 7, -2, 3, 2, 2, 4, 7, 6, 1, 3, 1, -3, -6, -2, -4, -2, -16, 
## -12, -8, -6, -10, -5, -4, -5, -3, -7, -1, -6, -7, -9, -10, -5, 
## -2, -8, -7, -3, -1, -3, 1, -3, -6, 1, 2, 4, -1, 0, -7, -11, -20, 
## -19, -17, -16, -11, -12, -12, -10, -19, -15, -7, 2, 1, -2, -3, 
## -7, -1, -2, 2, -1, 1, -1, -11, -8, -16, -16, -15, -7, -10, -8, 
## -7, -7, -7, -7, -2, -2, 0, -1, -5, -4, -1, -3, 3, -3, -12, -10, 
## -4, -10, -3, -1, 5, 5, -1, 4, 1, 2, 5, 4, 7, 6, 0, 3, -14, -16, 
## -15, -10, -9, -8, -3, -5, -5, 1, 1, -3, -7, 4, 2, -1, -4, -3, 
## -3, 1, 1, 1, 10, -2, -3, -6, -8, -17, -13, -18, -18, -7, -10, 
## 1, -11, 0, -24, -22, -20, -12, -14, -9, -7, -9, -10, -21, -22, 
## -21, -22, -22, -20, -12, -9, -13, -9, -15, -10, -7, -9, -7, -5, 
## -6, -6, -6, 0, -7, -11, -15, -23, -13, -13, -7, -1, 0, -6, 0, 
## 5, 0, -9, -9, -1, -2, 1, -1, -2, -6, -2, 8, 2, 6, 9, 25, 27, 
## 31, 33, 35, 37, 28, 27, 32, 36, 36, 34, 36, 39, 38, 39, 34, 31, 
## 32, 31, 31, 27, 30, 25, 30, 29, 28, 31, 27, 30, 29, 32, 35, 35, 
## 31, 26, 37, 26, 34, 29, 32, 33, 36, 36, 34, 37, 45, 45, 38, 42, 
## 39, 48, 35, 41, 33, 47, 44, 45, 46, 47, 36, 41, 47, 41, 43, 41, 
## 40, 51, 43, 39, 45, 35, 40, 45, 40, 41, 44, 41, 42, 44, 35, 37, 
## 40, 39, 41, 35, 33, 42, 32, 30, 32, 39, 30, 36, 28, 25, 26, 28, 
## 29, 30, 31, 32, 37, 34, 38, 38, 31, 36, 37, 34, 43, 34, 33, 38, 
## 40, 30, 27, 38, 38, 39, 37, 38, 40, 33, 39, 41, 39, 47, 46, 40, 
## 43, 39, 38, 33, 32, 37, 44, 35, 33, 31, 31, 33, 39, 35, 35, 34, 
## 34, 35, 33, 29, 38, 30, 34, 36, 31, 42, 42, 39, 36, 37, 38, 39, 
## 32, 28, 40, 27, 25, 29, 23, 20, 23, 24, 22, 27, 26, 24, 25, 22, 
## 33, 34, 31, 32, 23, 26, 31, 32, 33, 31, 48, 39, 44, 33, 31, 33, 
## 36, 40, 42, 42, 38, 36, 38, 39, 39, 38, 37, 34, 29, 34, 26, 27, 
## 23, 40, 33, 27, 26, 30, 31, 32, 32, 28, 32, 36, 32, 28, 37, 37, 
## 36, 39, 47, 44, 48, 41, 43, 31, 32, 31, 32, 32, 39, 35, 35, 30, 
## 35, 34, 30, 30, 34, 31, 30, 38, 44, 36, 40, 31, 41, 39, 35, 36, 
## 17, 13, 24, 29, 31, 32, 32, 32, 38, 49, 35, 32, 44, 30, 34, 33, 
## 32, 31, 31, 29, 4, 19, 17, 11, 16, 13, 2, 10, 10, 9, 11, 3, 0, 
## 4, -1, 0, -1, 4, 1, -5, 4, 2, 2, 2, -1, 1, 5, 2, 6, 3, 7, 4, 
## 4, 5, 6, 5, 9, 9, 4, 9, 8, 8, 7, 3, 4, 6, 1, -6, 8, -1, 4, 0, 
## 8, 2, 2, 4, 2, 7, -5, 0, 3, 0, -4, 3, 1, 2, 3, 8, 6, 3, 10, 4, 
## 1, 4, 9, 11, 8, 3, 10, 6, 1, -4, 5, 4, -2, 1, 5, 9, 11, 12, 4, 
## -1, 8, 11, 5, 9, 5, 8, 6, 4, 6, 0, 5, 10, 4, 1, 9, 6, 5, 13, 
## 1, 9, 8, 4, 2, 5, 8, 8, 10, 8, 11, -1, 4, -4, 0, 3, 4, 6, 5, 
## 6, 3, 3, 4, -2, 7, 3, 3, 11, 6, 4, 7, 1, 7, 2, 0, 0, 8, 4, 7, 
## 3, 2, 1, -3, 1, -4, 1, 7, 5, 5, 2, 3, -2, -7, -2, 0, -4, -1, 
## -1, 1, 1, 0, -2, 3, 4, -1, 2, 1, 8, 0, 11, 1, 9, -4, -4, -9, 
## -1, 1, 5, 9, 12, 7, 12, 6, 8, 3, -4, 0, -1, -1, -1, -7, -2, 0, 
## -4, -5, 1, 4, 0, -9, -4, 0, 7, 0, 4, 5, 8, 5, -1, 0, 2, 2, 2, 
## -1, 5, 8, 11, 6, 11, 4, 1, 9, 3, 6, 24, 18, 17, 20, 18, 17, 17, 
## 19, 18, 18, 27, 21, 21, 21, 13, 20, 19, 24, 17, 18, 28, 29, 27, 
## 25, 32, 37, 30, 30, 38, 31, 27, 33, 31, 26, 27, 24, 15, 22, 18, 
## 12, 10, 12, 13, 11, 4, 10, 43, 45, 50, 45, 35, 37, 43, 34, 32, 
## 34, 28, 30, 26, 36, 37, 37, 41, 42, 41, 43, 48, 36, 31, 29, 31, 
## 32, 44, 52, 53, 49, 49, 48, 40, 39, 41, 29, 41, 40, 41, 44, 45, 
## 46, 47, 38, 35, 47, 52, 54, 57, 54, 57, 46, 51, 48, 56, 42, 26, 
## 29, 37, 46, 54, 53, 60, 56, 56, 53, 54, 53, 55, 51, 53, 45, 47, 
## 49, 54, 49, 58, 59, 42, 43, 38, 39, 43, 44, 46, 43, 51, 54, 49, 
## 60, 54, 48, 49, 47, 40, 46, 45, 43, 50, 46, 41, 39, 40, 38, 41, 
## 38, 35, 35, 43, 45, 46, 42, 41, 40, 34, 38, 35, 22, 29, 32, 38, 
## 42, 47, 54, 51, 49, 54, 51, 52, 56, 58, 61, 62, 64, 59, 57, 52, 
## 52, 52, 60, 53, 59, 53, 52, 54, 51, 51, 56, 52, 49, 47, 46, 53, 
## 50, 46, 49, 42, 42, 41, 34, 34, 33, 36, 39, 48, 52, 50, 52, 56, 
## 60, 61, 68, 67, 67, 63, 59, 62, 59, 62, 65, 63, 58, 58, 54, 39, 
## 34, 36, 30, 48, 46, 53, 47, 56, 50, 49, 49, 43, 48, 47, 45, 42, 
## 48, 50, 49, 45, 47, 49, 49, 47, 60, 62, 174, 172, 173, 174, 175, 
## 180, 175, 172, 171, 161, 173, 164, 161, 170, 167, 169, 163, 167, 
## 165, 169, 163, 167, 167, 172, 166, 168, 168, 170, 162, 162, 171, 
## 161, 157, 166, 161, 163, 163, 159, 167, 164, 165, 166, 162, 164, 
## 162, 167, 163, 163, 161, 160, 161, 162, 156, 169, 163, 169, 166, 
## 155, 167, 160, 160, 167, 168, 165, 167, 161, 163, 170, 163, 169, 
## 164, 158, 164, 161, 160, 159, 164, 167, 167, 166, 168, 163, 169, 
## 164, 167, 170, 161, 157, 160, 163, 161, 167, 164, 175, 169, 165, 
## 167, 170, 168, 165, 172, 162, 159, 160, 160, 165, 163, 163, 166, 
## 165, 171, 167, 161, 163, 169, 162, 163, 167, 165, 166, 164, 165, 
## 160, 163, 171, 167, 167, 168, 169, 160, 161, 163, 165, 161, 166, 
## 162, 164, 162, 160, 158, 163, 160, 162, 162, 160, 162, 167, 165, 
## 163, 159, 163, 167, 159, 161, 163, 154, 158, 156, 156, 165, 162, 
## 160, 167, 156, 164, 163, 163, 163, 163, 167, 164, 161, 166, 162, 
## 162, 162, 163, 164, 166, 155, 166, 159, 162, 171, 163, 164, 159, 
## 157, 160, 161, 167, 163, 165, 166, 160, 161, 162, 155, 163, 166, 
## 163, 161, 164, 167, 172, 164, 163, 167, 167, 166, 168, 170, 166, 
## 165, 167, 170, 167, 171, 168, 170, 169, 169, 166, 165, 171, 174, 
## 169, 168, 165, 170, 164, 170, 168, 169, 168, 171, 165, 164, 168, 
## 165, 162, 168, 160, 167, 173, 163, 166, 174, 166, 166, 162, 173, 
## 175, 172, 177, 181, 182, 187, 191, 201, 210, 206, 207, 214, 211, 
## 215, 216, 216, 219, 221, 219, 228, 220, 218, 218, 218, 223, 222, 
## 216, 220, 208, 204, 201, 198, 193, 198, 191, 179, 188, 183, 173, 
## 174, 171, 165, 161, 159, 158, 164, 164, 168, 175, 174, 171, 183, 
## 179, 177, 186, 179, 180, 160, 162, 167, 163, 162, 166, 168, 169, 
## 166, 159, 158, 166, 166, 168, 167, 164, 163, 166, 170, 168, 159, 
## 158, 168, 164, 162, 160, 161, 165, 163, 162, 168, 161, 170, 169, 
## 161, 165, 161, 167, 164, 164, 168, 161, 160, 160, 166, 166, 172, 
## 162, 161, 171, 164, 167, 162, 173, 167, 172, 173, 168, 169, 162, 
## 173, 168, 168, 169, 162, 168, 167, 164, 164, 163, 158, 157, 160, 
## 164, 159, 161, 164, 165, 163, 168, 171, 167, 173, 181, 173, 168, 
## 172, 167, 175, 163, 164, 165, 163, 161, 171, 163, 31, 25, 33, 
## 32, 33, 33, 32, 38, 34, 34, 32, 28, 21, 14, 21, 16, 14, 6, 3, 
## 5, 4, 2, 13, 9, 11, 7, 8, 11, 15, 10, 16, 20, 13, 16, 20, 18, 
## 29, 25, 23, 23, 23, 26, 23, 21, 20, 20, 16, 12, 17, 17, 11, 8, 
## 8, 5, 1, 4, 5, 3, 4, 5, 3, 7, 7, 5, 3, 10, 14, 10, 9, 8, 9, 15, 
## 8, 12, 10, 14, 15, 16, 17, 19, 22, 22, 16, 23, 15, 11, 12, 16, 
## 6, 7, 6, 5, 14, 7, 7, 10, 10, 13, 9, 11, 10, 3, 13, 12, 15, 8, 
## 9, 13, 9, 9, 12, 13, 14, 14, 13, 11, 19, 15, 18, 13, 11, 10, 
## 6, 2, 1, 6, 6, 4, 4, 9, 4, 4, 7, 5, 5, 5, 9, 7, 16, 10, 8, 12, 
## 15, 13, 16, 17, 19, 18, 19, 13, 9, 11, 11, 11, 13, 12, 11, 12, 
## 4, 5, 10, 9, 12, 13, 11, 12, 15, 11, 6, 11, 13, 15, 12, 13, 16, 
## 10, 12, 13, 7, 14, 11, 18, 15, 21, 17, 22, 21, 16, 19, 20, 16, 
## 15, 16, 15, 17, 13, 6, 18, 14, 15, 12, 8, 8, 12, 13, 12, 12, 
## 14, 16, 15, 11, 18, 15, 14, 15, 16, 14, 17, 18, 18, 5, 10, 12, 
## 12, 13, 14, 15, 19, 16, 15, 20, 22, 23, 26, 25, 22, 18, 18, 9, 
## 13, 8, 13, 8, 17, 20, 23, 21, 29, 22, 20, 22, 19, 17, 18, 22, 
## 22, 22, 17, 17, 18, 21, 24, 21, 25, 27, 31, 30, 27, 32, 24, 26, 
## 19, 19, 19, 16, 20, 18, 17, 25, 22, 20, 28, 18, 18, 19, 20, 13, 
## 10, 16, 19, 15, 15, 16, 8, 17, 21, 21, 23, 25, 25, 25, 16, 23, 
## 22, 28, 26, 25, 25, 16, 16, 16, 14, 19, 10, 17, 11, 19, 16, 16, 
## 21, 18, 16, 16, 18, 22, 19, 24, 24, 30, 18, 22, 25, 21, 21, 21, 
## 22, 21, 33, 24, 37, 40, 29, 39, 30, 32, 33, 28, 17, 12, 17, 15, 
## 13, 19, 14, 15, 16, 17, 15, 16, 12, 12, 13, 12, 16, 16, 19, 19, 
## 16, 13, 13, 17, 14, 12, 15, 18, 20, 12, 18, 11, 18, 20, 16, 16, 
## 15, 21, 23, 18, 24, 27, 26, 176, 177, 171, 163, 167, 162, 166, 
## 162, 159, 166, 161, 159, 161, 162, 163, 163, 157, 166, 164, 161, 
## 160, 159, 168, 177, 177, 165, 171, 171, 168, 169, 168, 171, 175, 
## 174, 167, 162, 171, 168, 166, 167, 171, 157, 162, 167, 163, 166, 
## 164, 171, 163, 169, 167, 167, 170, 169, 167, 174, 168, 166, 174, 
## 163, 170, 171, 172, 165, 166, 172, 172, 172, 166, 163, 168, 166, 
## 13, 15, 20, 18, 19, 17, 21, 16, 17, 10, 15, 20, 10, 9, 13, 17, 
## 12, 19, 21, 8, 20, 22, 12, 18, 13, 18, 19, 19, 14, 9, 10, 11, 
## 8, 14, 11, 15, 14, 9, 9, 16, 9, 10, 15, 12, 14, 16, 22, 23, 20, 
## 24, 17, 21, 23, 26, 16, 19, 18, 13, 4, 2, 9, 2, 7, 1, 7, 0, 48, 
## 49, 49, 44, 46, 44, 47, 46, 60, 59, 62, 43, 45, 44, 34, 39, 43, 
## 35, 41, 41, 45, 49, 48, 51, 51, 48, 42, 45, 36, 41, 46, 48, 64, 
## 66, 70, 72, 67, 64, 58, 53, 53, 35, 38, 39, 47, 48, 49, 47, 43, 
## 40, 42, 37, 32, 30, 32, 25, 42, 52, 56, 46, 48, 47, 46, 41, 40, 
## 43, 41, 37, 38, 44, 45, 49, 57, 50, 47, 42, 44, 31, 31, 30, 33, 
## 33, 28, 26, 27, 23, 33, 28, 22, 22, 31, 26, 26, 40, 43, 38, 43, 
## 35, 29, 40, 31, 37, 40, 40, 33, 36, 33, 31, 27, 29, 30, 34, 34, 
## 24, 32, 26, 32, 33, 35, 32, 31, 29, 42, 40, 40, 39, 43, 40, 43, 
## 40, 45, 46, 36, 39, 47, 40, 37, 45, 41, 37, 39, 42, 41, 34, 34, 
## 37, 37, 40, 39, 34, 38, 32, 34, 32, 36, 37, 40, 35, 45, 36, 39, 
## 40, 35, 35, 36, 37, 5, 0, -1, -3, 1, -12, 0, -2, -3, -3, -13, 
## -10, 2, 6, 3, -14, -18, -12, -19, -19, -17, -15, -21, -8, -2, 
## -8, -4, -1, -1, 1, 2, 11, 16, 7, 11, 12, 12, 10, 10, 10, 15, 
## 15, 8, 17, 2, 9, 12, 16, 12, 13, 9, 13, 10, 14, 13, 13, 17, 24, 
## 22, 21, 23, 21, -12, -2, 1, 1, -1, 4, 0, -3, 5, 2, -4, -1, -3, 
## 6, -4, -1, 2, 4, -4, -2, -1, 6, 1, -3, 11, 2, 0, -3, -1, 1, -2, 
## -7, -5, -5, 0, 3, 1, 2, 7, 2, -1, 6, 1, 4, 3, 14, -1, 1, -2, 
## 4, -1, -1, 2, 1, 11, 4, 1, 6, 2, 7, 5, -2, -3, -3, 5, 7, -10, 
## -5, 4, 8, 8, -5, 5, -3, 2, 1, -3, 3, 10, 9, 8, 2, 8, 9, 4, 11, 
## 10, 7, 2, 1, 3, 4, 9, -1, -3, 3, 5, 5, 7, 0, -1, 8, 10, 4, 3, 
## 14, 8, 5, 0, 2, -1, 2, 4, -1, -2, -10, -2, -7, -10, -11, 1, -7, 
## -7, 0, -3, -4, -5, -1, -4, -2, -1, 3, -1, 5, 5, 4, 10, 3, 7, 
## -2, 9, 8, -1, 2, 5, -5, 4, -2, -2, 0, -1, 6, -3, 2, -1, 9, 1, 
## -2, 12, 2, 0, 10, 7, 4, 4, 3, 1, 3, 6, 4, 11, 0, 8, 13, 13, 7, 
## 15, 16, 15, 9, 11, 14, 13, 9, 4, 9, 14, 4, 9, 11, 11, 8, 9, 13, 
## 2, 7, 8, 7, 16, 10, 11, 9, 10, 10, 7, 9, 10, 2, 1, 3, 4, 4, 3, 
## 6, 2, 6, 1, 4, 10, 7, 4, 8, 10, 7, 3, 5, 11, 12, 2, 15, 12, 8, 
## 9, 14, 12, 17, 17, 13, 10, 1, 9, 2, 7, 3, 5, 5, 7, 8, 9, 3, 4, 
## 10, 10, 13, 17, 17, 17, 19, 21, 19, 14, 18, 21, 25, 18, 15, 14, 
## 19, 13, 9, 16, 13, 11, 21, 16, 24, 8, 8, 11, 11, 14, 18, 19, 
## 18, 12, 12, 13, 17, 19, 16, 17, 24, 20, 21, 18, 15, 15, 10, 12, 
## 11, 7, 7, 7, 9, 10, 12, 8, 19, 12, 16, 7, 9, 13, 12, 16, 11, 
## 15, 12, 17, 16, 10, 20, 13, 6, 10, 3, 12, 11, 2, 5, 12, 9, 6, 
## 10, 9, 11, 10, 9, 32, 36, 34, 35, 37, 35, 35, 35, 40, 34, 35, 
## 39, 31, 32, 43, 32, 37, 40, 35, 40, 40, 40, 38, 38, 40, 38, 39, 
## 41, 36, 43, 32, 32, 32, 39, 34, 27, 29, 35, 27, 34, 33, 32, 24, 
## 34, 37, 37, 35, 38, 43, 44, 43, 40, 38, 40, 36, 33, 35, 32, 35, 
## 37, 35, 36, 34, 37, 36, 40, 37, 31, 28, 37, 32, 34, 31, 32, 37, 
## 34, 33, 34, 38, 36, 28, 42, 38, 41, 36, 38, 32, 41, 33, 31, 28, 
## 32, 27, 26, 31, 26, 39, 29, 28, 48, 48, 46, 39, 32, 45, 42, 38, 
## 41, 40, 34, 39, 40, 42, 39, 49, 43, 38, 42, 42, 29, 36, 32, 32, 
## 25, 27, 26, 32, 29, 34, 32, 39, 38, 44, 46, 47, 41, 47, 43, 31, 
## 34, 37, 33, 30, 32, 24, 27, 32, 33, 33, 35, 33, 30, 37, 32, 35, 
## 42, 36, 38, 35, 41, 42, 45, 36, 40, 36, 35, 37, 27, 33, 35, 39, 
## 34, 31, 32, 34, 31, 32, 30, 29, 30, 27, 24, 21, 26, 23, 28, 28, 
## 26, 37, 40, 43, 42, 41, 33, 35, 40, 32, 36, 40, 36, 35, 40, 41, 
## 38, 37, 48, 44, 44, 44, 46, 46, 48, 44, 48, 51, 41, 47, 41, 48, 
## 42, 39, 40, 49, 47, 49, 52, 42, 47, 44, 44, 40, 43, 49, 48, 49, 
## 51, 51, 53, 48, 52, 52, 51, 15, 10, 17, 16, 14, 11, 16, 17, 13, 
## 6, 15, 13, 12, 14, 12, 10, 7, 10, 8, 12, 12, 8, 9, 9, 1, 7, 9, 
## 0, 5, 2, 1, -1, 2, 0, -6, 4, 5, 6, -1, 4, 5, 4, -1, 1, 6, 6, 
## 4, 5, 3, 5, 5, 2, 9, 4, 7, 2, -4, 8, 1, 2, 0, -1, 1, -1, -1, 
## 1, 1, 7, 2, 3, 3, 10, 4, 0, 3, 5, 4, 3, 14, -2, -2, 5, 2, -4, 
## 1, 1, 1, 2, 5, 2, 9, 3, 9, 7, 2, -3, -5, 7, 3, -2, 0, 4, -1, 
## -2, 0, 3, 6, 4, 0, 2, -5, -3, 3, 0, -1, -5, 0, -7, 6, 1, 3, 2, 
## 5, -1, -2, 0, 3, -1, 5, 4, 10, 2, 5, 11, 10, 4, 1, 2, 4, 5, -1, 
## 2, 2, 7, 5, -4, 1, -3, -2, 3, 2, 2, 3, 3, 2, 4, 5, 4, 8, 8, 6, 
## 1, 0, 1, 6, 6, 11, 3, 2, 3, 12, 9, 5, 7, 6, 2, -4, -2, 9, 2, 
## 10, 0, 1, 10, 1, -5, 2, 1, 5, 4, -3, 4, 0, 5, 0, 1, 3, -1, -7, 
## -4, 3, -6, 3, 1, -2, -1, -7, 2, 1, 4, 3, 3, 8, 8, 11, 9, 11, 
## 9, 3, 5, 10, 10, 9, 8, 8, 4, 2, 6, 6, 2, 6, 8, 8, 9, 8, 5, -3, 
## -7, -7, -3, -6, -2, -3, -7, -4, -7, -4, -3, 0, -6, -9, -2, 4, 
## 4, -2, -2, -2, 1, -1, 3, 5, -1, 5, -4, 59, 61, 55, 52, 59, 56, 
## 53, 56, 51, 49, 43, 43, 44, 49, 38, 44, 48, 40, 44, 49, 50, 42, 
## 47, 46, 49, 50, 49, 47, 50, 45, 44, 45, 41, 46, 47, 49, 44, 38, 
## 51, 50, 46, 48, 50, 48, 38, 43, 46, 44, 43, 44, 42, 52, 47, 45, 
## 48, 45, 42, 41, 46, 44, 43, 44, 46, 48, 47, 45, 45, 41, 45, 46, 
## 45, 46, 47, 46, 53, 47, 50, 41, 45, 45, 48, 51, 53, 46, 42, 39, 
## 48, 48, 46, 46, 45, 48, 56, 54, 52, 52, 46, 44, 47, 54, 51, 55, 
## 51, 55, 43, 44, 46, 47, 46, 46, 45, 48, 49, 47, 44, 47, 47, 45, 
## 45, 46, 46, 51, 47, 49, 59, 53, 50, 51, 47, 50, 41, 38, 39, 40, 
## 39, 40, 44, 40, 49, 52, 49, 50, 45, 51, 47, 54, 45, 53, 44, 44, 
## 42, 45, 53, 43, 48, 39, 46, 48, 41, 41, 45, 50, 52, 52, 57, 51, 
## 49, 50, 48, 45, 50, 46, 48, 49, 50, 47, 46, 45, 46, 41, 44, 47, 
## 45, 42, 55, 54, 48, 51, 45, 53, 47, 52, 49, 51, 45, 54, 56, 46, 
## 52, 43, 44, 44, 41, 38, 43, 44, 45, 44, 44, 44, 47, 43, 42, 47, 
## 41, 45, 45, 45, 43, 45, 50, 52, 47, 45, 56, 49, 49, 44, 51, 49, 
## 46, 56, 55, 59, 58, 59, 56, 54, 51, 57, 58, 58, 54, 51, 61, 50, 
## 52, 55, 58, 55, 51, 54, 57, 53, 56, 54, 55, 57, 59, 61, 52, 56, 
## 55, 56, 52, 56, 53, 51, 56, 52, 51, 49, 51, 50, 41, 46, 51, 51, 
## 51, 56, 56, 55, 48, 58, 59, 51, 45, 46, 54, 47, 44, 39, 32, 29, 
## 34, 37, 41, 46, 49, 51, 43, 48, 39, 41, 36, 39, 52, 48, 45, 46, 
## 42, 41, 45, 47, 48, 44, 42, 44, 44, 46, 45, 45, 47, 48, 43, 46, 
## 57, 49, 53, 50, 53, 50, 53, 55, 51, 62, 63, 66, 65, 65, 62, 62, 
## 62, 49, 51, 50, 51, 52, 50, 50, 45, 51, 50, 49, 46, 52, 50, 48, 
## 42, 55, 47, 49, 50, 45, 50, 176, 175, 175, 175, 174, 175, 171, 
## 174, 178, 168, 175, 172, 185, 173, 170, 177, 171, 171, 172, 170, 
## 174, 180, 171, 167, 166, 173, 175, 172, 173, 175, 168, 171, 173, 
## 165, 164, 165, 170, 162, 164, 166, 170, 167, 172, 176, 165, 171, 
## 172, 170, 170, 169, 167, 168, 170, 173, 170, 173, 170, 171, 174, 
## 165, 166, 169, 170, 168, 166, 171, 167, 168, 167, 170, 163, 161, 
## 168, 160, 169, 166, 164, 166, 160, 161, 164, 167, 175, 169, 166, 
## 166, 166, 164, 162, 171, 166, 165, 171, 168, 164, 163, 162, 175, 
## 166, 167, 168, 165, 165, 160, 165, 164, 163, 166, 166, 173, 167, 
## 166, 169, 164, 166, 165, 167, 155, 162, 163, 166, 162, 160, 162, 
## 167, 165, 166, 166, 167, 169, 168, 169, 168, 167, 172, 168, 161, 
## 162, 170, 169, 167, 164, 167, 164, 172, 166, 156, 159, 163, 167, 
## 161, 167, 160, 163, 167, 163, 168, 167, 172, 165, 169, 161, 164, 
## 164, 167, 167, 161, 172, 165, 162, 162, 173, 166, 165, 169, 165, 
## 166, 164, 159, 162, 162, 169, 167, 161, 167, 167, 167, 168, 172, 
## 174, 164, 171, 162, 167, 166, 168, 161, 164, 167, 171, 163, 161, 
## 167, 162, 161, 166, 161, 166, 160, 168, 168, 160, 160, 166, 164, 
## 165, 161, 164, 158, 169, 159, 163, 163, 166, 167, 163, 164, 166, 
## 159, 168, 167, 169, 174, 163, 163, 165, 163, 164, 167, 165, 171, 
## 167, 165, 168, 162, 165, 166, 161, 169, 171, 164, 167, 162, 166, 
## 173, 165, 164, 168, 171, 169, 168, 170, 168, 166, 165, 167, 163, 
## 164, 160, 161, 166, 164, 166, 168, 159, 160, 163, 157, 166, 160, 
## 169, 161, 166, 165, 162, 163, 165, 164, 160, 164, 166, 172, 177, 
## 172, 167, 180, 181, 172, 175, 175, 176, 175, 168, 169, 174, 175, 
## 175, 168, 169, 170, 175, 172, 172, 182, 184, 173, 165, 167, 167, 
## 168, 171, 166, 168, 170, 169, 167, 165, 167, 166, 161, 165, 162, 
## 164, 170, 176, 165, 166, 172, 168, 167, 167, 171, 164, 174, 166, 
## 160, 160, 169, 164, 168, 164, 164, 167, 160, 161, 162, 174, 169, 
## 166, 163, 167, 169, 162, 166, 167, 168, 170, 172, 174, 159, 167, 
## 169, 171, 163, 164, 159, 163, 166, 167, 163, 168, 165, 171, 166, 
## 167, 166, 167, 165, 173, 167, 164, 164, 163, 165, 160, 164, 166, 
## 161, 171, 172, 169, 170, 167, 166, 175, 171, 166, 168, 170, 169, 
## 177, 172, 166, 170, 167, 170, 168, 171, 179, 166, 176, 172, 177, 
## 176, 172, 175, 175, 177, 179, 176, 180, 174, 23, 25, 32, 29, 
## 31, 36, 30, 32, 23, 31, 24, 33, 33, 30, 25, 33, 33, 32, 25, 31, 
## 33, 25, 31, 28, 25, 27, 30, 28, 27, 25, 29, 34, 27, 28, 32, 37, 
## 33, 27, 26, 23, 31, 25, 30, 26, 27, 36, 24, 31, 29, 28, 27, 30, 
## 26, 26, 27, 23, 27, 33, 31, 28, 29, 30, 26, 28, 26, 32, 30, 29, 
## 25, 26, 27, 24, 25, 30, 29, 26, 28, 24, 24, 32, 32, 29, 25, 34, 
## 20, 33, 31, 24, 26, 25, 26, 29, 19, 14, 22, 20, 20, 26, 27, 29, 
## 26, 33, 21, 28, 24, 28, 26, 27, 25, 26, 28, 28, 24, 27, 28, 24, 
## 27, 34, 31, 26, 34, 29, 27, 27, 24, 31, 27, 24, 24, 26, 27, 30, 
## 25, 29, 35, 25, 23, 26, 26, 24, 23, 22, 27, 28, 32, 27, 23, 27, 
## 31, 32, 32, 30, 33, 35, 33, 35, 24, 19, 21, 24, 22, 26, 22, 28, 
## 25, 25, 27, 21, 26, 22, 28, 30, 22, 27, 22, 23, 26, 18, 24, 29, 
## 27, 26, 30, 27, 29, 26, 32, 26, 31, 30, 27, 32, 29, 36, 23, 26, 
## 23, 26, 24, 26, 28, 30, 29, 36, 29, 31, 28, 28, 30, 23, 32, 23, 
## 22, 31, 31, 34, 30, 27, 30, 27, 30, 29, 30, 28, 29, 30, 41, 37, 
## 42, 37, 41, 30, 32, 29, 24, 34, 27, 30, 31, 34, 33, 31, 33, 28, 
## 35, 32, 30, 29, 25, 32, 26, 32, 27, 20, 28, 21, 23, 20, 24, 21, 
## 24, 26, 27, 25, 27, 28, 27, 29, 29, 27, 34, 40, 27, 32, 32, 29, 
## 29, 33, 32, 33, 33, 27, 28, 34, 25, 39, 34, 34, 26, 28, 22, 22, 
## 22, 22, 22, 26, 24, 27, 26, 29, 30, 23, 27, 30, 35, 26, 29, 28, 
## 31, 24, 26, 29, 23, 31, 28, 28, 31, 29, 32, 27, 31, 27, 34, 26, 
## 27, 56, 55, 62, 60, 58, 54, 57, 60, 56, 52, 48, 46, 56, 48, 50, 
## 47, 51, 47, 52, 49, 51, 47, 51, 49, 46, 47, 51, 53, 49, 56, 45, 
## 40, 43, 41, 44, 48, 49, 47, 49, 50, 43, 55, 43, 43, 42, 36, 39, 
## 37, 38, 39, 40, 40, 38, 42, 37, 46, 31, 32, 36, 30, 32, 31, 28, 
## 34, 30, 33, 36, 36, 29, 26, 25, 26, 23, 20, 29, 17, 25, 29, 31, 
## 25, 32, 31, 27, 34, 30, 37, 42, 45, 3, 5, 3, 2, 6, 3, 2, 9, 9, 
## 8, 5, 15, 17, 12, 6, 4, 8, 18, 4, 10, 5, 12, 11, 9, 18, 13, 13, 
## 12, 18, 9, 3, 3, 7, 7, 2, 1, 3, 10, -1, 10, 8, 14, 3, 2, 2, 3, 
## 3, 6, 3, 4, 9, 4, 10, 9, 6, 16, 4, 3, 5, -2, 1, 5, 6, -5, -1, 
## 5, 1, 4, 0, 1, 0, 0, 4, 4, 8, 7, 6, 8, -1, 1, -5, 8, 0, 4, 1, 
## -2, 3, 9, 6, 6, 7, 5, 1, 2, 4, 7, 11, 10, 3, 2, 5, 3, -4, 2, 
## -8, -1, 1, 4, 3, -1, -4, -1, 3, 3, 0, -1, 1, 3, 1, 1, -2, -4, 
## -7, 3, 0, 4, -5, 3, 5, 2, -1, 5, -5, 0, 2, -3, 3, 0, 2, -2, -3, 
## 4, 1, -3, 3, -3, 7, 1, 7, -8, -6, -7, -6, -7, 0, -7, -1, -4, 
## 3, -6, -4, 0, 3, 0, 1, -6, -1, 0, -4, -3, -2, 7, 8, 5, 0, 4, 
## 7, 10, 6, 8, 4, 5, 6, 12, 11, 10, 5, 11, 10, 13, 9, 15, 14, 10, 
## 4, 12, 14, 10, 10, 5, 9, 7, 2, 1, 2, 7, 9, 11, 6, 10, 5, 3, 10, 
## 4, 7, 8, 9, 10, 3, 10, 5, 9, 6, 10, 8, 9, 13, 9, 12, 10, 10, 
## 8, 10, 7, 7, 7, 4, 11, 7, 9, 1, 8, 7, 3, 12, 5, 10, 6, 3, 9, 
## 6, 2, 8, -2, 2, 7, -3, 7, 3, 11, 5, 9, 7, 4, 14, 13, 5, 8, 9, 
## 8, -1, 3, 2, 6, -3, 4, 1, 0, 1, 9, 3, 8, 6, 7, 5, 7, 7, 7, -1, 
## 5, 5, 2, 10, 2, 7, 6, 9, 3, 1, -1, -5, -1, -2, 0, 1, 0, 2, 8, 
## 0, 6, 3, 4, 0, 5, 3, 3, 7, 5, 4, 5, 7, 1, 4, 6, 6, 5, 5, 0, -2, 
## -1, 0, 7, -4, 6, 2, 3, 3, 4, 6, 3, 4, 3, 9, 6, 2, 1, -1, 5, 4, 
## 2, -3, 8, 9, 14, 10, 14, 11, 12, 0, 8, 3, 12, 6, 4, 8, 10, 7, 
## 6, 3, 9, 6, 7, 9, 4, 6, 8, 13, 11, 13, 16, 10, 15, 6, 9, 5, 5, 
## 7, 6, 8, 12, 12, 9, 5, 9, 13, 10, 1, 0, 13, 8, 4, 6, -1, 1, 0, 
## 0, 0, 1, 3, 6, -8, 0, 2, -3, 1, 1, 19, 17, 18, 24, 26, 24, 20, 
## 18, 21, 22, 21, 23, 18, 20, 26, 19, 23, 19, 18, 27, 24, 23, 31, 
## 27, 27, 19, 25, 30, 24, 22, 22, 17, 23, 20, 19, 22, 25, 28, 27, 
## 22, 25, 27, 31, 25, 22, 26, 22, 24, 26, 25, 24, 24, 25, 26, 22, 
## 23, 26, 23, 21, 20, 25, 24, 28, 23, 18, 18, 22, 22, 19, 20, 23, 
## 18, 23, 30, 27, 23, 25, 27, 28, 29, 29, 22, 24, 18, 21, 16, 14, 
## 19, 19, 16, 19, 18, 16, 12, 23, 13, 25, 20, 23, 25, 21, 19, 25, 
## 19, 22, 25, 22, 24, 30, 22, 29, 22, 22, 24, 21, 17, 22, 18, 20, 
## 21, 24, 17, 21, 26, 22, 24, 23, 20, 24, 20, 27, 19, 12, 18, 15, 
## 21, 17, 23, 28, 18, 24, 19, 16, 23, 19, 21, 14, 11, 18, 15, 13, 
## 18, 11, 11, 14, 14, 19, 15, 18, 11, 22, 23, 15, 20, 24, 20, 22, 
## 22, 14, 15, 15, 14, 16, 16, 18, 19, 17, 22, 29, 28, 28, 26, 29, 
## 29, 28, 36, 48, 52, 46, 42, 29, 30, 37, 45, 48, 80, 77, 76, 90, 
## 86, 87, 88, 92, 89, 66, 38, 34, 27, 23, 20, 12, 10, -1, -2, 10, 
## 7, 24, 18, 21, 21, 34, 58, 76, 87, 82, 91, 89, 83, 91, 101, 106, 
## 108, 105, 104, 90, 88, 80, 69, 69, 58, 60, 40, 6, -3, 93, 97, 
## 96, 103, 95, 101, 107, 114, 102, 93, 93, 72, 53, 46, 16, 8, 2, 
## -3, 0, -6, -5, -11, -9, 2, 7, 13, 36, 84, 88, 65, 78, 89, 89, 
## 89, 99, 115, 116, 111, 124, 124, 108, 107, 100, 97, 100, 89, 
## 80, 66, 53, 50, 36, 41, 27, 28, -3, -12, -25, -17, -14, -5, -3, 
## 19, 22, 43, 71, 78, 99, 99, 95, 106, 103, 107, 103, 81, 83, 75, 
## 70, 69, 65, 61, 32, 25, -10, -12, -16, -14, -4, -7, 21, 16, 40, 
## 45, 57, 79, 91, 101, 106, 108, 110, 106, 96, 89, 83, 75, 32, 
## 19, -5, -10, -22, -37, -48, -46, -40, -8, 6, 19, 31, 32, 46, 
## 53, 60, 82, 86, 109, 125, 116, 115, 111, 118, 111, 106, 96, 97, 
## 86, 82, 79, 71, 64, 53, 30, 26, 19, -3, 2, -10, -16, -19, -31, 
## -37, -36, -32, -24, -7, 7, 32, 34, 38, 54, 63, 74, 77, 84, 87, 
## 93, 100, 104, 105, 111, 113, 111, 108, 110, 105, 110, 104, 82, 
## 78, 81, 78, 72, 71, 68, 57, 60, 38, 39, 36, 30, 33, 34, 21, 37, 
## 45, 56, 60, 61, 67, 62, 60, 69, 65, 71, 70, 72, 78, 86, 87, -4, 
## 6, 1, -4, 2, 8, 1, 3, 3, -6, -1, -3, 6, 2, 7, 1, 1, 0, 1, -2, 
## -1, 2, -4, -4, -4, -9, -6, 0, -1, 0, -4, 5, -1, 4, 5, 1, -1, 
## -3, -4, -3, 0, -2, -7, -4, -6, -7, 1, 0, 4, -1, -2, -1, 4, -1, 
## -5, -4, -2, 0, -4, -4, -3, -7, -9, -1, -5, 0, -2, -4, -1, 0, 
## -1, 6, 3, -9, -2, -2, -5, -10, 8, 3, 0, 1, 5, 2, 1, 7, 2, -1, 
## 1, -6, -7, -11, -2, -6, -7, 0, -6, -7, 4, -1, 0, 0, 0, -2, 1, 
## -2, -5, 6, -1, 8, 4, -5, -4, 8, 2, 7, 3, 1, -6, -4, -4, 7, -1, 
## -5, 4, -8, -1, 0, -5, 0, -7, -2, -4, -4, -3, -5, -6, -3, -3, 
## -3, -6, 0, -3, -6, -2, -3, -5, 0, -2, -1, -4, -1, -1, 2, 5, 0, 
## -2, 1, -4, -2, -1, -2, 0, -2, 1, 2, 0, -3, 3, 5, 3, -3, 1, 1, 
## -2, 3, -2, 2, 1, 3, 11, 0, 0, 52, 42, 48, 45, 44, 52, 47, 49, 
## 52, 53, 48, 53, 51, 50, 49, 53, 51, 52, 45, 52, 47, 44, 52, 56, 
## 58, 48, 49, 55, 52, 54, 52, 48, 48, 46, 51, 49, 48, 49, 48, 49, 
## 54, 49, 46, 49, 49, 55, 56, 53, 59, 51, 56, 52, 54, 53, 51, 56, 
## 61, 57, 56, 60, 57, 57, 62, 58, 53, 52, 54, 47, 53, 56, 53, 58, 
## 54, 43, 50, 39, 40, 43, 43, 48, 56, 49, 49, 51, 51, 57, 51, 50, 
## 46, 39, 45, 45, 49, 50, 46, 51, 43, 47, 51, 51, 55, 53, 57, 50, 
## 48, 49, 46, 52, 55, 48, 47, 49, 51, 52, 43, 54, 54, 53, 49, 53, 
## 49, 48, 49, 50, 43, 53, 47, 43, 45, 50, 52, 50, 59, 52, 56, 51, 
## 47, 54, 48, 44, 40, 46, 48, 56, 48, 50, 49, 49, 49, 53, 60, 49, 
## 43, 49, 49, 50, 50, 47, 47, 47, 50, 49, 53, 50, 47, 52, 41, 42, 
## 38, 43, 40, 45, 40, 42, 44, 46, 44, 46, 41, 42, 47, 53, 44, 52, 
## 40, 46, 39, 46, 43, 49, 45, 46, 39, 48, 39, 42, 47, 48, 44, 60, 
## 49, 49, 41, 49, 40, 48, 45, 43, 36, 41, 35, 42, 42, 33, 35, 38, 
## 38, 40, 41, 37, 37, 42, 51, 46, 44, 43, 42, 41, 38, 40, 44, 37, 
## 39, 46, 43, 46, 42, 36, 41, 42, 38, 36, 48, 40, 161, 161, 163, 
## 158, 167, 167, 166, 163, 164, 163, 164, 163, 159, 161, 163, 155, 
## 164, 163, 161, 158, 164, 164, 163, 167, 160, 160, 160, 167, 158, 
## 164, 159, 165, 162, 162, 163, 164, 159, 165, 158, 169, 162, 157, 
## 157, 169, 162, 161, 161, 162, 167, 159, 165, 159, 163, 162, 163, 
## 163, 166, 168, 165, 171, 161, 164, 165, 163, 164, 159, 157, 166, 
## 165, 159, 167, 159, 166, 165, 162, 165, 160, 161, 157, 156, 158, 
## 156, 159, 167, 160, 165, 166, 168, 159, 165, 161, 156, 165, 166, 
## 161, 164, 161, 161, 157, 155, 166, 158, 163, 159, 163, 166, 167, 
## 162, 166, 159, 159, 160, 158, 160, 157, 158, 164, 166, 157, 159, 
## 171, 163, 160, 162, 160, 164, 163, 152, 162, 157, 160, 170, 161, 
## 161, 163, 165, 162, 160, 159, 163, 158, 162, 156, 162, 161, 160, 
## 162, 158, 164, 164, 159, 165, 167, 165, 162, 160, 154, 162, 155, 
## 160, 156, 163, 159, 162, 154, 159, 156, 161, 159, 164, 158, 158, 
## 159, 157, 163, 178, 183, 179, 175, 177, 174, 174, 174, 177, 178, 
## 188, 190, 194, 172, 181, 187, 183, 177, 157, 160, 153, 151, 151, 
## 146, 149, 155, 149, 146, 156, 162, 169, 168, 170, 158, 163, 159, 
## 155, 159, 162, 167, 165, 162, 162, 164, 161, 159, 157, 165, 164, 
## 160, 164, 165, 161, 158, 158, 157, 164, 166, 167, 163, 160, 162, 
## 163, 162, 168, 165, 166, 163, 164, 161, 164, 167, 166, 166, 162, 
## 160, 162, 163, 159, 165, 159, 160, 165, 159, 160, 167, 163, 163, 
## 161, 159, 159, 161, 160, 171, 161, 161, 163, 162, 160, 162, 156, 
## 160, 154, 165, 160, 159, 159, 159, 155, 156, 158, 163, 165, 164, 
## 165, 163, 165, 160, 158, 160, 159, 162, 159, 28, 30, 31, 34, 
## 26, 28, 24, 22, 25, 30, 40, 27, 27, 28, 32, 43, 42, 39, 41, 37, 
## 34, 42, 32, 28, 28, 24, 26, 30, 32, 20, 27, 24, 25, 15, 19, 20, 
## 17, 28, 24, 18, 25, 31, 22, 31, 23, 19, 17, 18, 21, 20, 19, 23, 
## 26, 19, 18, 26, 15, 21, 28, 17, 22, 18, 20, 16, 20, 25, 20, 17, 
## 16, 18, 19, 17, 18, 28, 24, 20, 30, 22, 21, 26, 27, 28, 28, 32, 
## 24, 23, 29, 26, 21, 18, 20, 15, 21, 22, 11, 17, 14, 15, 16, 17, 
## 20, 19, 22, 24, 23, 27, 26, 27, 23, 25, 15, 24, 18, 23, 18, 19, 
## 21, 19, 17, 18, 17, 23, 21, 26, 20, 29, 24, 18, 24, 16, 17, 20, 
## 17, 30, 15, 22, 19, 22, 19, 22, 19, 19, 22, 19, 24, 25, 19, 21, 
## 19, 18, 29, 23, 19, 23, 30, 22, 28, 24, 20, 24, 28, 23, 18, 23, 
## 19, 26, 16, 27, 19, 24, 24, 18, 20, 19, 23, 25, 22, 27, 33, 27, 
## 32, 26, 28, 24, 29, 28, 21, 28, 22, 22, 21, 16, 19, 22, 12, 16, 
## 21, 26, 16, 20, 21, 20, 25, 20, 25, 28, 24, 26, 27, 16, 23, 28, 
## 25, 38, 26, 36, 28, 29, 30, 27, 27, 34, 29, 28, 29, 24, 18, 24, 
## 26, 37, 39, 34, 39, 38, 40, 41, 39, 34, 40, 67, 58, 58, 60, 53, 
## 58, 51, 50, 56, 50, 48, 53, 51, 50, 49, 48, 61, 58, 49, 52, 49, 
## 50, 48, 40, 56, 53, 52, 51, 49, 48, 50, 54, 48, 53, 55, 49, 60, 
## 53, 57, 64, 56, 54, 32, 16, 25, 12, -17, -14, -8, -1, -4, 37, 
## 53, 94, 108, 112, 114, 120, 124, 117, 124, 113, 107, 102, 98, 
## 92, 83, 79, 65, 43, 5, -2, -3, -7, -15, -15, -19, -12, -11, -13, 
## -4, 1, 6, 18, 24, 37, 42, 55, 92, 103, 96, 98, 98, 96, 94, 84, 
## 86, 81, 71, 50, 44, 51, 28, 19, -8, -6, -4, 1, 9, 18, 32, 61, 
## 79, 87, 95, 101, 104, 104, 4, 3, 1, 5, 5, 6, 4, 3, 2, 0, 3, 8, 
## 12, 14, 11, 1, 0, -2, -1, 2, 3, 2, 0, -5, 8, -2, 3, -1, 3, 8, 
## 3, 11, 5, 7, 5, 8, 12, 8, 2, 8, 16, 8, 13, 14, 5, 12, 7, 5, 10, 
## 3, 6, 1, 2, 10, 0, 5, 3, 6, 4, 5, 1, 3, 3, 2, -2, 3, 3, -1, -1, 
## -6, -7, -6, -8, -7, -3, -7, -5, 2, 0, 6, 1, -1, 422, 418, 438, 
## 452, 438, 422, 404, 405, 321, 309, 270, 255, 240, 237, 185, 174, 
## 164, 152, 150, 152, 159, 147, 148, 144, 142, 54, 194, 192, 194, 
## 193, 189, 193, 187, 188, 188, 184, 189, 187, 184, 190, 195, 194, 
## 194, 193, 198, 195, 196, 195, 192, 171, 165, 154, 154, 149, 150, 
## 141, 145, 140, 140, 144, 149, 149, 165, 164, 167, 169, 172, 175, 
## 174, 174, 172, 174, 170, 175, 179, 177, 180, 202, 206, 218, 217, 
## 208, 201, 192, 190, 190, 186, 193, 184, 167, 165, 158, 152, 153, 
## 157, 161, 163, 158, 162, 181, 200, 202, 213, 232, 254, 265, 280, 
## 306, 318, 348, 393, 395, 416, 431, 449, 485, 481, 479, 476, 471, 
## 474, 378, 384, 382, 383, 382, 375, 3, 5, 4, -2, 6, 8, -9, -11, 
## -8, -13, -10, -13, -12, -12, -8, -15, -9, -15, -13, -13, -9, 
## -12, -19, -22, -21, -23, -16, -11, -12, -6, -11, -2, -7, -6, 
## 3, 3, 1, 6, 3, 10, 0, 2, 2, 2, 0, 5, 2, 8, 5, 6, 3, 2, 6, 4, 
## 12, 11, 15, 16, 5, 4, 3, 8, 2, 3, 5, 7, 5, 10, 11, 23, 19, 17, 
## 22, 18, 15, 13, 11, 5, 9, 19, 9, 7, 9, 8, 18, 24, 22, 21, 18, 
## 19, 16, 12, 5, 4, 1, -2, -7, 18, 12, 19, 10, 12, 9, -4, 3, 15, 
## 19, 11, 9, 10, 13, 18, 17, 15, 15, 15, 11, 15, 18, 15, 15, 20, 
## 24, 13, 19, 9, 8, 1, -5, 0, -2, 6, 7, 14, 15, 10, 18, 13, 17, 
## 13, 12, 16, 15, 19, 20, -2, -2, 4, 2, 11, 2, 11, 11, 5, 11, 9, 
## 14, 10, 11, 17, 15, 19, 23, 30, 25, 25, 24, 23, 9, -10, -12, 
## -10, -5, -7, 10, 13, 15, 16, 30, 34, 39, 33, 27, 28, 29, 25, 
## 21, 14, 14, -2, -5, -18, -23, -16, -19, -15, -21, -14, -7, -8, 
## -6, -6, 1, 4, 3, 11, 7, 2, 14, 13, 15, 26, 33, 25, 28, 28, 22, 
## 16, 16, 11, 14, 5, -8, 0, -9, -13, -14, -17, -13, -10, -9, -8, 
## -9, -13, -12, -8, -6, -9, -2, -5, -4, -7, 0, 0, -8, 4, -4, -7, 
## 1, -4, -8, -1, -5, 1, 1, -3, 3, 2, 5, 2, 0, 2, 1, 5, 10, 7, 7, 
## 15, 12, 10, 12, 9, 13, 8, 6, 8, 8, 12, 5, 8, 14, 1, 3, 0, -9, 
## -18, -14, -18, -19, -20, -29, -35, -42, -27, -11, -5, 5, -2, 
## -6, -14, -1, -4, 2, 15, 13, 17, 17, 14, 13, 9, -1, -17, -18, 
## -32, -36, -37, -17, -6, -10, -1, 0, 5, -1, -4, -6, -2, -8, -12, 
## -2, 3, 3, 8, 11, 8, 11, 5, 11, 11, 8, 7, 1, -8, -16, -19, -11, 
## -3, 0, 2, 2, 1, 6, 7, 11, 7, 8, 8, 13, 19, 9, 7, 15, 30, 38, 
## 47, 38, 38, 36, 38, 31, 31, 18, 28, 38, 33, 33, 29, 38, 41, 39, 
## 44, 44, 53, 46, 56, 54, 42, 41, 36, 40, 41, 44, 35, 33, 32, 37, 
## 27, 32, 36, 30, 32, 34, 36, 34, 37, 41, 40, 10, 14, 12, 16, 12, 
## 30, 23, 32, 40, 38, 46, 46, 40, 41, 39, 32, 36, 32, 33, 37, 31, 
## 32, 30, 32, 31, 35, 36, 40, 35, 38, 36, 33, 32, 29, 30, 33, 33, 
## 36, 34, 34, 38, 41, 44, 47, 44, 47, 53, 56, 55, 53, 56, 42, 54, 
## 48, 50, 53, 47, 51, 40, 29, 37, 34, 29, 22, 18, 21, 25, 26, 26, 
## 29, 32, 31, 26, 30, 24, 29, 28, 28, 26, 30, 43, 38, 48, 42, 43, 
## 40, 46, 44, 43, 46, 44, 50, 48, 46, 48, 45, 39, 36, 26, 25, 20, 
## 22, 34, 27, 39, 43, 33, 49, 43, 22, 19, 28, 35, 38, 39, 38, 43, 
## 46, 42, 42, 40, 28, 28, 28, 23, 25, 24, 34, 40, 43, 31, 31, 42, 
## 44, 36, 26, 25, 23, 22, 16, 26, 27, 29, 36, 32, 29, 32, 27, 28, 
## 31, 24, 28, 40, 31, 24, 19, 17, 14, 15, 10, 7, 9, 20, 20, 18, 
## 20, 20, 18, 17, 19, 20, 19, 17, 14, 26, 40, 38, 43, 47, 43, 46, 
## 37, 44, 42, 46, 49, 54, 60, 59, 56, 54, 53, 51, 51, 44, 39, 40, 
## 42, 37, 44, 39, 38, 41, 43, 46, 52, 43, 57, 54, 45, 51, 52, 54, 
## 51, 48, 45, 44, 43, 43, 38, 36, 38, 39, 35, 32, 34, 25, 23, 26, 
## 22, 25, 29, 36, 36, 34, 36, 37, 32, 38, 32, 34, 27, 27, 15, 12, 
## 7, 10, 12, 11, 9, 15, 18, 11, 14, 7, 10, 5, 11, 9, 8, 7, 16, 
## 16, 27, 28, 27, 32, 30, 37, 37, 29, 27, 24, 18, 26, 26, 24, 37, 
## 31, 40, 38, 29, 35, 32, 25, 33, 28, 25, 6, 2, 3, 8, 2, 5, 12, 
## 7, 11, 24, 30, 35, 38, 36, 40, 39, 40, 30, 28, 27, 21, 29, 27, 
## 30, 18, 22, 36, 31, 37, 42, 40, 42, 40, 59, 67, 67, 64, 63, 68, 
## 77, 88, 82, 83, 81, 81, 80, 71, 68, 66, 69, 70, 65, 65, 78, 83, 
## 86, 80, 79, 80, 73, 71, 74, 77, 80, 80, 84, 81, 91, 88, 97, 101, 
## 102, 104, 103, 83, 86, 78, 86, 75, 74, 73, 77, 72, 72, 70, 74, 
## 73, 75, 68, 68, 70, 69, 66, 60, 70, 72, 75, 66, 63, 72, 64, 62, 
## 64, 62, 66, 65, 57, 63, 55, 53, 49, 51, 53, 51, 55, 50, 53, 54, 
## 50, 53, 49, 51, 51, 41, 31, 42, 38, 49, 39, 47, 47, 47, 46, 39, 
## 38, 42, 45, 40, 46, 47, 51, 44, 45, 50, 46, 41, 41, 41, 35, 35, 
## 26, 37, 37, 41, 55, 39, 41, 40, 36, 39, 32, 40, 32, 34, 41, 43, 
## 41, 38, 39, 38, 35, 37, 37, 39, 44, 46, 41, 53, 55, 46, 47, 53, 
## 46, 48, 46, 44, 47, 47, 46, 48, 45, 41, 38, 37, 31, 34, 44, 45, 
## 40, 46, 49, 48, 45, 47, 48, 45, 40, 38, 50, 52, 45, 44, 48, 44, 
## 52, 55, 54, 51, 48, 43, 49, 41, 40, 40, 40, 40, 40, 35, 40, 40, 
## 39, 43, 41, 39, 39, 41, 43, 49, 45, 52, 41, 37, 38, 40, 39, 32, 
## 36, 37, 37, 41, 39, 47, 48, 43, 44, 41, 47, 40, 38, 44, 42, 44, 
## 46, 52, 53, 52, 53, 57, 45, 53, 54, 55, 46, 51, 41, 42, 32, 32, 
## 35, 35, 27, 26, 32, 24, 27, 31, 33, 35, 31, 30, 31, 38, 28, 33, 
## 39, 38, 34, 33, 34, 33, 33, 40, 33, 39, 39, 32, 38, 30, 35, 34, 
## 35, 37, 36, 38, 38, 35, 37, 76, 85, 80, 89, 105, 122, 157, 170, 
## 210, 230, 268, 288, 328, 36, 44, 37, 46, 42, 42, 43, 35, 43, 
## 41, 47, 40, 37, 45, 36, 47, 40, 38, 37, 48, 50, 50, 49, 50, 55, 
## 55, 60, 61, 66, 61, 82, 87, 98, 94, 88, 59, 25, 20, 9, 0, 1, 
## -3, -9, 8, 14, 20, 29, 36, 35, 48, 88, 99, 92, 100, 111, 104, 
## 109, 101, 104, 92, 30, 22, 9, 5, 10, 13, 23, 30, 50, 70, 84, 
## 92, 100, 94, 103, 98, 94, 90, 79, 57, 45, 39, 33, 29, 26, 27, 
## 34, 33, 34, 31, 35, 39, 43, 52, 58, 70, 86, 93, 96, 89, 91, 110, 
## 119, 121, 108, 97, 67, 62, 50, 36, 32, 36, 47, 46, 54, 58, 67, 
## 102, 104, 105, 111, 112, 112, 115, 111, 83, 84, 59, 52, 36, 38, 
## 42, 37, 45, 43, 46, 64, 78, 81, 91, 94, 107, 103, 105, 104, 119, 
## 114, 119, 115, 124, 123, 119, 119, 107, 75, 56, 52, 50, 42, 38, 
## 29, 41, 42, 87, 92, 97, 103, 100, 107, 115, 116, 108, 105, 83, 
## 71, 71, 66, 34, 37, 38, 45, 38, 25, 28, 29, 27, 32, 50, 52, 53, 
## 59, 70, 74, 80, 71, 76, 89, 96, 92, 99, 75, 75, 68, 58, 37, 34, 
## 35, 28, 27, 52, 48, 44, 32, 40, 37, 43, 48, 48, 44, 38, 40, 41, 
## 48, 46, 46, 48, 46, 48, 44, 43, 44, 47, 44, 47, 50, 48, 46, 45, 
## 41, 50, 51, 58, 52, 54, 54, 50, 51, 191, 191, 196, 191, 193, 
## 191, 190, 187, 177, 167, 171, 163, 166, 163, 162, 160, 157, 158, 
## 147, 147, 149, 145, 144, 149, 151, 159, 161, 163, 176, 172, 176, 
## 176, 176, 169, 164, 170, 166, 162, 170, 174, 166, 166, 173, 166, 
## 172, 175, 189, 187, 186, 186, 185, 181, 173, 169, 159, 152, 149, 
## 154, 144, 134, 130, 129, 134, 133, 125, 129, 130, 140, 145, 147, 
## 149, 158, 169, 166, 173, 171, 175, 167, 172, 171, 174, 187, 190, 
## 181, 179, 180, 183, 186, 159, 158, 143, 143, 143, 136, 141, 140, 
## 145, 147, 154, 162, 163, 170, 179, 173, 175, 163, 173, 168, 168, 
## 169, 169, 167, 175, 170, 175, 180, 172, 183, 179, 186, 190, 190, 
## 167, 172, 171, 172, 169, 169, 166, 157, 151, 148, 143, 134, 130, 
## 131, 127, 130, 132, 128, 134, 129, 164, 166, 173, 180, 171, 174, 
## 171, 164, 167, 162, 167, 165, 153, 151, 146, 144, 147, 147, 158, 
## 162, 158, 157, 171, 175, 175, 175, 172, 177, 176, 189, 187, 181, 
## 184, 184, 182, 173, 175, 177, 173, 173, 174, 169, 173, 167, 161, 
## 161, 151, 157, 160, 158, 159, 152, 162, 168, 174, 179, 183, 184, 
## 183, 182, 175, 181, 176, 181, 168, 167, 167, 155, 159, 153, 151, 
## 146, 151, 156, 154, 156, 157, 158, 174, 177, 170, 173, 172, 176, 
## 173, 177, 175, 173, 167, 173, 172, 176, 172, 174, 173, 176, 172, 
## 182, 182, 176, 170, 167, 165, 159, 148, 152, 137, 145, 145, 148, 
## 148, 153, 157, 160, 170, 175, 175, 174, 182, 195, 196, 206, 190, 
## 198, 168, 176, 174, 183, 181, 185, 185, 185, 183, 187, 188, 189, 
## 198, 190, 186, 191, 184, 182, 185, 185, 184, 176, 186, 183, 189, 
## 191, 186, 192, 189, 182, 176, 178, 180, 174, 171, 178, 168, 177, 
## 181, 180, 188, 179, 171, 8, -5, -9, -17, -9, -16, -12, -4, -9, 
## -8, -3, -1, 6, 0, -8, -3, 9, 6, 14, 12, 13, 10, 6, -7, -8, -12, 
## -2, 1, 1, 5, 10, -1, 3, 3, -1, -2, -3, -6, 4, -3, -4, -5, 17, 
## 12, 5, 17, 15, 25, 20, 20, 9, 13, 3, 1, -4, 12, 19, 19, 13, 16, 
## -3, -10, -12, -10, -9, -6, -2, 2, -2, 4, 3, 8, 13, 21, 13, 7, 
## 0, 4, 1, 11, 13, 17, 18, 11, 14, 6, -16, -15, -17, -11, 2, -3, 
## -1, 9, 16, 21, 25, 33, 43, 41, 44, 42, 36, 33, 33, 30, 17, 13, 
## 0, -4, -3, 18, 20, 23, 25, 23, 16, -3, -5, -19, -12, -9, 17, 
## 12, 16, 22, 22, 12, 14, 11, 13, 7, 14, 4, 9, 5, 0, 3, 3, 2, 11, 
## 1, 9, 1, -1, 3, 8, -2, 8, 55, 51, 36, 35, 35, 42, 39, 32, 37, 
## 34, 32, 35, 37, 40, 38, 37, 41, 39, 49, 54, 49, 54, 52, 53, 52, 
## 50, 54, 53, 48, 55, 58, 51, 50, 31, 32, 29, 24, 27, 28, 31, 24, 
## 36, 33, 38, 38, 40, 41, 40, 43, 37, 44, 38, 39, 44, 42, 45, 44, 
## 41, 39, 43, 41, 39, 43, 34, 36, 44, 44, 48, 61, 74, 88, 91, 91, 
## 95, 102, 100, 106, 45, 49, 75, 80, 86, 82, 82, 84, 85, 87, 93, 
## 90, 100, 96, 83, 79, 61, 49, 53, 50, 42, 47, 47, 43, 45, 50, 
## 51, 52, 50, 48, 56, 51, 54, 33, 30, 42, 38, 36, 34, 36, 39, 41, 
## 32, 44, 43, 48, 54, 39, 39, 46, 47, 47, 44, 41, 33, 37, 46, 43, 
## 47, 45, 41, 43, 47, 40, 53, 52, 44, 43, 46, 39, 41, 48, 43, 39, 
## 46, 47, 1, 9, 17, 24, 20, 26, 25, 27, 26, 24, 25, 24, 15, 21, 
## 21, 21, 24, 16, 17, -2, 3, 3, 5, 6, 8, 2, 4, 2, -12, -12, -10, 
## -11, -2, 1, 0, 6, 1, 13, 11, 13, 10, 7, -5, -9, -10, -8, -2, 
## 1, -2, 2, 12, 4, 7, 1, -7, -12, -12, -12, -5, -10, -2, 7, 10, 
## 12, 19, 13, 17, 11, 2, 8, 3, -5, 0, 7, 15, 17, 19, 20, 27, 28, 
## 29, 22, 17, 12, 5, 8, -9, -7, -20, -24, -25, -24, -25, -17, -19, 
## -8, 0, 0, 12, 5, 5, 29, 25, 24, 29, 24, 24, 24, 22, 23, 14, 14, 
## 8, 9, 1, 1, -1, 3, 2, 7, 4, 6, 4, 8, 16, 11, 25, 18, 16, 22, 
## 18, 18, 13, 19, 15, 15, 18, 15, 464, 440, 422, 401, 405, 389, 
## 369, 174, 171, 173, 170, 178, 184, 191, 190, 192, 190, 194), 
##     magnet_belt_y = c(600, 604, 603, 609, 596, 602, 606, 598, 
##     600, 603, 604, 607, 606, 605, 601, 597, 593, 603, 602, 604, 
##     600, 606, 601, 600, 606, 599, 603, 601, 593, 597, 605, 599, 
##     596, 597, 598, 600, 606, 603, 609, 598, 601, 595, 601, 597, 
##     606, 602, 598, 602, 604, 597, 602, 597, 602, 601, 600, 608, 
##     601, 599, 605, 598, 604, 598, 598, 602, 606, 599, 596, 605, 
##     599, 607, 606, 600, 607, 604, 599, 612, 603, 606, 605, 605, 
##     604, 601, 603, 603, 603, 596, 610, 601, 605, 598, 607, 603, 
##     604, 620, 601, 612, 606, 604, 608, 610, 608, 559, 555, 567, 
##     559, 561, 568, 564, 555, 564, 566, 566, 565, 568, 561, 565, 
##     568, 563, 564, 567, 567, 565, 563, 567, 564, 564, 569, 563, 
##     565, 567, 573, 560, 569, 572, 567, 569, 567, 569, 567, 564, 
##     574, 562, 571, 570, 567, 571, 569, 567, 569, 563, 563, 573, 
##     565, 568, 569, 567, 567, 572, 583, 570, 578, 570, 572, 570, 
##     570, 568, 570, 565, 565, 572, 570, 574, 574, 575, 580, 576, 
##     571, 581, 572, 576, 569, 577, 576, 570, 578, 571, 567, 577, 
##     577, 584, 578, 580, 579, 585, 582, 579, 580, 579, 576, 577, 
##     580, 577, 581, 582, 578, 578, 582, 580, 580, 577, 577, 575, 
##     581, 577, 576, 576, 575, 582, 582, 584, 577, 577, 579, 576, 
##     570, 573, 582, 583, 579, 585, 582, 580, 582, 583, 586, 584, 
##     579, 580, 575, 578, 576, 570, 582, 583, 581, 579, 583, 585, 
##     586, 582, 583, 588, 584, 581, 586, 580, 576, 583, 570, 579, 
##     579, 578, 584, 582, 583, 581, 579, 577, 585, 577, 578, 580, 
##     580, 587, 576, 581, 580, 587, 578, 581, 586, 587, 580, 584, 
##     581, 579, 576, 576, 587, 585, 580, 589, 581, 581, 582, 584, 
##     581, 579, 580, 582, 589, 587, 580, 576, 578, 579, 583, 581, 
##     580, 576, 579, 577, 575, 577, 580, 584, 577, 582, 578, 581, 
##     579, 582, 577, 580, 583, 579, 585, 586, 583, 584, 576, 583, 
##     582, 589, 584, 582, 590, 589, 584, 584, 592, 584, 591, 582, 
##     580, 577, 582, 581, 586, 586, 586, 587, 586, 585, 582, 581, 
##     583, 583, 583, 586, 583, 583, 579, 575, 584, 581, 584, 582, 
##     583, 582, 587, 585, 584, 582, 591, 588, 586, 584, 587, 582, 
##     587, 583, 579, 584, 581, 583, 581, 583, 584, 580, 580, 584, 
##     582, 584, 585, 580, 582, 582, 585, 591, 585, 585, 584, 580, 
##     575, 578, 575, 575, 575, 579, 575, 582, 575, 577, 575, 574, 
##     579, 582, 588, 590, 579, 587, 583, 582, 582, 587, 587, 587, 
##     594, 583, 590, 583, 582, 582, 584, 588, 576, 580, 582, 579, 
##     578, 582, 583, 571, 579, 581, 582, 580, 583, 582, 581, 585, 
##     595, 584, 593, 582, 584, 590, 580, 584, 589, 580, 584, 587, 
##     592, 586, 596, 587, 589, 592, 585, 591, 587, 586, 587, 590, 
##     594, 587, 587, 593, 593, 593, 589, 589, 590, 595, 595, 596, 
##     595, 598, 588, 597, 596, 596, 595, 593, 594, 600, 597, 596, 
##     589, 591, 600, 592, 596, 594, 593, 598, 599, 588, 592, 591, 
##     593, 592, 595, 596, 596, 599, 594, 595, 594, 593, 599, 600, 
##     602, 595, 599, 601, 606, 597, 590, 592, 596, 598, 600, 599, 
##     593, 601, 597, 601, 601, 601, 600, 605, 604, 603, 598, 603, 
##     601, 600, 602, 599, 592, 600, 595, 601, 606, 603, 599, 610, 
##     604, 606, 601, 601, 603, 602, 607, 601, 606, 602, 598, 598, 
##     604, 604, 602, 604, 604, 605, 605, 605, 612, 602, 605, 612, 
##     607, 606, 604, 606, 596, 586, 595, 594, 583, 587, 591, 590, 
##     593, 588, 603, 612, 602, 605, 602, 605, 608, 602, 609, 607, 
##     605, 604, 602, 605, 601, 600, 610, 601, 606, 602, 601, 594, 
##     600, 596, 599, 599, 595, 596, 587, 588, 597, 584, 591, 600, 
##     593, 594, 588, 597, 595, 603, 604, 599, 607, 602, 606, 604, 
##     607, 601, 614, 598, 606, 601, 604, 608, 604, 608, 612, 606, 
##     606, 620, 615, 624, 616, 618, 615, 616, 616, 614, 616, 609, 
##     610, 615, 614, 618, 608, 613, 609, 612, 612, 615, 608, 615, 
##     611, 616, 613, 614, 610, 612, 610, 613, 602, 612, 610, 610, 
##     610, 611, 613, 612, 610, 606, 605, 612, 618, 608, 616, 610, 
##     610, 607, 610, 607, 616, 612, 613, 608, 615, 610, 608, 616, 
##     618, 613, 611, 613, 609, 607, 609, 612, 607, 609, 610, 610, 
##     617, 614, 610, 609, 606, 611, 613, 609, 612, 607, 609, 613, 
##     609, 607, 609, 610, 612, 605, 608, 613, 612, 616, 609, 608, 
##     606, 602, 612, 607, 614, 617, 612, 613, 612, 609, 609, 609, 
##     609, 610, 615, 610, 604, 610, 602, 607, 611, 614, 615, 615, 
##     606, 612, 610, 614, 611, 614, 621, 605, 618, 615, 614, 612, 
##     611, 613, 606, 610, 608, 609, 607, 613, 611, 610, 614, 615, 
##     607, 608, 605, 606, 609, 603, 617, 610, 614, 606, 607, 603, 
##     606, 608, 613, 608, 606, 614, 616, 607, 616, 613, 609, 604, 
##     610, 607, 615, 610, 615, 616, 616, 611, 613, 613, 609, 614, 
##     612, 598, 611, 612, 613, 608, 605, 603, 610, 607, 612, 613, 
##     604, 609, 606, 611, 606, 605, 607, 614, 615, 612, 603, 608, 
##     609, 604, 611, 612, 610, 611, 607, 605, 604, 610, 609, 608, 
##     611, 608, 607, 607, 613, 613, 606, 612, 607, 607, 606, 606, 
##     607, 612, 608, 602, 611, 610, 609, 613, 606, 603, 610, 610, 
##     611, 611, 611, 610, 608, 599, 606, 604, 606, 612, 604, 607, 
##     614, 607, 611, 604, 605, 606, 609, 603, 607, 606, 600, 610, 
##     612, 606, 609, 607, 601, 612, 608, 608, 608, 606, 608, 606, 
##     612, 610, 614, 609, 611, 613, 604, 613, 611, 613, 608, 610, 
##     614, 605, 606, 609, 609, 601, 611, 607, 606, 614, 607, 608, 
##     611, 611, 606, 612, 603, 611, 613, 610, 616, 606, 613, 613, 
##     569, 575, 579, 581, 583, 583, 576, 581, 575, 578, 587, 577, 
##     577, 579, 571, 571, 578, 573, 574, 575, 569, 570, 578, 575, 
##     575, 584, 578, 578, 573, 580, 579, 572, 579, 577, 577, 579, 
##     572, 570, 574, 576, 578, 575, 574, 574, 580, 574, 573, 573, 
##     576, 583, 574, 572, 579, 570, 567, 574, 572, 573, 570, 579, 
##     575, 570, 578, 576, 569, 576, 570, 565, 567, 566, 568, 560, 
##     566, 573, 579, 577, 580, 575, 572, 569, 579, 568, 570, 575, 
##     570, 567, 566, 564, 571, 559, 576, 571, 570, 569, 574, 568, 
##     574, 579, 569, 566, 577, 578, 569, 569, 579, 575, 568, 565, 
##     574, 563, 571, 566, 564, 573, 564, 565, 571, 577, 569, 571, 
##     565, 581, 576, 574, 576, 575, 575, 575, 574, 578, 575, 568, 
##     565, 574, 577, 572, 567, 573, 570, 570, 569, 571, 581, 571, 
##     569, 575, 576, 577, 580, 575, 578, 581, 581, 573, 574, 570, 
##     571, 575, 566, 570, 566, 571, 572, 568, 577, 570, 577, 574, 
##     580, 574, 574, 572, 569, 569, 575, 569, 570, 578, 582, 576, 
##     577, 580, 577, 580, 574, 574, 570, 563, 572, 564, 566, 576, 
##     564, 571, 575, 577, 582, 579, 580, 574, 571, 569, 574, 572, 
##     576, 570, 568, 570, 568, 575, 568, 568, 575, 561, 570, 571, 
##     569, 575, 571, 574, 575, 577, 572, 566, 572, 572, 569, 567, 
##     567, 567, 572, 567, 567, 570, 570, 574, 575, 566, 565, 569, 
##     576, 581, 575, 575, 574, 572, 570, 570, 571, 574, 575, 571, 
##     575, 574, 571, 567, 578, 574, 575, 573, 572, 574, 564, 576, 
##     578, 583, 579, 581, 573, 568, 574, 565, 571, 570, 566, 570, 
##     566, 569, 572, 570, 570, 573, 570, 576, 576, 571, 573, 579, 
##     577, 575, 571, 570, 568, 570, 570, 570, 568, 574, 578, 575, 
##     574, 575, 574, 572, 565, 570, 572, 571, 571, 571, 567, 574, 
##     575, 572, 569, 572, 579, 576, 570, 574, 570, 574, 573, 566, 
##     574, 576, 570, 569, 567, 575, 563, 571, 567, 564, 565, 562, 
##     571, 569, 570, 569, 562, 566, 563, 559, 566, 554, 563, 567, 
##     566, 565, 563, 572, 571, 575, 572, 570, 569, 561, 562, 559, 
##     569, 566, 557, 565, 560, 564, 561, 566, 567, 573, 573, 569, 
##     566, 629, 640, 630, 634, 639, 634, 637, 635, 637, 631, 630, 
##     635, 639, 630, 631, 632, 630, 635, 639, 640, 636, 637, 630, 
##     634, 638, 635, 642, 633, 637, 639, 627, 637, 635, 638, 631, 
##     631, 631, 630, 630, 634, 642, 639, 637, 637, 632, 635, 636, 
##     633, 635, 629, 633, 632, 629, 628, 631, 630, 634, 632, 632, 
##     634, 633, 634, 632, 628, 627, 631, 628, 624, 634, 630, 636, 
##     633, 632, 631, 632, 634, 637, 634, 633, 632, 631, 632, 635, 
##     634, 628, 637, 636, 639, 630, 639, 632, 628, 640, 636, 638, 
##     634, 632, 635, 638, 637, 630, 635, 633, 629, 633, 634, 636, 
##     641, 633, 638, 636, 637, 633, 634, 639, 635, 634, 641, 637, 
##     634, 633, 634, 629, 636, 640, 628, 632, 633, 633, 644, 638, 
##     633, 634, 635, 639, 630, 633, 631, 633, 634, 637, 632, 632, 
##     630, 632, 633, 635, 637, 633, 638, 630, 643, 635, 638, 635, 
##     637, 633, 634, 636, 636, 638, 634, 638, 635, 640, 640, 636, 
##     633, 635, 640, 642, 639, 637, 635, 632, 642, 637, 636, 638, 
##     639, 633, 641, 633, 634, 630, 634, 634, 632, 633, 632, 635, 
##     636, 632, 638, 638, 632, 630, 640, 634, 633, 639, 633, 643, 
##     633, 636, 637, 640, 634, 635, 628, 636, 639, 609, 609, 613, 
##     609, 611, 606, 606, 605, 609, 599, 604, 600, 605, 605, 607, 
##     604, 605, 601, 607, 606, 603, 608, 609, 607, 601, 603, 608, 
##     611, 606, 607, 608, 607, 601, 601, 609, 610, 605, 604, 609, 
##     608, 602, 612, 605, 604, 601, 601, 601, 608, 599, 600, 606, 
##     605, 606, 601, 603, 608, 602, 602, 604, 601, 603, 597, 605, 
##     604, 597, 603, 607, 612, 602, 599, 609, 600, 604, 607, 597, 
##     600, 603, 599, 601, 607, 606, 601, 601, 606, 600, 607, 607, 
##     602, 607, 600, 599, 608, 603, 605, 611, 598, 606, 603, 602, 
##     605, 601, 600, 604, 604, 596, 601, 605, 601, 605, 601, 600, 
##     605, 603, 602, 602, 603, 606, 600, 606, 612, 600, 603, 596, 
##     602, 602, 592, 596, 601, 609, 603, 594, 606, 607, 610, 605, 
##     607, 605, 607, 603, 605, 613, 602, 601, 609, 606, 605, 602, 
##     605, 605, 603, 600, 603, 602, 600, 604, 599, 604, 605, 608, 
##     597, 607, 608, 604, 602, 613, 600, 602, 607, 604, 607, 607, 
##     607, 601, 609, 603, 613, 605, 606, 609, 602, 609, 606, 601, 
##     607, 604, 603, 602, 598, 609, 607, 599, 600, 605, 600, 601, 
##     599, 602, 604, 613, 604, 602, 601, 604, 609, 600, 604, 606, 
##     603, 611, 607, 606, 611, 605, 601, 603, 602, 610, 610, 605, 
##     604, 612, 606, 603, 603, 604, 607, 605, 604, 602, 601, 602, 
##     608, 601, 606, 603, 605, 607, 608, 606, 610, 616, 609, 605, 
##     603, 610, 606, 606, 607, 602, 607, 601, 608, 608, 607, 602, 
##     603, 607, 607, 596, 601, 608, 604, 608, 608, 607, 601, 602, 
##     605, 604, 605, 608, 602, 611, 605, 609, 600, 600, 601, 606, 
##     607, 608, 605, 604, 600, 608, 606, 605, 612, 608, 603, 606, 
##     609, 607, 608, 600, 602, 602, 606, 603, 611, 610, 601, 599, 
##     604, 598, 598, 615, 606, 609, 605, 606, 607, 600, 606, 607, 
##     604, 606, 611, 608, 599, 607, 602, 607, 600, 608, 611, 611, 
##     605, 609, 608, 610, 612, 600, 615, 612, 609, 602, 608, 603, 
##     609, 611, 606, 598, 611, 605, 610, 611, 611, 604, 606, 606, 
##     606, 617, 606, 606, 596, 611, 603, 605, 604, 612, 612, 606, 
##     611, 605, 609, 603, 611, 608, 607, 603, 611, 605, 604, 606, 
##     634, 633, 639, 633, 631, 635, 637, 641, 639, 644, 634, 639, 
##     638, 634, 637, 636, 637, 631, 636, 636, 640, 643, 636, 632, 
##     639, 632, 642, 639, 639, 638, 639, 632, 640, 638, 633, 638, 
##     631, 636, 638, 637, 636, 640, 634, 638, 634, 640, 635, 633, 
##     638, 631, 635, 635, 642, 640, 635, 636, 632, 635, 645, 633, 
##     637, 638, 639, 639, 634, 636, 637, 638, 633, 636, 635, 639, 
##     633, 636, 646, 629, 639, 639, 642, 638, 635, 635, 642, 645, 
##     642, 642, 639, 631, 642, 630, 645, 642, 636, 633, 641, 632, 
##     632, 632, 636, 636, 637, 635, 629, 634, 635, 632, 635, 637, 
##     633, 634, 638, 641, 638, 637, 633, 634, 632, 637, 635, 624, 
##     634, 630, 633, 632, 631, 629, 629, 634, 632, 637, 630, 635, 
##     634, 630, 634, 631, 631, 629, 631, 630, 629, 629, 633, 634, 
##     624, 628, 634, 627, 632, 627, 624, 628, 632, 628, 631, 633, 
##     627, 631, 628, 633, 634, 631, 631, 631, 623, 632, 627, 626, 
##     626, 624, 630, 631, 625, 625, 633, 627, 631, 629, 623, 628, 
##     625, 625, 630, 633, 628, 630, 631, 624, 633, 637, 628, 631, 
##     626, 638, 632, 630, 632, 635, 629, 622, 633, 628, 625, 621, 
##     632, 624, 632, 624, 629, 632, 628, 628, 627, 633, 631, 621, 
##     623, 626, 623, 628, 631, 629, 633, 623, 630, 623, 628, 632, 
##     637, 631, 631, 627, 629, 628, 633, 624, 631, 624, 628, 626, 
##     626, 632, 634, 622, 623, 634, 620, 623, 624, 623, 623, 631, 
##     628, 626, 621, 630, 624, 631, 627, 631, 631, 631, 629, 632, 
##     626, 631, 624, 627, 620, 624, 626, 626, 634, 635, 624, 627, 
##     629, 629, 628, 629, 628, 622, 628, 628, 624, 632, 628, 634, 
##     632, 632, 626, 628, 625, 626, 628, 631, 632, 636, 633, 629, 
##     629, 631, 630, 623, 625, 625, 623, 625, 624, 626, 628, 627, 
##     635, 635, 635, 638, 627, 631, 631, 637, 628, 639, 625, 634, 
##     634, 630, 634, 632, 632, 623, 633, 632, 634, 637, 632, 636, 
##     638, 639, 641, 645, 636, 644, 644, 633, 641, 644, 634, 631, 
##     636, 635, 634, 639, 637, 634, 633, 634, 635, 633, 638, 631, 
##     631, 632, 635, 639, 632, 630, 631, 632, 631, 633, 638, 629, 
##     631, 633, 638, 640, 633, 632, 631, 632, 631, 631, 637, 630, 
##     627, 632, 634, 630, 631, 627, 633, 634, 629, 634, 628, 629, 
##     636, 631, 623, 630, 632, 639, 643, 638, 636, 638, 636, 632, 
##     628, 627, 628, 628, 635, 628, 628, 628, 626, 625, 630, 628, 
##     629, 626, 630, 632, 631, 628, 631, 626, 627, 628, 630, 625, 
##     632, 623, 632, 629, 635, 630, 630, 629, 633, 636, 631, 628, 
##     628, 633, 632, 630, 631, 634, 627, 637, 626, 631, 623, 637, 
##     628, 633, 631, 635, 632, 623, 628, 636, 630, 634, 632, 576, 
##     578, 582, 580, 576, 576, 581, 574, 575, 575, 575, 577, 576, 
##     578, 571, 582, 581, 576, 575, 577, 579, 580, 571, 580, 576, 
##     609, 613, 611, 609, 605, 609, 607, 610, 604, 604, 613, 613, 
##     607, 607, 619, 613, 607, 612, 603, 600, 601, 602, 607, 608, 
##     611, 606, 606, 610, 606, 609, 611, 607, 599, 614, 613, 606, 
##     610, 610, 610, 606, 608, 611, 607, 603, 611, 613, 613, 611, 
##     606, 609, 614, 616, 614, 621, 608, 612, 612, 613, 614, 615, 
##     601, 616, 608, 617, 611, 611, 610, 613, 609, 610, 611, 612, 
##     611, 609, 613, 612, 604, 607, 609, 616, 606, 613, 612, 613, 
##     609, 606, 612, 605, 614, 616, 610, 611, 610, 613, 614, 611, 
##     616, 609, 587, 583, 593, 584, 585, 580, 586, 584, 590, 588, 
##     583, 594, 575, 580, 582, 584, 615, 618, 607, 609, 615, 607, 
##     602, 601, 601, 595, 612, 601, 602, 593, 605, 595, 606, 612, 
##     600, 603, 605, 607, 611, 605, 609, 607, 601, 601, 612, 603, 
##     603, 600, 594, 587, 590, 596, 598, 600, 598, 600, 597, 604, 
##     607, 601, 602, 596, 601, 602, 600, 601, 602, 601, 603, 600, 
##     606, 601, 606, 605, 610, 600, 608, 605, 603, 617, 608, 612, 
##     612, 613, 609, 612, 614, 611, 606, 612, 606, 609, 604, 608, 
##     615, 606, 611, 602, 609, 613, 613, 612, 610, 607, 606, 604, 
##     612, 602, 601, 609, 607, 607, 605, 598, 603, 605, 600, 601, 
##     600, 608, 598, 594, 599, 602, 595, 601, 602, 611, 604, 609, 
##     606, 602, 605, 607, 610, 602, 605, 605, 601, 606, 599, 601, 
##     603, 600, 604, 607, 608, 607, 607, 604, 606, 604, 604, 603, 
##     598, 609, 607, 601, 597, 600, 603, 608, 601, 598, 602, 607, 
##     609, 611, 602, 611, 599, 599, 609, 603, 602, 602, 611, 604, 
##     611, 601, 605, 603, 599, 607, 605, 607, 599, 600, 604, 599, 
##     604, 607, 600, 603, 607, 600, 607, 606, 603, 602, 602, 605, 
##     600, 607, 601, 601, 599, 597, 600, 601, 591, 605, 604, 599, 
##     601, 602, 604, 603, 601, 600, 605, 604, 599, 597, 603, 600, 
##     602, 605, 603, 596, 597, 601, 598, 602, 601, 602, 603, 602, 
##     606, 603, 598, 605, 603, 602, 600, 605, 603, 604, 598, 593, 
##     604, 599, 603, 604, 599, 595, 601, 594, 601, 603, 595, 595, 
##     600, 594, 598, 593, 597, 599, 602, 605, 600, 603, 600, 602, 
##     599, 604, 602, 599, 601, 597, 598, 603, 599, 595, 588, 595, 
##     595, 601, 593, 602, 604, 598, 604, 601, 595, 596, 596, 597, 
##     594, 596, 588, 596, 596, 596, 591, 595, 599, 602, 597, 600, 
##     599, 602, 602, 600, 600, 603, 597, 597, 598, 595, 598, 601, 
##     594, 602, 602, 605, 602, 608, 599, 604, 603, 599, 604, 600, 
##     600, 605, 607, 606, 603, 607, 604, 609, 609, 602, 606, 605, 
##     611, 612, 604, 612, 614, 612, 605, 615, 609, 607, 609, 607, 
##     607, 599, 600, 603, 605, 602, 602, 601, 605, 597, 604, 612, 
##     606, 602, 602, 596, 599, 600, 607, 604, 597, 609, 603, 601, 
##     600, 604, 600, 601, 596, 601, 605, 600, 597, 602, 601, 596, 
##     599, 609, 594, 599, 606, 602, 600, 600, 599, 598, 595, 594, 
##     596, 603, 600, 599, 599, 599, 595, 599, 605, 600, 600, 597, 
##     601, 605, 598, 601, 598, 601, 600, 602, 600, 601, 594, 601, 
##     599, 604, 600, 605, 611, 603, 603, 612, 615, 611, 615, 611, 
##     615, 611, 607, 613, 603, 614, 611, 614, 612, 610, 607, 611, 
##     611, 613, 602, 607, 608, 603, 607, 609, 607, 606, 602, 605, 
##     608, 603, 605, 602, 601, 606, 605, 607, 605, 608, 611, 601, 
##     611, 602, 612, 600, 605, 606, 606, 609, 604, 603, 605, 606, 
##     606, 611, 596, 605, 597, 600, 599, 603, 608, 608, 602, 609, 
##     603, 601, 606, 612, 604, 599, 597, 595, 598, 599, 599, 600, 
##     603, 599, 597, 596, 598, 597, 591, 604, 594, 603, 606, 599, 
##     601, 596, 605, 604, 602, 599, 598, 601, 605, 603, 604, 598, 
##     610, 602, 607, 606, 599, 601, 608, 602, 608, 609, 614, 606, 
##     608, 609, 608, 606, 600, 609, 602, 611, 610, 606, 597, 603, 
##     604, 602, 611, 613, 613, 612, 611, 612, 613, 614, 609, 602, 
##     607, 583, 584, 577, 589, 588, 582, 596, 588, 598, 602, 607, 
##     611, 610, 634, 630, 632, 630, 630, 633, 637, 627, 632, 634, 
##     633, 631, 632, 631, 637, 625, 637, 633, 634, 640, 634, 634, 
##     639, 634, 631, 633, 632, 635, 629, 630, 638, 633, 636, 630, 
##     635, 633, 576, 567, 573, 577, 572, 570, 572, 571, 572, 572, 
##     578, 566, 572, 576, 573, 566, 570, 566, 570, 578, 582, 575, 
##     574, 582, 575, 573, 578, 577, 569, 576, 571, 570, 563, 573, 
##     581, 576, 573, 574, 572, 573, 570, 573, 574, 569, 567, 569, 
##     568, 574, 570, 571, 565, 570, 572, 576, 576, 568, 565, 567, 
##     575, 569, 571, 578, 579, 576, 582, 578, 574, 573, 572, 569, 
##     574, 581, 570, 570, 581, 573, 578, 574, 579, 583, 577, 579, 
##     575, 583, 583, 579, 575, 575, 581, 576, 584, 580, 578, 578, 
##     580, 583, 592, 587, 583, 584, 581, 584, 586, 578, 575, 575, 
##     575, 580, 576, 577, 571, 575, 577, 581, 579, 580, 578, 579, 
##     575, 576, 579, 578, 575, 581, 576, 582, 582, 580, 580, 581, 
##     581, 576, 574, 582, 581, 584, 591, 583, 591, 586, 589, 585, 
##     584, 585, 580, 586, 589, 582, 578, 580, 581, 586, 583, 584, 
##     586, 588, 583, 584, 580, 578, 587, 594, 581, 580, 580, 582, 
##     580, 581, 580, 577, 583, 581, 581, 583, 580, 582, 582, 576, 
##     581, 582, 579, 579, 583, 582, 576, 583, 581, 581, 565, 567, 
##     603, 604, 601, 610, 607, 606, 605, 612, 610, 611, 609, 612, 
##     614, 608, 603, 610, 576, 581, 582, 572, 584, 577, 575, 578, 
##     573, 576, 576, 580, 577, 581, 575, 580, 576, 579, 580, 576, 
##     580, 584, 574, 582, 581, 584, 583, 579, 585, 584, 586, 585, 
##     584, 578, 582, 586, 579, 587, 580, 583, 582, 587, 587, 588, 
##     586, 588, 582, 590, 585, 584, 587, 583, 582, 580, 582, 579, 
##     584, 584, 582, 583, 580, 581, 582, 586, 585, 584, 584, 584, 
##     580, 580, 575, 577, 585, 581, 580, 588, 586, 585, 585, 584, 
##     589, 591, 592, 587, 588, 590, 583, 592, 589, 589, 582, 577, 
##     587, 583, 578, 585, 579, 584, 577, 588, 583, 582, 578, 586, 
##     584, 587, 599, 588, 594, 593, 588, 590, 591, 586, 587, 585, 
##     594, 586, 583, 593, 580, 591, 585, 579, 582, 580, 587, 588, 
##     582, 594, 589, 590, 594, 586, 584, 590, 585, 590, 588, 588, 
##     583, 585, 591, 592, 583, 590, 585, 594, 585, 584, 581, 593, 
##     590, 585, 583, 581, 582, 583, 586, 587, 588, 579, 582, 585, 
##     586, 585, 579, 586, 584, 587, 589, 591, 590, 591, 589, 594, 
##     591, 586, 593, 586, 591, 588, 586, 585, 591, 591, 592, 590, 
##     589, 588, 583, 584, 588, 590, 585, 576, 587, 591, 581, 582, 
##     589, 586, 586, 585, 578, 587, 585, 595, 584, 591, 592, 594, 
##     593, 596, 585, 584, 585, 591, 589, 583, 591, 582, 591, 587, 
##     587, 591, 592, 589, 587, 584, 586, 577, 578, 582, 580, 583, 
##     582, 581, 584, 583, 591, 589, 590, 588, 582, 589, 580, 584, 
##     606, 565, 570, 566, 570, 567, 561, 571, 573, 568, 570, 567, 
##     566, 563, 563, 569, 563, 562, 557, 561, 562, 555, 554, 565, 
##     559, 562, 567, 558, 565, 571, 573, 568, 564, 572, 565, 572, 
##     568, 569, 571, 572, 571, 576, 574, 569, 571, 567, 560, 566, 
##     559, 568, 567, 572, 561, 562, 563, 563, 562, 566, 560, 569, 
##     568, 563, 563, 571, 565, 559, 572, 562, 569, 570, 572, 570, 
##     562, 565, 560, 567, 558, 563, 562, 556, 560, 559, 562, 559, 
##     561, 563, 568, 562, 562, 564, 564, 556, 570, 567, 563, 565, 
##     564, 565, 565, 568, 566, 567, 566, 569, 567, 570, 566, 563, 
##     567, 565, 567, 554, 568, 564, 561, 568, 567, 568, 583, 570, 
##     577, 577, 577, 575, 568, 564, 566, 562, 563, 569, 562, 563, 
##     565, 568, 567, 569, 567, 565, 567, 561, 565, 566, 563, 568, 
##     569, 567, 566, 570, 567, 573, 574, 571, 566, 565, 566, 574, 
##     564, 566, 556, 563, 557, 559, 566, 560, 551, 559, 569, 565, 
##     565, 561, 566, 567, 570, 564, 573, 564, 560, 563, 565, 566, 
##     565, 567, 565, 564, 560, 569, 566, 567, 579, 576, 569, 574, 
##     567, 572, 562, 569, 567, 569, 566, 557, 566, 570, 564, 563, 
##     568, 567, 566, 567, 565, 571, 575, 568, 569, 559, 573, 571, 
##     571, 572, 578, 570, 570, 575, 577, 575, 575, 571, 571, 569, 
##     568, 568, 563, 571, 563, 566, 559, 564, 562, 558, 565, 569, 
##     564, 564, 567, 567, 575, 580, 574, 566, 574, 575, 565, 574, 
##     571, 570, 567, 560, 558, 564, 568, 565, 563, 568, 572, 568, 
##     572, 569, 567, 561, 567, 557, 565, 561, 565, 566, 566, 570, 
##     567, 567, 569, 612, 610, 607, 608, 611, 607, 610, 604, 605, 
##     611, 607, 610, 608, 608, 606, 610, 611, 607, 611, 612, 612, 
##     607, 610, 604, 609, 609, 610, 614, 608, 604, 605, 608, 607, 
##     604, 613, 610, 608, 605, 604, 612, 607, 607, 600, 598, 612, 
##     610, 610, 600, 613, 609, 610, 611, 606, 607, 605, 604, 600, 
##     604, 603, 607, 606, 605, 602, 603, 602, 608, 602, 604, 611, 
##     607, 604, 606, 606, 608, 603, 607, 603, 607, 602, 602, 599, 
##     609, 608, 601, 606, 603, 609, 599, 604, 605, 601, 601, 602, 
##     602, 612, 606, 602, 610, 605, 613, 608, 607, 602, 607, 603, 
##     610, 605, 607, 614, 609, 606, 612, 601, 611, 606, 606, 606, 
##     605, 614, 603, 602, 607, 606, 612, 602, 604, 610, 603, 603, 
##     599, 603, 607, 603, 598, 594, 604, 602, 599, 603, 601, 601, 
##     603, 607, 602, 604, 602, 602, 608, 612, 608, 614, 605, 605, 
##     608, 610, 607, 604, 603, 600, 600, 603, 602, 605, 602, 608, 
##     603, 602, 604, 600, 605, 607, 602, 611, 605, 614, 605, 619, 
##     607, 607, 606, 606, 606, 603, 603, 607, 604, 606, 606, 604, 
##     601, 601, 598, 602, 599, 603, 598, 607, 600, 611, 606, 613, 
##     610, 603, 603, 604, 608, 609, 606, 606, 600, 604, 619, 608, 
##     608, 607, 606, 610, 603, 605, 615, 601, 609, 602, 606, 605, 
##     608, 608, 606, 600, 603, 607, 605, 604, 597, 597, 600, 600, 
##     598, 601, 603, 604, 600, 600, 600, 597, 603, 600, 601, 599, 
##     591, 599, 603, 603, 602, 605, 602, 603, 599, 603, 605, 602, 
##     607, 602, 607, 610, 608, 609, 607, 608, 612, 607, 611, 611, 
##     599, 602, 601, 601, 604, 607, 634, 636, 631, 630, 633, 627, 
##     625, 632, 627, 630, 632, 628, 631, 627, 631, 631, 620, 626, 
##     631, 631, 636, 635, 624, 632, 629, 631, 631, 633, 628, 633, 
##     629, 627, 632, 634, 638, 631, 628, 634, 635, 631, 631, 628, 
##     630, 630, 632, 632, 630, 634, 624, 627, 633, 627, 633, 637, 
##     639, 632, 633, 630, 624, 627, 628, 629, 627, 631, 629, 627, 
##     628, 631, 629, 631, 633, 632, 632, 634, 629, 631, 630, 633, 
##     630, 625, 629, 633, 626, 628, 631, 629, 629, 627, 635, 626, 
##     634, 630, 629, 630, 631, 636, 634, 628, 631, 628, 626, 626, 
##     634, 630, 630, 634, 631, 633, 626, 625, 626, 626, 627, 627, 
##     630, 631, 628, 634, 632, 626, 623, 623, 628, 632, 630, 625, 
##     628, 628, 628, 625, 634, 632, 627, 625, 630, 630, 629, 618, 
##     628, 628, 624, 629, 626, 634, 631, 635, 631, 627, 628, 629, 
##     637, 630, 625, 631, 627, 619, 623, 622, 629, 626, 638, 624, 
##     625, 618, 622, 632, 624, 614, 619, 621, 622, 615, 626, 620, 
##     627, 628, 624, 623, 630, 623, 624, 627, 626, 622, 624, 629, 
##     626, 628, 623, 629, 631, 629, 632, 623, 630, 629, 632, 626, 
##     631, 637, 638, 633, 636, 638, 639, 638, 636, 635, 640, 638, 
##     634, 602, 601, 603, 611, 603, 602, 598, 605, 603, 604, 602, 
##     606, 603, 600, 605, 605, 604, 610, 602, 602, 604, 598, 607, 
##     607, 606, 611, 602, 606, 602, 608, 606, 609, 602, 604, 603, 
##     606, 608, 606, 606, 609, 608, 612, 607, 604, 602, 602, 605, 
##     609, 611, 610, 607, 610, 603, 610, 602, 609, 602, 604, 609, 
##     605, 605, 604, 604, 608, 599, 608, 612, 602, 600, 599, 600, 
##     603, 604, 606, 611, 606, 610, 603, 602, 603, 607, 608, 607, 
##     611, 601, 601, 601, 610, 607, 610, 610, 604, 604, 611, 599, 
##     606, 608, 607, 608, 606, 609, 611, 603, 608, 607, 607, 607, 
##     603, 602, 606, 608, 599, 612, 604, 598, 604, 604, 606, 609, 
##     602, 606, 611, 601, 601, 606, 608, 601, 603, 612, 610, 607, 
##     603, 609, 611, 610, 610, 610, 614, 612, 604, 611, 610, 611, 
##     610, 609, 603, 610, 607, 608, 613, 601, 602, 603, 609, 608, 
##     602, 608, 603, 608, 606, 605, 610, 611, 601, 605, 603, 602, 
##     605, 605, 611, 611, 607, 610, 602, 601, 607, 602, 602, 609, 
##     608, 609, 608, 602, 598, 609, 614, 604, 610, 607, 610, 612, 
##     607, 609, 612, 603, 610, 610, 610, 612, 615, 614, 607, 610, 
##     604, 600, 604, 607, 607, 604, 609, 610, 607, 602, 603, 606, 
##     598, 608, 609, 608, 608, 602, 615, 605, 611, 600, 606, 600, 
##     602, 602, 606, 609, 608, 605, 612, 608, 607, 606, 606, 605, 
##     607, 608, 613, 605, 604, 609, 605, 606, 599, 605, 598, 607, 
##     607, 607, 600, 604, 606, 600, 607, 598, 606, 604, 599, 591, 
##     596, 595, 596, 592, 592, 588, 589, 591, 596, 594, 592, 588, 
##     591, 590, 595, 597, 597, 598, 591, 602, 604, 608, 608, 602, 
##     607, 608, 600, 603, 600, 606, 602, 602, 606, 604, 600, 597, 
##     606, 596, 601, 599, 603, 599, 593, 596, 596, 601, 606, 603, 
##     606, 613, 607, 613, 600, 603, 606, 612, 604, 603, 611, 611, 
##     606, 602, 608, 607, 611, 606, 614, 604, 604, 611, 611, 608, 
##     603, 604, 602, 606, 602, 613, 607, 618, 602, 612, 601, 606, 
##     603, 606, 607, 603, 605, 607, 605, 601, 605, 604, 606, 604, 
##     598, 604, 600, 609, 613, 604, 602, 600, 603, 606, 602, 606, 
##     609, 607, 609, 603, 602, 606, 604, 612, 597, 604, 609, 607, 
##     611, 600, 604, 613, 607, 611, 610, 603, 607, 610, 601, 600, 
##     606, 603, 607, 607, 609, 611, 607, 612, 603, 616, 607, 609, 
##     605, 607, 612, 598, 608, 607, 602, 602, 604, 610, 601, 612, 
##     608, 608, 611, 602, 604, 604, 608, 602, 602, 605, 607, 602, 
##     617, 605, 607, 608, 607, 610, 612, 615, 608, 615, 615, 607, 
##     610, 615, 611, 613, 603, 612, 606, 605, 607, 604, 609, 601, 
##     610, 603, 610, 609, 605, 609, 603, 607, 607, 606, 603, 594, 
##     606, 602, 608, 600, 608, 611, 604, 600, 600, 606, 613, 610, 
##     602, 602, 607, 602, 606, 608, 607, 603, 608, 606, 605, 614, 
##     609, 610, 615, 605, 612, 601, 607, 606, 606, 606, 606, 606, 
##     603, 606, 602, 606, 603, 601, 608, 603, 607, 600, 603, 602, 
##     605, 607, 607, 605, 601, 600, 600, 612, 604, 606, 603, 608, 
##     606, 610, 612, 610, 600, 602, 610, 602, 601, 607, 598, 602, 
##     608, 604, 609, 600, 603, 607, 600, 605, 600, 603, 603, 607, 
##     603, 604, 608, 606, 602, 598, 599, 601, 606, 609, 606, 598, 
##     607, 607, 603, 604, 602, 601, 607, 595, 600, 600, 601, 606, 
##     602, 599, 606, 598, 600, 612, 605, 612, 606, 602, 611, 601, 
##     615, 604, 602, 612, 608, 607, 608, 604, 613, 612, 611, 607, 
##     602, 607, 609, 606, 610, 613, 615, 608, 608, 609, 612, 602, 
##     608, 602, 608, 608, 605, 604, 600, 609, 610, 602, 602, 602, 
##     602, 604, 607, 604, 607, 614, 606, 607, 606, 607, 605, 612, 
##     606, 606, 603, 606, 604, 601, 606, 606, 607, 606, 607, 600, 
##     604, 601, 604, 602, 605, 607, 605, 604, 604, 600, 607, 603, 
##     606, 610, 607, 604, 606, 610, 604, 603, 612, 607, 602, 605, 
##     609, 599, 604, 602, 602, 600, 602, 599, 600, 603, 605, 599, 
##     598, 610, 604, 602, 597, 598, 598, 598, 602, 600, 606, 605, 
##     598, 601, 602, 606, 607, 600, 602, 600, 598, 604, 601, 607, 
##     603, 604, 602, 605, 602, 603, 600, 600, 595, 601, 604, 603, 
##     604, 602, 602, 604, 601, 597, 599, 599, 597, 601, 597, 604, 
##     588, 596, 594, 602, 595, 605, 599, 606, 605, 600, 606, 604, 
##     602, 598, 608, 609, 606, 605, 597, 598, 604, 605, 599, 599, 
##     599, 600, 599, 596, 595, 601, 599, 597, 596, 598, 602, 597, 
##     593, 596, 601, 597, 598, 607, 595, 598, 597, 597, 596, 598, 
##     598, 602, 601, 599, 596, 606, 606, 599, 603, 604, 601, 606, 
##     601, 603, 601, 601, 605, 602, 605, 611, 608, 611, 613, 606, 
##     602, 606, 614, 609, 601, 602, 605, 613, 597, 614, 609, 612, 
##     608, 606, 602, 611, 603, 602, 600, 602, 607, 606, 603, 605, 
##     604, 598, 598, 602, 606, 600, 601, 607, 601, 600, 606, 599, 
##     600, 603, 609, 606, 602, 600, 603, 607, 607, 601, 600, 599, 
##     604, 601, 611, 604, 601, 606, 602, 603, 603, 606, 609, 598, 
##     601, 600, 603, 610, 601, 602, 592, 605, 607, 602, 607, 599, 
##     602, 610, 601, 603, 608, 603, 603, 606, 604, 609, 605, 602, 
##     600, 598, 593, 606, 607, 599, 602, 601, 601, 599, 602, 607, 
##     603, 604, 605, 603, 600, 604, 599, 600, 606, 606, 603, 610, 
##     606, 608, 605, 607, 612, 611, 613, 609, 603, 608, 612, 606, 
##     605, 600, 610, 602, 602, 604, 610, 599, 607, 607, 631, 628, 
##     638, 632, 643, 637, 633, 631, 636, 634, 631, 626, 625, 628, 
##     620, 628, 633, 623, 630, 639, 630, 639, 633, 632, 631, 642, 
##     630, 632, 628, 635, 624, 627, 627, 633, 625, 623, 630, 619, 
##     624, 623, 626, 631, 629, 635, 631, 634, 629, 629, 625, 632, 
##     633, 631, 629, 631, 629, 630, 625, 639, 634, 632, 633, 627, 
##     629, 626, 634, 630, 631, 632, 630, 630, 632, 629, 629, 634, 
##     633, 626, 631, 569, 576, 579, 571, 566, 569, 571, 567, 567, 
##     574, 571, 574, 569, 570, 567, 568, 561, 568, 567, 573, 563, 
##     574, 562, 567, 562, 568, 569, 565, 569, 560, 559, 561, 558, 
##     561, 569, 576, 570, 566, 570, 568, 568, 568, 569, 567, 566, 
##     560, 562, 565, 574, 574, 568, 571, 564, 565, 572, 568, 567, 
##     576, 571, 568, 565, 567, 569, 573, 565, 565, 563, 568, 565, 
##     567, 559, 567, 567, 573, 575, 574, 566, 577, 572, 575, 572, 
##     576, 568, 567, 567, 577, 571, 570, 569, 586, 588, 593, 579, 
##     585, 584, 583, 582, 575, 576, 581, 583, 585, 584, 593, 584, 
##     582, 583, 586, 588, 591, 583, 590, 586, 574, 580, 579, 583, 
##     586, 587, 589, 601, 602, 599, 596, 606, 597, 604, 595, 605, 
##     605, 598, 602, 603, 604, 599, 601, 602, 594, 599, 599, 598, 
##     601, 598, 595, 594, 599, 604, 603, 595, 608, 601, 603, 603, 
##     613, 603, 604, 605, 601, 610, 605, 603, 601, 610, 597, 606, 
##     605, 603, 611, 608, 605, 601, 601, 609, 602, 598, 610, 599, 
##     603, 608, 603, 608, 607, 608, 602, 608, 605, 607, 601, 600, 
##     608, 608, 604, 601, 604, 603, 608, 608, 600, 604, 601, 613, 
##     612, 606, 610, 603, 604, 600, 611, 601, 608, 608, 608, 614, 
##     607, 608, 604, 610, 609, 606, 612, 610, 602, 609, 609, 611, 
##     605, 612, 607, 612, 603, 610, 600, 606, 601, 606, 610, 600, 
##     603, 606, 611, 602, 608, 605, 607, 601, 605, 607, 610, 604, 
##     606, 606, 607, 590, 584, 585, 577, 584, 581, 582, 582, 583, 
##     584, 577, 583, 587, 577, 586, 582, 587, 591, 581, 583, 593, 
##     589, 578, 590, 591, 587, 583, 590, 588, 591, 590, 585, 584, 
##     590, 584, 580, 585, 584, 584, 588, 588, 593, 587, 582, 588, 
##     586, 589, 580, 593, 587, 584, 579, 584, 588, 575, 586, 580, 
##     581, 583, 586, 584, 587, 579, 578, 585, 590, 583, 588, 582, 
##     584, 582, 582, 587, 587, 580, 579, 578, 585, 578, 589, 581, 
##     577, 585, 584, 579, 580, 580, 586, 584, 582, 581, 574, 580, 
##     582, 577, 587, 586, 582, 582, 584, 582, 581, 585, 581, 584, 
##     585, 586, 583, 581, 585, 586, 586, 582, 586, 586, 584, 585, 
##     588, 585, 597, 593, 588, 592, 591, 586, 587, 583, 583, 586, 
##     592, 585, 586, 584, 583, 580, 586, 590, 586, 587, 586, 590, 
##     582, 585, 590, 591, 587, 589, 586, 590, 587, 591, 582, 587, 
##     588, 592, 587, 590, 591, 583, 590, 583, 578, 586, 579, 582, 
##     595, 590, 588, 581, 585, 586, 585, 585, 585, 586, 588, 581, 
##     580, 577, 590, 582, 584, 586, 585, 589, 582, 576, 584, 580, 
##     589, 585, 578, 586, 589, 581, 580, 584, 585, 584, 582, 582, 
##     583, 587, 582, 583, 579, 588, 585, 589, 587, 594, 583, 585, 
##     581, 582, 592, 585, 581, 581, 581, 587, 580, 586, 580, 591, 
##     594, 584, 585, 584, 583, 584, 583, 586, 580, 587, 580, 590, 
##     564, 564, 568, 564, 568, 561, 562, 563, 559, 566, 563, 561, 
##     558, 568, 570, 566, 568, 570, 562, 562, 571, 568, 567, 569, 
##     568, 565, 573, 563, 565, 564, 560, 563, 571, 566, 567, 568, 
##     560, 567, 567, 565, 565, 566, 566, 564, 568, 566, 561, 568, 
##     558, 565, 556, 564, 566, 564, 563, 566, 565, 580, 573, 566, 
##     571, 574, 573, 567, 576, 567, 566, 559, 566, 563, 564, 575, 
##     559, 566, 569, 569, 567, 564, 565, 567, 565, 562, 563, 566, 
##     565, 571, 567, 569, 566, 570, 566, 575, 573, 573, 570, 568, 
##     569, 564, 565, 557, 564, 570, 573, 566, 566, 571, 570, 573, 
##     564, 566, 567, 565, 564, 566, 564, 569, 567, 568, 564, 564, 
##     570, 573, 567, 568, 569, 566, 566, 569, 573, 568, 567, 566, 
##     566, 563, 559, 561, 568, 567, 565, 565, 566, 567, 562, 559, 
##     559, 558, 558, 560, 561, 559, 568, 568, 569, 572, 566, 572, 
##     571, 567, 568, 565, 563, 566, 564, 555, 564, 567, 563, 568, 
##     566, 570, 572, 565, 568, 565, 558, 559, 565, 569, 569, 562, 
##     569, 560, 559, 567, 564, 558, 564, 566, 570, 562, 560, 569, 
##     562, 568, 568, 572, 567, 574, 569, 571, 573, 567, 557, 564, 
##     563, 565, 572, 572, 567, 567, 568, 569, 563, 562, 569, 567, 
##     556, 572, 568, 566, 567, 571, 567, 565, 560, 566, 567, 569, 
##     564, 559, 571, 567, 565, 568, 565, 567, 570, 577, 559, 570, 
##     567, 569, 602, 607, 602, 604, 602, 603, 607, 607, 607, 600, 
##     595, 607, 599, 601, 603, 602, 605, 599, 605, 604, 606, 601, 
##     606, 598, 607, 598, 601, 602, 603, 600, 603, 599, 601, 602, 
##     599, 604, 601, 601, 600, 598, 601, 605, 602, 603, 606, 608, 
##     602, 597, 597, 600, 598, 597, 606, 599, 605, 594, 607, 593, 
##     606, 601, 597, 605, 598, 603, 601, 601, 601, 602, 604, 596, 
##     597, 597, 603, 602, 600, 607, 599, 600, 600, 604, 597, 603, 
##     602, 601, 603, 600, 603, 604, 606, 602, 602, 602, 595, 595, 
##     602, 599, 603, 602, 611, 604, 601, 608, 605, 604, 601, 599, 
##     599, 600, 606, 609, 603, 598, 611, 601, 597, 599, 600, 603, 
##     608, 602, 603, 600, 604, 604, 604, 599, 604, 600, 604, 603, 
##     598, 600, 603, 599, 601, 603, 604, 603, 600, 601, 600, 606, 
##     599, 607, 605, 607, 603, 609, 603, 608, 611, 603, 607, 606, 
##     608, 609, 602, 602, 611, 608, 611, 610, 606, 600, 599, 603, 
##     601, 601, 600, 597, 607, 607, 609, 605, 599, 608, 606, 604, 
##     610, 600, 608, 600, 610, 605, 603, 604, 608, 607, 611, 604, 
##     604, 609, 604, 604, 604, 600, 606, 598, 603, 605, 606, 604, 
##     607, 611, 606, 609, 607, 611, 603, 604, 607, 602, 602, 606, 
##     606, 601, 613, 606, 599, 608, 606, 600, 607, 599, 599, 608, 
##     598, 599, 598, 596, 595, 598, 597, 598, 601, 592, 597, 603, 
##     598, 598, 604, 606, 604, 601, 602, 605, 607, 599, 611, 602, 
##     603, 598, 607, 602, 601, 597, 607, 600, 602, 606, 598, 597, 
##     606, 604, 632, 638, 634, 641, 634, 630, 634, 632, 635, 630, 
##     632, 634, 638, 633, 634, 631, 635, 633, 639, 633, 632, 631, 
##     638, 634, 632, 635, 635, 641, 637, 634, 638, 633, 628, 640, 
##     632, 635, 635, 632, 631, 638, 631, 629, 638, 626, 637, 633, 
##     629, 631, 633, 633, 634, 630, 633, 630, 633, 636, 632, 632, 
##     628, 629, 629, 633, 629, 635, 631, 628, 631, 639, 641, 629, 
##     636, 639, 633, 631, 632, 638, 641, 640, 637, 632, 634, 642, 
##     633, 628, 639, 634, 638, 638, 628, 635, 633, 634, 629, 632, 
##     633, 636, 631, 637, 632, 630, 633, 634, 631, 631, 639, 633, 
##     641, 631, 631, 640, 637, 635, 633, 629, 636, 633, 638, 629, 
##     632, 631, 628, 632, 629, 629, 629, 631, 631, 632, 633, 627, 
##     633, 632, 637, 631, 634, 631, 631, 635, 635, 634, 633, 628, 
##     631, 632, 632, 632, 633, 629, 628, 633, 635, 639, 633, 633, 
##     633, 627, 633, 633, 635, 632, 631, 632, 639, 628, 633, 628, 
##     631, 629, 638, 632, 630, 635, 626, 629, 629, 631, 637, 630, 
##     635, 634, 631, 639, 633, 630, 632, 629, 630, 633, 632, 632, 
##     631, 627, 632, 630, 628, 632, 630, 629, 632, 629, 630, 633, 
##     634, 629, 633, 629, 633, 631, 632, 630, 634, 633, 631, 631, 
##     632, 633, 628, 639, 627, 635, 633, 631, 627, 633, 627, 630, 
##     628, 633, 635, 640, 631, 635, 633, 628, 635, 635, 633, 634, 
##     637, 632, 635, 636, 632, 637, 632, 630, 633, 632, 632, 641, 
##     627, 628, 631, 633, 635, 635, 628, 631, 630, 631, 638, 632, 
##     643, 639, 633, 632, 637, 630, 633, 625, 638, 632, 634, 629, 
##     632, 632, 634, 634, 627, 631, 631, 632, 630, 630, 629, 634, 
##     628, 624, 632, 627, 635, 625, 632, 623, 631, 626, 626, 627, 
##     631, 631, 626, 629, 626, 627, 630, 634, 626, 632, 631, 627, 
##     636, 630, 630, 622, 627, 627, 634, 625, 624, 624, 633, 628, 
##     630, 628, 630, 626, 627, 628, 633, 626, 641, 634, 639, 641, 
##     644, 635, 634, 639, 638, 632, 632, 635, 633, 636, 636, 634, 
##     633, 631, 635, 640, 633, 631, 634, 631, 632, 631, 637, 632, 
##     629, 629, 627, 631, 634, 631, 635, 605, 598, 601, 604, 610, 
##     600, 603, 609, 603, 601, 605, 606, 604, 602, 606, 606, 594, 
##     603, 608, 601, 600, 601, 604, 604, 608, 610, 606, 605, 605, 
##     604, 606, 602, 600, 599, 599, 609, 600, 606, 604, 604, 610, 
##     603, 611, 601, 604, 603, 600, 599, 599, 600, 602, 601, 599, 
##     597, 605, 605, 596, 606, 603, 597, 598, 596, 597, 604, 601, 
##     600, 604, 605, 605, 603, 593, 603, 598, 606, 604, 599, 597, 
##     605, 600, 598, 596, 598, 596, 603, 596, 596, 602, 600, 597, 
##     602, 601, 603, 607, 598, 602, 603, 602, 603, 602, 599, 595, 
##     596, 600, 599, 601, 602, 606, 604, 607, 609, 598, 607, 606, 
##     607, 601, 605, 610, 597, 607, 602, 607, 601, 609, 606, 604, 
##     608, 609, 607, 599, 598, 601, 604, 606, 603, 599, 602, 598, 
##     604, 597, 598, 600, 598, 606, 610, 604, 608, 612, 611, 607, 
##     602, 606, 610, 604, 602, 609, 609, 602, 609, 602, 602, 603, 
##     602, 594, 605, 603, 606, 595, 598, 603, 601, 600, 607, 602, 
##     605, 600, 610, 610, 597, 601, 602, 601, 605, 607, 603, 601, 
##     608, 602, 595, 603, 601, 596, 602, 606, 598, 601, 608, 600, 
##     602, 598, 595, 604, 604, 604, 607, 607, 606, 603, 598, 609, 
##     600, 610, 604, 608, 606, 603, 606, 603, 598, 600, 611, 602, 
##     598, 604, 601, 599, 603, 606, 603, 611, 602, 601, 606, 605, 
##     601, 603, 602, 607, 601, 609, 605, 605, 604, 604, 600, 603, 
##     609, 603, 602, 599, 608, 606, 607, 601, 605, 601, 606, 602, 
##     598, 602, 604, 599, 596, 603, 601, 602, 605, 606, 606, 602, 
##     598, 599, 609, 604, 608, 600, 607, 606, 600, 601, 606, 606, 
##     603, 607, 607, 599, 607, 605, 604, 602, 612, 610, 601, 606, 
##     607, 602, 605, 604, 601, 610, 607, 601, 603, 601, 612, 600, 
##     602, 598, 595, 605, 606, 607, 599, 608, 598, 604, 605, 610, 
##     604, 608, 602, 605, 609, 610, 606, 607, 608, 611, 615, 614, 
##     608, 608, 605, 612, 610, 607, 615, 614, 613, 609, 613, 612, 
##     613, 607, 612, 603, 612, 610, 611, 609, 611, 606, 611, 608, 
##     609, 614, 611, 608, 599, 606, 602, 598, 606, 610, 611, 605, 
##     597, 604, 597, 607, 602, 597, 607, 611, 603, 607, 607, 606, 
##     601, 598, 606, 610, 601, 597, 601, 600, 606, 598, 601, 603, 
##     603, 603, 606, 605, 608, 602, 599, 602, 605, 601, 605, 601, 
##     598, 604, 600, 600, 603, 603, 600, 599, 603, 598, 605, 599, 
##     601, 599, 598, 599, 597, 599, 602, 602, 607, 600, 613, 605, 
##     600, 607, 603, 604, 596, 603, 594, 607, 602, 603, 599, 601, 
##     599, 609, 595, 601, 599, 605, 614, 595, 598, 599, 602, 597, 
##     597, 594, 594, 605, 599, 601, 606, 599, 597, 600, 598, 598, 
##     599, 601, 602, 598, 601, 598, 596, 602, 600, 597, 599, 596, 
##     598, 599, 604, 598, 599, 598, 593, 597, 600, 602, 597, 596, 
##     600, 594, 597, 600, 600, 594, 591, 592, 598, 593, 605, 596, 
##     598, 598, 598, 599, 594, 601, 591, 595, 600, 596, 591, 590, 
##     592, 598, 599, 604, 602, 592, 596, 597, 592, 590, 601, 591, 
##     600, 600, 595, 603, 596, 598, 599, 590, 593, 599, 600, 597, 
##     593, 602, 602, 593, 593, 604, 599, 598, 597, 601, 601, 605, 
##     600, 596, 597, 591, 593, 599, 597, 596, 599, 592, 592, 602, 
##     597, 596, 593, 597, 592, 600, 598, 595, 597, 593, 596, 595, 
##     599, 598, 600, 597, 599, 591, 601, 594, 601, 595, 596, 597, 
##     599, 601, 596, 599, 591, 597, 591, 599, 596, 595, 600, 600, 
##     603, 591, 593, 602, 595, 598, 597, 600, 596, 599, 594, 601, 
##     600, 595, 593, 597, 598, 593, 602, 601, 593, 595, 596, 591, 
##     594, 600, 599, 596, 595, 596, 603, 591, 600, 599, 599, 595, 
##     602, 601, 599, 600, 598, 596, 599, 598, 601, 596, 596, 603, 
##     591, 595, 599, 601, 602, 598, 601, 592, 599, 599, 602, 595, 
##     599, 597, 595, 602, 596, 590, 599, 599, 592, 593, 599, 592, 
##     592, 595, 595, 602, 590, 593, 585, 594, 600, 593, 595, 596, 
##     597, 591, 595, 593, 595, 595, 599, 599, 601, 596, 596, 601, 
##     597, 603, 603, 593, 592, 593, 596, 603, 597, 597, 599, 600, 
##     584, 597, 593, 598, 603, 598, 599, 599, 599, 601, 599, 595, 
##     592, 595, 595, 595, 599, 599, 594, 597, 598, 598, 600, 601, 
##     591, 596, 604, 597, 601, 596, 599, 599, 600, 597, 597, 596, 
##     602, 591, 593, 605, 598, 596, 603, 600, 608, 604, 607, 602, 
##     604, 604, 603, 605, 612, 600, 600, 605, 633, 626, 639, 632, 
##     642, 639, 630, 636, 636, 635, 635, 636, 628, 631, 635, 637, 
##     636, 637, 634, 633, 632, 633, 635, 646, 636, 639, 631, 642, 
##     636, 625, 629, 640, 631, 632, 634, 634, 630, 635, 633, 629, 
##     634, 630, 565, 562, 562, 558, 562, 566, 565, 563, 567, 565, 
##     567, 572, 567, 572, 565, 567, 568, 565, 563, 573, 567, 570, 
##     568, 568, 560, 567, 564, 560, 562, 561, 564, 566, 563, 559, 
##     560, 575, 570, 568, 576, 574, 566, 568, 565, 569, 558, 559, 
##     587, 582, 583, 590, 590, 589, 587, 584, 590, 584, 594, 583, 
##     582, 583, 588, 583, 581, 585, 595, 596, 592, 586, 586, 580, 
##     582, 586, 582, 580, 584, 587, 589, 581, 580, 592, 585, 590, 
##     587, 586, 583, 589, 576, 586, 587, 583, 589, 587, 586, 584, 
##     590, 582, 589, 593, 575, 589, 587, 581, 583, 589, 580, 581, 
##     582, 583, 584, 581, 590, 584, 587, 591, 609, 603, 607, 606, 
##     608, 604, 606, 612, 601, 610, 607, 610, 608, 603, 599, 608, 
##     612, 607, 609, 604, 603, 598, 595, 597, 598, 598, 597, 606, 
##     601, 607, 602, 605, 607, 605, 604, 594, 607, 606, 600, 598, 
##     600, 603, 601, 605, 604, 603, 602, 597, 601, 597, 598, 590, 
##     603, 605, 600, 604, 603, 604, 601, 606, 601, 596, 601, 600, 
##     601, 598, 596, 600, 605, 596, 602, 603, 607, 605, 604, 600, 
##     606, 598, 596, 598, 603, 604, 602, 604, 601, 606, 605, 603, 
##     602, 601, 607, 598, 611, 605, 601, 608, 603, 604, 608, 607, 
##     606, 598, 604, 603, 612, 611, 601, 600, 605, 603, 602, 610, 
##     606, 601, 611, 611, 607, 588, 581, 584, 582, 588, 589, 587, 
##     584, 587, 587, 584, 583, 577, 581, 582, 579, 576, 578, 590, 
##     586, 587, 581, 578, 582, 585, 591, 583, 591, 595, 591, 585, 
##     587, 585, 591, 593, 590, 584, 594, 594, 583, 584, 591, 591, 
##     581, 586, 584, 590, 581, 584, 579, 586, 591, 581, 582, 581, 
##     582, 586, 582, 588, 584, 587, 587, 595, 587, 586, 587, 594, 
##     592, 588, 586, 587, 581, 589, 582, 586, 588, 583, 585, 590, 
##     582, 587, 585, 586, 582, 584, 591, 581, 588, 584, 584, 585, 
##     585, 589, 593, 591, 585, 585, 589, 585, 583, 587, 589, 582, 
##     590, 589, 585, 591, 587, 586, 582, 586, 586, 582, 582, 589, 
##     580, 578, 579, 589, 589, 582, 582, 585, 584, 587, 588, 585, 
##     582, 587, 584, 587, 591, 588, 584, 590, 583, 582, 593, 587, 
##     591, 586, 585, 584, 591, 594, 589, 591, 589, 589, 594, 587, 
##     586, 590, 586, 592, 587, 582, 585, 581, 586, 587, 587, 590, 
##     586, 588, 583, 584, 591, 599, 592, 596, 595, 587, 583, 587, 
##     584, 584, 590, 585, 586, 586, 586, 587, 584, 584, 583, 582, 
##     583, 586, 591, 582, 579, 589, 581, 581, 581, 588, 581, 584, 
##     585, 588, 582, 586, 582, 587, 582, 579, 587, 584, 586, 583, 
##     585, 581, 586, 588, 590, 587, 588, 584, 584, 584, 583, 585, 
##     583, 583, 586, 588, 580, 581, 587, 590, 600, 597, 599, 601, 
##     597, 597, 597, 598, 596, 599, 599, 599, 604, 601, 604, 604, 
##     603, 600, 599, 601, 597, 595, 598, 601, 595, 594, 598, 598, 
##     599, 597, 601, 599, 602, 594, 601, 604, 598, 599, 603, 600, 
##     603, 598, 598, 601, 605, 592, 601, 601, 594, 595, 598, 606, 
##     606, 597, 597, 599, 601, 598, 596, 592, 598, 596, 598, 603, 
##     594, 596, 593, 593, 595, 600, 591, 601, 602, 602, 598, 594, 
##     602, 599, 600, 599, 594, 599, 598, 608, 595, 602, 602, 596, 
##     603, 595, 598, 600, 599, 597, 599, 599, 596, 590, 596, 599, 
##     595, 592, 601, 596, 595, 598, 601, 603, 596, 598, 595, 598, 
##     602, 599, 606, 597, 599, 595, 600, 601, 589, 594, 594, 602, 
##     600, 607, 600, 603, 598, 597, 590, 594, 601, 602, 603, 604, 
##     599, 599, 606, 597, 601, 606, 599, 594, 602, 594, 597, 602, 
##     594, 594, 597, 598, 595, 598, 601, 596, 601, 595, 599, 598, 
##     594, 601, 600, 608, 607, 605, 604, 604, 609, 603, 602, 598, 
##     598, 608, 605, 602, 602, 602, 593, 595, 591, 599, 597, 605, 
##     609, 616, 570, 564, 575, 582, 597, 587, 584, 547, 524, 457, 
##     434, 430, 426, 431, 434, 441, 465, 478, 540, 577, 597, 607, 
##     622, 622, 637, 647, 660, 656, 657, 650, 646, 645, 633, 632, 
##     612, 557, 518, 509, 494, 410, 406, 406, 398, 392, 404, 409, 
##     419, 441, 481, 506, 525, 540, 546, 551, 575, 603, 640, 642, 
##     467, 434, 405, 393, 405, 400, 432, 440, 485, 516, 529, 568, 
##     599, 607, 638, 639, 656, 654, 659, 664, 659, 668, 659, 649, 
##     644, 633, 607, 520, 510, 563, 519, 496, 473, 469, 418, 376, 
##     376, 359, 365, 387, 426, 439, 456, 463, 469, 497, 503, 540, 
##     555, 575, 595, 593, 607, 618, 648, 648, 665, 662, 664, 656, 
##     653, 621, 622, 583, 498, 486, 428, 391, 382, 369, 373, 375, 
##     379, 430, 434, 454, 486, 484, 515, 526, 585, 599, 651, 662, 
##     656, 658, 645, 639, 607, 602, 574, 561, 544, 484, 451, 413, 
##     400, 408, 412, 438, 461, 483, 493, 517, 595, 612, 627, 636, 
##     638, 647, 656, 650, 652, 641, 628, 605, 599, 584, 570, 564, 
##     545, 473, 468, 408, 393, 401, 396, 404, 420, 416, 439, 461, 
##     455, 492, 505, 513, 526, 520, 548, 597, 599, 608, 638, 641, 
##     645, 648, 652, 660, 657, 655, 655, 655, 639, 622, 592, 583, 
##     575, 539, 525, 481, 469, 454, 439, 422, 390, 382, 368, 363, 
##     372, 375, 383, 388, 412, 419, 436, 502, 515, 520, 531, 527, 
##     545, 571, 577, 595, 613, 613, 603, 602, 608, 594, 586, 583, 
##     589, 583, 581, 582, 577, 576, 584, 576, 582, 575, 580, 576, 
##     570, 573, 574, 600, 607, 604, 605, 596, 601, 614, 605, 594, 
##     596, 599, 605, 600, 600, 602, 604, 604, 593, 598, 603, 602, 
##     600, 600, 602, 599, 602, 600, 610, 601, 604, 600, 607, 607, 
##     599, 602, 609, 602, 599, 593, 603, 602, 601, 599, 604, 601, 
##     606, 599, 601, 600, 598, 600, 602, 605, 596, 598, 605, 600, 
##     599, 600, 603, 603, 596, 599, 602, 605, 599, 600, 596, 603, 
##     602, 601, 604, 599, 596, 601, 598, 602, 602, 601, 607, 601, 
##     603, 603, 600, 607, 603, 602, 601, 592, 607, 605, 607, 604, 
##     606, 608, 606, 613, 607, 595, 602, 597, 600, 596, 593, 605, 
##     601, 597, 598, 599, 599, 600, 598, 606, 600, 602, 606, 596, 
##     607, 603, 612, 606, 601, 607, 606, 605, 610, 600, 599, 599, 
##     599, 605, 600, 601, 602, 600, 601, 603, 606, 603, 606, 604, 
##     606, 604, 610, 605, 604, 607, 602, 601, 609, 606, 605, 606, 
##     603, 603, 605, 601, 605, 600, 602, 598, 600, 601, 603, 603, 
##     601, 602, 607, 611, 602, 604, 606, 606, 599, 599, 599, 605, 
##     599, 604, 609, 594, 604, 600, 634, 632, 634, 636, 629, 637, 
##     627, 633, 634, 631, 628, 630, 627, 630, 630, 629, 634, 629, 
##     628, 630, 633, 628, 631, 632, 634, 625, 630, 632, 632, 626, 
##     627, 629, 631, 630, 630, 634, 629, 626, 625, 631, 637, 629, 
##     638, 627, 632, 625, 631, 629, 634, 627, 626, 631, 631, 630, 
##     627, 627, 632, 631, 633, 633, 637, 627, 635, 630, 628, 630, 
##     632, 633, 632, 632, 634, 636, 630, 630, 627, 625, 636, 630, 
##     626, 628, 620, 628, 630, 627, 632, 632, 624, 627, 622, 622, 
##     629, 625, 630, 629, 622, 635, 632, 635, 630, 631, 630, 637, 
##     628, 627, 633, 628, 629, 630, 625, 626, 626, 630, 628, 630, 
##     619, 625, 631, 631, 631, 624, 630, 622, 624, 626, 630, 627, 
##     630, 627, 631, 635, 630, 630, 631, 631, 634, 625, 629, 625, 
##     630, 629, 626, 628, 626, 628, 633, 632, 624, 630, 631, 624, 
##     630, 633, 629, 631, 631, 628, 635, 625, 631, 633, 635, 631, 
##     641, 634, 637, 636, 630, 634, 632, 634, 640, 632, 628, 635, 
##     633, 634, 634, 629, 633, 637, 637, 639, 637, 632, 639, 635, 
##     635, 635, 630, 636, 643, 642, 636, 633, 635, 634, 637, 627, 
##     629, 630, 632, 635, 634, 631, 632, 639, 637, 629, 640, 642, 
##     632, 632, 638, 636, 639, 637, 633, 640, 637, 638, 637, 641, 
##     633, 622, 630, 634, 636, 632, 639, 644, 636, 633, 636, 633, 
##     633, 636, 634, 635, 635, 635, 635, 632, 636, 636, 604, 605, 
##     602, 614, 605, 614, 609, 608, 613, 607, 609, 609, 603, 605, 
##     604, 601, 604, 606, 599, 612, 605, 607, 607, 608, 608, 607, 
##     604, 610, 608, 611, 608, 617, 610, 608, 610, 612, 613, 607, 
##     603, 608, 606, 604, 609, 606, 613, 611, 600, 604, 609, 610, 
##     609, 611, 608, 607, 609, 608, 609, 602, 599, 602, 613, 616, 
##     607, 610, 606, 605, 611, 602, 607, 606, 609, 604, 610, 610, 
##     611, 607, 603, 605, 611, 611, 606, 615, 615, 610, 607, 605, 
##     609, 606, 611, 611, 608, 606, 610, 604, 610, 606, 600, 601, 
##     602, 607, 605, 607, 603, 605, 607, 611, 606, 605, 608, 606, 
##     606, 606, 610, 610, 615, 605, 601, 613, 609, 607, 610, 607, 
##     609, 613, 612, 609, 608, 610, 604, 606, 609, 604, 603, 604, 
##     608, 615, 608, 610, 600, 607, 605, 600, 610, 607, 612, 608, 
##     608, 603, 610, 607, 608, 610, 610, 610, 606, 605, 609, 611, 
##     613, 607, 605, 606, 612, 607, 610, 605, 608, 607, 611, 608, 
##     611, 608, 614, 610, 601, 591, 593, 596, 599, 606, 596, 607, 
##     611, 603, 599, 593, 592, 593, 608, 615, 612, 595, 602, 613, 
##     613, 617, 614, 614, 619, 618, 618, 622, 626, 620, 616, 617, 
##     613, 614, 612, 608, 609, 611, 611, 610, 607, 605, 604, 601, 
##     602, 613, 607, 607, 606, 602, 608, 615, 607, 609, 600, 606, 
##     605, 603, 614, 604, 610, 612, 613, 601, 605, 612, 610, 602, 
##     606, 605, 606, 604, 611, 611, 607, 607, 612, 607, 604, 611, 
##     610, 614, 614, 613, 608, 602, 610, 621, 606, 607, 612, 602, 
##     604, 606, 607, 610, 611, 602, 603, 602, 596, 603, 612, 607, 
##     606, 611, 603, 600, 601, 610, 604, 608, 606, 609, 608, 608, 
##     610, 609, 608, 605, 602, 607, 596, 608, 596, 599, 595, 596, 
##     600, 599, 599, 602, 598, 601, 605, 598, 602, 603, 600, 598, 
##     596, 600, 598, 595, 597, 605, 599, 601, 595, 599, 595, 597, 
##     596, 598, 598, 598, 604, 604, 599, 604, 605, 602, 597, 604, 
##     601, 589, 593, 596, 596, 601, 596, 600, 595, 601, 597, 594, 
##     597, 591, 600, 602, 599, 600, 603, 596, 598, 596, 601, 597, 
##     597, 603, 598, 601, 599, 602, 600, 603, 607, 604, 602, 601, 
##     604, 601, 600, 605, 595, 598, 595, 599, 602, 599, 600, 600, 
##     599, 604, 601, 599, 603, 607, 603, 604, 600, 602, 602, 604, 
##     606, 606, 603, 608, 598, 602, 595, 601, 604, 603, 600, 600, 
##     599, 604, 602, 600, 604, 600, 599, 606, 596, 597, 604, 598, 
##     599, 595, 601, 595, 601, 593, 603, 594, 598, 599, 599, 591, 
##     601, 590, 600, 596, 599, 600, 603, 600, 596, 595, 600, 602, 
##     601, 604, 598, 607, 599, 602, 599, 597, 593, 600, 600, 598, 
##     596, 592, 597, 594, 606, 596, 594, 598, 595, 599, 594, 601, 
##     602, 598, 597, 599, 595, 604, 600, 602, 600, 601, 604, 602, 
##     601, 603, 602, 604, 596, 603, 602, 605, 599, 605, 599, 599, 
##     607, 598, 597, 606, 595, 599, 606, 599, 603, 598, 597, 600, 
##     600, 601, 601, 606, 601, 602, 599, 606, 602, 595, 601, 613, 
##     602, 601, 597, 606, 607, 599, 601, 606, 604, 639, 637, 642, 
##     633, 639, 637, 636, 644, 634, 629, 632, 626, 626, 626, 623, 
##     630, 623, 631, 621, 630, 626, 630, 628, 629, 627, 631, 634, 
##     627, 629, 626, 628, 630, 629, 631, 630, 629, 633, 627, 631, 
##     631, 628, 624, 631, 632, 625, 633, 630, 620, 630, 627, 631, 
##     630, 580, 615, 620, 619, 657, 662, 661, 663, 659, 611, 579, 
##     459, 374, 369, 372, 379, 390, 390, 398, 429, 440, 449, 473, 
##     496, 498, 515, 542, 569, 639, 655, 659, 665, 669, 667, 661, 
##     664, 662, 667, 673, 657, 650, 635, 616, 599, 594, 563, 476, 
##     387, 383, 398, 421, 435, 454, 487, 505, 499, 533, 559, 574, 
##     586, 602, 625, 661, 660, 664, 662, 648, 635, 625, 554, 501, 
##     470, 433, 423, 418, 407, 586, 584, 584, 587, 589, 585, 588, 
##     594, 591, 591, 599, 591, 596, 589, 588, 589, 590, 587, 581, 
##     591, 578, 587, 581, 582, 586, 577, 582, 580, 585, 583, 584, 
##     597, 585, 591, 587, 593, 591, 585, 589, 589, 587, 595, 594, 
##     586, 585, 586, 595, 588, 589, 591, 597, 600, 598, 604, 606, 
##     607, 607, 599, 604, 606, 600, 599, 605, 600, 604, 603, 604, 
##     605, 605, 607, 603, 601, 604, 605, 608, 600, 598, 598, 603, 
##     599, 607, 604, 513, 508, 508, 500, 493, 495, 497, 489, 501, 
##     495, 503, 498, 502, 495, 502, 502, 498, 495, 492, 497, 494, 
##     502, 497, 500, 501, 643, 579, 585, 589, 597, 593, 601, 612, 
##     608, 618, 616, 610, 605, 611, 610, 604, 611, 617, 609, 612, 
##     597, 590, 593, 565, 519, 509, 503, 497, 495, 488, 490, 493, 
##     486, 490, 497, 499, 523, 540, 550, 559, 578, 580, 596, 598, 
##     604, 605, 608, 608, 616, 616, 620, 616, 621, 612, 603, 600, 
##     603, 606, 613, 607, 605, 611, 595, 595, 599, 589, 600, 598, 
##     606, 604, 603, 600, 602, 598, 590, 581, 574, 567, 560, 550, 
##     539, 532, 522, 514, 507, 494, 480, 477, 470, 467, 442, 440, 
##     440, 440, 437, 437, 486, 493, 489, 479, 484, 488, 584, 591, 
##     585, 580, 576, 564, 551, 548, 548, 543, 540, 537, 542, 547, 
##     554, 569, 599, 603, 617, 626, 628, 630, 627, 636, 626, 633, 
##     630, 629, 626, 628, 625, 628, 626, 623, 612, 611, 579, 576, 
##     573, 550, 540, 540, 541, 531, 528, 528, 529, 522, 533, 528, 
##     548, 561, 578, 584, 584, 588, 614, 615, 621, 620, 630, 635, 
##     623, 631, 624, 630, 626, 610, 599, 577, 581, 569, 564, 562, 
##     550, 551, 539, 544, 543, 549, 551, 560, 565, 568, 589, 591, 
##     604, 611, 615, 614, 626, 620, 624, 623, 619, 618, 623, 539, 
##     548, 600, 607, 618, 628, 625, 627, 598, 547, 533, 538, 536, 
##     534, 532, 538, 533, 545, 553, 555, 566, 569, 564, 576, 583, 
##     588, 611, 615, 621, 621, 622, 626, 622, 605, 600, 602, 587, 
##     584, 575, 567, 566, 558, 550, 549, 543, 546, 547, 547, 624, 
##     624, 617, 611, 593, 584, 585, 579, 571, 566, 560, 543, 543, 
##     534, 531, 524, 533, 540, 574, 582, 585, 589, 598, 609, 631, 
##     638, 643, 636, 637, 629, 616, 608, 601, 510, 513, 516, 521, 
##     525, 539, 542, 557, 576, 577, 599, 607, 613, 623, 623, 627, 
##     618, 619, 629, 623, 620, 622, 615, 606, 605, 604, 583, 580, 
##     572, 563, 564, 553, 540, 498, 501, 514, 514, 521, 532, 537, 
##     555, 567, 571, 587, 602, 605, 609, 607, 612, 609, 609, 614, 
##     608, 613, 608, 615, 611, 618, 623, 608, 616, 613, 613, 618, 
##     615, 614, 612, 617, 620, 610, 607, 610, 614, 601, 613, 615, 
##     608, 612, 607, 617, 607, 615, 612, 614, 604, 605, 604, 605, 
##     605, 610, 611, 602, 610, 599, 598, 607, 607, 604, 603, 598, 
##     604, 604, 609, 601, 610, 599, 588, 562, 519, 515, 507, 506, 
##     502, 489, 477, 475, 510, 545, 557, 584, 592, 600, 599, 599, 
##     599, 606, 592, 593, 594, 581, 551, 549, 521, 507, 501, 505, 
##     506, 508, 508, 508, 519, 525, 536, 540, 545, 565, 583, 584, 
##     588, 594, 593, 592, 597, 590, 586, 592, 594, 574, 583, 570, 
##     566, 532, 528, 517, 514, 516, 500, 495, 493, 543, 552, 569, 
##     586, 584, 583, 601, 608, 615, 609, 608, 601, 602, 599, 619, 
##     617, 587, 563, 559, 554, 532, 524, 516, 490, 484, 459, 453, 
##     455, 455, 457, 451, 456, 452, 457, 462, 464, 476, 487, 566, 
##     575, 587, 594, 599, 605, 609, 612, 613, 608, 617, 625, 618, 
##     614, 619, 610, 602, 603, 575, 569, 567, 473, 475, 461, 457, 
##     448, 434, 429, 447, 454, 468, 542, 546, 547, 561, 567, 575, 
##     581, 587, 591, 596, 604, 620, 619, 608, 605, 596, 580, 572, 
##     566, 559, 551, 542, 536, 521, 505, 504, 497, 499, 489, 488, 
##     485, 473, 470, 462, 467, 471, 489, 508, 534, 535, 542, 549, 
##     550, 551, 556, 570, 572, 580, 591, 591, 599, 603, 616, 604, 
##     607, 601, 592, 594, 593, 593, 586, 572, 568, 562, 557, 540, 
##     513, 491, 494, 486, 454, 451, 448, 458, 468, 458, 473, 489, 
##     499, 506, 508, 523, 548, 551, 570, 572, 589, 596, 619, 627, 
##     631, 628, 625, 616, 615, 604, 597, 579, 561, 532, 515, 450, 
##     445, 437, 440, 442, 453, 483, 486, 498, 519, 561, 561, 571, 
##     583, 589, 590, 609, 615, 613, 612, 599, 591, 589, 564, 540, 
##     523, 517, 516, 475, 450, 439, 444, 430, 428, 432, 447, 445, 
##     456, 474, 486, 514, 514, 551, 571, 582, 606, 610, 617, 627, 
##     631, 632, 618, 614, 614, 599, 583, 572, 565, 561, 552, 527, 
##     519, 508, 502, 470, 447, 451, 444, 446, 453, 463, 467, 471, 
##     497, 513, 523, 543, 549, 561, 560, 590, 602, 603, 607, 620, 
##     624, 628, 627, 623, 626, 619, 614, 620, 609, 615, 610, 604, 
##     596, 594, 580, 581, 571, 576, 567, 440, 454, 460, 456, 474, 
##     482, 505, 535, 552, 573, 578, 586, 604, 609, 618, 611, 621, 
##     625, 629, 614, 617, 598, 597, 588, 580, 583, 571, 536, 502, 
##     480, 483, 474, 468, 451, 444, 453, 440, 442, 436, 432, 447, 
##     442, 453, 452, 462, 460, 489, 509, 537, 545, 551, 568, 574, 
##     570, 576, 591, 600, 591, 610, 608, 600, 596, 601, 594, 592, 
##     580, 574, 562, 508, 498, 492, 485, 472, 462, 454, 449, 450, 
##     449, 446, 446, 444, 445, 453, 454, 456, 475, 522, 567, 571, 
##     585, 613, 614, 614, 620, 616, 617, 612, 618, 611, 608, 610, 
##     613, 604, 607, 609, 604, 594, 594, 580, 587, 595, 590, 580, 
##     586, 598, 591, 602, 596, 586, 598, 580, 585, 581, 580, 581, 
##     583, 584, 586, 586, 584, 592, 584, 590, 585, 587, 587, 583, 
##     588, 586, 584, 597, 591, 584, 592, 585, 586, 586, 577, 572, 
##     577, 574, 571, 575, 573, 586, 573, 580, 578, 572, 574, 571, 
##     578, 575, 577, 574, 571, 572, 569, 575, 574, 571, 571, 577, 
##     576, 577, 575, 576, 577, 569, 576, 571, 571, 574, 574, 571, 
##     569, 563, 578, 568, 571, 568, 574, 573, 569, 568, 568, 569, 
##     575, 571, 565, 572, 572, 566, 567, 570, 565, 569, 575, 576, 
##     577, 578, 573, 574, 575, 570, 570, 570, 578, 573, 573, 575, 
##     576, 581, 582, 581, 573, 571, 570, 567, 567, 565, 566, 565, 
##     564, 572, 572, 569, 572, 570, 567, 575, 583, 576, 573, 583, 
##     579, 572, 562, 568, 572, 579, 572, 568, 569, 568, 566, 573, 
##     566, 570, 572, 570, 568, 570, 569, 565, 575, 577, 577, 578, 
##     571, 576, 573, 572, 574, 575, 571, 570, 570, 568, 575, 570, 
##     571, 572, 573, 572, 578, 576, 569, 569, 567, 573, 569, 576, 
##     575, 578, 580, 577, 575, 581, 581, 575, 580, 581, 568, 575, 
##     573, 569, 573, 571, 573, 575, 580, 573, 566, 570, 565, 571, 
##     576, 577, 575, 573, 568, 575, 571, 568, 570, 576, 570, 571, 
##     575, 574, 582, 582, 574, 582, 581, 580, 572, 572, 578, 575, 
##     570, 578, 574, 566, 570, 573, 572, 574, 573, 574, 582, 574, 
##     582, 572, 580, 576, 587, 580, 576, 574, 577, 579, 584, 571, 
##     579, 578, 574, 581, 576, 570, 570, 570, 574, 580, 575, 578, 
##     569, 570, 571, 569, 577, 580, 576, 565, 574, 574, 574, 570, 
##     575, 586, 582, 583, 583, 582, 582, 557, 559, 548, 544, 546, 
##     538, 535, 639, 635, 641, 632, 631, 633, 636, 634, 633, 635, 
##     639, 635, 633, 634, 640, 634, 628, 632, 631, 631, 627, 632, 
##     635, 638, 636, 629, 627, 619, 603, 599, 588, 575, 559, 581, 
##     584, 623, 637, 636, 641, 649, 642, 641, 649, 651, 638, 647, 
##     634, 630, 625, 609, 565, 564, 550, 555, 550, 555, 560, 561, 
##     568, 576, 631, 632, 636, 640, 632, 633, 634, 621, 615, 596, 
##     582, 570, 552, 550, 554, 562, 584, 590, 600, 620, 614, 624, 
##     636, 635, 637, 638, 642, 638, 641, 639, 636, 627, 629, 629, 
##     622, 606, 599, 592, 574, 568, 567, 548, 538, 555, 564, 585, 
##     606, 612, 631, 635, 631, 623, 628, 628, 615, 616, 616, 549, 
##     540, 539, 541, 538, 544, 545, 562, 595, 609, 617, 629, 637, 
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##     639, 635, 636, 635, 643, 637, 637, 630, 634, 628, 618, 614, 
##     610, 602, 595, 584, 577, 579, 584, 587, 592, 588, 606, 616, 
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##     637, 634, 630, 638, 635, 638, 638, 630, 634, 644, 640, 626, 
##     632, 631, 631, 639, 634, 630, 638, 644, 637, 642, 645, 638, 
##     640, 642, 632, 634, 635, 633, 633, 636, 632, 609, 599, 605, 
##     605, 595, 601, 589, 582, 563, 552, 537, 533, 524, 524, 520, 
##     522, 504, 502, 509, 502, 496, 499, 492, 500, 510, 527, 534, 
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##     625, 623, 626, 623, 622, 613, 615, 611, 613, 600, 604, 588, 
##     556, 534, 529, 520, 513, 503, 507, 504, 495, 490, 484, 495, 
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##     518, 519, 510, 502, 506, 503, 499, 493, 489, 490, 502, 490, 
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##     598, 598, 591, 586, 575, 568, 560, 505, 491, 485, 582, 578, 
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##     514, 510, 512, 499, 498, 490, 476, 471, 464, 485, 488, 504, 
##     514, 526, 535, 567, 568, 574, 583, 585, 539, 530, 537, 543, 
##     547, 548, 549, 548, 549, 551, 547, 554, 551, 553, 557, 550, 
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##     633, 634, 633, 624, 634, 629, 633, 629, 610, 579, 577, 569, 
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##     501, 516, 528, 540, 552, 558, 565, 566), magnet_belt_z = c(-305, 
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##     -313, -313, -278, -289, -279, -285, -279, -270, -267, -286, 
##     -292, -310, -301, -297, -343, -354, -431, -438, -471, -479, 
##     -504, -506, -511, -515, -527, -524, -530, -511, -511, -478, 
##     -474, -465, -440, -407, -405, -272, -317, -320, -334, -387, 
##     -493, -488, -487, -385, -333, -330, -315, -317, -307, -283, 
##     -287, -263, -251, -266, -336, -338, -326, -316, -300, -291, 
##     -283, -282, -268, -284, -290, -294, -303, -311, -311, -335, 
##     -294, -285, -283, -290, -290, -291, -291, -309, -302, -314, 
##     -320, -328, -352, -463, -420, -397, -387, -372, -374, -379, 
##     -374, -376, -358, -393, -404, -473, -475, -494, -505, -510, 
##     -395, -423, -443, -477, -471, -492, -484, -495, -513, -514, 
##     -509, -520, -507, -496, -476, -464, -452, -437, -422, -430, 
##     -402, -375, -360, -376, -365, -376, -381, -377, -411, -409, 
##     -446, -446, -460, -466, -492, -490, -512, -516, -524, -520, 
##     -518, -506, -485, -422, -391, -377, -369, -360, -355, -353, 
##     -348, -362, -368, -368, -402, -419, -499, -501, -501, -379, 
##     -384, -389, -422, -449, -476, -486, -508, -504, -506, -514, 
##     -522, -512, -520, -380, -380, -381, -393, -400, -418, -415, 
##     -438, -452, -459, -469, -477, -484, -481, -490, -481, -501, 
##     -510, -519, -510, -525, -508, -502, -492, -472, -467, -446, 
##     -408, -391, -374, -350, -368, -437, -451, -447, -447, -425, 
##     -432, -423, -444, -422, -433, -432, -429, -423, -424, -424, 
##     -429, -414, -413, -416, -419, -424, -426, -426, -429, -420, 
##     -433, -428, -307, -297, -310, -306, -303, -309, -288, -300, 
##     -301, -307, -313, -305, -306, -308, -309, -304, -307, -311, 
##     -316, -292, -299, -306, -314, -304, -305, -313, -295, -312, 
##     -304, -386, -393, -414, -434, -526, -527, -537, -551, -559, 
##     -549, -562, -561, -558, -562, -550, -544, -554, -306, -302, 
##     -295, -288, -294, -295, -296, -298, -280, -301, -298, -300, 
##     -299, -304, -301, -297, -295, -289, -298, -283, -305, -306, 
##     -314, -356, -406, -429, -422, -422, -423, -429, -422, -296, 
##     -318, -370, -371, -386, -400, -395, -394, -411, -412, -411, 
##     -413, -410, -384, -362, -348, -333, -312, -317, -287, -303, 
##     -304, -301, -304, -296, -296, -294, -282, -281, -300, -285, 
##     -292, -303, -420, -415, -419, -412, -420, -423, -418, -421, 
##     -406, -413, -425, -428, -421, -421, -415, -407, -423, -421, 
##     -413, -411, -415, -408, -416, -405, -415, -416, -421, -415, 
##     -408, -401, -417, -422, -423, -434, -429, -430, -425, -415, 
##     -420, -431, -426, -437, -428, -385, -374, -415, -422, -440, 
##     -442, -443, -443, -446, -435, -449, -445, -435, -441, -434, 
##     -449, -440, -445, -449, -528, -520, -507, -501, -490, -482, 
##     -476, -459, -431, -384, -371, -368, -365, -375, -523, -510, 
##     -513, -523, -509, -482, -481, -465, -459, -359, -353, -326, 
##     -319, -320, -339, -356, -511, -503, -502, -449, -422, -389, 
##     -364, -362, -372, -380, -367, -372, -354, -385, -416, -434, 
##     -443, -445, -474, -494, -494, -508, -507, -513, -514, -405, 
##     -416, -450, -455, -461, -457, -460, -396, -368, -342, -343, 
##     -311, -289, -257, -235, -247, -225, -234, -229, -245, -249, 
##     -283, -314, -326, -353, -368, -368, -427, -412, -403, -377, 
##     -341, -338, -331, -318, -291, -280, -272, -261, -259, -255, 
##     -235, -242, -269, -252, -273, -270, -273, -288, -301, -357, 
##     -360, -405, -410, -400, -419, -428, -419, -441, -441, -427, 
##     -443, -428, -432, -338, -344, -332, -325, -326, -306, -307, 
##     -470, -478, -466, -481, -470, -434, -415, -412, -389, -370, 
##     -349), roll_arm = c(-128, -128, -128, -128, -128, -128, -128, 
##     -129, -129, -129, -129, -129, -129, -129, -129, -129, -129, 
##     -129, -129, -129, -129, -130, -130, -130, -130, -130, -130, 
##     -130, -130, -130, -130, -130, -130, -131, -131, -131, -131, 
##     -131, -131, -131, -131, -131, -131, -131, -131, -131, -131, 
##     -131, -131, -131, -131, -131, -131, -131, -131, -131, -131, 
##     -131, -131, -131, -131, -132, -132, -132, -132, -132, -132, 
##     -132, -132, -132, -132, -133, -133, -133, -133, -133, -133, 
##     -133, -133, -133, -133, -133, -133, -133, -134, -134, -134, 
##     -134, -134, -134, -134, -134, -134, -135, -135, -135, -135, 
##     -135, -135, -135, -135, -167, -168, -168, -169, -169, -169, 
##     -170, -171, -171, -171, -172, -172, -172, -172, -173, -173, 
##     -174, -174, -174, -174, -174, -175, -175, -175, -175, -176, 
##     -176, -8.81, -8.6, -8.36, -8.14, -7.92, -7.41, -6.99, -6.61, 
##     -5.69, -5.23, -5.02, -4.45, -4.86, -5.11, -4.97, -2.23, -2.16, 
##     -1.95, -1.83, -1.71, -1.37, -1.21, -1.02, -0.95, -0.46, -0.35, 
##     -0.24, -0.15, 0.09, 0.26, 0.55, 1.04, 0.98, 0.95, 0.99, 1.3, 
##     1.37, 1.53, 1.61, 1.59, 1.54, 1.58, 1.5, -0.25, -1.42, -2.55, 
##     -5.84, -8.4, -10, -14.9, -17.9, -133, -141, -145, -149, -149, 
##     -150, -150, -150, -151, -152, -157, -160, -162, -175, 175, 
##     101, 64.4, 56.9, 38.8, 38, 41.7, 39.8, 38.5, 38.3, 38.4, 
##     38.5, 39.2, 45.2, 72.7, 79.9, 96.9, 106, 124, 148, 151, 168, 
##     170, 170, 170, 170, 170, 171, 170, 167, 166, 165, 164, 162, 
##     159, 155, 133, 125, 128, 137, 143, 145, 146, 147, 148, 149, 
##     149, 150, 148, 147, 146, 145, 142, 133, 125, 123, 119, 119, 
##     118, 116, 114, 105, 104, 103, 103, 103, 105, 108, 111, 116, 
##     117, 123, 125, 127, 130, 131, 131, 132, 133, 133, 132, 132, 
##     132, 145, 146, 147, 147, 147, 146, 146, 144, 143, 141, 138, 
##     138, 139, 139, 138, 138, 138, 138, 136, 136, 136, 135, 133, 
##     132, 153, 154, 156, 158, 158, 159, 160, 162, 164, 164, 165, 
##     165, 165, 164, 163, 162, 160, 160, 152, 150, 145, 143, 127, 
##     105, 88.4, 71.8, 67.6, 67.1, 69.2, 70.7, 72.1, 80.8, 91.6, 
##     96, 102, 108, 114, 154, 158, 175, 177, 179, -180, -177, -176, 
##     -175, -174, -173, -173, -173, -172, -173, -173, -174, -175, 
##     -176, -176, 152, 47.2, 27.2, 26.2, 26.1, 26.3, 26.3, 25, 
##     23.6, -134, -134, -133, -125, -123, -90.7, -82, -32.8, -21.3, 
##     -17.8, -16.5, -14.1, -13.1, -12.2, -9.91, -9.48, -8.82, -8.33, 
##     -8.59, -88.9, -89.1, -88.4, -86.3, -84.5, -83.6, -68.6, -35.8, 
##     -31.2, -30.9, -30.5, -29.5, -29.4, -46.3, -46.8, -47.1, -49.4, 
##     -54, -62.6, -63.1, -62.9, -62.3, -58.7, -52.6, -45.4, -34, 
##     -31.4, -26.3, -26, -25.6, -25.3, -24.9, 21.6, 29.9, 30.6, 
##     30, 24.9, 22.7, 28.1, 33.5, 46.2, 87, 148, 175, -172, -168, 
##     -162, -159, -157, -143, -140, -139, -138, -137, -137, -136, 
##     -134, -133, -129, -127, -126, -122, -114, -110, -107, -107, 
##     -98.8, -97.7, -93.7, -91.3, -90.7, -90, -89.4, -85.4, -84.6, 
##     -81.9, -79, -77.5, -74.8, -72.5, -70.8, -70, -65.6, -64.8, 
##     -63.4, -62.6, -60.1, -59.2, -49.1, -43.2, -40.9, -40.8, -40.4, 
##     -36.7, -32.3, -31.6, -30.7, -29.9, -26.4, -24.7, -23, -21.5, 
##     -20, -16.5, -15.5, -10.4, -1.35, -0.58, 0.76, 2.17, 3.95, 
##     7.78, 8.71, 10.2, 13.2, 14.8, 15.7, 26.5, 29.5, 30.2, 30.9, 
##     36, 37.5, 42, 43.5, 44.9, 47.5, 48.3, 49.7, 55.9, 56.7, 58.2, 
##     59, 66, 68.7, 69.6, 71.4, 82.8, 91.5, 105, 107, 113, 122, 
##     145, 150, 153, 159, 162, 165, 171, -175, -168, -156, -150, 
##     -148, -141, -133, -127, -126, -117, -111, -111, -107, -106, 
##     -105, -101, -63.9, -64.4, -65, -73.9, -78.2, -83.5, -86.9, 
##     -90.8, -91.5, -92.3, -92.8, -90.3, -84.4, -98.8, -97.8, -95.9, 
##     -92.7, -90.4, -87.4, -86, -85.3, -75.2, -72.9, -72.2, -70.2, 
##     -68.9, -67.6, -66.2, -64.3, -63.2, -61.3, -60.5, -57.8, -54.3, 
##     -52.8, -50.9, -42.9, -25.6, -22.4, -17.8, -16.4, -14, -10.9, 
##     -8, 1.5, 4.4, 7.97, -42.1, -41.3, -39.6, -37.2, -34.8, -34.1, 
##     -31.6, -30.7, -29.2, -20.7, -18.1, -16.4, -13.7, -13, -11.3, 
##     -7.8, -6.78, -2.85, 0.45, 3.27, 5.57, 11.5, 12.3, 13, 13.7, 
##     14.4, 17.4, 18.9, 27.5, 30.7, 33.2, 33.9, 39.7, 40.3, 41.5, 
##     43.7, 46.7, 48.1, 49.5, 55.1, 58, 58.5, 59.2, 67.2, 67.7, 
##     68.9, 73.9, 81.3, 83.2, 94.6, 96.6, 102, 104, 110, 111, 124, 
##     143, 146, 149, 156, 169, 179, -177, -163, -152, -148, -146, 
##     -144, -135, -131, -130, -127, -124, -121, -119, -114, -112, 
##     -108, -107, -106, -98.3, -97.7, -90.1, -87.7, -85, -83.6, 
##     -65.2, -54.4, -56.4, 33.4, 38.9, 43.4, 48.5, 49.7, 50.9, 
##     54.3, 55.4, 56.9, 59.4, 61, 62, 64.6, 65.8, 66.4, 70.5, 71.2, 
##     76, 78.9, 80.7, 87.8, 113, 121, 132, 148, 179, -163, -146, 
##     -139, -129, -126, -115, -114, -113, -112, -33, -32.3, -31, 
##     -30.4, -29.9, -30, -29.6, -29.3, -29.9, -31.1, -29.4, -28.6, 
##     -27.6, -26.6, -25.5, -23, -21.8, -2.95, 0.34, 6.29, 6.21, 
##     6.15, 7.17, 8.73, 9.93, 10.3, 11.2, 12.1, 12.5, 12.5, 12.4, 
##     10.6, 9.99, 9.08, 3.03, -15.4, -22.4, -54.1, -77.3, -88.5, 
##     -89.4, -90, -90.7, -90.3, -85.5, -81.1, -11, -3.62, 2.28, 
##     11.2, 13.6, 14.3, 14.1, 12.8, 12.2, 10.6, 9.75, 12.6, 14, 
##     14.7, 18.7, 19, 21, 20.9, 20.3, 19, -53.5, -97.2, -97.6, 
##     -99.3, -97.7, -95.2, -33.2, -29.8, -24.5, -20.5, -16.3, -12.1, 
##     -12, -11.9, -13.9, -14.7, -6.1, -3.81, 2.56, 3.53, 5.24, 
##     6.16, 10.8, 12, 13.1, 14, 23.2, 30.7, 34.2, 34.2, 33.4, 32.1, 
##     30.1, 30.3, 31.1, 32.2, 34.8, 39.8, 44.2, 45.4, 46.8, 48.5, 
##     50.6, 68.2, 109, 153, 176, -175, -162, -153, -148, -145, 
##     -141, -139, -136, -133, -127, -99.6, -92.6, -85, -77.1, -27.4, 
##     -13.7, -14.3, -15.1, -15.9, -16, -15.2, -5.21, -2.83, 12.1, 
##     13.2, 14.9, 16.1, 13.5, 12.8, 11.5, 10.4, 8.76, 8.87, 6.48, 
##     5.38, 2.96, -13.8, -20.1, -28.9, -48.9, -50.6, -51.5, -51.7, 
##     -51.7, -51.6, -42.4, -21.9, -15.9, -6.29, -5.17, 13.8, 14.6, 
##     16.7, 17.7, 18.8, 18.9, 20.2, 19.8, 17.7, 16.8, 16.2, 14.6, 
##     12.9, 1.9, 0.82, -4.17, -6.85, -0.63, 0.77, 1.97, 3.27, 5.5, 
##     6.36, 6.98, 7.98, 11.5, 12.5, 9.58, 6.78, 3.83, 2.59, 1.5, 
##     2.83, 5.01, 5.95, 8.12, 10.8, 12.1, 15.1, 17.6, 21.2, 23.9, 
##     28.4, 30.7, 34.6, 34.3, 33.3, 31.4, 31, 30.5, 30.3, 29.6, 
##     30.1, 30.6, 32.8, 33.1, 33.5, 33.9, 34.5, 35.1, 6.44, 14.7, 
##     18.9, 20, 22.3, 23.6, 26.3, 28.8, 31.8, 32.7, 35.7, 36.9, 
##     38, 39.1, 41, 41.8, 44.3, 45.2, 45.5, 44.9, 43.1, 41.9, 41.3, 
##     76.1, 78.1, 77.3, 77.4, 77.5, 78.1, 78.2, 78.1, 78.1, 77.9, 
##     77.7, 77.4, 77.1, 76.7, 76.7, 76.8, 76.8, 76.8, 76.8, 76.9, 
##     76.7, 76, 75.8, 75.6, 75.4, 75.3, 75.1, 75.1, 75.1, 75.2, 
##     75.2, 75.2, 75.2, 75.2, 75.3, 76.1, 76.4, 74.5, 74.4, 74.3, 
##     74.2, 74.2, 74.2, 74.2, 74.1, 74.1, 74, 73.9, 73.9, 73.9, 
##     73.7, 73.6, 73.6, 73.6, 73.6, 73.6, 73.6, 73.5, 73.4, 73.3, 
##     73.2, 73.2, 73.2, 73.1, 73.1, 72.9, 72.9, 72.9, 72.8, 72.7, 
##     72.6, 72.6, 72.6, 72.3, 72, 72, 71.9, 71.8, 71.5, 71.5, 71.4, 
##     71.4, 71.4, 71.4, 71.5, 71.4, 71.4, 71.4, 71.4, 71.4, 71.2, 
##     71.1, 71.1, 71.1, 71, 71.4, 72.8, 73.1, 73.5, 73.4, 73.3, 
##     72.9, 72.8, 72.7, 72.6, 72.5, 72.8, 73.9, 74, 74.1, 74, 74, 
##     74.3, 74.3, 74.3, 74.3, 73.4, 72.1, 68.8, 61, 56.9, 48.8, 
##     44.1, 42.1, 41.5, 41, 40.4, 40.9, 43.3, 45.1, 50.1, 58, 67.2, 
##     89.4, 67.4, 71.1, 71.5, 71.8, 72.3, 74.3, 75.1, 75.4, 75.1, 
##     74.8, 74.4, 72.1, 71.1, 62.9, 61.6, 56.5, 50.9, 51, 52.2, 
##     53.6, 71, 76, 108, 112, 119, 122, 127, 123, 121, 118, 97.1, 
##     81.3, 77.9, 72.9, 71, 75, 75.4, 75.6, 76, 75.7, 75.1, 74.6, 
##     73.9, 68.8, 67.5, 64.1, 60.9, 60.1, 59.5, 59.4, 67.4, 73.9, 
##     106, 112, 116, 118, 118, 116, 114, 103, 94.7, 81.9, 79.8, 
##     77.8, 74.4, 70.5, 69.3, 123, 124, 121, 115, 113, 110, 99.9, 
##     87.2, 85.1, 75.6, 76.1, 78.9, 79.7, 81.3, 82.1, 84.7, 84, 
##     83.9, 83.9, 83.5, 80.8, 78.5, 73.6, 71.5, 70.4, 71.4, 74, 
##     75.2, 77.8, 81.8, 83.6, 89.6, 115, 123, 122, 116, 109, 98.6, 
##     94.1, 91.5, 84.7, 82.7, 80.9, 79.4, 77.2, 74.1, 73.7, 73.7, 
##     74.6, 76.5, 76.8, 76.8, 76.6, 76.4, 76.1, 75.8, 75.5, 75.9, 
##     76.7, 78.1, 78.6, 78.9, 78.2, 77.7, 77.2, 75.3, 70.4, 69.6, 
##     66.6, 68.9, 77.2, 81.1, 93.9, 98.5, 113, 119, 122, 123, 125, 
##     124, 123, 122, 79.6, 81.9, 82.4, 82.5, 84, 85.7, 84.8, 84.8, 
##     84.9, 85, 83.6, 81.9, 80.9, 79.9, 77.7, 75.5, 74.9, 73.5, 
##     72.9, 75.8, 77.7, 88.2, 107, 128, 127, 102, 96.1, 78.3, 76.8, 
##     73.8, 73.4, 74.4, 74.9, 75.5, 75.7, 75.9, 76.6, 79, 81.5, 
##     84.9, 82.8, 81.7, 81.2, 82.1, 82.5, 82.5, 82, 78.7, 74.2, 
##     73.1, 70.8, 72.6, 73.8, 79.9, 93.6, 102, 106, 130, 124, 109, 
##     106, 97.8, 94.6, 84.8, 81.6, 80.6, 78, 76.3, 83.3, 83.5, 
##     82.9, 82.9, 83, 79.4, 79.8, 79.4, 79.1, 78.9, 79.4, 80.8, 
##     86.1, 92.2, 94.5, 99.8, 119, 122, 131, 137, 135, 134, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, -135, -135, -135, -135, -135, -135, -135, -135, -135, 
##     -135, -135, -136, -136, -136, -136, -137, -137, -137, -137, 
##     -137, -137, -137, -137, -137, -137, -137, -137, -137, -137, 
##     -137, -137, -137, -137, -137, -137, -137, -137, -137, -138, 
##     -138, -138, -138, -138, -138, -138, -138, -138, -138, -138, 
##     -138, -138, -138, -138, -138, -138, -138, -139, -139, -139, 
##     -139, -139, -139, -139, -139, -139, -139, -139, -139, -139, 
##     -139, -139, -139, -139, -139, -139, -139, -139, -139, -140, 
##     -139, -139, -140, -140, -140, -140, -140, -140, -140, -140, 
##     -140, -140, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -141, -141, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -141, -141, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -141, -141, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -142, -142, -142, -142, -142, -142, -142, -142, -143, -143, 
##     -143, -143, -143, -143, -144, -144, -144, -144, -144, -144, 
##     -144, -144, -144, -144, -144, -144, -144, -144, -144, -144, 
##     -144, -145, -145, -145, -145, -145, -145, -146, -146, -146, 
##     -146, -146, -146, -146, -146, -146, -146, -146, -146, -146, 
##     -146, -146, -146, -146, -147, -147, -147, -150, -152, -153, 
##     -154, -157, -157, -158, -159, -159, -158, -158, -157, -46.1, 
##     -2.87, 1.03, 2.41, 8.74, 9.2, 10.3, 11.9, 15.5, 15.3, 15.4, 
##     15.7, 16.2, 22, 28, 30.9, 34.2, 41.3, 43.8, 52.1, 53.9, 55.1, 
##     68.6, 75.7, 104, 111, 129, 134, 151, 154, 164, 166, 173, 
##     173, 169, 151, 142, 88.5, 69.5, 59.9, 56.3, 45, 42.9, 37.7, 
##     36, 34.1, 37, 40.7, 41.4, 42.4, 43.4, 44.3, 49, 53.8, 55.3, 
##     53.2, 55.5, 57.4, 63, 62.8, 64.2, 66.9, 66.8, 104, 107, 102, 
##     95.1, 91.7, 89, 88, 83.4, 79, 76.1, 72.1, 70.4, 69.3, 68.7, 
##     67.1, 66.9, 67.1, 76.2, 80.8, 81.6, 81.9, 79.7, 77.6, 75.1, 
##     73.7, 71.4, 70.7, 70.3, 69, 69.6, 70.1, 72.1, 75.1, 76.7, 
##     82, 112, 130, 131, 131, 129, 127, 125, 122, 111, 107, 103, 
##     99.9, 97.1, 83, 72.6, 67.3, 65.4, 63.7, 64.3, 64.8, 65.6, 
##     68.1, 77.1, 76.8, 74.4, 68.3, 66.5, 66.2, 66, 67.8, 68.6, 
##     69.2, 69.2, 68.9, 73.8, 76.1, 127, 129, 130, 130, 121, 113, 
##     112, 109, 93, 81.6, 78.5, 71.3, 69.7, 68, 67.1, 66.5, 66.3, 
##     66.6, 66.7, 66.9, 68.7, 70.4, 72.3, 75.9, 76.3, 76.2, 76, 
##     74.5, 73.6, 71.7, 66.8, 71.9, 72.3, 73.3, 79.2, 89.1, 107, 
##     111, 121, 127, 130, 132, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 60.8, 58.9, 83.9, 83.6, 83.4, 82.7, 82.5, 82.3, 82.1, 
##     82.2, 82.2, 82, 82, 82, 79.4, 79.3, 79.3, 80.4, 76, 75.4, 
##     75.2, 75.1, 74.9, 74.8, 75.4, 27.7, 26.4, 25.4, 21.3, 21.2, 
##     21.1, 18, 16.7, 14.7, 12.4, 7.51, 6.54, 37.3, 37.9, 38.6, 
##     39.2, 42.6, 45.3, 49.3, 50.4, 51.7, 51.2, 50.5, 43.9, 37.4, 
##     34.6, 29.7, -6.97, -9.84, -11.5, -9.88, -8.81, -6.03, -2.99, 
##     0.9, 4.88, 10.9, -39, -35, -28.6, -18.9, -16.9, -15.9, -15.9, 
##     -16.1, -20.6, -21.2, -20.5, -18.8, -106, -105, -103, -101, 
##     -100, -98.2, -95.9, -94.9, -92.9, -63.3, -51, -48.3, -8.37, 
##     -6.63, 3.91, 6.87, 7.88, 15.2, 17.3, 23.1, 24.1, 27.4, 29.2, 
##     -48.6, -47.8, -41.1, -40.3, -39.6, -38.3, -36.3, -34.9, -32, 
##     -30.6, -25.2, -23.7, -23.1, -22.3, -18.6, -15.4, -11.9, -62.8, 
##     -63.1, -62.5, -61.9, -61.2, -60.3, -59, -55.2, -52.4, 139, 
##     139, 139, 139, 139, 141, 141, 141, 143, 143, 143, 143, 142, 
##     142, 140, 140, 146, 146, 147, 148, 150, 151, 151, 150, 151, 
##     151, 151, 152, 152, 152, 152, 154, 154, 154, 155, 155, 155, 
##     156, 156, 156, 156, 157, 157, 157, 157, 158, 159, 160, 161, 
##     161, 162, 163, 164, 164, 164, 164, 165, 166, 167, 167, 167, 
##     167, 168, 168, 168, 168, 168, 169, 169, 170, 171, 172, 172, 
##     176, 176, 177, 177, 178, 178, 180, -180, -178, -178, -177, 
##     -177, -176, -174, -173, -172, -172, -171, -169, -169, -168, 
##     -168, -167, -167, -166, -166, -165, -165, -160, -159, -159, 
##     -158, -134, -129, -125, -124, -121, -120, -119, -118, -117, 
##     -117, -115, -115, -114, -114, -113, -113, -113, -113, -113, 
##     -112, -111, -109, -108, -106, -106, -104, -102, -99.9, -98.5, 
##     -97.4, -97, -95, -93.6, -93.4, -93.1, -91.1, -90.8, -90.5, 
##     -89.6, -89.1, -87.9, -87, -85.1, -84.6, -84.4, -84.1, -83.7, 
##     -83.5, -82.6, -82.3, -82.1, -81.6, -81.4, -81.2, -80.8, -80.1, 
##     -79.7, -79.3, -112, -116, -118, -123, -125, -126, -125, -125, 
##     -124, -125, -126, -125, -124, -123, -123, -123, -123, -117, 
##     -116, -116, -114, -114, -113, -113, -113, -113, -113, -113, 
##     -113, -114, -113, -113, -113, -113, -113, -113, -112, -111, 
##     -111, -110, -110, -110, -109, -108, -108, -107, -106, -105, 
##     -105, -104, -104, -103, -103, -102, -102, -100, -99.8, -98.2, 
##     -96.1, -85.7, -79.4, -69.8, -66, -66.4, -67.2, -68, -70, 
##     -70.6, -68, -67.7, -67, -66, -65.6, -64.2, -63.7, -65, -65.2, 
##     -65.1, -64.9, -64.8, -64.7, -64.6, -64.5, -64.5, -64.5, -64.5, 
##     -64.4, -64.4, -64.3, -84.3, -90.3, -87.9, -88.1, -88.2, -88, 
##     -87.5, -84.7, -80.6, -66.7, -60.8, -59.4, -57.3, -49.6, -49.7, 
##     -50.5, -50.8, -51.6, -52.4, -53, -53, -48.2, -52.5, -49.9, 
##     -47.8, -39.5, -31.8, -32.4, -35, -35.7, -35.9, -38.6, -40.2, 
##     -39.7, -38.7, -38.3, -37.7, -36.2, -28.6, -26.1, -27.4, -27.4, 
##     -26.3, -26.5, -27.1, -34.2, -39.3, -52.3, -53.1, -53, -52.4, 
##     -51.1, -48.5, -42, -37.9, -36.5, -34.4, -33.1, -27.5, -27.9, 
##     -31.3, -39.2, -39.8, -42.4, -43.6, -44, -42.7, -40.1, -37.1, 
##     -33.3, -27, -26.8, -31.4, -42.7, -44.9, -46.7, -49.7, -50.5, 
##     -55.5, -49, -48, -46.7, -44.2, -41.2, -34.7, -31.9, -30.3, 
##     -29.5, -28.8, -27.3, -26.9, -26.6, -26.5, -34.8, -36.9, -39.5, 
##     -33.2, -32, -30.3, -28.8, -22, -18.1, -18.4, -23.5, -25.4, 
##     -26.4, -27.2, -31.4, -40, -42.9, -48.5, -55.6, -55.2, -54.8, 
##     -53.6, -52.1, -51.3, -49.1, -48.4, -44.3, -43.3, -42.2, -41, 
##     -38.2, -31.5, -30.5, -28, -21.4, -21.2, -21.9, -23.4, -24.1, 
##     -26.4, -27.3, -30.7, -31.4, -31.6, -37.2, -38.4, -38.2, -37.8, 
##     -36.5, -36.1, -35.8, -35.5, -34.9, -34.6, -33.6, -33, -31.9, 
##     -25.8, -24.1, -18.9, -18.3, -19.9, -20.3, -20.6, -20.7, -20.3, 
##     -19.6, -20.7, -21.3, -28.1, -34.3, -24.5, -24.7, -26.5, -29.7, 
##     -32.5, -33.1, -37, -37.6, -38.7, -39.5, -39, -38.7, -38.3, 
##     -33.7, -29.6, -27.7, -23.9, -21.2, -20.4, -20, -20.1, -19.3, 
##     40.5, 35.4, 34.5, 34.4, 34.1, 34.9, 35.1, 35, 36, 37.3, 38.1, 
##     39.5, 40.2, 47.7, 51.8, 53.5, 62.1, 64, 74.7, 79.4, 80.6, 
##     81.7, 83, 67.8, 64, 59.3, 44.6, 41.7, 33.1, 26.6, 26.5, 13.7, 
##     11.3, 10.4, 10.1, 10.1, 9.93, 14.9, 25.1, 32.4, 34.4, 35.4, 
##     37.3, 38.1, 38.9, 39.6, 40.3, 41.4, 42.1, 41.8, 41.5, 41.2, 
##     39.9, 37.9, 37.2, 35.4, 31.1, 28.9, 28.6, 29.3, 34.1, 39.4, 
##     41.3, 42.8, 43, 43.2, 42.2, -42.4, -46.8, -51, -52.6, -54.4, 
##     -56.9, -57.4, -52.5, -50.6, -48.2, -45.9, -42.5, -48.7, -49.8, 
##     -47.9, -45.1, -44.9, -44.7, -45.2, -52.7, -57.8, -61.7, -63.1, 
##     -64.3, -65.1, -65.6, -65.3, -64.1, -63.3, -61.5, -60.8, -59.8, 
##     -59, -122, -122, -122, -122, -121, -121, -121, -120, -119, 
##     -119, -118, -118, -76.2, -76.2, -76.3, -76.9, -77.1, -76.8, 
##     -75.3, -75.1, -75.2, -81.9, -93.1, -96.7, -98.5, -103, -155, 
##     -154, -144, -142, -139, -139, -139, -138, -138, -137, -137, 
##     147, 147, 148, 148, 148, 147, 147, 147, 147, 148, 148, 148, 
##     147, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 121, 
##     118, 109, 107, 81.1, 77.1, 77.3, 80, 78.2, 75.7, 74.3, 65.4, 
##     64.4, 64.3, 66.8, 69.2, 85.4, 94.8, 115, 116, 68.4, 69.1, 
##     70.7, 71.5, 72.3, 73, 74.8, 76.7, 76.2, 75.7, 76.5, 77.2, 
##     77.9, 80.4, 80.5, 60.6, 60.7, 62.7, 63.4, 63.9, 64.4, 65.8, 
##     69.1, 71.4, 72.6, 74.9, 75.3, 75.4, 75.5, 75.3, 74.9, 70.2, 
##     67.9, 58.4, 55.4, 54.5, 54.1, 54.1, 53.8, 53.9, 54.3, 54.7, 
##     55.2, 55.4, 63.2, 65.3, 76.3, 76.3, 76.2, 76.1, 76.1, 75.9, 
##     75.9, 75.7, 75.5, 75.5, 75.6, 75.5, 75.5, 75.5, 75.5, 75.4, 
##     75.2, 75.2, 75.1, 74.8, 64, 64, 68.7, 78.4, 79.1, 80.7, 81.4, 
##     82.1, 85.3, 87.1, 87.1, 86.8, 86.2, 85.8, 85.1, 84.1, 53.9, 
##     54.5, 54.8, 55.4, 59.3, 59.9, 60.2, 60.4, 60.6, 60.6, 61, 
##     61.3, 61.7, 61.9, 61.9, 61.9, 61.9, 62.2, 63.2, 52.2, 50.2, 
##     48.7, 47.3, 45.9, 44.8, 44.8, 45.4, 45.4, 44.7, 49.6, 52.1, 
##     -34.7, -35.5, -36.6, -38.8, -40, -42.7, -49.4, -49.8, -49.3, 
##     -50, -50.2, -49.6, -47.7, -47.3, -9.36, -15.2, -24.4, -33.2, 
##     -41.7, -51, -55.1, -66.5, -69.7, -83.2, -89.2, -17.6, -39.1, 
##     -136, -137, -136, -136, -136, -136, -135, 131, 126, 119, 
##     118, 112, 101, 135, 137, 95.7, 92.8, 91.2, 90.4, 87.8, 84.4, 
##     83, 71.4, 73.3, 74.5, 83.5, 91.4, 97.5, -166, -167, 72, 86.4, 
##     76.5, 72.9, 69.4, 67.6, 58.5, 57.2, 55.4, 54.9, 54.1, 53.8, 
##     53.5, 52.8, 52.6, 53, -26.7, -25.9, -24.9, -24.6, -25.6, 
##     -25, -20.7, -16.8, -14.2, -13.5, -12.8, -11.5, -10.8, -8.96, 
##     -4.87, -4.59, -3.94, -2.25, -1.73, -0.75, -0.41, -0.02, -1.56, 
##     -2.77, -4.88, -5.74, -11.6, -25.4, -36.1, -88.7, -103, -118, 
##     -126, -128, -133, -134, -134, -132, -132, -132, -132, -118, 
##     -77.7, 34.9, 34.7, 34.4, 33.6, 33.2, -153, -153, -153, -151, 
##     -152, -154, -153, -152, -153, -164, -167, -180, 157, 144, 
##     131, 74.1, 62.5, 57.5, 50.8, 49.1, 48.6, 48.3, 47.6, 47, 
##     44.6, 43.7, 41.6, 40, 40.4, 46.9, 52, 55.6, 59.7, 84.4, 114, 
##     168, 180, -175, -174, -175, -175, -173, -172, -175, -176, 
##     176, 138, 108, 96.7, 87.4, 83.4, 80.7, 78.6, 76.8, 76.5, 
##     74.4, 81.9, 87.9, 134, 154, 159, 160, 162, 161, 154, 157, 
##     166, 167, 167, 155, 143, 138, 110, 108, 106, 96.9, 95.7, 
##     99, 104, 117, 139, 141, 142, 142, 137, 135, 136, 139, 141, 
##     143, 147, 155, 106, 110, 122, 125, 131, 133, 140, 140, 140, 
##     136, 131, 139, 144, 147, 147, 147, 139, 137, 134, 125, 121, 
##     118, 117, 116, 115, 113, 114, 116, 118, 119, 119, 125, 124, 
##     124, 124, 119, 116, 120, 123, 128, 138, 134, 133, 134, 135, 
##     135, 136, 133, 131, 125, 122, 117, 117, 113, 139, 130, 127, 
##     125, 125, 124, 124, 124, 123, 121, 116, 113, 110, 109, 109, 
##     107, 109, 109, 109, 109, 107, 109, 111, 111, 113, 117, 121, 
##     122, 123, 124, 145, 146, 148, 144, 144, 142, 141, 140, 138, 
##     134, 131, 121, 118, 116, 107, 101, 98.8, 94.6, 93.3, 93.5, 
##     94.2, 96.4, 99.3, 98.7, 121, 117, 102, 97.1, 89.1, 87.9, 
##     84.6, 82.7, 81.6, 80.9, 80.7, 78.8, 81.8, 83.2, 84.2, 84.5, 
##     84.8, 84.9, 84.9, 84.9, 84.9, 84.9, 85.1, 85.2, 85, 83.5, 
##     84, 85.3, 85.7, 85.8, 85.7, 86.2, 87.2, 87.5, 87.5, 87.3, 
##     87.2, 86.9, 86.8, 87, 87.3, 87.3, 87.3, 87.3, 87.4, 87.4, 
##     87.2, 87.3, 87.4, 87.4, 87.3, 87.2, 87.2, 87.1, 87.1, 87.1, 
##     86.9, 86.8, 86.8, 86.7, 86.6, 86.6, 86.6, 86.3, 86.2, 86.1, 
##     86.1, 86, 86, 86, 86, 86, 86.1, 86.3, 86.7, 86.7, 86.6, 86.4, 
##     85.5, 85.1, 84.6, 81.9, 81.3, 80.6, 78.6, 78.2, 77.8, 111, 
##     101, 91.2, 89.7, 87.1, 85.2, 84.5, 84, 83.7, 84.1, 85, 89, 
##     89.4, 88.8, 88.7, 88.5, 88.3, 88.4, 88.5, 88.7, 87.4, 83.2, 
##     79.5, 78.9, 78, 77.8, 78, 78.6, 93.9, 104, 119, 132, 134, 
##     137, 139, 139, 140, 140, 133, 129, 126, 121, 115, 113, 91.8, 
##     89.1, 84.8, 83.9, 83, 85.7, 84.6, 81.2, 82.2, 84.3, 85.9, 
##     92.3, 102, 105, 112, 115, 117, 119, 130, 131, 134, 137, 138, 
##     138, 134, 115, 112, 110, 107, 104, 98.1, 94.1, 91.7, 90.4, 
##     88.4, 87.1, 85.6, 85.1, 84.6, 84.9, 87.5, 87.5, 87.4, 87.4, 
##     87.6, 88.3, 89.1, 89.9, 90.9, 90.1, 89, 85, 84.4, 85.5, 98.7, 
##     102, 104, 107, 126, 130, 133, 134, 134, 134, 135, 137, 138, 
##     139, 138, 129, 126, 118, 106, 99.8, 97.2, 94.7, 92.9, 86, 
##     84.5, 85.3, 86.8, 90.2, 87.8, 87.2, 89.6, 91.6, 93.9, 99, 
##     105, 106, 108, 120, 139, 139, 139, 139, 139, 140, 140, 139, 
##     136, 105, 95.8, 83.3, 85.8, 87.5, 91.5, 93.9, 96, 99.9, 102, 
##     108, 113, 115, 121, 130, 137, 141, 141, 140, 139, 141, 141, 
##     141, 140, 131, 93.8, 87.6, 87.4, 88.2, 90.8, 92.5, 91.7, 
##     91.7, 91.8, 91.7, 91.6, 90.9, 86.3, 84.2, 83.8, 86.6, 88.3, 
##     98.7, 101, 105, 110, 118, 119, 110, 89.7, 86, 79.5, 77.7, 
##     74.5, 72.8, 71.4, 70, 69.8, 69.8, 70.5, 73.8, 74.9, 77.5, 
##     77.6, 77.6, 77.2, 75.7, 74.7, 73.8, 72, 69.9, 69.2, 68.2, 
##     68.1, 69.7, 74.1, 76.5, 77.2, 85.7, 136, 112, 106, 90.4, 
##     81.4, 79.3, 74.9, 73.3, 72.5, 71.9, 70.7, 70.4, 69.5, 68.5, 
##     68.2, 74.2, 75.1, 75.8, 77.1, 77.1, 73.8, 73.2, 72.7, 73.7, 
##     77.5, 85.3, 91.2, 107, 117, 121, 124, 127, 128, 126, 115, 
##     111, 109, 106, 91.4, 84.3, 76, 70.4, 65, 66.1, 66.2, 66.1, 
##     65.9, 73, 88, 105, 115, 124, 127, 134, 131, 127, 122, 113, 
##     108, 97.2, 82.4, 76.9, 68.9, 62.4, 59.8, 68.1, 68.6, 69.8, 
##     69.5, 63.8, 121, 119, 116, 110, 103, 101, 98.3, 91.8, 87.9, 
##     78.4, 68.1, 62.2, 61.8, 61.7, 61.5, 64.6, 65.3, 65.6, 66.2, 
##     68.6, 68.8, 68.8, 68.2, 68.8, 69, 69.2, 70.1, 70.2, 70.1, 
##     70.1, 70.4, 70.4, 70.5, 70.6, 70.5, 70.6, 70.8, 70.8, 70.7, 
##     70.7, 70.7, 70.7, 70.7, 70.5, 70.5, 112, 101, 93, 77.3, 75.2, 
##     74.4, 73.1, 72.1, 71.8, 73.2, 73.4, 72.9, 72.5, 70.7, 102, 
##     84.6, 83.3, 81.9, 78.9, 76.5, 75.2, 74.7, 73.9, 73.1, 73, 
##     72.9, 72.3, 71.2, 70.3, 71.4, 74.2, 76.2, 78.8, 116, 127, 
##     142, 153, 156, 156, 77, 75.2, 74.9, 73.9, 73.4, 72.6, 72.4, 
##     81.8, 82.4, 151, 152, 153, 153, 151, 150, 149, 142, 104, 
##     99.4, 81.4, 80.3, 80.2, 80, 75.4, 75.3, 73.2, 72.4, 70.5, 
##     71, 76.3, 84.1, 110, 72.7, 72.2, 72, 72.1, 72.3, 72.7, 73.6, 
##     73.7, 74.1, 74.4, 74.9, 75, 72, 70.5, 67.3, 147, 125, 121, 
##     118, 103, 84.1, 82.5, 80.3, 77.2, 77, 76.7, 76, 76.1, 77.8, 
##     78.4, 78.7, 78.7, 74.3, 73.8, 71.8, 68.7, 69.7, 73.3, 75.7, 
##     78, 83.4, 134, 140, 145, 148, 157, 158, 157, 153, 151, 134, 
##     112, 107, 99.4, 85.7, 83.9, 83.3, 81.7, 80.3, 78.7, 77.6, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 53.7, 52.9, 46.9, 46.1, 45.8, 45.4, 46.2, 50.6, 51.4, 
##     55.8, 61.8, 63.6, 126, 138, 141, 147, 152, 161, 174, 177, 
##     -172, -140, -138, -136, -129, -128, -128, -128, -128, -128, 
##     -128, -128, -116, -115, -111, -108, -106, -105, -67.5, -56.1, 
##     -46.2, -37.8, -34.6, -28.9, -26.7, -24.8, -23.4, -20.9, -23.5, 
##     -25.5, -26.9, -32.4, -37.5, -50.5, -56.5, -57.7, -57.9, -34.6, 
##     -28.6, -18.3, -14.7, -5.01, 3.44, 2.16, 0.31, -1.39, -2.41, 
##     -4.5, -14.5, -42.9, -55.7, -45.4, -39.9, -34.6, -24.4, -22, 
##     -17, -15.7, -11.6, -11.1, -10.5, -9.96, -15.5, -24.4, -27.8, 
##     -36.9, -40.1, -45.2, -50.8, -59.2, -62.2, -65.3, 10.8, 12.2, 
##     12.9, 12.7, 11.5, 11.3, 10.3, 8.78, 4.46, 0.36, -0.82, -1.88, 
##     -8.69, -9.41, -9.87, -9.96, -9.69, -103, -110, -100, -34.3, 
##     22.7, 25.1, 24.7, 24.8, 24.3, 22.4, 21.3, 18.3, 17.7, 17.3, 
##     18.6, 19.8, 18.9, 16.1, 14, 14.5, 12.9, 11, 6.77, 6.32, 5.5, 
##     5.43, 6.15, 6.75, 11.2, 11.3, 11.5, 12.3, 9.87, 3.36, -1.07, 
##     -8.15, -9.62, -25.2, -82.4, -123, -128, -130, -135, -136, 
##     -138, -139, -117, -6.6, 16.9, 29.1, 30, 29.8, 28.4, 25.6, 
##     24.5, 23.1, 8.12, 9.06, 8.95, 10.7, 11.8, 10.9, 10.7, 10.4, 
##     3.58, 2.34, -7.31, -9.45, -17.8, -28.3, -51.5, -87.1, -101, 
##     -165, 47, 38.6, 39.4, 39.7, 39.9, 40.4, 36.9, 35.1, 34.1, 
##     32.4, 28.5, 28, 24.6, 22.8, 22.6, 21.9, 15.3, 12.9, 11, 8.38, 
##     -3.84, -10.9, -49.7, -63.7, -99.7, -111, -116, -111, 13.7, 
##     21.9, 29.7, 32.1, 32.5, 25.6, 22.8, 20.2, 18.9, 17.6, 17.3, 
##     17.4, 17.9, 18.7, 21.2, 22.9, 23.2, 23.4, 23.7, 23.9, 22.9, 
##     21.5, 20.7, 19.6, 19.2, 18.8, 18.4, 13.9, 12.9, 4.74, -15.4, 
##     -20, -23.7, -28.4, -31.6, -35.2, -57.4, -80.3, -102, -114, 
##     -112, -107, -78.5, -20, -5.37, 10.2, 14.8, 20.7, 22.7, 25.4, 
##     21.8, 20.8, 20.4, 20.6, 20.9, 21.2, 22.1, 22.7, 23.3, 23.8, 
##     24.5, 24.9, 26.2, 27, 29.4, 29.6, 28.8, 25.4, 24.3, 22.3, 
##     20.8, 20.3, 19.8, 19.3, 18.9, 18.5, 15.9, 15.6, 15, 10, -8.72, 
##     -12, -20, -23.7, -48.8, -73.4, -88.1, -139, -144, -145, -147, 
##     -148, -146, 13.9, 25, 28.3, 26.8, 25.3, 34.2, 29.3, 28.2, 
##     26.6, 25.9, 26.3, 32.5, 33, 33.5, 34, 37, 37.4, 21.9, 20.1, 
##     19.2, 18.7, 17.1, 16, 14.6, 12.8, 11, -7.95, -6.77, -4.36, 
##     0.81, 6.03, 5.86, 3.28, -0.5, -1.66, -3.01, -9.53, -15, -29.5, 
##     -34.2, -39.2, -45.4, -53.1, -61.2, -69.3, -77.2, -79.6, -75.9, 
##     -71.3, -64.9, -51.8, -28.2, -9.48, -0.17, 6.73, 12.3, 14.9, 
##     64.5, 70.7, 71.9, 72.9, 74.1, 78.2, 79.6, 86.2, 89, 91.1, 
##     94.4, 95.5, 101, 103, 104, 106, 108, 118, 28.1, 25.8, 25.1, 
##     24.6, 24.8, 25.2, 25.5, 27.1, 27.8, 9.04, 6.83, 6.59, 13.7, 
##     14.5, 16.6, 17.2, 17.4, 16.4, 15.9, 14.2, 12.6, 10.9, 9.44, 
##     7.25, 6.14, -0.75, -22.7, -28.5, -44.5, -52.4, -54, -55.1, 
##     -57.3, -58, -57.7, -56.3, -55.3, -53.1, -51.9, -46.4, -45.6, 
##     -43.7, -38.6, -42.1, -42.4, -42.4, -41.8, -39.3, -29, -27.3, 
##     -24.5, -26, -28.7, -29.8, -30.8, -34.9, -36, -38.2, -40.8, 
##     -46.3, -48.5, -49.3, -51.7, -52.7, -53.7, -56.8, -58.5, -60.6, 
##     -59.8, -59.1, -57.5, -52.9, -46.9, -40.8, -39.2, -36.2, -25.8, 
##     -22.1, -22, -23.9, -25.2, -26.9, -28.6, -30.3, -33.8, -36.4, 
##     -38.3, -38.9, -38.9, -37.3, -36.2, -36.3, -39.4, -40.1, -39.5, 
##     -38.8, -38.4, -33, -29.5, -32.5, -33.2, -33.9, -37, -39.9, 
##     -44.5, -49.5, -50.2, -54.2, -57.3, -60.4, -60.9, -57.9, -55.6, 
##     -51.7, -39.9, -33.7, -25.4, -24.6, -24, -23.8, -25.8, -27.3, 
##     -29.3, -29.8, -31.3, -33, -33.4, -40.8, -43.7, -43.7, -44.2, 
##     -44.4, -43.7, -41.6, -40.2, -37.7, -35.8, -34.7, -32.3, -29.6, 
##     -28.2, -26.6, -62.5, -65.3, -65.4, -65, -63.3, -61.6, -58.3, 
##     -57, -55.8, -51.8, -50.6, -49.4, -48.3, -45.4, -42.2, -41.4, 
##     -40.3, -38.7, -34.7, -32.7, -40.5, -40.7, -41, -41.1, -41.1, 
##     -40.6, -40.1, -40.1, -40, -34.3, -27.5, -28.5, -29.3, -39.2, 
##     -42.4, -44.9, -51, -56.5, -63.8, -79.7, -94.3, -96.8, -99.5, 
##     -100, -98.9, -98.3, -93.2, -90.8, -86, -72.3, -69.7, -62.7, 
##     -53.1, -47.8, -42.8, -38.3, -38.7, -39, -41.6, -42.8, -51.4, 
##     -51.8, -51.9, -52, -50.3, -49.2, -46, -44.3, -42.5, -36.6, 
##     -34.1, -30.4, -30.4, -36, -38.5, -55.2, -73.9, -75.3, -76.9, 
##     -82.7, -88.3, -90.2, -90.5, -91, -91.4, -90.2, -84.3, -82.7, 
##     -81.3, -74.9, -68.6, -63.5, -49.4, -47, -42.1, -39.2, -39.8, 
##     -41.4, -42.5, -42.9, -42.9, -45.6, -47.2, -48.8, -52.6, -52.9, 
##     -54.1, -54.5, -54.9, -56.3, -56.2, -55.9, -52.4, -51.2, -43.8, 
##     -43.1, -46.5, -47.5, -53.7, -60.7, -62.4, -68.1, -76.3, -79, 
##     -81.5, -82.6, -83.8, -39.9, -40.3, -40.8, -41.9, -42, -41.6, 
##     -40.9, -41, -41.3, -41.9, -45.2, -49, -48.7, -46.3, -40.9, 
##     -40, -40.1, -39.8, -40, -40.4, -41, -44.2, -45.8, -47.2, 
##     -58.5, -67.8, -71.5, -73.9, -80, -81.2, -82.4, -85.4, -85.1, 
##     -84.9, -84.5, -84.2, -83.9, -83.4, -82.8, -80, -78.8, -77.5, 
##     -69.3, -67.5, -61.9, -59.3, -57.2, -42.8, -39, -52, -50.7, 
##     -49.2, -45.2, -41.8, -39.7, -41.2, -46.7, -51.9, -54, -55.8, 
##     -61.2, -62.7, -65.7, -68.8, -70.3, -75.9, -84, -87.2, -86.9, 
##     -86.6, -70.1, -68, -65.9, -59.5, -58, -56.6, -52, -50.4, 
##     -48.3, -46.6, -38.8, -36.5, -37.2, -38.2, -39.6, -41.6, -44.2, 
##     -45.4, -48.2, -46.7, -46.9, -51.3, -51.6, -51.8, -39.4, -37.2, 
##     -30.2, -30, -33.1, -36.2, -46.7, -49.5, -58.1, -69.5, -71.7, 
##     -86.5, -85.1, -82.7, -72.5, -70.6, -67.5, -66, -62.5, -55.5, 
##     -54.3, -52.7, -50, -44.8, -36.6, -35.9, -36.3, -36.9, -38.6, 
##     -41.9, -42.6, -42.8, -41.8, -41.5, -44, -44.5, -43.5, -40.5, 
##     -37.4, -35.2, -34.8, -34.2, -34.1, -34.2, -34.4, -34.6, -34, 
##     -33.7, -34.3, -36.1, -37.5, -39.5, -44.1, 31.1, 29.1, 26.7, 
##     -1.15, -0.48, 0.38, 1.47, 0.55, 7.46, 9.87, 12.2, 15.8, 25, 
##     27.7, 29.4, 29.8, 29.6, 28.4, 28.5, 28.5, 28.2, 28.1, 28, 
##     26.7, 24.8, 22.1, 20.6, 18.9, 17.2, 13.8, 11.9, 10.3, 7.09, 
##     6.22, 5.25, 4.81, 8.78, 9.85, 11.8, 12.1, 13.7, 13.9, 13.9, 
##     10.9, 10.1, 8.92, 6.74, -0.22, 1.91, 3.95, 4.66, 14.4, 19.5, 
##     22.9, 27.8, 29.1, 31.6, 32.7, 33.8, 34.8, 37.7, 38.7, 40.5, 
##     42.1, 44.7, 45.2, 45.6, 50.8, 52.7, 53.7, 54.4, 54.5, -40.9, 
##     -42.7, -47.1, -48, -48.3, -48.7, -49, -50.4, -52.5, -52.9, 
##     -52.9, -52.4, -85.8, -85.3, -80, -76.8, -75.6, -74.3, -72.8, 
##     -66.9, -54.6, -53.7, -52.9, -52.4, -51.8, -49.9, -43.3, -41, 
##     -28.9, -29.7, -28.5, -29.7, -36.1, -36.8, -37.5, -38, -38.9, 
##     -39.5, -40, -21, -19.9, -20.4, -23.3, -26.5, -31.2, -34.5, 
##     -35.5, -43.1, -44.4, -45, -45.8, -46.5, -47, -56.9, -36.8, 
##     -31.1, -27.1, -27, -29.9, -35.5, -36.4, -36.4, -36.5, -37.1, 
##     -38.3, -39.4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 139, 142, 143, 145, 143, 143, 142, 141, 139, 
##     136, 125, 118, 112, 106, 93.4, 91.3, 92.7, 91.8, 88.6, 87.6, 
##     86.9, 90.4, 90.1, 89.7, 87.8, 87.4, 87.1, 87.2, 87.2, 85.1, 
##     83.2, 82.7, 82.3, 82, 82.5, 85.3, 85.4, 85.6, 85.8, 87.8, 
##     89.4, 89.3, 89.2, 88.7, 87.2, 76.7, 76.4, 77.2, 84.8, 87, 
##     93.3, 98.5, 118, 124, 130, 131, 132, 132, 133, 134, 133, 
##     132, 95, 97.4, 100, 116, 123, 126, 127, 126, 124, 119, 105, 
##     98.5, 93.1, 94.2, 94.6, 95.7, 95.9, 95.9, 95.9, 95.8, 95.7, 
##     94.3, 92.8, 92.1, 89.7, 90.9, 92.2, 108, 108, 111, 117, 118, 
##     126, 132, 135, 136, 138, 140, 140, 156, 154, 153, 141, 139, 
##     137, 134, 125, 123, 117, 103, 28.6, 25.5, 22.4, 21.4, 19, 
##     16.9, 14.4, -1.16, 87.5, 90.6, 77.4, 77.3, 78.4, 77.3, 74.9, 
##     74.1, 74.1, 74.9, 77, 78.9, 82, 66, 62.7, 65.9, 67.8, 69.5, 
##     70.7, 73.7, 75.9, 84.9, 97, 117, 129, 141, 150, 155, 156, 
##     153, 152, 143, 149, 154, 156, 159, 160, 160, 158, 152, 143, 
##     140, 125, 117, 148, 146, 143, 135, 131, 115, 91.8, 84.7, 
##     84.2, 81.7, 80.9, 77.9, 65.2, 66.6, 78.7, 92.1, 97.1, 114, 
##     148, 151, 154, 155, 151, 149, 145, 98.3, 104, 110, 131, 137, 
##     142, 151, 154, 153, 150, 147, 145, 118, 70.2, 70, 69.8, 69.7, 
##     69.7, 69.6, 69.6, 69.4, 69, 68.7, 67.3, 65.5, 64.6, 64.2, 
##     63.9, 63.7, 64.3, 75.7, 63.5, 63.4, 59.8, 58.7, 58, 63.6, 
##     65.7, 65.4, 64.9, 87.5, 100, 114, 118, 122, 126, 130, 134, 
##     134, 133, 65.8, 65.7, 65.9, 66.2, 69.1, 70.8, 71.3, 72.1, 
##     71.5, 68.9, 67.9, 64.4, 63.5, 101, 102, 102, 102, 103, 104, 
##     109, 118, 131, 134, 141, 143, 149, 148, 144, 136, 135, 128, 
##     126, 120, 105, 94.6, 91.9, 88.3, 76.5, 74.2, 73.8, 73.2, 
##     72.4, 71.3, 69.9, 69.8, 71.5, 72.8, 77.6, 78.9, 80.2, 81.5, 
##     89.6, 91.4, 110, 116, 118, 125, 122, 119, 118, 116, 115, 
##     113, 103, 91.2, 84.6, 81, 77.4, 73.9, 63.7, 59.2, 53.7, 48.3, 
##     47.2, 46.9, 46.7, 46.5, 46.3, 46.2, 46.1, 47.2, 49.4, 51.9, 
##     52.6, 55.7, 59.5, 73, 76.2, 21.5, 21.2, 19.4, 18.9, 18.4, 
##     17.7, 16.3, 13.6, 12.4, 9.08, 7.47, 4.93, 4.24, 3.67, 2.49, 
##     1.97, 0.16, 0.06, 0.54, 2.11, 3.18, 2.89, 9.03, 8.9, 9.16, 
##     10.9, 11.6, 14, 14.6, 15, 14.7, 14.4, 13.2, 13, 12.8, 11.2, 
##     10.6, 6.98, 6.74, 7.23, 7.54, 7.82, 6.32, 5.6, 3.6, 0.95, 
##     0.22, -7.93, -10.8, -24.2, -27.8, -27.3, -21.8, -17.6, -4.87, 
##     14.4, 16, 17.3, 18.5, 25.3, 24.8, 26.4, 26.5, 26.2, 26.1, 
##     26.3, 26.3, 25.9, 25.7, 24.8, 24.8, 25.2, 25.4, 26, 26.7, 
##     27.5, 28.6, 122, 119, 116, 110, 99.9, 97.7, 92.8, 84.6, 81.1, 
##     79.5, 78.1, 75.2, 73.9, 73.2, 73.2, 69.6, 69.3, 68.8, 67.8, 
##     67.2, 67.2, 67.3, 68.6, 72.7, 73.6, 82.4, 88.7, 100, 103, 
##     104, 108, 112, 112, 111, 108, 107, 106, 104, 99.8, 98.7, 
##     98.5, 96.6, 93.6, 93.5, 93.9, 93.1, 92.4, 89.8, 78.7, 78.3, 
##     79.2, 79.5, 79.9, 80.9, 84.1, 87.1, 95.7, 110, 110, 109, 
##     106, 101, 101, 99.6, 98.9, 97.9, 98, 98.5, 98, 98.3, 99.7, 
##     99.3, 99.1, 97.6, 82.5, 80, 78.1, 74.9, 73, 71.5, 74, 76.6, 
##     78.3, 80.8, 85.9, 90.6, 92, 91.3, 90.2, 82.4, 83.4, 84.6, 
##     92.4, 93.6, 102, 114, 117, 120, 125, 127, 134, 136, 136, 
##     137, 137, 137, 136, 136, 131, 122, 114, 88, 87.9, 88.6, 88.9, 
##     89.3, 93.1, 94.4, 94.9, 94.9, 95.6, 92.2, 89.7, 89, 87.7, 
##     86.8, 87.2, 88.2, 89.4, 111, 121, 137, 138, 138, 138, 139, 
##     139, 134, 132, 124, 121, 116, 113, 107, 104, 91.2, 90.4, 
##     90, 89.9, 90, 90.1, 92.2, 95.2, 95.3, 95.6, 95.9, 94.9, 94.2, 
##     90.4, 90, 89.5, 89.9, 90.7, 93, 104, 106, 122, 124, 140, 
##     141, 142, 142, 142, 142, 142, 141, 141, 140, 135, 133, 113, 
##     111, 100, 97.2, 92.6, 91.3, 90.5, 88.6, 87.2, 87.9, 88.1, 
##     85, 84.6, 83.5, 82.8, 80.6, 80.1, 79.6, 79.7, 80.3, 80.5, 
##     80.6, 80.6, 80.6, 88.2, 90.6, 92.4, 103, 97.9, 90.1, 85.3, 
##     83.4, 76.2, 75.1, 76.3, 80.1, 79.8, 78.5, 78.1, 77.9, 76.6, 
##     76.3, 75.4, 75.5, 81.2, 89.1, 93.4, 95.6, 93.2, 90.3, 88.9, 
##     85.1, 76.6, 75, 73.5, 71.4, 69.2, 68.8, 69.3, 69.2, 69.6, 
##     69.1, 69.2, 69.8, 70.3, 72.9, 73.5, 73.5, 72.5, 69.7, 68.5, 
##     67.4, 70.1, 73.8, 74.8, 75.6, 77.1, 93.6, 97, 97.2, 97, 91.9, 
##     90.5, 87.7, 85.4, 83.1, 81.6, 76.9, 74.1, 71.4, 70.5, 69.1, 
##     69, 72.7, 77.7, 75.8, 73.9, 82.2, 82.8, 83.1, 83.1, 86.7, 
##     88.9, 91.4, 103, 104, 97, 95, 93.2, 89, 79, 78.9, 78.8, 78.6, 
##     77.7, 77, 76.8, 76, 78.8, 81.7, 88.9, 89.2, 103, 105, 106, 
##     106, 105, 99.6, 81.5, 80.1, 79, 73, 72.9, 72.9, 74.3, 75, 
##     74.6, 74.5, 74.5, 74.5, 75, 75.2, 75.1, 74.7, 74.4, 72.8, 
##     72.2, 94.6, 104, 108, 114, 120, 133, 146, 148, 152, 162, 
##     161, 161, 159, 158, 151, 136, 132, 125, 106, 102, 96.8, 82.4, 
##     77.3, 77.2, 78.5, 78.8, 79.2, 78.7, 78.3, 77.9, 77.4, 76.4, 
##     74.2, 74, 73.8, 73.6, 75.9, 83.5, 89.8, 100, 104, 108, 131, 
##     135, 139, 144, 152, 154, 156, 156, 156, 155, 152, 134, 110, 
##     105, 99.4, 89.9, 82.1, 79.7, 77.7, 77.8, 78.2, 78.4, 79.1, 
##     80.3, 80.7, 80, 72.7, 70, 67.6, 68.4, 134, 133, 130, 81.8, 
##     75.6, 72.7, 71.7, 70.7, 72.2, 72.8, 73.7, 74.7, 75.2, 75.4, 
##     75.5, 75.6, 75.5, 75.4, 75.4, 75.2, 74.8, 75.4, 75.8, 76, 
##     75.9, 77.1, 78.5, 80.5, 81.3, 82.5, 82.4, 81.6, 81.1, 80.6, 
##     79.5, 79.1, 77.6, 77.1, 77, 77.1, 77.3, 79.2, 79.4, 79.6, 
##     80.8, 81.6, 81.7, 81.8, 83.5, 83.6, 81.7, 81.6, 84.1, 84.2, 
##     84.6, 84.5, 80.4, 80.1, 79.1, 77.8, 75.9, 75.7, 74.9, 74.6, 
##     74.4, 74.7, 74.7, 74.5, 73.3, 73.4, 73.8, 74.5, 75, 74.9, 
##     74.4, 74.1, 74.1, 74, 73.9, 73.8, 73.8, 74, 73.8, 73.7, 73.7, 
##     73.4, 73.2, 73, 71.5, 71.1, 70.9, 70.4, 69.6, 71.5, 70.5, 
##     69.8, 65.6, 70.7, 71.7, 72.4, 70.3, 69.9, 69.4, 68.6, 66.6, 
##     68, 68.7, 68.9, 68.9, 69.2, 70.1, 77.2, 79.6, 79.8, 79.3, 
##     77.2, 70.2, 65.5, 64.4, 63.6, 62.7, 62.7, 65.4, 67.6, 66.3, 
##     66.6, 68.7, 70, 71.3, 71.6, 71.6, 71.4, 68.6, 70.6, 72.1, 
##     78.3, 79.4, 74.5, 73.5, 71.8, 71.3, 72.8, 75.2, 75.7, 77.8, 
##     79, 81.5, 82.1, 78.5, 70.4, 67, 66.3, 65.4, 66.8, 69.9, 69.8, 
##     71.4, 71.6, 70.4, 69.9, 68.3, 68, 69.1, 69.9, 73.8, 84.3, 
##     85.3, 86.7, 87.2, 83.5, 81, 70.1, 67.6, 65.6, 64.6, 59.6, 
##     60, 61.7, 62.7, 65.9, 66.7, 67.6, 66.6, 63.9, 64.3, 64.6, 
##     66.8, 73.1, 74.7, 83, 85, 73.6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18.9, 16, 24.9, 
##     25, 23.6, 21.5, 21, 20.4, 19.9, 19.7, 18.7, 17.3, 15, 14.7, 
##     13.1, 13.3, 23.5, 23.6, 23.2, 23.2, 23.8, 25.2, 25.1, 24.7, 
##     23.9, 23.5, 22.8, 22.8, 22.7, 22.6, 22.5, 22.4, -136, -139, 
##     -144, -153, -153, -155, -154, -154, -156, 34.4, 33.8, 31.8, 
##     30, 29.4, 30.4, 29.7, 30, 31, 34, 34.2, 33.4, 32.1, 30.4, 
##     29.6, 30.1, 30.6, 31.1, 31, 30.9, 30.5, 29.6, 29.1, 28.5, 
##     27.7, 27.6, 27.7, 27, 26.8, 26.2, 26.1, 27.3, 27.6, 28.7, 
##     31.5, 31.4, 29.9, 11.8, 5.39, -0.42, -10.8, -13.9, -18.7, 
##     -19.2, -21, -22.4, -23, -24.5, -25.9, -25.6, -23, -21, -20.1, 
##     -18.2, -14.3, -13.1, -11.7, -13.6, -14.7, -19.1, -21.1, -22.5, 
##     -22.3, -22.5, -21.8, -21.5, -21.2, -21.3, -22, -22.1, -11.5, 
##     -10.9, -10.5, -10, -8.36, -6.69, -5.41, -4.61, -4.08, -3.37, 
##     -2.98, -2.27, -1.02, 0.6, 0.65, 0.65, 0.63, 0.63, 0.76, 1.68, 
##     2.33, 3.09, 3.64, 3.76, 3.8, 3.37, 2.19, 1.51, -0.29, -0.77, 
##     -4.26, -5.17, -6.76, -9.24, -11, -15.5, -19.1, -22.3, -22.7, 
##     -22.7, -23.5, -24.3, -21, -20, -16, -15.2, 11.9, 12.3, 11.7, 
##     11.4, 11.4, 11.2, 10.2, 10.5, 10.8, 9.93, 9.03, 8.37, 7.55, 
##     -1.35, -3.37, -5.81, -8.29, -10.9, -12.1, -15.5, -15.9, -19.5, 
##     -20.4, -20.5, -19.6, -18.3, -17.1, -15.6, -7.77, -7.04, -6.92, 
##     -4.98, -5.45, -6.96, -7.09, -7.13, -6.64, -5.8, -5.2, -5.55, 
##     -5.45, -5.25, -5.05, -4.86, -4.67, -5.49, -5.56, -5.37, -5.41, 
##     -5.53, -5.68, -5.7, -5.86, -6.22, -6.44, -9.54, -10.2, -20.3, 
##     -22.5, -22.4, -22.3, -21.9, -21.9, -22.1, -22.3, -21.7, -19.4, 
##     -18.5, -15.7, -14.5, -12.7, -10.4, -9.97, -9.18, -9.79, -9.32, 
##     -9.22, -9.27, -9.63, -9.77, -9.83, -9.52, -8.77, -8.51, -8.65, 
##     -8.74, -8.18, -7.59, -6.94, -6.92, -7.62, -7.84, -14.6, -18.5, 
##     -19.1, -20.7, -21.1, -21.1, -14.3, -14.4, -13.5, -13.8, -13.9, 
##     -13.4, -13.2, -12.5, -11.7, -11.7, -11.6, -11.2, -10.4, -9.85, 
##     -9.89, -9.86, -9.34, -9.34, -10.2, -11.2, -11.9, -13.6, -20.7, 
##     -22, -23.3, -26.7, -29, -29.1, -28.6, -28.1, -27.8, -27.8, 
##     -28.3, -28, -17.3, -13.9, -11.2, -11.2, -12.1, -12.6, -13.9, 
##     -13.9, -13.7, -13, -11.4, -9.21, -9.63, -10.3, -10.4, -10.7, 
##     -12.4, -14, -15.8, -21.1, -22.9, -24.7, -26.1, -26.9, -26.5, 
##     -25.4, -26, -25.1, -21.7, -12, -11.6, -11.1, -10.6, -10.6, 
##     -10.9, -11, -11.2, -11.4, -11.8, -11.7, -11.5, -8.95, -8.19, 
##     -7.24, -8.67, -7.59, -12.4, -15.5, -24.5, -25.4, -25.6, -26.5, 
##     -26.4, -26.1, -25.6, -23.7, -23.2, -22.1, -20.2, -18.1, -15.9, 
##     -13.9, -13.4, -12.5, -12.3, -12.1, -11.9, -12.2, -13.8, -17.2, 
##     -22.1, -22.7, -23.3, -23.7, -21.9, -20.7, -14.2, -12.3, -12.2, 
##     -12.7, -12.8, -12.8, -12.8, -13, -13.2, -14.2, -9.2, -7.58, 
##     -1.73, 0.01, 0.61, 8.28, 8.15, 9.58, 9.35, -26.4, -26.5, 
##     -26.5, -26.4, -28.1, -29.1, -29.6, -30.3, -30.3, -29.8, -28.7, 
##     -28.4, -27.6, -26.9, 21.8, 21.5, 21, 21.5, 22.2, 22.6, 14.6, 
##     13.6, 9, 4.36, -43.6, -114, -121, -124, -4.56, 24.7, 24.6, 
##     25.5, 23.6, 22.2, 19.3, 19.5, 17.5, 17.7, 19.3, 19.8, 20, 
##     19.5, 4.92, 1.92, -1.18, -18.2, -28.7, -45, -54.9, -63.8, 
##     -75.9, -77.3, -80.9, -82.6, -83.8, -83, -35, -35.3, -35.4, 
##     -35.6, -39, -41.9, -41.8, -41.5, -39.9, -39.1, -37, -35.8, 
##     -33.6, -32.7, -33.1, -31.6, -57.4, -59, -60.7, -68.9, -72.6, 
##     -77.6, -83.5, -84.4, -85.4, -85.6, -85.6, -84.1, -83.7, -78.5, 
##     -77.1, -71.9, -70, -68, -64.1, -62.5, -59.7, -56.1, -49.3, 
##     -46.2, -43.6, -37.7, -37.5, -40.1, -41.1, -41.4, -41.2, -41, 
##     -40.9, -41.2, -42.5, -42, -35.9, -28.1, -27.7, -29.7, -31.2, 
##     -33.1, -34.5, -36.3, -37.9, -39.8, -45.4, -47.5, -55.4, -61.7, 
##     -65, -86.6, -88, -93.9, -95.3, -95.6, -94.6, -94.1, -93.5, 
##     -92.4, -90, -77.5, -71.3, -67.5, -66, -58.3, -53.1, -37.3, 
##     -34.6, -34.8, -37.1, -38.4, -42.7, -43.9, -45, -44.8, -44.2, 
##     -44, -44.6, -54.7, -55.8, -54.8, -53.9, -50.1, -48.7, -44, 
##     -36.7, -35.9, -95.6, -94.9, -93.4, -92.9, -92.3, -91.7, -89.9, 
##     -88, -86.9, -82.7, -78.1, -76.5, -74.9, -68.7, -56.9, -54, 
##     -54.7, -53.8, -52.2, -51.5, -50.5, -49.8, -47.3, -43.8, -44.7, 
##     -44.8, -44, -43.5, -43, -41.6, -41.5, -41.5, -41.4, -41.2, 
##     -42.4, -44.7, -45.8, -48.1, -49.7, -50.6, -48.2, -45, -41.3, 
##     -40.4, -36, -35.8, -35.8, -35.9, -36.1, -37.9, -42.6, -46.9, 
##     -47, -45.4, -44.5, -43, -40.7, -39, -37.5, -32.2, -28.9, 
##     -31.1, -31.7, -32.7, -32.9, -32.8, -32.5, -33.7, -37.4, -38.5, 
##     -42.4, -43, -44.4, -44.4, -43.9, -43.2, -42.8, -42.4, -40.4, 
##     -38.9, -38.1, -34.2, -33.9, -33.9, -33.2, -33.2, -36.5, -36.9, 
##     -37.3, -38.3, -41.4, -42, -44.7, -46.5, -44.9, -43, -35.8, 
##     -32.9, -32.2, -30.4, -30.9, -31.3, -35, -34.9, -34.9, -35, 
##     -40.8, -41.1, -42.4, -42.5, -46.6, -45.4, -43.4, -49.6, -49.9, 
##     -44.5, -43.4, -39.6, -37.4, -33, -32.4, -32.5, -32.8, -33, 
##     -33.1, -32.9, -32, -36.2, -37, -38.9, -43.6, -45.2, -46, 
##     -46.6, -46.6, -44, -36.4, -34.7, -32.2, -30.2, -29.1, -28.5, 
##     -28.5, -29.1, -29.2, -29.9, -32.6, -35.3, -40.4, -33.9, -31.8, 
##     -31.5, -30.8, -30.7, -29.9, -30.9, -35.3, -36.3, -38.3, -43.1, 
##     -32.1, -33.7, -35.6, -41.5, -44.3, -44.3, -43.6, -43.6, -43.4, 
##     -43.2, -42.2, -41.1, -37.9, -37.3, -36.7, -36.3, -35.5, -35.1, 
##     -40.1, -39.5, -38.9, -40.8, -41.8, -43.1, -46.5, -47.8, -53.1, 
##     -35.1, -34.9, -34.2, -34.6, -39.2, -41.4, -44.2, -57.3, -60.6, 
##     -69.2, -76.7, -89, -91.4, -92.2, -71.7, -68.5, -63.5, -59.6, 
##     -51.9, -49.6, -46.9, -39.3, -39.9, -38, -34, -34.3, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 76, 74.5, 74.1, 73, 72.5, 72.2, 71.9, 71.6, 71.6, 72.7, 
##     73.4, 77, 77.4, 78.4, 90, 99, 86.6, 80.6, 80, 78.9, 78.9, 
##     80.2, 81, 81.3, 82.5, 83.2, 96.1, 93, 92.9, 93.2, 93.6, 95.2, 
##     96, 96.1, 96.3, 96.5, 95.2, 94, 93.3, 90.6, 90.3, 90, 89.9, 
##     92.2, 93.3, 94.1, 51.1, 49.9, 49.4, 47.8, 51, 53.4, 59.9, 
##     73.6, 88.6, 129, 130, 129, 128, 31.9, 34.3, 37.2, 52.1, 72, 
##     103, 138, 138, 135, 121, 91.6, 64.6, 60.3, 54.1, 53.6, 52.1, 
##     51.3, 2.49, 2.7, 2.85, 3.29, 2.79, 1.33, 0.52, 1.88, 2.84, 
##     5.48, 6.02, 9.22, 21.7, 20.9, 18.9, 18.8, 18.9, 18.7, 18.3, 
##     17.4, 18.9, 20.6, 21.8, 22, 21.9, 20.8, 125, 129, 130, 129, 
##     128, 112, 94.5, 32.1, 29, 24.8, 24, 22.7, 82.4, 83.5, 74.3, 
##     71.9, 71.3, 70.9, 70, 68.8, 68.1, 67.4, 66.9, 66.5, 66, 66.2, 
##     67, 67.3, 70.2, 71.5, 73, 79.5, 80, 78.7, 77.5, 87.8, 130, 
##     134, 137, 140, 144, 146, 149, 151, 139, 54.3, 54.4, 54.1, 
##     54, 53.6, 53.1, 60, 61.6, 64, 67.5, 133, 133, 123, 104, 102, 
##     96.2, 93.9, 74.7, 69.2, 58.8, 56.6, 56.3, 56, 55.4, 55.6, 
##     55.7, 56.7, 57, 58.3, 63.1, 69.4, 72.1, 76.2, 88.7, 107, 
##     136, 130, 124, 120, 115, 73.7, 79.5, 98.3, 104, 115, 131, 
##     134, 114, 80.3, 69.3, 67.4, 63.9, 60.3, 56.1, 54.1, 54, 53.2, 
##     53.1, 52.9, 52.8, 53, 53.4, 53.9, 55.2, 55.9, 59.7, 62.1, 
##     65.6, 69.7, 92.9, 136, 131, 127, 119, 109, 94.4, 85.1, 68.2, 
##     59.5, 57.5, 51.5, 50.5, 50.5, 50.3, 92, 91.7, 90.1, 89.3, 
##     87.9, 87.5, 85.9, 85.6, 85.1, 84.9, 84.5, 83.8, 84.1, 84.3, 
##     84.6, 86.8, 85.5, 82.3, 74.9, 73, 62.9, 60.5, 59.5, 55.8, 
##     55.6, 53.7, 53.8, 54.2, 54.9, 58.8, 61.9, 63.9, 64.3, 65.4, 
##     65.8, 65.6, 67.6, 69.1, 86.8, 83.1, 82.1, 80.9, 80.4, 80.7, 
##     80.9, 81.3, 81.3, 81.2, 81.5, 81.6, 81.9, 82.1, 85.1, 85.9, 
##     86.8, 87.6, 89.7, 91, 101, 108, 107, 106, 104, 103, 102, 
##     101, 101, 99.5, 97.9, 97.7, 97.4, 97, 91.4, 91.1, 90.7, 90.8, 
##     90.9, 92.8, 94.9, 95.3, 95.9, 96.5, 96.9, 97.6, 98.1, 104, 
##     96.6, 95.5, 94.4, 93.2, 90.5, 84.1, 79.2, 78.1, 78.2, 78.1, 
##     77.6, 76.9, 78.1, 80.8, 81.5, 83.4, 89.1, 91.9, 93.4, 98.8, 
##     105, 115, 116, 118, 118, 118, 111, 109, 88.7, 81.9, 78.6, 
##     55, 54.7, 54.3, 54.1, 53.8, 53.5, 53.2, 52.9, 52.8, 53.5, 
##     56.8, 59.6, 60.7, 37.6, 36.1, 34.4, 34.7, 34.6, 34.6, 34, 
##     33.8, 32.8, 32.6, 32.3, 32.1, 28.8, 28, 25.7, 23.7, 22.6, 
##     21.3, 12.4, 12, 11.5, 9.93, 7.66, 7.84, 8.02, 8.27, 8.55, 
##     8.84, 9.05, 9.83, 12.5, 13.4, 13.7, 14.3, 16, 16.9, 17.9, 
##     -3.74, -4.05, -4.64, -4.59, -4.27, -3.98, 3.99, 7.15, 7.74, 
##     9.39, 10.4, 12.6, 12.1, 11.7, 11.3, 11, 7.93, 6.33, 4.53, 
##     3.51, 2.47, -2.29, -2.99, -3.34, -5.17, -5.26, -5.24, -5.16, 
##     -4.78, -4.56, -4.15, -3.73, -2.07, -1.9, -1.82, -1.87, -2.07, 
##     2.35, 4.75, 6.89, 12.3, 12.4, 12.4, 11.7, 10.1, 6.38, 3.34, 
##     3.27, 3.35, 3.44, 3.88, 4.07, 3.99, 3.87, 1.25, 0.11, -9.29, 
##     -4.61, 0.73, 4.73, 18.7, 20.5, 26.3, 25.7, -42.1, -42.1, 
##     -42.1, -42.3, -38.2, -36.1, -36.2, -36.8, -36.9, -36.2, -34.7, 
##     -35.5, -35, -36.8, -37.3, -38.7, -39.4, -40.3, -40.6, -40.9, 
##     -43.4, -44.4, -45.3, -44.4, -43.7, -42.6, -41.2, -38.3, -36.7, 
##     -32.7, -35.4, -40.7, -41, -41.4, -41.5, -41.6, -41.7, -41.7, 
##     -42, -42.3, -38.6, -37.8, -39.9, -42.2, -43.3, -44.4, -45.2, 
##     -46.6, -48.3, -49.9, -50.8, -51.5, -56.4, -62.2, -62.9, -61.6, 
##     -61.1, -61.2, -61.1, -56.8, -54.7, -53.8, -53.2, -50.3, -40.6, 
##     -38.9, -38.5, -37.3, -37.4, -36.9, -36.6, -36.2, -35.3, -35.4, 
##     -35.6, -36.1, -36.3, -36.6, -37, -37.3, -37.5, -38.1, -38.9, 
##     -48.1, -49.7, -55.7, -57.4, -66.1, -67.6, -75, -75, -71.7, 
##     -71, -66, -64.4, -59.6, -43.3, -42.2, -39.3, -39.2, -39, 
##     -38.4, -38.7, -39.2, -39.5, -39.4, -39.2, -37.7, -38.4, -39.9, 
##     -42.2, -43.1, -47.8, -53.5, -64.4, -66.1, -67.2, -68.3, -69.5, 
##     -70.8, -75.4, -76.3, -77.3, -77.5, -72.6, -65.2, -63.7, -60.1, 
##     -42.6, -41.8, -38.4, -36.8, -37.8, -37.6, -37.9, -38.4, -38.5, 
##     -38.6, -39, -40.3, -41.4, -42.9, -43.6, -45.5, -60, -54, 
##     -52.6, -46.4, -44.7, -42.3, -41.7, -41.2, -38.6, -38, -38.9, 
##     -38.8, -38.3, -39, -39.2, -39.5, -39.8, -46.9, -47.5, -58, 
##     -59.2, -60.5, -65.8, -70, -74.2, -76.8, -82, -82.6, -83, 
##     -82.8, -81.8, -80.5, -78.9, -72.6, -63.6, -61.5, -58.7, -57.5, 
##     -46.8, -43.5, -41.6, -39.2, 71, 72.6, 80.5, 84, 99.4, 106, 
##     105, 97.4, 94, 77.9, 72.3, 72.1, 71.1, 71, 71.1, 71.4, 72.6, 
##     74, 76.1, 75.6, 75.2, 74.4, 72.5, 71.9, 69.1, 67.7, 75.3, 
##     76, 78.4, 91.4, 94.5, 95.5, 96.6, 96.4, 92.5, 81.9, 75.1, 
##     72.6, 71, 67.5, 67.8, 68.5, 69.7, 73.1, 75.1, 75.6, 75.5, 
##     75.3, 74.9, 74.3, 73.8, 73.5, 73.1, 72.5, 71.2, 67.6, 71, 
##     72.9, 72.2, 71.4, 71.4, 74.7, 75.1, 75.1, 73.7, 73.5, 73.8, 
##     75, 75.3, 74.9, 73.6, 73, 73.3, 74.3, 76.4, 77.2, 78.1, 79.8, 
##     80.8, 82.8, 92.4, 111, 114, 121, 128, 112, 109, 90.7, 81.9, 
##     80.8, 80, 79.6, 79.9, 82.1, 84.8, 89.2, 89.5, 89.1, 88.3, 
##     87.6, 87.1, 86.6, 85.9, 83.2, 82.4, 80.4, 82.2, 85.2, 89, 
##     91, 93.2, 94.7, 112, 117, 119, 120, 120, 107, 103, 85.7, 
##     84.6, 81.3, 84.7, 85.8, 92.7, 92.9, 92, 89.7, 89.4, 88.8, 
##     88.3, 82.5, 82, 81.7, 84.2, 85.5, 91, 92.9, 102, 107, 122, 
##     117, 115, 104, 90, 88.3, 82.3, 82.3, 82.9, 84.6, 87.3, 92.4, 
##     92, 92.9, 93, 89.6, 89, 86.9, 90.6, 93.8, 97.2, 100, 117, 
##     119, 121, 121, 119, 114, 101, 98.5, 93.8, 87.2, 89.3, 92.6, 
##     93.7, 95.8, 96.2, 95.4, 94.2, 92.6, 92.2, 90.3, 85.5, 84.1, 
##     83.7, 83.9, 88.4, 90.1, 94.2, 99.6, 102, 111, 115, 116, 117, 
##     118, 119, 121, 121, 120, 112, 110, 107, 106, 101, 98.3, 97.1, 
##     92, 92.2, 92.8, 93.8, 94.7, 94.5, 94.3, 94.1, 93.3, 93.3, 
##     94.1, 94.4, 94.7, 94.8, 94.7, 93.8, 93.1, 92.8, 93.2, 93.7, 
##     94.7, 98.3, 99.5, 102, 104, 109, 120, 120, 120, 120, 120, 
##     119, 116, 113, 108, 102, 96, 94.5, 91, 90, 88, 89.5, 93.4, 
##     93.9, 92.9, 92.8, 93.2, 118, 112, 111, 99.6, 93.6, 92.4, 
##     91.7, 90.5, 91, 92.9, 94.9, 61.5, 59.5, 58.4, 72.8, 76.2, 
##     72.1, 70.9, 69.9, 71, 73.2, 75.4, 77, 80.4, 77.3, 75.3, 74.8, 
##     73.5, 72.9, 70, 68.4, 67.4, 65.1, 64.8, 64.2, 62.6, 62.5, 
##     62.6, 63.1, 63.9, 71, 73.3, 75.9, 78.9, 87.6, 88.9, 83.5, 
##     69.6, 67.5, 66.7, 67.2, 67.3, 67.4, 67.6, 68.9, 69.5, 72.7, 
##     73.6, 72.1, 70.3, 69.8, 68.5, 65, 63.9, 62.8, 61.7, 59, 59.9, 
##     69.3, 75.7, 87.4, 89.8, 90.7, 90.2, 84.5, 75.1, 67.7, 67.6, 
##     67.4, 66.9, 67, 67.7, 68.1, 68.5, 72.4, 72.4, 70.9, 69, 66.9, 
##     63.5, 61.6, 61.6, 62, 65.2, 68.8, 71.2, 76.4, 83.1, 96.2, 
##     99.1, 94, 88.7, 86.2, 83.6, 79.1, 71.6, 71, 70.9, 71.8, 73.8, 
##     75.1, 75.1, 76.2, 74.4, 73, 72.2, 71.5, 65.7, 65.9, 66.9, 
##     68.1, 71.1, 72.7, 73.6, 74.4, 78.1, 80.2, 85.1, 88.2, 105, 
##     76.4, 74.4, 68.5, 65.7, 68.9, 69, 69, 69.2, 69.8, 69.9, 70, 
##     70.2, 70.2, 70.2, 70.2, 70.2, 70, 69.9, 69.7, 69.2, 69.4, 
##     69.4, 69.2, 68.7, 68.3, 68.2, 68, 67.6, 69.1, 69.9, 70.8, 
##     74.4, 74.5, 87.2, 81.2, 78.5, 68.1, 66.8, 65.6, 64.5, 63, 
##     60.6, 58.3, 58, 58.1, 58.6, 59.2, 68, 78.1, 92.7, 129, 132, 
##     127, 119, 109, 98.2, 94.2, 91, 70.7, 68.5, 59.3, 54.3, 54, 
##     54.3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 
##     -19, -18.5, -16.9, -16.9, -16.9, -16.7, -16.4, -15.6, -13.4, 
##     -13.3, -12.4, -12.4, -12.9, -13.3, -13.1, -13.1, -13.3, -13.5, 
##     -12.8, -12.6, -12.6, -12.5, -12.4, -30.4, -30.9, -30.9, -30.9, 
##     -30.7, -31.1, -31.5, -31.5, -31.6, -30.7, -29.8, -25.6, -24.2, 
##     -22.9, -14.4, -13.5, -9.73, -9.75, -10.6, -12, -12.9, -13.8, 
##     -15.4, -15.1, -16.5, -17.4, -17.5, -17.4, -16.9, -16.7, -16.7, 
##     -17.6, -18.9, -19.5, -19.4, -18.7, -18.1, -17.9, -6.38, -5.01, 
##     -4.98, -5.09, -5.39, -7.01, -8.39, -10.3, -20.1, -33.8, -38.2, 
##     -55.7, -58.8, -48.9, -6.63, -5.79, -5.66, -5.35, -5.06, -4.96, 
##     -3.89, -3.33, -8.02, -15.3, -38.5, -43.7, -48.4, -61.8, -63.6, 
##     -65.4, -65.2, -55.4, -44.3, -37.3, -34, -22.7, -21.8, -20.3, 
##     -16.8, -16.9, -14.7, -14.1, -13.6, -34.9, -38.2, -51.9, -54.5, 
##     -59.1, -58.9, -57.2, -54.7, -50.2, -44.3, -33.7, -28, -23.1, 
##     -20.6, -20, -19.5, -17.4, -10.8, -11.7, -9.21, -8.27, -9.23, 
##     -8.19, -7.54, -6.98, -5.15, -5.66, -5.67, -5.6, -5.58, -5.84, 
##     -8.22, -36.5, -42.5, -51.6, -54.8, -52.9, -49.2, -47.6, -34.1, 
##     -30.3, -17.1, -13.2, -13, -12, -13.7, -11.2, -11.2, -10.9, 
##     -8.34, -8, -8.01, -9.45, -10.2, -11.1, -12.3, -27, -33.8, 
##     -36.8, -47.5, -50.2, -57.7, -56, -53.8, -50.1, -43.4, -38.7, 
##     -36.9, -36.4, -18.6, -15.3, -15.2, -15.2, -15.2, -14.9, -14.5, 
##     -14.5, -14.4, -14.3, -14.3, -14.6, -15.6, -16.5, -20.5, -12.8, 
##     -11.7, -22.3, -28.3, -46.4, -51.3, -65.8, -69.6, -72.2, -74.4, 
##     -76.4, -80.7, -80, -75, -69.3, -48.9, -46.3, -43.4, -39.1, 
##     -12.4, -10.8, -11.1, -11.2, -8.82, -8.02, -7.2, -6.65, -12.6, 
##     -17.5, -23.8, -34, -17.6, -14.6, -13, -12.1, -9.93, -9.36, 
##     -7.73, -7.64, -7.51, -7.25, -7.25, -7.24, -17.2, -16.7, -15.8, 
##     -15.3, -15.3, -15.3, -14, -13.8, -12.9, -12.5, -11.9, -11.4, 
##     -10.4, -9.18, -8.78, -8.48, -8.12, -8.29, -16.4, -16.4, -16.3, 
##     -16.2, -16.3, -16.4, -16.3, -15.9, -15.3, -15.2, -15.8, -16.9, 
##     -11.4, -11.6, -13.1, -18.6, -19.5, -20.6, -22, -28.1, -29.1, 
##     -26.5, -26.1, -25.9, -25.5, -25.3, -25, -24, -21.7, -21, 
##     -17.5, -15.8, -13.7, -13.4, -13.1, -12.7, -12.3, -14.2, -14.1, 
##     -14.8, -17, -17.6, -17.6, -17.8, -18.1, -24, -26.2, -26.5, 
##     -40.9, -45.2, -46, -46.9, -42.2, -39.6, -38.4, -32.6, -31.1, 
##     -34.9, -38.3, -39.4, -39.4, -40.2, -41.5, -47, -47.7, -48.3, 
##     -49.6, -50, -49.7, -49.3, -48.7, -48.4, -45, -44.2, -42.9, 
##     -42.1, -40.2, -39.5, -37.1, -33.5, -33.7, -35.2, -35.5, -39.1, 
##     -41.5, -43.6, -44, -44.2, -45.3, -45.2, -44.1, -43.2, -41.9, 
##     -38, -36.3, -36, -38.4, -37.4, -34.9, -34.8, -35.6, -36.3, 
##     -36.8, -37.4, -38.3, -40.1, -40.4, -41.7, -44.8, -48.6, -49, 
##     -49.3, -49.6, -51.1, -51.9, -51.7, -49.9, -48.1, -43.8, -37.3, 
##     -35.9, -33.8, -32.8, -32.4, -32.3, -32.2, -32.1, -31.6, -31.8, 
##     -32, -34.3, -34.6, -30.3, -30.4, -30.4, -30.4, -30.6, -30.8, 
##     -31.9, -31.2, -31.6, -32.3, -33.7, -37, -41, -42.4, -44.1, 
##     -44.2, -41.9, -40.5, -39.2, -39.1, -34.5, -33.8, -41.7, -36.9, 
##     -35, -35.8, -36.4, -36.3, -35.1, -33.4, -33.5, -33.6, -33.7, 
##     -34.5, -36.1, -36.6, -40.1, -40.7, -41.8, -42.6, -42.7, -42.7, 
##     -47.7, -60.5, -65.4, -68, -73.4, -74.7, -76.9, -77.5, -74.2, 
##     -68, -66.3, -64.8, -61.9, -48.8, -50.2, -55, -59.4, -60.9, 
##     -62, -62.9, -63.8, -67.2, -68.2, -69, -70.4, -69.1, -68.3, 
##     -67.5, -66.8, -64.7, -64, -61.3, -55.6, -53.7, -47, -46, 
##     -38, -37.9, -38.9, -38.9, -38.8, -42.3, -37.2, -40.5, -41.7, 
##     -43.1, -44, -47.8, -50.8, -51.1, -50.8, -49.6, -49, -46.8, 
##     -44, -43.6, -43.6, -42.6, -41.7, -39.2, -35.6, -34.5, -32.1, 
##     -32.7, -33, -35.3, -36, -36.9, -38.1, -38.3, -42.8, -35.6, 
##     -38.8, -39, -39.3, -39.5, -40.2, -40.2, -38.5, -37, -34.8, 
##     -32.5, -32.2, -31.8, -30.6, -30.3, -30.3, -41.6, -41.5, -41.3, 
##     -41.2, -40.9, -39.4, -38.8, -37.3, -36.8, -36.4, -35.6, -35.4, 
##     -36.3, -37.6, -38.8, -39.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 71.3, 69.6, 69.6, 70.1, 93.5, 97.1, 122, 124, 
##     124, 104, 97, 96.2, 74, 74, 74.1, 74.4, 76.9, 77.8, 78.8, 
##     80.3, 80.1, 80.1, 80.8, 81.2, 81.2, 81, 77.6, 73.4, 68.3, 
##     72.3, 74.2, 76.4, 89.4, 92.7, 95.6, 100, 99.1, 98, 96.6, 
##     93.6, 85.6, 74.2, 71.1, 69.7, 69, 68.7, 72.2, 73, 75.4, 76.8, 
##     77.4, 76.7, 74.4, 73.6, 73.5, 73.3, 72, 68.2, 67.2, 66.4, 
##     64.8, 65.9, 74.7, 77.3, 79.6, 82.8, 89.9, 88.4, 82.2, 69.4, 
##     64.9, 64.5, 65, 65.1, 65.3, 65.6, 20.7, 20.5, 19, 18.8, 19.7, 
##     19.2, 18.1, 12.3, 8.51, 2.2, 0.4, -0.77, -2.22, -2.85, 64.2, 
##     84.4, 91.9, 101, 90.9, 79.1, 72.7, 58.7, 49.6, 42, 40.1, 
##     36.8, 35.6, 32.2, 104, 105, 105, 105, 105, 106, 105, 79.3, 
##     105, 109, 113, 117, 127, 126, 121, 116, 109, 105, 104, 102, 
##     100, 88.1, 100, 97.8, 87, 83, 79.2, 72.5, 69.8, 67.4, 61.5, 
##     59.8, 58.3, 56.9, 54.6, 52.1, 52.1, 59.2, 62.2, 74.8, 76.3, 
##     78.7, 81.5, 83.2, 86.1, 99.3, 112, 125, 139, 132, 120, 112, 
##     95.7, 91.4, 120, 115, 104, 83.7, 61.3, 59.5, 59.1, 58.9, 
##     62.8, 64.1, 75.7, 79.7, 81.6, 83.4, 95.9, 106, 115, 124, 
##     129, 132, 145, 142, 139, 139, 139, 0, -95, -90.9, -88.4, 
##     -85.8, -79.6, -65.2, -46.7, -30.5, -26.4, -27.2, -27.4, -27.7, 
##     -27.9, -28.3, -28.6, -30.8, -31.5, -33.1, -34.1, -42.7, -44.3, 
##     -48.1, -42.8, -36.8, -38.7, -42.3, -50.9, -56.1, -61.1, -77.5, 
##     -80.8, -88.1, -89.8, -93, -95.6, -96.4, -92.9, -89.9, -86.3, 
##     -73.9, -68.7, -50.9, -47.2, -36.8, -32.3, -31.5, -31.2, -31.8, 
##     -32.2, -33.2, -34.6, -37.6, -39.8, -41.5, -42.1, -42.8, -41.4, 
##     -39.7, -37.4, -34.8, -34.2, -34.6, -42.8, -62.3, -70.4, -75.6, 
##     -77.6, -86.2, -88.1, -88.5, -88, -87.4, -86.6, -82.9, -79.3, 
##     -77.3, -75.1, -70.2, -65.2, -61.2, -57, -45.6, -38.9, -34.4, 
##     -32.4, -33.2, -36.3, -37.4, -38.4, -39.6, -40, -40.3, -41.9, 
##     -42.2, -42.5, -68.6, -80.2, -84, -85.1, -86, -87, 48.1, 47.8, 
##     47.4, 45.7, 43.2, 40.1, 57.8, 80, 100, 110, 126, 144, 145, 
##     139, 130, 109, 74.6, 65.4, 61.4, 59.5, 58.4, 56.6, 55, 54.5, 
##     53.4, 53.8, 54.6, 55.4, 56.1, 58, 60, 68.7, 76, 79.6, 99.2, 
##     106, 135, 136, 137, 121, 112, 107, 103, 96.4, 82.9, 79.4, 
##     69.9, 59.6, 59.3, 59, 56.2, 55.9, 55.7, 55.2, 55, 55.3, 59, 
##     62.5, 67.2, 79.4, 87.8, 123, 128, 131, 135, 125, 121, 97.2, 
##     91.6, 75.6, 73.2, 63.3, 62.8, 62.2, 61.2, 59, 59.5, 58.3, 
##     57.7, 57.6, 57.4, 56.8, 56.7, 57.3, 63.9, 67, 77.7, 87.8, 
##     95, 125, 129, 137, 136, 130, 124, 117, 106, 67.7, 67.9, 68.6, 
##     67.8, 67.5, 66.1, 65.9, 64.1, 60.8, 62.6, 80.3, 120, 145, 
##     155, 160, 162, 164, 167, 167, 167, 167, 166, 166, 167, 168, 
##     168, 166, 154, 139, 135, 79.5, 77.1, 77.4, 73.3, 73.7, 74.5, 
##     72.2, 70, 68.2, 66.8, 66.1, 65.7, 66.2, 72.9, 77.4, 81.2, 
##     86.2, 91.5, 76.7, 74.2, 74.6, 74.2, 72, 71.7, 71.8, 72, 72, 
##     72, 71.7, 76.4, 78.2, 82.6, 92.4, 121, 142, 153, 159, 158, 
##     157, 156, 154, 146, 93.8, 87, 80.4, 78.3, 77.8, 76.6, 76.1, 
##     74.7, 74.6, 144, 144, 152, 149, 148, 147, 146, 142, 129, 
##     127, 108, 92.4, 90.6, 78.6, 78.2, 77.4, 76.2, 76, 75.5, 76.4, 
##     77.5, 78.4, 79.5, 81.3, 85.9, 87.7, 117, 125, 133, 136, 138, 
##     139, 147, 148, 135, 130, 129, 124, 121, 104, 90.7, 87.3, 
##     85.3, 81.8, 82.1, 82.2, 82.2, 81.1, 80.9, 81, 81.8, 82.8, 
##     84.1, 85, 86.2, 89, 93.1, 95.6, 122, 137, 140, 143, 145, 
##     149, 149, 148, 145, 138, 135, 128, 127, 123, 117, 114, 109, 
##     104, 102, 90.2, 88.8, 85.5, 84.4, 85.2, 82.4, 81.7, 80.4, 
##     88, 96, 114, 122, 136, 140, 142, 143, 145, 146, 145, 144, 
##     135, 123, 121, 119, 102, 92.3, 24.1, 23.9, 21.2, 22.2, 22.6, 
##     22.3, 22.6, 22.9, 23.2, 23.5, 23.8, 22.3, 15.8, 11, 11.9, 
##     12.2, 11.3, 4.37, 1.87, -107, -120, -126, -129, -130, -130, 
##     -127, -60.8, 12.2, 18.1, 18, 17.9, 17.6, 16.9, 17.2, 16.9, 
##     10.3, 10.2, 10.3, 10.5, 11.1, 11.2, 11.3, 10.9, 8.93, 8.11, 
##     2.66, -0.04, -137, -137, -137, -138, -136, -132, -127, 31.8, 
##     33.1, 34.2, 33.2, 29.4, 28.9, 28.2, 27.7, 28, 21.2, 21, 21, 
##     21.8, 18.4, 16.8, 16.4, 16.5, 16.5, -11.1, -155, -155, -149, 
##     -150, -156, -159, -163, -40.2, -40.4, -39.6, -39.7, -39.5, 
##     -39.2, -38.7, -39.1, -39.3, -40.7, -41.7, -45.7, -46.8, -48.1, 
##     -49.3, -50.7, -52.9, -58.6, -59.5, -66, -67.4, -69.3, -70.9, 
##     -78.5, -74.8, -67.4, -63.3, -60.7, -56.9, -55.2, -48.2, -44.8, 
##     -43.6, -42.3, -37.2, -37.5, -38.7, -40, -41.2, -40.6, -40.5, 
##     -40.3, -41, -40.9, -41.3, -68.6, -69.7, -70.6, -72.8, -75, 
##     -82.3, -83.4, -86.6, -83.5, -81.9, -57.3, -56.2, -55.5, -54.3, 
##     -51.7, -44.3, -42.9, -42, -40.9, -40.8, -34.5, -35.4, -34.9, 
##     -38, -39.2, -42.6, -45.5, -47.2, -50.4, -53, -54.4, -57.5, 
##     -61.6, -64.9, -67.4, -68.4, -71.1, -73.3, -75.8, -78.7, -80.2, 
##     -84.2, -81.9, -81.5, -74.4, -72.7, -59.7, -51.4, -51.4, -50.6, 
##     -49.8, -47.8, -46.7, -45.8, -44.8, -43.1, -42.2, -40.4, -40.8, 
##     -41.6, -41.1, -40.2, -40.2, -41.9, -42.1, -42.6, -44.5, -45.4, 
##     -47.9, -51.2, -58, -64.8, -65.8, -67.7, -69.2, -77.7, -86.8, 
##     -90.7, -90.4, -89.4, -83.3, -79.6, -70.8, -69.7, -64, -62.4, 
##     -59.3, -55.7, -53.6, -50.9, -49.6, -46.3, -43.1, -40.6, -39.9, 
##     -39.5, -38.6, -38.7, -42.2, -45.3, -46, -46.3, -47.9, -48, 
##     -47.8, -47.9, -48.5, -49.7, -48.2, -48.6, -49.2, -47.5, -39.4, 
##     -38.4, -36.9, -36.4, -35.9, -41.4, -43.2, -47.6, -52.9, -70.1, 
##     -71.2, -74, -75.6, -76.2, -76.1, -69.2, -49.7, -47.4, -46.6, 
##     -45.8, -45.8, -45.9, -46.1, -47.3, -49.4, -51.4, -52.3, -54.8, 
##     -55, -54.1, -53.5, -47, -46.4, -41.8, -41.3, -41.5, -45.8, 
##     -50.2, -52.8, -58.4, -59.7, -66.6, -69.2, -70.1, -71.5, -71.7, 
##     -72.1, -70.8, -67.5, -65.7, -52.1, -51, -49.4, -48.5, -42.5, 
##     -40.4, -40.6, -41.1, -42.2, -43.8, -44.3, -46.8, -47.7, -51.7, 
##     -51.6, -51.3, -46.8, -45.4, -44.8, -42.5, -42.1, -41.7, -44, 
##     -49.3, -53.8, -61.3, -62.9, -64.5, -66.1, -72.8, -75.7, -76.5, 
##     -77.2, -78.5, -76.6, -75.2, -73.7, -66.7, -63.1, -62, -60.9, 
##     -58.4, -55.9, -54.6, -50.3, -48.1, -46.4, -45.2, -44.6, -44.3, 
##     -44.2, -44.1, -44, -41.1, -37.4, -36.1, -34.9, -31.9, -31.9, 
##     -39.1, -56.8, -61, -66.3, -67.6, -71.8, -73.2, -72.4, -72.1, 
##     -72, -71.2, -68.9, -68.1, -67.3, -64.4, -57.6, -57, -53.2, 
##     -50.4, -49.5, -47.6, -47.3, -47.6, -49.2, -50, -51.6, -52.3, 
##     -52.9, -52.1, -51.7, -51.2, -50.8, -50.9, -50.7, -49, -49, 
##     -50.9, -51.9, -53.3, -53.5, -50.8, -49.5, -53.6, -56.4, -62, 
##     -69.7, -71.5, -73.2, -76.9, -82, -84, -85.5, -82.6, -79.5, 
##     -77.4, -74.5, -73, -67.7, -66.6, -61.3, -59.5, -51.2, -48.2, 
##     -48, -49, -49.8, -52.4, -47.5, -46.3, -46.2, -47.3, -47.6, 
##     -46.3, -44.4, -41.5, -41.2, -44.6, -45.7, -46.6, -50.3, -57.8, 
##     -68.5, -69.3, -70, -79, -80.8, -81.3, -80.6, -80.3, -80.1, 
##     -79.7, -79.2, -78.5, -77.6, -70.1, -67.9, -67.2, -66.7, -65.8, 
##     -63.8, -55.3, -54.2, -55.5, -56.4, -60.7, -60.6, -62, -64.7, 
##     -63.6, -62.7, -59.4, -57.3, -55.8, -54.1, -54, -53.9, -53.8, 
##     -61.5, -62.6, -67.9, -72.3, -75.5, -77.1, -82.3, -80.2, -75.3, 
##     -71.1, -69, -68.1, -67.3, -65.7, -57.1, -55.8, -53, -53.7, 
##     -55.8, -56.8, -59.7, -59.8, -60.1, -60.1, 97.8, 98.4, 97.3, 
##     96.7, 96, 94.4, 89.1, 85.2, 86.6, 87.9, 89.3, 92.8, 95.1, 
##     99.8, 102, 107, 113, 126, 125, 117, 106, 102, 101, 95.1, 
##     93.5, 90.9, 89, 88.2, 87.5, 91.6, 92.2, 96, 95.7, 95.4, 93.8, 
##     88.7, 86.9, 86.9, 87.2, 103, 104, 123, 124, 125, 124, 108, 
##     105, 96.9, 95.1, 82, 84.9, 85.3, 85.5, 85.9, 87, 88.1, 87.9, 
##     87.8, 87.4, 83.6, 82.9, 84.5, 85.6, 90.9, 93.5, 113, 116, 
##     119, 127, 128, 129, 130, 131, 131, 131, 129, 126, 121, 93.8, 
##     92.7, 90.6, 82.6, 84, 87.4, 88.4, 89.3, 99.4, 102, 122, 128, 
##     127, 119, 115, 110, 96.6, 95.1, 93.4, 90.6, 85.7, 83.9, 83.3, 
##     82, 82.4, 86.3, 90.8, 92.9, 100, 104, 111, 120, 123, 133, 
##     134, 129, 126, 125, 106, 91, 77.8, 75.9, 75, 74.6, 74.8, 
##     76.2, 77.1, 78.3, 81.1, 93.1, 95.5, 101, 132, 138, 138, 138, 
##     133, 122, 116, 113, 106, 103, 97.5, 92.4, 90.1, 83.4, 78.6, 
##     74.6, 73.6, 70.7, 69.4, 68.6, 68.6, 68.9, 69.9, 73.6, 74.8, 
##     82.7, 87.3, 92.8, 111, 141, 140, 75.7, 81.9, 85.6, 92.6, 
##     96.4, 100, 127, 136, 140, 142, 142, 139, 137, 135, 105, 101, 
##     77.9, 75.4, 73.3, 69.8, 68.3, 65.7, 62.3, 62, 61.8, 60.7, 
##     60.6, 60.9, 64.4, 66.1, 71.4, 74.2, 89.2, 94.8, 118, 122, 
##     125, 133, 134, 124, 120, 90.7, 84.4, 76.5, 69.2, 65.1, 61.1, 
##     59.5, 60, 63.8, 65.4, 67.8, 71.6, 85.8, 91, 103, 120, 133, 
##     138, 136, 133, 128, 122, 118, 92.8, 81.6, 70.1, 66.5, 63.4, 
##     62.2, 61.1, 58, 57.6, 56.8, 57.7, 58.2, 89.3, 95.2, 122, 
##     133, 135, 142, 51.2, 51.5, 56.4, 68.2, 85.3, 101, 138, 141, 
##     144, 145, 144, 143, 141, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, -12.3, -12.8, -13.4, -13.9, -14.3, 
##     -13.8, -13, -15, -23.1, -39.9, -59.4, -67.4, -67.5, -67.6, 
##     -66.6, -65.6, -58.3, -56.4, -54.5, -47.9, -40.4, -39.2, -36.7, 
##     -35.1, -30.9, -21.8, -21, -20.2, -17.9, -17.6, -16.7, -16, 
##     -16.1, -16.5, -17.2, -17, -16.7, -16.4, -16.1, -15.6, -15.6, 
##     -15.4, -15.4, -15.4, -15.5, -16.7, -19.8, -25.1, -39.3, -43, 
##     -51.6, -73.7, -74.2, -70.6, -66.4, -59.8, -51.3, -48.7, -42.5, 
##     -35.2, -29.7, -27.9, -26.4, -23.5, -21.1, -20, -20.2, -22, 
##     -22.3, -22.6, -22.6, -20.9, -21, -20.8, -20.3, -19.6, -19.2, 
##     -19.4, -19.6, -20.5, -23.8, -85.6, -86.7, -84.3, -81.8, -78, 
##     -72.3, -65, -31.1, -27.5, -19.4, -19.5, -19.5, -17.3, -18.5, 
##     -18.5, -18.4, -18.1, -17.8, -17.4, -16.7, -16.8, -17.9, -18.4, 
##     -19, -19.6, -22.3, -26, -30.8, -41.2, -45.2, -48.8, -56.9, 
##     -60.8, -71.7, -89.1, -92.3, -99.6, -99.9, -96.7, -94.1, -90.8, 
##     -87.1, -86.4, -85.7, -84.9, -83.9, -82.7, -66.7, -62.2, -53.5, 
##     -45.1, -36.7, -9.1, -1.16, -1.75, -9.69, -10.8, -11.5, -11.6, 
##     -10.7, -10.2, -11.2, -11.3, -11.3, -11.7, -12.4, -12.5, -5.35, 
##     -5.14, -4.33, -3.75, -3.66, -3.58, -3.12, -3.16, -3.59, -4.69, 
##     -5.33, -6.03, -7.59, -8.37, -8.64, -9.17, -10.6, -10.7, -11.4, 
##     -12.1, -12.4, -12.4, -10.2, -3.41, -3.53, -7.16, -8.58, -10.1, 
##     -13.8, -18.6, -21.8, -26.6, -37.5, -91.2, -119, -124, -127, 
##     -127, -129, -128, -127, -126, -125, -124, -122, -121, -98, 
##     -78.1, -71.5, -54.6, -21.1, -19.7, -19, -18.3, -17.6, -20.9, 
##     -21.8, -25.8, -30.3, -49.1, -54, -66.3, -74.4, -81.3, -93.7, 
##     -96.4, -105, -110, -110, -109, -107, -104, -86, -77.4, -73, 
##     -63, -58.5, -26.2, -19.1, -18.1, -16.8, -16.8, -17, -17.2, 
##     -17.7, -18.2, -20.3, -21, -22, -26.1, -27.6, -37.8, -34.7, 
##     -33.7, -24.2, -24.2, -26.4, -30.3, -39.5, -42.5, -54.1, -58.9, 
##     -78.9, -87.3, -91.7, -102, -103, -102, -101, -99.1, -98.1, 
##     -92.5, -88.6, -20.2, -38.1, -38.6, -39, -36.1, -46.4, -55, 
##     -64.4, -83.8, -63.1, -59.7, -53.8, -49.9, -45.5, -37.2, -27.7, 
##     -20.1, -15.5, -15.7, -16.9, -14.2, -13.6, -12.9, -12.5, -12.2, 
##     -12.3, -12.4, -10.6, -14.8, -23.7, -27.4, -28.2, -24.8, -23.5, 
##     -21.7, -12.4, -12.3, -12.2, -12.2, -12.1, -11.7, -11.6, -10.5, 
##     -9.52, -8.34, -8.02, -6.33, -5.64, 34.5, 38.8, 50.3, 159, 
##     -177, -174, -171, -171, -171, -171, 174, 143, 68.2, 63, 62.5, 
##     62.1, 59.1, 149, 126, 121, 99.4, 96.6, 94.9, 90.7, 88.6, 
##     87.8, 83.8, 81.9, 81.6, 82.2, 83.7, 89.3, 90.9, 92.9, 94.9, 
##     103, 106, 109, 124, 127, 130, 135, 136, 133, 125, 110, 109, 
##     111, 111, 113, 113, 108, 103, 103, 102, 102, 103, 103, 104, 
##     104, 104, 108, 109, 111, 113, 118, 120, 121, 122, 124, 124, 
##     124, 123, 122, 122, 124, 113, 115, 116, 120, 122, 123, 123, 
##     131, 133, 139, 138, 135, 134, 133, 98.8, 98.8, 98.6, 99.4, 
##     101, 106, 108, 112, 116, 119, 120, 121, 130, 133, 137, 139, 
##     142, 143, 139, 138, 137, 120, 115, 106, 95.6, 92.7, 84.7, 
##     78.2, 77.8, 85.2, 92.2, 95.6, 121, 111, 95.8, 48.3, 40.3, 
##     33.7, 27.2, 26.4, 19.5, 18.9, 18.1, 16.7, 15.1, 11.7, 10.3, 
##     9.07, 8.92, 8.87, 8.87, 8.72, 7.7, 7.6, 7.63, 7.75, 7.38, 
##     6.33, 5.47, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43.9, -43.8, -43.7, 
##     -43.5, -50.2, -51.5, -52.1, -52.2, -50.9, -50.1, -48.9, -47.7, 
##     -46.3, -44, -43.8, -43.4, -42.7, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 
##     120, 71.8, 68.3, 61.2, 56.5, 55.5, 52.5, 52.4, 52.5, 52.6, 
##     52.6, 51.5, 51.3, 137, 133, 113, 86.8, 69.3, 69.2, 69.3, 
##     69.5, 69.8, 67.3, 67, 66.9, 66.9, 67, 67.3, 67.7, 68.4, 83.3, 
##     83.2, 85.6, 86.3, 88.1, 88.6, 89.8, 91, 91.3, 91.4, 88.7, 
##     81.7, 95.9, 95.3, 93.5, 94.2, 112, 123, 147, 153, 153, 153, 
##     151, 150, 149, 148, 147, 143, 138, 129, 126, 132, 131, 129, 
##     128, 122, 120, 114, 108, 98.5, 90.7, 91.7, 93.2, 98.6, 99, 
##     127, 127, 126, 125, 120, 117, 115, 114, 111, 100, 99.7, 104, 
##     106, 107, 107, 111, 59.7, 60.3, 60.7, 71.1, 83, 117, 150, 
##     156, 162, 163, 164, 164, 170, 76.5, 50.8, 45.1, 43.5, 41.3, 
##     35.8, 35.5, 35.9, 36.8, 36.3, 33.7, 33.4, 133, 142, 152, 
##     158, 159, 158, 156, 137, 119, 106, 102, 86.8, 82.4, 87, 82.8, 
##     82.6, 81.2, 79.4, 79.2, 79.6, 79.9, 80.9, 84.7, 88.9, 94.1, 
##     97, 100, 109, 148, 151, 159, 160, 159, 159, 159, 158, 155, 
##     153, 146, 138, 129, 109, 102, 93.1, 78.9, 75.9, 73.3, 70.4, 
##     66.2, 64.1, 59.3, 58.6, 61.7, 62.4, 63.1, 63.7, 65.2, 66.1, 
##     66.8, 66.9, 66.9, 67.1, 67.2, 67.4, -44.9, -41.5, -41, -41, 
##     -41.1, -43.1, -55.9, -79, -81.2, -83.2, -85.2, -91.1, -97.4, 
##     -99.1, -99.4, -99.6, -98.6, -97.6), pitch_arm = c(22.5, 22.1, 
##     22, 21.6, 21.5, 21.5, 21.4, 21.3, 21.2, 21.2, 21.1, 20.9, 
##     20.7, 20.7, 20.7, 20.7, 20.7, 20.6, 20.5, 20.5, 20.5, 20.3, 
##     20.2, 20.1, 20, 19.9, 19.7, 19.7, 19.6, 19.5, 19.4, 19.2, 
##     19.2, 19.1, 19, 19, 18.9, 18.8, 18.8, 18.6, 18.6, 18.5, 18.5, 
##     18.4, 18.1, 18.1, 18.1, 17.9, 17.9, 17.8, 17.8, 17.8, 17.7, 
##     17.7, 17.6, 17.6, 17.5, 17.5, 17.4, 17.4, 17.3, 17.1, 17.1, 
##     17.1, 17, 17, 17, 17, 16.9, 16.9, 16.7, 16.6, 16.5, 16.4, 
##     16.4, 16.3, 16.2, 16.2, 15.9, 15.9, 15.8, 15.5, 15.5, 15.4, 
##     15.3, 15.3, 15.3, 15.3, 15.2, 15.1, 15, 14.5, 14.5, 14.3, 
##     14.1, 14.1, 14, 13.9, 13.9, 13.8, 13.8, -9.76, -9.79, -9.74, 
##     -9.44, -9.4, -9.37, -9.28, -9.28, -9.25, -9.24, -9.22, -9.22, 
##     -9.19, -9.13, -8.79, -8.75, -8.55, -8.48, -8.42, -8.26, -7.93, 
##     -7.68, -7.59, -7.15, -7.08, -7.03, -7.01, 15.9, 15.4, 14.6, 
##     13.9, 13.2, 11.8, 10.6, 9.48, 7.5, 6.64, 6.23, 4.63, 2.88, 
##     1.22, 0.71, -2.35, -2.49, -2.78, -2.95, -3.13, -3.57, -3.77, 
##     -4.16, -4.25, -4.44, -4.58, -4.72, -4.83, -5.09, -5.2, -5.35, 
##     -5.77, -5.89, -6.19, -6.25, -7, -8.46, -10.3, -12.1, -12.8, 
##     -14.6, -20.4, -23.4, -31.7, -35.7, -39.7, -49.2, -54.4, -56.8, 
##     -62.2, -64.7, -67.4, -62.2, -58.1, -48.1, -38, -33.3, -35.4, 
##     -40.5, -46.7, -49.1, -64, -69, -71.5, -79, -81.5, -84.2, 
##     -80, -77.4, -54.4, -47.5, -26, -24.4, -24.2, -25.4, -26.1, 
##     -26.9, -31.3, -48.2, -66.8, -68.3, -69.9, -69.9, -68.2, -59.8, 
##     -57.3, -32.6, -24.1, -21.6, -19.4, -17.6, -16.6, -16.7, -21.5, 
##     -25.8, -28.6, -29.9, -32.5, -35, -37.4, -41.1, -50.3, -38.5, 
##     -36.9, -29.1, -17.7, -13.9, -6.28, -4.39, 1.41, 1.75, 1.06, 
##     -1.5, -12.7, -14.9, -17, -19.1, -22, -27.4, -29.2, -29.3, 
##     -28.5, -28.2, -27.9, -27.1, -26.8, -26.4, -26.3, -26.3, -26.3, 
##     -26.3, -26.3, -25.9, -25.1, -24.1, -23.8, -19.3, -18.1, -15.4, 
##     -10.9, -9.49, -7.95, -3.56, 1.33, 14.8, 16.2, 18.6, 20.9, 
##     10.3, 7.18, 4.34, 2.67, 2, -2.52, -3.37, -6.86, -8.24, -11.2, 
##     -13.5, -13.5, -13.1, -13, -12.1, -11.7, -11.3, -10.8, -8.73, 
##     -5.53, -1.28, 5.67, 10.1, 11.6, 30, 28.8, 26.3, 22.1, 20.7, 
##     19.2, 15.3, 11.3, 7.78, 6.73, 2.94, 3.46, 4.02, 4.68, 7.4, 
##     9.95, 15.4, 19.6, 33.3, 35.7, 40.1, 42.4, 51.3, 53.5, 51.3, 
##     42.8, 38.6, 39.5, 42.6, 44.6, 46.5, 55.1, 61, 62.6, 64.3, 
##     65.4, 66.3, 60.9, 59, 46.7, 44.4, 40.2, 34, 26.2, 24.8, 23.3, 
##     22, 21.3, 20.4, 20.9, 22.5, 24.9, 28, 31.8, 33.9, 38.7, 44.4, 
##     76.1, 75.4, 49.4, 41.2, 35.3, 36.7, 38.5, 48.3, 54.3, 36.6, 
##     37.9, 40.9, 51.4, 54.1, 66.2, 66.9, 57.7, 47.4, 42, 39.3, 
##     33.2, 30.3, 27.6, 19.3, 17.4, 14.1, 16.6, 19.3, 36.1, 35.3, 
##     34.1, 33.9, 34.5, 34.8, 35.1, 5.73, -8.81, -7.83, -6.67, 
##     -3.22, -1.99, -2.05, -6.9, -8.46, -15.2, -21.3, -29.5, -30.2, 
##     -30.5, -30.7, -31.5, -32.3, -32.3, -28.5, -26.6, -19.4, -17.6, 
##     -15.5, -14.7, -5.84, 74.8, 76.4, 76.5, 76.8, 78.2, 80.5, 
##     83.8, 85.4, 87.1, 88.5, 88.2, 86.6, 83.5, 80.6, 75.9, 74.8, 
##     73.7, 67.9, 65, 64.2, 62.7, 62, 61, 60.5, 59.2, 58.5, 56.9, 
##     56.3, 55.9, 54.6, 50.3, 47.5, 46.1, 45.6, 40.9, 40.2, 37.5, 
##     35.7, 35.2, 34.7, 34.2, 30.7, 30.1, 27.7, 25.1, 23.7, 21.5, 
##     19.9, 18.8, 18.3, 15.9, 15.6, 15, 14.6, 13.7, 13.5, 11.8, 
##     10.7, 9.57, 9.25, 8.92, 7.52, 5.99, 5.79, 5.64, 5.48, 5.01, 
##     4.85, 4.76, 4.75, 4.8, 4.89, 4.93, 5.34, 6.82, 7.08, 7.63, 
##     8.23, 8.83, 10.1, 10.4, 11.1, 12.6, 13.3, 13.7, 19, 20.9, 
##     21.4, 21.9, 25.5, 26.5, 29.8, 31, 32.1, 34.3, 34.9, 36.1, 
##     41, 41.7, 42.9, 43.6, 49.3, 51.3, 51.8, 53.1, 59.7, 63.5, 
##     68.5, 69, 70.2, 71.4, 73, 73.1, 73.2, 73.1, 73.1, 73.1, 73, 
##     72.7, 72.1, 70.8, 69.9, 69.4, 67.8, 65.6, 63.4, 62.8, 58.8, 
##     55.6, 55.1, 52.2, 51.1, 50.1, 46.4, -23.6, -23.5, -23.4, 
##     -22.5, -21.9, -20.6, -19.5, -16.7, -15.2, -10.2, -6.86, -2.63, 
##     -5.39, 44, 42.5, 40, 37.3, 35.3, 32.8, 31.6, 31, 22.7, 21.1, 
##     20.6, 19.2, 18.2, 17.3, 16.5, 15.7, 15, 13.9, 13.6, 12.2, 
##     10.3, 9.48, 8.69, 5.66, 66.9, 66.9, 67, 67, 66.9, 67.2, 67.7, 
##     69.9, 70.8, 71.8, 5.4, 5.11, 4.58, 3.98, 3.52, 3.39, 3.03, 
##     2.92, 2.76, 2.59, 2.71, 2.83, 3.1, 3.21, 3.46, 3.82, 3.91, 
##     4.74, 5.62, 6.32, 7.09, 9.23, 9.54, 9.86, 10.2, 10.6, 12.3, 
##     13.1, 18.5, 20.4, 21.9, 22.4, 26.7, 27.3, 28.5, 30.7, 32.9, 
##     34, 35.1, 39.7, 42, 42.6, 43.7, 49.5, 50, 51.1, 54.4, 58.5, 
##     59.7, 65.6, 66.3, 67.9, 68.7, 70.2, 70.6, 72.9, 74.7, 74.9, 
##     75.1, 75.2, 75.3, 74.8, 74.6, 73, 71.2, 70.3, 69.8, 69.3, 
##     66.3, 64.9, 64.5, 63.4, 62.3, 61, 60.3, 57.8, 56.7, 54.3, 
##     53.8, 53.2, 48.7, 48.4, 43.3, 42, 40.4, 39.5, 27.9, 23.4, 
##     23.1, 35, 39.7, 43.1, 48.1, 49.4, 50.7, 54.7, 55.9, 57.8, 
##     61.1, 63.2, 64.6, 68.2, 69.7, 70.5, 74.6, 75.3, 79.7, 80.9, 
##     81.5, 83.2, 85.8, 86.2, 86.4, 86, 82.1, 81.1, 79.1, 78.1, 
##     76.2, 75.5, 71.9, 71.2, 70.4, 69.5, 19.7, 17, 8.55, 2.23, 
##     -0.85, -7.39, -10.2, -15.8, -19, -23.9, -29.8, -31, -32, 
##     -32.8, -33.6, -34.7, -35, -26.1, -22.5, -7.6, -5.72, -1.41, 
##     16.7, 27.2, 34.9, 37.7, 42.7, 49.6, 51.9, 53.9, 56, 66.3, 
##     68.1, 69.8, 76.5, 81.9, 82.6, 82.8, 80.7, 76.4, 75.2, 74, 
##     72.1, 69.3, 66.6, 66.4, -31.7, -30.1, -26.4, -18.5, -15.5, 
##     -14.2, -10.8, -6.8, -3.33, 0.13, 9.5, 22.2, 27.2, 32, 46, 
##     50.1, 62.4, 64.2, 69.7, 75.6, 85.4, 79, 78.4, 76.2, 72, 71.6, 
##     62, 59.9, 55, 49.6, 41.2, 23.5, 20.4, 14.1, -2.08, -8.13, 
##     -29.8, -30.1, -30.6, -30.7, -30.9, -31, -31.2, -31.1, -30.9, 
##     -30.7, -26, -17.6, -11.7, -10.3, -5.81, -2.41, 9.24, 15.2, 
##     33.2, 36.4, 42.1, 53.2, 62.2, 64.4, 66.3, 68.2, 70.2, 78, 
##     82.4, 83.2, 81.9, 80.8, 78.9, 77.3, 76.2, 75.6, 74.3, 73.6, 
##     72.3, 71.1, 69.7, 71.8, 72.3, 72.6, 72.6, 60.7, 4.84, 1.5, 
##     -7.13, -12.3, -16.3, -19.4, -23.6, -23.3, -15.2, -14.4, -12.8, 
##     -11.2, -3.19, -1.07, 0.87, 2.91, 10.1, 12.4, 47.5, 51.3, 
##     57.9, 70.6, 72.2, 73.2, 71.1, 70.5, 69.8, 69.3, 68.5, 68.2, 
##     64.6, 54, 47.5, 26.6, 1.32, -20.7, 7.55, 16.1, 21.3, 34.2, 
##     35.8, 48.3, 53.3, 62.8, 64.8, 65.7, 67.2, 68.3, 73.7, 73.9, 
##     74.7, 74.3, 65.9, 63.4, 60.8, 57.6, 51.5, 48.1, 44.7, 33.7, 
##     16.6, 8.45, -6.09, -13.8, -21.8, -27.1, -36.8, -49, -50, 
##     -50.3, -50.7, -50.8, -50.7, -50.2, -49.7, -48.9, -48.4, -47.1, 
##     -45.3, -29.5, -27.1, -22.1, -13.2, -9.79, -6.77, 5.57, 14.8, 
##     17.8, 20.6, 30.9, 33.2, 35.7, 37.8, 40, 41.9, -36.2, -43.3, 
##     -43.6, -43.6, -43.4, -43.2, -42.9, -42.4, -41.5, -41.1, -39.8, 
##     -39.2, -38.7, -38, -36.5, -35.4, -30.4, -28, -26.2, -24.6, 
##     -22.6, -21.5, -19.4, 40.5, 39.5, 39.7, 40.4, 40.6, 42.1, 
##     42.3, 42.4, 42.5, 42.6, 42.8, 42.8, 42.9, 43.2, 43.3, 43.4, 
##     43.4, 43.4, 43.4, 43.3, 43.2, 43.1, 43.1, 43, 43, 43, 43, 
##     43, 43, 43.2, 43.2, 43.2, 43.2, 43.3, 43.3, 43.7, 43.7, 43.6, 
##     43.6, 43.6, 43.5, 43.5, 43.5, 43.5, 43.6, 43.6, 43.6, 43.6, 
##     43.6, 43.5, 43.5, 43.5, 43.4, 43.4, 43.4, 43.3, 43.3, 43.3, 
##     43.3, 43.3, 43.3, 43.3, 43.3, 43.3, 43.3, 43.2, 43.2, 43.2, 
##     43.2, 43.2, 43.2, 43.2, 43.3, 43.3, 43.3, 43.3, 43.3, 43.2, 
##     43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.4, 43.4, 43.4, 
##     43.4, 43.3, 43.3, 43.3, 43.3, 43.3, 43.3, 43.6, 44.4, 44.6, 
##     44.7, 44.7, 44.6, 44.4, 44.3, 44.2, 44.2, 44.2, 44.2, 44.5, 
##     44.5, 44.6, 44.6, 44.6, 44.8, 45, 45, 45, 44.7, 43.9, 41.8, 
##     35.2, 30.9, 20, 9.9, 3.32, 0.12, -3.26, -9.93, -22.8, -29.5, 
##     -32.9, -39.4, -45.2, -49.5, -55.2, 26.8, 29.4, 29.7, 29.6, 
##     29.7, 30.3, 30.6, 30.7, 30.6, 30.5, 30.3, 29.1, 28.5, 21.7, 
##     19.9, 11.1, -15.7, -28.9, -34.1, -36.9, -50.1, -51.9, -54.1, 
##     -53.4, -50.9, -49.5, -45.2, -46.7, -48.3, -49.8, -51.6, -48.2, 
##     -46.8, -44, -42.7, 23.5, 23.6, 23.6, 23.6, 22.9, 22.4, 22, 
##     21.4, 16.8, 15.4, 10.6, -1.21, -6.37, -11.8, -14.5, -36.9, 
##     -42.6, -47, -45.9, -44.7, -43.9, -43.6, -43.9, -45.1, -43.9, 
##     -42.4, -36.9, -35.5, -33.3, -28.4, -19.8, -14.5, -37, -36.6, 
##     -38.7, -41.5, -41.9, -42.1, -40.6, -35, -33.2, -14.7, -9.83, 
##     4.09, 8.15, 11.5, 12.6, 15, 16.1, 16, 15.8, 15.2, 12.5, 10.3, 
##     2.91, -2.74, -23.5, -25.7, -29.7, -31.2, -34.1, -37.9, -39.1, 
##     -41.1, -38, -34.4, -35.1, -38.4, -39.7, -38.7, -37.4, -36.2, 
##     -31.1, -29.2, -27.2, -25.3, -21.5, -9.28, -6.22, -3.28, 2.08, 
##     7.09, 7.78, 9.3, 9.56, 9.73, 9.82, 9.9, 10.1, 10.5, 10.8, 
##     11.3, 11.5, 11.6, 11.1, 10.7, 10.2, 8.25, 0.76, -1.07, -23.9, 
##     -28.7, -37.2, -39, -41.7, -41.9, -39.4, -36.6, -35.1, -34.4, 
##     -33.6, -34, -34.6, -35.3, 8.14, 10.1, 10.5, 10.7, 11.9, 13, 
##     13.3, 13.4, 13.4, 13.5, 12, 10.4, 9.41, 8.35, 5.72, 1.06, 
##     -0.67, -8.9, -13.9, -31.6, -34.5, -41.1, -42.8, -33.6, -34.2, 
##     -40.4, -39.3, -28.4, -26.3, -19.6, -17.2, -8.01, -5.87, -1.92, 
##     -0.31, 1.25, 4.09, 7.84, 10.3, 13.5, 13.9, 13.5, 13.2, 13.3, 
##     13.2, 12.4, 12, 9.14, 4.47, 2.78, -3.17, -17.4, -22.4, -36.1, 
##     -41.8, -42.8, -42.7, -33.8, -37.6, -40.7, -40.3, -38.4, -37.4, 
##     -30, -25.5, -23.5, -17, -3.97, 11.6, 12.2, 14.4, 14.5, 14.5, 
##     1.79, -1.49, -7.91, -10.3, -15.4, -20.2, -24.9, -33.2, -38.1, 
##     -39.3, -41, -39.5, -38.2, -33.8, -30, -31.2, -32.2, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 13.8, 13.8, 13.7, 13.7, 13.7, 13.6, 13.5, 13.4, 13, 12.9, 
##     12.7, 12.7, 12.7, 12.7, 12.6, 12.5, 12.4, 12.3, 12.3, 12.1, 
##     12, 11.9, 11.8, 11.8, 11.7, 11.7, 11.4, 11.4, 11.3, 11.3, 
##     11.1, 11.1, 11.1, 11.1, 11.1, 11.1, 11, 10.3, 10.1, 9.92, 
##     9.88, 9.87, 9.78, 9.73, 9.66, 9.61, 9.51, 9.45, 9.35, 9.15, 
##     9.11, 9.05, 9.04, 9.02, 8.94, 8.84, 8.8, 8.77, 8.64, 8.58, 
##     8.55, 8.51, 8.4, 8.38, 8.35, 8.24, 8.21, 8.2, 8.14, 8.03, 
##     7.98, 7.96, 7.87, 7.73, 7.71, 7.68, 7.65, 7.58, 7.4, 7.36, 
##     7.34, 6.9, 6.68, 6.52, 6.24, 6.21, 6.1, 5.87, 5.8, 5.67, 
##     5.45, 5.42, 5.39, 5.35, 5.31, 5.03, 5.02, 5, 4.91, 4.87, 
##     4.72, 4.62, 4.57, 4.45, 4.3, 4.27, 4.27, 4.3, 4.28, 4.28, 
##     4.18, 4.12, 4.06, 3.97, 3.93, 3.82, 3.77, 3.71, 3.68, 3.68, 
##     3.63, 3.63, 3.5, 3.45, 3.36, 3.31, 3.25, 3.19, 3.03, 2.98, 
##     2.99, 3.02, 3.04, 2.97, 2.78, 2.33, 2.32, 2.1, 1.96, 1.76, 
##     1.86, 1.91, 2.02, 1.94, 1.84, 1.63, 1.64, 1.66, 1.66, 1.65, 
##     1.66, 1.65, 1.64, 1.62, 1.58, 1.47, 1.41, 1.39, 1.25, 1.18, 
##     0.92, 0.84, 0.8, 0.73, 0.75, 0.79, 0.79, 0.76, 0.7, 0.68, 
##     0.66, 0.62, 0.61, 0.6, 0.57, 0.54, 0.49, 0.12, 0.12, 0.13, 
##     0.14, 0.25, 0.85, 0.99, 1.05, 1.16, 9.11, 14.2, 15.6, 18.7, 
##     30.5, 32.5, 34.3, 38.6, 43.3, 50.4, 56.8, 64.4, 86.8, 77.4, 
##     68, 61.7, 30.9, 28.3, 18.9, 11.9, 3.04, 3.71, 4.38, 6.83, 
##     8.67, 16.8, 27.6, 31, 32.5, 34.6, 36.8, 46.9, 48.3, 49, 59.1, 
##     62.8, 69, 69.3, 68.8, 68.4, 64.9, 64.1, 60.9, 60.1, 55.2, 
##     53.7, 54.6, 63, 65.9, 66.7, 61.6, 57, 54.7, 42.1, 38.2, 23.7, 
##     17, 2.36, -14.3, -27.3, -31, -37.4, -43.2, -44.8, -48.4, 
##     -49.2, -48, -33.5, -30.6, -29.3, -19.8, -5.72, 7.49, 21.4, 
##     -48, -61.2, -60.2, -59.5, -58.4, -56.4, -52.1, -51.3, -47.7, 
##     -41.2, -35.5, -25.2, -18.2, -11.9, -6.39, 6.76, 11.2, 13.6, 
##     28.5, 32.4, 33.2, 33.7, 32.3, 30.7, 27.4, 24.5, 13.9, 6.29, 
##     3.11, -25.3, -28.3, -30, -34.3, -39.1, -41.3, -46.5, -57.5, 
##     -54.3, -53.6, -53.1, -53.1, -53.5, -54, -55, -55.7, -55.5, 
##     -54.7, -54.2, -53.1, -43.9, -28.3, -15.3, -4.87, 6.37, 11.4, 
##     12.9, 14.6, 17.9, 25.4, 26, 25.1, 17.3, 4.99, 1.83, -7.91, 
##     -20.7, -23.7, -26.2, -30, -32.6, -39.8, -41.6, -52.9, -52.1, 
##     -51.3, -50.5, -53.2, -54.7, -54.7, -54.3, -49.6, -42.3, -38.9, 
##     -23.9, -17.8, -12.5, -10.2, -7.8, -3.16, 1.2, 3.28, 7.39, 
##     13.5, 16.6, 19.3, 23.5, 25.1, 25.1, 25.1, 24.1, 23.3, 21.1, 
##     -10.1, -26.4, -27.7, -33.4, -40.7, -45.8, -51.5, -52.5, -53.5, 
##     -52.3, -51.4, -49.6, -51.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 4.3, 5.92, 45.1, 45, 45, 44.6, 44.5, 44.4, 44.4, 44.4, 
##     44.4, 44.1, 43.8, 43.8, 40.3, 45.8, 46, 45.9, 40.3, 38.9, 
##     38.5, 38.2, 37.9, 37.8, 38.9, 73.3, 71.4, 69.1, 46.8, 43.7, 
##     23.4, 15.6, 13, 7.44, -1.12, -25.5, -30.5, 48.4, 50.3, 52.2, 
##     54.2, 63, 68.9, 75.4, 77, 79.5, 80.7, 81, 80.8, 79.2, 78.1, 
##     75.2, -10.1, -32, -41, -42.9, -44.1, -44.7, -45, -45.3, -44.6, 
##     -41.9, 58.1, 55.5, 49.9, 33.5, 27.1, 13.9, 10.8, 7.27, -16.8, 
##     -25.6, -26.8, -28.9, 61.2, 61, 60.6, 60.2, 60, 59.3, 58.5, 
##     58.1, 57.4, 51.5, 45, 42.8, 13.9, 14.3, 18, 19.4, 19.9, 23, 
##     23.6, 26.4, 26.9, 28.8, 30.5, 17.7, 17.5, 16.3, 16.2, 16.1, 
##     15.8, 15.3, 14.9, 14.2, 13.8, 13, 12.7, 12.6, 12.6, 12.8, 
##     13.1, 13.4, 24.9, 25.1, 25, 24.5, 23.8, 22.9, 22.1, 20, 18.8, 
##     -27.7, -27.9, -28, -28.1, -28.2, -28.8, -28.9, -29.4, -29.9, 
##     -30, -30.5, -30.7, -31.4, -31.8, -35.9, -36, -41, -41.1, 
##     -41.1, -41, -40.8, -41.2, -41.9, -42.8, -43.7, -43.8, -45.3, 
##     -46, -46.3, -46.6, -47.2, -49.1, -49.5, -49.9, -50.5, -51.1, 
##     -51.6, -51.9, -52.4, -52.5, -52.8, -53.1, -53.4, -54.1, -54.7, 
##     -55, -56.4, -56.8, -57.6, -57.8, -58.6, -59.7, -59.9, -60, 
##     -60.1, -60.2, -60.3, -61.1, -61.2, -61.3, -61.5, -62, -62.1, 
##     -62.2, -62.4, -62.5, -62.6, -63, -63.1, -63.5, -64.3, -64.5, 
##     -64.8, -66.7, -66.8, -66.9, -66.9, -67.2, -67.4, -67.8, -67.9, 
##     -68.4, -68.6, -69.1, -69.2, -69.5, -69.8, -70.1, -70.4, -70.6, 
##     -70.9, -71.2, -71.3, -71.3, -71.2, -71.2, -71.1, -70.9, -70.9, 
##     -70.8, -70.8, -71.8, -71.8, -71.8, -71.7, -73.2, -73.3, -73.4, 
##     -73.4, -73.2, -73.1, -73.1, -73, -73, -72.9, -72.7, -72.7, 
##     -72.5, -72.5, -72.3, -72.2, -72.1, -72.1, -72.1, -72, -72, 
##     -72, -71.9, -71.7, -71.5, -71.1, -70.5, -69.7, -69.2, -68.8, 
##     -68.7, -68, -67.2, -67, -66.6, -66.6, -66.6, -66.6, -66.4, 
##     -66.3, -65.6, -65.4, -65, -64.9, -64.8, -64.7, -64.5, -64.4, 
##     -63.9, -63.7, -63.6, -63.3, -63, -62.9, -62.5, -62.1, -61.9, 
##     -61.7, -47.2, -45.2, -43.1, -39.5, -39.2, -40.2, -41, -41.3, 
##     -41.5, -41.6, -41.7, -42.2, -43.3, -44.5, -44.7, -44.9, -45.4, 
##     -44.1, -44.1, -44, -44.1, -44.1, -44.1, -44, -43.9, -43.4, 
##     -42.2, -41, -40.3, -39.8, -39.3, -39.1, -38.8, -38.7, -39, 
##     -39.2, -40.9, -41.9, -42.2, -43.3, -43.5, -43.7, -43.8, -43.9, 
##     -43.7, -43.4, -43.1, -43.2, -43, -42.9, -42.7, -42.5, -42.4, 
##     -42.1, -42, -41.7, -41.6, -41.3, -40.8, -39.6, -37.6, -33.3, 
##     -32.7, -30.1, -29.5, -29, -28.3, -28.1, -27.4, -27.4, -27.6, 
##     -28.2, -28.3, -28.4, -28.1, -26.4, -26, -25.6, -25.4, -25.3, 
##     -25.2, -25.2, -25.1, -24.9, -24.5, -24.4, -24.2, -24.2, -24, 
##     -9.67, -10.2, -11.6, -11.9, -12.2, -13.1, -13.9, -17.3, -20.9, 
##     -19.8, -15.7, -14.2, -11, 2.5, 3.34, 6.19, 7.08, 9.38, 11, 
##     10.3, 8.9, 3.23, -32.9, -32.5, -32.1, -25.8, -7.99, -4.28, 
##     5.88, 9.7, 12.1, 18.1, 23.1, 23, 22.4, 21.9, 21.2, 19.4, 
##     11.5, 5, 0.59, -0.64, -7.52, -8.69, -8.86, -20.7, -26, -36.4, 
##     -37.9, -38.3, -38, -35.5, -33.9, -30.9, -25.8, -23.5, -18.9, 
##     -16.6, -5.2, -1.38, 8.24, 23, 23.9, 27.3, 30.5, 31.3, 29.6, 
##     23.9, 20.1, 15.1, -6.18, -10.5, -23.1, -35.3, -36.3, -37.1, 
##     -38.3, -38.5, -37.9, -36.5, -36, -35.2, -33.9, -32.3, -26.6, 
##     -21.7, -17.7, -15.6, -13.5, -7.85, -6.16, -3.22, -0.34, 23.9, 
##     27.4, 32.4, 26, 24.7, 23.1, 21.5, 14, -3.4, -12.3, -21.2, 
##     -25.3, -27.7, -29.4, -33.4, -37.6, -38.5, -39.7, -40.8, -40.5, 
##     -40.3, -39.7, -39.1, -38.9, -38.3, -38.3, -37.8, -37.8, -37.6, 
##     -37.2, -35.9, -28.1, -26.3, -22.3, -7.05, -4.64, 2.16, 8.25, 
##     9.61, 13.6, 14.9, 19.7, 22.4, 25.8, 32.6, 34.5, 34.6, 34.6, 
##     34.1, 33.8, 33.5, 33.1, 32.1, 31.6, 30.1, 29.2, 27.3, 19, 
##     17.4, 10.8, 7.71, 2.41, 1.14, -0.26, -2.94, -5.47, -8.9, 
##     -13.2, -14, -23.4, -33.6, 3.89, 6.6, 13.1, 20, 25.8, 26.8, 
##     32.8, 33.7, 35.9, 36.5, 36.2, 35.6, 34.7, 29.8, 26.3, 24.5, 
##     20.6, 16.6, 14.6, 9.68, 6.52, 3, -17.4, -9.03, -6.84, -4.27, 
##     -2, 5.12, 7.34, 9.49, 18, 22.2, 24.1, 28.1, 29.8, 45.5, 51.4, 
##     54, 63.2, 64.5, 72, 74.2, 74.8, 75.4, 76.9, 77.4, 76.9, 76.1, 
##     71.5, 69.7, 60.6, 42.7, 39.6, -0.83, -9.33, -14.6, -23, -24.7, 
##     -26.8, -33.7, -34.3, -31, -30.2, -29.7, -28.5, -27.7, -26.8, 
##     -25.7, -24.5, -22.2, -19.1, -18.5, -17.6, -16.6, -14.9, -11.2, 
##     -9.42, -6, 2.5, 9.89, 12.5, 18.1, 40.4, 58.3, 63.5, 68.4, 
##     69.8, 71.3, 75.7, -39.4, -40.8, -41.7, -42.1, -42.4, -43, 
##     -43, -40.9, -40.8, -40.6, -40.1, -39.1, -2.95, -6.76, -10, 
##     -12.7, -13.5, -14.4, -18, -26.9, -29.8, -31.2, -31.5, -31.6, 
##     -31.5, -31.3, -30.2, -30.2, -30.1, -30.7, -31.1, -31.3, -31.6, 
##     -45.2, -44.8, -44.9, -45, -45.2, -45.2, -45.3, -44.9, -44.5, 
##     -44.4, -44.4, -44.3, -62.4, -62.5, -62.5, -62.4, -62.5, -63.2, 
##     -64.1, -64.2, -64.3, -62.9, -58.9, -57.4, -56.6, -54.5, -71.9, 
##     -72.1, -72.7, -73, -73.1, -73.1, -73.1, -73.1, -73.1, -73.1, 
##     -73.1, -33.6, -33.4, -33.3, -33.3, -33.9, -34.8, -35.7, -36.9, 
##     -37.9, -38, -38.3, -39, -39.7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, -36, -37.4, -39.1, -38.9, -25.1, 
##     -0.44, 5.43, 18.9, 17.4, 15.2, 13.8, -2.49, -10, -12.7, -30, 
##     -34.4, -43.1, -44.5, -41, -40.3, -5.03, 1.57, 7.42, 9.17, 
##     10.9, 12.4, 16, 18.5, 18.8, 18.2, 18.4, 18.7, 19, 20.3, 20.3, 
##     -15.9, -13.7, 4.4, 7.49, 8.99, 10.3, 12.9, 16.6, 18.8, 19.9, 
##     22.1, 22.5, 22.8, 23, 23.1, 23.1, -50.3, -49.1, -39.2, -27.9, 
##     -21.7, -19.3, -17.2, -12.4, -9.88, -3.3, -1.22, 3.06, 4.89, 
##     23.1, 25.2, 43.7, 43.7, 43.7, 43.6, 43.6, 43.6, 43.5, 43.5, 
##     43.6, 43.6, 43.7, 43.7, 43.7, 43.8, 43.8, 43.6, 43.5, 43.5, 
##     43.4, 43.6, 28.4, 29.4, 38.1, 44, 44.2, 44.7, 44.9, 45.1, 
##     46.7, 47.2, 46.9, 46.7, 46.4, 46.1, 45.6, 45.1, 24.8, 24.5, 
##     24.2, 24.1, 25.9, 26.3, 26.4, 26.6, 26.4, 26.1, 25.2, 25, 
##     24.7, 24.5, 24.4, 24.5, 25, 25.4, 26.7, 12.4, 13.7, 14.9, 
##     15.8, 16.4, 16.9, 16.1, 14.7, 14.7, 14.9, 22.8, 24.5, 8.47, 
##     10.8, 13.3, 14.7, 15.2, 18.3, 20.7, 20.7, 20.1, 18.2, 17.9, 
##     13, 9.27, 8.19, 22.4, 33.9, 41.7, 45.9, 48.5, 49.8, 50.1, 
##     50.4, 50.3, 45.1, 39.8, 82, 83.6, 60.1, 56.3, 44.5, 36, 35.1, 
##     32.5, 32.2, 16.5, 22.5, 28, 28.9, 30.8, 32.3, 38.7, 38.1, 
##     -45.7, -42.3, -40, -38.8, -35.7, -32.1, -31.2, -27.6, -33.4, 
##     -34.6, -40.3, -42.9, -44, -9.8, -9.77, 34.5, 45.7, 40.1, 
##     36.8, 32.7, 30.3, 15, 11.9, 4.89, 1.21, -4.1, -8.16, -12.5, 
##     -20.2, -26, -29.2, 0.65, 3.36, 5.18, 5.71, 6.61, 5.83, 2.8, 
##     0.33, -1.05, -1.33, -1.65, -2.24, -2.52, -3.16, -5.1, -5.23, 
##     -5.4, -5.56, -5.67, -5.69, -5.67, -5.99, -11.6, -16.1, -22.9, 
##     -25.5, -39.6, -54.6, -60.1, -65.1, -61.4, -53.2, -42.7, -39.3, 
##     -20.6, -10.4, -12.9, -22.8, -29.2, -45.4, -64, -83.1, -87.1, 
##     -64.7, -60.5, -56.3, -48.2, -44.1, -62, -57.1, -48.2, -21.4, 
##     -3.96, -2.23, -6.88, -18, -24.8, -47.4, -51.4, -62, -70.3, 
##     -72.1, -72.9, -62.3, -53.9, -48.1, -36.5, -31, -28.6, -26.4, 
##     -22.9, -21.7, -20.1, -19.8, -19.3, -20, -24.2, -47.8, -54.7, 
##     -58.2, -61.5, -71.4, -73.7, -59.9, -43.1, -13.7, -9.41, 16.3, 
##     14.7, 6.64, -9.34, -18.7, -22, -34.6, -54.5, -53.8, -51.1, 
##     -47.9, -46.1, -44.4, -42.5, -38.5, -36.9, -27.9, -39, -42.7, 
##     -40.8, -23.2, -5.69, -2.02, 12.9, 16, 26.3, 26.3, 15.8, 13.3, 
##     10.6, -11.7, -20.3, -22.8, -21.2, -20.6, -20.6, -21.8, -23.1, 
##     -26.6, -28.2, -27.5, -7.48, -1.67, 7.16, 12.8, 23.6, 25.1, 
##     29.8, 28.8, 28.1, 27.3, 25.6, 18.6, -22.2, -23, -21.4, -18.5, 
##     -12.8, -10.6, 4.04, 10.1, 12, 16.5, 20.7, 21.5, 19.7, 16.9, 
##     15.7, 11.1, -1.23, -3.06, -5.67, -10.1, -11.1, -11.5, -11.5, 
##     -10, -9.34, -8.2, -7.64, -6.89, -5.07, -4.13, -2.57, 8.44, 
##     10.4, 11.2, 15.2, 16.3, 18.6, 20.9, 22.3, 23.3, 20.5, 6.97, 
##     3.26, 1.69, 1.18, 0.7, 0.14, -3.41, -3.74, -4.68, -4.9, -2.39, 
##     2.06, 13.5, 3.75, 2.7, 3.47, 5.35, 7.32, 8.06, 8.84, 9.77, 
##     13.2, 15.8, 18.5, 18.8, 18.5, 18.4, 18.1, 11.5, 8.91, 7.34, 
##     5.82, 4.2, 3.05, 8.14, 14.4, 16.5, 21, 26.9, 30.7, 31.2, 
##     31.3, 30.4, 21.1, 18.7, 13.7, 9.5, 9.64, 10.5, 11.2, 12.6, 
##     14.4, 17.2, 19, 23.9, 24.2, 24.1, 22.2, 19, 16.2, 9.57, 3.83, 
##     1.95, -0.22, -3.72, -8.72, -9.58, -52, -37.4, -31.6, -28.9, 
##     -23.5, -21.8, -7.39, -17.8, -13.9, -8.59, -6.8, 2.85, 8.01, 
##     9.26, 10.2, 10.6, 11.2, 11.5, 11.8, 12, 12.1, 12.1, 12.1, 
##     12, 11.9, 10.3, 10.4, 11, 11.1, 11.4, 11.4, 12, 12.9, 13.2, 
##     13.2, 13.2, 13.2, 12.9, 12.6, 12.5, 12.4, 12.4, 12.3, 12.3, 
##     12.3, 12.5, 12.4, 12.4, 12.5, 12.5, 12.4, 12.4, 12.4, 12.3, 
##     12.3, 12.2, 12, 11.9, 11.9, 11.8, 11.7, 11.7, 11.7, 11.5, 
##     11.5, 11.4, 11.3, 11.2, 11.2, 11.2, 11, 10.9, 10.9, 11, 11.4, 
##     11.5, 11.5, 11.4, 10.7, 10.3, 9.89, 6.54, 5.64, 4.61, 1.04, 
##     -0.2, -1.54, -29.1, -27, -20.8, -19.2, -15.4, -12, -10.1, 
##     -8.4, -5.09, -0.18, 4.28, 12.7, 14.1, 14.8, 15, 15.2, 15.2, 
##     15.2, 15.2, 14.9, 12.7, 8.19, 1.4, -0.6, -7.18, -9.59, -15.2, 
##     -18.2, -34.6, -37, -35.1, -26.3, -22.3, -15.8, -8.36, -7.03, 
##     -7.02, -14.6, -26.1, -28.6, -29.6, -31, -31.7, -31.9, -27.6, 
##     -24, -11, -7.99, -5.32, 7.01, 4.11, -11.1, -15.9, -20.3, 
##     -22.4, -28.4, -32.5, -32.7, -32.2, -31.6, -30.7, -29.7, -20.8, 
##     -19.2, -9.42, -10.1, -13.7, -15, -22.3, -28.9, -29, -28.9, 
##     -28.7, -28.1, -26.1, -23.1, -19.7, -16.3, -8.67, -6.15, -3.86, 
##     -2.63, 0.82, 2.01, 5.93, 9.14, 9.31, 9.67, 9.85, 10.3, 10.7, 
##     11.1, 11.1, 9.93, 8.64, -2.81, -7.22, -16.8, -28.3, -29.2, 
##     -29.5, -29.8, -24.1, -19.3, -14, -7.92, -4.12, -2.19, -1.81, 
##     -3.7, -7.48, -8.86, -10.3, -24.6, -25.9, -28.8, -30.4, -29.2, 
##     -28.2, -26.7, -25.2, -12.3, -8.95, 5.53, 9.36, 11.2, 8.57, 
##     7.65, -23.1, -24.7, -26, -28, -28.8, -29.2, -29.7, -30.5, 
##     -12.4, -10.8, -9.12, -3.68, -2.36, -5.65, -8.84, -14.5, -20.6, 
##     -28.3, -20.2, -16.8, -21.2, -23.2, -26.4, -27.7, -28.6, -29.9, 
##     -30.3, -31.4, -31.8, -31.7, -30.5, -24.5, -16.6, -8.53, -1.09, 
##     2.16, 3.51, 3.51, 2.11, -13, -15, -24.6, -28.9, -12.2, -4.58, 
##     0.82, 5.85, 11.6, 12.1, 12.3, 12.1, 11, 10.7, 9.77, 2.42, 
##     -5.98, -11.1, -23.6, -25.8, -32.4, -33.1, -34.5, -35.2, -34.4, 
##     -52.3, -53, -46.3, -43.9, -34, -30.7, -25.2, -20.3, -15.9, 
##     -9.6, -5.82, 10.8, 12.1, 15.5, 16.4, 19.3, 19.6, 19.8, 19.7, 
##     19.1, 18.6, 17.9, 15, 4.95, 2.02, -3.56, -6.31, -15.1, -26, 
##     -29.4, -31.8, -42.5, -45.9, -52.4, -51.6, -45.7, -36.5, -33.6, 
##     -25.2, -21, -18.8, -17, -10.7, -6.77, -1.32, 2.08, 3.71, 
##     15.4, 16.5, 17.4, 19.2, 19.5, 16.9, 15.8, 7.51, -28.3, -30.3, 
##     -39.3, -45.7, -52.3, -53.3, -52.8, -52, -51, -49.7, -50.2, 
##     -53.2, -54.3, -54.6, -54.3, -50.7, -47, -38.4, -26.2, -25.4, 
##     -30.2, -31.6, -32.5, -35.2, -41.4, -49.3, -55.6, -56.8, -55.9, 
##     -55.1, -52.8, -53.6, -55.2, -56.7, -58.3, -58.3, -57, -50.7, 
##     -46.2, -31.6, -12, -3.22, 16.7, 17.8, 20.5, 21.4, 16.4, -57.7, 
##     -57.9, -58, -58.2, -57.1, -56.3, -55.2, -51.8, -49.9, -42.1, 
##     -25.3, -8.07, -3.98, -2.26, 4.2, 10.3, 11.8, 14, 15.8, 18.1, 
##     18.2, 18.2, 16.2, 16.2, 16.3, 16.4, 16.6, 16.5, 16.5, 16.5, 
##     16.6, 16.6, 16.6, 16.7, 16.6, 16.6, 16.5, 16.5, 16.3, 16.3, 
##     16.3, 16.2, 16.2, 16.1, 16, -45.1, -43, -40, -25.2, -18.6, 
##     -12.5, -4.29, 6.97, 10.3, 17.9, 19.1, 18.9, 18.5, 16, -40.9, 
##     -26.6, -23.8, -18.5, -4.92, 1.19, 3.65, 4.94, 7.21, 10.9, 
##     11.5, 11.7, 10.4, 3.71, -1.09, -21.5, -28.7, -31.8, -34.7, 
##     -44.9, -43.7, -36.3, -20.9, -15.6, -15, 12.8, 7.98, 5.11, 
##     -0.76, -3.42, -8.7, -14.9, -35.7, -37.1, -28, -26.6, -25.4, 
##     -24.9, -28.4, -31.7, -34.5, -40.4, -42.7, -41.6, -27.9, -20.9, 
##     -18.6, -14.2, 4.86, 6.91, 6.96, 3.95, -4.99, -24.9, -32.6, 
##     -38.5, -48.5, -17.7, -13, -8.82, -0.57, 3.15, 6.68, 13.8, 
##     14.9, 17.1, 17.6, 18.6, 19, 16.2, 13.6, 7.14, -40.7, -49.3, 
##     -49.6, -49.8, -46.3, -32.7, -30.1, -25, -5.71, -0.8, 0.61, 
##     5.85, 7.26, 14, 15.6, 16.6, 16.8, 13, 11.8, 6.3, -22, -25.6, 
##     -33, -36, -37.9, -41.7, -46.9, -44.1, -40.8, -38.9, -29.8, 
##     -29.4, -31.6, -37.2, -38.8, -46.2, -47.9, -46.7, -43.1, -28.7, 
##     -23.9, -21.5, -15.2, -9.86, -0.91, 2.64, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32.1, -32, 
##     -24.1, -18.7, -12.2, 12.7, 15.8, 31.3, 33.1, 40, 49, 51.3, 
##     80.2, 81.1, 81.3, 81.6, 81.9, 82.1, 82.2, 82.2, 81.8, 78, 
##     77.4, 76.7, 72.2, 70.8, 70, 69.3, 68.4, 67.9, 67.1, 66.8, 
##     63.4, 62.9, 61.4, 60.7, 60.4, 60.1, 57.8, 55.2, 51.1, 45, 
##     41.6, 33.2, 29, 24.5, 20.3, 8.4, -9.71, -17.1, -20.6, -28.2, 
##     -33.7, -44.8, -48.6, -49.8, -50.3, -54.3, -52.7, -48.6, -46.5, 
##     -38.4, -9.93, -4.43, 4.41, 13, 18.9, 46, 60.1, 68, 67.4, 
##     62.9, 60.3, 57.1, 47.9, 45, 35, 31.4, 11.6, 7.52, 3.62, -0.15, 
##     -25.6, -41, -44.4, -52.5, -54.7, -58, -60.8, -63.7, -64.4, 
##     -65, 13.5, 19.4, 25.3, 33, 42.9, 44.3, 49.4, 55, 62.3, 65.5, 
##     66.2, 66.8, 68.1, 68, 67.7, 67, 66.2, -78.1, -80.5, -82.4, 
##     -84.2, -59.1, -51, -28, -24.3, -20.3, -12.9, -9.31, 1.54, 
##     4.93, 8.52, 18.9, 31.8, 37.4, 44.6, 56.2, 57.8, 63.4, 65.1, 
##     66.4, 66.4, 65.7, 65.3, 62.8, 60.6, 39.7, 36, 0.6, -10.7, 
##     -21.2, -35.9, -44.1, -56.3, -59.7, -73.9, -80.6, -77.3, -76.8, 
##     -76.9, -77.5, -77.9, -78.5, -82.1, -87, -86.7, -80.7, -55.6, 
##     -50.7, -41, -32.6, -24.8, -21.9, -18.8, 66.5, 63.6, 60.5, 
##     49.7, 34.8, 5.08, -2.35, -14.2, -48.7, -53.1, -68.4, -71.2, 
##     -77.9, -81.4, -84, -84.7, -84.3, -86.2, -86.7, 57.5, 61.7, 
##     62.7, 63.5, 65.3, 68, 66.7, 65.6, 63, 51.6, 48.8, 29.3, 5.16, 
##     -3.56, -12, -38.4, -48.3, -53.1, -58, -71.8, -76.3, -84.1, 
##     -84.8, -85.1, -85, -87, -87.8, -87.9, -86.7, -79.8, -61.8, 
##     -49.5, -28.6, -19.9, -13.9, -11, -5.22, 0.51, 3.51, 6.36, 
##     12, 34.5, 47.6, 49.4, 51.5, 53.3, 58.9, 63.2, 64.4, 64.7, 
##     63.4, 61.4, 58.6, 44.4, 0.13, -17.1, -40.9, -61.5, -66.2, 
##     -69.9, -73, -74.5, -75.8, -80, -81.4, -81.5, -81.5, -83, 
##     -83.7, -85.7, -84.9, -83.5, -79.5, -76.9, -70.5, -66.7, -58.3, 
##     -29.7, -21.7, -18.3, -14.6, -4.02, -0.63, 2.68, 5.85, 8.91, 
##     12.3, 17.9, 20.8, 26.4, 28.9, 44.7, 57.8, 60.2, 65.1, 66.1, 
##     67.5, 68, 68.1, 68.1, 68.1, 68.1, 68, 55, 48.7, 38, -30.9, 
##     -64.2, -67.4, -73.8, -75.7, -81.6, -83, -83, -76.5, -74.7, 
##     -74.6, -75.1, -76.4, -80, -85.4, -78.1, -69.3, -50.4, -46.7, 
##     -64.1, -30, -21.5, -13.8, 0.47, 3.85, 33, 35.2, 37.4, 39.6, 
##     52.2, 53.6, -15.5, 31.6, 54.2, 56.9, 60.6, 61.8, 63.3, 65.3, 
##     66.3, 61.9, 59.9, 54.6, 32.3, -10.4, -13.8, -23.7, -34, -37.8, 
##     -41.9, -54.4, -62, -71.8, -73.5, -74.9, -76.2, -77.2, -78, 
##     -78.5, -67, -68.2, -70.3, -71.3, -72.3, -73, -71.1, -66, 
##     -60.7, -54, -43, -29.1, 52.3, 57.8, 58.7, 59.4, 60.2, 63, 
##     64.1, 68.9, 70.6, 71.6, 73.2, 73.6, 75.6, 76.1, 76.5, 77, 
##     77.5, 79.2, -22.4, -13.3, -7.36, 10.7, 13.6, 19.2, 21.6, 
##     40.3, 53.7, 84.6, 84.4, 81.9, 74.8, 72.7, 63.9, 58.7, 55.8, 
##     46.2, 39.5, 23.5, 17.3, 13.9, 10.8, 4.48, -1.34, -20.4, -18.1, 
##     -28.8, -40.2, -43, -43.6, -44, -44.6, -44.4, -44.3, -44.2, 
##     -44.1, -43.9, -43.6, -42, -41.7, -40.6, -36.5, 31.9, 32.1, 
##     32.1, 31.7, 28.2, 16.4, 14.3, 3.5, 0.14, -16.3, -17.7, -18.9, 
##     -23, -24.3, -27, -29.6, -33.7, -35.4, -36.3, -38.7, -39.3, 
##     -39.9, -40.4, -40.3, -39.1, -38.6, -38.3, -37.8, -36.3, -35.5, 
##     -33.4, -32.3, -29.8, -16.7, -6.28, -4.39, 1.85, 4.7, 9.59, 
##     12.8, 15, 18.4, 20.7, 22.7, 23.6, 25, 26.7, 27.9, 29.5, 32.6, 
##     33.1, 34.1, 33.7, 33.4, 23.4, 8.47, -4.32, -7.51, -10.3, 
##     -15.8, -18.6, -21.1, -25.6, -26, -27, -27.6, -28.8, -29.7, 
##     -29.4, -28.8, -27.4, -23.9, -16.1, -4.18, -2.2, -0.15, 3.37, 
##     12.2, 14.7, 18.9, 19.9, 22.7, 26.4, 27.3, 33, 34.9, 35.2, 
##     35.6, 35.8, 36.2, 35.7, 35, 33.3, 31.6, 30.6, 28.2, 25.4, 
##     23.9, 22, -36, -35.7, -35.7, -35.6, -35.3, -34.9, -33.9, 
##     -33.5, -33.1, -31.5, -31, -30.6, -30.2, -29.7, -29, -28.5, 
##     -27.6, -26.5, -22.9, -18.6, 31.4, 31.6, 32, 32.2, 32.4, 33.2, 
##     33.2, 33.1, 33.1, 28.8, -2.09, -7.31, -9.68, -22.1, -24.3, 
##     -26.3, -30.1, -33.2, -36, -35.7, -29.6, -26.5, -25, -25.1, 
##     -26.2, -26.3, -27.1, -27.8, -29, -30.6, -30.3, -28.6, -24.1, 
##     -19.9, -13.3, 12.2, 15.6, 17.5, 22.3, 23.9, 33.6, 34, 36.4, 
##     36.2, 32.7, 31.5, 28.6, 26.9, 25.1, 15.7, 4.65, -8, -12.8, 
##     -18.1, -19.4, -26.3, -29.5, -29.1, -28.7, -26.8, -23.9, -22.7, 
##     -22.6, -22.5, -23, -23.6, -24.7, -24.7, -24.7, -25.1, -25.7, 
##     -25.3, -18.8, -17.3, -12.6, -5.34, -2.98, 1.53, 5.54, 9.16, 
##     12.5, 21.4, 23.5, 25.4, 29.4, 29.8, 31.2, 31.5, 31.8, 32.7, 
##     32.7, 32.6, 29.5, 24.3, 12.2, 3.65, -7.35, -10.7, -19.6, 
##     -24.5, -25.3, -26.3, -24.2, -23.1, -22, -21.4, -20.8, 0.08, 
##     1.76, 3.44, 6.9, 14.6, 16, 20.7, 21.7, 22.8, 23.8, 27.8, 
##     30.1, 29.5, 27, 20.2, 16.7, 12.9, 1.66, -8.86, -11, -13.3, 
##     -17.5, -18.5, -19.4, -24.3, -26.2, -26.1, -25.8, -24.4, -23.9, 
##     -23.5, -21.5, -21.2, -21.3, -21.5, -21.7, -21.8, -22, -22.2, 
##     -23.1, -23.4, -23.8, -24.9, -24.8, -23.8, -23, -22.6, -14.2, 
##     -4.37, 32.7, 31.7, 30.5, 25.6, 16.8, -13, -14.2, -18.9, -23.7, 
##     -25.3, -26.6, -29.5, -30, -30.6, -31, -31, -30.6, -28.1, 
##     -26.1, -26.2, -26.3, -30, -30.3, -30.4, -30, -29.7, -29.4, 
##     -26.9, -25.8, -24.3, -23, -15.6, -8.88, -4.55, -0.61, 8.46, 
##     11.9, 15.2, 16.8, 23.5, 29.2, 29.9, 34.6, 34.8, 34.7, 19.3, 
##     12.3, -4.85, -7.82, -17, -21, -30.3, -31.8, -34.2, -34.5, 
##     -34.3, -28.4, -29.4, -29.9, -31.2, -31.2, -31.1, -31, -30.8, 
##     -30, -29.8, -29.4, -28, -23.4, -10.5, -7.81, -3.54, -1.63, 
##     2.11, 14.3, 19.5, 20.4, 24.1, 24.7, 28.4, 28.9, 27.4, 23.8, 
##     19.6, 14.8, 13.1, 7.81, 4.23, 0.33, -1.5, -3.44, -10.9, -12.4, 
##     -17.7, -20.8, -22.3, -23.9, -26.6, 82.8, 83.3, 83.6, -24.8, 
##     -26.5, -28.4, -31.6, -36.2, -44.6, -44.6, -44, -42.6, -36.1, 
##     -32.5, -27.7, -26.3, -25.7, 56, 57, 58.1, 61, 62, 67.8, 69.5, 
##     71.1, 72.6, 73.2, 73.9, 74.6, 76, 76.5, 76.8, 77, 76.9, 75.8, 
##     74.9, 65.2, 60.5, 48.5, 45, 24.4, 21.3, 11.6, 0.26, -2.68, 
##     -8.57, -14.6, -39, -46.4, -50.2, -50.7, -52.6, -51.3, -50, 
##     -48.2, -47.7, -46.6, -46.1, -45.5, -44.9, -43.1, -42.5, -41.2, 
##     -39.7, -36.9, -36.2, -35.6, -32.4, -32, -31.8, -31.8, -32.1, 
##     15.9, 20.5, 26.1, 27.5, 28.6, 30.1, 30.5, 31.6, 32.9, 33.2, 
##     33.2, 33, -18.9, -19.4, -20.6, -21.4, -21.7, -22, -22.2, 
##     -23.3, -23.3, -23.3, -23.2, -23.3, -23.2, -22.5, -15.8, -12.2, 
##     6.81, 9.25, 16.2, 18.4, 24.6, 25.3, 26.1, 26.9, 28.4, 29.5, 
##     30.7, 14.1, 8.1, 6.32, 2.95, 0.3, -7.51, -17.6, -18.9, -28.7, 
##     -30.9, -31.8, -32.7, -33.6, -34.4, -36.7, -35, -28.2, -10.7, 
##     -8.43, 5.22, 13.4, 16.1, 16.9, 19.7, 22.4, 29.2, 30.4, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     -19, -14.2, -12.2, -8.2, -2.3, -3.82, -12.4, -16.2, -18.2, 
##     -21.8, -27.6, -29.3, -29.8, -29.3, -20.6, -15.7, -14.5, -13, 
##     -8.85, -7.7, -6.61, 7.11, 9.95, 10.1, 9.86, 9.75, 9.63, 8.99, 
##     8.44, 3.9, -1.77, -4.04, -6.35, -9.09, -0.28, 7.51, 8.04, 
##     8.74, 9.23, 10.9, 12.3, 12.4, 12.4, 12.2, 10, -8.76, -13.1, 
##     -18.2, -28.8, -30.3, -33.4, -34.9, -31.7, -28.3, -19.4, -14.7, 
##     -12.2, -11.3, -10.7, -10.7, -16.4, -19.6, -24.5, -29.5, -32.8, 
##     -34.3, -32.3, -30.3, -29.1, -30.6, -32, -34, -33.9, -32.3, 
##     17, 18.9, 19.2, 20.2, 20.5, 20.4, 20.3, 20, 19.4, 16.8, 14.3, 
##     12.8, 4.05, -10.4, -16, 9.96, 11.3, 15, 21.1, 22.5, 27.3, 
##     22.9, 18.3, 17.4, 14.5, 10.6, 7.63, 9.97, 6.03, 3.8, -8.16, 
##     -9.48, -10.6, -12.8, -16.5, -16.8, -17.9, -18.4, -12.7, -9.7, 
##     -9.7, -9.94, -15.5, -56.6, -70.5, -84.4, -40.9, -42.4, 3.74, 
##     5.82, 10.4, 9.44, 1.42, -15.5, -18.8, -25.9, -32.3, -35.1, 
##     -37.7, 4.44, -5.9, -24.6, -27.4, -29.5, -31.2, -35.5, -38, 
##     -44.9, -48.7, -49.9, -47.9, -42.6, -34.2, -28.7, -27.7, -31.3, 
##     -33, -42.8, -36.4, -29.9, -26.3, -23.5, -22.3, -22.9, -24.9, 
##     -35.5, -42.8, -43.9, -46.6, -46.7, -33.5, -35.3, -37, -40.4, 
##     -41.1, -41.8, -33.5, -22.1, -19.9, -9.3, -3.05, 11.2, -18.5, 
##     -22.4, -38.2, -45.7, -46.9, -48, -33.6, -28.4, -22.5, -21.5, 
##     -27.1, -36.4, -39.6, -49.9, -50.6, -50.7, -47.1, -44.9, -42.6, 
##     -30.9, -26.2, -28.2, -33, -36.6, -38.5, -45.6, 15.5, 15, 
##     14.7, 14.5, 14.5, 14.4, 14.4, 14.2, 13.8, 13.5, 11.1, 5.4, 
##     -1.17, -9.29, -12.6, -15.9, -27.3, -41.6, 14.9, 13.3, -1.73, 
##     -5.09, -8.21, -30, -33.6, -35.5, -39.3, -56.4, -59.4, -60.5, 
##     -60, -59.2, -57.9, -56.7, -54.6, -53.8, -54, -4.43, -2.66, 
##     2.29, 3.88, 11, 14.6, 15.6, 17.9, 18.8, 12.9, 9.32, 1.88, 
##     -19.3, 0.07, 12, 14.3, 16.7, 18.8, 22.5, 26.5, 29.8, 30, 
##     29.4, 26.3, 24.8, 18.3, 14, 12.3, 17.3, 18.4, 24.3, 25.3, 
##     28.3, 31.7, 29.7, 28.6, 26.7, 17.7, 14.6, 13.5, 11.8, 10.6, 
##     10, 10, 10.6, 13.7, 19.1, 26.6, 28.2, 29.9, 31.7, 38.8, 40, 
##     46.3, 46.6, 46.6, 48.2, 49.9, 51.1, 51.4, 51.7, 52, 52.3, 
##     53.2, 52.6, 51.1, 50, 48.6, 47, 41.1, 36.8, 28.4, 18.8, 15.6, 
##     14.2, 12.5, 11.6, 11.9, 13.4, 16.7, 20, 26.7, 34.3, 36.3, 
##     43.9, 49.3, 59.8, 61.4, 53.9, 55.5, 62.8, 64.2, 65.4, 66.8, 
##     68.4, 68.1, 67.7, 65.5, 63.8, 59.2, 57.6, 56.3, 53.6, 52.4, 
##     46.4, 45, 41.6, 35.7, 9.62, 4.18, -7.61, -5.69, -1.57, 4.2, 
##     6.33, 15, 17.1, 27.5, 28.9, 29.9, 30.8, 30.8, 30.6, 28.4, 
##     27.5, 17, 10, 5.15, 2.61, -0.43, -15.8, -19.4, -29.7, -47.9, 
##     -51, -67.1, -70, -78.3, -80.3, -80.8, -81, -80.7, -78.8, 
##     -68.8, -67.1, -65, -62.8, -37.4, -22.8, -7.12, -0.52, 0.1, 
##     0.54, 0.99, 0.85, 0.04, -0.29, -3.36, -6.82, -13.9, -16.1, 
##     -26.4, -47.7, -51, -54.4, -47.8, -47.7, -47.4, -46.6, -45.1, 
##     -44.7, -43.1, -38.4, -35.5, -34.1, -32.7, -28.2, -23.9, -15.8, 
##     -14.6, -7.37, -7.21, -7.12, -7.56, -8.49, -9.9, -10.8, -15.4, 
##     -23.3, -25.2, -34.3, -37.3, -38.9, -38.8, -38.7, -38, -33, 
##     -32.6, -31.7, -29.5, -28.1, -26.8, -25.1, -22.5, -18.7, -17.5, 
##     -13.7, -7.91, -5.7, -3.48, -1.35, -0.64, 1.19, 0.99, -0.8, 
##     -5.62, -7.06, -8.66, -15.5, -21.8, -24.3, -29.4, -27.7, -27.1, 
##     -26.3, -23.5, -19.4, -18.6, -17.7, -12.9, -1.78, 0.17, 3.52, 
##     6.85, 7.48, 9.51, 10.3, 11.9, 13.3, 16.9, 16.5, 15.7, 12.3, 
##     8.66, -2.29, -18.2, -22.7, -25.6, -28.2, -30.4, 8.3, 12, 
##     13.7, 11.4, -13.8, -18.8, -21.1, -28.1, -28.9, -31.9, -31.6, 
##     -30.8, -29.6, -26.8, -25.3, -16.1, -10.8, -9.62, -8.06, -7.71, 
##     -8.36, -12.7, -15.3, -20.4, -24.2, -25.4, -8.04, -5.95, -0.39, 
##     1.11, 2.71, 9.76, 11.4, 12.8, 12.9, 12.8, 9.81, 6.06, 4.18, 
##     -0.02, -4.85, -15.2, -17.9, -20.1, -30, -28, -12.7, -7.77, 
##     -4.01, -3.02, -4.13, -6.83, -21.2, -22.9, -26.9, -27.8, -29.2, 
##     -29.6, -29.2, -28.1, -13.7, -6.82, -2.63, -1.44, -0.26, 0.88, 
##     7.68, 11.6, 11.7, 12, 11.9, 9.93, 8.8, -1.22, -3.54, -12.8, 
##     -15.1, -17.2, -20.9, -28.3, -28.8, -27.2, -25.9, -8.86, -7.34, 
##     -4.63, -3.5, -1.36, -1.72, -2.46, -4.47, -8.45, -9.73, -15.9, 
##     -17.4, -23.1, -22.8, -19.5, -16.8, 6.68, 5.85, 5.09, 2.6, 
##     -1.34, -12.4, -13.8, 3.12, 3.3, 3.06, 2.84, 2.11, 1.89, 1.51, 
##     1.44, 0.92, 0.58, 0.07, -0.5, -1.36, -32.4, -35, -35.4, -36.4, 
##     -37.5, -35.9, -32.7, -30.2, -16.7, -12.1, 0.91, 5.49, 5.52, 
##     4.7, 4.02, 3.56, -0.11, -1.36, -6.07, -23.5, -32.6, -39.7, 
##     -41, -40.1, -40.6, -41.4, -41.4, -40.2, -33.2, -30.9, -28.9, 
##     -24.7, -16.4, -12.5, -6.73, 1.31, 8.37, 8.36, 8.38, 8.49, 
##     8.56, 8.78, 8.68, 7.59, 4.97, -3.33, -7.97, -21.1, -28.3, 
##     -34.4, -36.1, -37.1, -38.4, -42.4, -41.6, -41.4, -41.3, -41.1, 
##     -41.2, -41.4, -41.2, -40.4, -39, -35.2, -32.4, -27.1, -25.1, 
##     -18.8, -16.9, 5.19, 10.5, 7.75, -5.65, -30.1, -32.5, -34.1, 
##     -36.2, -39.7, -40.6, -41.3, -39.5, -39.4, -39.5, -39.7, -39.7, 
##     -39.1, 10.9, 10.7, 10.5, 10.2, 8.44, 6.56, 5.43, -0.66, -18.3, 
##     -22.9, -33.6, -34.2, -36.4, -35.5, -35.1, -34.9, -34.9, -35.5, 
##     -25.8, -23.9, -22.3, -11.1, -9.48, -7.88, -0.59, 6.47, 6.92, 
##     7.08, 7.21, 7.48, 7.62, 6.76, 4.82, 2.56, 1.07, -4.86, -7.23, 
##     -43.8, -45.6, -46, -46.1, -45.9, -43.8, -35.9, -33.5, -28.5, 
##     -17.7, -18.3, -19.4, -20.6, -22.2, -35.2, -43.3, -43.6, -43.9, 
##     -41.3, -40.2, -38.1, -26.3, -8.45, -6.72, 1.13, 2.46, 6.89, 
##     7.48, 7.4, 7.16, 6.75, 5.6, -0.11, -1.62, -3.55, -7.83, -21.9, 
##     -35.5, -38.5, -41.4, -41.9, -42.2, -41.3, -40.1, -38.9, -36.1, 
##     -27.8, -24.7, -22.2, -22, -25.2, -28.2, -33.6, -45.6, -47, 
##     -45.7, -43.7, -39, -26.2, -16.1, -5.44, -3.78, -0.36, 1.2, 
##     4.22, 7, 10.7, 11.1, 1.89, -3.3, -13, -24.1, -41.5, -43, 
##     -44.6, -37, -28.3, -15.5, -11.2, -7.93, 3.31, 4.09, 5.16, 
##     6.22, 6.57, 6.76, 6.89, 7.06, 7.22, 7.68, 7.83, 8.08, 8.37, 
##     9.66, 10.4, 11, 11.4, 12.3, 12.4, 12.8, 13, 13.7, 13.7, 13.7, 
##     13.6, 13.5, 13, 12.7, 12.2, 12, 12, 12, 12.1, 12.9, 13.1, 
##     13.1, 14, 14.3, 14.6, 14.8, 16, 15.9, 15.5, 12.6, 12.8, 12.9, 
##     13.1, 13, 12, 12, 11.7, 11.4, 10.5, 10.3, 9.93, 9.68, 8.84, 
##     8.12, 6.57, 6.17, 4.61, 4.51, 4.45, 4.5, 4.6, 4.6, 4.67, 
##     4.81, 4.83, 4.87, 4.99, 5.01, 5.07, 5.13, 4.96, 4.92, 4.81, 
##     4.58, 4.44, 4.28, 1.95, 0.2, -0.88, -3.32, -7.7, -30.1, -30.3, 
##     -30.3, -35.4, -42.4, -42.7, -42.6, -39.4, -38.4, -32.7, -30.9, 
##     -23.9, 1.79, 5.91, 7.94, 9.73, 13.1, 16, 24.6, 26.9, 27.4, 
##     27.1, 25.8, 15.7, -0.61, -7.5, -12.4, -16.1, -17.5, -22.4, 
##     -26.9, -32.8, -34.9, -36.6, -37.1, -37, -36.3, -35.2, -34, 
##     -16.8, 1.64, 9.49, 25.2, 26.3, -24.3, -21.6, -15.4, -11.7, 
##     -0.18, 9.59, 11.7, 20.4, 23.1, 26.8, 27.6, 23.6, 7.46, -3.16, 
##     -6, -13, -17.2, -25.6, -29, -32.1, -26.6, -23.4, -21.5, -12.8, 
##     -9.88, 1.15, 7.92, 18.6, 29.1, 29.7, 30.4, 30.7, 28.9, 27.2, 
##     14.1, 8.91, 3.46, 0.69, -25.3, -27, -30.1, -31.4, -34.9, 
##     -35.6, -36.5, -34.3, -7.14, -1.15, 1.19, 8.66, 19.7, 21.4, 
##     27.2, 28.8, 19.3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21.1, -3.84, 20.5, 23.1, 29.6, 
##     36.2, 37.7, 40.4, 46.1, 48.8, 52.2, 54.9, 56.8, 57.9, 56.2, 
##     52.4, 9.01, 11, 16.9, 22.2, 27.1, 33.5, 35.9, 38, 43.6, 48.1, 
##     51.9, 52.6, 53.4, 54.4, 55.1, 55.2, -75.8, -74.5, -72.1, 
##     -66.9, -66.7, -67.4, -72.1, -73.7, -84.5, -78.2, -73, -63, 
##     -58.5, -53.2, -34.1, -8.22, -2.62, 12, 36.1, 42.1, 51.9, 
##     55.4, 59.7, 63.8, 65, 65.3, 65.9, 66, 66.1, 66.6, 67.1, 67.4, 
##     67.8, 68.8, 69.3, 69.9, 72.6, 72.9, 74, 74.1, 75.8, 76.1, 
##     76.4, 76.6, 77.6, 79.4, 79.5, 79.3, 78.9, 76.2, 75.3, 73.3, 
##     72.8, 70.5, 69.4, 68.9, 67.6, 57.4, 56.9, 52.8, 49.1, 47.7, 
##     44, 29.7, 17.5, 0.65, -6.84, -11.5, -18.8, -21.9, -25.1, 
##     -26.4, -29.1, -29.4, -30, -30.2, -30.1, -29.6, -28, -1.18, 
##     0.35, 1.95, 3.55, 7.63, 10.2, 12.3, 13.6, 14.6, 17.6, 20.1, 
##     21.6, 23.1, 25.5, 26.1, 26.6, 27.2, 27.7, 29.1, 35.4, 38.3, 
##     41, 42, 42.2, 42.2, 41.5, 20.8, 12.3, -20.3, -22, -28.3, 
##     -29.6, -31.9, -35.4, -37.7, -43.2, -47.6, -49, -49.4, -49.5, 
##     -49, -46.3, -37.1, -35, -25.8, -23, 30.8, 31.8, 32.3, 32.5, 
##     30.2, 29.2, 23.5, 19.6, 17.3, -0.3, -8.48, -17.1, -21.7, 
##     -31.6, -33.9, -35.9, -37.5, -38.9, -39.4, -41, -41.2, -38.3, 
##     -34.9, -31.8, -25.8, -18.8, -14.2, -10, 2.86, 11.2, 16.7, 
##     27.1, 28.2, 31.3, 32.4, 33.9, 35.2, 36.4, 37.6, 39.3, 38.6, 
##     38.5, 38.3, 38.1, 29.7, 23.3, 16.5, 11.4, 8.82, 6.33, 1, 
##     -4.1, -6.64, -11.7, -14.4, -26.8, -28, -37.1, -37, -36.9, 
##     -36.8, -36.1, -35.6, -34.9, -34.2, -29.1, -23.1, -20.5, -12.2, 
##     -6.52, 0.49, 7.54, 9.6, 16.1, 26.7, 28.5, 29.4, 31.8, 33.1, 
##     33.6, 34.1, 35.4, 36.4, 37.4, 37.4, 33.6, 31.4, 28.4, 22.6, 
##     20.2, 2.27, -5.75, -27.2, -32, -33.1, -34.4, -35.7, -36.2, 
##     37.2, 38.7, 41.6, 42.1, 42.2, 41.7, 41.4, 40.4, 36.1, 34.6, 
##     33.1, 29.5, 23.2, 16.4, 9.21, 4.29, -3.73, -11.3, -16.3, 
##     -20.3, -21.9, -26.1, -34.5, -35.5, -36.5, -38.5, -39.6, -39.8, 
##     -40.2, -40.5, -40.7, -40.7, -40.1, -39, -7.76, -1.22, 27.2, 
##     28.7, 34.2, 34.9, 36.5, 38.2, 38.2, 37.4, 32.3, 18.4, 5.61, 
##     -5.35, -7.96, -10.7, -20.5, -23.1, -25.3, -30.3, -31.7, -33.2, 
##     -34.6, -35.8, -36.1, -36.5, -35.7, -26.4, -16.4, 13.3, 15.1, 
##     20.1, 27.9, 29, 32.9, 33.8, 35.5, 37.5, 37.6, 37.5, 37.3, 
##     32.1, 28.9, 18.7, 4.39, -3.05, -22.2, -25.7, -35.5, -37.1, 
##     -36.6, -35, -34.5, -34.1, -33.7, -32.6, -29, -24.5, -20.4, 
##     -15.8, -6.99, 2.16, 4.52, 8.79, 10.7, 12.7, 14.4, 17.3, 25.2, 
##     33.9, -36.4, -34.4, -32.3, -27.2, -17.8, -15.1, 1.46, 12.4, 
##     14.3, 24.1, 25.5, 30.7, 32, 33.3, 34.4, -20.2, -12.6, -10.3, 
##     -0.82, 9.38, 10.4, 15.3, 20.1, 26.8, 28.5, 66.4, 66.1, 65.8, 
##     64.8, 63.7, 62.8, 62.1, 61.5, 61.4, 61, 60.3, 60.1, 59.5, 
##     58.8, 53.5, 52.5, 45.3, 34.3, -5.23, -19.6, -43.3, -47.7, 
##     -56.4, -61.2, -79.3, -77.7, -77.1, -83, -85.7, -68.1, -57.5, 
##     -46, -27.7, -24, -16.2, -0.25, 20.4, 16.5, 0.87, -3.13, -11, 
##     -14.3, -45.7, -49.6, -53.3, -66.4, -72.6, -77, -30.6, -32.2, 
##     -30.8, -30.4, -29.1, -28.3, -27.7, -28.2, 8.37, 9.66, 10.9, 
##     24.5, 26.6, 27.7, 27.1, 26.6, 24.7, 23.7, 21.3, 20, 16.7, 
##     8.09, 0.22, -13.2, -26.7, -27.5, -28.2, -28.3, -27.6, -26.4, 
##     -24.1, -23.8, -23.7, -23.8, -24.1, -24.3, -24.3, -27.3, -27.9, 
##     -29, -29, -28.9, -28.3, -28, -27.7, -26.7, -24.1, -22.3, 
##     -20.5, -8.3, -6.73, 9.84, 13.5, 14.7, 16.7, 17.5, 18.8, 19.7, 
##     21.9, 20.3, 14.7, 6.77, 5.08, -4.66, -18.9, -21.7, -23, -24.4, 
##     -25.5, -26.6, -29.1, -29.8, -32, -33.1, -33.4, -26.9, -26, 
##     -23.1, -22.5, -22.5, -23.4, -23.7, -24.1, -24.5, -25.1, -28.6, 
##     -29.2, -28.9, -28.7, -27.5, -25.9, -13.4, -4.71, -0.8, 8.49, 
##     10.5, 16.4, 18.1, 21, 23.5, 25.9, 27.1, 31.2, 37.3, 37.9, 
##     37.5, 37, 34.8, 33.9, 30.4, 22.1, 20.3, -17.9, -19.2, -20.1, 
##     -20.4, -20.8, -21.2, -22.2, -23.4, -24, -25.8, -27.3, -27.5, 
##     -27.7, -27.2, -22.7, 29, 29.3, 28.9, 27.8, 27.2, 26.2, 24.9, 
##     22.5, 18, 14.1, 13.1, 9.3, 8.06, 6.73, 1.08, -0.06, -1.29, 
##     -1.93, -3.8, -8.12, -13, -15.4, -19.6, -21, -21.7, -21.2, 
##     -20, -16.2, -14.8, -4.84, -1.01, 0.15, 2.66, 3.86, 10.2, 
##     21.4, 27.8, 28.1, 28.3, 27.6, 26.2, 23.9, 21.9, 19.5, 8.5, 
##     1.45, -3.19, -3.53, -4.47, -5.05, -5.75, -7.38, -11.2, -13.8, 
##     -14.4, -17.6, -18, -19, -19.5, -19.6, -19.5, -19.3, -19.1, 
##     -17.7, -16.1, -15, -5.96, -1.06, -0.07, 6.62, 8.55, 18.7, 
##     21, 22, 23.8, 28.4, 30.1, 35, 36.4, 34.6, 32.8, 25.7, 18, 
##     12.2, -1.3, -3.48, -4.41, 0.98, 2.25, 4.87, 6.08, 22, 23, 
##     28.3, 29.7, 37.7, 36.8, 35, -26.8, -26.8, -24.2, -23.5, -19.4, 
##     -16.8, -9.62, -7.98, -3.13, -1.75, -0.3, 2.41, 3.83, 10.4, 
##     18.9, 20.2, 25.1, 32.4, 33.4, 33.8, 34.3, 34.3, 32.6, 25.2, 
##     18.3, 7.96, 2.46, -1.91, -3.94, -4.43, -5.87, -6.6, -9.28, 
##     -16.1, -19.3, 32.2, 23.2, 16.4, 14.7, 9.41, 7.72, -5.33, 
##     -7.76, -12.6, -13.7, -15.8, -21.2, -6.32, -9.45, -11.9, -17.8, 
##     -20.1, -21, -20.8, -20.4, -20.1, -19.6, -17.9, -16.4, -11.2, 
##     -9.87, -8.47, -6.95, -4.26, -0.22, -5.09, -3.48, -1.93, 11.8, 
##     13.2, 15.9, 22.7, 24.8, 28.4, 9.6, 7.15, -0.72, -10.5, -17.3, 
##     -18.8, -20.3, -25.6, -26.6, -28.6, -28.2, -22.1, -19.8, -19.1, 
##     -30.9, -31.1, -31.1, -31, -29.2, -28.1, -26.8, -19.8, -13.3, 
##     -7.25, -2.59, 5.57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21.1, -15.1, -13.3, -9.79, 
##     -8.12, -6.58, -5.16, -2.23, -0.93, 4.15, 5.36, 9.23, 9.56, 
##     10.4, -24.4, -28.5, -28.6, -21.3, -20.1, -17.4, -16, -8.7, 
##     -2.62, -1.78, -0.1, 0.77, -15.4, -8.86, -5.53, -3.74, -2.25, 
##     4.13, 7.31, 7.85, 8.24, 9, 8.3, 7.71, 7.38, 5.98, 5.73, 5.51, 
##     5.39, 6.28, 6.73, 7.19, -9.03, -7.36, -6.53, -10.1, -27.3, 
##     -34.9, -45, -53.7, -57.6, -49.7, -49, -48.4, -48.1, -60.7, 
##     -63.9, -66.8, -75.1, -79, -80.2, -75.8, -75.2, -74.4, -74.1, 
##     -71, -58.6, -53.7, -34.8, -32.5, -26.5, -20.5, -7.09, -12.9, 
##     -15.9, -22.1, -31, -36, -38.3, -45.3, -45.6, -38.6, -30.9, 
##     -16.8, 8.66, 3.6, -6.07, -7.76, -8.13, -7.66, -6.59, -4.79, 
##     -1.56, 5.55, 9.87, 22, 26.6, 35.1, 70.1, 69.9, 70.5, 71.1, 
##     71.5, 75, 76.6, 57.2, 50.9, 37.3, 33.6, 20.5, 28.8, 29.8, 
##     17.8, 11.5, 9.33, 7.19, 2.73, -1.9, -4.3, -6.61, -9.04, -11.1, 
##     -14.2, -15.5, -18.1, -19.7, -33.5, -35, -36.1, -38.7, -38.6, 
##     -35.9, -36.3, -41.2, -37.5, -36.1, -34.6, -33.1, -28, -24.6, 
##     -20, -17.7, -38.5, -3.45, -4.86, -17, -19.3, -24.8, -29.3, 
##     -50.1, -52.2, -54.8, -57.6, -64.3, -64.1, -65.8, -67, -66.9, 
##     -66.5, -66.3, -57.7, -50.5, -19.8, -8.3, -3.57, -1.96, -2.83, 
##     -7.8, -11.5, -29.4, -36.6, -40.3, -46.7, -53.4, -55.9, -58.8, 
##     -63.6, -65.5, -60.2, -62, -63.7, -64.5, -65, -52.3, -54.5, 
##     -59.3, -60.3, -61.5, -60.3, -59.1, -62.9, -57.3, -49.3, -46.8, 
##     -40.2, -26.9, -19.1, -13.8, -12.4, -12.6, -13.4, -21.1, -23.2, 
##     -28, -30.6, -34.2, -40.9, -42.8, -50.3, -52.9, -55.7, -57.9, 
##     -63.8, -59, -60.6, -61.6, -63.1, -63.8, -63.8, -63, -56.3, 
##     -48, -45.3, -34.2, -16.8, -14.4, -10.2, -30.6, -28.5, -25.8, 
##     -24.7, -22.3, -21, -13.6, -12.2, -9.2, -7.65, -4.63, 1.26, 
##     6.6, 7.65, 8.76, 13.5, 25.8, 26.1, 25.9, 25.7, 21.8, 19.4, 
##     18.1, 0.3, -1.95, -14.8, -17.5, -19.9, -22.5, -31.1, -35.4, 
##     -37.5, -37.8, -37.5, -36.4, -35.5, -33.9, -34.8, -16.6, -13.8, 
##     -13.3, -12.6, -12.2, -11.9, -11.9, -11.9, -12.1, -12.4, -12.7, 
##     -12.9, -13.1, -13.4, -15.7, -16.1, -16.6, -17, -17.9, -18.4, 
##     -21.1, -20.8, -8.52, -6.03, -3.03, -0.36, 0.4, 4.42, 6.06, 
##     6.88, 7.42, 8.83, 9.1, 9.37, 5.31, 4.43, 1.71, 0.83, -0.01, 
##     -3.07, -3.48, -3.21, 2.43, 4.63, 5.8, 8.3, 9.52, 27.6, 30.1, 
##     30.1, 29.9, 29.6, 28.6, 24.2, 16.1, 9.47, 5.86, 5.14, 4.88, 
##     8.1, 13.7, 20.7, 22.4, 26, 34.3, 37.3, 38.7, 42.9, 46.1, 
##     47.7, 47.7, 48, 48.3, 48.7, 50.6, 51.1, 52.2, 50.8, 49.8, 
##     23.2, 20.9, 16.1, 11.9, 8.9, 7.99, 7.5, 8.03, 9.05, 15.9, 
##     32.2, 41.2, 43.9, -11.8, -8.14, -1.8, 8.5, 13.8, 17, 22.6, 
##     25.7, 40.1, 42.8, 45.4, 48.1, 60, 62.2, 69.9, 72, 72.8, 73.4, 
##     71.6, 71.2, 70.6, 68.6, 51.7, 49.1, 46.3, 43.5, 40.9, 37.7, 
##     34.9, 25.5, 7.28, -1.12, -3.96, -9.37, -17.3, -19.4, -21.2, 
##     44.6, 44.4, 42.6, 41.7, 39.6, 38.3, -10.4, -34.4, -37, -40.7, 
##     -41.6, -39.7, -36.7, -20.8, -12.5, -9.31, 10, 17, 20.8, 22.7, 
##     24.3, 31, 32.1, 32.5, 32.2, 31.8, 31.3, 29.1, 26, 24.8, 21.9, 
##     9.08, -13, -16.2, -19.7, -23.4, -26.9, -55.7, -52, -47.5, 
##     -27.5, -24.2, -21.4, -15, -0.57, 10.2, 14.2, 11.6, 8.81, 
##     5.53, -0.53, -5.75, -11.3, -14.7, -60.5, -64.1, -77.1, -80.8, 
##     -79.8, -78.4, -64.2, -61.1, -38.8, -31.6, -18, -17.9, -17.8, 
##     -16.8, -12.1, -4.44, -1.07, 1.69, 4.47, 7.55, 11.6, 16.8, 
##     0.28, -4.06, -4.94, -9.11, -11.6, -14, -15.5, -16.5, -17.1, 
##     -22.4, -19.3, -18.1, -16.6, -15, -13.5, -10.3, -8.58, -0.59, 
##     7.01, 17.2, 18.5, 20.7, 21.6, 22.5, 24.3, 24.8, 24.7, 23.6, 
##     11.7, 5.51, -2.56, -3.01, -5.36, -6.63, -7.34, -9.92, -12.5, 
##     -14.5, -15.5, -16.4, -21.6, -25.9, -26.5, -30.4, -30.4, -29.1, 
##     -28, -25.5, -24.4, -23.8, -23.4, -20.2, -11.4, -9.18, -14.1, 
##     -8.64, -5.26, -2.29, -1.37, 0.33, 1.53, -0.29, -0.99, -2.58, 
##     -3.57, -4.63, -7.24, -8.6, -9.99, -14.3, -18.3, -26.5, -27.5, 
##     -31.7, -32.6, -35.2, -35.4, -36.4, -36.4, -36.1, -35.9, -35.2, 
##     -35, -34.2, -25.8, -24.2, -16.5, -15.3, -14.1, -12.2, -3.79, 
##     -3.19, -2.76, -2.51, -2.45, -4.45, -5.39, -7.23, -13.3, -15.5, 
##     -19.4, -22.3, -30.5, -31.2, -31.4, -31.5, -31.6, -31.7, -32, 
##     -32.1, -32.2, -33.7, -33, -31.6, -31.3, -30.7, -22.1, -20.8, 
##     -15.3, -10.3, -1.31, 0.17, 0.43, -1.06, -1.62, -2.92, -8.04, 
##     -14.8, -18.5, -21.7, -22.6, -24.9, -36, -32.5, -31.8, -26.8, 
##     -24.1, -17.2, -14.8, -13.9, -10.2, -7.98, -4.89, -4.64, -4.49, 
##     -6.11, -9.21, -11.3, -12.3, -21.6, -22.5, -30.3, -31.1, -31.8, 
##     -33.2, -33.7, -34, -34.3, -35.6, -35.8, -35.9, -35.9, -35.7, 
##     -35.5, -35.3, -34.8, -32.8, -31.7, -30.2, -29.5, -24.2, -21.3, 
##     -18.3, -10.2, -17.4, -25.3, -35.8, -37.5, -40, -38.8, -39.2, 
##     -40.5, -41, -30.2, -19.4, -17.2, -5.52, -2.14, -0.75, 2, 
##     6.48, 8.69, 10.3, 9.2, 8.64, 6.96, 2.75, 1.19, -7.6, -15.1, 
##     -33.3, -35.6, -37.9, -41.9, -41.5, -41.3, -40.9, -40.7, -40.5, 
##     -39.4, -34, -31.2, -28.4, -8.95, -6.85, -3.2, 0.47, 6.86, 
##     10.4, 12, 12.5, 12.9, 12.5, 11.5, 10.1, 9.22, 8.12, 6.73, 
##     3.44, -5.52, -26.1, -29.7, -1.78, 1.35, 4.84, 8.68, 9.06, 
##     9.5, 9.01, 8.86, 8.19, 8.24, 8.13, 6.42, 2.57, 0.14, -8.34, 
##     -11.6, -16.8, -18.6, -20.4, -23.9, -25.6, -29.2, -38.3, -40.1, 
##     -39.4, -35.5, -30.5, -38.8, -38.9, -27.6, -18.2, -15.9, -13.6, 
##     -11.4, -4.08, 2.93, 7.25, 12.1, 13, 12.3, 11.7, 11, 10.5, 
##     9.74, 8.77, 4.37, 2.62, -6.31, -13.4, -17.7, -21.4, -23, 
##     -24.5, -25.3, -27.3, -25.2, -23.1, -22.3, -22.5, -28.8, -28.9, 
##     -19.7, -17.9, -8.29, 4.47, 6.03, 11.9, 12.5, 12, 10.8, 10.5, 
##     9.89, 9.28, -1.96, -4.24, -9.19, -15.9, -17.9, -23.5, -24.8, 
##     -27.7, -28.1, -21, -25, -25.9, -26.6, -17.5, -15.9, -4.25, 
##     -2.69, 0.82, 3.01, 5.06, 7.98, 7.91, 8.41, 8.76, 4.67, 3.26, 
##     -8, -16.1, -19.5, -22, -23.6, -21.2, -19.1, -18.2, -18.4, 
##     -20.7, -23.3, -21.3, -19.9, -16.5, -2.18, 2.26, 6.13, 6.97, 
##     8.08, 8.4, 8.1, 7.43, 6.02, 5.8, 4.65, -2.18, -6.02, -10.3, 
##     -12.3, -19.8, -21, -21.8, -22.8, -22.9, -22.3, -20.6, -19.7, 
##     -18.7, -17.8, -16.4, -16, -16.6, -17.4, -21.9, -21.9, -21.4, 
##     -21.5, -18.1, -15.1, -13.8, -2.74, -1.56, 0.53, 3.37, 4.08, 
##     3.6, 3.42, 3.31, 3.49, 3.66, 4.39, 4.56, 4.68, 4.73, 4.49, 
##     2.82, 1.08, -0.02, -5.24, -8.45, -13.9, -20.3, -21.5, -24, 
##     -24.6, -24.7, -18.7, -18.8, -19.1, -19.6, -20.2, -21, -23.2, 
##     -24.1, -23.6, -22, -17.5, -16, -11.2, -9.39, 1.17, 4.4, 7.56, 
##     7.58, 7.05, 7.18, 7.86, -19.5, -21.8, -21.8, -17.7, -11.3, 
##     -9.45, -7.82, -4.36, 2.18, 5.05, 7.38, 2.65, -6.51, -14, 
##     -42.1, -40.5, -31.2, -27.3, -2.34, 2.05, 7.32, 11.3, 14, 
##     17.9, 16.7, 14, 13, 10.3, 8.89, 1.96, -2.08, -4.62, -19.6, 
##     -22, -22.9, -26.4, -28, -31.9, -33.6, -35.6, -45.3, -47.2, 
##     -49, -50.7, -54.1, -54.8, -53.5, -42.2, -39.1, -9.76, -2.47, 
##     -0.1, 1.95, 4.13, 9.49, 11, 16.2, 17.9, 18.2, 15.4, 14.2, 
##     11.3, 3.61, 1.44, -0.89, -3.66, -14.7, -23.4, -46, -51.4, 
##     -56.1, -56.5, -56.8, -56.5, -54.2, -44.6, -25.2, -22.4, -19.7, 
##     -14.7, -10.1, -5.94, -3.92, -2.15, 10.9, 11.3, 10.9, 8.2, 
##     3.3, -19, -33.6, -34.9, -36, -39.7, -43.4, -45, -47.4, -49.4, 
##     -52.4, -53.4, -53.7, -52.2, -51.2, -49.7, -46.1, -31, -27.6, 
##     -25, -11.5, -2.21, 5.14, 7.82, 12.5, 13, 12, 11.1, 10.1, 
##     -4.88, -19.8, -22.9, -25.5, -30.5, -34.4, -37.5, -39.1, -43.1, 
##     -44.3, -46.6, -48, -52.4, -35.7, -32.5, -17.9, -7.53, 5.41, 
##     5.49, 5.51, 4.86, 4.18, 4.28, 4.39, 4.63, 4.73, 4.81, 4.9, 
##     4.91, 4.79, 4.71, 4.62, 3.98, 3.12, 2.94, 2.44, 1.62, 0.37, 
##     -0.4, -3.11, -10.7, -19.1, -23.1, -27.4, -35.9, -36.6, -56.6, 
##     -52.8, -50.7, -35, -32.5, -30.1, -28.6, -27, -24.5, -22.3, 
##     -22.8, -23.4, -28, -40.8, -54.9, -59.2, -62.7, -62.1, -61.3, 
##     -62.5, -63.7, -64.5, -64.7, -64.6, -64, -54.1, -51.9, -25.1, 
##     -5.96, -1.01, -0.48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 34.7, 35.8, 36.7, 37.1, 37, 36.9, 36.6, 36.2, 
##     34.4, 26.3, 13.6, 29.9, 32, 37.7, 41, 41.3, 41.7, 41.9, 42.2, 
##     42, 37.9, 35.2, 33.4, 29.3, -41.3, -41.8, -42, -42.2, -43.2, 
##     -43.5, -43.6, -42.8, -41.8, -40.2, -37.9, -31.6, -29.4, -27.2, 
##     -6.34, -3.48, 20.8, 28.1, 30.7, 33.4, 34.5, 35.5, 40, 40.1, 
##     40.7, 10.5, 8.3, 3.67, -0.82, -2.92, -4.84, -8.27, -15.5, 
##     -14.7, -14.6, -13.6, -13.5, -13.4, -2.21, -14.1, -16.7, -19.5, 
##     -22.1, -27.2, -29.8, -32.4, -42.5, -52.8, -55, -61.5, -63.8, 
##     -63.4, -9.13, -12.6, -13.6, -16, -18.8, -22.3, -34, -36.7, 
##     -50.3, -55.3, -63.1, -64.5, -65.6, -68.7, -69.1, -69.9, -70.2, 
##     -70.5, -69.5, -68, -67, -49.1, -46.8, -44.4, -33, -26.9, 
##     -17.1, -16.1, -15, -57.9, -59.2, -63.2, -64, -66.4, -66.7, 
##     -67.1, -67.1, -66.5, -65.5, -63.5, -60, -54.4, -50.6, -48.6, 
##     -46.4, -41.5, -23.4, -7.85, -5.59, -4.01, -2.46, -2.44, -2.99, 
##     -4.25, -22.3, -26.5, -28.8, -31.3, -33.8, -36.6, -40.9, -56.6, 
##     -58.7, -62.1, -63.8, -64.9, -64.1, -63.8, -59.9, -56.7, -29, 
##     -16.4, -15.1, -10.5, -3.4, -0.29, -0.09, 0.11, -3.79, -6.44, 
##     -9.55, -15.6, -17.9, -22.3, -32.9, -48.5, -51, -52.1, -54.9, 
##     -56, -59.6, -60.5, -60.3, -59.9, -58.7, -55, -52.5, -51.1, 
##     -19.5, -12.4, -11.5, -10.5, -10.4, -10.4, -10.6, -11.1, -13.7, 
##     -14.7, -16, -20.8, -24.5, -26.9, -29.3, -13.9, -7.3, -39.8, 
##     -46.7, -55.1, -56.4, -58.4, -58.8, -59, -59.2, -59.2, -59.6, 
##     -59.9, -60.7, -60.9, -59.1, -58.4, -57.5, -55.4, -10.7, -7.76, 
##     -6.6, -6.37, -9.11, -13.3, -19.8, -26.9, -39.6, -45.8, -51.4, 
##     -60.4, -51.9, -46.4, -41.7, -38.6, -29.3, -27.6, -15.6, -11.8, 
##     -11.4, -10.2, -9.62, -9.38, -12.3, -11.9, -11.4, -10.8, -10.6, 
##     -10.3, -7.64, -5.93, -3.11, -2.47, -1.23, -0.71, 0.27, 1.99, 
##     2.6, 3.17, 4.54, 4.91, 40.5, 39.9, 38.6, 37.9, 38.5, 38.3, 
##     37.4, 34.7, 31.9, 30.2, 25, 14.8, 10.5, 7.24, -7.45, -22.6, 
##     -23.5, -25.3, -27.1, -36.6, -37.4, -34, -32.9, -32.5, -30.7, 
##     -28.6, -27.2, -23.6, -14.2, -11.4, -2.2, 1.89, 13.1, 14.7, 
##     16.3, 17.9, 19.4, 9.39, 0.6, -7.88, -15.2, -18.7, -22.8, 
##     -24, -25, -32.3, -33.6, -33.8, -24, -27.5, -29, -31.2, -25, 
##     -21.9, -20.3, -3.65, 0.48, 11.7, 17, 22.8, 24.5, 26.2, 28.2, 
##     -23.4, -24, -24.4, -25, -25.3, -25.3, -25.2, -25.1, -24.9, 
##     -23, -22.5, -20.9, -19.9, -16.5, -15.2, -11.2, 3.73, 5.02, 
##     15.1, 16.3, 20.5, 23.6, 30.1, 30.7, 31.1, 33, 32.7, 31.6, 
##     30.8, 29.8, 26, 23.1, 21.7, 14.9, 8.75, 1.84, -1.2, -3.8, 
##     -5.12, -6.11, -7.09, -8.99, -14.2, -15.3, -18.6, -22, -24.7, 
##     -25.1, -25.4, -25.7, -26, -25.2, -24.9, -24, -23.2, -18.9, 
##     -13.6, -12.2, -8.72, -5.58, -3.94, -2.59, -1.35, 0.08, 3.78, 
##     7.66, 8.98, 16.8, 17.5, -2.27, -5.13, -6.15, -7.71, -9.38, 
##     -9.81, -12.4, -19.7, -21.1, -22.2, -23.2, -24.2, -24.9, -25, 
##     -25, -24.8, -24.7, -24.5, -22.5, -21.6, -9.66, -8.13, 33.1, 
##     27, 21, 17.9, 14.4, 12.4, 8.7, 1.41, -1.3, -2.19, -3.02, 
##     -5.71, -8.97, -9.82, -14.7, -15.2, -15.9, -16.7, -16.9, -17.4, 
##     -27.5, -35.2, -36.8, -37.3, -37.3, -37.2, -36.9, -37.3, -37.5, 
##     -37.2, -37.1, -36.9, -36.5, -21.3, -22.3, -25.5, -28.7, -29.7, 
##     -30.5, -31.1, -31.6, -31.4, -31, -30.7, -29.5, -29.5, -29.5, 
##     -29.6, -29.5, -29, -28.7, -27.7, -26.3, -25.8, -23.3, -22.7, 
##     -4.29, -3.46, -0.08, 0.05, -1.24, -10.3, 19.5, 23.7, 25, 
##     27.1, 30.9, 36.8, 39.1, 39.7, 39.7, 39, 38.6, 36.6, 33.5, 
##     32.3, 28, 23.2, 21.3, 17.2, 10.9, 2.48, -1.51, 1.51, 3.01, 
##     9.36, 11, 14.1, 20.9, 22.3, 34.6, 19.3, 23.2, 23.6, 24.4, 
##     24.7, 26.8, 26.8, 24.9, 23.1, 19.5, 12.9, 11.5, 9.97, 3.86, 
##     0.71, -0.84, 28.8, 28.9, 28.9, 28.8, 28.2, 25.3, 24.1, 19.7, 
##     16.3, 12.5, 6.61, 4.3, -8, -12.6, -13.2, -13.7, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.01, -6.31, -9.07, -12.2, 
##     -39.8, -39.7, -29.4, -28.5, -27.9, -33.7, -31.8, -35.8, -8.83, 
##     -0.31, 1.63, 3.64, 10.6, 11.9, 13.2, 15.3, 15.9, 16.1, 16.6, 
##     16.8, 16.7, 16.4, 12.9, 6.87, -25.1, -35.2, -37.4, -40.1, 
##     -43.7, -44.1, -44.2, -43.4, -43.2, -43.2, -43.2, -43.2, -41.7, 
##     -32.3, -27.8, -23.8, -21.7, -16.2, -3.23, 10.8, 13.4, 15.3, 
##     16.8, 17.1, 16.1, 15, 14.6, 13.9, 10.9, 3.79, 1.4, -0.76, 
##     -8.28, -18, -32.7, -37.2, -39.9, -42.2, -42.2, -41.5, -42, 
##     -34.2, -22.4, -17.7, -9.77, -7.7, -5.94, -4.2, -22.6, -21.6, 
##     -14.6, -12.4, 2.28, 7.54, 13.3, 29, 35.6, 42.1, 44.2, 44.7, 
##     44.9, 44.8, 51.1, 65.4, 67.7, 69.6, 71.9, 70.9, 69.9, 66.4, 
##     61.7, 55.1, 52.6, 46.6, 43.1, 18, 20.4, 21.1, 21.7, 23.2, 
##     24.8, 26.1, 26.5, -40.9, -44.8, -44.3, -43.6, -42.7, -38.4, 
##     -37.7, -37.8, -37.7, -36.3, -34.3, -32.9, -31.4, -29.8, -17.9, 
##     -65, -64.8, -62.8, -61.4, -59.9, -55.7, -53.3, -50.8, -37.5, 
##     -33.5, -26.5, -18.4, -13.1, -10.5, -18, -43.2, -45.7, -37.3, 
##     -39.5, -42.1, -45, -46.6, -49.7, -56.7, -59, -58.1, -51.8, 
##     -55.4, -58.5, -60.3, -59.5, -58.2, -48.1, -49.1, -49.9, -47, 
##     -30.7, -22.6, -16.9, -14.1, 8.94, 10.8, 20.7, 23.2, 24.4, 
##     25.4, 32.1, 37.2, 42.2, 46.9, 49.7, 51, 57.4, 56.9, 55.8, 
##     55.7, 55.9, 0, -39.7, -41.9, -42.9, -43.8, -45.2, -45.5, 
##     -39.9, -30.2, -16.3, -9.97, -6.79, -3.63, -0.76, 4.82, 7.48, 
##     15.7, 17.6, 20.6, 22, 28.6, 29.4, 31.4, 25.2, -2.96, -11.5, 
##     -20.2, -30.7, -33.4, -35.4, -36.7, -36.1, -33.8, -33.2, -32.1, 
##     -31.1, -31.7, -34.8, -36.6, -38.2, -41.2, -41.5, -38.8, -37.4, 
##     -30.5, -23.4, -20.3, -16.6, -5.42, -2.97, 2.25, 7.01, 16.8, 
##     21.4, 23.2, 23.7, 26.3, 24.9, 22.9, 19.3, 14.7, 12.9, -17.1, 
##     -29.1, -35.1, -33.1, -31.1, -30, -24.1, -22, -20.3, -20.9, 
##     -21.6, -22.6, -26.2, -28.9, -30.2, -31.4, -33.7, -35.5, -36.9, 
##     -38.1, -37.5, -35.4, -29.9, -14.2, -11.4, 0.56, 4.29, 7.73, 
##     14.4, 16.5, 17.3, 20.6, 21, 21.4, -28.6, -24.5, -21.9, -21, 
##     -20.2, -18.5, -7.57, -9.46, -11.6, -19.4, -26.1, -35.7, -55.6, 
##     -65.6, -70.9, -71.8, -70.9, -64.5, -62.8, -65, -67.6, -70.2, 
##     -63.4, -51.9, -40.5, -28.2, -22.3, -15, -7.59, -5.22, -4.77, 
##     -10.7, -21.9, -27.6, -30.6, -36.3, -40.5, -49.7, -54, -55.8, 
##     -62.2, -63.3, -60.7, -60, -59.6, -63.5, -64.6, -64.9, -65.1, 
##     -65.5, -63.6, -62.1, -55.5, -29, -25.4, -22, -9.65, -6.96, 
##     -4.97, -5.87, -7.77, -12.3, -35.6, -42.1, -46.8, -54.4, -58, 
##     -63.6, -62.6, -61.5, -59.9, -60.9, -61.5, -61.3, -60, -50.6, 
##     -48.2, -30.1, -26.5, -22.4, -15.8, -0.55, 7.1, 4.59, -0.45, 
##     -4.71, -6.99, -12.5, -21.6, -27.9, -44.9, -47.7, -54, -57.9, 
##     -59.9, -61.5, -60.6, -56.8, -56.7, -58.3, -60.1, -61.5, -62, 
##     17.2, 17.3, 17.8, 16.9, 16.6, 15.5, 15.2, 13.2, 1.35, -36.2, 
##     -58.3, -60.8, -52.5, -43.7, -35, -28.6, -25.2, -17.1, -15.3, 
##     -14.5, -15.3, -17.2, -18.2, -19.3, -21.7, -25.1, -37, -50.3, 
##     -56.1, -57, -37.2, -19.3, -1.36, 15.2, 16.5, 16.7, 13.2, 
##     10, 6.09, 1, -4.73, -11.8, -24, -39.9, -43.8, -46.2, -48.5, 
##     -50.2, -21.7, -8.22, -3.7, 1.1, 1.35, 0.15, -1.6, -2.74, 
##     -4, -5.67, -9.43, -31, -33.9, -39.4, -45.7, -47.4, -38.9, 
##     -20.6, -10.7, -14.1, -15.6, -19.1, -24.7, -37.8, -40.9, -34.7, 
##     -11.1, 5.08, 5.43, 0.73, -2.36, -11.8, -18.4, -23.3, -20.9, 
##     -11, -18.3, -20.5, -26.9, -29, -35.1, -40.9, -41.6, -39.5, 
##     -30.5, -28.2, 1.49, 2.42, 3.86, 3.46, 2.7, -3.82, -13.4, 
##     -19.8, -23, -26.2, -29.4, -34.3, -35.3, -39.7, -38.1, -35.5, 
##     -34.2, -32.9, -31.8, -27.1, -32.1, -39.6, -41.4, -42.2, -43.5, 
##     -43.5, -39.3, -27.4, -20.5, -15.9, -6.81, 1.37, 1.92, 2.21, 
##     0.61, -1.14, -2.33, -6.76, -10.7, -15.5, -17.7, -20.2, -24.7, 
##     -29.5, -31, -34.7, -31.1, -28.6, -26.1, -25, -22.1, -22.2, 
##     -23.6, -26.8, -33, -34.2, -36.7, -37.4, -38.8, -38.1, -37.1, 
##     -33.2, -21.1, -13.7, 0.43, 1.59, 4.91, 6.51, 8.31, 5.68, 
##     4.63, 0.66, -28.8, -32.8, -35.1, -35.7, -30.9, -28.4, -27.1, 
##     -25.9, -24.7, -22.8, -23.5, -24.3, -30, -34.8, -34.8, -34.7, 
##     -26.4, -9.9, -11.2, -9.59, -3.55, -0.95, 3.12, 15.8, 18.2, 
##     20.6, 22.8, 25.4, 32.9, 43.1, 51.4, 46.3, 32.3, 22.1, -7.13, 
##     -35.2, -42.9, -70.8, -63.8, -56.5, -49.7, -36.5, -31.2, -47.4, 
##     -77.9, -66.4, -55.4, -21.2, 2.33, 6.59, 21.9, 25.2, 30, 36.7, 
##     36.1, 32.5, 30.6, 22.2, 18.7, 14.8, -3.93, -21.3, -27.1, 
##     -53.1, -59.1, -44.9, -29.7, -22.7, -31.5, -47.7, -64.1, -75.3, 
##     -75.3, -69.6, -58.3, -47.6, -12.3, -5.14, 4.73, 13.5, 16.1, 
##     23.5, 21.7, 20.7, -10.5, -29.6, -40.3, -57.9, -63.1, -69.2, 
##     -87.7, -70.9, -54.4, -16, -38.2, -56.8, -61.2, -65.6, -7.25, 
##     -6.35, -1.39, -1.48, -1.79, -2.24, -4.92, -6.66, -7.61, -12.5, 
##     -16.3, -21.2, -21.9, -22.7, -23.5, -24.5, -26.7, -33.3, -34.2, 
##     -35.1, -34.9, -34.6, -34.4, -33.4, -34.5, -34.4, -33.8, -33.4, 
##     -32.3, -31.6, -26.7, -23, -20.8, -19.2, -13, -9.81, -7.56, 
##     -5.54, -3.93, -3, -3.16, -3.34, -5.54, -6.14, -8.19, -30.1, 
##     -30.9, -31, -31.1, -31.2, -32.2, -31.9, -30.3, -31.7, -32, 
##     -31.6, -31.6, -31.7, -31.2, -29.5, -26.7, -25.9, -25, -22.7, 
##     -21.4, -10.7, -5.04, -4.74, -8.32, -11.8, -19.3, -23, -24.4, 
##     -27, -28.5, -29.4, -30.8, -32.8, -34.2, -35.1, -35.4, -35.9, 
##     -35.9, -35.8, -35.6, -35.4, -34.8, -36, -35.8, -34.7, -34.5, 
##     -28.1, -23, -17.3, -15, -14.1, -12.9, -12.3, -11.8, -11.3, 
##     -10.4, -9.73, -6.98, -4.79, -3.41, -4.05, -5.65, -7.08, -15.9, 
##     -17.1, -19.5, -22.3, -23.2, -24.8, -26.6, -30.2, -32.6, -33.2, 
##     -35, -35.2, -33.4, -31.3, -31.4, -31.6, -32, -31.3, -31.6, 
##     -32, -31.8, -30.2, -29.7, -28.2, -25.4, -24.1, -22.6, -21.8, 
##     -19, -15.7, -10.1, -6.6, -3.84, 1.59, 4.44, 13, 20.6, 23.4, 
##     27.1, 30.2, 30.5, 30.9, 31, 31.2, 31.7, 31.8, 33, 33.4, 31.5, 
##     22.4, 20.4, 15.9, 13.2, -3.35, -14.7, -15.6, -17.6, -19.7, 
##     -24.6, -24.7, -24.6, -24.1, -23.8, -23.8, -23.6, -12.6, -9.54, 
##     -7.79, -4.17, -1.17, 1.96, 9.39, 17.3, 21.3, 23.6, 24.6, 
##     29.3, 28.4, 27.1, 26, 5.38, 3.18, -9.23, -11.3, -11.5, -13.9, 
##     -17.2, -19.7, -23.7, -24.2, -25.4, -24.9, -24.7, -24.7, -24.7, 
##     -25, -25.3, -25, -24.5, -19.8, -19, -17.2, -15.9, -7.45, 
##     -2.41, 0.75, 2.29, 5.68, 14.6, 16, 20.2, 21.4, 26.7, 27.9, 
##     27.2, 20.2, 17, 15.2, 2.42, 0.1, -2.33, -14.6, -17.7, -20, 
##     -23.3, -23.8, -24.1, -24.2, -24.5, -24.1, -23.9, -23.7, -23.3, 
##     -23.6, -23.8, -23.8, -22.9, -21.6, -21.2, -20.9, -20, -19.2, 
##     -18.7, -16.4, -13.9, -11, -7.59, -5.67, -4.08, -2.51, -0.9, 
##     0.66, 3.44, -2.89, -5, -7.07, -11.3, -12.2, -16, -20.9, -22.1, 
##     -22.8, -22.9, -23.1, -23.8, -24.5, -24.6, -24.7, -25.2, -25.8, 
##     -25.7, -25.6, -24.3, -18.1, -17.7, -15.9, -13.9, -12.7, -9.85, 
##     1.28, 8.44, 14.5, 15.8, 18, 18.9, 21.8, 22.5, 22.7, 22.9, 
##     22.9, 22.7, 21.2, 15.8, 14.9, 12, 11.1, 8.72, 7.22, -3.81, 
##     -8.63, -14.9, -15.6, -17, -19.8, -21.2, -22.2, -22.5, -21.7, 
##     -21.1, -20.6, -20.1, -20.7, -21.2, -21.6, -21.7, -21.1, -20.4, 
##     -14.9, -13.6, -8.86, 4.77, 5.83, 9.39, 10.3, 13.4, 13.8, 
##     13.3, 13, 12.2, 11.8, 8.45, 6.3, 3.48, 2.61, -1.85, -3.03, 
##     -4.17, -9.53, -14.9, -19.2, -19.4, -19.5, -18.5, -18.3, -18.1, 
##     -18, -18, -18, -17.6, -17.6, -17.5, -17.5, -17.2, -16.6, 
##     -16.6, -16.5, -16.2, -14.8, -3.17, 1.53, 4.01, 5.28, 13.4, 
##     14.4, 15.9, 16.6, 15.3, 14.4, 10.9, 8.3, 5.6, -3.4, -6.16, 
##     -7.11, -7.67, -12.9, -13.7, -17.5, -16.6, -15.9, -15.5, -14.3, 
##     -15, -16.4, -17.1, -17.9, -18.4, -18.9, -19.8, -10.2, -8.56, 
##     4.56, 5.93, 9.38, 12.8, 17.4, 17.7, 18.1, 18.1, 9.81, 10.2, 
##     9.93, 9.73, 9.4, 9.52, 5.39, -3.23, -11.3, -13.3, -14.9, 
##     -17.7, -19.4, -22.7, -23.7, -25.3, -25.2, -17.7, -18.3, -24.4, 
##     -23.8, -22.4, -21.2, -16.9, -15.6, -12.5, -9.34, -7.55, 1.39, 
##     7.3, 7.7, 9.53, 9.53, 9.47, 9, 3.19, -3.67, -5.78, -7.65, 
##     -24.4, -25.1, -20.7, -19.9, -18.4, -20.1, -24.1, -23.9, -21.4, 
##     -20.4, 2.93, 4.08, 4.24, 4.31, 4.46, 5.11, 5.64, 5.55, 5.49, 
##     5.28, -1.79, -6.63, -20.5, -23.2, -30.2, -32, -30.1, -29, 
##     -27.7, -23.3, -22.2, -20.1, -19.4, -18.7, -19.1, -20.5, -22.4, 
##     -24.7, -27.8, -24.1, -23.1, -21, -18.1, -19.3, -22.5, -23.6, 
##     -24.6, -30, -30.6, -27.6, -22.9, -24.4, -29.6, -30.4, -30.1, 
##     -23.7, -22.5, -21.2, -18.8, -13.9, -11.9, -11.1, -9.79, -14.1, 
##     -22.2, -27.4, -28.9, -32.4, -33.1, -33.5, -32, -30.6, -23.2, 
##     -22, -28.2, -30.7, -31.6, -33.1, -27.8, -17.6, -14.8, -13.3, 
##     -15.3, -16.2, -18.7, -20.1, -21.6, -25.1, -35.2, -36.5, -38.7, 
##     -30.7, -25.5, -25.1, -26.5, -31.1, -36.9, -38.2, -38.4, -38.2, 
##     -37.6, -36.2, -34.2, -33, -28.6, -24.6, -20.5, -19.3, -14.8, 
##     -13.9, -14.7, -15.3, -16.8, -19, -25, -26.7, -35.9, -39.1, 
##     -41.7, -43.1, -26.3, -28.9, -29, -33.8, -36, -39.1, -40.1, 
##     -40.8, -37.4, -31.1, -27.1, -23.4, -24.2, -27.6, -30.4, -32, 
##     -40.1, -39.7, -31.8, -29.9, -28.1, -24.2, -22.4, -18.5, -6.38, 
##     -5.87, -5.6, -7.44, -8.69, -16.5, -27.4, -30.2, -35.8, -37.9, 
##     -42.9, -43.4, -40.8, -39.2, -37.6, -31.2, -30.3, -40.1, -41.5, 
##     -41.1, -38.2, -32.2, -24.5, -19.3, -13.6, -13.2, -15.1, -24.1, 
##     -28.3, -33.1, -37.7, -46.4, -47.3, -47.7, -44, -37.3, -34.4, 
##     -36.5, -39, -42, -44.6, -45.7, -45.3, -41, -32.5, -28.4, 
##     -24.7, -22.9, -21.4, -13.7, -12.4, -14.2, -18.3, -20.3, -47.6, 
##     -48.3, -45.4, -39.9, -38.2, -32.4, -21.9, -25, -38.1, -47.9, 
##     -52.6, -52.7, -37.7, -34.2, -31.1, -31.3, -32.9, -34.1, -36.8, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     -3.74, -3.73, -3.95, -4.49, -6.41, -9.59, -19, -27.3, -39.7, 
##     -49.9, -56.2, -59.3, -59.7, -60, -60.4, -60.4, -60.1, -59.9, 
##     -59.6, -58.5, -55.3, -54.3, -51.9, -49.5, -44.6, -31.6, -29.5, 
##     -27.4, -19, -16.6, -12.7, -9.26, -7.83, -6.43, -3.97, -3.74, 
##     -3.56, -3.39, -3.24, -2.59, -2.51, -5.2, -6.43, -7.81, -13.8, 
##     -18.6, -26.6, -37.5, -50, -51.8, -54.4, -57.1, -58.7, -59.3, 
##     -59.3, -58.8, -57.9, -57.3, -55, -48.8, -41.8, -39.4, -37.8, 
##     -34, -30.8, -28.7, -23.2, -20.1, -19.3, -18.5, -17.7, -14.4, 
##     -11.8, -11.9, -12.4, -13.1, -14.6, -15.4, -16.2, -24.4, -38, 
##     -58.4, -58.9, -59.6, -59.9, -60, -60.1, -59.9, -44.1, -38.9, 
##     -19.2, -17.8, -16.3, -9.4, -5.73, -4.72, -4.5, -4.29, -5.15, 
##     -7.13, -11.3, -12.6, -17.2, -18.9, -21, -23, -29.8, -35, 
##     -40.2, -47, -49.1, -50.9, -53.5, -54.4, -55.4, -55.3, -54.9, 
##     -53.5, -53.5, -54.9, -56, -57.3, -58.7, -58.9, -59.1, -59.2, 
##     -59.5, -59.7, -61.8, -62, -61.7, -60, -57.5, -37.6, -15.3, 
##     -12.5, 1.63, 3.47, 5.11, 6.66, 10.6, 12.9, 22.2, 23.1, 28.5, 
##     29, 29.6, 29.8, 39.8, 39.8, 39.8, 39.4, 39, 38.7, 37.5, 36.3, 
##     35, 33.2, 32.6, 32.3, 32, 32.4, 32.6, 33, 38.4, 39, 43.8, 
##     45.1, 45.9, 45.7, 42.3, 12.6, 4.83, -18.3, -23.5, -28.5, 
##     -38.8, -48.4, -52.1, -55, -58.1, -61.2, -47.5, -39.7, -33.2, 
##     -31.4, -28.5, -25.5, -26.6, -29.5, -30.7, -32.2, -35.8, -37.9, 
##     -57.6, -62.4, -62.9, -61.9, 24.7, 18.6, 15.1, 11.7, -3.02, 
##     -21.4, -25.3, -36.9, -42.8, -50.3, -51.6, -52.9, -52.3, -51.3, 
##     -47.3, -45.8, -39, -31.8, -31, -31.7, -33.5, -36.3, -47.6, 
##     -49.8, -50.5, -50.8, -50.4, -38.8, -24.9, -20.2, -4.05, -1.49, 
##     1.29, 3.67, 6.45, 8.91, 15.6, 17.7, 22, 34.8, 35.7, 40.8, 
##     38.3, 37, 11.9, 4.73, -14.6, -26, -36.9, -38.2, -42.6, -43.6, 
##     -43.4, -41.2, -39.1, -30.4, -28.8, -28.2, -29.3, -30.7, -31.5, 
##     -35.4, -37.6, 14.8, 34.8, 34.8, 34.7, 30.7, -35.2, -39.9, 
##     -42.5, -39.8, -43.9, -43.9, -44, -43.6, -42.9, -40.8, -35.3, 
##     -23.4, -0.96, 2.06, -39.6, -30.5, -26, -14.7, -8.44, -2.62, 
##     5.34, 7.65, 22.7, 29.3, 35.6, 38.5, 39.6, 39.6, 37.8, 27.4, 
##     30.2, 30.4, 30.7, 30.9, 31.1, 33.6, 34.3, 36.6, 38.2, 39.4, 
##     39.5, 39.3, 39.5, -24.6, -49.6, -64.1, -68.5, -42.3, -37.2, 
##     -27.9, -21.3, -23.9, -30.1, -50.9, -60.6, -36.9, -13.1, -8.49, 
##     -6.88, -2.74, -30.8, -35, -34.8, -28.4, -24.6, -20.6, -8.78, 
##     -4.98, -4.51, -4.35, -5.57, -6.27, -8.69, -10.9, -18.1, -19.6, 
##     -20.8, -21.7, -23.1, -23.1, -23, -18.8, -17, -14.5, -9, -9.21, 
##     -9.22, -9.26, -10.8, -10.5, -8.26, -7.56, -5.99, -4.86, -4.39, 
##     -4.56, -4.45, -3.67, -2.48, -1.96, -1.52, -0.82, -0.48, -3.8, 
##     -4.84, -4.9, -4.69, -4.45, -3.86, -3.91, -3.54, -3.02, -1.27, 
##     0.62, 3.62, 5.35, 8.34, 8.17, 6.86, 12.6, 14.3, 16, 19.5, 
##     20.5, 19.6, 18.8, 13.1, 11.9, 8.42, 4.73, 3.14, 2.89, 2.96, 
##     -7.15, -3.39, 3.16, 11.4, 16.6, 23.2, 24.8, 26.2, 25, 22.9, 
##     21.5, 20.4, 17.1, 16.1, 14.9, 13.8, 12.1, 10.1, 8.76, 8.78, 
##     9.56, 27.7, 28.6, 29, 26.9, 25.6, 19.8, 8.64, 2.91, -12.9, 
##     -19.7, -20.3, 51.9, 56.5, 59.6, 54, 50.1, 45.9, 38.2, 36.8, 
##     26.6, 25.3, 23.9, 21.1, 17.8, 12.2, 9.95, 6.65, 5.74, 4.94, 
##     4.28, 2.21, -0.47, -1.32, -1.74, -3.54, -4.09, -4.35, -4.11, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.08, 3.48, 4.89, 7.58, 24.3, 
##     26.9, 27.8, 28.1, 26.9, 26.1, 25.1, 24.2, 23.1, 17.2, 11.1, 
##     9.44, 7.42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -31.2, -47.5, -42, -39.5, 
##     -31.4, -23.6, -21.3, -11.8, -8.8, -7.37, -6.2, -5.48, -5.69, 
##     -6.41, -31.9, -35.2, -40.6, -33.3, -11.8, -9.92, -6.45, -4.85, 
##     -2.05, -1.37, -4.06, -5.72, -7.91, -10, -12.5, -15.2, -17.9, 
##     -9.52, -8.34, 0.42, 1.47, 4.58, 5.5, 7.15, 8.63, 9.31, 9.59, 
##     8.02, 3.04, -13.4, -11.5, 0.58, 6.74, 33.6, 35.6, 30.4, 26.3, 
##     25.7, 25.1, 24.1, 24.7, 28.2, 29.6, 31.2, 38.5, 42.5, 47.5, 
##     49.1, 5.42, 8.93, 12.1, 13.7, 18.4, 19.8, 22.3, 23.8, 22.6, 
##     2.59, 0.1, -2.59, -11.9, -12.5, 3.68, 3.35, 3.2, 3.07, 5.7, 
##     10.4, 11.1, 11.7, 12.4, 5.43, 3.97, -2.72, -3.54, -4.76, 
##     -2.07, 6.7, -5.27, -9.25, -11.5, -34.9, -44.1, -49.3, -34.4, 
##     -26.8, -15.1, -11.7, -8.63, -5.42, -77.5, -75.3, -60.1, -52.2, 
##     -48.4, -40.7, -11.8, -2.45, 0.27, 10.3, 11.1, 11.2, 10.6, 
##     -44.1, -38.5, -22.2, -14.1, -14.3, -15.4, -18.5, -42.8, -44.6, 
##     -40.8, -38.5, -24.5, -14.1, -22.1, -11, -9.73, -6.83, -7.09, 
##     -7.53, -9.72, -10.6, -22.6, -30.8, -37.6, -42.1, -43.4, -44.7, 
##     -52.5, -38.2, -31.9, -12.3, -14.6, -16.2, -19.6, -23.1, -26.9, 
##     -33.8, -36.1, -42.3, -45.6, -47.5, -47.9, -62, -61.4, -55.1, 
##     -52.8, -50.2, -46.9, -35.3, -27.4, -7.88, -5.57, 8, 9.19, 
##     10.3, 11.4, 13.8, 15, 15.8, 16.1, 16.5, 16.8, 16.9, 17, 23.1, 
##     15.7, 3.74, -4.67, -7.69, -15.8, -26.7, -43.2, -42.8, -42.2, 
##     -41.5, -38.7, -34.4, -33.7, -33.8, -34.5, -36.7, -37.7), 
##     yaw_arm = c(-161, -161, -161, -161, -161, -161, -161, -161, 
##     -161, -161, -161, -161, -161, -161, -161, -161, -161, -161, 
##     -161, -161, -161, -161, -161, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -162, -162, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -162, -162, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -162, -162, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -163, -163, -163, -163, -163, -163, -163, 
##     -163, -163, -163, -163, -163, -163, -163, -163, -163, -163, 
##     -163, -163, -164, -164, -164, -164, -164, -164, -164, -164, 
##     -164, -164, -164, -164, -164, -164, -164, -164, -165, -165, 
##     -165, -165, -165, 151, 150, 150, 149, 149, 149, 148, 148, 
##     147, 147, 146, 146, 146, 145, 144, 144, 144, 144, 144, 144, 
##     144, 143, 143, 143, 143, 143, 143, 10.7, 10, 8.83, 7.58, 
##     6.35, 3.93, 1.47, -1.12, -6.4, -9.17, -10.6, -16.2, -21.5, 
##     -25.6, -27.1, -43.3, -45, -48.3, -49.9, -51.7, -56.7, -60, 
##     -68.2, -69.8, -77.6, -82.1, -88, -90.8, -96.2, -98.8, -103, 
##     -111, -113, -118, -119, -125, -128, -130, -131, -131, -131, 
##     -132, -132, -131, -130, -128, -124, -122, -120, -115, -112, 
##     7.25, 14.1, 17.6, 22.7, 26, 25.9, 25.5, 25.1, 25.3, 25.5, 
##     29.5, 32.6, 34.7, 47.6, 57.9, 131, 167, 175, -169, -168, 
##     -170, -171, -173, -175, -175, -176, 180, 167, 132, 124, 105, 
##     95.5, 77.2, 51.4, 46.9, 22.2, 16.3, 14.7, 13.3, 12.1, 11.5, 
##     12, 16.1, 20.2, 23.5, 25.3, 28.9, 32.5, 36.2, 42.3, 72.4, 
##     57.5, 53.4, 37.4, 21.4, 16.5, 6.69, 4.37, -2.22, -0.82, 0.57, 
##     5.6, 31.1, 36.2, 41.3, 46.7, 54.5, 79.9, 95.5, 100, 110, 
##     111, 113, 118, 121, 125, 126, 124, 124, 121, 117, 110, 105, 
##     96.5, 93.4, 68.7, 65.1, 58.4, 48, 44.5, 40.9, 31.3, 21.7, 
##     -3.99, -6.41, -9.72, -10.9, 36.5, 45.1, 53.5, 58.7, 61, 74.2, 
##     76.4, 85.9, 90, 97.7, 106, 107, 111, 112, 113, 113, 113, 
##     113, 110, 105, 98.4, 85.2, 75.8, 72.8, 72.5, 75.1, 79.9, 
##     87, 89.2, 91.6, 97.5, 104, 109, 111, 122, 122, 122, 122, 
##     121, 120, 116, 113, 99.3, 96, 88.9, 84.8, 61, 33.9, 13, -13.3, 
##     -20.5, -20.7, -17.9, -15.9, -13.9, -2.18, 10.7, 15.7, 22.2, 
##     28.6, 36.4, 85.2, 90.4, 112, 115, 119, 124, 130, 131, 132, 
##     134, 135, 136, 140, 141, 142, 142, 142, 142, 141, 140, 109, 
##     1.91, -21, -23, -24.3, -24.3, -24.3, -24.8, -25.9, -175, 
##     -174, -171, -160, -156, -119, -110, -55.7, -40.7, -35.6, 
##     -33.4, -29.1, -27.2, -25.5, -21.2, -20.2, -18.5, -20.1, -22.1, 
##     -135, -135, -133, -130, -125, -123, -101, -25.7, -11.7, -14.2, 
##     -17.2, -25.9, -28.9, -63.4, -53.5, -50.4, -36.7, -21.4, 10.8, 
##     13.1, 12.8, 11.7, 4.53, -6.04, -18.4, -43, -49.8, -71.6, 
##     -76.2, -80.6, -82.5, -95.4, -162, -146, -142, -137, -132, 
##     -129, -121, -114, -101, -60.3, 0.58, 27.3, 40.3, 44.3, 49.5, 
##     51.1, 52.9, 61, 63.3, 64, 65, 65.4, 66.3, 66.9, 68.5, 69.8, 
##     73.1, 74.8, 75.7, 78.6, 85.1, 88.4, 90.2, 91, 97, 97.6, 101, 
##     103, 103, 104, 104, 106, 106, 106, 105, 105, 105, 105, 105, 
##     105, 105, 105, 104, 104, 104, 104, 99.6, 97.2, 97.6, 98.2, 
##     98.9, 100, 102, 102, 102, 103, 104, 105, 106, 107, 108, 110, 
##     110, 112, 118, 119, 120, 122, 124, 128, 128, 130, 134, 136, 
##     137, 148, 151, 151, 152, 148, 146, 137, 134, 132, 127, 125, 
##     123, 113, 112, 110, 109, 102, 99.6, 99, 98, 95.8, 97.1, 101, 
##     102, 105, 111, 126, 130, 132, 136, 138, 140, 145, 154, 159, 
##     167, 171, 172, 176, 180, -177, -176, -172, -170, -170, -168, 
##     -168, -168, -166, -119, -118, -118, -105, -98.2, -89.6, -83.4, 
##     -70, -63.6, -48.8, -41, -23.8, -12.2, -164, -164, -162, -160, 
##     -159, -157, -156, -156, -149, -148, -148, -147, -146, -145, 
##     -144, -142, -140, -137, -136, -134, -132, -131, -131, -128, 
##     164, 166, 168, 169, 169, 170, 171, 175, 177, -180, -128, 
##     -128, -128, -128, -128, -128, -128, -128, -128, -128, -128, 
##     -129, -129, -129, -129, -130, -130, -131, -131, -132, -132, 
##     -133, -133, -133, -133, -133, -134, -134, -142, -146, -149, 
##     -150, -159, -161, -163, -168, -173, -175, -178, 173, 168, 
##     167, 165, 156, 156, 154, 148, 145, 144, 141, 141, 143, 143, 
##     146, 146, 151, 164, 166, 168, 173, -178, -171, -169, -160, 
##     -153, -152, -151, -150, -148, -147, -147, -146, -145, -144, 
##     -144, -143, -143, -142, -142, -142, -141, -140, -139, -138, 
##     -137, -137, -131, -129, -126, -129, -130, -132, -136, -137, 
##     -138, -142, -143, -145, -148, -150, -151, -155, -157, -157, 
##     -160, -161, -164, -163, -162, -158, -138, -131, -122, -106, 
##     -82.4, -69.4, -57.3, -53.2, -47.1, -45.5, -41.1, -41.1, -41.5, 
##     -41.9, -1.12, 0.08, 3.36, 5.01, 5.75, 7.3, 8.01, 9.64, 10.8, 
##     12.8, 14.7, 14.9, 14.8, 14.7, 14.4, 13.5, 12.9, 2.17, 0.41, 
##     -4.31, -4.74, -5.67, -10.3, -13, -14.4, -15.1, -16.6, -19.5, 
##     -20.5, -21.6, -22.8, -29.2, -30.5, -32, -42.2, -65.9, -73.9, 
##     -110, -137, -154, -156, -158, -161, -162, -159, -153, -34.5, 
##     -34.2, -33.7, -33.2, -32.8, -32.4, -30.9, -29.3, -28.5, -28, 
##     -28, -28.6, -28.8, -29.1, -30.1, -30.6, -32.5, -32.9, -33.9, 
##     -37, -123, -176, -177, 179, 177, 180, -113, -109, -102, -95.9, 
##     -88.8, -78.1, -76.8, -74.1, -66.5, -63.2, -44.4, -43.5, -41.3, 
##     -41, -40.2, -39.8, -38.7, -38.5, -38.2, -38, -36.4, -33, 
##     -29.3, -28.1, -24.3, -21.8, -17.6, -16.7, -13.4, -12.5, -11.3, 
##     -9.15, -5.08, -3.79, -2.57, -1.05, 0.89, 19.8, 57.7, 97.2, 
##     117, 125, 136, 142, 146, 148, 150, 152, 154, 156, 161, -171, 
##     -164, -156, -148, -93.7, -60.1, -58.7, -54.4, -51.5, -48.7, 
##     -46.3, -41.2, -40.6, -37.2, -37, -36.6, -36.3, -34.6, -34.5, 
##     -34.3, -34.3, -35.3, -36, -48, -50.3, -55.9, -79.3, -86, 
##     -97.1, -127, -130, -132, -133, -134, -134, -123, -99.3, -89.5, 
##     -72.7, -59.4, -29, -30.7, -31.7, -32.5, -34, -34.2, -36.7, 
##     -38.3, -45.1, -47.8, -49.3, -52.5, -55.5, -72.5, -73.9, -81, 
##     -85.1, -76.7, -74.9, -73.4, -71.7, -68.8, -67.3, -66, -62, 
##     -58.1, -56.4, -51.4, -48.1, -44.4, -42.1, -37.5, -30.6, -30.5, 
##     -30.5, -30.8, -31.1, -31.3, -31.8, -32, -32.3, -32.7, -33.2, 
##     -33.2, -23.2, -21.7, -18.9, -15.2, -14.2, -13.4, -11.8, -11.2, 
##     -10.9, -10.6, -9.17, -8.84, -8.45, -8.1, -7.74, -7.48, -30.3, 
##     -27.9, -28.1, -28.2, -28.3, -28.5, -28.8, -29.1, -29, -28.9, 
##     -28.8, -28.7, -28.7, -28.7, -28.3, -27.9, -25.2, -22.9, -20.4, 
##     -17.2, -13.6, -11.8, -10.3, 90.3, 95, 95.3, 94.9, 94.7, 93.4, 
##     93.1, 92.7, 92.4, 91.9, 91.7, 91.5, 91.2, 90.4, 90.3, 90.1, 
##     90.1, 90.1, 90, 90, 90.1, 89.3, 89.1, 88.9, 88.8, 88.7, 88.6, 
##     88.5, 88.5, 88.3, 88.3, 88.6, 88.6, 88.6, 88.7, 89.3, 89.7, 
##     87.3, 87.2, 87.2, 87.1, 87.1, 87.1, 87.1, 87, 87, 87, 86.9, 
##     86.9, 86.9, 86.4, 86.3, 86.2, 86.1, 86.1, 86, 86, 85.9, 85.9, 
##     85.8, 85.8, 85.7, 85.7, 85.6, 85.6, 85.6, 85.6, 85.6, 85.6, 
##     85.5, 85.5, 85.4, 85.4, 85.4, 85.2, 85.1, 85, 85, 84.7, 84.7, 
##     84.6, 84.6, 84.6, 84.6, 84.6, 84.6, 84.6, 84.6, 84.6, 84.6, 
##     84.6, 84.5, 84.4, 84.4, 84.4, 84.9, 86.2, 86.5, 87.3, 87.3, 
##     87.3, 86.9, 86.7, 86.6, 86.4, 86.3, 86.1, 86.8, 87.1, 87.4, 
##     87.5, 87.5, 87.7, 87.3, 87.2, 87.1, 85.9, 84.3, 80, 70.7, 
##     66.9, 59.3, 52.8, 48.6, 46.5, 44.3, 39.9, 30, 23.8, 20.2, 
##     12.2, 2.18, -8.75, -38.7, 78.6, 85.5, 87.9, 91.8, 93.2, 94.7, 
##     95, 95, 95, 94.9, 94.7, 92.9, 92.1, 82.7, 80.5, 71.3, 48.8, 
##     36.7, 29.8, 25.9, -0.91, -7.16, -48.6, -53.6, -62.3, -65.2, 
##     -67.6, -63, -59.7, -54.8, -24.2, -3.41, 1.43, 9.71, 13.5, 
##     101, 101, 102, 102, 101, 100, 99.9, 99.1, 94.1, 92.7, 87.9, 
##     74.6, 69.1, 63.6, 60.8, 24.8, 10.5, -34.3, -42.8, -49.4, 
##     -52.3, -52.3, -48.5, -45.1, -21.6, -9.26, 11.5, 15.6, 20, 
##     28, 39.1, 45.3, -56, -56.3, -46.8, -33.7, -29.6, -25.2, -6.19, 
##     17.7, 22, 51.1, 56.8, 75.8, 83.6, 90.8, 93.1, 98.9, 112, 
##     112, 112, 111, 107, 104, 95.3, 88.1, 58.7, 54.7, 45.9, 41.7, 
##     32.4, 17.9, 13.2, 1.51, -39.4, -49.2, -45.5, -30.6, -17.9, 
##     1.52, 10.8, 16, 29.3, 33.1, 36.9, 40.5, 46.9, 66.1, 71.2, 
##     76.6, 87.6, 99.6, 102, 107, 109, 110, 111, 112, 114, 115, 
##     116, 116, 116, 116, 116, 116, 115, 113, 101, 98.6, 66.8, 
##     57.8, 31.7, 21, -2.38, -8.68, -29.3, -40.5, -46.6, -49, -49.1, 
##     -47.5, -45.7, -43.6, 100, 106, 108, 109, 113, 115, 116, 116, 
##     116, 116, 114, 112, 110, 109, 106, 99.2, 96.6, 84.5, 77.4, 
##     47.4, 38, 7.75, -20.6, -51.2, -49.8, -2.64, 7.28, 40.3, 44.1, 
##     54.6, 57.8, 69.3, 72, 77.4, 79.8, 82.4, 87.7, 95, 99.9, 108, 
##     115, 117, 118, 117, 117, 114, 113, 108, 101, 99.1, 90.4, 
##     67.5, 59.2, 26.4, -2.23, -14.3, -20.3, -53, -40.2, -13.4, 
##     -7.89, 7.21, 12.7, 31.4, 39, 42.1, 52.2, 72.5, 103, 104, 
##     114, 115, 115, 93.7, 88.7, 80.2, 77.3, 70.8, 63.8, 56.1, 
##     35.3, 17.8, 12.8, 2.92, -28.2, -33.3, -45.8, -50.2, -46.2, 
##     -43.3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, -165, -165, -165, -165, -165, -165, -165, 
##     -165, -165, -165, -165, -166, -166, -166, -166, -166, -166, 
##     -166, -166, -166, -166, -166, -166, -166, -166, -166, -166, 
##     -167, -167, -166, -167, -167, -167, -167, -167, -167, -167, 
##     -167, -167, -167, -167, -167, -167, -167, -167, -168, -168, 
##     -168, -168, -168, -168, -168, -168, -168, -168, -168, -168, 
##     -168, -168, -168, -168, -168, -168, -168, -168, -169, -169, 
##     -169, -169, -169, -169, -169, -169, -169, -169, -169, -169, 
##     -169, -169, -169, -169, -169, -169, -169, -170, -170, -170, 
##     -170, -170, -170, -171, -171, -171, -171, -171, -171, -171, 
##     -171, -171, -171, -171, -171, -171, -171, -171, -171, -171, 
##     -171, -171, -171, -171, -171, -171, -171, -171, -171, -171, 
##     -171, -171, -171, -172, -171, -171, -171, -171, -171, -172, 
##     -172, -172, -172, -172, -172, -172, -172, -172, -172, -172, 
##     -173, -173, -173, -173, -173, -173, -173, -173, -173, -174, 
##     -174, -174, -174, -174, -174, -174, -174, -174, -174, -174, 
##     -174, -174, -174, -175, -175, -175, -175, -175, -175, -175, 
##     -175, -175, -175, -175, -175, -176, -176, -176, -176, -176, 
##     -176, -176, -176, -176, -176, -176, -176, -176, -176, -176, 
##     -175, -175, -174, -172, -171, -171, -169, -168, -164, -161, 
##     -158, -43.3, 1.41, 6.2, 7.92, 12, 12.2, 12.9, 13.5, 12.2, 
##     12.1, 12.2, 12.5, 12.7, 12.6, 13.9, 16, 18.9, 23.6, 25.8, 
##     34.4, 36.3, 37.7, 51.6, 58.5, 87.4, 93.8, 112, 116, 133, 
##     135, 144, 145, 151, 152, 149, 132, 122, 69, 50.4, 41.5, 38, 
##     26.4, 24.2, 18.5, 16.3, 12.3, 7.75, 3.83, 2.69, 0.55, -2.13, 
##     -3.17, -7.25, -10.2, -10.1, 1.62, 3.68, 5.64, 16.2, 25.8, 
##     33.4, 43.5, -7.44, -46.8, -46.7, -38.9, -29.5, -22.4, -8.56, 
##     -5.86, 3.81, 14, 20.5, 29.7, 35, 39.7, 44.3, 55.9, 60.2, 
##     62.4, 76.8, 81.3, 82.7, 85.5, 86.6, 85.7, 82, 78.7, 68.4, 
##     62.3, 60, 34.6, 29.3, 26.8, 21, 14.2, 10.9, 2.53, -34.7, 
##     -52.1, -52, -51.2, -46.4, -44.7, -42.4, -37.1, -14.4, -7.53, 
##     0.12, 4.29, 8.43, 29, 44.6, 54.9, 62.9, 73.9, 79.8, 81.5, 
##     83.3, 86.6, 93.8, 96.2, 97, 90.9, 79.2, 76.5, 67.9, 55.7, 
##     52.3, 49, 40.4, 34.8, 22.1, 18.3, -45.7, -47.5, -48, -46.2, 
##     -34.6, -21.9, -18, -6.9, 18.8, 34.2, 38.6, 52.6, 57.5, 62.5, 
##     64.6, 66.8, 70.9, 74.6, 76.5, 80.8, 87.7, 91.4, 95.1, 103, 
##     108, 109, 109, 108, 107, 104, 71.3, 52, 48.8, 33.8, 19.6, 
##     6.53, -14.1, -19.3, -33.2, -40, -41.9, -36.6, -28, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 75.2, 72.4, 96.2, 96, 95.7, 95.2, 
##     95.1, 95.2, 95.4, 96, 96, 96.2, 96.5, 96.6, 95.5, 89.2, 88.9, 
##     88.6, 90.4, 91.1, 91.4, 91.6, 91.6, 91.6, 91.1, -31.8, -33.3, 
##     -34.7, -39.6, -39.9, -41.5, -41.8, -41.8, -41.4, -40.7, -34.6, 
##     -32.7, -6.67, -6.36, -5.93, -5.36, -2.72, -3.03, -3.09, -3.39, 
##     -4.45, -6, -7.04, -14.6, -21.5, -24.4, -29.6, -53.9, -42, 
##     -34.8, -33.1, -32.3, -31.8, -31.5, -31.3, -31.7, -32.6, -103, 
##     -97.5, -88.6, -73.7, -69.3, -61.5, -59.9, -58.3, -45.8, -39, 
##     -38.2, -36.7, -54.2, -54.7, -55.5, -56.2, -56.5, -57.2, -57.9, 
##     -58.2, -58.7, -35.1, -20.2, -17.2, -135, -135, -138, -138, 
##     -139, -140, -139, -138, -138, -134, -131, -132, -133, -134, 
##     -134, -134, -134, -134, -133, -133, -133, -133, -133, -133, 
##     -133, -133, -134, -135, -126, -126, -126, -126, -126, -126, 
##     -126, -128, -130, 119, 118, 118, 118, 118, 118, 118, 117, 
##     117, 117, 116, 116, 116, 116, 116, 116, 111, 111, 110, 110, 
##     109, 108, 107, 106, 105, 105, 103, 102, 102, 102, 101, 98.5, 
##     98.1, 97.6, 96.7, 95.8, 95.1, 94.9, 94, 93.8, 93.5, 92.9, 
##     92.5, 91.5, 90.7, 90.1, 87.6, 86.9, 85.2, 84.7, 83.2, 80.7, 
##     80.1, 79.8, 79.5, 79.3, 79, 76.5, 76.2, 75.9, 75.6, 74.5, 
##     74.2, 73.9, 73.5, 73.2, 72.9, 72.1, 71.8, 70.5, 68.1, 67.4, 
##     66.3, 60.3, 60, 59.7, 59.4, 58, 57.2, 55.6, 55.2, 52.9, 52, 
##     50.7, 50.2, 49.3, 45.9, 43.9, 42.6, 42, 41, 38.6, 38, 37.8, 
##     37.6, 37.4, 37.3, 37, 36.8, 36.5, 36.2, 29.4, 28.1, 27.4, 
##     26.7, -5.04, -11.8, -16.3, -17.2, -21.5, -23, -24.3, -25.7, 
##     -26.3, -27.5, -29.7, -30.2, -31.3, -31.6, -32.3, -32.6, -32.4, 
##     -32.1, -31.6, -32.8, -33.9, -35.7, -36.6, -38.8, -40.1, -42.5, 
##     -46.7, -50.3, -52.5, -54.4, -55, -59.2, -62.7, -63.1, -63, 
##     -63.4, -63.6, -63.8, -65.4, -66.3, -68.6, -69.5, -71.3, -71.9, 
##     -72.3, -72.6, -73.3, -73.6, -75, -75.6, -75.9, -76.9, -77.6, 
##     -77.9, -78.8, -79.9, -80.6, -81.1, -51.8, -50, -48.5, -47.2, 
##     -47, -47, -47, -47, -47, -47, -47.1, -47.5, -48, -49.4, -49.9, 
##     -50.4, -51.7, -57.5, -57.8, -58.4, -60.4, -60.9, -61, -61.1, 
##     -61.1, -61.4, -61.9, -62.5, -63.1, -63.6, -64.5, -65.1, -66.3, 
##     -66.6, -66.8, -66.8, -66.7, -67, -67.1, -67.9, -68, -68.1, 
##     -68.2, -68.6, -68.9, -69, -69.7, -71.1, -71.6, -71.8, -71.9, 
##     -72.2, -72.4, -72.5, -72.5, -72.7, -72.8, -74, -76.4, -92.2, 
##     -101, -113, -116, -116, -116, -117, -117, -117, -118, -119, 
##     -119, -118, -118, -118, -118, -118, -118, -119, -119, -119, 
##     -119, -119, -119, -119, -119, -119, -119, -119, -119, -3.16, 
##     1.93, -3.03, -4.11, -5.06, -7.4, -8.69, -13.7, -20.6, -44.7, 
##     -55.6, -59.2, -68.6, -105, -107, -113, -114, -118, -119, 
##     -116, -114, -104, -18.9, -23.3, -26.5, -40.7, -60.1, -64.1, 
##     -77, -83, -87.1, -97.1, -107, -107, -106, -105, -103, -100, 
##     -88.8, -76.5, -68.1, -66.1, -53.3, -49.1, -47.1, -26.4, -18.6, 
##     1.21, 4.12, 4.82, 4, -2.72, -10.6, -22.8, -31.5, -34.4, -39.6, 
##     -42, -54.4, -58.6, -69.3, -89.8, -91.2, -95.6, -101, -103, 
##     -99.2, -87.4, -81.1, -73.6, -43.3, -36.6, -21.4, -3.18, -0.61, 
##     1.59, 5.48, 6.81, 10.9, 3.11, -0.05, -3.64, -9.35, -13.9, 
##     -24.9, -31.1, -35.1, -36.9, -38.8, -44.1, -45.8, -49.3, -52.7, 
##     -83.2, -88.9, -95.2, -84.6, -83, -81.2, -79.6, -72.3, -50.1, 
##     -32.8, -21, -17.1, -15.1, -13.4, -8.61, -0.75, 1.61, 6.5, 
##     14.4, 13.8, 13.1, 11.2, 8.73, 7.47, 3.45, 2.2, -4.06, -5.56, 
##     -7.44, -9.45, -13.9, -27.7, -30, -34.5, -48, -49.9, -55.9, 
##     -62.1, -63.3, -66.9, -68.1, -73.2, -77.4, -84.1, -94.1, -97.6, 
##     -98, -98.2, -97.4, -96.7, -95.9, -94.9, -92.5, -91.3, -88.4, 
##     -86.8, -83.6, -72.8, -71, -63.6, -59.5, -51.6, -49.6, -47.6, 
##     -44, -40.1, -35, -28.5, -27.2, -17.8, -23.1, -56.2, -59.2, 
##     -66.4, -74.2, -82.1, -83.7, -94.2, -96, -100, -101, -94.5, 
##     -93.2, -91.5, -84.3, -80.2, -78.4, -74.5, -70.7, -68.6, -62.8, 
##     -58.9, -55, -8.74, -2.91, -1.93, -1.13, -0.56, 0.66, 0.97, 
##     1.3, 3.17, 3.99, 4.32, 5.13, 5.61, 11.4, 13.9, 15.4, 22.2, 
##     23.6, 31, 33.8, 34.5, 35.1, 34.7, 15.8, 11.7, 6.59, -9.65, 
##     -13, -21.8, -28.7, -29.6, -35.4, -33.7, -32.4, -29.9, -29.4, 
##     -28.7, -27, -26.3, -25.7, -25.5, -25.4, -25.1, -24.9, -24.6, 
##     -24.2, -23.7, -22.5, -19.7, -18.5, -17.2, -15.9, -13.1, -9.56, 
##     -8.58, -7.01, -4.53, -3.91, -4.02, -4.56, -4.45, -5.65, -5.47, 
##     -5.67, -5.92, -6.25, -9.16, 1.02, 5.01, 8.95, 10.6, 12.4, 
##     14.9, 15.7, 8.49, 5.77, 1.16, -3.82, -9.6, -80.5, -66.4, 
##     -54.3, -41.1, -38.6, -36.2, -28.4, -11.4, -3.64, 1.98, 3.76, 
##     5.07, 5.74, 5.81, 2.54, 0.5, -0.8, -4.57, -6.02, -7.79, -9.28, 
##     -51.5, -51.6, -52, -52.3, -52.8, -52.9, -53.1, -53.8, -54.9, 
##     -55.3, -55.5, -56.5, -82.8, -82.6, -82.5, -82.5, -82.5, -82.4, 
##     -81.3, -81, -80.3, -74.4, -67.4, -65.2, -63.9, -60.3, 22.7, 
##     20.7, 7.43, 4.31, 1.8, 1.39, 1, 0.19, -0.2, -0.64, -1.15, 
##     115, 115, 115, 115, 115, 115, 114, 114, 112, 112, 112, 111, 
##     111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -41.4, 
##     -35.7, -16.6, -12.3, 38.3, 78, 92.5, 107, 105, 102, 99.8, 
##     79.6, 70.1, 66.7, 42.3, 32.8, -0.86, -13.8, -42.3, -45.2, 
##     55.9, 63.4, 70.6, 72.9, 75.4, 77.9, 84.4, 90.6, 94.8, 103, 
##     104, 104, 105, 109, 109, 45.9, 47.7, 66.1, 70.2, 72.3, 74.2, 
##     77.8, 83.3, 86.7, 88.4, 92.7, 94, 94.9, 95.9, 96.8, 98.3, 
##     -15.9, -12.9, 3.59, 17.1, 23.5, 25.7, 27.4, 31.6, 33.5, 39.2, 
##     41.1, 45.2, 47.1, 71.2, 75.5, 89.5, 89.5, 89.4, 89.4, 89.3, 
##     89.1, 89.1, 88.8, 88.4, 88.4, 88.3, 88.3, 88.3, 88.3, 88.3, 
##     88.2, 88.1, 88.1, 88, 87.6, 70.8, 71, 74.3, 81.5, 82.6, 85, 
##     86.3, 87.6, 93.3, 94.7, 95.3, 95.7, 96.1, 96.2, 96.4, 96.3, 
##     46.8, 47.5, 47.7, 47.7, 51.2, 52.8, 53.8, 54.9, 58, 58.7, 
##     60.8, 61.3, 62, 63.7, 64.2, 66.9, 68.3, 68.6, 69.7, 58.8, 
##     55.7, 52.5, 49.7, 47.7, 43.6, 40.7, 38.7, 38.7, 39, 44.1, 
##     45.4, -53.8, -61.5, -69.2, -73.5, -75.4, -88.6, -104, -105, 
##     -109, -112, -112, -99.8, -90.2, -87.7, -24.8, -37.5, -49.3, 
##     -58.9, -70.2, -81.8, -85.8, -96.1, -99.2, -121, -132, -65.6, 
##     -86.6, 179, 178, 177, 176, 176, 177, 180, 62.5, 47.7, 27.9, 
##     24, 11.5, -16, 40, 43.8, 120, 127, 131, 133, 138, 143, 145, 
##     150, 140, 137, 122, 109, 100, 152, 152, 57.2, 78.4, 67.4, 
##     62.3, 57.3, 54.9, 43.3, 41.2, 36.6, 34, 29.6, 25.4, 21.3, 
##     15.9, 12.1, 9.89, -103, -107, -111, -113, -116, -117, -119, 
##     -121, -122, -123, -123, -124, -125, -126, -130, -131, -131, 
##     -134, -135, -136, -137, -138, -136, -134, -130, -128, -118, 
##     -99.3, -86.9, -26.5, -8.91, 8.06, 19.2, 22, 33.3, 38.4, 38.4, 
##     36.7, 35.4, 33, 30.1, 12.7, -28.1, -145, -146, -147, -149, 
##     -149, 20.9, 21.8, 23.2, 26.1, 26.5, 26.5, 27.6, 29.6, 30.9, 
##     39.1, 41.7, 53, 75.1, 86.8, 100, 156, 166, 171, 178, -180, 
##     -179, -178, -177, -177, -177, -176, -177, -178, 180, 167, 
##     161, 157, 152, 125, 94.4, 39.7, 26.4, 12.6, 10.7, 0.29, 1.69, 
##     5.71, 13.8, 19.4, 21.8, 32.7, 73.4, 108, 121, 130, 134, 137, 
##     140, 144, 146, 153, 130, 120, 59.4, 29.4, 11.4, 8.07, -5.62, 
##     -8.8, -21.8, -17.8, -0.88, 2.78, 6.76, 41.6, 62.2, 72.4, 
##     128, 131, 132, 135, 129, 118, 106, 82.6, 27.8, 18.4, 3.76, 
##     -6.23, -29.7, -34.2, -39.6, -32.6, -28.6, -24, -14.4, 13.7, 
##     102, 91.7, 57.6, 45.3, 28.6, 23.1, -9.57, -22, -26.1, -37.5, 
##     -43.2, -24.2, -5.9, 9.07, 13.9, 28.8, 66.2, 74.7, 94.7, 116, 
##     121, 124, 125, 128, 128, 127, 123, 114, 86.4, 76.1, 65.2, 
##     16.2, 5.06, -0.23, -28.5, -50.9, -50.2, -41.1, -29.8, -12.3, 
##     29.5, 77.3, 90.2, 96.5, 99.6, 103, 106, 122, 123, 127, 129, 
##     122, 82.7, -22.9, 118, 126, 126, 124, 120, 118, 116, 114, 
##     103, 90.1, 65.1, 53.2, 34.6, 28.5, 22.2, -28.2, -38.6, -44.2, 
##     -49.2, -54.1, -61.5, -52.2, -40, -35.7, -26, -9.74, 8.87, 
##     15.6, 27.9, 39.9, 95.4, 103, 115, 127, 127, 126, 126, 124, 
##     120, 113, 106, 79.6, 73.7, 68, 49.6, 32.6, 20.9, 0.33, -13.9, 
##     -18.4, -23.5, -32.5, -46, -47.8, -24.2, -11.2, 17.3, 25.2, 
##     37.9, 41, 61.1, 47.3, 53.4, 62.2, 65.3, 86, 99.3, 103, 106, 
##     107, 109, 110, 112, 113, 114, 114, 114, 114, 114, 111, 110, 
##     110, 110, 110, 110, 111, 113, 113, 113, 114, 114, 114, 115, 
##     115, 114, 114, 114, 114, 114, 115, 115, 115, 115, 115, 115, 
##     115, 115, 116, 116, 116, 117, 117, 117, 117, 117, 117, 117, 
##     116, 116, 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 
##     115, 114, 113, 112, 111, 110, 105, 104, 103, 96.8, 94.7, 
##     92.2, -28, -6.52, 18.8, 23.2, 32.4, 40.2, 44.2, 47.6, 54.2, 
##     64, 73.9, 98.9, 106, 112, 114, 117, 119, 120, 120, 120, 115, 
##     106, 93.7, 90, 78.2, 74.1, 64.2, 58.5, 8.37, -17.1, -42.9, 
##     -67.1, -74.7, -86, -99.6, -102, -105, -92.4, -63.8, -54.1, 
##     -48.7, -37.8, -27.2, -22.1, 17.2, 25.7, 51.6, 58.5, 64.7, 
##     101, 93.8, 65.1, 55.1, 44.3, 38.3, 15.4, -12, -17.2, -28.6, 
##     -33.7, -38.7, -43.1, -70.2, -73.8, -96.8, -99.3, -91.7, -88.6, 
##     -68.7, -25.4, -19.9, -14.2, -8.79, -3.08, 7.49, 17, 25.2, 
##     32.7, 49.6, 56.9, 64.2, 68.4, 79.6, 83.1, 94.6, 112, 114, 
##     116, 116, 118, 118, 119, 117, 112, 107, 80.3, 71.7, 51.6, 
##     6.08, -3.55, -8.82, -14.2, -51.7, -62.7, -73.4, -87.5, -98.2, 
##     -103, -105, -101, -93.2, -90.4, -87.6, -52.9, -47.5, -30.2, 
##     -6.82, 4.86, 9.89, 15.4, 20.1, 50.7, 58.7, 95.6, 111, 117, 
##     111, 108, 42.3, 36.6, 30.7, 18.3, 2.51, -2.87, -8.02, -34.7, 
##     -84.6, -88, -91.5, -104, -107, -102, -96.8, -86.4, -73.5, 
##     -4.78, 19.9, 63.8, 52.9, 47.4, 35.9, 29.9, 24.2, 13.2, 7.8, 
##     -8.15, -19.3, -24.6, -35.8, -54.8, -70.8, -85.7, -99.5, -106, 
##     -109, -110, -108, -85.4, -81.6, -59.1, 14.5, 49, 63.3, 74.2, 
##     85.7, 107, 113, 117, 118, 116, 115, 112, 94.9, 79.1, 69.9, 
##     44.5, 38.3, 8.9, 3.38, -8.36, -20.7, -33.7, -20.8, -0.02, 
##     27.9, 33.1, 44.7, 47.8, 53.6, 58.5, 62.7, 69, 72.6, 92.6, 
##     94.2, 98.3, 99.4, 104, 105, 106, 107, 108, 108, 107, 103, 
##     91.3, 88.4, 83.1, 80.4, 70.9, 56.6, 49.4, 39.4, 13.7, -41.6, 
##     1.79, 11.9, 33.6, 47.2, 50.5, 59.3, 63.5, 65.7, 67.6, 73.5, 
##     77.4, 83.3, 87.5, 89.4, 103, 104, 106, 109, 110, 109, 108, 
##     97, 57.5, 49.6, 20.5, 9.01, -10.9, -22.7, -26.5, -29.7, -31.7, 
##     -30.4, -28.5, -16.6, -7.66, -0.29, 4.13, 25, 34.9, 47.7, 
##     59.5, 66.4, 59.4, 56.3, 53.4, 44.2, 29.7, 8.79, -12.8, -25.2, 
##     -35.7, -39, -42.7, -39, -35.1, -30, -7.24, 1.04, 16.1, 35.7, 
##     43.3, 56.7, 71.4, 79.1, 98.4, 100, 105, 108, 105, -28, -24.6, 
##     -17.8, -5.2, 6.36, 10.5, 15.3, 24.2, 29.2, 42, 58.6, 74.8, 
##     78.9, 80.8, 88.6, 95.2, 96.9, 99.9, 102, 106, 106, 107, 107, 
##     108, 108, 108, 108, 109, 110, 110, 111, 111, 111, 111, 112, 
##     112, 112, 112, 112, 112, 112, 112, 113, 113, 113, 0.76, 17.5, 
##     28.5, 51.8, 58.4, 64.3, 72.9, 87.4, 93, 107, 110, 111, 110, 
##     107, 18, 43.9, 47.6, 53.9, 70.6, 80.7, 85.8, 88.6, 93.4, 
##     101, 102, 103, 101, 92.2, 86.3, 60.4, 49.2, 43.5, 36.7, -28.2, 
##     -44, -70.8, -96.2, -102, -102, 109, 103, 98.9, 91.4, 88.2, 
##     82.1, 74.7, 36.7, 32, -82.5, -84.7, -86.5, -87.1, -82.3, 
##     -75.5, -68.4, -49.9, 15.8, 22, 50.1, 58, 60.4, 65, 91.9, 
##     95.9, 99.6, 95.6, 84.8, 59.9, 44.5, 23.9, -19.7, 55.9, 60, 
##     63.8, 72.5, 76.9, 81.8, 93.3, 95.3, 100, 101, 103, 104, 99.9, 
##     96.2, 88.2, -70.3, -34.1, -27.5, -20.8, 6.37, 35.1, 38.6, 
##     44.6, 66.2, 73.4, 75.6, 85.2, 87.9, 101, 104, 106, 107, 104, 
##     102, 94.1, 61.2, 56.1, 41.7, 32.5, 27.1, 16.4, -52.6, -60.8, 
##     -68.3, -71.6, -83, -83.2, -81.2, -71.9, -68.1, -36.7, -0.89, 
##     5.59, 17.8, 42.1, 48.7, 51.8, 60.4, 68.4, 83.8, 91.1, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, -13.8, -12, 0.25, 3.68, 6.69, 13.8, 14.8, 20.7, 21.4, 
##     24.8, 31.3, 33.6, 74.9, 84.8, 87.1, 92.3, 97.3, 106, 117, 
##     120, 129, 156, 157, 158, 164, 164, 165, 165, 165, 166, 167, 
##     168, -180, -179, -175, -172, -171, -169, -128, -114, -102, 
##     -89.1, -83.7, -73.8, -69.7, -65.7, -62.1, -52.1, -36.2, -29.4, 
##     -26, -17.6, -9.58, 14.6, 25.4, 28.1, 29, 19.3, 14.8, 6.83, 
##     3.95, -3.77, -15, -16.7, -19.4, -22.3, -24.5, -39.6, -56.4, 
##     -94.2, -110, -99.8, -93.8, -87.6, -75.1, -72.1, -63.6, -60.9, 
##     -48.9, -46.8, -44.9, -43.1, -27.7, -13.8, -9.73, 2.52, 6.76, 
##     13.9, 21.5, 32.5, 36.2, 39.9, -23.5, -25.3, -27.1, -29.2, 
##     -32.4, -33.1, -36.7, -41.2, -48.8, -54.7, -56.6, -58.2, -67.4, 
##     -68.2, -68.6, -68.6, -68, 91.5, 104, 96.2, 33.1, -18.3, -19.2, 
##     -18.5, -18.6, -18.5, -18.1, -18.1, -18, -18.2, -18.5, -19.8, 
##     -21.8, -22.4, -22.7, -26.7, -28.6, -37, -40.1, -44.2, -44.7, 
##     -46, -46.4, -47.1, -47.1, -40.7, -39.6, -32.1, -30.6, -27.5, 
##     -20.3, -14.8, -5.04, -2.25, 17.9, 78.3, 121, 127, 130, 135, 
##     138, 140, 143, 122, 13.4, -8.52, -14.8, -14.7, -12.4, -10.1, 
##     -8.2, -7.67, -7.15, -50.2, -49.7, -48.7, -44.3, -39.1, -32.9, 
##     -31.5, -29.4, -19, -16.8, -4.36, -1.42, 9.14, 21.2, 45.3, 
##     81.4, 95.4, 168, -39.8, -4.81, -5.81, -6.2, -6.57, -7.18, 
##     -13.6, -15.6, -16.7, -18.5, -22, -22.3, -23.2, -23.8, -24.3, 
##     -24.6, -19.5, -15.9, -13.3, -10.2, 2.75, 9.47, 48.6, 62.9, 
##     99.6, 111, 118, 115, -8.05, -15.8, -20.7, -17.9, -16, -9.18, 
##     -8.02, -7.52, -7.3, -7.14, -7.5, -7.91, -8.37, -9.15, -11.8, 
##     -14.5, -14.9, -15.3, -15.8, -19.3, -24.8, -27.1, -28.3, -29.9, 
##     -30.3, -30.3, -28.5, -25, -23.9, -15.3, 5.56, 11.6, 16.4, 
##     21.9, 25.3, 29, 51.7, 74.9, 97.4, 110, 111, 107, 80.7, 25, 
##     11.4, -2.17, -5.8, -9.6, -10.5, -10.8, -2.76, -1.93, -1.91, 
##     -2.08, -2.97, -3.38, -3.87, -4.41, -4.92, -5.49, -6.35, -6.74, 
##     -7.32, -7.66, -10.9, -14.7, -16.1, -21.9, -23.8, -27.4, -29.6, 
##     -30.4, -31.1, -31.9, -32.6, -33.3, -37.4, -37.1, -35.6, -25.8, 
##     -4.52, -0.68, 9.14, 13.2, 40.2, 65.8, 81, 135, 141, 142, 
##     145, 147, 148, -7.69, -16.7, -18, -14, -12.5, -19.7, -6.87, 
##     -5.32, -4.11, -3.18, -3.16, -2.84, -2.79, -2.77, -2.83, -4.5, 
##     -4.62, -6.78, -12, -24.1, -26.2, -30.3, -32.6, -36.2, -40.7, 
##     -43.7, -64.7, -63, -59.1, -49.3, -37.4, -36.5, -32.3, -27.2, 
##     -25.2, -22.9, -13.5, -5.93, 11.6, 16.8, 22.4, 29.2, 37.4, 
##     46.2, 54.9, 54.9, 59.4, 58.1, 54.7, 49.6, 38.9, 18.6, 2.96, 
##     -4.58, -10, -14.2, -16.9, 34.6, 39.5, 40.2, 40.8, 41.4, 43.5, 
##     44.1, 46.3, 47.5, 48.6, 50.7, 51.4, 55.2, 56.3, 57.6, 59.1, 
##     60.5, 68, -16.4, -12.1, -11.2, -12.2, -12.6, -13.4, -13.7, 
##     -15.2, -14.6, -51.7, -54.3, -55.1, -47.9, -47, -44.5, -43.5, 
##     -43.1, -42, -41.5, -41.2, -40.7, -40.5, -40.2, -39.4, -38.4, 
##     -31.9, -24.6, -14.1, 1.16, 10.3, 12.4, 14, 16.6, 16.6, 16.1, 
##     14.7, 13.7, 11.4, 10, -0.02, -1.99, -6.46, -16.7, -105, -105, 
##     -104, -103, -92.6, -73.6, -71.1, -57.4, -52.6, -30.4, -28.3, 
##     -26.5, -20.6, -18.9, -15.3, -11.5, -4.2, -0.79, 0.79, 5.88, 
##     7.74, 9.55, 14.1, 16.1, 18.2, 17.3, 16.5, 14.3, 5.89, -6.15, 
##     -16.4, -19.3, -24.9, -42.7, -51.6, -53.2, -58.3, -60.7, -65.3, 
##     -68.8, -71, -74.3, -76.6, -79, -80.3, -82.7, -86.4, -89.2, 
##     -92.1, -97.1, -98.1, -100, -98.7, -97.6, -78, -61.2, -44.3, 
##     -40, -35.8, -26.4, -21.6, -16.6, -6.81, -5.35, -0.15, 3, 
##     7.08, 9.11, 8.39, 5.81, 1.02, -15.6, -29.2, -42.2, -43.9, 
##     -45.6, -48.8, -59.1, -62.6, -68.8, -70.4, -75.2, -81.7, -83.3, 
##     -93.8, -99.7, -102, -103, -103, -102, -99.8, -97, -90.7, 
##     -85.9, -83.2, -78, -72.6, -70.2, -67.3, 21.4, 22.7, 22.7, 
##     22.2, 20.4, 18.3, 14.2, 12.5, 11, 6.06, 4.62, 3.08, 1.64, 
##     -2.51, -9.59, -12.6, -15.7, -19.1, -26.4, -31.7, -95.9, -96.1, 
##     -96.2, -96.1, -96.1, -95.9, -96.2, -96.2, -96.2, -88.9, -46.8, 
##     -40.7, -37.9, -18.7, -14.6, -11.1, -3.08, 4.87, 16.3, 38.1, 
##     63.6, 72.4, 75.5, 75.8, 75, 74.5, 67.5, 63.5, 55.5, 35.2, 
##     31, 18.1, 0.16, -11.9, -23.9, -58.4, -64.4, -67.7, -76.4, 
##     -79.5, -102, -103, -109, -109, -99.8, -97.4, -92.2, -89.7, 
##     -87, -73.3, -57.9, -41.8, -31.7, -18.5, -15.2, 3.23, 38.7, 
##     41.1, 43.5, 52.4, 63.1, 68, 69.1, 70.3, 68.8, 66.8, 58.4, 
##     56.1, 53.9, 43.1, 33, 24.9, -5.81, -13.4, -25.8, -36.5, -39.6, 
##     -45.4, -50.6, -56.1, -62, -80.2, -85.2, -89.8, -102, -103, 
##     -108, -109, -110, -109, -109, -108, -96.6, -81.3, -61.3, 
##     -48, -27.1, -20.3, -2.83, 10.2, 13.5, 25.8, 39.4, 43.8, 47.6, 
##     49.3, 51, -55.2, -57.8, -60.1, -65.2, -80, -82.9, -92.9, 
##     -95.3, -97.8, -100, -111, -114, -112, -105, -90.8, -84, -76.6, 
##     -58, -41.8, -38.2, -30.9, -16.4, -13, -9.95, 6.27, 20, 26.9, 
##     31.3, 42.5, 44.6, 46.8, 53.4, 53.6, 53, 51.6, 50.7, 49.8, 
##     48.7, 47.6, 42.6, 40.6, 38.4, 24.9, 21.5, 10.7, 3.58, -3.18, 
##     -32.4, -46.4, -111, -109, -106, -96.2, -81.8, -27.2, -24.1, 
##     -14.4, -5.32, -2.06, 0.74, 9.49, 12.2, 17.4, 23, 25.8, 36.8, 
##     51.9, 56.2, 55.6, 54.8, 26.9, 23.4, 19.8, 8.47, 4.85, 1.08, 
##     -13.1, -16.6, -20.5, -23.7, -36.8, -45, -49.8, -54.1, -66.4, 
##     -71.1, -75.4, -77.3, -87.9, -101, -103, -111, -111, -109, 
##     -78.2, -66.4, -42.3, -36, -20.6, -13.8, 3.15, 6.67, 16.5, 
##     32.2, 36.4, 60.5, 55, 51.3, 37.3, 34.3, 28.4, 25.3, 18.5, 
##     3.99, 0.52, -6.47, -14.4, -26.7, -45.9, -49.6, -55.8, -58.3, 
##     -63.3, -83.9, -94, -95.8, -105, -107, -113, -112, -108, -101, 
##     -93.9, -85.6, -82.6, -72.9, -66.2, -59, -55.7, -52.2, -35.6, 
##     -32.5, -23, -16.6, -13.4, -9.75, -3.21, -26.4, -28.7, -31.3, 
##     -30.2, -29.7, -29.1, -28, -25.6, -22.8, -23.1, -23.5, -24, 
##     -24.9, -24.4, -22.1, -21.3, -20.4, -14.3, -14.4, -14.5, -14.8, 
##     -14.9, -17.8, -20.3, -23.4, -27.5, -29.8, -32.3, -35.1, -40.7, 
##     -43.6, -45.9, -50.1, -51.4, -52.9, -53.3, -48.4, -46.6, -43.5, 
##     -42.8, -39.4, -38.9, -37.5, -35.8, -35.4, -34.2, -32.5, -22.5, 
##     -20.2, -19.4, -19.5, -22.2, -23.6, -24.5, -25.8, -26.1, -26.6, 
##     -26.8, -26.9, -26.9, -27.1, -27.1, -27, -26.7, -25.4, -24.9, 
##     -24.4, -21.4, -20.6, -20.1, -19.3, -16.7, -77.3, -85.3, -95.6, 
##     -98.7, -102, -107, -108, -111, -113, -113, -113, -112, 59.9, 
##     57.5, 50.2, 45.2, 43.1, 40.9, 38.3, 27.9, 4.85, 1.88, -0.88, 
##     -4.02, -6.86, -13.4, -30.1, -35.9, -56.5, -59.2, -70.4, -73.8, 
##     -84.1, -85.4, -86.9, -88.2, -90.8, -93, -95, -56.7, -48.9, 
##     -46.2, -40.4, -35.1, -24.3, -14.1, -12.6, -0.22, 2.64, 3.96, 
##     5.53, 7.03, 8.37, 18.1, -19.8, -29.5, -46.6, -48.7, -64.5, 
##     -75.7, -80.5, -82, -87.2, -91.9, -103, -104, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -73.8, -82, 
##     -85.7, -93.1, -107, -107, -93.4, -86.1, -81.7, -73.1, -51.4, 
##     -38.8, -25.6, -12.4, 18.7, 29.4, 33.1, 36.9, 49.3, 53.5, 
##     57.7, 100, 115, 116, 120, 121, 121, 118, 115, 103, 91.8, 
##     87.6, 83.5, 78.6, 77, 99.3, 102, 105, 109, 115, 119, 119, 
##     119, 119, 109, 79.8, 72.1, 62.3, 33, 26.5, 6.49, -6.68, -40.7, 
##     -51.5, -73.4, -85.7, -92.5, -95, -96.8, -97.4, -89.4, -83.6, 
##     44.2, 32.2, 19.2, -18, -32.5, -43.1, -50.1, -44.4, -38.5, 
##     -28.2, -1.46, 11.8, 107, 113, 114, 116, 116, 116, 116, 115, 
##     114, 109, 106, 104, 92.3, 69.9, 60.6, -60.6, -56.4, -45.4, 
##     -26.6, -21.8, 8.75, 49.9, 68.7, 72.9, 84.6, 98.5, 108, 36.4, 
##     45.6, 50.7, 85.5, 89.7, 93.3, 101, 125, 126, 129, 132, -153, 
##     -155, -155, -155, -155, -153, -150, -134, 18.6, 12.2, 93.4, 
##     97.8, 109, 109, 98.1, 76.2, 71.9, 62, 51.6, 45.8, 35, 85.3, 
##     74.6, 51.7, 46.7, 41.7, 37.1, 27.5, 22.3, 5.14, -13.3, -37.5, 
##     -52, -67.7, -84.1, -91.1, -90.8, -86.1, -83.7, -63.3, -76.7, 
##     -86.5, -91.3, -95.1, -97.1, -96.2, -93.5, -77.4, -59.1, -54.4, 
##     -31.1, -18.9, -70.6, -65.5, -59.8, -41.9, -34.9, -3.03, 32.8, 
##     50.4, 53.5, 67.9, 77.1, 104, 67.7, 62.5, 29.1, 2, -5.47, 
##     -29.4, -77.3, -84.7, -91.2, -91.8, -85.6, -67.9, -59.3, 5.59, 
##     -2.36, -10.9, -36.6, -44, -49.9, -71.6, -76.9, -72.6, -64.6, 
##     -57.2, -53, -9.69, 113, 113, 113, 113, 113, 113, 113, 113, 
##     113, 113, 112, 107, 101, 93.8, 90.8, 87.7, 75.9, 45.1, 103, 
##     102, 88.5, 86, 83.6, 59.3, 50.1, 45, 39.4, 2.95, -11.1, -26.2, 
##     -31.8, -36, -39.8, -42.2, -43.6, -42.4, -41.4, 80.1, 82, 
##     87.7, 89.6, 97.9, 102, 104, 107, 110, 104, 100, 93.9, 73.5, 
##     -31.3, -12.1, -7.83, -3.12, 1.63, 11.7, 27.3, 48.5, 73, 77.4, 
##     91, 95.4, 110, 120, 128, 126, 125, 119, 118, 112, 89.5, 71.9, 
##     66.4, 57.9, 34, 26.6, 24.1, 20.5, 18.2, 17, 16.4, 16.3, 16.9, 
##     21.8, 29.8, 32, 34.2, 36.7, 50.3, 53, 80.3, 88.4, 91.1, 102, 
##     101, 98.2, 97.3, 96, 94.5, 92.8, 81.5, 67.1, 59.5, 55.9, 
##     52.2, 48.7, 37.5, 30.8, 20.1, 11.2, 8.31, 6.91, 4.86, 2.67, 
##     2.05, 2.06, 2.89, 3.83, 6.77, 11.8, 13.5, 20.7, 26, 39, 42.6, 
##     -17.9, -18.4, -22.3, -23.1, -23.9, -24.9, -26.5, -28.6, -29.6, 
##     -32.7, -34.6, -37.9, -38.8, -39.5, -40.5, -40.9, -42.2, -42.5, 
##     -43.2, -44, -42.6, -41.9, -56.9, -57.8, -59.9, -63.5, -64.8, 
##     -70.4, -71.7, -78.3, -79.5, -80.7, -85.7, -86.9, -88.1, -92.2, 
##     -93.1, -99.5, -101, -102, -102, -102, -101, -101, -98.7, 
##     -94.2, -93.2, -84.2, -81.3, -67.6, -64.1, -64.7, -70.5, -74.7, 
##     -88.3, -109, -111, -112, -114, -126, -132, -141, -145, -145, 
##     -146, -151, -151, -153, -154, -158, -160, -162, -163, -165, 
##     -170, -171, -173, 45.8, 49.8, 54, 62.3, 75.5, 78.6, 85.7, 
##     99, 105, 108, 110, 116, 122, 130, 131, 137, 137, 137, 136, 
##     134, 132, 131, 125, 114, 111, 92.7, 81.6, 62.9, 59.3, 55.7, 
##     46.9, 38.6, 39.5, 41.7, 47.5, 51, 55.1, 61.3, 70.4, 80.1, 
##     82.8, 92.3, 106, 110, 114, 118, 119, 121, 116, 113, 105, 
##     103, 100, 89, 75.6, 68, 45.4, 22.6, 22, 22.1, 28.3, 39.2, 
##     41.3, 43.8, 54.3, 77.4, 82.1, 90.8, 102, 103, 108, 109, 111, 
##     112, 111, 109, 107, 103, 98.1, 84.6, 61, 51.6, 44.7, 36.9, 
##     26, 81.5, 94.1, 107, 111, 54, 43.1, 37.1, 8.69, 3.25, -19.2, 
##     -38, -43.5, -48.8, -57.8, -62.1, -84.9, -97.9, -101, -105, 
##     -107, -106, -96.7, -89.4, -71, -48, -29.8, 42, 46.3, 58.2, 
##     62, 66.3, 90.1, 97.7, 112, 114, 124, 106, 95, 90.6, 81.3, 
##     71.7, 50.7, 44.5, 39, -24.6, -41.9, -78.5, -89.3, -99.3, 
##     -104, -102, -96.9, -66.1, -61.1, -44.6, -38.6, -26, -19.4, 
##     -6.89, -0.45, 36.2, 49.9, 60.9, 64.7, 68.9, 73.3, 101, 120, 
##     120, 120, 118, 110, 107, 84.9, 80, 59.8, 54, 48.5, 36.7, 
##     -6.13, -11.9, -42.1, -47.1, -86.1, -89.4, -95.7, -98.5, -105, 
##     -106, -105, -101, -92.2, -89.1, -73.1, -68.4, -22.8, -16.9, 
##     11, 20.5, 116, 116, 114, 106, 96.6, 68.7, 65.2, 116, 118, 
##     120, 120, 122, 123, 123, 123, 120, 119, 118, 116, 114, 45.3, 
##     22.7, 17.8, 2.18, 17.8, 34, 42.9, 47.1, 72.4, 80.5, 107, 
##     119, 122, 122, 121, 120, 113, 111, 104, 76.2, 53.6, 13, 5.98, 
##     8.06, 13.1, 19.5, 22.8, 30.8, 46.8, 50.2, 53.4, 59.3, 70.1, 
##     75.1, 83.1, 96.6, 115, 118, 119, 120, 120, 120, 119, 117, 
##     112, 100, 94.2, 75.3, 62, 43.6, 34.8, 30.6, 25.6, 0.3, -2.54, 
##     -2.11, -1.14, 8.7, 11.6, 18.4, 22.9, 27.5, 31.2, 40.7, 45.9, 
##     53.7, 57, 66.1, 68.9, 108, 121, 117, 95.9, 48.6, 40.5, 32.3, 
##     24.6, 11.7, 7.25, 3.2, -8.01, -7.08, 5.46, 9.28, 12.8, 21.3, 
##     122, 122, 122, 121, 118, 115, 113, 104, 74.7, 64.5, 29, 24, 
##     -5.01, -7.45, -7.8, -7.59, -3.53, 7.94, 49.7, 53.5, 57, 80.6, 
##     83.6, 86.6, 101, 120, 122, 123, 124, 125, 125, 123, 118, 
##     114, 111, 103, 99.5, 5, -9.02, -15.7, -23.6, -31.2, -46.9, 
##     -67.7, -71.6, -79, -89.8, -89.2, -88.2, -87.1, -85.7, -68.2, 
##     -37.2, -30.8, -18.1, 14.1, 19.9, 26.6, 50.2, 77.5, 80.2, 
##     92.6, 95, 103, 106, 106, 106, 106, 105, 98.5, 96.4, 93.7, 
##     87.8, 67.6, 39.8, 22.5, 4.15, -2.02, -8.31, -39.5, -44.9, 
##     -49.6, -57.7, -74.4, -78.9, -82.5, -82.7, -79.4, -75.5, -66.5, 
##     -31.9, 10.1, 17.8, 25, 37.8, 58.4, 72.2, 88.4, 91.2, 97.1, 
##     99.8, 105, 110, 120, 122, 113, 106, 93.9, 78, -34.1, -29.4, 
##     -23.9, 50.4, 63.3, 78, 83.3, 87.9, 103, 104, 106, 107, 108, 
##     108, 108, 108, 108, 108, 108, 108, 109, 110, 111, 111, 112, 
##     114, 115, 115, 115, 114, 114, 114, 114, 114, 114, 115, 115, 
##     115, 115, 114, 114, 113, 113, 113, 113, 112, 113, 113, 112, 
##     112, 112, 114, 114, 114, 113, 113, 112, 112, 113, 114, 115, 
##     115, 116, 117, 117, 116, 115, 114, 114, 114, 114, 113, 114, 
##     114, 114, 115, 115, 115, 115, 115, 116, 116, 116, 116, 116, 
##     116, 116, 116, 113, 112, 111, 108, 103, 73.4, 66.9, 65.2, 
##     55.1, 44.2, 43.5, 43.3, 48.2, 49.5, 55, 56.5, 61.1, 74.1, 
##     77.2, 79.2, 81.2, 85.1, 88.7, 100, 104, 105, 105, 102, 85.6, 
##     66.4, 59.6, 55.2, 50.4, 48.1, 40.6, 34.8, 30, 29, 28.2, 28, 
##     28.3, 29.2, 30.7, 32.3, 48.4, 61, 67.7, 87.3, 89, 36.8, 39.1, 
##     43.5, 46, 54.3, 62.7, 64.7, 76.2, 81.4, 90.3, 91.9, 83.4, 
##     63.3, 53.4, 50.9, 43.1, 35.4, 24.9, 22.6, 21.6, 31.5, 35.7, 
##     37.9, 44.9, 46.9, 55.6, 62.8, 76.5, 94.5, 95.6, 96.9, 97.5, 
##     92.7, 88.3, 67.9, 61.8, 55.8, 53.1, 22.4, 20.8, 18.3, 17.3, 
##     15.6, 15.6, 18.2, 23.5, 49.5, 54.8, 57.4, 66, 82, 84.9, 95.5, 
##     103, 82.8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, -10, -11.5, -19.9, -21, -23, -24.8, 
##     -25.5, -26.8, -29.7, -30.9, -32.9, -35.2, -37.7, -40.4, -42.2, 
##     -40.4, -13.6, -13.9, -14.5, -14.6, -15.1, -17.1, -17.7, -18, 
##     -19.7, -21.4, -22.9, -23.3, -23.8, -24.9, -26, -26.5, 134, 
##     137, 143, 153, 154, 158, 160, 161, 166, -21.2, -19.7, -16.3, 
##     -14, -13.1, -12.9, -12.9, -13.2, -14.2, -17.3, -18.8, -22.6, 
##     -25.4, -29.4, -27.3, -25.5, -25.2, -26.1, -26.9, -27.6, -29.5, 
##     -32, -33.3, -34.8, -38.7, -39.7, -39.9, -41.6, -41.9, -42.9, 
##     -43, -41.5, -40.8, -37.4, -28.7, -29.1, -31.3, -47.9, -54.8, 
##     -61.5, -74, -77.8, -82.9, -83.4, -84.8, -84.5, -84.9, -88.1, 
##     -94.8, -94.3, -90.9, -86.8, -85.1, -81.2, -68.3, -60.4, -50.8, 
##     -45, -41.4, -35.4, -32.3, -29.2, -28.1, -24.7, -24.3, -23.4, 
##     -23.1, -23, -22.7, -23.3, -38.9, -39.9, -40.9, -41.9, -44.7, 
##     -46.8, -48.9, -50, -50.9, -53.3, -55.4, -56.8, -58.4, -61.1, 
##     -61.7, -62.2, -62.6, -63, -64, -69.2, -71.8, -74.8, -76.7, 
##     -77.2, -77.6, -78.1, -68.4, -64.8, -49.1, -47.9, -41.4, -39.9, 
##     -37.2, -33.2, -30.4, -23.4, -17.4, -13.4, -12.4, -12.1, -11, 
##     -11.6, -17.3, -18.7, -24.9, -26.5, -74.1, -75.5, -75.9, -75.9, 
##     -75.6, -75.1, -72.8, -71.7, -71, -64.7, -61.5, -58.2, -55.8, 
##     -43.2, -40.1, -37, -34.1, -31.4, -30.2, -25.8, -25.3, -22.5, 
##     -23.3, -24.5, -27.4, -31.3, -34.2, -37.1, -47, -52.7, -56.5, 
##     -65.7, -66.6, -69.3, -70.2, -72.1, -74.3, -76.3, -78.3, -81.7, 
##     -83.9, -84.2, -84.5, -84.7, -80.5, -77, -73.4, -71.1, -69.8, 
##     -68.7, -66.4, -64.1, -62.9, -60.6, -59.3, -50.9, -49.4, -33.4, 
##     -30.7, -30.1, -29.7, -29.3, -29.2, -29.2, -29.2, -30.4, -33.3, 
##     -34.6, -39, -41.9, -46.2, -51.1, -52.7, -57.2, -66.8, -69, 
##     -70, -72.6, -74.1, -74.8, -75.5, -77.7, -80.1, -82.9, -83.8, 
##     -82.3, -81.3, -80.1, -77.8, -76.7, -68.6, -64.8, -45.4, -37.3, 
##     -35.7, -33, -30.5, -29.6, -71.7, -73.6, -80.5, -82, -82.6, 
##     -84.9, -85.2, -85.4, -83.3, -82.4, -81.5, -79.4, -76, -72.5, 
##     -68.8, -66.4, -62.7, -58.7, -55.5, -52.3, -50.8, -46.3, -34.9, 
##     -33.4, -31.9, -28.3, -25.8, -25.5, -25.1, -24.8, -24.3, -23.9, 
##     -23.2, -23.4, -43.5, -48.7, -73.5, -75.3, -82.2, -83.2, -85.7, 
##     -88.7, -88.8, -89.3, -87.5, -79.6, -72, -65.9, -64.4, -62.9, 
##     -56.4, -53.1, -49.7, -40.3, -37.7, -35.2, -33.2, -31.4, -31, 
##     -30.3, -28.3, -32.7, -38.5, -60.6, -62.3, -66.6, -74.5, -75.8, 
##     -80.5, -81.7, -84.2, -88.7, -92.6, -93.2, -93.7, -90.9, -87.9, 
##     -80.5, -71.5, -67.5, -51, -45, -31.3, -29.1, -29.1, -29, 
##     -29.1, -29.2, -29.4, -30.3, -31.7, -33.8, -36.1, -39.1, -43.9, 
##     -50, -51.8, -55.2, -56.7, -58.4, -59.9, -62.6, -71.7, -79.8, 
##     -27.6, -27.1, -27.4, -29, -33.4, -34.9, -44.5, -51.1, -52.3, 
##     -59.7, -60.9, -65.7, -66.8, -67.9, -68.8, -28, -33.3, -35, 
##     -42.4, -49.5, -50.5, -57.2, -60.7, -67.5, -69.3, -94.1, -94.8, 
##     -95.5, -97, -101, -104, -106, -106, -106, -105, -103, -102, 
##     -99.4, -97.4, -28.2, -28.3, -28.5, -28.4, -26.3, -25.6, -18, 
##     -16.3, -11.1, -6.52, 41.5, 112, 122, 131, 13.9, -13.8, -12.7, 
##     -12.6, -11, -10.7, -10.2, -11.4, -31.7, -30.7, -27.9, -27.4, 
##     -26.2, -25.5, -11.9, -8.95, -5.91, 11, 22.8, 39.8, 10.4, 
##     23.7, 43.6, 45.2, 49.3, 51.3, 52.7, 50.8, -77, -78.8, -80.6, 
##     -107, -111, -113, -112, -111, -106, -104, -98.9, -96.2, -89.8, 
##     -72.7, -59, -31.8, 8.96, 12, 15.5, 32.6, 37.4, 43.9, 54, 
##     55.9, 57, 56.9, 56, 52.8, 51.7, 40.2, 37.4, 28.2, 24.7, 21.3, 
##     13.9, 10.2, -0.67, -12.2, -24.7, -28.9, -32.7, -51, -53.3, 
##     -78.6, -86.6, -90.6, -96.9, -98.9, -102, -106, -110, -106, 
##     -99.6, -89.6, -86.9, -70.1, -41.9, -33.9, -30.2, -25.9, -22.2, 
##     -18, -6.73, -3.03, 8.18, 15.3, 18.7, 44.4, 46.4, 53.8, 56, 
##     56.5, 55.9, 55.1, 54.1, 51.7, 47.1, 28.9, 17.9, 10.4, 6.59, 
##     -12.1, -19.4, -42.5, -51.3, -55.5, -67.2, -69.6, -76.3, -78.5, 
##     -82.7, -87.4, -92.4, -95, -104, -114, -114, -112, -111, -107, 
##     -105, -98.8, -83.9, -80.7, 59.9, 59.7, 57.8, 57.1, 56.3, 
##     55.4, 53.1, 50.2, 48.7, 43, 36.4, 33.9, 31.4, 20, -8.75, 
##     -113, -109, -109, -107, -106, -103, -99.6, -93.8, -83.1, 
##     -72.2, -69.7, -61.1, -58.6, -55.9, -45.5, -43.3, -40.9, -38.7, 
##     -34.5, -27.4, -21.1, -18.6, -15.7, -15.7, -16.8, -23.2, -27.4, 
##     -33.8, -35.6, -47.6, -52.6, -54.1, -57.4, -59, -67.5, -85.8, 
##     -100, -101, -103, -102, -98.6, -93.8, -90, -85.6, -67, -57.2, 
##     -45.2, -43.1, -39.2, -37.6, -36.1, -33.4, -28.2, -24.3, -23.2, 
##     -18.5, -18, -17.2, -17.6, -18.6, -20, -20.8, -21.7, -25.8, 
##     -28.5, -29.9, -40.4, -45.1, -46.1, -53.9, -56.3, -70.1, -73.6, 
##     -75.3, -78.4, -86.2, -90, -102, -103, -96.7, -92.9, -80.9, 
##     -68.1, -59.5, -42.4, -38.8, -37.1, -47.6, -49.1, -52.2, -53.7, 
##     -73.3, -75, -85.4, -88.8, -107, -105, -101, -9.38, -9.94, 
##     -20.6, -22.4, -29.8, -33.9, -41.7, -43.5, -48.4, -49.9, -51.5, 
##     -54.6, -56.3, -64.1, -73.3, -75, -83.5, -100, -102, -102, 
##     -102, -102, -99.1, -87.2, -75.7, -61.3, -54.3, -47.7, -42.1, 
##     -40.4, -35.6, -34.3, -30.1, -22.1, -18.2, -95, -80.3, -70.5, 
##     -68, -60.8, -58.5, -40.4, -36.1, -27.3, -25.5, -21.9, -14.7, 
##     -33.9, -29.2, -25.9, -18.5, -16.8, -17.4, -19.1, -20.3, -21, 
##     -21.9, -24.7, -27, -34.1, -35.5, -37.1, -38.6, -41.6, -46.2, 
##     -48.2, -51, -53.8, -77.7, -80.2, -85.1, -101, -109, -113, 
##     -62.7, -59, -47.5, -31.8, -15.8, -11.7, -7.61, 8.72, 12.9, 
##     26.1, 37.1, 50, 54.2, 55.4, 28.9, 23.9, 15.6, 7.27, -16.1, 
##     -19.7, -23.6, -37.6, -45.1, -53.3, -61.6, -73.4, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 57.9, 67.7, 70.5, 76.9, 80, 82.7, 85.5, 91.5, 94.2, 105, 
##     108, 117, 118, 120, 26, 11.3, 44.1, 60.8, 63.6, 69.4, 72.2, 
##     85.9, 100, 103, 107, 109, 24.7, 41.6, 48.7, 52.7, 56.2, 75.5, 
##     90.1, 93.1, 95.7, 104, 111, 113, 113, 115, 115, 115, 115, 
##     115, 115, 116, 167, 167, 165, 161, 149, 143, 132, 113, 94.2, 
##     38.7, 38.4, 38.8, 39.6, -177, -180, 177, 161, 140, 108, 72.5, 
##     71.6, 74.6, 87.6, 118, 147, 152, 162, 163, 164, 165, -40.4, 
##     -39.7, -39.3, -38.7, -37.6, -36.8, -36.3, -37.8, -38.7, -45.3, 
##     -48.2, -53.4, -8.45, -9.08, -10.2, -10.9, -11.6, -12, -12, 
##     -12.2, -13.1, -13.6, -13.7, -13.9, -13.6, -13.7, 92.9, 96.8, 
##     100, 99.6, 98.9, 85, 68, 5.8, 2.58, -1.87, -2.85, -5.99, 
##     93.2, 94.8, 76.3, 68.9, 66.4, 64, 59.3, 55, 52.8, 50.8, 48.7, 
##     46.6, 42.3, 40, 35.6, 33.5, 21, 19.5, 18.2, 15.6, 16.2, 22.7, 
##     52.4, 30.8, -35.4, -40.9, -45.6, -50.1, -61.1, -67.1, -73.8, 
##     -77.1, -44, 68.4, 67.3, 58, 56.3, 51.4, 46.2, 23.7, 20.9, 
##     17.3, 12.6, -56.9, -55.9, -43.5, -20.7, -17.3, -7.81, -4.47, 
##     23.5, 33.2, 56.2, 65.2, 68.8, 70.2, 70.5, 67.7, 65.4, 51.6, 
##     41.7, 36.7, 27.4, 16.4, 11.9, 5.97, -9.6, -29.9, -58, -51.8, 
##     -44.2, -39.3, -33.8, 13, 6.63, -14.5, -21.5, -35.4, -54.6, 
##     -54.1, -31.7, 17, 32.4, 35.4, 41.5, 50.4, 57.2, 61.6, 62.6, 
##     62.8, 62.4, 57.2, 55.8, 52.2, 50, 45.9, 37.2, 34.6, 24.9, 
##     20.7, 15.4, 10, -15.9, -58.1, -51.7, -47.3, -37, -24.2, -4.58, 
##     7.03, 27.8, 39.7, 42.6, 51.3, 59.4, 60.5, 62.7, 14.7, 16.6, 
##     21.3, 23.3, 27.3, 29.4, 40.5, 42.7, 46.9, 49.1, 53.4, 62.5, 
##     71.2, 73.1, 75.1, 83.6, 103, 102, 98.6, 97.9, 94, 92.3, 91.4, 
##     77.8, 76.1, 66.4, 64.1, 61.8, 59.2, 48.8, 42.2, 38.2, 37.3, 
##     35.6, 35.2, 35.4, 32.3, 30.2, 33.4, 38.4, 39.4, 40.4, 40.8, 
##     40.9, 41, 41.1, 41.2, 41, 40.1, 39.6, 38.9, 38.2, 28.7, 26.9, 
##     24.7, 22.6, 17.7, 14.9, -7.03, -22.1, 2.98, 9.41, 17.9, 25.7, 
##     28, 40.1, 45.3, 48.7, 51.8, 52.2, 51.5, 50.2, 17.3, 13.4, 
##     1.99, -1.72, -5.19, -21.6, -30.1, -31.1, -22.4, -17.5, -14.9, 
##     -9.36, -6.65, 47.7, 34.6, 32, 29.4, 26.4, 20.1, 6.38, -11.9, 
##     -25.2, -32.8, -34.7, -36.4, -33.4, -27.1, -18.8, -16.8, -12.2, 
##     0.57, 6.41, 9.49, 21.9, 34.9, 59.4, 63.6, 69.6, 69.8, 69.8, 
##     63.7, 61.6, 35.1, 26.4, 22, -17.7, -19.6, -23.4, -26.4, -28.5, 
##     -29.2, -29.6, -29.5, -29, -25, -15.9, -9.47, -6.92, -30.5, 
##     -28.3, -25.9, -24, -23.5, -23.1, -22.5, -22.1, -19.8, -19.4, 
##     -19.1, -18.9, -17.8, -17.3, -16.4, -17.6, -18.4, -19.1, -26.2, 
##     -26.5, -26.9, -28, -28.6, -28.3, -28, -27.6, -27.2, -26.6, 
##     -26.1, -24.3, -21.3, -20.2, -19.9, -19.4, -19.5, -19.7, -20, 
##     -32.6, -32.5, -31.8, -31.5, -30.9, -30.5, -17.1, -12.4, -12.3, 
##     -12.9, -13.4, -15.4, -15.9, -19.3, -21.5, -22.3, -26.8, -28.5, 
##     -29.9, -30.8, -31.5, -34.7, -35.4, -35.7, -35, -34.7, -34.5, 
##     -33.7, -32.8, -32.5, -31.7, -27.3, -20.2, -19.1, -17.8, -16.4, 
##     -15, -7.94, -10.6, -13.4, -22.8, -23.9, -24.7, -25.8, -28.6, 
##     -30.8, -32.7, -32.4, -32, -31.6, -30.7, -29.7, -28.5, -27.7, 
##     -13.7, -11.7, 0.82, -2.6, -8.13, -12.4, -27.4, -29.2, -34.7, 
##     -34.5, -19.9, -20.8, -21.4, -23.8, -31.9, -40.1, -43, -46, 
##     -49.2, -53, -58.5, -65.8, -43.1, -34.9, -33.5, -27.8, -24.8, 
##     -21.8, -20.4, -19.6, -17.5, -14.8, -22.8, -25, -26.9, -29.3, 
##     -31.6, -36.4, -39, -50.9, -60.7, -75.3, -77.7, -82.4, -84.4, 
##     -86.5, -90.7, -91.3, -89.7, -86.6, -66.9, -57.8, -40.2, -34.3, 
##     -31.6, -29.3, -27.6, -22, -16, -11.9, -9.73, -7.78, 1.82, 
##     14.6, 16.5, 24.3, 23.5, 21.2, 19.1, 10.3, 6.3, 4.41, 2.24, 
##     -13.6, -33.2, -37.2, -38.1, -44, -47.8, -51.4, -52.6, -54.9, 
##     -56.3, -52.9, -51.6, -48.9, -47.3, -45.8, -42.3, -40.5, -38.7, 
##     -32.5, -25.9, -9.17, -6.92, 1.94, 4.43, 17.9, 20, 30, 30.4, 
##     26.1, 24.9, 17.8, 15.8, 9.41, -24.5, -27, -36.2, -37.7, -39.1, 
##     -41.6, -51.8, -52.3, -52.7, -53, -53.2, -50.6, -48.6, -45.1, 
##     -35.3, -31.5, -22.7, -15, 6.52, 10.2, 12, 13.6, 15.4, 17.1, 
##     23.6, 24.9, 26.4, 29.5, 19.4, 6.82, 4.53, -0.17, -30.5, -32.5, 
##     -40.3, -46.7, -57.6, -59.6, -59.7, -57.1, -56.2, -54.3, -47.1, 
##     -36.8, -30, -23.4, -21.4, -17, 3.44, -10.4, -12.9, -25.5, 
##     -30.4, -40.5, -43.4, -44.7, -51.7, -55.5, -59.7, -60.2, -60.8, 
##     -57.7, -53.8, -50.9, -49.2, -28.4, -26.2, -6.46, -4.48, -2.47, 
##     5.82, 12.2, 18.4, 21.9, 27.9, 28.6, 29, 29.1, 28.3, 27, 25.2, 
##     18.2, 4.54, -0.19, -7.88, -10.5, -26.6, -33.3, -38.7, -49.8, 
##     85.2, 71.8, 37.9, 23.8, -0.69, -7.17, -4.15, 10.8, 18.6, 
##     50.7, 68.6, 71.7, 90.1, 95.9, 98.5, 104, 114, 120, 124, 123, 
##     122, 119, 112, 110, 98.6, 88.5, 44.8, 33.4, 24.9, 5.42, 2.46, 
##     1.84, 2, 3.08, 11.5, 32.3, 44.7, 49.1, 52.7, 77.2, 80, 85.4, 
##     91.2, 104, 114, 120, 123, 125, 125, 122, 119, 117, 115, 112, 
##     107, 95, 61.9, 53.7, 92.6, 99.1, 107, 115, 117, 120, 123, 
##     123, 123, 123, 122, 119, 113, 110, 97.2, 91.7, 82.4, 79.2, 
##     75.6, 68.5, 64.8, 56.6, 26, -16.3, -22.4, -38.2, -50.9, -16.4, 
##     -10.3, 18.7, 40.6, 45.8, 50.7, 55.1, 69.1, 83.5, 94.1, 111, 
##     134, 138, 132, 127, 124, 121, 117, 105, 101, 81.1, 64, 52.1, 
##     39.7, 33.8, 27, 21.3, -28.2, -40, -49.2, -55.1, -54.7, -17.4, 
##     -6.13, 35.5, 40.2, 61.3, 89.3, 93.6, 119, 131, 134, 135, 
##     132, 127, 124, 94.2, 89.4, 78.5, 61.5, 55.7, 36.6, 30, -10.8, 
##     -22.6, -54.2, -39.9, -35.1, -6.67, 33.8, 38.9, 71.4, 76.1, 
##     87.9, 96.5, 106, 129, 133, 136, 129, 108, 104, 73, 48.1, 
##     34.8, 21.3, 2.43, -49.3, -60.5, -66.5, -65, -54.1, -41.3, 
##     4.4, 10.3, 22, 67.1, 81.3, 97.4, 102, 113, 122, 127, 132, 
##     139, 138, 121, 94.2, 82.9, 70.7, 64.5, 37, 30.3, 9.54, -9.39, 
##     -15.4, -33.9, -43.6, -47.5, -51.5, -55.1, -61.2, -59.2, -56.4, 
##     -53.2, -26.1, -20.5, -8.29, -2.5, 15.4, 26, 31.2, 67.3, 71.6, 
##     80.3, 100, 118, 129, 130, 132, 135, 135, 131, 129, 127, 125, 
##     120, 111, 103, 99.2, 80.8, 70.8, 54.3, 29.5, 23, -2.08, -8.91, 
##     -22.5, -58.6, -58.7, -57.7, -55.7, -53, -49.9, -38.5, -28.8, 
##     -12.7, 9.53, 26, 31, 45.3, 50.3, 80.8, 94, 117, 129, 136, 
##     136, 130, -47.4, -23.1, -17.9, 20.4, 41.8, 47.2, 51.6, 61.1, 
##     78.7, 87.9, 97.6, 64, 54.4, 44.8, 8.52, 20.7, 36.9, 41, 69.7, 
##     75.3, 82.9, 89.9, 96.5, 106, 106, 102, 100, 95.8, 93.8, 84.4, 
##     79.6, 76.8, 56.9, 51.4, 48.9, 42, 39.7, 34.6, 32.2, 29.6, 
##     16.8, 14.2, 11.7, 9.16, 5.13, 7.15, 17.9, 43.1, 46.9, 69.9, 
##     76.9, 79.5, 81.8, 84.6, 91.7, 94, 102, 105, 107, 104, 102, 
##     98.6, 90.1, 88, 85.8, 83.2, 72.7, 63.2, 24.3, 16.4, 8.35, 
##     7.61, 8.31, 10.2, 20.9, 40.7, 60.2, 62.8, 65.4, 70.2, 74.8, 
##     78.9, 81, 83, 103, 105, 106, 103, 98.2, 76.6, 61.2, 58.1, 
##     55, 45.3, 38.1, 34.4, 27.1, 20.3, 9.85, 9.15, 18.9, 27.4, 
##     31.4, 36, 44.5, 60.4, 63.7, 66.3, 79.2, 88.9, 98.5, 103, 
##     111, 114, 114, 113, 112, 95.1, 77.2, 72.9, 68.9, 60.3, 44.9, 
##     38.1, 34.7, 24.3, 20.7, 13.6, 9.66, -1.47, 56.8, 61, 81.4, 
##     96.4, 117, 117, 117, 118, 118, 118, 118, 118, 118, 118, 118, 
##     118, 118, 118, 119, 118, 117, 117, 116, 115, 114, 113, 110, 
##     102, 91.8, 86.8, 81.1, 64.9, 61.7, 30.3, 38.7, 42.5, 57.4, 
##     59.3, 61.2, 62.7, 64.3, 66.7, 68.6, 68.1, 67.6, 63.7, 49.2, 
##     26.6, 13.7, -3.07, -44.4, -46.9, -39, -30.1, -18.6, -4.04, 
##     3.09, 8.06, 35.8, 38.9, 56.6, 68.1, 71.1, 70.8, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80.4, -81.2, -82.9, 
##     -85.1, -86, -86, -86, -85.9, -85.1, -80.1, -72.2, -73.5, 
##     -76.3, -85.3, -91.2, -92, -92.9, -93.3, -94.3, -96.1, -93.1, 
##     -90.6, -89.1, -85.8, -22.2, -21.3, -21, -20.7, -19.6, -19, 
##     -18.7, -19.1, -19.8, -21.5, -23.3, -28.9, -30.7, -32.3, -44.6, 
##     -46.2, -64.7, -72.6, -75.3, -77.6, -78.6, -79.7, -87.3, -88.3, 
##     -93.5, -73.6, -72.2, -69.6, -67, -65.8, -64.6, -61.7, -52.4, 
##     -50.9, -50.6, -49.5, -48.7, -48.4, -37.5, -32.2, -30.9, -29.5, 
##     -28.1, -24.9, -23, -20.8, -9.76, 6.25, 11.1, 31, 36.4, 28.3, 
##     -27.4, -26.2, -25.8, -25, -24, -22.6, -18.2, -17.1, -7.5, 
##     -0.66, 19.8, 24.8, 29.2, 42.6, 44.5, 46.3, 46.2, 37.2, 26.9, 
##     20.3, 16.9, -2.81, -4.71, -7.1, -16, -20.5, -28.9, -30, -31.1, 
##     0.09, 3.71, 18.3, 21.2, 27.5, 27.9, 27.2, 25.3, 21.4, 16.2, 
##     7.5, 2.29, -3.5, -6.88, -8.09, -9.34, -12.6, -24.4, -34.6, 
##     -37.1, -38.8, -40, -41.2, -41.4, -41.5, -35.6, -33.7, -32.8, 
##     -31.8, -30.8, -29.6, -26.1, 4.57, 10.9, 20.8, 24.9, 24.7, 
##     20.5, 18.8, 6.03, 1.5, -23.1, -33.1, -34.1, -37.8, -42.6, 
##     -47.2, -47.6, -48.4, -49.5, -48.5, -46.9, -43.5, -42.1, -39.5, 
##     -33.8, -12.9, -5.27, -1.9, 9.52, 12.7, 22.8, 21.5, 19.4, 
##     16.2, 9.93, 2.51, -1.3, -2.98, -33.7, -41.6, -42.7, -43.9, 
##     -44.1, -44.6, -45, -45.1, -44.4, -43.9, -43.4, -41.1, -38.9, 
##     -37.3, -28.2, -41.5, -46.1, -27.4, -18.4, 4.32, 10.3, 27.1, 
##     31.5, 34.6, 37.1, 39.1, 42.9, 42.3, 38.1, 32.5, 12.8, 10.2, 
##     7.07, 1.85, -35.7, -39.4, -40.5, -40.7, -42, -40.6, -38.3, 
##     -35.5, -26.7, -20.4, -12.5, 15.1, -0.18, -5, -8.19, -10.2, 
##     -16, -17.1, -24, -25.7, -25.9, -26.7, -26.9, -27, -46.2, 
##     -45.7, -44.8, -43.9, -43.5, -43.1, -40.4, -39.8, -39.6, -39.7, 
##     -39.9, -40, -40.3, -40.7, -40.8, -40.9, -41.1, -40.9, -94.5, 
##     -94.2, -94, -94.6, -95.8, -96, -95.3, -92.9, -90.6, -89.1, 
##     -84.5, -76.3, -73.5, -71.4, -62.3, -46.4, -44.8, -42.2, -39.5, 
##     -28.1, -26.9, -27.9, -27.5, -27.6, -28.3, -29.2, -29.9, -31.9, 
##     -37.3, -38.9, -45.1, -48.2, -57, -58.3, -59.8, -61.2, -62.7, 
##     -69.3, -64.3, -59.2, -53.9, -51.5, -48.1, -46.9, -45.7, -34.5, 
##     -31.4, -30.8, -11.6, -6.82, -5.61, -5.89, -22.7, -27.4, -29.8, 
##     -49.9, -55.8, -70.1, -76.5, -85.5, -90.1, -94.4, -98.5, -17.6, 
##     -17, -16.5, -15.9, -16.3, -16.7, -17.2, -18.3, -19, -24.7, 
##     -26, -28.9, -30.6, -35.1, -36.6, -41.1, -56.3, -57.6, -70.1, 
##     -71.7, -77.3, -81.7, -96.4, -97.8, -99, -101, -100, -98.1, 
##     -96.8, -95.2, -89.8, -85.5, -83.3, -71, -61.9, -53.5, -49.5, 
##     -45.6, -43.4, -41.6, -39.7, -36.2, -27.7, -26.2, -21.5, -16.5, 
##     -11.8, -11.2, -10.7, -10.4, -10.8, -12.5, -13.2, -16, -18.5, 
##     -27.2, -36.1, -38.1, -42.1, -45.5, -47.3, -48.9, -50.5, -52.2, 
##     -57.1, -62.3, -64, -76.4, -78.1, -54.8, -50.2, -48, -43.9, 
##     -36.8, -35.2, -30.9, -24.1, -22.9, -21.8, -20.7, -19.1, -18, 
##     -17.9, -18.2, -18.7, -21, -22.5, -26.3, -27.6, -41.2, -42.8, 
##     -97.7, -86.3, -76.6, -71.8, -66.8, -64.3, -59.8, -50.8, -46.5, 
##     -44.6, -42.8, -36.2, -30.5, -29.3, -23.1, -22.5, -21.4, -20.4, 
##     -20, -19.4, -12.8, 5.04, 12.6, 16.4, 23.9, 25.7, 28.8, 31.2, 
##     25.8, 16.2, 14.1, 12.1, 7.49, -9.96, -7.78, -0.94, 5.92, 
##     8.29, 10.6, 12.5, 14.6, 20.7, 21.9, 22.8, 24.2, 22.9, 21.9, 
##     20.9, 19.6, 15.2, 13.6, 7.97, -4.1, -8.36, -21.3, -23.3, 
##     -45.8, -47.1, -51.2, -51.4, -49, -30.4, -69.2, -74, -75.7, 
##     -78.6, -85, -96.9, -103, -104, -104, -101, -99.8, -95, -89.2, 
##     -86.9, -79.6, -71.8, -69.3, -64.5, -57.6, -46.9, -49.3, -52.6, 
##     -54.2, -61.3, -63.3, -67, -77.2, -79.6, -101, -82.7, -90.1, 
##     -91, -92.4, -93.1, -96.1, -96.1, -92.1, -89.3, -84.2, -75.1, 
##     -73.2, -71.3, -63.5, -59.1, -56.9, -99.6, -99.7, -99.7, -99.4, 
##     -98.1, -93.5, -91.9, -86.1, -81.8, -77.2, -70.2, -67.4, -51.3, 
##     -39.5, -35.5, -33.8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 106, 93.7, 89.7, 84.8, 2.72, -4.74, -50.5, -52.9, -54.8, 
##     -12.4, 5.64, 14.2, 67.2, 81.8, 85.6, 89.7, 107, 111, 116, 
##     125, 129, 130, 132, 132, 131, 130, 122, 113, 67.2, 47.5, 
##     38.8, 30.6, 11.4, 7.7, 4.74, 1.3, 3.7, 5.62, 8.18, 13.6, 
##     27.9, 48.8, 56.4, 62.4, 65.6, 73, 90.1, 104, 108, 112, 117, 
##     121, 123, 121, 120, 119, 114, 105, 102, 99.7, 91.2, 78.1, 
##     39.2, 26.5, 19.6, 13, 4.59, 10.5, 21, 45.1, 59.4, 64.2, 73.6, 
##     76.2, 78.5, 80.9, -20.7, -20.6, -19.5, -19.4, -21.1, -22, 
##     -22.8, -26.1, -28, -30.3, -32.3, -33, -33, -32.9, 1.67, 30.1, 
##     39.7, 53, 43.7, 32.8, 26.5, 11.9, 2.11, -6.05, -8.21, -12.3, 
##     -14.3, -22.8, 23.2, 26.4, 29.4, 39.7, 46.3, 47.3, 47.6, 16.2, 
##     -14.5, -18.9, -23.2, -27, -34.2, -32.1, -27.2, -21.1, -10.3, 
##     -3.05, 0.61, 4.34, 8.03, 31.1, -10.3, -6.05, 8.67, 13.8, 
##     18.7, 27.5, 31.4, 34.9, 46.1, 49, 52.9, 58.1, 62.3, 65.7, 
##     60.9, 31, 26.7, 58.8, 52.4, 45.4, 38.2, 34.2, 26.9, 4.7, 
##     -10.8, -26.9, -41.4, -32.3, -13.8, -1.59, 19.5, 25, -38.1, 
##     -31.7, -18.5, 7.99, 41.7, 48.3, 52.3, 54.6, 78.6, 80.7, 91.6, 
##     93.6, 94.2, 94.4, 93, 91.3, 90.1, 90, 90.2, 90.3, 91.9, 90.9, 
##     90.4, 91.2, 91.7, 0, 67.3, 61.1, 57.4, 53.6, 44.7, 22.5, 
##     -11.4, -35.9, -54.2, -61.8, -65.4, -69.1, -72.4, -79, -82.2, 
##     -93.1, -95.7, -100, -102, -111, -112, -114, -105, -68.4, 
##     -56.6, -43.2, -19.4, -4.35, 6, 34.8, 43.2, 56.4, 58.8, 62.9, 
##     66.4, 64.3, 55.6, 50.4, 44.2, 23.3, 13.8, -18.2, -23.9, -39.9, 
##     -49.3, -52.8, -56.6, -69.1, -71.8, -77.8, -83.5, -96.4, -104, 
##     -107, -108, -110, -108, -105, -99.8, -93.4, -90.8, -50.6, 
##     -27.8, 19.6, 34.5, 45.7, 50.5, 68.5, 73.7, 78.1, 77.2, 75.9, 
##     74.1, 66.6, 59.4, 55.2, 50.6, 40.1, 29, 18, 6.96, -11.3, 
##     -22.7, -37.6, -57.8, -61.1, -75.4, -80.5, -85.6, -96.3, -100, 
##     -102, -109, -110, -111, 21.2, 60.3, 68.5, 70.8, 72.6, 76, 
##     64.5, 63.5, 62.4, 58, 54.6, 49, 23.7, -2.29, -26.5, -37.9, 
##     -55.9, -72.1, -68.3, -62, -51.7, -25.7, 21.7, 37.9, 46.3, 
##     52.2, 55.6, 60.3, 65.3, 67.1, 67.9, 64.3, 56.6, 52.3, 49.9, 
##     44.8, 39.1, 24.3, 14.6, 9.75, -15.7, -23.8, -60, -60.9, -60.5, 
##     -40.6, -29.2, -23, -17.8, -7.94, 10.1, 15, 28.8, 49, 50.6, 
##     52, 59.4, 60.9, 62, 61.7, 60.6, 57.4, 35.9, 27.4, 20.3, 4.18, 
##     -6, -51.5, -55.6, -58, -58.2, -46.2, -41.1, -10.5, -1.47, 
##     21.8, 25.4, 40.9, 42.8, 44.9, 49, 59.9, 65.6, 65.3, 62.2, 
##     59.2, 57.6, 53.9, 47.2, 42.1, 20.7, 16.2, 2.46, -9.26, -17.3, 
##     -53.1, -57.1, -61.9, -60.6, -53.7, -46.5, -37.4, -22.6, 94.3, 
##     94.3, 96.2, 96, 96, 95.8, 95.7, 94.2, 85.2, 52, 10.4, -37.2, 
##     -67.5, -83.8, -95.1, -101, -104, -109, -110, -111, -111, 
##     -111, -110, -110, -108, -106, -95.2, -73.3, -51.4, -44.5, 
##     32.2, 48.3, 66.4, 96.1, 98.5, 99.1, 96.5, 93.7, 89.6, 84.2, 
##     78.3, 71.4, 59, 37.9, 26.4, 19.2, 11.4, 3.55, 50.5, 66.2, 
##     71.6, 79.6, 83.5, 82.6, 80.5, 79.1, 77.7, 75.7, 71.6, 42.5, 
##     37.2, 24.9, 3.67, -39.3, -71, -97.4, -105, -102, -101, -97.3, 
##     -90.3, -66.2, 25.8, 38, 69.7, 95.9, 96.9, 90.7, 86.3, 73.7, 
##     64.4, -84.5, -88.2, -99.3, -93.2, -91, -82.4, -78.7, -64.6, 
##     -33.1, -26.7, 9.14, 34.1, 38.8, 87.1, 89.4, 93.4, 95.2, 94.1, 
##     83.8, 69.2, 59.6, 54.3, 48.9, 42.8, 29.7, 24, -26.3, -39.8, 
##     -52.5, -57.3, -61.4, -64.8, -75.1, -61.2, -34.4, -23.9, -18.8, 
##     -7.56, -1.82, 25.5, 47.9, 58.6, 65.4, 80.2, 92.9, 93.8, 94.3, 
##     92.9, 90.2, 88.1, 80.2, 72.9, 64.1, 59.9, 54.7, 44.4, 28, 
##     16.9, -26.8, -47.4, -54.2, -60, -62.3, -68.1, -67.7, -64.3, 
##     -58.5, -43.3, -38.9, -24.8, -20, -5.76, 6.53, 13.1, 25.5, 
##     45.5, 57.6, 87.9, 91.3, 102, 109, 116, 112, 109, 99.3, 32, 
##     15.5, -13.6, -25.5, -53.5, -59.4, -61.7, -63.4, -64.6, -61.9, 
##     -60.3, -58.5, -42.7, -9.88, -4.35, 1.15, 32.8, 71.8, -34.9, 
##     -34.9, -34, -34.1, -34.5, -34.7, -35.2, -35.7, -36.3, -37.1, 
##     -39, -41.6, -46.9, -50.9, -54.3, -54.9, -52.8, -45.5, -42.4, 
##     75.8, 91.3, 100, 105, 112, 115, 117, 46.9, -29.2, -38.8, 
##     -48, -55.3, -56.5, -63, -64.5, -67.3, -76.3, -77.2, -79.7, 
##     -80.4, -81.7, -81.8, -81.9, -80.8, -77.9, -76.4, -67.1, -63.1, 
##     85, 91.2, 95.2, 94.3, 87.6, 80.9, 75.2, -86.4, -88.8, -92.3, 
##     -94.5, -106, -109, -112, -116, -117, -125, -127, -128, -136, 
##     -136, -135, -135, -135, -135, -108, 35.5, 36.6, 32.2, 30.7, 
##     36.3, 39.3, 43.1, -53.6, -54.8, -62.7, -62.1, -61.7, -61.1, 
##     -57, -54.1, -52.6, -44.9, -38.4, -26.3, -24, -21.8, -19.6, 
##     -17.1, -12.4, 2.5, 4.73, 14.6, 15.8, 17.1, 18.4, 26.7, 23.8, 
##     12.6, 5.39, 0.18, -8.17, -11.2, -25.5, -31.7, -34, -36.4, 
##     -46.6, -51.2, -53.7, -55.8, -57.5, -59.1, -59, -58.7, -54.8, 
##     -54.1, -51, 8.36, 10.5, 11.5, 13.5, 15.8, 28.8, 30, 33.7, 
##     30.2, 27.3, -0.34, -2.79, -5.17, -10.3, -17.6, -27.6, -29.9, 
##     -32, -36.1, -37.8, -51.3, -57.4, -57.9, -51.3, -46.3, -35, 
##     -25.9, -21.5, -14.9, -10.8, -8.74, -4.5, 1.53, 7.25, 11, 
##     12.7, 16.9, 19.4, 21.7, 24, 25.2, 28.9, 29.8, 28.6, 17.7, 
##     15, -12, -26.5, -35.1, -38.6, -40.2, -43.2, -44.7, -46, -47.4, 
##     -49.9, -51.3, -56.2, -58.6, -59.2, -58.1, -55.6, -53.2, -38.4, 
##     -36.3, -31.6, -24.1, -21.8, -16.6, -11.1, -1.16, 9.59, 12.9, 
##     19.9, 21.9, 29.5, 38.6, 43.2, 42.7, 41.1, 30.9, 27.2, 16.8, 
##     15, 5.53, 3.17, -5.05, -12.9, -16.8, -20.9, -22.9, -28.8, 
##     -34.4, -42, -45.8, -49.4, -56.7, -60.5, -70.7, -80.2, -85.7, 
##     -94.3, -103, -105, -106, -105, -105, -104, -104, -104, -105, 
##     -105, -85.5, -82.1, -74.6, -70.5, -46.1, -20.9, -16.6, -8.43, 
##     -0.26, 27.3, 30.1, 36.8, 39.9, 41.2, 40.7, 22.9, -27.4, -33, 
##     -35.7, -41.2, -46.2, -51.5, -65.3, -82.8, -91.8, -97.3, -100, 
##     -116, -108, -105, -102, -66.7, -63, -42.3, -35, -31.9, -20, 
##     -11.7, -6.47, 3.31, 5.48, 17.8, 23.9, 26.9, 31.6, 32.5, 34.1, 
##     31.8, 23.8, 19, -15.7, -18.4, -23.4, -26.2, -40.6, -47.9, 
##     -52.9, -55.4, -60.7, -76.9, -79.7, -87.8, -90.1, -102, -104, 
##     -101, -84.2, -78.4, -75.2, -56.4, -53.2, -49.7, -18.7, -9.05, 
##     -2.85, 10.7, 13.4, 16.1, 18.9, 31.6, 38.5, 40.5, 42.1, 44.5, 
##     40.4, 36.8, 32.7, 17.2, 8.91, 6, 3.17, -2.69, -8.25, -11, 
##     -19.7, -25.3, -30.5, -35.5, -38.1, -40.4, -42.9, -45.4, -47.9, 
##     -57.9, -48.3, -45.1, -41.9, -31.7, -28.3, -13.3, 6.64, 13.6, 
##     23.1, 24.8, 31.2, 35.5, 37.3, 37.3, 37.1, 34, 27.9, 25.9, 
##     24, 14.9, -8.21, -10.4, -18.4, -24.2, -26.8, -32.9, -50.4, 
##     -66.2, -80.6, -83.5, -88.5, -90.6, -98.8, -102, -103, -104, 
##     -104, -103, -97.2, -83.4, -81.4, -74.2, -71.7, -66, -63, 
##     -45.3, -37.3, -13.7, -9.65, -2.63, 8.82, 13.6, 18.2, 25.1, 
##     34, 37.7, 40.8, 38.9, 32.4, 28.4, 23.1, 20.4, 7.56, 0.59, 
##     -21.8, -25.3, -39.9, -78.9, -81.8, -91.5, -93.5, -100, -105, 
##     -105, -105, -103, -102, -94.8, -90.6, -82.7, -79.7, -63.1, 
##     -59, -55.1, -38.6, -7.98, 12, 14.9, 17.6, 37.2, 38.4, 38.6, 
##     37.2, 36.4, 35.3, 28.8, 27.2, 25.4, 23.3, 6.76, 0.13, -3.22, 
##     -6.19, -9.41, -17.1, -46.6, -59.3, -65.8, -68.9, -95.7, -101, 
##     -105, -97.2, -90.8, -88.5, -81, -75.5, -69.7, -46.9, -38.6, 
##     -34.2, -30, -3.75, -1.31, 19, 29.2, 33.6, 35.7, 41.2, 33.3, 
##     20.9, 9.9, 3.11, -0.26, -3.49, -10.5, -38.2, -41.1, -71.8, 
##     -74.7, -83.7, -94.8, -110, -112, -114, -114, 113, 126, 130, 
##     132, 134, 129, 105, 80.7, 57.8, 51.3, 45.6, 33.3, 21.6, -1.33, 
##     -7.56, -19.8, -31.2, -61, -58.9, -37.6, -5.52, 6.5, 11.7, 
##     27.7, 32.2, 41.4, 50.4, 55.1, 80.7, 113, 116, 135, 134, 133, 
##     129, 104, 85.4, 79.8, 74.8, 0.07, -5.81, -52.3, -55.8, -64.9, 
##     -58.4, -14.3, -3.78, 15.5, 19.7, 122, 122, 122, 122, 122, 
##     123, 124, 124, 124, 124, 112, 104, 79.1, 73.6, 53.9, 46.1, 
##     -5.8, -11.7, -18.1, -33.7, -37.4, -44.1, -46.8, -50.4, -50.8, 
##     -48.7, -44.7, -39.3, -29.6, 23.1, 26.1, 31.8, 44.4, 41.3, 
##     32.8, 30.1, 27.3, 2.22, -2.87, -43.9, -56.4, -51.7, -33.3, 
##     -24.1, -14.5, 16.3, 19.7, 23.5, 29.7, 40.7, 45.2, 47, 50.3, 
##     45.5, 29.5, 15.9, 10.5, -6.69, -13.3, -26.5, -39.5, -45.3, 
##     -65.8, -69.4, -54.4, -47, -43.4, -9.07, 17.4, 41.5, 46.8, 
##     50.4, 48.7, 47.5, 43.8, 41.7, 39, 32.6, 5.94, 0.55, -11, 
##     -60.8, -72.1, -73, -70.9, -61.2, -42.5, -32.9, -27.9, -17.6, 
##     -11.9, -1.61, 7.66, 11.9, 23.4, 32.1, 39.8, 42, 50.5, 53.3, 
##     54.1, 53.8, 52.4, 49.7, 41.3, 38.5, 20.3, 10.4, -0.4, -27.8, 
##     -72.5, -67.3, 38.2, 27.9, 21.9, 9.53, 3.06, -3.34, -40.5, 
##     -55.9, -63.6, -71.5, -70.4, -64.1, -58.5, -55.2, -11.8, -5.78, 
##     28.2, 32.1, 35.2, 41.3, 43.9, 48.8, 64.1, 64.8, 65.2, 63.5, 
##     62.3, 54.3, 41, 36.7, 25.9, 20.4, -4.66, -12.3, -42, -48.2, 
##     -53.1, -71.8, -74, -47.8, -42.4, 0.96, 11.6, 25.6, 39, 46.9, 
##     55.6, 57.2, 55.6, 46, 41, 34.4, 26.1, -0.99, -8.31, -23.6, 
##     -46.2, -65.4, -75.1, -70.3, -64, -56, -46.1, -40.6, -7.42, 
##     9.36, 27.1, 33.3, 38.6, 40.8, 42.9, 52.1, 53.6, 52.6, 48.8, 
##     47, -5.41, -12.4, -42.8, -57.7, -61.5, -73.2, 53.8, 51.3, 
##     37.2, 17, -5.11, -22.8, -68.1, -74, -78.8, -78.4, -75.3, 
##     -73.1, -68.1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, -49, -49, -48.7, -48.4, -47.2, -45.8, -41.4, 
##     -36.3, -24.6, -3.03, 18.7, 30.2, 30.9, 31.4, 30.7, 29.8, 
##     22.4, 20.4, 18.5, 11.7, 1.75, -0.31, -4.52, -7.81, -13.9, 
##     -26.9, -28.5, -30, -36.4, -38.4, -41.7, -44.3, -45.3, -46.2, 
##     -47.8, -48.1, -48.4, -48.7, -49, -50, -50.3, -49.3, -48.7, 
##     -48.1, -45.1, -42.2, -36.7, -27.7, -5.32, -0.13, 10.2, 34.2, 
##     36.7, 33.7, 29, 22.2, 13.6, 10.8, 2.21, -9.99, -19, -21.8, 
##     -23.9, -28.1, -31.6, -33.4, -37.7, -39.5, -40, -40.6, -41.3, 
##     -44.9, -48.2, -48.6, -48.8, -48.9, -48.4, -48, -47.4, -42.7, 
##     -33.3, 46.2, 48.9, 47.9, 45.1, 40.8, 34.7, 27, -18.3, -23.9, 
##     -41.2, -42.2, -43.3, -50.1, -52.9, -54, -54.4, -55.1, -55.7, 
##     -55.2, -53.4, -52.6, -49.6, -48.4, -47, -45.5, -40.3, -35.6, 
##     -30.1, -19.1, -14.4, -9.65, 1.08, 6.21, 18.9, 40.6, 45.1, 
##     57.9, 59.3, 58.3, 55, 51.9, 47.8, 47, 46.1, 45.3, 44.3, 43.1, 
##     28.1, 23.4, 13.9, 2.19, -8.93, -42.9, -58.2, -59.6, -65.7, 
##     -66.7, -67.6, -68.6, -71.7, -73.9, -82.2, -83.1, -89.6, -90.4, 
##     -91.6, -92, -86.6, -86.6, -86.8, -86, -85.1, -84.6, -84.3, 
##     -84.4, -84.7, -85.3, -85.6, -85.8, -86.2, -86.3, -86.3, -86.5, 
##     -90.3, -90.8, -91.8, -91.6, -92.1, -92.4, -92.3, -79.5, -76, 
##     -64.5, -61.5, -58.6, -51.9, -44.1, -39.8, -34, -21.3, 41.6, 
##     78.2, 88, 93.7, 95, 96.9, 98.9, 98.3, 96.3, 95.4, 94.3, 91.4, 
##     89.6, 60.7, 37.7, 29.9, 9.22, -82.5, -78.7, -76.7, -74.7, 
##     -65.5, -51, -47.7, -36.1, -27.3, 0.98, 7.56, 23.2, 33.1, 
##     41.8, 60.7, 65.4, 79.5, 89.6, 90.5, 89.2, 86.6, 82.6, 56.8, 
##     44.9, 39.1, 25.8, 19.7, -25, -40.8, -44.2, -56.2, -58.3, 
##     -60.7, -62.7, -65, -67, -72.3, -74.1, -78.5, -95.4, -96.8, 
##     -103, -98.4, -96.5, -71.4, -65.4, -48.9, -37.1, -18.6, -13.8, 
##     3.42, 10.2, 38.2, 53.1, 60.1, 74.8, 76.7, 77, 75.5, 73.2, 
##     71.7, 63.6, 57.8, -78.1, -108, -108, -108, -102, -7.08, 8.01, 
##     21, 50.7, 21.1, 16.4, 7.03, 1.93, -3.5, -13.9, -27.8, -43.8, 
##     -63.3, -66, -39.9, -46.3, -48.8, -55.1, -58.9, -62.6, -68.3, 
##     -70.1, -86.5, -96.4, -96.8, -95.6, -95.1, -94.3, -93.3, -84.4, 
##     -93.1, -93.5, -94.2, -94.5, -94.7, -95, -94.5, -92.1, -90.2, 
##     -88, -87.8, -87.1, -86.6, 174, 163, 148, 33, 6.5, 3.82, -1.17, 
##     -7.4, -6.24, -2.76, 20.2, 53.3, 132, 148, 151, 152, 152, 
##     17.7, 51.3, 57.9, 87.3, 95.9, 103, 125, 132, 133, 135, 133, 
##     132, 126, 120, 97.4, 91.8, 85.6, 80, 60.7, 54.3, 47.3, 3.33, 
##     -4.28, -12.2, -26.2, 2.35, 13.9, 37.7, 69.9, 74.3, 91.8, 
##     96, 105, 113, 124, 129, 129, 127, 121, 118, 116, 109, 85.7, 
##     29.2, 1.76, -3.32, -13.4, -19, -33.4, -46.8, -43.8, -37.2, 
##     -24.2, -14.1, 2.25, 13.9, 63.5, 68.3, 86.5, 1.73, 7.38, 14, 
##     33.2, 45.5, 63, 68.6, 94.4, 99.8, 114, 126, 129, 129, 129, 
##     -38.2, -30.5, -18.5, -4.55, 5.64, 24.2, 31.4, 46.2, 66.2, 
##     77.7, 83, 87.5, 102, 106, 111, 115, 121, 127, 130, 130, 129, 
##     94, 87.2, 73.4, 53.6, 47.4, 29.4, 8.12, -0.84, -27.8, -42.6, 
##     -47.1, 101, 91.7, 78.5, 35.4, 27.2, 19.1, 3.79, 1.64, -12.7, 
##     -14.4, -16.1, -19.1, -21.9, -26.8, -29.2, -33.2, -34.7, -36.2, 
##     -37.7, -42.7, -51, -54.4, -56.2, -65, -68.3, -73.3, -76.8, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50.2, -52.7, -55.3, -60.7, 
##     -94.3, -103, -105, -105, -101, -99.7, -97.9, -96.2, -93.9, 
##     -83.5, -70.9, -67.9, -64.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -75.3, -40.1, 
##     21.9, 26.9, 38.3, 47.1, 49.6, 59.5, 62.3, 63.8, 65, 65.8, 
##     66, 65.5, -61.5, -54.2, -24.3, 17.8, 54.8, 57.3, 62, 64.2, 
##     68.1, 71.5, 69, 67.4, 65.2, 63, 60.5, 57.6, 54.6, 53.6, 56.6, 
##     79.9, 83.3, 94.7, 98.1, 105, 113, 118, 121, 126, 123, -35.5, 
##     -32.3, -14.9, -6.86, 49.8, 70.7, 107, 118, 120, 120, 122, 
##     122, 120, 120, 119, 115, 113, 107, 105, 127, 121, 116, 112, 
##     99.3, 94.3, 82.5, 68.6, 46.4, -14.3, -19.3, -24.7, -44.1, 
##     -46.8, 112, 115, 117, 120, 115, 96.5, 91.2, 85.7, 73.7, 11.4, 
##     5.27, -28.1, -33.3, -41.2, -39.2, -14.2, 150, 145, 143, 116, 
##     96.2, 49.6, 2.27, -8.9, -22.9, -26.6, -30, -30.9, 70.5, 163, 
##     -174, -171, -170, -169, -167, -167, -167, -168, -168, -171, 
##     -172, -55.2, -68.5, -90.4, -97.6, -97.3, -96.6, -94.3, -46.8, 
##     -13.2, 9, 15.9, 44.6, 60.7, 50.1, 68, 70.2, 76.8, 78.8, 78.5, 
##     75.7, 74.3, 56.9, 41.1, 19.8, 4.23, -1.77, -7.78, -21.4, 
##     -79.6, -88.2, -106, -105, -104, -102, -98.5, -94, -83.9, 
##     -79.8, -64.6, -51.6, -37.5, -2.24, -14.6, -1.3, 19.6, 24.1, 
##     28.2, 32.8, 42.5, 48.4, 64.7, 67.2, 81.1, 82.3, 83.6, 84.9, 
##     88.1, 89.8, 91.4, 92, 93.2, 93.9, 94, 94.1, -115, -101, -80.3, 
##     -67.5, -62.9, -49, -12.7, 44.2, 48.9, 53.1, 57.2, 67.2, 78.2, 
##     79.4, 79, 77.3, 73.5, 71.5), total_accel_arm = c(34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 25, 25, 25, 25, 25, 25, 
##     25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
##     25, 25, 25, 25, 25, 25, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 2, 3, 3, 3, 3, 4, 4, 6, 6, 7, 8, 10, 14, 15, 16, 19, 22, 
##     23, 23, 25, 37, 40, 41, 44, 46, 45, 44, 44, 43, 42, 37, 36, 
##     36, 33, 30, 29, 22, 29, 21, 15, 7, 7, 6, 7, 7, 8, 10, 15, 
##     21, 21, 23, 24, 27, 31, 31, 38, 43, 44, 45, 46, 47, 45, 43, 
##     43, 42, 41, 39, 37, 38, 34, 23, 26, 27, 32, 38, 40, 43, 44, 
##     45, 44, 43, 43, 34, 34, 32, 32, 29, 17, 11, 11, 9, 8, 7, 
##     6, 5, 5, 5, 7, 7, 8, 9, 12, 13, 15, 17, 21, 23, 25, 28, 28, 
##     29, 32, 35, 44, 44, 46, 46, 31, 30, 26, 25, 25, 20, 18, 14, 
##     15, 10, 8, 7, 6, 6, 7, 7, 8, 8, 10, 14, 15, 18, 21, 22, 23, 
##     22, 23, 16, 18, 15, 14, 11, 10, 8, 8, 7, 8, 8, 10, 10, 13, 
##     14, 19, 18, 21, 22, 26, 31, 35, 42, 44, 43, 43, 42, 41, 38, 
##     36, 35, 35, 34, 31, 23, 21, 19, 18, 17, 13, 10, 11, 11, 10, 
##     10, 9, 8, 9, 10, 11, 12, 13, 15, 16, 23, 31, 37, 41, 44, 
##     42, 42, 38, 38, 9, 9, 11, 17, 19, 20, 21, 28, 32, 32, 35, 
##     37, 39, 40, 43, 43, 44, 41, 41, 8, 7, 7, 8, 10, 11, 17, 36, 
##     39, 40, 39, 36, 36, 24, 27, 27, 31, 37, 44, 44, 44, 43, 41, 
##     40, 35, 33, 28, 25, 22, 19, 19, 12, 20, 17, 16, 13, 14, 14, 
##     17, 17, 18, 18, 20, 21, 22, 23, 23, 23, 23, 23, 25, 25, 25, 
##     25, 24, 24, 24, 25, 25, 25, 24, 24, 24, 24, 23, 23, 23, 22, 
##     23, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 24, 25, 
##     25, 25, 25, 25, 26, 27, 30, 28, 28, 28, 29, 29, 28, 28, 28, 
##     29, 29, 28, 28, 28, 28, 29, 29, 28, 28, 28, 29, 29, 29, 29, 
##     28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 30, 30, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 29, 29, 29, 
##     29, 29, 29, 29, 29, 28, 29, 28, 31, 30, 30, 27, 28, 25, 23, 
##     16, 15, 9, 9, 14, 17, 28, 28, 28, 28, 28, 28, 28, 28, 28, 
##     28, 28, 28, 28, 27, 27, 27, 27, 26, 26, 26, 26, 25, 25, 25, 
##     23, 23, 23, 23, 22, 23, 23, 23, 23, 23, 25, 25, 24, 25, 25, 
##     25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
##     25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
##     24, 25, 25, 26, 25, 25, 25, 25, 25, 25, 25, 25, 26, 24, 27, 
##     27, 26, 26, 25, 25, 26, 25, 25, 26, 26, 26, 25, 26, 25, 26, 
##     25, 25, 26, 25, 25, 26, 26, 26, 25, 25, 25, 25, 25, 25, 24, 
##     25, 25, 24, 24, 24, 24, 22, 22, 21, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 
##     30, 29, 29, 28, 28, 28, 28, 29, 30, 29, 30, 30, 30, 30, 12, 
##     12, 14, 14, 14, 19, 20, 20, 21, 24, 28, 29, 30, 30, 30, 31, 
##     31, 28, 26, 17, 17, 14, 10, 11, 10, 11, 15, 15, 16, 16, 16, 
##     21, 21, 21, 22, 27, 27, 25, 26, 27, 28, 27, 28, 28, 26, 26, 
##     29, 28, 27, 24, 23, 21, 19, 16, 11, 13, 11, 9, 8, 11, 14, 
##     14, 18, 20, 22, 23, 25, 27, 27, 28, 26, 27, 20, 19, 17, 14, 
##     11, 10, 10, 11, 16, 18, 26, 27, 26, 26, 27, 27, 28, 28, 28, 
##     28, 28, 25, 21, 20, 16, 14, 9, 4, 10, 11, 10, 16, 18, 17, 
##     16, 18, 19, 24, 26, 25, 26, 27, 27, 28, 28, 28, 28, 28, 28, 
##     28, 28, 25, 25, 25, 24, 19, 17, 18, 20, 22, 23, 26, 27, 27, 
##     24, 24, 22, 20, 9, 9, 8, 6, 8, 5, 16, 15, 18, 27, 27, 26, 
##     28, 27, 28, 28, 27, 28, 25, 22, 20, 10, 10, 8, 7, 13, 13, 
##     16, 15, 23, 23, 27, 28, 27, 27, 27, 29, 29, 28, 27, 27, 25, 
##     24, 24, 23, 23, 21, 16, 9, 7, 11, 13, 17, 19, 21, 26, 27, 
##     27, 28, 28, 27, 27, 26, 27, 27, 29, 28, 16, 15, 10, 7, 5, 
##     3, 4, 9, 10, 11, 14, 15, 15, 16, 16, 16, 23, 26, 26, 26, 
##     27, 27, 27, 26, 27, 27, 27, 27, 27, 27, 27, 27, 25, 24, 22, 
##     18, 16, 13, 12, 29, 30, 28, 29, 29, 30, 30, 29, 29, 29, 30, 
##     30, 29, 29, 30, 29, 29, 29, 29, 30, 29, 29, 30, 29, 29, 29, 
##     29, 29, 29, 30, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 29, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 29, 30, 30, 30, 30, 30, 30, 29, 29, 30, 30, 30, 
##     30, 30, 30, 29, 29, 30, 29, 29, 29, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 30, 30, 30, 30, 30, 
##     30, 30, 30, 31, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 
##     30, 29, 28, 27, 26, 23, 19, 16, 15, 15, 13, 13, 15, 16, 19, 
##     22, 26, 40, 28, 30, 29, 30, 30, 30, 30, 30, 30, 30, 30, 29, 
##     28, 27, 27, 25, 15, 12, 13, 14, 22, 24, 35, 37, 43, 44, 44, 
##     42, 42, 40, 32, 26, 25, 21, 20, 31, 31, 32, 31, 30, 31, 31, 
##     30, 28, 28, 26, 23, 20, 18, 17, 15, 20, 34, 39, 42, 44, 42, 
##     38, 39, 32, 29, 19, 19, 19, 16, 17, 18, 46, 46, 39, 34, 34, 
##     32, 27, 20, 18, 19, 22, 27, 29, 30, 31, 32, 32, 32, 32, 32, 
##     31, 30, 28, 27, 16, 16, 15, 14, 14, 17, 19, 21, 37, 43, 41, 
##     35, 32, 23, 20, 20, 17, 18, 17, 17, 18, 23, 21, 24, 29, 30, 
##     30, 30, 30, 30, 30, 29, 30, 31, 31, 32, 32, 32, 31, 31, 31, 
##     29, 28, 28, 17, 16, 13, 15, 23, 25, 31, 39, 43, 45, 43, 42, 
##     41, 40, 29, 30, 30, 31, 32, 33, 33, 33, 33, 33, 31, 30, 30, 
##     29, 28, 29, 29, 25, 23, 14, 14, 19, 28, 43, 42, 27, 21, 16, 
##     16, 17, 18, 22, 23, 26, 26, 26, 27, 29, 31, 31, 32, 32, 31, 
##     31, 31, 30, 30, 30, 30, 29, 28, 20, 18, 14, 22, 25, 26, 47, 
##     39, 28, 27, 20, 20, 18, 18, 18, 20, 24, 32, 32, 31, 31, 31, 
##     30, 29, 27, 26, 22, 21, 18, 16, 19, 20, 22, 31, 33, 44, 46, 
##     43, 41, 38, 38, 38, 38, 38, 39, 38, 38, 39, 38, 38, 39, 38, 
##     38, 38, 38, 38, 41, 40, 40, 37, 38, 38, 39, 39, 39, 41, 40, 
##     39, 38, 40, 39, 38, 38, 38, 38, 39, 38, 39, 39, 39, 38, 39, 
##     39, 38, 38, 39, 38, 38, 38, 39, 38, 38, 38, 39, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 38, 38, 39, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     37, 38, 38, 38, 38, 38, 38, 38, 38, 37, 38, 38, 39, 36, 40, 
##     39, 39, 39, 38, 38, 39, 39, 38, 38, 38, 37, 40, 38, 38, 39, 
##     37, 38, 38, 39, 38, 38, 38, 38, 37, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     33, 34, 33, 33, 33, 33, 33, 34, 34, 33, 34, 33, 34, 33, 33, 
##     34, 33, 33, 33, 33, 34, 33, 33, 33, 33, 29, 28, 28, 26, 22, 
##     21, 20, 18, 17, 12, 10, 8, 7, 9, 11, 14, 26, 26, 31, 33, 
##     37, 37, 36, 35, 35, 31, 27, 24, 20, 17, 14, 11, 10, 9, 16, 
##     16, 22, 25, 26, 26, 28, 28, 31, 32, 33, 32, 32, 30, 29, 23, 
##     19, 15, 14, 11, 10, 10, 11, 16, 23, 25, 27, 29, 33, 34, 35, 
##     37, 38, 27, 25, 23, 16, 14, 17, 23, 25, 37, 35, 35, 32, 28, 
##     23, 23, 19, 15, 16, 16, 16, 18, 19, 24, 24, 26, 34, 33, 33, 
##     32, 32, 32, 31, 31, 29, 28, 27, 13, 11, 12, 15, 17, 18, 21, 
##     30, 37, 37, 37, 36, 35, 34, 33, 24, 23, 20, 20, 18, 15, 15, 
##     16, 19, 26, 28, 28, 29, 30, 33, 30, 31, 31, 30, 29, 24, 18, 
##     16, 15, 13, 11, 14, 17, 36, 37, 36, 37, 33, 28, 26, 22, 15, 
##     14, 12, 15, 18, 20, 21, 21, 25, 22, 22, 27, 33, 32, 32, 33, 
##     32, 32, 32, 33, 33, 33, 23, 14, 13, 13, 17, 22, 25, 25, 32, 
##     36, 36, 34, 32, 37, 38, 38, 38, 38, 37, 37, 37, 37, 38, 36, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 38, 37, 
##     37, 38, 37, 38, 37, 37, 38, 38, 37, 37, 37, 37, 37, 38, 37, 
##     38, 38, 38, 38, 38, 38, 37, 37, 38, 38, 37, 37, 38, 37, 38, 
##     37, 37, 38, 38, 38, 38, 38, 37, 38, 37, 37, 38, 38, 37, 37, 
##     37, 37, 37, 37, 38, 38, 37, 37, 38, 38, 37, 37, 38, 37, 37, 
##     37, 37, 38, 37, 37, 37, 38, 38, 37, 37, 38, 38, 37, 37, 37, 
##     37, 37, 38, 38, 38, 38, 37, 37, 37, 38, 37, 38, 38, 38, 37, 
##     37, 37, 37, 37, 38, 38, 37, 37, 38, 38, 38, 37, 37, 37, 37, 
##     37, 37, 37, 38, 38, 37, 38, 38, 38, 37, 38, 38, 38, 38, 37, 
##     37, 38, 38, 38, 38, 37, 37, 37, 38, 38, 38, 37, 39, 39, 36, 
##     37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 37, 37, 38, 37, 38, 39, 38, 38, 38, 37, 
##     38, 37, 37, 38, 37, 37, 38, 37, 37, 37, 38, 38, 38, 37, 38, 
##     37, 37, 37, 37, 37, 37, 37, 37, 38, 37, 37, 37, 38, 37, 37, 
##     37, 38, 37, 37, 37, 37, 37, 37, 37, 35, 35, 35, 34, 38, 37, 
##     37, 36, 23, 23, 22, 15, 18, 18, 26, 26, 27, 27, 33, 34, 33, 
##     30, 29, 28, 25, 16, 20, 22, 20, 34, 37, 37, 35, 35, 35, 35, 
##     37, 38, 38, 37, 35, 30, 29, 22, 18, 20, 21, 32, 38, 35, 32, 
##     26, 25, 27, 22, 24, 15, 19, 18, 26, 22, 32, 26, 31, 35, 40, 
##     35, 36, 37, 37, 28, 20, 19, 17, 17, 32, 33, 32, 32, 20, 20, 
##     22, 38, 39, 34, 36, 36, 34, 34, 35, 36, 41, 35, 33, 26, 21, 
##     20, 17, 17, 19, 23, 33, 38, 36, 35, 33, 19, 17, 20, 17, 20, 
##     21, 35, 39, 36, 38, 38, 35, 36, 34, 35, 38, 37, 35, 35, 34, 
##     34, 33, 31, 22, 22, 20, 19, 21, 36, 34, 30, 28, 16, 19, 28, 
##     38, 35, 35, 33, 35, 36, 37, 35, 34, 34, 34, 28, 27, 21, 21, 
##     18, 17, 17, 17, 20, 31, 34, 28, 29, 23, 20, 22, 20, 21, 27, 
##     30, 20, 27, 37, 39, 40, 42, 40, 35, 33, 36, 37, 38, 37, 33, 
##     31, 28, 24, 22, 18, 18, 30, 32, 31, 28, 25, 24, 20, 17, 15, 
##     20, 25, 21, 25, 24, 22, 33, 35, 39, 35, 36, 35, 36, 33, 30, 
##     26, 16, 16, 22, 28, 33, 13, 11, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 29, 29, 31, 27, 28, 32, 30, 27, 26, 
##     29, 23, 23, 22, 16, 14, 8, 8, 8, 9, 12, 21, 22, 19, 20, 21, 
##     22, 24, 25, 26, 27, 27, 27, 27, 27, 26, 25, 24, 14, 21, 24, 
##     24, 24, 25, 24, 25, 27, 25, 22, 20, 18, 12, 11, 13, 13, 14, 
##     21, 26, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 27, 25, 22, 
##     18, 28, 29, 29, 29, 29, 30, 30, 29, 29, 29, 29, 27, 27, 28, 
##     28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 22, 
##     24, 26, 27, 26, 25, 25, 26, 26, 31, 32, 31, 32, 32, 31, 32, 
##     31, 32, 32, 33, 33, 33, 32, 32, 32, 32, 32, 33, 33, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 31, 31, 31, 32, 32, 32, 32, 32, 32, 
##     32, 32, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 31, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 24, 21, 18, 17, 17, 19, 20, 20, 20, 
##     20, 20, 21, 21, 21, 21, 21, 20, 20, 20, 20, 21, 21, 21, 21, 
##     21, 21, 21, 21, 21, 21, 20, 19, 19, 20, 21, 21, 22, 22, 22, 
##     22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 
##     22, 22, 21, 21, 20, 26, 29, 27, 31, 32, 32, 33, 33, 32, 32, 
##     32, 32, 31, 31, 31, 31, 31, 31, 32, 31, 31, 32, 31, 31, 31, 
##     31, 31, 31, 31, 31, 23, 26, 23, 23, 23, 21, 21, 19, 15, 7, 
##     8, 10, 14, 27, 28, 30, 30, 30, 30, 30, 30, 27, 16, 12, 9, 
##     4, 10, 13, 21, 22, 24, 29, 29, 29, 29, 29, 28, 28, 23, 20, 
##     14, 13, 6, 6, 5, 11, 14, 23, 25, 24, 26, 21, 18, 10, 6, 7, 
##     6, 7, 11, 14, 21, 27, 27, 29, 31, 30, 30, 26, 24, 22, 8, 
##     6, 12, 21, 22, 22, 24, 24, 27, 22, 21, 18, 16, 12, 8, 6, 
##     5, 6, 6, 8, 9, 11, 11, 25, 28, 29, 27, 26, 26, 24, 20, 8, 
##     7, 13, 14, 14, 14, 18, 20, 21, 22, 26, 26, 26, 25, 24, 23, 
##     22, 21, 18, 17, 17, 14, 13, 7, 6, 2, 7, 9, 13, 16, 16, 19, 
##     19, 25, 25, 26, 30, 30, 30, 30, 29, 29, 29, 29, 29, 29, 28, 
##     28, 27, 21, 20, 17, 15, 11, 10, 10, 8, 6, 6, 7, 8, 13, 9, 
##     13, 15, 19, 24, 27, 27, 30, 31, 28, 30, 30, 30, 30, 29, 26, 
##     24, 22, 20, 20, 16, 15, 12, 12, 7, 6, 4, 6, 5, 5, 7, 7, 10, 
##     11, 11, 12, 17, 20, 20, 24, 25, 24, 25, 26, 25, 25, 25, 25, 
##     24, 21, 20, 18, 12, 10, 13, 18, 19, 22, 21, 22, 26, 27, 26, 
##     26, 27, 27, 27, 26, 26, 27, 25, 21, 21, 20, 19, 15, 10, 9, 
##     9, 6, 5, 5, 6, 13, 19, 22, 23, 24, 25, 25, 19, 21, 23, 23, 
##     24, 26, 26, 24, 22, 20, 17, 14, 19, 13, 6, 5, 4, 5, 8, 21, 
##     23, 25, 26, 27, 27, 26, 25, 23, 23, 20, 19, 18, 19, 21, 22, 
##     21, 21, 21, 21, 21, 20, 20, 21, 20, 21, 31, 32, 32, 32, 32, 
##     32, 32, 32, 32, 30, 29, 29, 28, 26, 32, 32, 31, 31, 32, 32, 
##     31, 32, 32, 32, 31, 33, 33, 33, 33, 33, 32, 33, 32, 32, 32, 
##     32, 33, 32, 38, 38, 38, 37, 38, 38, 38, 37, 38, 38, 38, 38, 
##     38, 38, 37, 37, 38, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 37, 38, 38, 40, 37, 31, 30, 16, 26, 
##     27, 31, 29, 29, 29, 24, 21, 21, 15, 13, 20, 24, 36, 37, 20, 
##     23, 26, 26, 27, 27, 29, 29, 31, 29, 30, 30, 32, 32, 32, 16, 
##     17, 21, 23, 25, 25, 26, 28, 29, 30, 30, 30, 30, 30, 30, 30, 
##     31, 30, 24, 17, 16, 15, 15, 15, 16, 16, 17, 19, 19, 26, 26, 
##     29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 24, 24, 28, 28, 29, 29, 30, 29, 30, 30, 
##     30, 30, 30, 30, 30, 30, 19, 19, 18, 18, 13, 14, 15, 16, 16, 
##     16, 16, 17, 17, 16, 16, 17, 19, 20, 21, 12, 12, 13, 11, 15, 
##     15, 13, 17, 19, 20, 18, 18, 24, 26, 26, 20, 20, 13, 9, 9, 
##     7, 7, 8, 15, 17, 17, 40, 36, 29, 33, 25, 24, 24, 22, 21, 
##     15, 8, 27, 26, 23, 17, 9, 7, 8, 7, 6, 26, 29, 33, 33, 37, 
##     43, 31, 32, 13, 11, 9, 8, 7, 5, 5, 5, 8, 10, 14, 17, 18, 
##     25, 25, 27, 31, 30, 30, 29, 29, 23, 22, 17, 14, 12, 12, 11, 
##     12, 14, 17, 8, 7, 6, 6, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 
##     2, 1, 2, 2, 2, 2, 3, 9, 13, 16, 17, 19, 24, 25, 30, 34, 35, 
##     39, 39, 45, 49, 47, 44, 43, 38, 33, 26, 23, 26, 17, 16, 17, 
##     16, 30, 31, 33, 41, 52, 51, 45, 43, 41, 36, 34, 33, 29, 28, 
##     25, 22, 15, 12, 11, 10, 10, 10, 9, 8, 7, 6, 5, 6, 9, 19, 
##     21, 21, 22, 23, 25, 29, 33, 39, 38, 57, 51, 44, 42, 40, 40, 
##     34, 23, 19, 19, 18, 17, 16, 13, 12, 11, 8, 19, 20, 25, 29, 
##     34, 35, 38, 39, 51, 47, 38, 37, 36, 25, 21, 20, 10, 9, 8, 
##     4, 9, 13, 16, 21, 29, 32, 33, 34, 43, 47, 42, 42, 40, 40, 
##     39, 34, 19, 22, 24, 24, 27, 28, 35, 39, 40, 44, 54, 40, 36, 
##     32, 31, 27, 18, 23, 16, 8, 6, 6, 5, 5, 5, 7, 8, 13, 20, 20, 
##     23, 28, 30, 31, 36, 51, 50, 45, 43, 39, 29, 22, 14, 10, 9, 
##     10, 9, 6, 5, 4, 4, 10, 21, 33, 8, 4, 5, 6, 8, 9, 10, 10, 
##     14, 17, 22, 21, 24, 25, 26, 34, 35, 37, 39, 44, 50, 44, 41, 
##     41, 38, 35, 28, 29, 21, 27, 16, 14, 11, 5, 6, 5, 7, 8, 10, 
##     12, 15, 22, 24, 22, 25, 27, 27, 30, 31, 32, 35, 37, 52, 57, 
##     31, 29, 23, 22, 20, 19, 23, 18, 19, 22, 23, 25, 29, 30, 30, 
##     31, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 32, 33, 33, 
##     32, 32, 32, 32, 32, 32, 31, 32, 32, 31, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 31, 31, 32, 32, 31, 31, 32, 31, 31, 31, 31, 31, 
##     31, 30, 30, 30, 30, 29, 26, 26, 25, 22, 22, 22, 31, 23, 19, 
##     19, 20, 20, 21, 22, 23, 25, 27, 33, 32, 31, 31, 32, 32, 32, 
##     32, 31, 31, 29, 27, 27, 27, 27, 25, 23, 16, 22, 28, 35, 37, 
##     42, 57, 61, 62, 49, 38, 34, 32, 31, 27, 26, 18, 18, 22, 23, 
##     24, 30, 31, 25, 23, 19, 17, 16, 21, 24, 27, 29, 31, 32, 38, 
##     39, 54, 55, 51, 50, 40, 26, 25, 23, 22, 20, 20, 19, 19, 21, 
##     23, 24, 24, 25, 28, 29, 31, 30, 31, 32, 32, 32, 32, 31, 30, 
##     30, 32, 29, 29, 21, 18, 21, 22, 22, 33, 37, 41, 48, 60, 65, 
##     65, 55, 49, 47, 46, 35, 32, 27, 23, 19, 19, 18, 18, 22, 24, 
##     30, 31, 31, 31, 31, 19, 18, 17, 17, 18, 19, 20, 27, 44, 46, 
##     47, 59, 62, 55, 50, 47, 41, 22, 20, 25, 21, 19, 17, 16, 16, 
##     17, 18, 22, 24, 25, 29, 35, 39, 42, 48, 58, 63, 62, 60, 43, 
##     42, 36, 16, 22, 25, 28, 31, 32, 31, 30, 30, 30, 30, 30, 32, 
##     29, 26, 17, 16, 16, 17, 19, 23, 26, 28, 22, 12, 14, 15, 15, 
##     19, 17, 20, 23, 22, 29, 29, 33, 33, 33, 33, 33, 33, 32, 32, 
##     33, 33, 32, 30, 28, 26, 23, 17, 14, 12, 19, 38, 20, 18, 14, 
##     14, 15, 18, 19, 20, 20, 22, 24, 26, 27, 28, 32, 32, 33, 32, 
##     32, 32, 32, 32, 16, 14, 19, 20, 24, 30, 32, 34, 36, 33, 32, 
##     29, 25, 20, 20, 15, 12, 12, 14, 16, 13, 12, 11, 9, 14, 20, 
##     25, 29, 33, 35, 35, 35, 33, 32, 23, 20, 18, 14, 12, 13, 19, 
##     22, 32, 31, 32, 31, 31, 30, 30, 27, 23, 21, 20, 18, 16, 13, 
##     14, 17, 21, 25, 24, 27, 30, 31, 31, 31, 31, 31, 31, 33, 32, 
##     33, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 22, 17, 16, 15, 16, 19, 26, 28, 31, 
##     32, 30, 30, 30, 29, 17, 16, 17, 19, 24, 26, 24, 25, 27, 30, 
##     30, 30, 27, 30, 30, 20, 15, 13, 12, 21, 24, 34, 50, 52, 51, 
##     30, 29, 30, 30, 30, 28, 25, 11, 10, 48, 48, 49, 43, 41, 40, 
##     39, 36, 16, 15, 14, 18, 19, 19, 27, 28, 28, 29, 30, 17, 11, 
##     11, 21, 16, 17, 19, 24, 25, 28, 30, 31, 30, 29, 29, 30, 29, 
##     30, 34, 38, 28, 27, 25, 15, 16, 17, 17, 20, 24, 24, 26, 28, 
##     33, 33, 31, 30, 30, 30, 32, 19, 16, 10, 10, 11, 12, 31, 34, 
##     37, 39, 49, 47, 42, 40, 38, 29, 19, 17, 16, 17, 18, 19, 21, 
##     23, 26, 27, 28, 20, 25, 23, 30, 20, 29, 31, 34, 33, 34, 38, 
##     40, 36, 33, 33, 34, 37, 37, 37, 36, 31, 34, 34, 42, 39, 34, 
##     34, 37, 38, 36, 36, 20, 19, 19, 19, 31, 36, 34, 32, 29, 29, 
##     28, 23, 22, 32, 31, 40, 35, 32, 35, 37, 35, 34, 35, 36, 36, 
##     35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 35, 33, 33, 35, 35, 37, 31, 29, 25, 21, 23, 29, 47, 50, 
##     50, 42, 40, 40, 27, 21, 27, 20, 42, 44, 42, 32, 33, 39, 45, 
##     39, 37, 35, 35, 23, 23, 34, 45, 49, 52, 50, 33, 33, 27, 21, 
##     28, 41, 37, 34, 34, 35, 35, 22, 24, 26, 29, 32, 37, 36, 43, 
##     40, 34, 34, 34, 37, 37, 21, 21, 36, 47, 52, 49, 43, 37, 36, 
##     32, 27, 28, 19, 32, 38, 42, 44, 42, 31, 33, 34, 40, 41, 39, 
##     36, 26, 22, 20, 21, 23, 25, 27, 31, 53, 51, 43, 35, 24, 24, 
##     18, 40, 39, 40, 33, 32, 32, 39, 41, 40, 39, 26, 23, 24, 24, 
##     26, 34, 45, 41, 44, 44, 43, 38, 34, 21, 28, 28, 52, 48, 46, 
##     34, 32, 17, 22, 20, 19, 10, 9, 2, 12, 14, 15, 15, 19, 24, 
##     24, 28, 28, 28, 28, 28, 28, 29, 29, 29, 30, 29, 30, 30, 30, 
##     30, 30, 31, 30, 30, 30, 30, 30, 31, 29, 28, 28, 26, 26, 26, 
##     24, 22, 19, 16, 13, 12, 8, 15, 18, 20, 25, 29, 39, 41, 41, 
##     41, 40, 39, 37, 36, 32, 15, 12, 7, 8, 5, 17, 23, 27, 27, 
##     25, 23, 24, 23, 22, 20, 19, 14, 11, 9, 8, 14, 22, 25, 28, 
##     30, 31, 34, 36, 38, 38, 7, 9, 15, 16, 18, 19, 19, 23, 26, 
##     27, 27, 27, 26, 26, 26, 26, 26, 43, 41, 41, 39, 29, 24, 9, 
##     9, 8, 3, 3, 4, 5, 5, 12, 20, 19, 24, 23, 24, 28, 28, 26, 
##     25, 25, 26, 25, 25, 24, 23, 10, 8, 9, 16, 20, 26, 27, 35, 
##     41, 45, 45, 44, 43, 42, 42, 41, 41, 40, 38, 28, 26, 21, 13, 
##     9, 7, 6, 27, 27, 25, 23, 20, 11, 10, 9, 22, 23, 27, 30, 33, 
##     34, 36, 38, 39, 40, 37, 25, 26, 26, 27, 27, 27, 25, 25, 24, 
##     23, 24, 20, 8, 7, 7, 16, 21, 22, 24, 29, 34, 39, 40, 42, 
##     42, 40, 40, 38, 38, 36, 30, 25, 10, 8, 5, 6, 3, 5, 6, 7, 
##     9, 17, 25, 26, 26, 27, 27, 27, 27, 27, 26, 26, 25, 26, 10, 
##     9, 16, 25, 28, 30, 32, 33, 33, 36, 39, 40, 42, 40, 39, 38, 
##     36, 35, 34, 33, 32, 31, 26, 9, 6, 8, 7, 5, 7, 8, 8, 8, 10, 
##     12, 13, 17, 17, 21, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 
##     29, 27, 25, 23, 12, 25, 27, 29, 30, 33, 34, 35, 41, 42, 43, 
##     42, 41, 39, 35, 32, 30, 16, 14, 30, 9, 5, 8, 6, 7, 19, 18, 
##     18, 20, 22, 23, 6, 18, 25, 27, 27, 26, 27, 27, 28, 25, 26, 
##     25, 19, 8, 8, 10, 15, 17, 18, 25, 27, 33, 34, 35, 36, 37, 
##     38, 39, 41, 42, 41, 40, 40, 39, 38, 35, 33, 30, 23, 13, 24, 
##     25, 25, 25, 25, 26, 26, 27, 27, 27, 28, 27, 28, 28, 28, 28, 
##     28, 28, 16, 11, 7, 6, 6, 10, 11, 18, 21, 27, 27, 23, 24, 
##     23, 21, 19, 19, 14, 11, 8, 8, 11, 12, 12, 15, 20, 10, 15, 
##     20, 24, 25, 26, 27, 27, 27, 26, 26, 25, 26, 20, 19, 16, 12, 
##     32, 32, 31, 30, 29, 23, 22, 14, 11, 8, 9, 9, 13, 14, 14, 
##     16, 21, 21, 21, 22, 23, 25, 26, 26, 29, 29, 28, 27, 23, 17, 
##     12, 11, 7, 4, 9, 9, 13, 14, 16, 19, 19, 21, 23, 24, 25, 25, 
##     27, 28, 28, 29, 30, 30, 29, 30, 25, 17, 11, 10, 9, 11, 14, 
##     15, 21, 21, 22, 23, 26, 26, 27, 25, 24, 13, 9, 6, 7, 7, 9, 
##     16, 18, 19, 19, 23, 26, 27, 28, 30, 28, 30, 30, 31, 29, 29, 
##     28, 27, 27, 25, 24, 23, 21, 28, 29, 29, 29, 29, 28, 27, 26, 
##     25, 23, 23, 22, 21, 19, 16, 14, 13, 11, 7, 6, 29, 29, 29, 
##     29, 30, 29, 29, 29, 29, 28, 13, 9, 8, 13, 14, 17, 22, 24, 
##     26, 31, 43, 44, 42, 42, 43, 43, 41, 39, 39, 34, 31, 27, 21, 
##     15, 8, 18, 20, 21, 26, 26, 30, 30, 32, 32, 31, 30, 28, 27, 
##     27, 24, 17, 5, 5, 11, 13, 21, 32, 33, 35, 38, 43, 46, 45, 
##     43, 43, 43, 40, 40, 39, 36, 33, 30, 17, 13, 7, 9, 10, 13, 
##     14, 15, 17, 26, 24, 27, 30, 31, 30, 30, 30, 30, 30, 31, 30, 
##     26, 20, 12, 9, 11, 18, 23, 24, 29, 33, 36, 36, 36, 37, 12, 
##     14, 16, 17, 24, 25, 34, 34, 33, 31, 32, 32, 32, 31, 29, 27, 
##     24, 18, 10, 8, 7, 11, 11, 12, 22, 27, 30, 31, 35, 38, 38, 
##     42, 40, 39, 39, 39, 39, 38, 38, 36, 36, 35, 31, 30, 25, 21, 
##     18, 6, 9, 31, 31, 31, 28, 25, 8, 11, 15, 19, 21, 22, 25, 
##     26, 27, 29, 29, 33, 39, 40, 39, 39, 31, 30, 27, 25, 23, 22, 
##     13, 11, 10, 9, 4, 7, 9, 12, 18, 21, 24, 24, 26, 30, 30, 31, 
##     31, 31, 24, 21, 5, 4, 10, 13, 20, 22, 24, 31, 31, 42, 38, 
##     37, 34, 34, 31, 31, 29, 23, 23, 17, 15, 6, 9, 12, 16, 18, 
##     19, 24, 29, 29, 31, 31, 32, 32, 31, 29, 28, 27, 26, 22, 20, 
##     16, 15, 12, 5, 7, 8, 11, 13, 14, 18, 26, 27, 27, 22, 23, 
##     23, 22, 24, 30, 29, 28, 28, 26, 24, 22, 20, 20, 21, 21, 21, 
##     22, 22, 27, 26, 26, 26, 26, 26, 26, 27, 28, 28, 26, 27, 27, 
##     25, 23, 24, 21, 19, 11, 11, 8, 11, 11, 12, 15, 23, 25, 27, 
##     28, 29, 27, 27, 28, 27, 27, 27, 26, 26, 26, 26, 26, 25, 25, 
##     24, 24, 23, 23, 24, 23, 22, 25, 28, 29, 28, 29, 31, 31, 32, 
##     32, 31, 32, 32, 42, 41, 39, 37, 36, 35, 34, 32, 22, 21, 20, 
##     16, 15, 13, 6, 4, 14, 16, 20, 22, 24, 25, 25, 26, 28, 30, 
##     29, 16, 11, 11, 9, 9, 11, 14, 15, 20, 21, 22, 22, 22, 22, 
##     28, 9, 5, 7, 8, 18, 22, 23, 24, 28, 29, 30, 31, 36, 35, 37, 
##     34, 35, 34, 33, 34, 38, 36, 33, 55, 51, 41, 37, 28, 25, 19, 
##     28, 23, 38, 39, 41, 35, 35, 35, 40, 40, 30, 28, 22, 22, 26, 
##     27, 46, 50, 49, 43, 35, 31, 29, 36, 36, 36, 36, 36, 36, 35, 
##     35, 35, 36, 36, 35, 35, 35, 36, 36, 34, 27, 23, 20, 19, 20, 
##     19, 18, 18, 19, 25, 34, 30, 30, 26, 26, 24, 16, 25, 22, 39, 
##     41, 44, 46, 59, 60, 48, 42, 41, 39, 34, 29, 25, 22, 18, 21, 
##     21, 22, 21, 22, 23, 32, 31, 30, 30, 30, 30, 30, 29, 31, 31, 
##     30, 30, 29, 25, 31, 31, 30, 31, 32, 31, 31, 31, 31, 30, 22, 
##     21, 20, 14, 14, 16, 19, 28, 31, 40, 46, 58, 60, 60, 58, 46, 
##     43, 21, 20, 19, 26, 31, 41, 49, 42, 38, 34, 25, 22, 33, 33, 
##     33, 33, 33, 33, 34, 34, 34, 34, 34, 33, 33, 29, 28, 53, 50, 
##     42, 39, 37, 30, 23, 20, 18, 18, 13, 11, 27, 26, 26, 18, 17, 
##     12, 11, 5, 4, 5, 2, 7, 6, 5, 5, 7, 21, 22, 25, 11, 12, 28, 
##     28, 29, 29, 32, 26, 25, 20, 14, 12, 10, 33, 27, 13, 13, 11, 
##     11, 10, 11, 15, 20, 26, 30, 35, 43, 49, 47, 45, 43, 33, 39, 
##     45, 49, 50, 46, 45, 45, 41, 36, 35, 31, 26, 40, 39, 36, 33, 
##     30, 20, 15, 17, 17, 24, 26, 32, 20, 17, 10, 15, 16, 23, 39, 
##     46, 55, 55, 43, 39, 37, 16, 19, 21, 26, 29, 33, 45, 49, 42, 
##     40, 37, 36, 24, 33, 33, 33, 32, 33, 32, 32, 32, 32, 32, 30, 
##     29, 28, 28, 28, 27, 18, 9, 31, 32, 28, 27, 25, 13, 11, 10, 
##     12, 22, 25, 30, 32, 34, 35, 36, 35, 35, 35, 24, 27, 26, 27, 
##     30, 31, 31, 32, 31, 31, 31, 31, 21, 44, 37, 34, 34, 32, 27, 
##     26, 20, 19, 20, 14, 13, 13, 8, 4, 3, 3, 3, 3, 4, 10, 16, 
##     18, 20, 28, 32, 33, 32, 33, 33, 34, 36, 35, 31, 28, 26, 24, 
##     24, 21, 20, 11, 9, 9, 6, 6, 8, 8, 8, 9, 10, 13, 15, 18, 20, 
##     19, 21, 21, 24, 25, 29, 32, 34, 34, 35, 35, 36, 36, 33, 30, 
##     27, 27, 24, 21, 15, 16, 12, 12, 7, 7, 7, 7, 6, 5, 5, 5, 4, 
##     4, 4, 5, 5, 6, 7, 7, 9, 11, 17, 19, 20, 19, 18, 17, 15, 11, 
##     9, 7, 7, 6, 6, 5, 5, 4, 4, 7, 10, 12, 14, 15, 17, 19, 20, 
##     26, 26, 31, 31, 36, 36, 36, 37, 37, 38, 31, 32, 31, 27, 22, 
##     16, 10, 8, 8, 8, 7, 7, 5, 5, 8, 9, 12, 13, 17, 21, 23, 22, 
##     36, 35, 36, 31, 24, 26, 25, 22, 21, 20, 17, 17, 14, 9, 8, 
##     6, 5, 5, 6, 7, 7, 9, 12, 15, 16, 19, 22, 26, 27, 29, 33, 
##     34, 33, 32, 32, 31, 29, 27, 24, 21, 19, 17, 10, 8, 6, 5, 
##     4, 5, 8, 11, 14, 15, 16, 17, 20, 22, 29, 36, 35, 37, 35, 
##     30, 30, 31, 25, 18, 14, 13, 8, 7, 5, 5, 5, 4, 4, 5, 6, 8, 
##     11, 16, 24, 26, 28, 30, 34, 35, 36, 30, 30, 25, 18, 17, 15, 
##     16, 23, 28, 30, 32, 35, 36, 44, 52, 53, 60, 62, 62, 51, 49, 
##     40, 33, 25, 23, 24, 26, 27, 29, 34, 35, 33, 32, 30, 34, 35, 
##     35, 34, 32, 24, 22, 20, 23, 28, 41, 45, 56, 62, 58, 53, 39, 
##     36, 34, 31, 24, 22, 19, 18, 21, 23, 24, 25, 26, 27, 34, 29, 
##     29, 29, 30, 33, 33, 33, 32, 27, 24, 22, 19, 20, 21, 30, 31, 
##     46, 48, 51, 52, 59, 59, 58, 53, 47, 45, 40, 38, 28, 24, 21, 
##     20, 33, 31, 31, 28, 26, 20, 20, 32, 31, 31, 31, 31, 31, 31, 
##     31, 31, 31, 29, 30, 31, 16, 19, 21, 28, 19, 15, 15, 14, 19, 
##     22, 30, 31, 31, 30, 31, 31, 30, 30, 28, 20, 14, 24, 27, 26, 
##     22, 20, 19, 16, 14, 14, 14, 16, 19, 19, 23, 27, 30, 29, 29, 
##     28, 29, 29, 30, 29, 30, 28, 27, 19, 15, 13, 13, 14, 16, 30, 
##     33, 32, 32, 26, 24, 20, 18, 19, 16, 12, 13, 16, 17, 18, 19, 
##     31, 31, 32, 29, 15, 16, 16, 18, 22, 26, 28, 34, 33, 25, 23, 
##     22, 19, 31, 31, 31, 31, 32, 32, 31, 31, 25, 21, 16, 18, 30, 
##     32, 33, 34, 31, 25, 18, 18, 18, 24, 25, 24, 30, 32, 30, 30, 
##     30, 30, 30, 31, 31, 31, 31, 31, 30, 16, 19, 21, 22, 24, 27, 
##     36, 38, 41, 48, 46, 45, 44, 44, 37, 31, 28, 26, 18, 16, 17, 
##     17, 25, 25, 29, 30, 30, 28, 27, 26, 26, 26, 28, 29, 29, 29, 
##     24, 12, 12, 17, 18, 20, 29, 30, 32, 34, 43, 47, 47, 47, 45, 
##     43, 38, 26, 15, 14, 13, 13, 18, 23, 27, 28, 30, 31, 31, 33, 
##     32, 32, 36, 35, 34, 24, 28, 27, 25, 11, 15, 21, 22, 22, 27, 
##     27, 28, 29, 29, 29, 30, 30, 30, 30, 30, 31, 30, 31, 31, 31, 
##     31, 32, 33, 33, 34, 33, 33, 32, 32, 32, 33, 33, 32, 33, 31, 
##     32, 32, 32, 33, 32, 32, 32, 32, 32, 32, 33, 32, 33, 33, 33, 
##     31, 32, 31, 33, 32, 31, 31, 32, 32, 33, 31, 31, 30, 30, 30, 
##     30, 30, 31, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 
##     30, 30, 30, 30, 29, 28, 28, 27, 25, 11, 10, 9, 9, 18, 18, 
##     17, 12, 13, 9, 8, 11, 22, 21, 24, 26, 26, 28, 31, 32, 30, 
##     31, 31, 29, 22, 18, 14, 11, 10, 11, 14, 17, 19, 21, 20, 18, 
##     17, 16, 16, 14, 23, 25, 31, 31, 13, 14, 13, 14, 23, 25, 27, 
##     29, 31, 30, 30, 30, 25, 17, 17, 13, 12, 16, 18, 20, 14, 13, 
##     12, 15, 13, 19, 22, 26, 30, 31, 31, 31, 31, 30, 27, 23, 21, 
##     20, 16, 18, 20, 21, 21, 21, 18, 15, 14, 17, 18, 23, 35, 35, 
##     32, 31, 31, 43, 52, 44, 38, 36, 30, 29, 26, 23, 32, 36, 38, 
##     42, 44, 43, 32, 31, 34, 34, 34, 36, 37, 43, 43, 40, 21, 21, 
##     23, 24, 29, 35, 38, 42, 56, 56, 46, 40, 29, 19, 31, 24, 17, 
##     47, 39, 42, 43, 41, 40, 38, 34, 36, 41, 43, 45, 25, 19, 34, 
##     49, 52, 46, 42, 35, 32, 28, 21, 24, 25, 29, 31, 32, 34, 34, 
##     36, 37, 38, 38, 38, 37, 35, 35, 33, 34, 36, 35, 36, 36, 36, 
##     37, 36, 36, 36, 36, 36, 36, 36, 35, 36, 37, 36, 33, 32, 30, 
##     30, 30, 21, 19, 18, 17, 21, 14, 14, 15, 16, 26, 33, 28, 30, 
##     35, 35, 33, 35, 35, 34, 35, 36, 34, 34, 34, 35, 33, 30, 23, 
##     22, 16, 15, 18, 19, 19, 15, 14, 16, 14, 16, 13, 19, 29, 37, 
##     34, 33, 35, 36, 36, 36, 35, 33, 34, 33, 36, 35, 36, 34, 26, 
##     21, 19, 19, 18, 18, 16, 15, 10, 17, 24, 34, 32, 35, 33, 32, 
##     36, 36, 37, 36, 22, 20, 20, 19, 15, 18, 19, 15, 13, 20, 26, 
##     27, 28, 37, 41, 41, 38, 35, 35, 35, 35, 38, 37, 34, 29, 25, 
##     22, 20, 19, 17, 18, 18, 21, 19, 17, 15, 16, 19, 32, 37, 37, 
##     39, 35, 33, 33, 34, 34, 35, 32, 29, 21, 17, 18, 21, 21, 22, 
##     18, 20, 16, 12, 13, 14, 19, 29, 27, 33, 32, 38, 38, 36, 37, 
##     35, 35, 33, 38, 38, 35, 30, 20, 20, 20, 21, 20, 18, 23, 22, 
##     28, 36, 34, 35, 35, 39, 39, 36, 34, 33, 33, 37, 37, 37, 35, 
##     22, 20, 16, 20, 14, 15, 40, 37, 36, 34, 34, 36, 36, 35, 34, 
##     20, 18, 21, 15, 18, 11, 12, 20, 28, 33, 33, 35, 38, 36, 33, 
##     33, 38, 37, 36, 23, 15, 20, 16, 15, 15, 16, 15, 13, 12, 13, 
##     15, 28, 35, 36, 36, 36, 35, 35, 35, 36, 35, 36, 36, 36, 35, 
##     36, 38, 31, 20, 24, 27, 35, 39, 43, 40, 38, 33, 31, 34, 35, 
##     40, 42, 42, 24, 23, 22, 19, 17, 6, 6, 15, 16, 19, 20, 20, 
##     21, 24, 26, 28, 27, 27, 28, 26, 27, 11, 11, 14, 15, 18, 19, 
##     20, 21, 24, 26, 27, 27, 27, 26, 27, 27, 39, 40, 41, 43, 42, 
##     42, 40, 40, 37, 32, 30, 23, 21, 17, 5, 12, 15, 17, 24, 27, 
##     27, 27, 27, 32, 33, 34, 33, 32, 31, 31, 32, 31, 31, 32, 32, 
##     33, 33, 33, 33, 33, 32, 31, 29, 31, 31, 34, 33, 32, 32, 31, 
##     30, 32, 31, 31, 31, 31, 30, 28, 28, 26, 25, 25, 23, 22, 16, 
##     10, 10, 10, 12, 13, 16, 14, 15, 15, 15, 14, 14, 13, 12, 11, 
##     12, 12, 13, 14, 15, 15, 16, 17, 18, 19, 19, 20, 22, 22, 21, 
##     22, 22, 22, 27, 27, 29, 28, 28, 28, 27, 23, 21, 9, 8, 8, 
##     8, 10, 12, 12, 16, 17, 17, 17, 17, 17, 15, 11, 8, 5, 5, 26, 
##     26, 26, 26, 26, 27, 23, 22, 22, 17, 13, 10, 7, 8, 11, 11, 
##     12, 12, 13, 13, 14, 12, 11, 10, 7, 9, 8, 11, 14, 19, 19, 
##     25, 25, 26, 27, 27, 27, 28, 29, 30, 29, 29, 30, 30, 25, 23, 
##     23, 23, 22, 21, 19, 17, 15, 12, 11, 8, 8, 12, 14, 13, 14, 
##     12, 11, 12, 12, 11, 8, 8, 7, 10, 12, 17, 17, 22, 22, 24, 
##     24, 26, 26, 26, 27, 27, 27, 28, 28, 25, 25, 25, 25, 24, 17, 
##     14, 9, 12, 11, 13, 13, 14, 27, 28, 28, 28, 29, 29, 29, 29, 
##     28, 28, 27, 25, 23, 22, 21, 19, 15, 11, 9, 8, 8, 8, 14, 14, 
##     14, 14, 14, 15, 15, 14, 15, 14, 15, 13, 11, 14, 26, 28, 31, 
##     29, 27, 30, 30, 29, 28, 23, 21, 16, 16, 15, 9, 8, 8, 10, 
##     11, 13, 13, 13, 13, 12, 13, 9, 7, 18, 18, 22, 24, 24, 26, 
##     27, 29, 29, 28, 28, 29, 27, 26, 24, 17, 15, 6, 8, 16, 11, 
##     10, 11, 11, 11, 11, 11, 9, 9, 7, 7, 8, 12, 14, 17, 17, 18, 
##     22, 22, 21, 27, 14, 12, 11, 9, 9, 8, 14, 19, 19, 21, 22, 
##     24, 24, 25, 25, 9, 7, 9, 13, 16, 16, 19, 21, 24, 27, 32, 
##     32, 31, 31, 31, 32, 31, 31, 31, 29, 29, 29, 29, 30, 27, 26, 
##     24, 22, 10, 7, 12, 15, 19, 21, 31, 40, 41, 38, 34, 29, 20, 
##     14, 5, 3, 4, 9, 19, 16, 10, 9, 7, 7, 18, 19, 20, 27, 29, 
##     32, 23, 27, 34, 35, 39, 40, 39, 38, 21, 21, 22, 31, 31, 31, 
##     31, 31, 32, 29, 27, 28, 28, 24, 16, 2, 22, 23, 24, 29, 33, 
##     36, 41, 42, 41, 41, 40, 39, 38, 35, 34, 30, 29, 28, 26, 24, 
##     21, 15, 7, 5, 4, 10, 10, 23, 24, 23, 28, 28, 29, 30, 30, 
##     29, 28, 25, 25, 21, 4, 6, 7, 9, 10, 12, 15, 16, 21, 23, 25, 
##     36, 36, 40, 42, 41, 40, 39, 39, 38, 37, 32, 29, 25, 23, 14, 
##     9, 5, 9, 10, 17, 19, 23, 24, 24, 27, 29, 30, 32, 32, 32, 
##     33, 32, 30, 30, 30, 27, 27, 41, 41, 41, 41, 41, 40, 39, 38, 
##     38, 36, 34, 34, 33, 30, 17, 32, 32, 32, 30, 30, 30, 29, 27, 
##     23, 21, 21, 18, 17, 15, 10, 10, 10, 7, 8, 9, 14, 16, 17, 
##     16, 14, 11, 10, 7, 6, 8, 11, 12, 13, 13, 18, 26, 29, 30, 
##     29, 29, 29, 28, 27, 25, 18, 13, 8, 8, 8, 8, 8, 7, 9, 12, 
##     12, 14, 15, 16, 14, 13, 13, 13, 13, 11, 9, 8, 7, 9, 10, 13, 
##     14, 22, 24, 24, 24, 29, 31, 28, 29, 30, 30, 26, 22, 19, 8, 
##     7, 7, 12, 11, 13, 14, 24, 25, 28, 27, 31, 30, 31, 18, 18, 
##     11, 10, 9, 7, 7, 8, 10, 11, 11, 13, 14, 18, 23, 24, 28, 30, 
##     30, 30, 29, 29, 30, 27, 24, 18, 13, 9, 7, 7, 5, 6, 8, 11, 
##     13, 30, 27, 22, 21, 16, 16, 7, 6, 10, 10, 12, 16, 7, 9, 11, 
##     15, 16, 14, 13, 14, 13, 12, 10, 10, 8, 8, 9, 9, 9, 11, 9, 
##     10, 12, 21, 21, 22, 31, 30, 31, 20, 18, 11, 5, 9, 12, 15, 
##     21, 23, 29, 33, 40, 41, 42, 31, 30, 26, 24, 11, 9, 7, 5, 
##     9, 10, 12, 19, 36, 36, 36, 34, 34, 36, 36, 29, 21, 26, 35, 
##     37, 45, 37, 36, 36, 35, 35, 36, 36, 36, 36, 36, 35, 36, 36, 
##     36, 36, 35, 36, 37, 36, 36, 36, 36, 35, 36, 35, 36, 36, 35, 
##     35, 19, 22, 23, 24, 25, 25, 25, 27, 28, 30, 31, 32, 31, 31, 
##     21, 26, 14, 18, 18, 18, 21, 26, 29, 29, 30, 31, 20, 22, 23, 
##     23, 25, 29, 32, 32, 31, 31, 31, 31, 31, 32, 33, 34, 33, 33, 
##     32, 33, 7, 6, 6, 8, 15, 16, 21, 24, 27, 36, 36, 36, 37, 25, 
##     26, 27, 29, 31, 33, 35, 36, 37, 35, 33, 25, 21, 17, 16, 15, 
##     10, 22, 24, 26, 26, 29, 33, 34, 34, 34, 32, 30, 24, 26, 28, 
##     33, 34, 34, 35, 35, 35, 33, 29, 26, 23, 24, 20, 7, 7, 5, 
##     5, 5, 4, 4, 16, 16, 19, 19, 22, 32, 32, 29, 26, 25, 24, 23, 
##     20, 19, 18, 16, 15, 12, 13, 12, 12, 20, 21, 22, 21, 20, 17, 
##     15, 9, 27, 29, 29, 32, 38, 45, 49, 49, 34, 17, 17, 14, 13, 
##     11, 10, 16, 17, 20, 21, 38, 37, 32, 26, 25, 23, 22, 15, 14, 
##     16, 21, 22, 23, 21, 20, 18, 12, 10, 10, 12, 18, 20, 22, 25, 
##     28, 37, 36, 33, 32, 31, 20, 21, 24, 25, 31, 36, 37, 30, 16, 
##     12, 11, 12, 14, 15, 16, 16, 16, 16, 14, 13, 11, 10, 8, 9, 
##     10, 14, 16, 18, 20, 25, 37, 35, 34, 31, 29, 21, 18, 11, 11, 
##     10, 8, 16, 17, 17, 37, 36, 34, 35, 35, 33, 28, 25, 28, 27, 
##     24, 19, 16, 14, 15, 10, 3, 3, 4, 4, 6, 12, 9, 13, 17, 21, 
##     19, 23, 26, 28, 30, 31, 30, 33, 35, 34, 39, 39, 34, 36, 34, 
##     35, 34, 32, 32, 30, 30, 31, 32, 33, 33, 34, 36, 36, 36, 37, 
##     37, 38, 40, 43, 38, 36, 36, 34, 32, 30, 26, 30, 28, 27, 28, 
##     29, 35, 36, 36, 36, 36, 41, 47, 48, 45, 43, 42, 41, 41, 28, 
##     34, 34, 35, 35, 36, 37, 38, 41, 46, 47, 48, 46, 45, 42, 41, 
##     42, 36, 36, 36, 33, 31, 27, 26, 25, 25, 25, 27, 28, 32, 32, 
##     33, 40, 40, 41, 44, 45, 46, 47, 47, 47, 44, 39, 37, 36, 48, 
##     46, 46, 43, 43, 42, 41, 40, 36, 34, 35, 35, 31, 29, 29, 31, 
##     31, 30, 27, 27, 27, 28, 35, 35, 35, 35, 36, 35, 36, 37, 40, 
##     42, 43, 44, 47, 48, 49, 29, 29, 31, 32, 33, 33, 40, 45, 46, 
##     48, 47, 47, 47, 41, 39, 38, 34, 31, 34, 32, 30, 30, 29, 28, 
##     28, 27, 28, 29, 29, 30, 31, 35, 36, 37, 37, 38, 37, 46, 45, 
##     44, 35, 36, 37, 33, 33, 29, 27, 28, 30, 31, 31, 33, 33, 33, 
##     39, 40, 47, 47, 46, 46, 43, 41, 36, 29, 13, 13, 13, 13, 8, 
##     9, 9, 11, 14, 17, 16, 20, 9, 9, 9, 10, 11, 13, 14, 14, 15, 
##     16, 13, 12, 11, 9, 9, 8, 7, 12, 19, 26, 27, 26, 27, 27, 27, 
##     26, 28, 31, 21, 17, 11, 11, 9, 11, 13, 14, 14, 16, 18, 18, 
##     21, 26, 28, 33, 31, 30, 30, 26, 25, 23, 22, 13, 8, 7, 7, 
##     8, 9, 11, 12, 13, 13, 12, 13, 12, 12, 11, 10, 10, 10, 7, 
##     7, 15, 17, 19, 21, 26, 27, 33, 34, 31, 31, 28, 28, 25, 9, 
##     8, 8, 9, 10, 10, 13, 13, 14, 14, 14, 12, 12, 12, 10, 9, 11, 
##     15, 23, 24, 25, 26, 27, 27, 29, 30, 30, 31, 29, 24, 24, 22, 
##     8, 8, 7, 9, 13, 15, 14, 14, 14, 14, 12, 9, 9, 10, 11, 12, 
##     22, 15, 14, 11, 9, 12, 11, 12, 10, 12, 14, 14, 14, 14, 13, 
##     11, 11, 10, 11, 17, 18, 19, 23, 24, 27, 29, 32, 33, 32, 32, 
##     31, 30, 30, 29, 23, 22, 17, 14, 10, 8, 9, 10, 26, 19, 13, 
##     18, 28, 34, 32, 24, 21, 14, 21, 22, 26, 28, 28, 30, 31, 31, 
##     29, 31, 31, 31, 31, 31, 29, 25, 12, 14, 18, 28, 30, 31, 31, 
##     30, 25, 15, 13, 13, 14, 24, 24, 25, 27, 32, 34, 32, 31, 29, 
##     30, 31, 32, 32, 32, 32, 31, 26, 18, 15, 28, 28, 28, 33, 32, 
##     33, 32, 33, 33, 32, 33, 31, 29, 28, 25, 24, 22, 21, 20, 20, 
##     20, 19, 17, 25, 29, 36, 49, 29, 27, 17, 18, 19, 20, 21, 24, 
##     30, 34, 44, 30, 31, 32, 34, 35, 35, 36, 36, 35, 30, 23, 20, 
##     18, 17, 16, 16, 29, 39, 47, 53, 51, 29, 23, 16, 17, 22, 29, 
##     31, 40, 34, 31, 31, 33, 35, 36, 34, 32, 28, 22, 20, 16, 15, 
##     23, 26, 46, 39, 37, 24, 18, 19, 25, 27, 27, 30, 34, 34, 30, 
##     30, 33, 35, 35, 29, 20, 19, 16, 17, 38, 50, 60, 55, 44, 38, 
##     18, 18, 17, 26, 31, 34, 37, 40, 39, 34, 32, 30, 31, 36, 36, 
##     33, 28, 26, 18, 16, 16, 19, 22, 28, 36, 38, 41, 45, 58, 50, 
##     47, 44, 32, 31, 24, 21, 18, 18, 19, 26, 27, 29, 31, 35, 32, 
##     31, 32, 33, 33, 33, 34, 33, 33, 35, 34, 33, 32, 29, 27, 21, 
##     16, 16, 18, 20, 25, 57, 58, 57, 54, 47, 44, 38, 35, 25, 19, 
##     18, 19, 21, 23, 28, 31, 38, 34, 31, 32, 33, 43, 32, 31, 18, 
##     22, 24, 24, 26, 27, 32, 34, 20, 17, 12, 26, 16, 12, 12, 29, 
##     27, 27, 30, 30, 31, 30, 31, 31, 31, 31, 28, 27, 25, 13, 10, 
##     9, 9, 9, 12, 13, 14, 21, 22, 25, 25, 24, 22, 18, 9, 11, 22, 
##     24, 25, 28, 29, 31, 31, 31, 32, 30, 32, 31, 30, 29, 29, 26, 
##     25, 20, 15, 20, 23, 24, 23, 21, 21, 17, 11, 17, 20, 22, 24, 
##     23, 24, 27, 28, 30, 31, 30, 29, 30, 23, 10, 8, 8, 9, 12, 
##     14, 20, 23, 25, 24, 18, 14, 14, 13, 11, 13, 17, 19, 24, 30, 
##     32, 32, 32, 31, 31, 31, 31, 30, 23, 20, 18, 15, 10, 11, 12, 
##     17, 17, 20, 22, 25, 15, 16, 25, 30, 31, 31, 32, 32, 32, 32, 
##     32, 32, 33, 32, 32, 32, 32, 32, 32, 32, 31, 31, 30, 30, 29, 
##     28, 27, 25, 22, 20, 16, 11, 11, 15, 12, 12, 13, 14, 14, 14, 
##     15, 15, 15, 15, 14, 14, 8, 17, 20, 25, 37, 37, 35, 32, 29, 
##     23, 21, 18, 13, 11, 12, 19, 18, 18, 20, 22, 45, 33, 25, 16, 
##     17, 24, 21, 35, 40, 34, 34, 34, 35, 35, 34, 34, 35, 34, 34, 
##     34, 34, 34, 34, 35, 35, 35, 35, 35, 34, 35, 35, 34, 34, 35, 
##     34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 
##     33, 32, 31, 23, 22, 12, 12, 13, 12, 12, 12, 13, 14, 12, 10, 
##     11, 12, 12, 14, 14, 12, 11, 16, 13, 14, 18, 19, 35, 40, 30, 
##     22, 23, 17, 18, 19, 16, 15, 17, 17, 16, 14, 15, 16, 16, 14, 
##     17, 20, 37, 41, 36, 30, 24, 16, 21, 14, 18, 15, 16, 17, 17, 
##     15, 14, 14, 14, 16, 16, 30, 31, 26, 17, 18, 22, 21, 19, 17, 
##     17, 16, 15, 14, 26, 31, 39, 40, 39, 26, 23, 19, 19, 15, 14, 
##     15, 14, 13, 15, 16, 16, 16, 14, 14, 16, 16, 17, 17, 15, 13, 
##     14, 15, 26, 36, 38, 41, 36, 33, 30, 31, 22, 18, 15, 17, 17, 
##     15, 19, 18, 20, 19, 16, 16, 31, 34, 40, 41, 36, 36, 35, 32, 
##     26, 25, 25, 19, 21, 23, 22, 23, 23, 17, 14, 14, 14, 15, 29, 
##     32, 35, 37, 30, 28, 24, 20, 17, 16, 17, 16, 17, 20, 20, 20, 
##     20, 20, 20, 18, 17, 16, 16, 28, 35, 42, 43, 37, 30, 19, 24, 
##     28, 31, 40, 37, 34, 33, 20, 18, 15, 14, 12, 13, 12, 28, 27, 
##     27, 27, 28, 28, 28, 28, 26, 25, 21, 25, 26, 29, 30, 30, 30, 
##     31, 31, 32, 27, 27, 27, 26, 14, 15, 15, 15, 15, 15, 15, 14, 
##     13, 13, 11, 8, 7, 6, 9, 10, 22, 25, 25, 27, 27, 28, 30, 30, 
##     30, 19, 17, 15, 13, 12, 11, 10, 9, 9, 9, 9, 9, 8, 14, 10, 
##     8, 7, 7, 8, 9, 10, 15, 22, 24, 31, 33, 30, 10, 10, 11, 11, 
##     10, 11, 10, 10, 14, 17, 24, 25, 26, 30, 31, 31, 31, 29, 26, 
##     26, 25, 13, 15, 12, 6, 11, 11, 12, 12, 19, 20, 24, 26, 29, 
##     29, 28, 26, 25, 25, 24, 21, 17, 15, 13, 12, 11, 8, 13, 14, 
##     13, 15, 14, 14, 14, 11, 11, 10, 10, 9, 9, 10, 19, 21, 25, 
##     26, 25, 24, 25, 21, 19, 6, 10, 11, 11, 14, 15, 16, 16, 15, 
##     15, 14, 14, 13, 12, 10, 14, 16, 17, 22, 23, 26, 25, 25, 24, 
##     23, 19, 17, 17, 11, 9, 10, 11, 11, 11, 12, 13, 13, 13, 12, 
##     12, 13, 11, 9, 10, 11, 9, 12, 20, 20, 26, 27, 28, 29, 30, 
##     31, 30, 28, 27, 24, 22, 21, 18, 12, 13, 15, 15, 17, 17, 12, 
##     9, 12, 13, 16, 28, 21, 16, 8, 9, 9, 8, 6, 7, 9, 8, 8, 8, 
##     9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 11, 9, 10, 10, 11, 12, 
##     15, 31, 30, 29, 29, 30, 30, 30, 30, 28, 27, 25, 19, 22, 21, 
##     15, 8, 8, 8, 10, 14, 13, 12, 12, 12, 12, 11, 11, 8, 7, 7, 
##     10, 14, 19, 18, 18, 20, 21, 19, 16, 12, 11, 9, 8, 8, 8, 12, 
##     13, 13, 16, 21, 21, 17, 10, 8, 6, 11, 15, 21, 24, 29, 27, 
##     28, 29, 15, 16, 17, 18, 16, 16, 15, 15, 15, 11, 11, 9, 9, 
##     9, 9, 7, 14, 15, 20, 21, 23, 26, 29, 29, 30, 30, 30, 30, 
##     30, 30, 27, 26, 25, 23, 18, 13, 10, 10, 10, 10, 9, 9, 12, 
##     12, 13, 15, 18, 19, 19, 18, 18, 18, 18, 16, 14, 11, 6, 7, 
##     7, 8, 9, 11, 11, 12, 14, 17, 18, 24, 24, 11, 9, 9, 8, 5, 
##     6, 9, 12, 13, 13, 13, 14, 15, 15, 14, 13, 13, 12, 9, 9, 8, 
##     8, 30, 28, 26, 23, 20, 19, 19, 12, 10, 9, 9, 8, 9, 10, 12, 
##     13, 13, 15, 15, 15, 14, 20, 23, 26, 29, 30, 32, 33, 30, 28, 
##     26, 25, 23, 13, 14, 19, 22, 23, 24, 25, 25, 29, 30, 30, 32, 
##     31, 30, 29, 29, 28, 27, 24, 18, 16, 11, 10, 8, 8, 12, 13, 
##     11, 8, 21, 25, 25, 25, 27, 30, 30, 30, 30, 30, 30, 30, 31, 
##     31, 25, 24, 23, 22, 18, 11, 10, 13, 13, 18, 18, 22, 26, 26, 
##     30, 24, 27, 28, 28, 28, 29, 29, 27, 26, 25, 22, 21, 20, 15, 
##     13, 11, 29, 29, 29, 29, 29, 29, 28, 28, 26, 24, 23, 20, 11, 
##     9, 8, 8, 28, 23, 20, 18, 18, 20, 21, 20, 18, 16, 19, 29, 
##     39, 40, 36, 34, 33, 28, 28, 22, 22, 19, 15, 19, 18, 14, 12, 
##     12, 11, 12, 12, 12, 12, 12, 21, 15, 14, 16, 15, 12, 11, 21, 
##     13, 15, 17, 12, 12, 12, 12, 12, 11, 12, 32, 29, 28, 27, 17, 
##     20, 43, 49, 51, 28, 19, 18, 21, 25, 25, 27, 35, 37, 38, 36, 
##     33, 30, 29, 29, 30, 31, 33, 33, 19, 15, 15, 17, 24, 26, 28, 
##     30, 28, 28, 27, 24, 19, 15, 15, 18, 18, 20, 27, 33, 33, 33, 
##     31, 31, 31, 30, 31, 31, 32, 30, 29, 29, 25, 20, 14, 17, 20, 
##     26, 30, 26, 20, 13, 15, 16, 20, 20, 22, 23, 47, 46, 45, 45, 
##     41, 39, 38, 35, 33, 33, 33, 31, 31, 30, 36, 27, 28, 30, 27, 
##     28, 30, 33, 34, 34, 35, 36, 37, 39, 33, 33, 33, 32, 32, 29, 
##     28, 40, 41, 42, 43, 44, 46, 46, 45, 44, 41, 38, 37, 37, 37, 
##     32, 22, 21, 18, 15, 14, 13, 11, 10, 10, 14, 13, 18, 19, 16, 
##     15, 13, 15, 10, 11, 12, 13, 13, 16, 21, 25, 30, 36, 33, 25, 
##     22, 15, 14, 35, 34, 29, 19, 15, 15, 16, 17, 26, 28, 31, 32, 
##     32, 31, 33, 35, 36, 38, 38, 39, 39, 39, 38, 38, 38, 31, 39, 
##     38, 37, 36, 34, 26, 15, 4, 13, 16, 20, 24, 26, 32, 34, 30, 
##     30, 30, 30, 30, 30, 27, 28, 27, 23, 15, 6, 11, 15, 31, 33, 
##     39, 40, 43, 45, 43, 38, 36, 34, 28, 24, 10, 7, 3, 6, 8, 10, 
##     19, 21, 26, 29, 29, 29, 28, 27, 29, 27, 28, 25, 24, 25, 19, 
##     10, 21, 26, 32, 34, 45, 51, 54, 51, 50, 49, 44, 41, 39, 35, 
##     32, 27, 24, 16, 8, 8, 2, 13, 13, 22, 25, 28, 29, 29, 29, 
##     29, 29, 30, 21, 40, 48, 50, 52, 54, 18, 18, 17, 16, 11, 5, 
##     15, 22, 25, 27, 32, 37, 39, 36, 34, 24, 13, 10, 13, 15, 17, 
##     17, 21, 21, 20, 19, 16, 14, 13, 12, 10, 14, 16, 17, 25, 27, 
##     38, 39, 39, 32, 29, 27, 26, 22, 17, 14, 12, 13, 15, 15, 18, 
##     19, 19, 19, 17, 17, 10, 13, 16, 21, 23, 37, 38, 39, 38, 35, 
##     33, 22, 18, 12, 11, 13, 13, 14, 17, 23, 24, 21, 20, 20, 20, 
##     18, 14, 13, 15, 17, 21, 24, 25, 36, 37, 38, 38, 37, 34, 31, 
##     27, 31, 31, 31, 30, 30, 30, 30, 29, 23, 13, 14, 25, 30, 36, 
##     42, 46, 47, 51, 50, 49, 49, 50, 50, 49, 49, 48, 43, 34, 27, 
##     26, 14, 20, 29, 31, 28, 28, 28, 29, 30, 30, 29, 28, 19, 11, 
##     10, 11, 13, 15, 18, 22, 23, 22, 20, 20, 19, 19, 20, 20, 21, 
##     14, 12, 9, 16, 24, 33, 47, 53, 50, 49, 47, 43, 37, 13, 14, 
##     26, 27, 26, 26, 26, 29, 21, 40, 43, 54, 48, 47, 42, 41, 36, 
##     25, 23, 14, 15, 16, 26, 26, 27, 26, 25, 28, 25, 22, 20, 18, 
##     15, 11, 11, 21, 27, 30, 33, 36, 39, 48, 40, 30, 27, 24, 21, 
##     18, 12, 16, 19, 22, 23, 26, 26, 26, 24, 26, 26, 26, 24, 22, 
##     22, 19, 17, 13, 13, 25, 36, 39, 41, 43, 48, 48, 46, 43, 35, 
##     34, 29, 27, 19, 16, 14, 16, 22, 26, 29, 29, 31, 34, 32, 32, 
##     32, 34, 11, 13, 21, 27, 40, 44, 45, 47, 47, 48, 47, 47, 37, 
##     24, 20, 17, 15, 26, 33, 31, 28, 23, 21, 11, 9, 10, 9, 8, 
##     7, 7, 5, 7, 16, 18, 32, 31, 28, 17, 17, 17, 17, 42, 54, 48, 
##     40, 27, 25, 22, 18, 19, 18, 17, 15, 9, 10, 12, 14, 18, 19, 
##     21, 26, 25, 26, 25, 24, 32, 59, 64, 44, 42, 41, 37, 31, 23, 
##     28, 22, 17, 16, 12, 11, 11, 5, 6, 7, 22, 24, 24, 25, 26, 
##     24, 24, 29, 27, 61, 44, 43, 43, 41, 12, 13, 15, 15, 15, 15, 
##     14, 13, 13, 11, 8, 10, 11, 12, 13, 14, 15, 21, 22, 25, 25, 
##     26, 27, 30, 31, 26, 24, 21, 18, 16, 10, 8, 9, 11, 9, 10, 
##     11, 14, 15, 14, 14, 13, 13, 13, 12, 23, 24, 24, 26, 27, 31, 
##     32, 34, 33, 33, 20, 19, 16, 15, 14, 9, 9, 6, 7, 7, 9, 13, 
##     13, 13, 12, 9, 10, 12, 14, 14, 16, 20, 22, 23, 26, 27, 28, 
##     28, 28, 28, 28, 30, 32, 32, 29, 28, 16, 11, 13, 13, 13, 12, 
##     12, 12, 11, 10, 10, 12, 14, 14, 14, 13, 12, 8, 8, 8, 9, 10, 
##     12, 16, 20, 25, 25, 28, 28, 29, 37, 38, 37, 35, 32, 31, 27, 
##     27, 25, 22, 16, 16, 15, 12, 13, 10, 8, 9, 10, 12, 15, 17, 
##     21, 25, 28, 31, 29, 31, 31, 30, 32, 32, 31, 32, 32, 31, 29, 
##     29, 28, 27, 15, 9, 11, 13, 17, 33, 33, 38, 40, 42, 40, 32, 
##     10, 9, 9, 11, 12, 13, 22, 26, 31, 31, 31, 31, 32, 32, 32, 
##     22, 22, 12, 9, 9, 12, 16, 16, 20, 22, 27, 30, 32, 35, 36, 
##     36, 35, 32, 29, 13, 12, 10, 9, 9, 11, 14, 14, 18, 24, 25, 
##     28, 29, 30, 29, 29, 27, 26, 26, 17, 14, 12, 10, 16, 20, 23, 
##     23, 25, 26, 33, 37, 38, 39, 41, 38, 37, 34, 28, 23, 22, 21, 
##     19, 15, 14, 10, 8, 9, 8, 9, 10, 11, 13, 14, 18, 15, 12, 6, 
##     2, 3, 12, 25, 26, 28, 29, 34, 36, 36, 36, 36, 36, 32, 31, 
##     30, 27, 17, 16, 13, 11, 10, 10, 16, 21, 26, 27, 28, 28, 29, 
##     29, 29, 29, 28, 28, 28, 25, 24, 23, 23, 24, 22, 15, 10, 14, 
##     17, 20, 24, 25, 27, 30, 33, 36, 40, 38, 35, 34, 31, 30, 25, 
##     21, 12, 10, 14, 24, 24, 27, 27, 27, 29, 27, 27, 27, 27, 26, 
##     27, 23, 22, 19, 18, 17, 11, 16, 26, 27, 27, 41, 42, 42, 36, 
##     35, 34, 33, 33, 32, 32, 24, 21, 19, 18, 17, 13, 12, 18, 20, 
##     22, 31, 29, 28, 29, 30, 30, 26, 25, 22, 13, 11, 11, 11, 20, 
##     22, 26, 31, 35, 37, 40, 35, 30, 25, 23, 22, 20, 13, 11, 11, 
##     21, 23, 26, 29, 31, 32, 30, 30, 40, 39, 33, 32, 30, 34, 37, 
##     32, 23, 20, 18, 16, 15, 19, 19, 25, 29, 49, 47, 38, 25, 20, 
##     19, 20, 20, 20, 21, 22, 28, 38, 38, 31, 31, 31, 34, 36, 32, 
##     31, 29, 19, 20, 45, 49, 58, 45, 27, 23, 19, 19, 33, 33, 33, 
##     33, 32, 33, 33, 33, 33, 32, 29, 29, 24, 24, 17, 16, 22, 24, 
##     26, 31, 35, 43, 45, 50, 49, 45, 42, 39, 36, 20, 21, 19, 21, 
##     20, 20, 20, 19, 20, 21, 35, 45, 41, 33, 32, 29, 21, 20, 21, 
##     20, 20, 20, 20, 20, 20, 20, 18, 18, 20, 21, 25, 30, 31, 49, 
##     54, 40, 38, 37, 25, 19, 17, 17, 20, 20, 20, 19, 19, 19, 18, 
##     17, 19, 20, 40, 53, 54, 48, 42, 36, 34, 32, 28, 26, 23, 21, 
##     20, 18, 18, 17, 16, 17, 18, 17, 17, 17, 17, 17, 17, 16, 17, 
##     19, 25, 47, 44, 16, 16, 16, 17, 18, 18, 30, 38, 43, 52, 50, 
##     45, 41, 39, 27, 26, 16, 15, 16, 15, 15, 14, 18, 18, 19, 19, 
##     19, 18, 14, 13, 11, 12, 18, 19, 28, 33, 35, 51, 54, 37, 36, 
##     21, 18, 17, 15, 15, 17, 17, 16, 15, 15, 14, 13, 18, 19, 23, 
##     31, 40, 50, 46, 41, 38, 36, 35, 24, 18, 16, 16, 14, 15, 15, 
##     16, 17, 17, 18, 17, 19, 20, 29, 34, 36, 49, 15, 14, 11, 13, 
##     18, 22, 40, 49, 55, 53, 49, 46, 43, 13, 12, 12, 13, 13, 13, 
##     13, 13, 13, 13, 14, 14, 14, 14, 14, 13, 13, 14, 13, 14, 13, 
##     14, 14, 14, 13, 14, 14, 13, 14, 14, 13, 14, 13, 13, 13, 14, 
##     14, 14, 14, 14, 14, 14, 15, 14, 14, 14, 13, 13, 13, 13, 13, 
##     12, 12, 14, 14, 14, 14, 13, 14, 14, 13, 13, 14, 13, 13, 14, 
##     13, 13, 14, 14, 14, 14, 13, 13, 14, 14, 14, 14, 14, 14, 15, 
##     14, 14, 14, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 
##     14, 14, 13, 14, 13, 14, 14, 14, 14, 14, 14, 13, 13, 14, 14, 
##     13, 16, 17, 22, 23, 27, 34, 35, 35, 35, 35, 35, 34, 34, 35, 
##     36, 36, 36, 35, 35, 34, 33, 34, 38, 39, 34, 26, 22, 22, 23, 
##     18, 20, 28, 30, 57, 49, 45, 37, 35, 35, 29, 25, 18, 25, 38, 
##     39, 42, 50, 40, 33, 44, 44, 24, 25, 41, 58, 46, 34, 31, 27, 
##     20, 27, 41, 47, 48, 46, 35, 43, 44, 39, 36, 40, 40, 39, 35, 
##     32, 23, 21, 21, 22, 29, 34, 46, 51, 42, 22, 27, 15, 27, 21, 
##     41, 38, 41, 35, 33, 31, 37, 38, 38, 38, 36, 38, 37, 35, 26, 
##     21, 19, 30, 45, 39, 36, 19, 18, 22, 26, 40, 43, 47, 44, 37, 
##     34, 26, 25, 26, 33, 31, 38, 36, 34, 35, 33, 30, 20, 30, 36, 
##     44, 14, 14, 15, 16, 17, 16, 12, 10, 10, 18, 25, 29, 30, 29, 
##     29, 28, 26, 26, 26, 24, 20, 19, 17, 16, 12, 6, 5, 8, 8, 9, 
##     8, 10, 11, 12, 12, 13, 13, 13, 13, 13, 15, 16, 15, 15, 15, 
##     13, 10, 11, 18, 18, 21, 28, 29, 28, 28, 26, 23, 22, 18, 14, 
##     9, 11, 9, 9, 5, 6, 7, 10, 9, 9, 11, 11, 13, 12, 12, 12, 13, 
##     14, 13, 13, 10, 32, 32, 31, 30, 30, 29, 28, 11, 7, 12, 11, 
##     11, 11, 14, 14, 14, 14, 15, 15, 13, 13, 13, 13, 13, 12, 12, 
##     12, 11, 15, 17, 17, 17, 18, 22, 28, 32, 39, 39, 32, 33, 33, 
##     31, 31, 31, 31, 32, 32, 28, 27, 24, 19, 16, 4, 11, 12, 17, 
##     17, 17, 19, 21, 22, 27, 27, 28, 29, 29, 29, 29, 29, 28, 28, 
##     27, 29, 28, 28, 28, 27, 27, 28, 28, 29, 29, 29, 29, 30, 31, 
##     31, 31, 30, 29, 31, 29, 26, 23, 20, 15, 11, 10, 9, 10, 25, 
##     39, 45, 49, 50, 48, 48, 48, 47, 46, 45, 44, 43, 32, 27, 24, 
##     19, 28, 28, 27, 26, 23, 16, 14, 10, 6, 14, 16, 22, 25, 27, 
##     35, 37, 42, 52, 52, 51, 49, 45, 34, 31, 29, 26, 23, 6, 2, 
##     3, 16, 17, 18, 18, 20, 22, 24, 24, 28, 33, 32, 29, 28, 28, 
##     28, 27, 20, 13, 9, 11, 17, 19, 27, 34, 38, 47, 48, 48, 45, 
##     45, 44, 40, 39, 26, 26, 26, 26, 27, 13, 20, 24, 36, 27, 25, 
##     17, 16, 14, 9, 7, 6, 18, 20, 2, 4, 6, 10, 16, 19, 22, 23, 
##     34, 29, 26, 29, 30, 29, 27, 27, 30, 30, 30, 30, 30, 31, 30, 
##     31, 30, 29, 29, 30, 29, 21, 21, 21, 27, 36, 37, 40, 54, 50, 
##     47, 36, 28, 17, 14, 14, 13, 12, 29, 22, 26, 21, 19, 20, 13, 
##     12, 12, 11, 12, 12, 15, 18, 21, 21, 20, 22, 23, 22, 25, 28, 
##     27, 29, 33, 34, 30, 24, 18, 18, 14, 14, 13, 14, 9, 9, 9, 
##     8, 9, 12, 14, 16, 20, 24, 28, 29, 31, 33, 39, 59, 55, 47, 
##     43, 40, 30, 24, 20, 17, 15, 29, 24, 22, 21, 18, 18, 20, 12, 
##     12, 17, 10, 7, 7, 8, 51, 46, 40, 35, 29, 19, 21, 16, 22, 
##     18, 21, 19, 14, 15, 15, 15, 13, 13, 10, 10, 8, 20, 20, 21, 
##     23, 24, 23, 24, 26, 35, 56, 65, 2, 2, 2, 1, 1, 2, 3, 2, 2, 
##     1, 2, 3, 3, 4, 4, 5, 6, 6, 6, 5, 6, 6, 5, 6, 5, 5, 3, 46, 
##     44, 24, 25, 21, 25, 35, 28, 41, 42, 42, 39, 37, 35, 32, 33, 
##     37, 39, 18, 21, 18, 47, 42, 32, 24, 21, 22, 16, 25, 15, 15, 
##     15, 18, 30, 29, 28, 28, 30, 30, 31, 32, 32, 24, 23, 23, 22, 
##     43, 33, 31, 28, 17, 19, 25, 24, 30, 30, 28, 44, 36, 35, 35, 
##     40, 40, 40, 36, 34, 31, 29, 22, 22, 47, 47, 45, 35, 33, 20, 
##     26, 31, 25, 24, 26, 38, 48, 50, 43, 41, 33, 30, 18, 21, 18, 
##     24, 35, 38, 50, 45, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 
##     13, 14, 13, 13, 48, 34, 14, 14, 13, 13, 14, 14, 14, 16, 18, 
##     19, 17, 16, 40, 39, 30, 19, 17, 18, 19, 20, 23, 22, 22, 22, 
##     22, 21, 21, 20, 19, 17, 18, 25, 27, 31, 33, 34, 34, 31, 31, 
##     32, 33, 50, 49, 40, 36, 21, 15, 20, 17, 17, 16, 9, 7, 4, 
##     2, 4, 3, 1, 1, 1, 9, 10, 14, 15, 20, 21, 24, 24, 23, 26, 
##     28, 29, 53, 60, 15, 15, 14, 14, 15, 23, 22, 23, 23, 24, 24, 
##     34, 40, 52, 51, 40, 14, 17, 18, 23, 23, 25, 28, 31, 35, 37, 
##     47, 56, 37, 31, 30, 22, 24, 21, 12, 12, 11, 10, 10, 8, 8, 
##     29, 33, 49, 56, 53, 51, 49, 31, 21, 16, 14, 19, 23, 19, 19, 
##     19, 19, 17, 17, 17, 18, 16, 12, 10, 14, 17, 18, 21, 35, 38, 
##     56, 50, 50, 49, 46, 44, 41, 40, 36, 33, 28, 17, 24, 20, 16, 
##     14, 10, 12, 10, 16, 20, 21, 25, 27, 27, 28, 28, 29, 29, 29, 
##     29, 29, 30, 29, 28, 28, 30, 24, 22, 18, 9, 30, 31, 33, 35, 
##     40, 48, 48, 47, 45, 41, 41), gyros_arm_x = c(0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 
##     0.02, -0.02, -0.02, -0.02, 0, 0.02, 0.03, 0.02, 0.02, 0.03, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 
##     0.02, 0, 0.02, 0, 0, 0, 0, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 
##     0.02, 0, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.03, 0.02, 0.02, 0.02, 
##     0.02, 0, -0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.03, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.05, -0.05, 
##     -0.06, -0.05, -0.06, -0.06, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.06, -0.06, -0.06, -0.06, -0.08, -0.08, -0.1, -0.1, -0.11, 
##     -0.13, -0.14, -0.13, -0.1, -0.06, -0.08, -0.06, 0.5, -0.26, 
##     -0.24, -0.24, -0.26, -0.26, -0.22, -0.21, -0.22, -0.21, -0.21, 
##     -0.24, -0.37, -0.35, -0.37, -0.18, -0.18, -0.19, -0.21, -0.22, 
##     -0.16, -0.18, -0.16, -0.16, -0.14, -0.14, -0.14, -0.18, -0.18, 
##     -0.19, -0.18, -0.21, -0.22, -0.24, -0.24, -0.35, -0.45, -0.55, 
##     -0.64, -0.67, -0.79, -1.09, -1.2, -1.54, -1.64, -1.77, -2.09, 
##     -2.23, -2.25, -2.3, -2.34, -1.57, -1.72, -1.85, -2.23, -1.98, 
##     0.22, 0.77, 1.16, 1.43, 1.48, 1.65, 1.67, 1.72, 1.75, 1.91, 
##     2.06, 2.06, 2.1, 1.83, 1.54, 0.45, 0.21, -0.21, -0.59, -0.71, 
##     -0.82, -1.27, -2.25, -2.49, -2.52, -2.55, -2.62, -2.68, -2.7, 
##     -2.76, -2.73, -2.41, -2.18, -1.88, -1.45, -0.93, 0.58, 1.38, 
##     1.46, 1.4, 1.33, 1.4, 1.41, 1.45, 1.4, 1.89, -2.67, -2.62, 
##     -2.34, -2.3, -2.26, -2.41, -2.31, -1.19, 0.88, 1.12, 1.48, 
##     1.93, 1.86, 1.89, 1.86, 1.83, 1.48, 1.57, 1.35, 0.83, 0.72, 
##     0.63, 0.51, 0.37, -0.18, -0.32, -0.61, -0.75, -1.19, -1.41, 
##     -1.85, -1.93, -2.17, -2.23, -2.7, -2.75, -2.71, -2.75, -2.73, 
##     -2.75, -2.71, -2.75, -2.18, -2.01, -1.45, -0.18, 1.94, 2.01, 
##     1.83, 1.64, 1.57, 1.45, 1.41, 1.3, 1.4, 1.33, 0.58, 0.5, 
##     0.29, 0.18, -0.24, -0.35, -0.47, -0.59, -1.19, -1.88, -2.23, 
##     -2.52, -2.68, -2.75, 1.56, 1.56, 1.59, 1.53, 1.51, 1.64, 
##     1.38, 1.41, 1.19, 1.14, -0.24, -0.4, -0.51, -0.61, -0.98, 
##     -1.32, -1.85, -2.07, -2.59, -2.71, -2.79, -2.83, -2.73, -2.47, 
##     -2.65, -2.49, -1.53, 0.82, 1.28, 1.46, 1.56, 1.83, 1.88, 
##     1.89, 1.93, 1.99, 2.01, 2.18, 2.04, 1.89, 1.85, 1.7, 1.56, 
##     1.33, 1.17, 1.08, 0.87, 0.58, 0.22, -0.4, -0.74, -1.03, -1.28, 
##     -1.53, -1.7, -1.99, -2.23, -3.03, -2.99, -2.6, -2.1, 0.55, 
##     0.93, 1.2, 1.88, 2.09, -0.98, -1.12, -1.45, -2.38, -2.52, 
##     -2.89, -2.94, -2.75, -2.57, -2.52, -2.62, -2.57, -2.6, -2.6, 
##     -2.14, -1.78, -0.42, 1, 1.35, 0.31, 0.05, -0.48, -0.83, -1.17, 
##     -1.32, -2.12, -2.73, 1.73, 1.85, 2.02, 2.18, 2.25, -2.71, 
##     -2.84, -2.81, -2.84, -3.02, -1.65, -0.55, 0.1, 0.61, 1.54, 
##     2.04, 2.25, 2.1, 1.89, 1.54, 1.41, 1.28, 1.27, 1.57, 0.45, 
##     0.61, 0.64, 0.82, 1.25, 1.4, 1.49, 1.49, 1.53, 1.53, 1.51, 
##     1.45, 1.28, 1.19, 0.85, 0.79, 0.72, 0.63, 0.58, 0.53, 0.51, 
##     0.48, 0.37, 0.34, 0.29, 0.24, 0.14, 0.13, 0.13, 0.13, 0.21, 
##     0.14, 0.1, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 0.16, 
##     0.37, 0.39, 0.51, 0.48, 0.47, 0.47, 0.4, 0.43, 0.43, 0.43, 
##     0.45, 0.48, 0.5, 0.55, 0.55, 0.95, 0.48, 0.21, 0.22, 0.22, 
##     0.16, 0.18, 0.19, 0.22, 0.22, 0.24, 0.22, 0.26, 0.26, 0.26, 
##     0.26, 0.27, 0.29, 0.29, 0.31, 0.34, 0.32, 0.32, 0.31, 0.31, 
##     0.31, 0.29, 0.29, 0.29, 0.24, 0.27, 0.27, 0.27, 0.24, 0.24, 
##     0.27, 0.27, 0.27, 0.29, 0.29, 0.27, 0.24, 0.26, 0.24, 0.24, 
##     0.24, 0.24, 0.24, 0.26, 0.32, 0.26, 0.27, 0.27, 0.31, 0.32, 
##     0.29, 0.29, 0.31, 0.27, 0.27, 0.26, 0.19, 0.22, 0.22, 0.16, 
##     0.19, 0.21, 0.22, 0.22, 0.16, 0.16, 0.19, 0.22, 0.24, 0.29, 
##     0.27, 0.29, 0.27, 0.1, 0.02, -0.02, -1.25, -1.54, -2.02, 
##     -2.12, -2.31, -2.18, -1.93, -1.99, -2.22, -1.96, 0.26, 0.34, 
##     0.26, 0.19, 0.21, 0.22, 0.21, 0.21, 0.26, 0.26, 0.26, 0.27, 
##     0.24, 0.16, 0.11, 0.03, -0.02, 0.02, 0.05, 0.13, 0.16, 0.14, 
##     0.18, 0.22, -0.11, -0.11, -0.08, -0.06, -0.05, 0, 0.03, 0.1, 
##     0.13, 0.19, 0.21, 0.19, 0.21, 0.26, 0.26, 0.26, 0.26, 0.26, 
##     0.27, 0.29, 0.29, 0.29, 0.31, 0.31, 0.29, 0.22, 0.22, 0.29, 
##     0.27, 0.26, 0.26, 0.26, 0.26, 0.27, 0.31, 0.31, 0.31, 0.31, 
##     0.27, 0.24, 0.21, 0.22, 0.21, 0.19, 0.19, 0.26, 0.26, 0.29, 
##     0.29, 0.31, 0.26, 0.29, 0.37, 0.34, 0.35, 0.32, 0.21, 0.35, 
##     0.24, 0.35, 0.31, 0.37, 0.37, 0.22, 0.19, 0.24, 0.31, 0.26, 
##     0.26, 0.29, 0.24, 0.27, 0.26, 0.27, 0.32, 0.26, 0.26, 0.27, 
##     0.26, 0.22, 0.26, 0.26, 0.24, 0.21, 0.21, 0.24, 0.22, 0.22, 
##     0.22, 0.24, 0.24, 0.19, 0.24, 0.24, 0.21, 0.21, 0.02, 0.05, 
##     0.42, 0.35, 0.31, 0.26, 0.24, 0.22, 0.22, 0.24, 0.22, 0.19, 
##     0.24, 0.22, 0.21, 0.21, 0.22, 0.24, 0.26, 0.24, 0.22, 0.29, 
##     0.29, 0.29, 0.24, 0.21, 0.24, 0.31, 0.34, 0.22, 0.24, 0.19, 
##     0.13, 0.13, 0.21, 0.26, 0.31, 0.34, -2.52, -2.47, -2.36, 
##     -2.17, -2.12, -2.09, -1.93, -1.69, -1.64, -1.36, -0.87, -0.77, 
##     -0.59, -0.45, -0.35, -0.08, 0.03, 1.4, 1.65, 2.39, 2.46, 
##     2.46, 2.3, 2.26, 2.07, 2.14, 1.91, 1.81, 1.73, 1.62, 1.57, 
##     1.57, 1.51, 1.45, 1.38, 1.06, 0.96, 0.64, 0.53, 0.37, 0.34, 
##     0.37, 0.31, 0.22, -0.35, -0.79, 0.24, 0.58, 0.87, 1.36, 1.59, 
##     1.73, 2.04, 2.26, 2.34, 2.36, 2.34, 2.1, 1.91, 1.91, 1.65, 
##     1.56, 1.56, 1.49, 1.36, 1.09, 0.53, 0.43, 0.4, 0.5, 0.13, 
##     -0.18, -1.98, -2.07, -2.23, -2.33, -2.3, -2.1, -2.02, -1.91, 
##     -1.56, -1.36, 0.02, 0.06, 0.06, 0.06, 0.02, 0, 0.06, 0.13, 
##     0.18, 0.22, 0.66, 1.33, 1.89, 1.99, 2.36, 2.42, 2.57, 2.54, 
##     2.39, 2.31, 2.1, 1.73, 1.51, 1.51, 1.53, 1.53, 1.51, 1.4, 
##     0.95, 0.71, 0.63, 0.55, 0.39, 0.39, 0.37, 0.37, 0.4, 0.4, 
##     0.42, 0.29, 0.03, -1.28, -1.49, -1.69, -1.81, -2.78, -1.7, 
##     -1.54, -1.19, -0.98, -0.77, -0.66, 0.22, 0.34, 1.11, 1.22, 
##     1.48, 1.64, 2.26, 2.34, 2.41, 2.41, 2.36, 2.3, 1.64, 1.69, 
##     1.45, 1.24, 0.96, 0.79, 0.37, 0.32, 0.21, 0.14, 0.13, 0.1, 
##     -1.01, -1.73, -2.09, -2.42, -1.88, 2.54, 2.26, 2.06, 2.01, 
##     1.43, 1.4, 1.3, 0.9, 0.83, 0.72, 0.67, 0.58, 0.48, 0.37, 
##     0.34, 0.34, -0.05, -1.64, -1.89, -2.09, -2.2, -2.42, -2.52, 
##     -2.59, -2.75, -2.5, -2.17, -1.43, -1.22, -1.09, -1.03, -0.88, 
##     -0.32, -0.18, -0.13, 0.02, 0.13, 0.19, 0.29, 0.31, 0.26, 
##     0.21, 0.4, 0.75, 2.59, 2.6, 2.78, 2.71, 2.62, 2.52, 2.26, 
##     2.26, 2.2, 2.12, 1.86, 1.8, 1.78, 1.69, 1.59, 1.51, -0.56, 
##     0.03, 0.08, 0.11, 0.16, 0.16, 0.18, 0.24, 0.27, 0.31, 0.35, 
##     0.37, 0.4, 0.43, 0.64, 0.75, 1.33, 1.59, 1.85, 2.04, 2.25, 
##     2.33, 2.34, 0.08, 0.22, 0.03, 0, -0.02, -0.1, -0.11, -0.14, 
##     -0.13, -0.02, 0, -0.03, -0.05, -0.02, -0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, -0.02, -0.02, 0, 0, 0, -0.02, 0, 
##     0.02, 0.03, 0.03, 0.02, 0.03, 0.03, 0.05, 0.08, 0.03, 0, 
##     0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, 
##     -0.02, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 
##     0.02, 0.02, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, -0.02, -0.02, 
##     -0.03, -0.02, 0, 0, 0, 0, 0.02, 0.03, 0.02, 0.03, 0.02, 0.03, 
##     0.03, 0.02, 0, -0.02, -0.02, 0, 0.02, 0.18, 0.21, 0.21, 0.05, 
##     0.02, -0.02, -0.08, -0.08, -0.06, -0.06, -0.06, 0.02, 0.1, 
##     0.06, 0.06, 0.05, 0.05, 0.03, -0.03, -0.02, -0.03, -0.31, 
##     -0.61, -1.12, -1.78, -2.06, -2.68, -3.1, -3.2, -3.21, -3.23, 
##     -3.32, -3.31, -3.29, -3.21, -3.07, -2.92, -2.75, -1.54, 1.16, 
##     0.74, 0.67, 0.4, 0.32, 0.08, 0.02, -0.11, -0.13, -0.16, -0.26, 
##     -0.69, -0.8, -1.89, -2.1, -2.65, -3.24, -3.44, -3.34, -3.34, 
##     -3.07, -3.02, -2.41, -2.41, -2.22, -1.91, -0.08, 0.82, 1.12, 
##     1.45, 2.55, 2.89, 2.83, 2.89, 2.92, 0.35, 0.1, -0.02, -0.1, 
##     -0.29, -0.47, -0.63, -0.74, -1.32, -1.46, -1.88, -2.7, -2.86, 
##     -2.92, -2.94, -3.13, -3.1, -2.47, -2.2, -1.65, -0.61, -0.13, 
##     0.71, 0.53, 1.98, 2.46, 3.1, 3.26, 3.21, 3.28, 3.23, 3.03, 
##     -0.71, -0.27, 1.54, 2.22, 2.36, 2.44, 2.89, 3.2, 3.12, 2.73, 
##     2.65, 2.31, 2.04, 1.72, 1.57, 1.22, -0.02, -0.08, -0.34, 
##     -0.56, -1.08, -1.32, -2.1, -2.44, -3.2, -3.23, -3.36, -3.37, 
##     -3.39, -3.29, -3.29, -3.36, -2.38, 0.69, 1.3, 2.3, 2.7, 3.02, 
##     3.1, 3.16, 3, 2.89, 2.89, 2.97, 2.62, 2.22, 2.31, 2.33, 2.26, 
##     1.72, 1.62, 1.12, 1, 0.85, 0.72, 0.64, 0.5, 0.32, 0.1, -0.03, 
##     -0.03, -0.21, -0.29, -0.4, -0.58, -1.06, -2.3, -2.47, -3.76, 
##     -3.76, -3.77, -3.69, -3.31, -3.21, -2.62, -2.12, -1.83, -1.54, 
##     0.88, 1.12, 1.28, 1.43, 1.28, 0.82, 0.61, 0.56, 0.32, 0.16, 
##     0.03, -0.05, -0.11, -0.19, -0.75, -1, -1.17, -1.33, -1.61, 
##     -2.23, -2.46, -2.99, -3.2, -3.52, -3.5, -3.28, -2.75, 0.92, 
##     1.17, 2.95, 3.05, 3.31, 3.23, 2.99, 2.92, 2.6, 2.62, 2.39, 
##     2.3, 2.3, 2.15, 2.01, 1.8, 1.08, 0.61, 0.39, 0.16, -0.32, 
##     -0.43, -0.9, -1.06, -1.59, -2.2, -2.41, -3, -3.47, -3.44, 
##     -3.64, -3.34, -3.18, -3.12, -0.27, 2.18, 2.91, 3.05, 3.15, 
##     3.18, 3.02, 2.95, 2.86, 2.84, 2.54, 1.41, 1.22, 0.4, 0.29, 
##     0.18, -2.18, -2.38, -2.5, -2.59, -2.7, -2.86, -3.03, -3, 
##     -2.91, -2.89, -2.83, -2.99, -2.99, -2.55, 0.61, 1.62, 2.01, 
##     0.08, 0.1, -0.08, -0.13, -0.05, -0.08, 0.02, 0.06, 0.11, 
##     0.1, 0, -0.03, -0.03, 0.02, 0, 0, 0, 0.11, 0.08, 0, -0.05, 
##     0.13, 0.08, 0.05, 0.02, -0.1, 0.03, 0.02, -0.13, -0.03, 0.06, 
##     0, 0.18, 0.16, 0.1, 0.05, -0.02, -0.03, -0.02, -0.05, -0.08, 
##     -0.1, -0.11, 0.02, 0.08, 0.03, -0.03, -0.05, -0.03, -0.03, 
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##     -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 
##     0.03, 0.03, 0.02, 0.02, 0, -0.02, 0.02, 0, 0, 0, 0.02, 0.02, 
##     0, -0.03, -0.02, 0, 0, 0, 0.03, 0.03, 0.02, 0.02, 0, 0, 0, 
##     -0.03, -0.05, -0.05, -0.02, 0, 0, 0, 0.03, 0.05, 0.03, 0.03, 
##     0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 0, 
##     0.02, 0.03, 0.03, 0, 0, 0, 0.03, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, -0.02, 0, -0.02, -0.02, -0.02, 0, 0.02, -0.02, 
##     0.02, 0.02, 0.05, 0.02, 0, 0, -0.02, 0, -0.02, 0.02, -0.02, 
##     0, 0, -0.02, -0.03, 0.02, 0.02, 0.02, 0.02, 0.02, -0.03, 
##     -0.02, 0, -0.02, -0.02, -0.05, 0, 0, 0, 0.06, 0.11, 0.08, 
##     0.16, 0.16, 0.11, 0.06, 0, 0.21, 0.13, 0.03, 0.03, -0.08, 
##     -0.02, 0.03, 0.03, -0.03, 0, -0.03, -0.21, -0.11, -0.03, 
##     0.03, 0.08, -0.02, 0.06, -0.03, -0.06, -0.1, -0.02, 0.02, 
##     0.02, 0.03, 0.06, 0.02, -0.02, -0.02, 0, 0.03, 0.02, -0.02, 
##     0.05, 0.03, -0.02, -0.02, -0.02, 0.02, 0, 0, 0.02, 0.02, 
##     0.03, 0.05, 0.06, 0.03, 0, -0.02, 0, 0.02, 0, 0.02, 0, -0.02, 
##     0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 0, 0.02, 0.02, 
##     0.02, 0.02, 0.02, -0.02, 0, -0.02, -0.02, 0, 0.02, 0, 0.02, 
##     0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0, 0, 0, 
##     0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 
##     0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 
##     0, 0, -0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.03, 
##     0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
##     0, 0.02, -0.02, -0.03, -0.03, -0.02, 0, -0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, 
##     0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0, 0, -0.02, -0.02, 
##     0.02, 0.03, 0.03, 0, 0.05, 0.05, -0.02, -0.05, -0.05, -0.02, 
##     0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, 0, 0.02, 0, 0, 0.02, 0.02, 0.03, 0.02, 0, -0.03, -0.02, 
##     -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, -0.02, 
##     -0.02, -0.06, -0.08, -0.06, -0.08, -0.08, -0.8, -1.03, -1.06, 
##     -1.14, -1.45, -1.51, -1.59, -1.7, -1.83, -2.06, -2.09, -2.09, 
##     -2.15, -2.14, -2.14, -2.15, -1.8, -1.7, -1.43, -1.32, -0.45, 
##     0.48, 0.58, 0.74, 0.77, 1.06, 1.48, 1.57, 1.56, 1.7, 1.81, 
##     2.1, 2.2, 2.17, 1.93, 1.83, 1.91, 1.89, 1.43, 1.32, 1, 0.95, 
##     0.82, 0.77, 0.51, 0.18, -0.42, -1.73, -1.91, -2.25, -2.38, 
##     -2.47, -2.49, -2.46, -2.44, -2.36, -2.34, -2.44, -2.25, -1.85, 
##     -1.7, -1.46, -1.4, -1.36, -1.06, -0.24, 0.45, 1.38, 1.36, 
##     1.43, 1.96, 2.01, 1.98, 1.93, -2.42, -0.74, 0.22, 0.92, 1.33, 
##     1.57, 2.04, 2.09, 2.26, 2.36, 2.33, 2.38, 2.39, 2.44, 2.46, 
##     2.18, 2.2, 2.17, 1.38, 0.93, 0.79, 0.4, -0.14, -0.64, -1.38, 
##     -1.65, -2.25, -2.41, -2.47, -2.65, -2.55, -2.49, -2.46, -2.39, 
##     -2.33, -2.28, -2.12, -0.8, -0.39, -0.02, 0.77, 0.9, 1.09, 
##     1.28, 1.67, 1.78, 1.91, 1.99, 1.99, 2.09, 2.23, 2.02, 1.73, 
##     1.93, 1.73, 1.67, 1.61, 1.49, 0.77, 0.31, -0.02, -1.88, -2.87, 
##     -3, -3.13, -3.1, -2.99, -2.89, -2.68, -2.49, -2.38, -2.38, 
##     -1.64, -1.17, -0.59, 0.35, 1.61, 1.98, 2.07, 2.28, 2.67, 
##     2.71, 2.73, 2.65, 2.49, 2.5, 2.46, 2.46, 2.12, 2.07, 2.17, 
##     2.25, 1.96, 1.59, 1.4, 1.03, 0.35, 0.16, 0, -0.67, -0.95, 
##     -1.41, -2.99, -2.79, -2.73, -2.52, -2.47, -2.26, -1.72, -1.65, 
##     -1.77, -1.46, -1.17, 1.04, 1.61, 0.05, 0.1, 0.03, 0.03, 0.02, 
##     0, 0, 0.02, 0, -0.21, -0.13, 0.02, 0.02, 0.05, 0.06, 0.05, 
##     0.02, -0.02, -0.02, 0, 0, 0, -0.02, -0.03, 0, 0.02, 0.02, 
##     0, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0, -0.02, -0.05, 
##     0, -0.03, -0.03, -0.02, 0.02, 0.03, -0.02, 0.08, -0.03, -0.05, 
##     0.05, -0.06, -0.03, -0.02, -0.03, -0.03, 0, 0, 0.1, -0.05, 
##     -0.05, -0.05, -0.02, 0.1, 0.05, -0.02, -0.05, -0.03, 0.02, 
##     -0.03, 0, -0.03, -0.02, -0.02, 0.02, 0, 0, 0.02, 0.02, 0, 
##     0.02, 0.02, 0, 0.03, 0.02, 0, 0.03, 0, 0, 0, 0, 0.02, 0.02, 
##     0.03, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, 0, -0.02, 0, 0, 0.06, 0.03, -0.02, -0.02, 0.02, 0.03, 
##     0.03, 0.03, 0, 0, -0.02, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 
##     -0.06, 0.02, 0.02, 0, 0.02, -0.03, -0.05, -0.05, 0, 0.08, 
##     0, -0.05, -0.03, 0.02, 0.02, -0.02, 0.1, 0.08, 0.02, 0, -0.1, 
##     -0.1, -0.1, -0.11, -0.16, -0.18, -0.02, 0, -0.02, -0.02, 
##     -0.02, -0.02, 0.05, 0.06, 0.05, 0.03, 0.03, 0.02, 0.02, -0.05, 
##     0.03, 0.08, 0.08, 0.06, 0.05, 0.02, 0.06, -0.02, 0.08, 0.13, 
##     0.14, 0.14, -0.08, -0.08, -0.05, -0.02, -0.02, 0.05, 0.05, 
##     0.06, 0.06, 0.06, 0.03, 0.02, 0.02, 0, 0, 0.03, 0.03, -0.02, 
##     0.03, 0.08, 0.1, 0.21, 0.32, 0.35, 0.03, 0, 0.02, 0, 0.03, 
##     0.02, 0.05, 0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 
##     0.03, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.05, 0.05, 0.05, 
##     0, -0.03, -0.03, -0.03, -0.03, -0.02, 0.02, 0, 0, -0.02, 
##     0, 0.02, 0, 0, -0.03, -0.02, -0.02, 0.03, 0.02, -0.47, -0.64, 
##     -1.61, -2.01, -2.1, -3.02, -3.08, -3, -2.89, -2.83, -2.71, 
##     -2.81, -1.06, -0.93, -0.96, -1.01, -0.93, -0.58, -0.02, 0.77, 
##     1.09, 1.3, 1.91, 2.75, 2.89, 2.6, 2.47, 1.8, 1.77, 1.48, 
##     0.08, -0.1, -0.32, -0.77, -1.12, -1.99, -2.18, -2.33, -2.78, 
##     -2.92, -2.89, -2.94, -2.71, -2.1, -1.8, -1.56, -0.4, -0.08, 
##     0.88, 1.8, 2.26, 2.33, 2.34, 2.57, 3.32, 2.6, 2.65, 2.67, 
##     2.73, 2.59, 2.28, 2.44, 2.36, 1.64, 1.12, -1.27, -1.54, -2.76, 
##     -3.02, -2.78, -2.68, -2.59, -2.42, -2.12, 0.92, 1.16, 1.24, 
##     2.34, 2.89, 3.12, 2.42, 2.12, 2.2, 1.24, 0.96, 0.02, -0.14, 
##     -1.01, -1.25, -2.06, -3.15, -3.23, -3.34, -3.32, -3.18, -2.91, 
##     -2.84, -2.7, -2.18, -1.86, -0.93, 0.22, 0.58, 1.03, 2.54, 
##     2.84, 3.12, 3.12, 2.65, 2.87, 2.92, 2.5, 2.2, 1.89, 1.73, 
##     1, 0.61, -0.05, -0.59, -2.01, -2.31, -2.73, -2.83, -3.02, 
##     -3.08, -3.2, -3.26, -3.1, -3, -2.23, -2.44, -2.33, -0.29, 
##     0.18, 1.2, 1.38, 2.65, 2.99, 2.67, 1.96, 0.72, 0.53, 0.03, 
##     -0.87, -1, -1.96, -2.09, -2.17, -2.25, -2.63, -2.87, -2.89, 
##     -2.94, -2.86, -2.52, -2.46, -2.42, -2.36, -2.18, -1.53, -0.53, 
##     1.19, 1.77, 1.72, 2.28, 2.6, 2.5, 3.07, 3.13, 2.67, 2.67, 
##     3.16, 2.33, 2.06, 1.94, 1.4, 1.17, 0.75, 0.35, -1.17, -1.43, 
##     -1.73, -2.01, -2.78, -2.91, -3.02, -3, -3, -2.34, -2.41, 
##     -1.67, -1.43, -0.18, 0.75, 1.61, 1.81, 1.88, 2.23, 2.39, 
##     2.76, 2.73, 2.23, 2.42, 2.07, 2.2, 2.02, 2.23, 2.04, 0.61, 
##     -0.35, -1.22, -2.01, -2.7, -2.87, -3.05, -2.28, -2.14, -2.09, 
##     -1.8, -0.55, -0.79, -0.71, -0.03, -0.06, -0.05, -0.03, -0.02, 
##     0.03, 0.06, 0.03, 0.03, 0.05, 0.03, 0.03, -0.16, -0.18, -0.14, 
##     0.03, 0.11, 0.11, 0.14, 0.1, 0.03, 0.03, -0.02, -1.35, -1.46, 
##     -1.57, -2.33, -2.36, -1.94, -1.8, -1.72, -1.62, -1.57, -1.03, 
##     -0.82, 1.53, 1.49, 1.49, 1.51, 0.88, 0.82, 0.59, 0.55, 0.4, 
##     0.31, 0.22, -0.27, -0.71, -0.88, -1.19, -1.56, -0.66, -0.18, 
##     0, 0.05, 0.14, 0.21, 0.26, 0.45, 1.25, -2.6, -2.73, -2.83, 
##     -2.81, -2.68, -2.41, -2.34, -2.23, -1.25, -0.8, -0.74, -0.55, 
##     0.11, 0.05, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.13, 
##     -2.17, -2.76, -2.86, 0.31, 0.34, 0.4, 0.42, 0.4, 0.16, 0.14, 
##     0.21, 0.21, 0.29, 0.43, 0.67, 0.63, 0.37, 0.35, 0.32, 0.26, 
##     0.22, 0.19, 0.19, 0.18, 0.21, 0.19, 0.21, 0.24, 0.34, 0.29, 
##     0.27, 0.71, 0.66, 0.58, 0.42, 0.35, 0.4, 0.5, 0.66, 0.66, 
##     0.31, 0.29, 0.26, 0.22, 0.22, 0.27, 0.27, 0.24, 0.19, 0.24, 
##     0.29, 0.32, 0.43, 0.48, 0.42, 0.37, 0.26, 0.22, 0.1, 0.08, 
##     0.1, 0.31, 0.32, 0.27, 0.24, 0.26, 0.26, 0.27, 0.27, 0.27, 
##     0.27, 0.27, 0.29, 0.27, 0.26, 0.27, 0.27, 0.27, 0.26, 0.26, 
##     0.26, 0.27, 0.27, 0.26, 0.27, 0.26, 0.26, 0.27, 0.26, 0.26, 
##     0.27, 0.26, 0.24, 0.24, 0.24, 0.24, 0.24, 0.26, 0.27, 0.29, 
##     0.29, 0.29, 0.29, 0.27, 0.27, 0.27, 0.27, 0.27, 0.27, 0.26, 
##     0.26, 0.26, 0.26, 0.26, 0.27, 0.26, 0.24, 0.24, 0.26, 0.27, 
##     0.26, 0.27, 0.29, 0.32, 0.32, 0.29, 0.22, 0.27, 0.29, 0.27, 
##     0.24, 0.22, 0.19, 0.19, 0.18, 0.18, 0.13, 0.13, 0.14, 0.18, 
##     0.19, 0.27, 0.22, 0.22, 0.22, 0.26, 0.32, 0.32, 0.32, 0.32, 
##     0.31, 0.29, 0.29, 0.29, 0.29, 0.26, 0.26, 0.24, 0.22, 0.21, 
##     0.16, 0.11, 0.11, 0.14, 0.24, 0.26, 0.27, 0.26, 0.29, 0.31, 
##     0.34, 0.35, 0.31, 0.29, 0.32, 0.34, 0.39, 0.31, 0.26, 0.11, 
##     0.21, 0.21, 0.21, 0.26, 0.29, 0.26, 0.21, 0.24, 0.26, 0.27, 
##     0.27, 0.26, 0.26, 0.26, 0.26, 0.26, 0.27, 0.27, 0.27, 0.26, 
##     0.26, 0.22, 0.26, -0.63, -0.69, -0.58, 0.02, 0.13, 0.35, 
##     0.35, 0.29, 0.24, 0.21, 0.27, 0.42, 0.42, 0.51, 0.53, 0.5, 
##     0.22, 0.26, 0.29, 0.32, 0.29, 0.26, 0.21, 0.19, 0.19, 0.21, 
##     0.14, 0.24, 0.24, 0.29, 0.32, 0.35, 0.32, 0.27, 0.26, 0.24, 
##     0.32, 0.37, 0.37, 0.35, 0.34, 0.31, 0.29, 0.24, 0.22, 0.21, 
##     0.37, 0.4, 0.31, 0.26, 0.22, 0.26, 0.27, 0.19, 0.18, 0.26, 
##     0.27, 0.37, 0.5, 1.67, 1.56, 0.53, 0.53, 0.48, 0.47, 0.42, 
##     0.29, 0.26, 0.26, 0.24, 0.18, 0, 0.02, 0.18, 0.29, 0.29, 
##     0.31, 0.29, 0.27, 0.27, 0.29, 0.29, 0.27, 0.24, 0.22, 0.21, 
##     0.21, 0.21, 0.21, -1.12, 0.29, 1.06, 1.08, 1.09, 1.24, 1.32, 
##     1.59, 2.09, 2.86, 2.86, 2.94, 2.87, 1.99, 1.99, 1.75, 1.59, 
##     1.22, -0.43, -0.8, -1.12, -1.77, 1.64, 1.94, 2.15, 2.25, 
##     2.38, 2.39, 2.09, 2.01, 1.99, 1.67, 0.18, -0.05, -0.47, -0.69, 
##     -0.85, -1.2, -1.45, -1.27, -1.46, -1.49, -1.45, -1.36, -1.3, 
##     -1.27, -1.32, -0.95, -0.4, -0.1, 0.75, 1.38, 1.49, 2.06, 
##     2.36, 2.36, 2.31, 2.28, 2.28, 2.49, 2.17, 1.33, 1.3, 1.11, 
##     0.96, 0.61, -0.88, -1.57, -1.57, -1.38, -1.35, -1.32, -1.01, 
##     -1.09, -1.03, -0.93, -0.58, -0.35, 0.5, 1.45, 1.57, 1.75, 
##     1.8, 1.91, 1.85, 1.96, 2.01, 1.98, 1.94, 1.93, 1.93, 1.83, 
##     1.86, 1.32, 1.28, -0.26, -1.3, -1.4, -1.53, -1.64, -1.83, 
##     -1.69, -1.43, -1.28, -1.33, -1.2, -1.06, -1.2, -0.82, -0.74, 
##     -0.63, 0.47, 0.58, 0.69, 0.83, 1.01, 1.06, 1.19, 1.2, 1.41, 
##     1.46, 1.57, 1.67, 1.73, 1.99, 2.07, 1.94, 2.02, 1.98, 1.85, 
##     1.72, 1.69, 1.49, 1.46, 1.53, 1.25, 1.38, 1.12, 0.58, 0.39, 
##     0.22, -0.18, -0.29, -0.39, -0.5, -0.66, -0.74, -0.92, -0.96, 
##     -1.17, -1.56, -1.57, -1.51, -1.41, -1.32, -1.32, -1.32, -1.46, 
##     -1.54, -1.22, -0.92, -0.87, -0.96, 1.75, 1.65, 1.72, 1.75, 
##     1.73, 1.51, 1.48, 1.51, 1.45, 0.96, 0.88, -0.77, -0.87, -1, 
##     -1.51, -1.77, -1.81, -1.86, -1.77, -1.7, -1.49, -1.51, -1.62, 
##     2.39, 2.36, 2.38, 2.2, 2.07, 1.94, 1.85, 1.86, 1.69, 1.61, 
##     1.49, 1.53, 1.46, 1.17, 1.06, 1, 1.09, 1.03, 0.56, 0.47, 
##     0.42, 0.35, 0.1, -0.56, -0.72, -0.9, -1.38, -1.46, -1.98, 
##     -2.49, -2.54, -1.35, -1.04, -0.87, -0.55, -0.51, -0.51, -0.22, 
##     0.35, 0.34, 0.34, 0.37, 0.5, 0.59, 0.69, 0.82, 0.96, 1.28, 
##     1.73, 1.86, 1.98, 2.06, 2.04, 2.07, 2.06, 2.12, 2.26, 2.2, 
##     2.22, 2.06, 1.72, 1.35, 1.25, 1.09, 1.04, 0.96, 0.67, -0.79, 
##     -0.75, -0.69, -0.63, -0.55, -0.29, 0.08, 0.95, 1.14, 1.32, 
##     1.49, 1.61, -1.75, -2.01, -2.02, -1.91, -1.8, -1.75, -1.93, 
##     -2.1, -1.64, -1, -0.59, -0.27, 0, 0.34, 0.95, 1.01, 1.16, 
##     1.2, 1.3, 1.45, 1.4, 0.1, 0.19, 0.26, 0.29, 0.26, 0.24, 0.22, 
##     0.24, 0.27, 0.29, 0.29, 0.26, 0.08, 0.13, 0.13, 0.16, 0.14, 
##     0.05, 0.02, 0.02, -0.05, -0.18, -0.35, -0.42, -0.47, -0.56, 
##     0.34, 0.39, 0.24, 0.27, 0.24, 0.24, 0.22, 0.24, 0.24, 0.24, 
##     0.26, 0.02, 0.05, 0.16, 0.22, 0.37, 0.42, 0.35, 0.27, 0.26, 
##     0.27, 0.24, 0.31, 0.34, 0.02, 0, 0.02, 0, 0.02, 0.02, -0.02, 
##     0, 0, -0.02, 0, 0.02, 0.02, 0, 0, 0.02, -0.02, 0, -0.02, 
##     -0.02, -0.03, -0.02, -0.02, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.03, 0.05, -0.03, -0.02, 1.54, 1.93, 2.54, 2.68, 
##     3.34, 2.26, 1.73, -0.83, -1.14, -1.46, -1.69, -2.97, -3.16, 
##     -3.28, -3.79, -3.73, -3.47, -3.18, -2.07, -1.91, 2.68, 2.31, 
##     2.15, 2.1, 2.12, 2.02, 1.56, 1.38, 1.24, 0.34, 0.34, 0.32, 
##     0.27, 0.18, 0.14, 2.44, 2.3, 1.91, 1.94, 1.81, 1.67, 1.54, 
##     1.36, 1.25, 1.16, 0.85, 0.71, 0.61, 0.53, 0.43, 0.4, 1.78, 
##     1.88, 2.2, 2.47, 2.47, 2.33, 2.23, 2.39, 2.25, 2.31, 2.18, 
##     2.3, 2.15, 1.06, 1.04, 0, 0, -0.02, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 
##     -0.02, -0.02, -0.02, 0.59, 0.47, 1.04, 0.55, 0.59, 0.75, 
##     0.77, 0.72, 0.19, 0.11, 0.11, 0.1, 0.05, 0.02, 0.02, -0.03, 
##     0.29, 0.05, -0.02, 0, 0.59, 0.72, 0.74, 0.74, 0.5, 0.37, 
##     0.18, 0.18, 0.18, 0.31, 0.37, 0.39, 0.34, 0.39, 0.66, -0.5, 
##     -0.43, -0.56, -0.35, -0.27, -0.47, -0.56, -0.13, 0.16, 0.39, 
##     0.71, 0.55, 1.83, 1.91, 1.62, 1.41, 1.32, 1.46, 0.56, 0.48, 
##     0.37, -0.31, -0.35, -1.67, -2.14, -2.26, 1.56, 2.17, 2.28, 
##     1.91, 1.7, 1.78, 1.78, 1.61, 1.57, 1.25, 0.51, 2.26, 2.28, 
##     1.56, 1.24, 1.03, 0.82, 0.67, 0.18, -0.19, -2.87, -2.87, 
##     -2.87, -2.86, -2.79, 0.37, 1.94, 1.86, 1.33, 1.3, 1.25, 1.24, 
##     1.12, 0.72, 0.71, -0.51, -1.7, -1.83, -2.34, -2.63, -2.7, 
##     -0.05, -0.05, 1.69, -0.22, -1.72, -1.99, -2.17, -2.3, -2.86, 
##     -2.97, -3.12, -3.15, -3.03, -2.91, -2.67, -2.47, -2.44, -2.47, 
##     1.4, 1.04, 0.79, 0.69, 0.1, -0.11, -0.31, -0.29, -0.26, -0.24, 
##     -0.22, -0.24, -0.26, -0.24, -0.26, -0.26, -0.21, -0.22, -0.21, 
##     -0.18, -0.19, -0.27, -1.08, -1.43, -2.09, -2.22, -2.7, -3.15, 
##     -3.36, -3.48, -3.36, -3.24, -3.32, -3.32, -3.03, -0.13, 0.67, 
##     1.65, 1.99, 2.46, 2.92, 3.05, 2.94, 2.33, 2.52, 2.39, 2.62, 
##     2.63, -3.55, -3.52, -3.45, -3.28, -1.85, 0.06, 1.11, 1.8, 
##     2.02, 2.65, 2.67, 2.75, 2.55, 2.59, 2.52, 2.39, 2.2, 2.39, 
##     2.28, 2.02, 1.83, 1.64, 1.12, 0.85, 0.31, 0.22, -0.13, -0.61, 
##     -1.25, -2.7, -2.99, -3.08, -3.15, -3.48, -3.55, -3.55, -3.4, 
##     -3.55, -3.6, -0.9, 1.03, 2.2, 2.23, 2.36, 2.39, 2.54, 2.62, 
##     2.76, 2.73, 2.41, 2.22, 2.06, 1.83, 1.61, 1.48, 0.56, -2.81, 
##     -3.26, -3.73, -3.61, -3.68, -3.76, -3.52, -3.36, -2.15, 1.69, 
##     2.6, 2.7, 2.86, 3.6, 3.58, 3.29, 1.22, 0.77, 0.58, 0.1, -1.3, 
##     -2.22, -2.76, -3.32, -4.06, -4.17, -4.34, -4.16, -3.15, -2.97, 
##     1.43, 2.02, 2.2, 2.36, 2.62, 3.2, -3.26, -3.5, -4.05, -4.27, 
##     -4.13, -4.03, -3.63, -3.31, -3.2, -2.55, 0.24, 2.04, 2.5, 
##     2.94, 2.99, 3.24, 3.16, 2.84, 1.73, 1.78, 1.46, 0.9, 0.61, 
##     -0.13, -0.19, -0.82, -1.41, -2.23, -3.63, -3.92, -4.16, -4.03, 
##     -4.06, -4.09, -4, -1.98, 0.92, 1.86, 2.22, 2.6, 3.1, 2.86, 
##     2.22, 2.07, 1.99, 1.96, 1.99, 0.79, 0.71, 0.48, 0.27, -1.7, 
##     -4.11, -3.97, 1.36, 0.06, -0.42, -1.06, -1.49, -1.65, -1.8, 
##     -1.94, -2.39, -2.76, -3.95, -4.24, -4.3, -4.24, -4.21, -3.89, 
##     -3.66, -3.61, -3.4, -3.16, 1.3, 2.02, 2.34, 2.39, 2.6, 3.02, 
##     3.34, 3.48, 3.56, 3.53, 2.34, 2.2, 1.91, 0.05, -0.1, -0.55, 
##     -0.77, -1.14, -1.57, -2.18, -2.54, -3.56, -3.71, -3.77, -3.97, 
##     -3.97, -4, -3.97, -3.92, -3.89, -3.89, -3.5, -1.91, -1.27, 
##     1.73, 3.02, 2.62, 2.5, 2.36, 2.3, 2.02, 2.75, 2.62, 2.52, 
##     2.46, 1.96, 1.36, 1.14, 0.93, 0.87, 0.72, 0.69, 0.55, 0.43, 
##     0.31, 0.18, -0.1, -0.34, -0.42, -0.35, -0.35, -0.1, 0.05, 
##     0.06, 0.05, 0.16, 0.16, 0.1, 0.06, 0.05, 0.06, 0.1, -0.03, 
##     -0.08, -0.06, -0.05, -0.03, -0.02, 0, 0.03, 0.03, 0, 0.02, 
##     0.03, 0.05, 0.06, 0.08, 0.06, 0.05, 0.05, 0.05, 0.03, 0.03, 
##     0, 0, -0.02, -0.02, -0.08, -0.06, -0.08, -0.1, -0.06, -0.05, 
##     -0.06, -0.13, -0.08, -0.03, 0.05, -0.03, -0.11, -0.27, -0.34, 
##     -0.47, -0.58, -0.66, -0.96, -1.08, -1.24, -1.83, -1.99, -2.14, 
##     3.52, 3.56, 3.66, 3.63, 3.48, 3.32, 3.18, 3.07, 2.89, 2.73, 
##     2.63, 1.99, 1.53, 1.24, 1.19, 0.87, 0.45, 0.31, 0.16, -0.24, 
##     -1.36, -2.34, -3.07, -3.2, -3.61, -3.84, -4.26, -4.3, -4.46, 
##     -4.08, -3.48, -3.1, -3.07, -3.02, -2.42, -2.06, 1.25, 2.65, 
##     3.26, 3.26, 3.34, 3.31, 3.2, 3.21, 3.12, 3.03, 2.86, 2.78, 
##     2.7, -2.67, -3.02, -3.89, -4, -4.17, -4.19, -4.01, -3.55, 
##     -3.47, -3.34, -3.21, -3.1, -2.99, -2.7, -2.67, -2.06, 1.78, 
##     2.41, 2.54, 3.16, 3.53, 3.55, 3.52, 3.48, 3.48, 3.52, 3.31, 
##     3.08, 2.87, 2.84, 3, 3.15, 3.15, 2.97, 2.79, 1.77, 0.83, 
##     0.74, 0.51, 0.39, 0.22, 0.1, -0.08, -0.64, -1.43, -2.12, 
##     -3.32, -3.61, -4.16, -3.73, -3.52, -3.44, -3.32, -2.95, -2.86, 
##     -2.89, -2.67, -2.42, -1.48, -0.66, 1.72, 2.42, 2.55, 2.68, 
##     3.63, 3.66, 3.69, 3.63, 3.58, 3.52, 3.52, 3.48, 3.32, 3.16, 
##     2.28, 0.87, -0.56, -1.62, -1.93, -4.34, -4.27, -4.17, -4.03, 
##     -3.68, -3.5, -3.37, -3.08, -2.71, -2.68, -2.62, -1.89, -0.5, 
##     2.07, 2.7, 3.13, 3.55, 3.44, 3.28, -4.06, -4.14, -4.13, -4.06, 
##     -4.01, -3.92, -3.74, -3.71, -3.5, -3.34, -3.31, -3.28, -3.28, 
##     -3.08, -2.91, -2.65, -2.26, -1.93, 1.43, 1.99, 3.05, 3.1, 
##     3.6, 3.82, 2.94, 2.79, 2.84, 2.92, 1.3, 1.14, 0.63, 0.16, 
##     -0.87, -1, -1.4, -3.1, -3.53, -3.71, -4.16, -4.14, -3.97, 
##     -3.92, -3.82, -3.77, -3.74, 1.75, 2.15, 2.42, 2.54, 2.33, 
##     2.44, 2.42, 2.23, 2.23, 1.94, 1.83, 1.36, 1.35, 0.95, 0.9, 
##     0.56, 0.5, 0.47, 0.21, -0.06, -0.27, -0.63, -1.62, -2.71, 
##     -2.81, -2.95, -2.95, -3.1, -3.05, -2.83, -2.62, -2.39, -0.11, 
##     2.26, 2.46, 2.54, 2.55, 2.42, 2.3, 2.14, 2.07, 1.99, 1.98, 
##     1.98, 1.98, 1.94, 1.88, 1.16, 1.12, 1.04, 0.63, 0.51, -1.01, 
##     -1.27, -2.52, -3.32, -3.08, -1.89, -1.93, -2.1, -1.99, -1.83, 
##     -1.57, -1.22, 0.74, 1.09, 1.8, 1.99, 2.15, 2.22, 2.57, 2.55, 
##     2.44, 2.26, -3.13, -3, -2.87, -2.83, -2.62, -2.44, -2.18, 
##     -2.01, -2.07, -1.96, -1.7, -0.27, 0.92, 1.16, 1.28, 1.88, 
##     1.96, 2.12, 2.23, 2.31, 2.3, 2.36, 2.06, 1.48, 1.43, 1.06, 
##     0.47, -1.38, 1.2, 1.28, 1.51, 1.83, 1.86, 2.07, 2.15, 2.23, 
##     2.49, 2.6, 2.78, 2.25, 2.07, 2.01, 1.77, 1.46, 1.4, 1.2, 
##     0.95, 0.32, 0.24, 0.18, -0.14, -0.03, -0.02, 0, 0.02, 0.03, 
##     0.05, 0.05, 0.06, 0.03, 0.02, 0, 0, -0.02, -0.02, -0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 2.92, 3.1, 3.03, 3.08, 
##     3.02, 3.02, 2.89, 2.67, 2.57, 1.27, 0.53, 0.11, -0.19, -1.28, 
##     3.24, 3, 2.91, 2.78, 2.39, 2.17, 2.18, 2.15, 1.99, 1.2, 0.8, 
##     0.4, -0.96, -2.47, -3.08, -4.45, -4.62, -4.66, -4.72, -3.81, 
##     -3.58, -3.44, -2.78, -1.09, -0.45, -0.13, -1.64, -2.04, -2.65, 
##     -2.84, -3.16, -3.58, -3.69, -3.61, -1.93, -1.65, -1.28, 0.66, 
##     1.24, 1.73, 2.22, 2.86, 3.2, 3.21, 2.5, 2.25, 2.2, 2.15, 
##     1.73, 1.59, -1.54, -2.06, -3.05, -4.17, -4.13, -3.73, -3.2, 
##     2.17, 2.14, 2.12, 2.2, 2.28, 2.17, 1.81, 1.62, 1.01, 0.85, 
##     0.55, 0.14, -1.32, -1.93, -2.89, 2.65, 3.4, 3.53, 3.58, 3.48, 
##     2.92, 2.75, 2.5, 2.15, 2.06, 2.06, 2.04, 2.06, 1.48, 1.03, 
##     0.67, 0.5, -1.54, -1.83, -2.71, -4.03, -4.08, -3.98, -3.74, 
##     -3.64, -3.42, -2.47, -2.39, -2.31, -2.28, -0.8, 0.06, 0.98, 
##     2.02, 2.2, 2.87, 3.12, 3.1, 3.15, 2.84, 2.65, 2.55, 2.46, 
##     2.3, 2.09, 1.91, 1.06, 2.65, 2.33, 2.83, 2.83, 2.41, 2.34, 
##     2.46, 2.31, 2.01, 2.09, 1.88, 1.24, 0.58, 0.11, 0.05, -0.08, 
##     -1.03, -1.27, -1.54, -2.15, 3.12, 2.57, 2.44, 2.34, 1.22, 
##     0.02, -0.67, -1.57, -1.81, -3.13, -3.31, -3.64, -3.48, -3.32, 
##     -2.86, -1.62, -0.79, 0.18, 0.42, 0.74, 0.71, 0.83, 2.87, 
##     2.28, 2.28, 2.22, 1.65, 1.24, 1.16, 0.59, -0.37, -0.58, -0.55, 
##     -0.48, -0.16, 0.03, 0.03, 0.02, 0.02, 0.05, 0.03, 0.02, 0.02, 
##     0.02, 0.02, 0.03, 0.03, 0.05, 0.03, 0.03, 0.03, 0.05, 0.02, 
##     -0.21, -0.51, -1.61, -1.91, -3.95, -4.37, -4.51, -4.67, -4.54, 
##     -3.68, -3.5, -1.45, -0.59, 0.39, 1.78, 2.2, 2.52, 3.84, 3.73, 
##     3.82, 3.76, 3.6, 2.79, 2.26, 1.01, 0.47, -2.79, -4.16, -4.75, 
##     -4.96, -4.99, -4.98, -4.61, -3.87, -2.49, -1.81, -1.51, -1.12, 
##     1.3, 3.23, 3.29, 3.39, 3.73, 3.79, 2.54, 1.14, 0.85, 0.71, 
##     -0.31, -1.2, 3.95, 3.74, 3.77, 3.66, 3.74, 3.45, 3.26, 2.55, 
##     1.88, 0.95, 0.74, 0, -1.99, -4.51, -4.24, -4.29, -2.26, -1.81, 
##     -1.14, 0.5, 1.67, 2.54, 2.71, 3.05, 3.66, 3.76, 4, 3.84, 
##     3.44, 2.91, 2.62, 2.31, -0.03, -0.53, -1.28, -3.48, -3.79, 
##     -4.67, -4.78, -5.01, -4.53, -4.42, -3.79, -3.63, -3.53, -2.71, 
##     -2.38, 0.22, 0.75, 2.17, 3.21, 3.48, 4, 4, 3.69, 2.79, 2.54, 
##     0.72, 0.5, 0.13, -2.59, -2.94, -4.66, -4.78, -5.31, -4.32, 
##     -4.14, -3.93, -3.4, -2.6, -1.61, -2.38, -3.37, -3.73, -4.03, 
##     -4.64, -5.01, -4.37, -3.13, -2.92, 0.32, 1.45, 1.93, 3.21, 
##     3.24, -5.04, -4.58, 1.61, 1.85, 2.57, 2.63, 2.71, 2.5, 2.34, 
##     1.57, 1.46, 1.41, 1.2, 1.09, 0.39, 0.35, 0.31, 0.32, 0.32, 
##     0.31, 0.29, 0.27, 0.35, 0.47, 0.48, 0.48, 0.47, 0.48, 0.48, 
##     0.47, 0.42, 0.34, 0.32, 0.31, 0.16, 0.18, 0.1, -0.08, -0.18, 
##     -0.24, -2.26, -2.7, -3.12, -3.56, -3.74, -3.85, -3.92, -3.87, 
##     -3.77, -3.52, -3.1, -2.84, -2.7, -2.44, -2.09, -1.2, -0.61, 
##     -0.32, -0.22, 1.2, 1.46, 2.06, 2.23, 2.84, 3.73, 3.48, 3.32, 
##     3.24, 3.1, 2.46, 1.78, 1.03, 0.18, -0.98, -1.32, -1.64, -2.3, 
##     -2.41, -2.78, -2.86, -3.23, -3.31, -3.26, -3.18, -2.81, -2.47, 
##     -2.39, -1.93, -1.89, -1.64, -1.43, -1.11, -1.03, -1, 2.63, 
##     2.39, 2.46, 2.09, 1.51, 1.36, 1.2, 1.35, 1.03, 0.87, 0.83, 
##     0.77, 0.31, 0.19, 0.05, -0.21, -0.48, -0.63, 0.69, 0.98, 
##     1.75, 3.32, 3.56, 3.4, 3.26, 3.28, 3.24, 3.12, 3.08, 2.89, 
##     2.86, 2.62, 2.41, 2.34, 1.91, 1.38, 1.35, 0.98, 0.77, 0.27, 
##     0.21, 0.02, -0.05, -0.37, -0.69, -2.41, -2.67, -3.2, -3, 
##     -2.79, -2.68, -2.59, -2.36, -2.2, -1.51, -1.08, -0.56, -0.19, 
##     -0.08, 0.14, 0.27, 0.4, 1, 1.72, 2.17, 2.62, 3.48, 3.47, 
##     3.26, 3.03, 2.89, 2.92, 2.79, 0, -0.58, -1.06, -1.73, -2.31, 
##     -2.83, -2.83, -3.07, -2.78, -2.6, -1.99, -1.85, -1.53, -1.32, 
##     -1.19, -0.98, -0.92, 1.4, 2.06, 1.03, 0.79, 0.75, 0.72, 0.72, 
##     -0.21, -0.43, -0.59, -0.98, -1.85, -1.99, -3.08, -3.56, -3.58, 
##     -3.44, -2.92, -2.65, -2.49, -2.34, -1.77, -1.54, -1.01, -0.88, 
##     -0.35, -0.02, 0.53, 0.64, 1, 1.11, 1.65, 2.84, 3.32, 2.94, 
##     2.91, 2.78, 2.7, 2.68, 2.46, 2.38, 2.42, 2.34, 1.73, 1.77, 
##     1.69, 1.64, 1.53, 0.98, 0.64, 0.42, 0.26, -0.22, -0.59, -0.9, 
##     -2.14, -3.81, -3.47, -2.65, -1.7, -1.45, -1.25, -1.11, -1.04, 
##     -0.96, -0.87, -0.71, -0.45, -0.02, 0.61, 0.72, 1.06, 1.41, 
##     1.61, 1.94, 2.17, 2.67, 2.91, 3.45, 3.44, 3.07, 3.03, 3.1, 
##     2.68, 2.76, 2.59, 2.42, 2.49, 2.49, 2.26, 2.31, 2.17, 2.09, 
##     1.64, 1.2, 0.95, 0.58, 0.5, 0.4, 0.31, 0.27, 0.24, 0.21, 
##     0.19, 0.16, -1.85, -2.23, -2.62, -2.47, -1.77, -1.67, -1.41, 
##     -1.35, -1.19, -1.19, -1.16, -0.58, -0.14, 0.02, 0.4, 0.69, 
##     1.27, 2.46, 2.94, 3.39, 3.71, 3.71, 3.58, 3.68, 3.39, 3.15, 
##     2.81, 2.76, 1.88, 1.81, 1.8, 1.69, 1.12, 1.12, 2.76, 2.25, 
##     1.25, 1.12, 0.71, 0.59, 0.56, 0.53, 0.45, -1.17, -1.45, -2.1, 
##     -3.1, -3.2, -3.02, -2.89, -2.7, -2.67, -2.57, -2.31, -2.04, 
##     -1.65, -1.51, -1.4, -1.36, -1.33, -1.24, -1.16, -0.53, -0.05, 
##     0.51, 0.64, 0.77, 1.01, 1.65, 2.23, 2.63, 3.03, 3.5, 3.44, 
##     1.03, 0.71, 0.66, 0.63, 0.59, 0.4, 0.37, 0.34, 0.34, 0.37, 
##     0.37, 0.37, 0.37, 0.37, 0.39, 0.39, 0.39, 0.37, 1.86, 2.07, 
##     1.96, 2.04, 2.06, 2.07, 1.93, 1.59, 1.25, 0.13, 0.03, -0.31, 
##     -1.12, -1.28, -1.61, -1.85, -1.98, -2.36, -2.44, -2.2, -2.15, 
##     -2.07, -1.94, -1.7, -1.54, -0.95, -1.17, -1.14, -0.92, -0.93, 
##     -0.82, -0.66, -0.1, 0.34, 0.42, 0.59, 0.66, 0.88, 1.01, 1.73, 
##     1.81, 2.1, 2.38, 0.43, 0.22, 0.03, -0.29, -1.24, -2.06, -2.01, 
##     -1.81, -1.77, -1.51, -1.38, -1.25, -1.2, -1.09, -0.98, -1, 
##     -0.87, -0.82, -0.8, -0.79, -0.79, -0.77, -0.53, -0.26, 0.37, 
##     0.59, 0.71, 0.95, 1.46, 1.86, 2.15, 2.1, 2.22, 1.99, 1.91, 
##     1.85, 1.77, 1.73, 1.4, 1.38, 1.36, 1.43, 1.41, 1.33, 1.27, 
##     1.09, 1.11, 1.12, 1.3, 1.04, 0.96, -0.13, -0.32, -0.42, -1.62, 
##     -1.98, -1.96, -1.88, -1.75, -1.14, -0.75, -0.53, -0.92, -0.87, 
##     -0.92, -0.88, -0.69, -0.51, 0.93, 1.22, 1.41, 1.89, 1.88, 
##     1.96, 1.91, 1.91, 1.99, 1.94, 1.59, 1.46, 1.48, 1.4, 1.48, 
##     1.43, 1.12, 0.56, 0.48, 0.4, 0.34, 0.03, -0.45, -0.72, -1.19, 
##     -1.36, -1.45, -1.65, -1.8, -1.85, -1.94, -0.13, 0.06, 0.13, 
##     0.37, 0.67, 0.87, 1.2, 1.27, 1.32, 1.3, 1.3, 1.33, 1.35, 
##     1.35, 1.41, 1.54, 1.51, 1.57, 1.7, 1.81, 0.39, 0.37, 0.29, 
##     0.26, 0.24, 0.24, 0.18, 0.18, 0.19, -1.25, -2.65, -2.71, 
##     -2.7, -2.71, -2.7, -2.68, -2.59, -2.38, -2.09, -2.01, -1.99, 
##     -0.87, -0.05, 0.22, 0.58, 0.64, 1.49, 1.78, 2.14, 2.7, 2.87, 
##     3.18, 3.4, 3.58, 3.6, 2.83, 2.71, 2.75, 2.57, 2.52, 1.19, 
##     1.08, 0.1, -0.1, -1.36, -1.57, -1.96, -2.09, -2.2, -2.33, 
##     -2.94, -2.94, -2.47, -2.1, -2.12, -2.09, -1.43, -1.36, -1.3, 
##     -1.22, -1.19, -0.79, -0.55, -0.08, 0.8, 1.03, 1.72, 1.8, 
##     1.85, 2.2, 2.5, 2.78, 3.24, 3.32, 3.52, 3.45, 3.39, 3.12, 
##     2.87, 2.76, 2.76, 2.31, 2.01, 1.86, 1.36, 1.28, 0.8, 0.66, 
##     0.56, -0.1, -0.26, -0.45, -1.49, -2.34, -2.97, -2.86, -2.83, 
##     -2.76, -2.31, -1.93, -1.88, -1.7, -1.33, -1.19, -1, -0.93, 
##     -0.93, 2.68, 2.67, 2.68, 2.57, 2.6, 2.68, 2.34, 2.07, 1.91, 
##     1.81, 1.43, -0.34, -0.66, -1.4, -2.39, -2.67, -2.87, -3.4, 
##     -3.26, -3.15, -2.92, -2.33, -2.2, -2.02, -1.64, -1.35, -1.24, 
##     -1.25, -1.33, -1.28, -1.22, -0.35, 0.48, 0.59, 0.79, 0.83, 
##     0.88, 0.96, 1.06, 1.48, 1.59, 1.69, 2.25, 2.39, 2.78, 2.87, 
##     2.92, 2.7, 2.68, -0.42, -0.71, -0.96, -1.56, -2.17, -2.22, 
##     -2.23, -2.12, -1.89, -1.85, -1.78, -1.59, -1.56, -1.53, -1.53, 
##     -1.53, -1.54, -0.79, 0.55, 0.66, 0.72, 2.26, 2.34, 2.44, 
##     2.73, 2.81, 2.94, 3.03, 3.03, 3.03, 2.86, 2.7, 2.73, 2.71, 
##     2.65, 2.55, 2.46, 2.3, 2.18, 2.12, 1.48, 1.38, 0.35, 0.26, 
##     -0.26, -2.04, -2.42, -2.49, -2.46, -2.23, -2.17, -1.73, -1.62, 
##     -1.38, -1.17, -1.06, -0.29, 0.95, 1.11, 2.12, 2.1, 2.06, 
##     2.18, 2.33, 2.79, 2.87, 3.08, 3.23, 3.36, 3.28, 3.23, 3.08, 
##     2.87, 2.59, 2.04, 1.65, 1.64, 1.27, 1.14, 0.47, 0, -0.69, 
##     -1.45, -1.88, -2.18, -2.31, -2.52, -2.62, -2.67, -2.67, -2.67, 
##     -2.52, -2.46, -2.12, -2.06, -1.96, -1.86, -1.65, 0.45, 0.42, 
##     0.37, -0.9, -0.82, -0.77, -0.61, -0.5, 0, 0.26, 0.42, 0.51, 
##     1, 1.3, 1.69, 1.73, 1.73, 1, 0.93, 0.88, 0.92, 0.98, 0.79, 
##     0.64, 0.59, 0.56, 0.56, 0.56, 0.58, 0.59, 0.5, 0.4, 0.22, 
##     0.11, -0.32, -0.51, -1.46, -1.77, -2.28, -2.38, -2.46, -2.47, 
##     -2.22, -2.01, -1.91, -1.78, -1.56, -0.95, -0.55, -0.24, -0.18, 
##     0.24, 0.43, 0.45, 0.42, 0.43, 0.43, 0.45, 0.48, 0.5, 0.48, 
##     0.5, 0.53, 0.61, 0.71, 0.74, 0.71, 0.45, 0.39, 0.45, 0.66, 
##     1.17, 2.63, 2.33, 1.51, 1.32, 1.3, 1.11, 1.03, 0.8, 0.51, 
##     0.22, 0.08, -0.24, 0.21, 0.87, 1.17, 1.48, 1.62, 1.77, 1.89, 
##     1.94, 2.28, 2.41, 2.57, 2.62, 2.65, 2.81, 2.73, 2.71, 1.59, 
##     1.53, 1.51, 1.59, 1.27, 1.27, 1.28, 1.27, 1.17, 0.92, 0.58, 
##     -2.02, -1.99, -1.89, -1.93, -2.07, -1.75, -0.93, -0.85, -0.79, 
##     -0.72, -0.72, -0.75, -0.77, -0.72, -0.35, 2.42, 2.41, 2.36, 
##     2.28, 1.96, 1.45, 1.45, 1.45, 1.45, 1.35, 0.8, 0.71, 3.95, 
##     4.11, 2.36, 1.73, 1.41, -0.14, -0.35, -0.82, -4.29, -4.51, 
##     -4.95, 0.66, 1.59, 2.25, 3.05, 3.16, 3.66, 3.82, 4.05, 3.76, 
##     3.21, 3.03, 3.02, 0.71, 0.32, -1.38, -4.01, -4.22, -4.58, 
##     -4.62, -4.37, -3.97, -3, -2.87, -1.69, -1.41, 1, 2.01, 2.5, 
##     2.97, 3.18, 0.02, -0.02, 0.02, 0.13, 0.1, 0.03, 0.06, 0.1, 
##     0.08, 0.06, 0.05, 0.03, 0.05, 0.06, 0.05, -2.68, -2.83, -3.2, 
##     -3.26, -3.23, -3.12, -3.05, -3.05, -2.94, -2.86, -2.78, -2.44, 
##     0.47, 1.22, 1.36, 1.86, 2.02, 2.22, 3, 2.97, 3.18, -3.4, 
##     -3.15, -2.99, -2.65, -1.01, 1.33, 2.92, 3.1, 3.24, 3.32, 
##     3.77, 4.05, 4.21, 4.16, 4.06, 4.09, 3.24, 3.21, 3.37, 3.39, 
##     3.39, 1.53, 1.12, 1, 0.37, 0.22, 0.06, -0.93, -1.36, -2.79, 
##     -3.44, -3.64, -3.77, -3.87, 2.46, 1.72, 1.53, 1.24, 1, 0.56, 
##     0.08, -0.02, -0.1, -0.55, -2.04, -2.95, -3.45, -3.85, -4.46, 
##     -4.54, -4.59, -4.45, -3.77, -3.58, -3.08, -2.83, -2.26, -1.75, 
##     -1.04, 0.45, 2.31, 2.6, -3.85, -3.81, -3.93, -3.16, -2.6, 
##     -2.01, -0.35, 1.61, 2.06, 2.42, 2.86, 2.89, 1.09, 0.63, 0.48, 
##     0.16, -0.02, -0.21, -0.27, -0.4, -0.63, -1.11, -1.33, -1.46, 
##     -2.28, -3.26, -3.5, 0.02, 1.61, 2.38, 2.73, 2.83, 3.4, 3.39, 
##     2.79, 2.73, 2.42, 2.07, 2.09, 3.44, 3.26, 3.32, 2.59, 2.76, 
##     2.75, 2.57, 0.55, 0.51, 0.45, -0.53, 1.17, 0.1, -0.11, -0.27, 
##     -1.2, -3.36, -3.47, -3.53, -3.95, -3.92, 1.83, 1.67, -0.06, 
##     -0.58, -2.62, -3.79, -3.9, -3.97, -4.05, -4.11, -4.09, -3.23, 
##     -4.01, -4.4, -4.34, -4.22, -4.13, -3.84, -3.69, -3.5, -3.37, 
##     -3.2, -3.07, -2.92, -2.57, -1.64, 0.82, 1.62, 1.86, -2.97, 
##     -2.71, -2.33, -1.91, -1.3, 0.39, 0.75, 1.27, 1.98, 2.33, 
##     2.41, 2.84, 3.08, 2.84, 3, 3.12, 3.21, 3.32, 3.37, 2.92, 
##     2.46, 2.42, 2.57, 2.63, 1.46, -4.53, -4.58, -4.29, -4.17, 
##     -4.08, -3.77, -3.2, -2.84, -1.54, -0.88, 1.35, 2.3, 2.54, 
##     -3.89, -3.9, -3.85, -3.48, -3.29, -3.12, -2.06, -1.35, 1.56, 
##     2.25, 2.54, 2.67, 2.97, -0.06, -0.06, -0.02, 0.03, 0.03, 
##     0, -0.02, -0.05, -0.1, -0.16, -0.69, -1.64, -2.31, -2.83, 
##     -3, -3.23, -3.76, -4.05, -1.69, -1.99, -2.78, -2.86, -2.95, 
##     -2.87, -2.65, -2.5, -2.39, -2.3, -2.18, -2.12, -2.02, -1.94, 
##     -1.75, -1.41, -0.53, 0.18, 0.45, 2.18, 2.09, 1.88, 1.83, 
##     1.3, 1.2, 1.14, 0.74, -0.22, -1.69, -2.02, -2.55, -3.24, 
##     2.09, 2.86, 2.95, 3.03, 3.2, 3.26, 3.28, 2.95, 2.55, 2.65, 
##     2.63, 2.62, 2.25, 0.9, 0.03, -0.63, -0.69, -0.93, -0.96, 
##     -1.19, -1.64, -1.89, -1.98, -2.07, -2.12, -2.15, -1.98, -1.51, 
##     -1, -0.48, -0.13, -0.03, 0.35, 1, 1.56, 1.69, 1.65, 1.7, 
##     1.62, 1.61, 1.28, 1.25, 1.16, 0.02, -0.35, -0.55, -0.61, 
##     -0.74, -0.87, -1.01, -1.61, -1.89, -2.01, -2.02, -2.23, -2.46, 
##     -2.7, -2.75, -2.41, -1.96, -1.77, -1.59, -1.14, -0.51, -0.13, 
##     0.26, 0.37, 0.53, 1.25, 1.61, 1.75, 1.64, 1.49, 1.72, 1.77, 
##     1.11, 1.08, 1.01, 1, 0.95, 0.87, 0.55, 0.24, 0.18, 0, -0.11, 
##     -0.31, -0.32, -0.35, -0.48, -0.58, -1.06, -1.2, -1.49, -1.8, 
##     -2.26, -2.3, 1.73, 1.61, 1.69, 1.51, 1.62, 1.64, 1.67, 1.27, 
##     1, 0.71, 0.1, 0.08, 0.02, -0.22, -0.31, -1.14, -1.64, -2.06, 
##     -2.17, -2.25, -2.62, -2.65, -2.86, -2.86, -2.78, -2.47, -2.41, 
##     -1.36, -0.67, -0.32, 0.19, 0.4, 0.64, 1.14, 1.24, 1.54, 1.56, 
##     1.61, 1.64, 1.16, 0.61, 0.43, 0.26, -0.18, -0.22, -0.34, 
##     -0.35, -0.77, -1.2, -1.62, -1.77, -2.1, -2.54, -2.52, -2.54, 
##     0.93, 1.06, 1.12, 1.53, 2.01, 1.91, 2.2, 2.17, 2.06, 2.04, 
##     1.89, 1.75, 1.43, 1.11, 1.03, -0.18, -0.29, -0.4, -0.72, 
##     -0.96, -1.2, -1.3, -1.86, -2.3, -2.36, -2.34, -2.39, -2.12, 
##     -2.12, -2.02, -1.64, 0.32, 0.5, 0.71, 1.03, 1.08, 1.3, 1.48, 
##     1.61, 1.69, 1.77, 1.56, 1.04, 0.87, 0.82, 0.66, 0.63, 0.27, 
##     -1.33, -1.77, -2.25, -2.36, -2.41, -2.68, -2.76, -2.78, -2.62, 
##     -0.9, -0.51, 0.05, 1.09, 1.62, 1.57, 1.64, 1.72, 1.62, 1.65, 
##     1.38, 1.04, 1, 0.85, 0.72, 0.55, 0.35, -0.63, -0.79, -1, 
##     -1.43, -1.78, -2.28, -2.55, -2.67, -2.73, -2.84, -2.38, 3.5, 
##     2.62, 1.45, -1.77, -4.14, -4.37, -4.37, -4.03, -3.97, -3.77, 
##     -3.55, -3.48, -3.4, -3.23, -3.13, -2.65, -2.26, -2.04, -1.22, 
##     -0.63, 0.92, 2.52, 2.89, 3.53, 3.9, 4.17, 3.47, 3.4, 3.21, 
##     3.23, 3.16, 2.89, 2.46, 1.78, 1.77, -0.4, -2.89, -3.39, -3.6, 
##     -3.89, -4, -4.27, -4.38, -4.45, -3.45, -3.45, -2.83, -2.62, 
##     -2.2, 1.3, 1.86, 2.46, 3.47, 3.6, 3.82, 3.89, 4.17, 4.14, 
##     4.01, 3.92, 2.78, 2.81, 3.07, 3.23, 3.32, 3.37, 2.23, 0.26, 
##     0.03, -0.4, -1, -2.06, -2.38, -3.53, -3.66, -4.17, -4.26, 
##     -4.29, -4.34, -4.13, -4.06, -3.6, -3.55, -2.54, -2.46, -2.17, 
##     -1.96, -0.8, 0.48, 1.08, 1.89, 2.52, 2.67, 3.2, 3.31, 4, 
##     3.93, 3.69, 3.44, -0.06, -0.27, -0.85, -1.83, -2.1, -2.86, 
##     -2.89, 0.93, 0.67, 0.53, 0.47, 0.26, 0.16, -0.18, -0.26, 
##     -0.93, -1.16, -1.36, -1.51, -1.72, -3.39, -2.89, -2.73, -0.75, 
##     2.28, 2.7, 2.65, 2.68, 2.41, 2.25, 1.65, 0.61, 0.16, -0.4, 
##     -0.75, -1, -1.81, -2.04, -2.39, -3.34, -3.29, -2.22, -1.53, 
##     1.57, 1.89, 2.18, 2.33, 2.36, 2.52, 2.55, 2.68, 2.49, 2.34, 
##     2.54, 2.44, 2.34, 1.14, 0.75, 0.58, 0.27, 0.14, -0.27, -0.51, 
##     -1.09, -1.69, -2.67, -3, -3.53, -3.61, -3.37, -3.31, -3.23, 
##     -3.15, -1.33, -0.1, 0.32, 0.71, 2.04, 2.18, 2.67, 2.89, 2.94, 
##     2.92, 3.29, 3.28, 3.18, 3.12, 2.83, 2.79, 1.99, -0.53, -1.46, 
##     -3.05, -3.07, -2.92, -2.87, -2.65, -2.41, -2.31, -2.15, 0.24, 
##     0.63, 2.28, 2.5, 2.73, 2.99, -0.06, -0.26, -0.42, -0.59, 
##     -1.2, -1.62, -1.83, -2.55, -3.58, -3.73, -3.32, -3.28, -1.33, 
##     -0.63, -0.22, 0.16, 1.3, 2.3, 2.95, 2.91, 3.1, 2.67, 2.55, 
##     2.63, 2.25, 1.16, 0.82, 0.66, 0.53, 0.26, -0.27, -1.01, -1.69, 
##     -2.15, -2.34, -2.84, -3.05, -3.89, -3.71, -3.61, -3.52, -3.4, 
##     -3.2, -2.95, -2.92, -2.84, 0.19, 0.72, 1.09, 1.33, 1.53, 
##     2.42, 2.91, 2.92, 3.1, 3.37, 3.39, 3.34, 3.02, 2.47, 2.33, 
##     1.93, 1.83, 0.93, 0.32, 0.11, -0.1, -0.29, -0.64, -1.86, 
##     -2.15, -2.39, -2.87, -3.82, -4.16, -3.92, -3.52, -3.36, -3.23, 
##     -2.7, -2.62, -2.57, -2.42, -2.04, -1.64, -0.56, -0.13, 1.38, 
##     1.83, 2.26, 3.34, 3.76, 3.68, 3.55, 3.39, 2.89, 2.83, 2.65, 
##     2.55, 2.39, 2.26, 2.07, 1.86, 1.03, 0.56, -2.65, -3.37, -4.27, 
##     -4.8, 3.15, 3.28, 3.34, 3.34, 3.16, 2.55, 2.39, 2.18, 0.88, 
##     0.75, 0.48, 0.16, 0.08, 0.03, 0, -0.02, -0.05, -0.02, 0.02, 
##     0.03, 0.05, 0.31, 0.24, 0.19, 0.18, 0.35, 0.1, -0.03, -0.13, 
##     -0.24, -0.21, 0.03, 0.1, 0.11, 0.13, 0.11, -0.03, -0.14, 
##     -0.08, -0.16, -0.13, -0.08, -0.08, -0.16, 0, -0.03, 0.05, 
##     0.02, -0.02, -0.05, -0.1, 0.22, -0.13, -0.19, -0.14, -0.11, 
##     0.22, 0.29, 0.26, 0.16, 0.02, 0.11, 0.11, 0.06, -0.06, -0.31, 
##     -0.32, -0.27, -0.1, -0.11, -0.11, -0.06, 0.08, 0.11, 0.11, 
##     0.1, 0.1, 0.11, 0.06, 0.06, 0.08, 0.03, 0, -0.03, -0.05, 
##     -0.08, -0.1, -0.11, -0.67, -0.95, -1.08, -1.32, -1.61, -2.12, 
##     -1.91, -1.81, -1.33, -0.43, -0.14, 0.19, 1.2, 1.22, 1.35, 
##     1.43, 1.57, 1.91, 2.1, 2.2, 2.14, 2.06, 1.88, 1.32, 0.82, 
##     -0.11, -0.43, -1.06, -2.22, -2.33, -2.3, -2.3, -2.5, -2.54, 
##     -2.15, -1.43, -0.48, -0.19, 0.16, 0.4, 0.66, 0.95, 1.22, 
##     1.53, 2.41, 2.44, 2.41, 1.45, 1.3, 2.07, 2.04, 2.1, 2.28, 
##     2.34, 2.18, 2.06, 2.01, 1.91, 0.77, 0.13, -1.72, -2.57, -2.6, 
##     -2.6, -2.75, -2.46, -0.98, -0.43, 0.19, 1.85, 2.01, 2.02, 
##     2.22, 2.22, 2.33, 2.36, 2.07, 0.93, 0.74, 0.35, 0.08, -1.28, 
##     -1.8, -2.94, -3.02, -2.99, -2.99, -1.73, -1.48, -0.93, -0.66, 
##     0.13, 0.4, 1.14, 1.62, 2.75, 2.87, 2.94, 2.99, 2.84, 2.49, 
##     1.77, -0.53, -2.73, -2.07, 1.08, 2.1, 2.78, 2.84, 2.92, 3.69, 
##     4.16, 3.77, 3.92, 3.74, 3.68, 2.44, 1.93, 1.45, 0.69, 0.59, 
##     -0.18, -0.48, -0.8, -1.88, -2.28, -4.16, -4.82, -5.03, -4.82, 
##     -4.24, -3.97, -3.31, -2.7, -2.1, -1.86, -1.57, -0.56, 0.43, 
##     1.53, 2.54, 2.94, 4.05, 4.06, 4.09, 4.54, 4.27, 3.71, 3.74, 
##     3.29, 3.18, 1.65, 0.82, 0.5, -1.67, -2.87, -3.68, -4.08, 
##     -4.58, -4.54, -2.62, -1.51, -1, 1.83, 2.18, 3.18, 3.26, 3.64, 
##     4.3, 3.87, 3.93, 3.6, 3.45, 3.39, 3.23, 2.95, 2.65, 2.49, 
##     2.28, 2.04, 1.75, 1.51, 1.35, 1.08, 0.61, 0.19, 0.05, 0.03, 
##     0.05, 0.05, 0.02, -0.02, -0.03, 0.03, 0, -0.02, 0.03, -0.02, 
##     0, -0.03, -0.1, -0.29, -0.43, -1.33, -1.51, -1.77, -2.12, 
##     -2.2, -2.59, -2.5, -2.47, -2.17, -1.49, 0.34, 0.39, 1.65, 
##     2.59, 2.6, 2.18, 2.2, 2.28, 2.07, 1.86, 1.8, 0.88, 0.64, 
##     0.29, 0.21, -0.05, -0.29, -0.5, -0.67, -1.7, -1.94, -2.71, 
##     -2.86, -2.79, -2.91, -2.23, -1.8, -1.48, -0.06, 0.61, 0.53, 
##     0.83, 1.45, 1.56, 2.02, 2.44, 2.94, 2.62, 1.89, 1.83, 1.56, 
##     1.41, 1.19, 0.92, 0.69, 0.11, -0.27, -0.61, -1.8, -2.28, 
##     -2.54, -3.4, -3.61, -2.31, -1.89, 0, 0.27, 0.56, 1.2, 1.59, 
##     2.6, 2.5, 2.84, 2.73, 2.52, 0.87, 0.35, 0.14, -1.48, -1.72, 
##     -1.98, -3.26, -3.37, -3.2, -3.05, -2.78, -2.49, -1.38, 0.08, 
##     2.07, 2.41, 2.83, 2.44, 2.76, 2.33, 2.12, 1.77, 1.06, 0.88, 
##     0.8, 0.75, -0.24, -0.4, -1.16, -3.15, -3.24, -3.42, -3.53, 
##     -3.6, -3.53, -3.4, -3.03, -2.3, -1.91, -0.51, 0.85, 1.78, 
##     2.31, 2.89, 2.65, 2.84, 2.59, 2.12, 1.51, 1, 0.26, -0.06, 
##     -0.5, -1.43, -3.45, -3.56, -3.58, -3.32, -3, -2.55, -0.66, 
##     -0.19, 0.47, 0.93, 1.28, 1.61, 1.93, 2.28, 2.49, 2.33, 2.68, 
##     2.86, 2.78, 2.68, 2.76, 2.2, 2.06, 1.38, 1.14, 0.61, -0.48, 
##     -2.84, -2.99, -3.29, -3.48, -3.24, -1.27, -0.88, 0.03, 1.08, 
##     2.26, 2.47, 2.73, 2.92, 2.68, 2.15, 2.1, 2.07, 1.81, 1.32, 
##     0.47, 0.18, 0.02, -0.47, -2.22, -2.42, -2.99, -3.18, -3.63, 
##     -3.58, -3.28, -1.03, 1.94, 2.22, 2.39, 1.14, 0.95, 0.29, 
##     -0.29, -1.17, -1.49, -3.31, -3.4, -3.16, -3.02, 1.16, 1.96, 
##     2.39, 2.54, 2.91, 3.24, 3.16, 2.18, 2.09, 1.86, 1.25, 0.83, 
##     0.1, -0.45, -1.53, -2.76, -3.08, -3.21, -2.65, 0.43, 0.8, 
##     0.88, 0.72, 0.8, 1.4, 1.57, 1.85, 2.02, 2.02, 2.36, 1.83, 
##     0, -0.02, -0.02, -0.03, -0.03, 0, -0.02, -0.03, -0.02, 0.02, 
##     0.02, 0.02, 0.02, 2.2, 3, 3.58, 3.97, 3.82, 3.4, 3.31, 2.3, 
##     1.54, 1.43, 0.58, 0.13, -0.77, -1.27, -2.95, -3.32, -3.71, 
##     -5.01, -4.83, -4.82, -4.82, -4.37, 2.89, 2.63, 1.73, 1.77, 
##     1.65, 1.28, 1.24, 1.2, 1.3, 1.22, 0.96, 0.64, 0.53, 0.43, 
##     -0.27, -0.9, 1.83, 1.69, 1.72, 1.64, 1.32, 1.03, 1.08, 1.01, 
##     1.01, 1, 0.83, 0.77, 0.71, 0.53, 0.4, 0.31, -1, -0.9, -0.77, 
##     -0.08, 0.02, 0.48, 1.25, 1.45, 2.42, 3.66, 3.92, 4.54, 4.7, 
##     4.74, 4.78, 4.16, 4.06, 3.42, 2.47, 1.99, 1.45, 1.11, 1.06, 
##     1.11, 0.77, 0.61, 0.29, 0.27, 0.27, 0.31, 0.27, 0.31, 0.34, 
##     0.39, 0.43, 0.42, 0.4, 0.42, 0.39, 0.35, 0.39, 0.45, 0.47, 
##     0.45, 0.69, 0.5, 0.13, 0.14, 0.1, -0.06, 0.03, -0.05, -0.08, 
##     0.14, 0.11, 0.16, 0.26, -0.13, -0.1, -0.43, -0.96, -1.14, 
##     -1.43, -2.06, -2.41, -1.91, -1.45, -1.12, -0.4, -0.14, 0, 
##     0.11, 0.32, 0.34, 0.4, 0.61, 0.72, 0.98, 1.33, 1.83, 1.8, 
##     1.78, 1.72, 1.56, 1.38, 1.32, 1.35, 1.25, 1.12, 1, 1, 0.9, 
##     0.79, 0.75, 0.75, 0.75, 0.79, 0.87, 0.87, 0.88, 0.69, 0.48, 
##     0.4, 0.32, -0.02, -1.78, -2.09, -1.56, -1.46, -1.12, -1.09, 
##     -0.96, -0.85, -0.71, -0.47, 0, 0.27, 0.34, 0.39, 0.74, 1.22, 
##     1.85, 1.91, 2.1, 2.09, 0.47, 0.48, 0.45, 0.42, -0.27, -0.51, 
##     -0.93, -1.3, -1.41, -1.91, -1.98, -2.01, -1.91, -1.09, -0.88, 
##     -0.58, -0.37, -0.14, -0.06, 0.21, 0.27, 1, 1.28, 1.51, 1.8, 
##     1.99, 2.07, 2.14, 2.3, 2.12, 1.88, 1.36, 1.3, 1.2, 1.16, 
##     0.96, 0.9, 0.83, 0.8, 0.39, 0.26, 0.22, 0.18, 0.11, -1.12, 
##     -1.61, -1.69, -1.85, -1.91, -1.93, -1.89, -1.93, -1.96, -1.83, 
##     -1.78, -1.32, -1.24, 0.03, 0.29, 0.39, 0.42, 0.67, 0.74, 
##     0.8, 0.93, 1.46, 1.89, 2.01, 2.34, 2.41, 2.44, 2.31, 2.28, 
##     2.01, 1.24, 1.11, 1.08, 0.96, 0.87, 0.83, 0.79, 0.67, 0.61, 
##     0.42, 0.22, -0.48, -0.71, -1.06, -1.48, -1.64, -2.01, -1.96, 
##     -0.67, -0.31, -0.19, -0.11, 0.08, 0.22, 1.08, 0.98, 0.63, 
##     0.58, 0.51, 0.1, 0.05, -0.11, -0.77, -0.95, -1.09, -1.3, 
##     -1.61, -1.72, -1.83, -1.93, -1.96, -1.99, -1.86, -1.75, -1.7, 
##     -1.48, -0.79, -0.61, -0.47, -0.08, 0.21, 0.24, 0.31, 0.31, 
##     0.34, 0.43, 0.64, 1, 2.49, 2.25, 1.8, 1.81, 1.2, 1, 0.72, 
##     0.4, 0.29, 0.1, -0.83, -1.73, -2.02, -2.1, -2.1, -2.14, -1.8, 
##     -1.69, -1.46, -0.83, -0.66, -0.35, -0.11, 0.21, 0.24, 0.34, 
##     0.56, 1.78, 2.34, 1.89, 1.89, 1.75, 1.27, 1.25, 1.14, 1.14, 
##     1.06, 0.63, 0.27, 0.22, 0.18, -0.53, -0.82, -1.46, -1.94, 
##     -1.91, -1.4, -1.11, -0.11, 0.53, 0.63, 0.69, 0.69, 0.66, 
##     0.63, 0.8, 1.28, 1.65, 1.83, 2.14, 2.3, 2.34, 2.42, 2.18, 
##     2.1, 2.04, 1.91, 1.54, 1.25, 1.08, 0.51, 0.93, 1.2, 1.77, 
##     2.15, 2.17, 2.39, 2.18, 2.09, 1.62, 1.59, 1.43, 1.41, 1.4, 
##     1.33, 2.2, 2.02, 2.09, 1.89, 1.22, 1.16, 0.85, 0.82, 0.69, 
##     0.67, 0.31, 0.26, 0.22, 0.16, 0.4, 0.27, 0.31, 0.32, 0.29, 
##     0.19, 0.03, -0.03, -0.08, -0.1, -0.39, -0.61, -1.4, -2.26, 
##     -3.61, -3.48, -3, -2.92, -2.62, -2.46, -1.65, -0.48, -0.08, 
##     0.92, 1.99, 3.24, 3.68, 3.47, 3.1, 3.07, 2.89, 2.28, -2.34, 
##     -2.52, -2.84, -2.86, -2.84, -2.81, -2.25, -2.15, -2.06, -1.75, 
##     -1.48, -1.22, -1.4, -1.16, -0.95, -0.87, -0.56, -0.47, 0.55, 
##     0.92, 1.93, 1.89, 1.91, 1.16, 0.74, 0.24, -0.27, -0.47, -1.27, 
##     -1.48, -1.77, -1.93, -2.23, -2.55, -2.67, -2.49, -1.85, -1.78, 
##     -1.73, -1.28, -1.2, -1.16, -0.64, -0.37, 0.11, 0.24, 0.53, 
##     0.9, 1, 1.85, 1.98, 2.28, 2.38, 2.49, 2.62, 2.71, 3, 3.21, 
##     3.15, 3.05, 2.97, 2.7, 2.54, 1.99, 1.53, 1.59, 1.59, 1.56, 
##     1.36, 1.12, -0.03, -0.67, -1.45, -1.86, -2.02, -2.76, -2.84, 
##     -2.65, -2.47, -2.34, -2.26, -2.17, -1.94, -1.88, -1.61, -1.4, 
##     -1.32, -1.17, -1.17, -0.96, -0.51, -0.19, 0.63, 0.82, 0.93, 
##     1.16, 1.35, 2.34, 2.68, 2.81, 2.94, 2.95, 2.68, 2.34, 2.39, 
##     2.39, 2.67, 2.75, 2.41, 2.25, 2.12, 2.14, 2.14, 2.12, 1.64, 
##     0.56, -0.02, -0.34, -0.55, -1, -1.12, -1.73, -2.42, -2.5, 
##     0, 0.45, 0.67, 0.75, 0.83, 0.9, 1.12, 1.25, 1.35, 1.56, 1.75, 
##     1.83, 1.93, 2.23, 2.97, 0.43, -0.43, -0.5, -0.66, -0.67, 
##     -0.69, -0.72, -1.16, -1.59, -1.88, -1.89, -2.04, -1.99, -2.01, 
##     -1.91, -1.73, -1.78, -1.73, -1.56, -1.11, -0.87, -0.63, 0.11, 
##     0.55, 0.95, 1.2, 1.4, 1.62, 1.65, 1.88, 1.8, 1.85, 1.81, 
##     1.81, 1.89, 1.45, 0.9, 0.83, 0.03, -0.35, -0.79, -1.17, -1.38, 
##     -1.53, -1.94, -1.85, -1.41, -1.4, -1.22, -1.16, -1.06, -1.01, 
##     -0.64, -0.42, -0.39, -0.03, 0.03, 0.26, 0.58, 0.75, 0.88, 
##     0.96, 1.01, 1.24, 1.45, 1.54, 1.65, 1.53, 1.45, 1.36, 1.48, 
##     1.78, 1.62, 1.51, 1.48, 1.49, 1.49, 1.11, 0.48, -0.95, -1.32, 
##     -1.93, -1.78, -1.54, -1.35, -1.3, -1.28, 1.8, 1.78, 1.8, 
##     1.78, 1.57, 1.59, 1.43, 1.33, 0.14, -0.47, -0.96, 0.72, 0.82, 
##     1.45, 1.49, 1.72, 1.88, 1.93, 1.99, 1.94, 1.94, 1.94, 1.88, 
##     1.86, 1.7, 1.86, 1.89, 1.81, 1, 0.74, 0.59, 0.29, 0.11, -0.75, 
##     -1.49, -1.8, -2.06, -1.89, -1.67, -1.28, -1.2, -0.98, -0.92, 
##     -0.92, -0.77, -0.64, -1.46, -1.93, -1.96, -1.96, -1.91, -1.88, 
##     -1.75, -1.72, -1.41, -1.28, -1.12, -0.58, -1.27, -1.16, -1.08, 
##     -0.29, 0.32, 0.61, 0.79, 0.9, 1.01, 1.04, 1.22, 1.27, 1.65, 
##     1.69, 1.69, 1.73, 1.78, 1.77, 2.73, 2.65, 2.63, 2.36, 2.3, 
##     2.23, 1.56, 1.35, 0.5, -3.05, -3.15, -3.34, -3.28, -2.83, 
##     -2.75, -2.62, -2.26, -2.15, -1.7, -0.88, -0.79, -0.79, -0.69, 
##     1.7, 1.77, 2.01, 2.23, 2.87, 2.81, 2.68, 2.71, 2.5, 2.1, 
##     2.01, 1.98, 0.03, -0.02, -0.18, -1.35, -2.28, -3.32, -3.56, 
##     -4.26, -3.63, -3.08, -2.63, -2.36, 0.4, 1.4, 1.19, 0.69, 
##     0.26, -0.11, -0.42, -0.4, -0.32, 0.03, 0.08, 0.13, 0.1, -0.02, 
##     -0.82, -0.74, -0.56, -0.31, -0.18, -0.11, -0.08, -0.05, 0.02, 
##     0.11, 0.24, -0.02, 0.02, 0, 0.05, 0.03, 2.83, 2.76, 2.6, 
##     2.79, 2.59, 2.42, 2.54, 2.44, 2.3, 2.06, 1.93, 0.85, 0.72, 
##     0.43, -2.59, -0.35, 2.57, 2.34, 2.3, 2.34, 2.22, 2.15, 1.56, 
##     1.53, 1.51, 1.48, 3.42, 3.05, 2.87, 2.92, 2.87, 2.87, 2.34, 
##     2.06, 1.78, 1.01, 0.53, 0.39, 0.34, 0.05, -0.08, -0.18, -0.21, 
##     -0.21, -0.14, -0.03, 0.63, 0.14, -0.18, -1.14, -2.18, -2.39, 
##     -2.7, -2.91, -2.89, -0.79, -0.42, -0.03, 0.34, -2.6, -2.6, 
##     -2.57, -2.46, -2.42, -2.1, -0.71, -0.48, 0.24, 0.69, 1.45, 
##     1.88, 2.09, 1.85, 1.72, 1.25, 1.03, -2.36, -2.47, -2.49, 
##     -2.5, -2.3, -2.06, -1.75, -0.47, -0.24, 1.04, 1.3, 1.72, 
##     -2.26, -2.15, -1.3, -0.67, -0.19, 0.16, 0.39, 0.37, 0.59, 
##     1.3, 1.61, 1.67, 1.73, 1.54, 1.04, 0.93, 0.32, 0.14, 0.08, 
##     -0.26, -0.43, -2.55, -2.65, -2.87, -2.84, -2.67, 0.88, 0.45, 
##     -2.22, -2.36, -2.38, -2.36, -2.3, -2.18, -2.15, -2.15, -2.18, 
##     -2.23, -2.22, -2.26, -2.18, -2.1, -1.12, -0.88, -0.63, 0.58, 
##     0.87, 1.59, -4.77, -4.64, -3.03, -2.87, -2.78, -2.67, -2.42, 
##     -2.2, -1.67, -0.53, 2.87, -1.09, -1.24, -1.78, -1.86, -2.01, 
##     -2.12, -2.04, -1.96, -1.93, -1.94, -0.43, 0.08, 1.36, 1.41, 
##     1.41, 1.38, 1.53, 1.8, 2.14, 2.34, 1.89, 1.16, 0.59, -0.56, 
##     -1.36, -1.67, -2.3, -2.41, -2.42, -2.34, -2.36, -2.39, -2.39, 
##     -2.52, -2.59, 0.06, 1.16, 1.59, 1.77, 1.75, -2.71, -2.68, 
##     -2.22, -2.07, -1.81, -1.4, 0.75, 1.7, 2.2, 2.12, 2.12, 2.25, 
##     2.17, 1.8, 1.04, 0.59, -0.37, -0.64, -1.73, -1.89, -2.22, 
##     -2.36, -2.54, -2.55, -2.65, -2.68, -2.75, -2.81, -2.84, -2.59, 
##     0.98, 1.53, 1.7, 1.98, 2.23, 2.41, 2.49, 2.28, 2.44, 2.46, 
##     2.57, 2.15, 1.99, 1.77, -0.55, 0.67, 1.24, 1.33, 1.51, 1.65, 
##     1.8, 1.64, 1.72, 1.77, 1.67, 1.65, 1.59, 1.46, 1.41, 1.45, 
##     -0.05, -0.19, -0.35, -0.34, -1.17, -1.3, -1.54, -2.38, -2.46, 
##     -2.65, -2.67, -2.75, -2.73, -2.36, -1.64, -0.82, -0.63, -0.21, 
##     0.06, 0.14, -0.77, -1, 1.62, 0.93, 0.59, 0.1, -0.06, -0.18, 
##     -0.18, -0.18, -0.21, -0.34, -0.55, -0.67, -0.74, -0.82, -1.61, 
##     -1.69, -1.8, -1.93, -2.12, -2.2, -2.84, -2.99, 2.04, 2.04, 
##     1.86, 1.64, 1.56, 1.24, 1, 0.63, 0.21, -0.4, -0.55, -0.79, 
##     -3.21, -3.29, -3.29, -3.24, -3.18, -2.63, -1.53, -1.09, 1.41, 
##     1.75, 1.85, 1.91, 2.01, -0.24, -1.75, -1.89, -2.04, -2.17, 
##     -2.41, -2.89, -3.31, -3, -2.18, -1.75, -0.72, 0.95, 1.41, 
##     1.7, 1.64, 1.72, 1.83, 1.73, 1.75, 1.65, 1.62, 1.06, 0.79, 
##     -0.02, -0.1, -0.21, -1.01, -1.16, -2.2, -2.39, -2.47, -2.75, 
##     -2.67, -2.47, -2.07, -1.51, -1.16, -0.79, 0.14, 0.51, 1.51, 
##     2.22, 2.28, 2.33, -1.08, 1.25, 1.62, 1.86, 1.81, 1.89, 1.93, 
##     2.02, 1.99, 1.85, 1.77, 1.83, 1.61, 1.61, 1.06, 0.64, 0.51, 
##     0.34, -0.42, -0.42, -0.45, -0.63, -1.96, -2.09, -2.18, -2.26, 
##     -2.3, -2.34, -2.38, -2.44, -2.36, -2.31, -2.31, -2.25, -2.06, 
##     -1.81, -1.48, -0.06, -0.13, -0.55, -0.67, -0.96, -1.12, -2.6, 
##     -2.18, -1.99, -1.27, -0.79, 0.79, 1.19, 2.04, 2.12, 2.25, 
##     1.98, 1.67, 1.48, 1.43, 1.28, 0.59, 0.45, 0.29, -0.22, -0.32, 
##     -0.43, -0.66, -0.98, -1.08, -1.3, -2.17, -2.86, -2.87, -2.91, 
##     -2.95, -2.95, 1.08, 1.54, 1.81, 2.33, 2.18, 2.25, 2.26, 1.62, 
##     1.22, -0.51, -0.87, -1.17, -1.46, -1.86, -2.17, -2.39, -2.49, 
##     -3.1, -3.07, -2.3, 0.32, 0.82, 1.16, 1.99, 1.99, 2.23, 2.33, 
##     0.59, 0.79, 0.87, 1.08, 1.43, 1.77, 1.98, 1.94, 1.99, 2.12, 
##     1.91, 1.85, -1.46, -1.12, -1.01, -0.66, -0.59, -0.45, -0.16, 
##     0.13, -0.22, 0.72, 1.98, 1.99, 1.99, 2.14, 2.28, 2.17, 2.09, 
##     2.28, 2.73, 2.31, 2.12, 1.88, 1.77, 1.65, 0.83, 0.13, -0.42, 
##     -1.11, -2.65, -2.54, -1.41, -0.66, 0.13, -0.21, -0.53, -1.19, 
##     -1.45, -1.49, -1.46, -1.33, -1.17, -1.16, -1.14, 0.08, 0.59, 
##     0.95, 1.09, 1.51, 1.67, 1.77, 1.86, 2.36, 2.04, 1.85, 1.8, 
##     1.65, 1.61, 1.43, 1.45, 1.32, -0.59, -0.8, -0.87, -1.06, 
##     -1.16, -1.27, -1.45, -1.53, -1.64, -1.86, -1.72, -1.38, -1.36, 
##     -1.28, -1.27, -1.17, -1.11, -0.21, 0.18, 0.9, 0.95, 1.32, 
##     1.38, 1.7, 2.12, 2.17, 1.81, 1.75, 1.72, 1.46, 1.04, 0.88, 
##     0.74, 0.53, 0.34, -0.48, -0.63, -0.9, -1.45, -1.53, -1.72, 
##     -1.72, -1.22, -0.98, -0.95, -0.92, -0.9, -0.9, -0.83, -0.8, 
##     -0.77, 0.82, 1.43, 1.77, 1.77, 1.83, 1.99, 2.02, 1.89, 1.73, 
##     1.09, 0.79, -0.11, -0.47, -0.58, -0.75, -1.4, -1.75, -1.77, 
##     -1.61, -1.56, -1.45, 1.88, 2.06, 2.06, 2.1, 2.15, 1.91, 1.67, 
##     1.59, 1.38, 1.33, 0.79, 0.64, 0.32, -0.43, -1.06, -1.2, -1.25, 
##     -1.78, -1.73, -1.12, -1.09, -1.11, -1.14, -1.12, -1.08, -0.87, 
##     -0.35, -0.22, -0.06, 0.27, 0.51, 0.69, 0.8, 1.11, 1.85, 2.06, 
##     2.33, 2.39, 1.89, 1.86, 1.7, 1.64, -3.5, -3.69, -3.5, -3.13, 
##     -2.02, 0.45, 1.24, 2.41, 2.68, 3.16, 3.05, 2.76, 2.71, 2.49, 
##     2.39, 2.31, 1.8, 1.17, 0.13, -0.77, -1.01, -1.53, -2.18, 
##     -2.34, -3.05, -3.42, -3.13, -2.89, -2.62, -1.3, -0.61, -0.34, 
##     0.31, 0.69, 1.77, 2.78, 2.89, 3.03, 2.92, 2.71, 2.55, 2.63, 
##     2.6, 2.73, 2.17, 1.25, 0.88, 0.5, -0.51, -1.11, -1.57, -1.85, 
##     -2.07, -2.3, -2.6, -3.15, -3.18, -3.1, 2.12, 1.62, 1.51, 
##     0.87, 0.69, 0.4, 0.11, 0.06, -0.19, -0.31, -0.43, -1.04, 
##     -1.53, -1.69, -2.2, -2.42, -2.65, -2.7, -2.73, -2.7, -2.78, 
##     -2.97, -3.58, -3.53, -3.44, -3.15, -0.48, 3.53, 3.66, 4.38, 
##     4.26, 4.11, 4.08, 3.98, 4.17, 4.06, 4.38, 4.13, 1.17, -0.26, 
##     -1.54, -2.14, -2.42, -2.7, -2.95, -3.74, -3.9, -4.46, -4.56, 
##     -4.64, -4.61, -4.56, -4.48, -4.43, -3.03, -2.54, -1.85, -0.22, 
##     0.37, 3.9, 4.21, 4.09, 3.9, 3.31, 3.52, 3.63, 3.26, 1.46, 
##     1.12, -1.08, -1.61, -2.22, -2.55, -4.11, -4.22, -4.38, -4.54, 
##     -4.51, -4.64, -4.54, -3.84, -3.68, 1.8, 3.1, 3.29, 4.14, 
##     4.26, 4.21, 3.76, 3.61, 3.28, 3.48, 3.73, 1.53, 0.83, 0.05, 
##     -1.8, -3.5, -3.68, -4.53, -4.88, -4.8, -4.77, -4.48, -3.12, 
##     -2.42, -0.67, 0.93, 2.57, 3.29, 4.5, 4.51, 4.27, 3.98, 3.89, 
##     4.14, 4.09, 3.68, 2.76, 1.85, 1.43, 0.08, -0.58, -2.86, -4.42, 
##     -4.75, -5.01, -5.07, -5.33, -5.31, -5.09, -4.48, -4.35, -3.69, 
##     -3.31, -3.15, -2.91, -2.63, -2.07, 1.73, 2.15, 2.49, 3.79, 
##     3.95, 4.22, 4.29, 4.16, 3.85, 3.89, 3.63, 3.52, 3.34, 2.99, 
##     2.23, 1.04, 0.95, 0.85, 0.11, -0.19, -1.24, -1.48, -1.7, 
##     -1.86, -2.22, -2.79, -3.16, -3.34, -3.74, -3.92, -4.21, -4.5, 
##     -4.45, -4.54, -4.46, -4.3, -0.87, 0.05, 0.85, 1.51, 1.98, 
##     2.31, 3, 3.4, 3.71, 3.9, 3.93, 3.95, 3.95, 3.82, 3.45, 3.5, 
##     3.2, 1.51, 0.34, -0.27, -1.72, 2.07, 3.32, 3.5, 4.11, 4.11, 
##     4.09, 3.9, 3.87, 3.45, 3.58, 3.76, -3.39, -3.5, -3.29, -0.35, 
##     2.67, 3.2, 3.18, 2.76, 2.46, 2.12, 1.8, 1.54, 0.75, -0.93, 
##     -1.61, -1.78, -2.01, -2.09, -2.39, -2.57, -2.7, -2.75, -2.63, 
##     -2.55, -2.28, -2.23, -2.15, -2.07, -1.99, -1.28, -1.08, -0.8, 
##     -0.48, 1.01, 1.56, 2.17, 2.54, 2.44, 2.59, 2.5, 2.55, 2.42, 
##     2.36, 2.1, 1.96, 1.48, 1.01, -0.19, -1.33, -1.59, -1.93, 
##     -2.33, -2.44, -2.59, -2.67, -3.08, -3.12, -1.35, -0.82, 0.43, 
##     0.8, 1.14, 1.36, 2.14, 2.44, 2.68, 2.59, 2.42, 2.39, 2.14, 
##     2.1, 2.01, 1.89, 0.83, 0.64, -0.45, -1.33, -2.04, -2.86, 
##     -3.1, -3.1, -2.95, -2.83, -2.49, -2.3, -1.96, -1.24, 0.29, 
##     1, 1.85, 2.15, 2.26, 2.33, 2.59, 2.68, 2.75, 2.6, 2.33, 2.18, 
##     1.94, 1.7, 0.93, 0.02, -0.59, -0.92, -1.25, -3.16, -3.64, 
##     -3.66, -3.61, -3.47, -2.87, -2.41, -2.3, -2.04, -1.91, -1.81, 
##     -1.65, 1.56, 2.91, 3, 2.89, 2.62, 0.16, 0.08, 0, -0.21, -0.11, 
##     -0.08, -0.06, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.06, 
##     -0.06, -0.14, -0.27, -0.31, -0.37, -0.5, -0.75, -0.87, -1.04, 
##     -1.57, -2.02, -2.25, -2.38, -2.57, -2.55, 2.02, 2.01, 1.94, 
##     1.91, 1.89, 1.85, 1.75, 1.65, 1.36, 0.31, -0.22, -0.47, -1.25, 
##     -2.31, -2.78, -2.81, -2.68, -1.32, 0.19, 1.2, 1.75, 1.94, 
##     2.14, 2.04, 2.1, 2.04, 2.04, 2.02, 1.73, 0.87, -0.51, -4.24, 
##     -3.93, -2.15, 2.83, 3.36, 3.9, 4.06, 3.98, 3.63, 3.34, 1.27, 
##     0.32, 0.16, -0.16, -0.42, -0.39, -0.34, 0.06, 0.1, 0.05, 
##     0.02, 0.03, 0, -0.03, -0.03, -0.02, -0.02, 0.02, 0.02, 0, 
##     0.02, 0.02, -0.02, 0, -0.03, -0.02, -0.02, -0.03, 0, 0.03, 
##     0.05, 0.06, 0.06, 0.06, 0.06, 0.02, 0.02, 0, -0.02, -0.13, 
##     -0.14, -0.4, -0.61, -1, -2.12, -2.31, 0.1, 0.1, 0.1, 0.1, 
##     0.1, 0.06, 0.39, 0.67, 0.82, -0.29, -0.42, -0.48, -0.5, -0.05, 
##     -0.06, -0.08, -0.05, -1.11, -2.31, -2.94, -2.92, -2.95, -2.47, 
##     -0.22, 1.98, 2.3, 2.55, 2.3, 2.36, 2.2, 2.22, 2.04, 1.72, 
##     1.49, 0.05, -0.08, -0.34, -0.74, -1.17, -2.75, -2.81, -2.34, 
##     -1.94, -0.59, 0.88, 1.64, 2.01, 2.52, 2.5, 2.49, 2.18, -0.16, 
##     -1.03, -1.25, -1.49, -2.36, -2.68, -2.75, -2.79, -2.78, -2.73, 
##     -2.34, 1.46, 1.98, 2.2, 2.42, 2.2, 1.24, 0.66, -0.39, -1.14, 
##     -1.4, -2.73, -2.99, -2.7, -2.49, -1.72, -1.11, -0.48, 2.02, 
##     2.09, 2.1, 1.86, 2.04, 1.14, 1.01, 0.13, -0.1, -0.18, -0.27, 
##     -0.53, -2.14, -2.49, -2.7, -2.78, -1.11, -1.33, -1.49, -2.57, 
##     -2.86, -2.86, -2.86, -3.13, -3.03, -2.75, -1.45, 0.71, 1.8, 
##     2.23, 2.22, 2.59, 2.39, 2.5, 2.73, 2.39, 2.02, 1.7, 1.33, 
##     1.04, -0.22, -2.57, -3.64, -3.16, -2.94, -2.22, -1.62, 1.2, 
##     1.46, 1.67, 2.41, 2.52, 2.73, 2.89, 2.42, 1.75, 0.92, -0.45, 
##     -0.83, -1, -2.28, -2.65, -2.75, -2.78, -2.6, -1.99, -1.94, 
##     -1.83, -1.64, 1.86, 1.98, 2.3, 2.22, 2.23, 2.38, 1.75, 1.7, 
##     1.45, 0.11, -0.1, -0.77, -1.16, -1.4, -1.67, -1.86, -2.01, 
##     -2.42, -2.3, -2.09, -1.93, -1.78, -1.14, 0.16, 1.64, -2.91, 
##     -2.38, -2.15, -1.99, 0.64, 1.04, 1.72, 1.94, 2.5, 0.85, 0.34, 
##     -0.02, -0.24, -0.16, -0.16, 0.95, 0.71, 0.53, 0.47, 0.19, 
##     0.16, 0.06, -0.06, -0.29, -1.01, -1.53, 1.36, 1.32, 0.83, 
##     0.5, 0.45, 0.39, 0.39, 0.34, 0.14, -0.79, -1.16, -1.36, -1.65, 
##     0.13, 0.16, 0.18, 0.18, 0.26, 0.35, 0.4, 0.75, 0.96, 1.25, 
##     1.43, 1.77, 1.85, 1.88, 2.34, 2.3, 1.75, 1.53, 1.46, 1.41, 
##     1.32, 1.2, 0.53, 0.47, 0.37, -1.69, -1.77, -1.73, -1.62, 
##     -1.59, -1.53, -1.35, -0.16, 0.27, 0.32, 0.37, 0.32, 0.34, 
##     -1.32, -2.04, -2.09, -2.18, -2.2, -2.31, -2.34, -2.34, -2.34, 
##     -2.09, -1.98, -1.04, 0.42, 1.11, 0.19, -0.5, -0.63, -0.82, 
##     -1.04, -1.28, -2.09, -2.2, -1.98, -1.75, -1.4, -1.28, -1.16, 
##     -0.56, -0.39, -0.03, 0.18, 0.9, 1.28, 1.46, 1.61, 2.31, 2.36, 
##     2.3, 1.99, 1.94, 1.3, 1.25, 1.2, -1.41, -1.35, -0.9, -0.8, 
##     -0.16, 0.02, 0.34, 0.56, 0.75, 0.9, 1.24, 1.51, 1.91, 2.1, 
##     2.14, 2.15, 2.22, 1.99, 1.06, 0.85, 0.74, 0.51, 0.13, 0, 
##     -0.16, -1.3, -1.65, -1.8, -1.89, -1.96, -1.99, -2.02, -1.16, 
##     -0.95, -0.63, -0.32, 0.72, 0.85, 0.85, 1.38, 1.72, 2.14, 
##     1.62, 1.56, 1.25, 0.85, 0.47, 0.43, 0.27, -0.64, -0.98, -1.2, 
##     -1.61, -1.69, -1.78, -2.22, -1.81, -1.57, -1.45, -1.22, -1.04, 
##     -0.34, 0.58, 0.64, 0.69, 1.06, 1.67, 1.89, 1.94, 1.78, 0.61, 
##     0.53, 0.39, 0.35, 0.29, 0.18, 0, -0.47, -0.64, -0.82, -1.24, 
##     -1.56, -1.75, 1.98, 1.08, 0.58, -2.41, -2.49, -2.17, -2.02, 
##     -1.53, -1.32, -1.04, -0.82, -0.61, 0.14, 0.37, 0.74, 1.01, 
##     1.67, 1.81, 1.99, 2.14, 0.8, 0.63, 0.56, 0.48, -0.51, -1.17, 
##     -1.62, -1.8, -1.86, -1.88, -1.77, 1.73, 2.44, 2.59, 2.67, 
##     2.5, 1.94, 1.83, 1.09, 0.71, 0.63, 0.47, 0.39, 0.37, 0.35, 
##     0.37, 0.37, 0.39, 0.39, 0.37, 0.58, 0.71, 0.88, 0.85, 0.74, 
##     0.79, 0.72, 0.85, 0.82, 0.8, 0.61, 0.39, 0.05, 0.03, 0, 0.34, 
##     0.4, 0.05, -0.18, -0.72, -1.08, -1.2, -1.46, -1.72, -2.39, 
##     -2.42, -2.2, -1.17, -1.09, -0.93, -0.79, -0.06, 0.06, 0.48, 
##     0.59, 0.67, 1.03, 1.28, 1.45, 1.77, 2.2, 2.23, 2.28, 2.34, 
##     1.81, 1.75, 1.75, 1.78, 1.64, -1.61, -1.69, -1.51, -1.36, 
##     -1.33, -1.17, -1.11, -1.01, -0.24, 0.02, 0.06, -0.66, -0.39, 
##     -0.06, 0.8, 1.91, 2.09, 2.22, 1.98, 1.96, 1.89, 1.65, 1.33, 
##     1.17, 1.17, 0.77, -0.11, -0.03, 0.08, 0.27, 0.59, 0.64, 0.69, 
##     0.77, 0.83, 1.25, 1.3, 1.48, 1.54, 1.64, 1.65, 1.64, 1.72, 
##     1.65, 1.49, 1.59, 1.53, 1.46, 1.14, 1.11, 1.04, -0.19, -0.37, 
##     -0.75, -0.93, -1.11, -1.51, -1.69, -1.72, -1.85, -1.88, -1.8, 
##     -1.7, -1.53, -1.46, -1.43, -1.38, -1.32, -1.22, -1.12, -0.87, 
##     -0.48, -0.13, -0.06, 0.03, 0.14, 0.69, 0.88, 0.92, 1.09, 
##     1.22, 1.54, 1.77, 1.85, 1.85, 1.93, 1.96, 1.93, 1.86, 1.86, 
##     1.86, 1.83, 1.83, 1.53, 1.38, -1.72, -1.65, -1.62, -1.41, 
##     -1.08, -1.08, -0.9, -0.82, -0.64, -0.43, -0.24, 0.16, 0.47, 
##     0.61, 0.74, 0.77, 0.72, 0.85, 1.24, 1.32, 1.78, 1.81, -0.8, 
##     -1.59, -1.8, -2.01, -2.09, -2.1, -2.14, -1.85, -1.67, -1.54, 
##     -1.43, -1.12, -0.85, -0.77, -0.13, -0.08, -0.02, 0.02, 0.05, 
##     0.18, -1.28, -0.85, -0.87, -0.93, -0.88, -0.87, -0.69, 0.48, 
##     1, 1.36, 1.45, 1.56, 1.78, -1.48, -1.4, -1.49, -1.41, -1.38, 
##     -1.3, -1.19, -1.09, -0.51, -0.42, -0.34, 0.37, 0.67, 0.8, 
##     0.88, 1, 1.27, 1.35, 1.57, 1.78, 1.81, 1.77, 1.78, 1.33, 
##     1.32, 0.58, 0.39, -0.51, -1.46, 1.86, 1.77, 1.69, 1.57, 1.4, 
##     1.4, 0.92, 0.31, 0.06, -0.5, -0.66, -1.08, -1.36, -1.54, 
##     -1.89, -2.09, -2.17, -2.22, -2.14, -1.69, 1.99, 1.98, 2.01, 
##     2.09, 2.14, 2.15, 2.04, 1.99, -0.34, 1.16, 0.82, 0.83, 0.74, 
##     0.67, 0.32, 0.19, -0.74, -1.11, -1.35, -1.53, -1.56, -1.57, 
##     -1.69, -1.72, -1.75, 0.48, 0.32, 0.14, -0.05, -0.37, -1.09, 
##     -1.25, -1.72, -1.98, -2.15, -2.33, -2.38, -2.3, -1.64, -1.28, 
##     -1.14, 1.91, 2.01, 2.33, 2.31, 1.72, -1.14, -1.38, -1.69, 
##     -2.31, -2.79, -2.76, -2.39, -1.33, -0.79, 0.75, 1.48, 1.65, 
##     2.2, 2.25, 2.3, 2.33, 2.28, 2.28, 2.01, 0.79, 0.22, 0.08, 
##     0.08, 0.1, 0.06, 0.1, -0.05, -0.05, -0.06, -2.38, -2.23, 
##     -2.18, -2.23, -2.17, -1.64, -0.93, -0.48, -0.69, -0.48, 0.08, 
##     0.22, -0.02, -0.02, 0.1, 0.06, 0.05, 0.05, -3.5, -3.95, -4.08, 
##     -4.17, -4.69, -4.66, -2.3, -1.77, -1.22, 3.97, 4.42, 4.01, 
##     3.23, 3.36, 3.5, 3.56, 3.5, 3.37, 3.15, 1.8, 0.96, 0.71, 
##     0.13, -0.29, -0.61, -0.92, -2.25, -3.13, -3.08, -2.99, -3.07, 
##     -2.76, -2.01, -1.64, -1.33, 0.13, 0.95, 1.28, 1.56, 1.91, 
##     2.49, 2.78, 2.97, 2.62, 2.75, 2.17, 2.14, 2.04, 1.65, 1.35, 
##     0.96, 0.69, -0.21, -0.72, -0.92, -1.16, -1.81, -2.5, -2.59, 
##     -2.67, -2.91, -3.18, -2.65, -1.96, -1.93, -1.62, -0.08, 1.36, 
##     2.14, 2.57, 2.52, 2.39, 2.26, 2.41, 2.41, 2.3, 0.32, 0.67, 
##     1.51, 1.56, 1.89, 1.86, 2.06, 1.7, 1.49, 0.77, 0.32, 0.16, 
##     0.02, -0.02, 2.06, 1.48, 1.54, 0.48, -0.45, -0.8, -1.01, 
##     -1.53, -1.88, -2.33, -2.46, -2.73, -2.84, -3.34, 1.98, 1.93, 
##     1.89, 1.43, 0.1, -0.08, -0.1, -1.98, -2.63, -2.68, -2.65, 
##     -2.54, -0.69, 0.51, 1.27, 1.65, 1.94, 2.04, 2.06, 2.04, 2.18, 
##     1.98, 1.96, 1.99, 2.07, 2.12, 2.22, 2.14, 2.14, 2.26, 2.28, 
##     2.36, 2.25, 2.1, 1.54, -0.32, -1.56, -2.83, -2.84, -2.47, 
##     -2.41, -2.34, -2.23, -2.17, -2.18, -2.44, -2.52, -2.52, 0.87, 
##     1.48, 1.86, 2.12, 2.22, 2.12, 3.08, 3.2, 3.5, 3.58, 2.39, 
##     2.34, 2.49, 2.54, 2.31, 2.2, 1.11, 0.61, 0.32, 0.03, -0.63, 
##     -0.8, -0.75, -0.69, -0.71, -0.71, -0.21, 0.06, 0.06, 0, -0.02, 
##     3.89, 1.72, 2.18, 2.3, 2.39, 2.83, 3.5, 4.05, 3.79, 3.76, 
##     3.95, 3.95, 3.77, 3.63, 3.55, 3.23, 2.54, 2.34, 2.02, 1.88, 
##     1.17, 1, 0.14, -1.83, -3.29, -3.39, -3.6, -3.55, -3.48, -3.2, 
##     -2.65, -2.25, -1.57, -1.38, -1.01, -0.32, 1.03, 1.7, 1.98, 
##     2.28, 3.07, 3.42, 3.73, 3.68, 3.63, 3.69, 3.64, 3.63, 3.36, 
##     3.34, 3.28, 3.05, 1.75, 1.06, 0.9, 0.82, 0.03, -0.34, -0.9, 
##     -1.43, -1.89, -2.04, -3.92, -4.29, -3.81, -3.34, -2.86, -2.63, 
##     -1.81, -1.4, 0.05, 0.83, 1.2, 1.51, 2.23, 2.6, 2.79, 2.99, 
##     3.31, 3.6, 3.5, 3.66, 3.26, 3.29, 3.52, 3.47, 3.37, 2.99, 
##     2.68, 2.47, 1.88, 1.57, 1.46, 1.11, 1.03, 0.93, -3.48, -2.04, 
##     -1.45, -1.22, -1, -0.26, -1.25, -1.53, -1.8, -2.44, -2.78, 
##     -3.16, -2.81, -1.8, -1.65, -1.73, -1.88, -1.54, 0.95, 1.54, 
##     1.93, 2.15, 2.25, 2.22, 2.28, 2.18, 2.22, 2.02, 1.41, 0.95, 
##     -0.31, -1.48, -2.25, -2.5, -2.62, -2.75, -2.94, -2.84, -2.59, 
##     -2.47, -2.04, -2.02, -1.08, -0.64, -0.13, 1.91, 2.07, 2.17, 
##     2.22, 2.36, 2.38, 2.25, 2.12, 1.99, 1.96, 1.98, 1.46, 1.04, 
##     0.11, -0.4, -0.92, -1.54, -2.62, -2.67, -2.54, -1.99, -1.72, 
##     -1.77, -1.62, -1.28, -0.16, 1.56, 1.83, 2.2, 2.22, 2.39, 
##     2.31, 2.3, 2.33, 2.34, 2.46, 2.09, 0.83, -0.93, -1.62, -1.98, 
##     -2.14, -2.42, -2.73, -2.92, -3.07, -2.97, -2.49, -2.17, -2.02, 
##     -1.73, -1.67, -0.14, 0.34, 1.25, 1.62, 1.77, 2.01, -0.03, 
##     -0.03, -0.06, -0.08, -0.08, -0.13, -0.16, -0.26, -1.24, -3.63, 
##     -4.38, -4.01, -3.45, -3.05, -2.95, -3, -2.92, -1.96, -1.41, 
##     0.48, 0.66, 0.87, 0.92, 0.95, 1.16, 1.56, 2.5, 3.03, 3.26, 
##     3.36, 3.5, 3.36, 3.36, 1.65, 0.63, -0.08, -1.17, -1.72, -2.33, 
##     -2.94, -3.34, -3.76, -4.17, -4.45, -4.37, -4.37, -4.29, -4.17, 
##     3.37, 2.65, 2.38, 1.43, -0.11, -0.77, -1.2, -1.41, -1.59, 
##     -1.77, -2.1, -4.01, -4.22, -4.53, -4.51, -3.97, -3.73, -3.39, 
##     0.26, 1.48, 1.64, 1.86, 2.23, 3.12, 3.61, 3.6, 3.44, 1.17, 
##     0.75, -1.85, -2.28, -3.44, -4.06, -3.28, -3.13, 0.96, 2.23, 
##     2.36, 2.65, 2.78, 3.18, 3.58, 3.69, 3.71, 3.31, 3.18, 2.25, 
##     1.99, 1.38, -0.74, -1.09, -2.63, -3.61, -4.01, -4.19, -4.32, 
##     -4.5, -4.61, -4.64, -3.76, -3.36, -2.89, -2.67, -2.47, -2.26, 
##     -1.45, 2.06, 2.87, 3.03, 3.12, 3.26, 3.34, 3.32, 3.02, 2.89, 
##     2.78, 2.18, 0.95, 0.69, 0.43, -0.92, -1.46, -1.78, -2.68, 
##     -3.15, -3.45, -3.58, -3.68, -3.77, -3.89, -3.92, -3.2, -2.54, 
##     -2.26, -1.89, -1.67, -0.14, 0.22, 1.01, 1.61, 2.46, 2.55, 
##     2.87, 2.95, 3.23, 3.37, 3.34, 3.12, 2.65, 2.54, 2.79, 2.81, 
##     2.73, 2.22, 0.8, -1.72, -2.1, -3.13, -3.82, -3.61, -3.29, 
##     -2.97, -2.3, -1.98, -1.8, -1.57, -1.27, 0.79, 1.09, 1.4, 
##     2.54, 3.31, 3.4, 3.56, 3.58, 3.45, 1, 1.03, 0.53, 0.26, 0.63, 
##     1.85, 1.75, 1.7, 1.65, 1.64, 1.83, 1.7, 0.37, -0.77, -2.17, 
##     -2.91, -4.61, -6.12, -6.34, -6.37, -6.36, -6.09, -5.68, -4.87, 
##     -4.14, 2.83, 3.29, 3.79, 3.68, 3.92, 3.23, 3.26, 2.65, 2.3, 
##     1.61, -0.37, -0.55, -1.27, -1.59, -2.52, -2.79, -3.05, -4.11, 
##     -4.77, -4.88, -5.15, -5.03, -5.94, -5.38, -1.73, 2.7, 3.55, 
##     3.28, 3.2, 3.6, 3.74, 3.37, 3.37, 2.63, 2.5, 2.3, 1.93, 1.77, 
##     -0.31, -0.71, -0.87, -3.08, -3.87, -4.16, -4.35, -4.35, -4.43, 
##     -4.75, -5.65, -6.13, -1.24, 2.78, 2.68, 2.75, 2.92, 1.51, 
##     1.46, 0.5, -0.06, -0.22, -0.39, -0.92, -1.11, -1.24, -1.65, 
##     -1.67, -1.45, -1.48, -1.51, -1.53, -1.53, -1.57, -1.27, -1.17, 
##     -0.53, -0.47, -0.48, -0.53, -0.87, 1.12, 1.62, 1.89, 2.22, 
##     2.28, 2.36, 2.5, 2.57, 2.33, 2.28, 1.83, 1.69, 1.56, 1.41, 
##     1.11, 0.1, 0.03, -0.02, -0.47, -0.56, -0.8, -0.69, -0.5, 
##     -0.43, -0.47, -0.56, -0.61, -0.55, -0.27, 1.04, 1.22, 1.94, 
##     1.98, 2.02, 2.1, 1.93, 1.75, 1.78, 1.77, 1.8, 1.8, 1.43, 
##     0.83, 0.11, -0.96, -1.53, -1.88, -1.62, -1.56, -1.28, -1.17, 
##     -1.22, -1.14, -1.09, -1.01, -0.96, -0.85, -0.61, -0.5, -0.5, 
##     -0.51, -0.5, -0.61, 0.93, 1, 1.73, 1.96, 2.46, 2.57, 2.12, 
##     1.81, 1.7, 1.51, 1.41, 1.33, 1.25, 1.28, 1.32, 1.3, 1.01, 
##     -0.03, -0.34, -0.67, -0.85, -1.65, -1.72, -1.75, -1.75, -1.72, 
##     -1.7, -1.61, -1.25, -1.03, -0.85, -0.58, -0.42, -0.71, -1.09, 
##     0.22, 0.48, 0.85, 0.98, 1.06, 1.4, 1.41, 1.75, 1.85, 1.83, 
##     1.78, 1.83, 1.83, 1.77, 1.81, 1.86, 2.14, 2.09, 2.15, 2.14, 
##     2.15, 1.94, 1.35, 1.24, 1.33, 0.82, 0.59, 0.31, 0.19, 0.16, 
##     0.14, 0.26, 0.4, 0.45, -1.28, -2.68, -2.79, -3.02, -3.15, 
##     -3.6, -3.13, -2.95, -2.7, -2.54, -1.67, -1.59, -1.11, -0.64, 
##     0.02, 0.55, 1.94, 2.63, 2.71, 2.7, 2.79, 2.63, 2.76, 2.67, 
##     2.55, 2.5, 2.28, 2.18, 0.35, -1, -1.3, -1.49, -3.29, -3.39, 
##     -3.08, -2.63, -2.39, -1.69, -1.51, -1.41, -1.25, -1.2, -0.83, 
##     -0.67, -0.71, -0.4, -0.34, 0.13, 0.83, 1.64, 1.91, 2.31, 
##     2.28, 2.34, 2.36, 2.33, 2.5, 2.54, 2.57, 2.7, 2.47, 2.44, 
##     2.34, 2.22, 1.33, -0.4, -0.88, -2.18, -2.33, -2.36, -3.02, 
##     -3.07, -3.07, -2.17, -1.77, -1.69, -1.45, -1.45, -1.49, -1.49, 
##     -1.48, -1.24, -1.06, -0.85, -0.03, 1.25, 1.49, 1.7, 2.18, 
##     2.36, 2.36, 2.39, 2.42, 2.46, 2.39, 2.46, 2.54, 2.59, 2.63, 
##     2.68, 2.63, 2.6, 2.6, 2.63, -2.67, -2.7, -2.78, -2.73, -2.36, 
##     -2.33, -2.06, -1.56, -1.17, -1, -0.98, -0.8, -0.39, 0.03, 
##     0.26, 0.4, 0.93, 1.36, 1.48, 1.57, 1.94, 2.33, 2.23, 2.39, 
##     2.41, 2.52, 2.79, 2.97, 2.78, 2.47, 2.41, 2.15, 2.04, 1.38, 
##     1.08, 0.9, 0.67, 0.21, -0.16, -0.96, -1.56, -1.62, -1.78, 
##     -1.89, -2.26, -2.5, -3.42, -3.56, -2.44, -2.28, -2.01, -1.59, 
##     -1.43, -1.36, -1.36, -1.24, -1.12, -0.77, 1.08, 1.56, 1.77, 
##     2.04, 2.17, 2.73, 3.07, 3.15, 3.1, 2.92, 2.38, 2.33, 1.98, 
##     1.85, 1.33, 0.24, -0.02, -0.11, -0.53, -0.74, -1.53, -1.67, 
##     -1.88, -1.93, -2.41, -2.6, -2.79, -2.99, -2.39, -1.73, -1.7, 
##     -1.64, -0.37, -0.1, 0.08, 0.72, 0.85, 0.96, 1.36, 1.49, 1.61, 
##     1.73, 2.54, 2.81, 2.83, 2.87, 3.02, 3.16, 2.86, 2.95, 2.97, 
##     3.08, 2.04, 1.43, 0.43, -1.2, -1.59, -1.7, -2.06, -2.22, 
##     -2.49, -3.23, -3.2, -3.12, -2.95, -1.77, -1.64, -1.59, -1.33, 
##     -1.25, -1.16, 0.87, 1.43, 1.94, 2.28, 2.59, 2.67, 2.71, 3, 
##     2.99, 2.87, 2.89, 2.84, 2.7, 2.07, 1.46, 1.28, 0.72, 0.5, 
##     3.74, 2.26, 1.33, 1.06, 0.74, -1.81, -3.6, -4.4, -4.66, -4.69, 
##     -4.69, -4.58, -4.3, -4.16, -4, -3.81, -3.5, 1.22, 1.67, 3.2, 
##     4.01, 4.14, 3.98, 3.9, 3.82, 3.68, 3.66, 3.63, 3.52, 3.21, 
##     2.84, -0.34, -0.63, -0.88, -1.7, -3.58, -4.17, -4.26, -4.3, 
##     -4, -3.93, -2.71, -2.46, -0.42, 1.98, 3.6, 3.63, 3.37, 3.36, 
##     -0.42, 0.03, 0.02, 0, -0.02, -0.03, 0.02, 0.02, 0, -0.08, 
##     -1.78, -2.44, -3.95, -4.06, -4.96, -4.99, -4.48, -4.22, -3.98, 
##     -3.08, -2.73, -2.26, -1.86, -0.8, 0.35, 1.27, 1.77, 2.22, 
##     2.5, 2.34, 2.28, 2.28, -0.24, -1.03, -1.86, -2.04, -2.18, 
##     -3.39, -3.58, -3.73, -2.81, 2.17, 2.71, 2.94, 3, 2.7, 2.71, 
##     2.68, 2.38, 2.15, 1.77, 1.61, 1.28, -1.89, -2.97, -3.53, 
##     -3.71, -4.05, -4.13, -4.13, -4.05, -3.87, -2.3, -1.01, 2.34, 
##     2.59, 2.68, 3.12, 2.73, 1.61, 1.35, 0.32, -0.88, -1.16, -1.73, 
##     -2.02, -2.25, -2.63, -3.47, -3.58, -3.71, -2.84, -1.41, -0.71, 
##     1.12, 2.09, 2.67, 2.87, 2.91, 3.13, 3.16, 3.1, 2.94, 2.78, 
##     2.57, 2.23, 2.07, 2.04, 1.12, 0.53, -0.18, -0.4, -0.92, -1.38, 
##     -2.2, -2.34, -3.08, -3.36, -3.66, -4, 1.54, 1.96, -3.79, 
##     -4, -4.03, -4.22, -4.29, -4.22, -3.98, -3.4, -2.89, 0.31, 
##     0.93, 1.89, 2.22, 2.38, 3.47, 3.42, 2.89, 2.71, 2.63, 2.5, 
##     2.41, 2.31, 1, 0.67, 0.37, -1.09, -1.38, -2.68, -3.66, -3.89, 
##     -4.08, -4.21, -4.42, -4.34, -3.71, -3.47, -3.24, -2.02, -1.53, 
##     2.99, 3.16, 3.66, 3.32, 3.03, 2.75, 2.42, 1.11, -0.16, -0.87, 
##     -2.15, -2.54, -2.91, -3.31, -4.01, -4.05, -4.01, -3.73, -2.76, 
##     0.98, 1.75, 2.23, 2.6, 2.92, 3.12, 3.76, 3.53, 2.92, 2.5, 
##     2.36, 2.23, 2.12, 1.11, 0.69, -0.87, -1.73, -2.02, -4.08, 
##     -4.01, -3.48, -2.79, -2.6, -1.91, -2.73, -3, -3.71, -4.13, 
##     -4.14, -4.03, -2.52, -2.12, -0.8, 0.45, 1.3, 1.57, 1.99, 
##     -0.05, 0.02, 0.03, 0, 0, -0.06, -0.05, -0.03, 0.03, 0.05, 
##     0.05, 0.02, -0.03, 0, 0.03, 0, 0, -0.03, 0, 0.05, 0.02, 0.03, 
##     0.02, 0, -0.05, -0.03, -0.03, -0.02, -0.02, -0.02, 0.03, 
##     0.06, 0.08, 0.19, 0.22, 0.34, 0.24, 0.27, 0.26, 0.13, 0.13, 
##     0.1, 0.05, -0.45, -0.64, -0.74, -0.88, -1.06, -1.06, -0.79, 
##     0.51, 0.74, 0.75, 0.67, 0.53, 0.45, 0.21, 0.03, -0.03, -0.06, 
##     -0.02, 0, 0.03, 0.02, 0.02, 0.02, 0.05, 0.05, 0.06, 0.08, 
##     0.06, 0.05, 0.08, 0.05, 0.06, -0.03, -0.13, -0.05, 0.02, 
##     0.06, -0.02, -0.03, -0.02, 0, 0.03, -0.05, -0.06, 0.02, 0.03, 
##     0.05, 0.03, 0.02, 0.02, 0, 0, -0.05, -0.08, -0.08, -0.05, 
##     -0.02, -0.02, 0, 0, -0.02, -0.02, 0.02, 0.06, 0.08, 0.08, 
##     0.14, 0.13, 0.13, 0.71, 1.19, 1.43, 1.59, 1.46, 1.32, 1.22, 
##     0.85, 0.56, 0.14, 0.05, -0.05, -0.19, -0.35, -0.32, -0.1, 
##     -0.02, 0.18, 0.24, 0.31, 0.13, -1.16, -1.59, -2.76, -3.9, 
##     -5.49, -5.48, -5.48, -5.64, -5.68, -5.65, -4.88, -4.72, 0.51, 
##     2.23, 2.75, 3.55, 3.84, 4, 3.98, 4.16, 4.5, 4.21, 4.22, 4.26, 
##     4.32, 3.02, 1.01, -0.67, -4.08, -4.69, -4.58, -4.3, -2.94, 
##     -0.87, 2.34, 3.56, 3.74, 4.01, 4.53, 4.64, 3.9, 3.56, 3.24, 
##     2.57, -0.96, -3.34, -4.06, -5.22, 0.53, -1.88, -4.26, -4.53, 
##     -4.87, -5.14, -5.06, -4.78, -4.42, -4.27, -3.21, -2.87, -1.3, 
##     0.59, 1.69, 3.26, 3.52, 3.79, 3.53, 3.87, 3.58, 3.61, 3.37, 
##     0.47, 0.22, -0.31, -1.75, -2.18, 1.96, 1.06, 0.75, -2.17, 
##     -4.05, -4.21, -4.59, -3.97, -3.82, -3.2, -0.79, -3.63, -4.5, 
##     -4.42, -4.26, -3.97, -3.66, -2.7, -2.23, 1.08, 1.57, 2.25, 
##     2.84, 2.97, 3.58, 3.74, 3.66, 4.21, 3.93, 0.21, -0.69, -4.45, 
##     -4.66, -4.87, -5.07, -3.24, -2.75, -1.67, 0.39, 0.26, 0.05, 
##     -0.22, -0.77, -1.25, -1.99, -2.28, -2.42, -1.96, -1.3, -0.32, 
##     -0.13, 0, 0.4, 0.55, 0.95, 0.98, 1.06, 1.32, 1.69, 1.78, 
##     1.85, 1.85, 1.85, 1.85, 1.77, 1.81, 1.54, 1.35, 1.09, 1.01, 
##     0.92, 0.85, 0.51, 0.5, 0.47, 0.45, 0.43, 0.35, 0.27, -0.61, 
##     -0.83, -1.03, -1.65, -2.07, -2.33, -2.55, -2.3, -2.1, -1.78, 
##     -0.53, 0.35, 0.67, 0.92, 1.22, 1.69, 1.83, 2.28, 2.54, 2.3, 
##     2.25, 2.07, 1.91, 1.77, 1.64, 1.36, 1.14, 1.04, 0.98, 0.96, 
##     0.67, 0.37, 0.18, 0.03, -0.03, -0.31, -0.4, -0.5, -1.46, 
##     -2.07, -0.48, -0.02, 0.58, 0.83, 1.16, 1.46, 1.83, 2.6, 2.46, 
##     1.72, 1.67, 1.57, 0.92, 0.74, 0.53, 0.48, 0.37, -0.08, -0.43, 
##     -0.8, -0.9, -1.28, -1.4, -1.54, -1.69, -2.07, -2.46, -2.55, 
##     -2.75, -2.71, -2.67, -2.59, -2.47, -2.38, -1.86, -1.75, -0.83, 
##     -0.45, 0.61, 0.59, 0.5, 0.56, 0.58, 0.58, 0.59, 0.63, 0.72, 
##     1.53, 1.7, 2.1, 2.67, 3.05, 3.36, 2.71, 2.71, 1.94, 1.8, 
##     1.72, 1.72, 1.36, 1.3, 1.09, 1.01, 0.55, 0.48, 0.39, 0.39, 
##     0.31, 0.29, 0.22, 0.14, 0.13, 0.13, -0.02, -0.1, -0.05, 0.02, 
##     0.06, 0.16, 0.27, 0.39, 0.4, 0.47, 0.79, 0.77, 0.55, 0.48, 
##     0.31, 0.18, -0.55, -2.79, -3.2, -3.98, -4.08, -4.16, -4.19, 
##     -4.01, -3.97, -3.95, -3.76, -3.37, -2.71, -2.06, -1.48, -1.22, 
##     -0.85, 0.34, 0.75, 1.24, 1.36, 1.54, 1.89, 2.01, 3.08, 3.28, 
##     3.4, 3.36, -2.26, -2.68, -2.81, -2.94, -3.12, -3.4, -3.52, 
##     -3.53, -3.58, -3.31, -3.24, -3.21, -3.18, -3.07, -2.55, -2.42, 
##     -1.7, -0.45, -0.02, 0.92, 1.43, 1.83, 2.86, 3.21, 3.28, 3.52, 
##     3.5, 3.36, 3.42, 3.36, 3.1, 2.92, 2.79, 2.75, 2.78, 2.68, 
##     2.41, 2.41, 2.49, 1.62, 1.35, 0.48, -0.95, -1.25, -3.18, 
##     -3.37, -3.69, -3.81, -3.58, -3.52, -3.31, -3.28, -2.68, -2.2, 
##     -1.85, -0.79, -0.43, 0.51, 0.92, 1.2, 1.3, 1.8, 2.06, 2.67, 
##     0.56, 0.31, 0.06, -1.36, -2.99, -2.86, -2.7, 2.41, 3.16, 
##     3.16, 3.1, 3.2, 3.15, 2.94, 3, 3.18, 3.13, 3, 3.34, 3.31, 
##     3.36, 3.18, 3.02, 2.84, 2.6, 2.54, 2.04, 1.14, 1.22, 1, 0.83, 
##     -0.24, -0.69, -1.99, 0.42, 0.43, 0.43, 0.42, 0.42, 0.53, 
##     0.48, 0.55, 0.5, 0.31, 0.29, 0.21, 0.31, -3.6, -4.17, -4.14, 
##     -4.32, -4.32, -3.97, -3.15, 1.33, 1.77, 2.25, 2.87, 3.24, 
##     3.16, 2.34, 1.8, 1.46, -1.03, 3.39, 3.6, 3.71, 3.37, 2.81, 
##     2.6, 1.96, 0.96, 0.74, -0.13, -0.96, -1.28, -2.14, -2.86, 
##     -4.14, -4.26, -4.35, -4.45, -4.48, -4.46, -4.54, -5.46, -5.72, 
##     -5.84, -5.41, 3.37, 3.76, 3.84, 3.63, 3.52, 2.86, 2.91, 2.87, 
##     2.47, 1.04, 0.02, -0.18, -1.06, -1.81, -2.06, -2.3, -2.97, 
##     -4.21, -4.32, -4.13, -4.16, -4.03, -3.95, -3.42, -1.46, 1.41, 
##     2.23, 2.6, 2.94, 3.37, 3.58, 3.1, 3.2, 3.24, 3.55, 3.74, 
##     3.74, 3.89, 3.52, 3.68, 3.64, 3.42, 3.4, 2.89, 0.88, 0.53, 
##     0.24, -0.24, 2.22, 2.6, 2.92, 3.36, 3.74, 4.17, 4.34, 4.62, 
##     4.53, 3.85, 3.6, 3.48, 3.1, 3.02, 2.84, 2.52, 1.64, 1.09, 
##     0.08, -0.06, -0.63, -4.5, -4.54, -4.56, -4.67, -4.58, -4.53, 
##     -4.38, -4.27, -3.68, -2.5, -0.34, -0.22, -0.16, -0.16, -0.31, 
##     -0.27, -0.31, -0.32, -0.37, -0.34, -0.32, -0.34, -0.48, -0.56, 
##     -0.56, -0.51, -0.51, -0.48, -0.43, -0.39, -0.31, -0.24, -0.21, 
##     -0.21, -0.13, -0.06, 0.1, 0.18, -0.24, 0.42, 3.77, 3.68, 
##     3.89, 4.24, 3.73, 3.6, 3.37, 3.29, 2.14, 1, 0.67, 0.4, -0.05, 
##     -0.64, -1.86, -2.99, -4.27, -4.08, -4.21, 0.5, 1.7, 3, 3.5, 
##     3.39, 3.73, 3.53, 3.73, 2.57, 2.49, 2.47, 2.5, 2.01, 1.46, 
##     0.9, -0.16, -0.93, -1.11, -1.25, -1.36, -1.53, -2.2, -2.47, 
##     -2.55, -2.63, 1, 2.73, 2.89, 3.02, 3.53, 3.55, 3.76, 3.6, 
##     3.76, 3.64, 3.97, 3.18, 0.88, 0.58, -1.03, -1.88, -3.03, 
##     -4.16, -4.38, -4.43, -4.7, -4.77, -4.8, -4.13, -0.69, 1.19, 
##     1.64, 2.78, 3.34, 3.74, 3.74, -5.31, -5.06, -4.11, -4.19, 
##     -3.12, -2.26, -1.8, 2.02, 2.5, 3.12, 3.42, 3.84, 4.22, 4.09, 
##     4.19, 4.82, 4.29, 2.5, 1.8, -0.08, -0.1, 0, -0.02, 0.08, 
##     0.08, 0.06, 0.03, 0.06, 0.05, 0.03, 0.02, 0.03, 0.02, 1.11, 
##     3.05, 3.26, 3.2, 2.99, 2.78, 2.68, 1.83, 1.7, 1.62, 1.32, 
##     0.87, -0.51, -0.79, 2.34, 2.62, 3.2, 2.99, 2.34, 2.18, 2.23, 
##     2.18, 1.69, -1.03, -1.65, -1.91, -2.2, -2.44, -2.65, -2.84, 
##     -3.05, 2.79, 2.76, 2.91, 2.84, 2.87, 2.76, 2.42, 1.51, 0.98, 
##     0.67, 0.1, -0.5, 2.01, 2.09, 2.7, 3.07, 3.84, 3.6, 2.46, 
##     1.03, 0.83, 0.74, 0, -0.4, -0.48, -0.58, -0.58, -0.37, -0.18, 
##     -0.18, -0.19, -1.32, -2.15, -2.75, -2.97, -3.74, -4.06, -4.72, 
##     -5.01, -5.57, -4.61, -4.37, -4.14, -2.17, -0.59, 2.15, 1.69, 
##     1.27, 0.75, -1.99, -3.82, -4.13, -4.42, -4.67, -4.59, -4.59, 
##     -4.13, -3.74, -2.54, 1.7, 3.03, -1.72, -2.39, -2.71, -4.19, 
##     -4.45, -4.64, -4.54, -4.3, -3.63, -3.29, -2.91, 1.57, 3.13, 
##     3.13, 2.95, 2.71, 2.59, 2.65, 2.75, 2.12, 2.01, 0.75, 0.43, 
##     -0.42, -0.63, -3.84, -3.87, -3.4, -0.85, 0.51, 1.04, 1.61, 
##     3.53, 3.69, 3.74, 3.66, 3.55, 3.2, 2.94, 2.04, 1.88, 0.92, 
##     -0.1, -0.37, -1.14, -1.33, -2.6, -3.07, -3.39, -3.47, -3.44, 
##     -3.37, -3.77, -3.5, -3.71, -1.88, 1.38, 1.48, 1.64, 1.75, 
##     2.06, 2.71, 2.78, 3.12, 3.31, 3.52, 3.73, 2.12, 2.22, 2.5, 
##     2.5, 2.59, 2.71, 2.55, 2.73, 2.54, 2.42, 1.43, 1.3, 1.2, 
##     1.12, 0.77, 0.61, 0.47, 0.37, 0.18, 0.03, 0.02, -0.02, 0.29, 
##     -2.04, -3.39, -3.79, -3.82, -3.68, -3.79, -2.36, -2.25, -2.14, 
##     -1.96, -1.62, -0.48, 0.31, 0.55, 0.88, 1.35, 1.51), gyros_arm_y = c(-0.02, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 0, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.03, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 0, 0, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, 0, 0, -0.02, 0, -0.02, 0, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 0, 
##     0, 0, 0, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 0, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.03, -0.03, -0.03, 
##     -0.05, -0.03, -0.05, -0.05, -0.05, -0.05, -0.06, -0.03, -0.02, 
##     0, -0.03, -0.05, -0.08, -0.08, -0.08, -0.1, -0.06, -0.05, 
##     -0.05, -0.05, -0.06, -0.05, -0.05, 0.4, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.26, -0.24, -0.24, -0.24, -0.22, -0.18, -0.06, 
##     -0.14, -0.18, -0.22, -0.22, -0.22, -0.22, -0.24, -0.24, -0.22, 
##     -0.21, -0.19, -0.21, -0.19, -0.19, -0.21, -0.22, -0.22, -0.22, 
##     -0.19, -0.19, -0.22, -0.22, -0.19, -0.08, 0.02, 0.08, 0.1, 
##     0.13, 0.26, 0.29, 0.45, 0.47, 0.5, 0.55, 0.55, 0.56, 0.58, 
##     0.59, 0.29, 0.34, 0.37, 0.47, 0.37, -0.34, -0.66, -0.93, 
##     -1.12, -1.17, -1.27, -1.25, -1.25, -1.25, -1.3, -1.3, -1.24, 
##     -1.25, -0.96, -0.87, -0.4, -0.14, -0.05, -0.02, 0.02, 0.06, 
##     0.21, 0.58, 0.58, 0.58, 0.58, 0.55, 0.47, 0.51, 0.58, 0.74, 
##     0.64, 0.58, 0.45, 0.27, 0.05, -0.61, -1, -1.04, -1.11, -1.14, 
##     -1.14, -1.03, -0.96, -0.92, -1.11, 0.47, 0.47, 0.48, 0.45, 
##     0.53, 0.66, 0.63, 0.22, -0.63, -0.75, -1.01, -1.33, -1.25, 
##     -1.22, -1.25, -1.06, -1.03, -0.87, -0.83, -0.69, -0.64, -0.59, 
##     -0.55, -0.43, -0.05, 0, 0.1, 0.16, 0.31, 0.32, 0.37, 0.4, 
##     0.72, 0.82, 0.71, 0.67, 0.64, 0.77, 0.82, 0.85, 0.75, 0.71, 
##     0.51, 0.37, 0.05, -0.4, -1.4, -1.43, -1.43, -1.36, -1.35, 
##     -0.96, -0.9, -0.82, -0.87, -0.67, -0.5, -0.53, -0.5, -0.43, 
##     -0.18, -0.1, -0.03, 0.03, 0.31, 0.5, 0.59, 0.88, 0.8, 0.77, 
##     -1.14, -1.04, -1, -0.92, -0.93, -0.96, -0.87, -0.92, -0.82, 
##     -0.82, -0.14, -0.08, 0.02, 0.1, 0.26, 0.4, 0.5, 0.61, 0.98, 
##     1, 0.9, 0.85, 0.79, 0.75, 0.64, 0.64, 0.42, -0.64, -0.96, 
##     -1.11, -1.19, -1.41, -1.49, -1.53, -1.54, -1.53, -1.46, -1.22, 
##     -1.19, -1.19, -1.11, -0.92, -0.74, -0.8, -0.82, -0.77, -0.67, 
##     -0.56, -0.39, -0.13, 0, 0.14, 0.27, 0.37, 0.4, 0.48, 0.56, 
##     0.66, 0.59, 0.55, 0.47, -0.58, -0.72, -0.85, -1.24, -1.41, 
##     0.29, 0.34, 0.37, 0.71, 0.74, 0.8, 0.8, 0.69, 0.56, 0.5, 
##     0.51, 0.48, 0.48, 0.47, 0.31, 0.22, -0.14, -0.74, -0.96, 
##     -0.5, -0.29, -0.11, 0.11, 0.32, 0.37, 0.63, 0.87, -1.35, 
##     -1.48, -1.61, -1.8, -1.78, 0.9, 0.75, 0.72, 0.69, 0.75, 0.43, 
##     -0.02, -0.27, -0.53, -1.19, -1.7, -1.98, -1.75, -1.62, -1.35, 
##     -1.12, -0.95, -0.95, -0.53, -0.19, -0.21, -0.19, -0.16, -0.13, 
##     -0.16, -0.27, -0.32, -0.42, -0.47, -0.51, -0.55, -0.51, -0.43, 
##     -0.53, -0.58, -0.63, -0.64, -0.58, -0.53, -0.43, -0.37, -0.32, 
##     -0.32, -0.29, -0.29, -0.31, -0.37, -0.39, -0.48, -0.59, -0.61, 
##     -0.58, -0.53, -0.58, -0.56, -0.42, -0.43, -0.45, -0.45, -0.47, 
##     -0.5, -0.53, -0.63, -0.66, -0.64, -0.59, -0.59, -0.59, -0.59, 
##     -0.5, -0.5, -0.53, -0.53, -0.58, -0.61, -0.9, -0.85, -0.47, 
##     -0.4, -0.42, -0.59, -0.55, -0.51, -0.5, -0.51, -0.51, -0.5, 
##     -0.47, -0.45, -0.45, -0.53, -0.55, -0.61, -0.51, -0.47, -0.42, 
##     -0.42, -0.47, -0.51, -0.5, -0.48, -0.5, -0.51, -0.53, -0.53, 
##     -0.51, -0.5, -0.5, -0.51, -0.53, -0.5, -0.5, -0.48, -0.48, 
##     -0.47, -0.5, -0.53, -0.55, -0.55, -0.53, -0.51, -0.53, -0.53, 
##     -0.53, -0.43, -0.53, -0.55, -0.51, -0.47, -0.42, -0.45, -0.48, 
##     -0.48, -0.48, -0.5, -0.53, -0.56, -0.66, -0.66, -0.58, -0.59, 
##     -0.59, -0.58, -0.51, -0.56, -0.56, -0.48, -0.45, -0.45, -0.45, 
##     -0.43, -0.4, -0.37, -0.5, -0.47, -0.43, -0.06, 0.03, 0.06, 
##     0.03, -0.06, -0.02, 0.18, 0.18, -0.18, -0.31, -0.32, -0.29, 
##     -0.53, -0.56, -0.55, -0.53, -0.55, -0.53, -0.51, -0.51, -0.51, 
##     -0.51, -0.5, -0.47, -0.39, -0.24, -0.19, -0.29, -0.32, -0.39, 
##     -0.47, -0.5, -0.51, -0.48, -0.1, -0.19, -0.34, -0.37, -0.39, 
##     -0.4, -0.4, -0.34, -0.31, -0.24, -0.5, -0.5, -0.51, -0.5, 
##     -0.5, -0.48, -0.5, -0.5, -0.5, -0.51, -0.51, -0.53, -0.53, 
##     -0.55, -0.53, -0.59, -0.58, -0.48, -0.56, -0.53, -0.51, -0.5, 
##     -0.5, -0.5, -0.5, -0.5, -0.51, -0.53, -0.53, -0.53, -0.58, 
##     -0.63, -0.69, -0.67, -0.63, -0.51, -0.5, -0.48, -0.45, -0.45, 
##     -0.48, -0.47, -0.37, -0.45, -0.43, -0.43, -0.31, -0.64, -0.51, 
##     -0.51, -0.61, -0.75, -0.72, -0.43, -0.4, -0.5, -0.53, -0.51, 
##     -0.55, -0.58, -0.51, -0.55, -0.58, -0.56, -0.55, -0.47, -0.47, 
##     -0.45, -0.35, -0.34, -0.39, -0.47, -0.55, -0.61, -0.59, -0.48, 
##     -0.47, -0.51, -0.5, -0.48, -0.32, -0.35, -0.42, -0.42, -0.4, 
##     -0.43, -0.61, -0.58, -0.06, -0.5, -0.42, -0.58, -0.56, -0.61, 
##     -0.59, -0.59, -0.58, -0.58, -0.59, -0.61, -0.61, -0.64, -0.67, 
##     -0.69, -0.63, -0.63, -0.56, -0.53, -0.5, -0.45, -0.32, -0.29, 
##     -0.24, -0.13, -0.39, -0.5, -0.55, -0.63, -0.71, -0.71, -0.67, 
##     -0.64, -0.64, -0.66, -0.26, -0.27, -0.32, -0.47, -0.48, -0.48, 
##     -0.48, -0.37, -0.32, -0.27, -0.4, -0.42, -0.45, -0.48, -0.5, 
##     -0.51, -0.5, -0.69, -0.82, -0.95, -0.93, -0.92, -1.01, -0.98, 
##     -0.95, -1.01, -1.04, -1.09, -1.06, -1.04, -1.06, -0.85, -0.79, 
##     -0.79, -0.83, -0.8, -0.75, -0.72, -0.55, -0.51, -0.51, -0.55, 
##     -0.53, -0.51, -0.19, 0, -0.59, -0.58, -0.63, -0.87, -0.93, 
##     -0.95, -0.92, -0.96, -0.93, -0.98, -1.01, -1.06, -1.01, -1.03, 
##     -0.98, -0.96, -0.93, -0.88, -0.71, -0.74, -0.53, -0.58, -0.58, 
##     -0.56, -0.42, -0.21, 0.24, 0.22, 0.16, 0.1, 0.02, -0.16, 
##     -0.19, -0.19, -0.26, -0.31, -0.42, -0.47, -0.48, -0.47, -0.4, 
##     -0.42, -0.5, -0.5, -0.5, -0.51, -0.67, -0.85, -1.03, -1.03, 
##     -1.06, -1.08, -1.38, -1.35, -1.16, -1.16, -1.32, -1.25, -0.92, 
##     -0.96, -1, -0.98, -0.93, -0.66, -0.77, -0.72, -0.55, -0.48, 
##     -0.51, -0.51, -0.55, -0.55, -0.56, -0.56, -0.51, -0.5, -0.42, 
##     0.06, 0.14, 0.21, 0.24, 0.43, -0.21, -0.27, -0.34, -0.34, 
##     -0.32, -0.39, -0.55, -0.55, -0.87, -0.95, -1.12, -1.24, -1.12, 
##     -1.12, -1.11, -1.11, -1.3, -1.38, -1.03, -1.09, -1.01, -0.79, 
##     -0.77, -0.83, -0.59, -0.53, -0.5, -0.48, -0.43, -0.39, 0.06, 
##     0.58, 0.66, 0.21, -0.05, -1.46, -1.27, -1.3, -1.33, -0.98, 
##     -1.01, -0.95, -0.79, -0.9, -0.87, -0.87, -0.8, -0.71, -0.4, 
##     -0.43, -0.55, -0.32, 0.4, 0.42, 0.43, 0.45, 0.56, 0.59, 0.63, 
##     0.48, 0.05, 0.16, -0.05, -0.06, -0.16, -0.26, -0.22, -0.32, 
##     -0.34, -0.35, -0.42, -0.45, -0.48, -0.5, -0.47, -0.48, -0.53, 
##     -0.61, -0.69, -1.48, -1.46, -1.41, -1.4, -1.35, -1.35, -1.4, 
##     -1.32, -1.27, -1.25, -1.16, -1.16, -1.12, -1.08, -1.06, -1.06, 
##     -0.27, -0.47, -0.4, -0.42, -0.47, -0.5, -0.53, -0.51, -0.43, 
##     -0.45, -0.56, -0.58, -0.59, -0.63, -0.66, -0.67, -0.85, -0.98, 
##     -1.09, -1.12, -1.17, -1.17, -1.17, -0.19, 0.1, -0.1, -0.19, 
##     -0.22, -0.22, -0.19, -0.14, -0.1, -0.05, -0.02, -0.02, -0.03, 
##     -0.05, -0.05, -0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 0, 
##     0, -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
##     0.02, 0, 0.02, 0, 0, 0, 0, -0.02, -0.02, 0, -0.02, 0, 0, 
##     0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 
##     0, 0, 0.02, 0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 
##     0, 0.02, -0.02, -0.02, 0, 0, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, 0.02, 0, 0.02, 0.02, -0.02, -0.02, -0.02, 0, -0.06, 
##     -0.06, -0.05, 0.03, 0.03, 0.05, 0.05, 0.03, 0.02, 0, 0, -0.02, 
##     -0.02, 0.02, 0.02, 0.02, 0, -0.05, -0.03, -0.03, -0.03, 0.08, 
##     0.16, 0.26, 0.64, 0.82, 0.87, 0.72, 0.61, 0.55, 0.53, 0.5, 
##     0.45, 0.32, 0.24, 0.08, 0.02, 0.05, 0.27, -0.26, 0.03, 0.13, 
##     0.16, 0.05, -0.14, -0.13, 0, 0.02, 0.05, 0.08, 0.18, 0.22, 
##     0.4, 0.43, 0.63, 0.82, 0.74, 0.56, 0.48, 0.29, 0.29, 0.34, 
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##     -0.48, -0.42, -0.22, -0.11, 0.74, 0.75, 0.71, 0.71, 0.71, 
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##     -0.59, 0.08, 0.42, 0.43, 0.56, 0.63, 0.69, -0.02, 0, -1.08, 
##     0.34, 0.64, 0.83, 1, 1.08, 1.33, 1.3, 1.19, 1.12, 1.03, 0.98, 
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##     -0.21, -0.22, -0.22, -0.24, -0.22, -0.26, -0.22, -0.14, 0.43, 
##     0.67, 0.92, 0.95, 1.04, 1.12, 1.14, 1.03, 1.08, 1.22, 1.25, 
##     1.2, 1.14, -0.42, -0.92, -1.53, -1.78, -2.41, -2.68, -2.52, 
##     -2.42, -2.3, -2.25, -2.1, -2.04, -1.98, 1.33, 1.3, 1.22, 
##     1.22, 0.69, -0.47, -1.28, -1.75, -1.89, -2.22, -2.2, -2.04, 
##     -1.91, -1.85, -1.78, -1.65, -1.35, -1.35, -1.14, -1.08, -1.01, 
##     -0.9, -0.61, -0.45, -0.08, -0.05, -0.08, -0.02, 0.34, 1.12, 
##     1.19, 1.22, 1.32, 1.57, 1.49, 1.19, 1.2, 1.54, 1.59, -0.06, 
##     -1.01, -1.59, -1.96, -2.06, -2.07, -2.06, -1.81, -1.75, -1.53, 
##     -1.27, -1.19, -1.12, -1.11, -1.17, -1.11, -0.48, 1.17, 1.28, 
##     1.38, 1.14, 1.3, 1.3, 1.41, 1.48, 0.9, -1.38, -2.33, -2.5, 
##     -2.68, -2.68, -2.46, -2.31, -0.93, -0.4, -0.21, 0.18, 0.43, 
##     0.92, 1.01, 1.24, 1.12, 1.32, 1.53, 1.57, 1.48, 1.36, -1.22, 
##     -1.61, -1.83, -2.09, -2.62, -3.44, 1.25, 1.53, 1.54, 1.46, 
##     1.41, 1.46, 1.53, 1.41, 1.4, 1.16, -0.87, -2.1, -2.6, -2.78, 
##     -2.75, -2.57, -2.14, -1.98, -1.36, -0.55, -0.45, -0.39, -0.35, 
##     -0.45, -0.27, 0.18, 0.4, 0.88, 1.61, 1.59, 1.49, 1.65, 1.77, 
##     1.83, 1.98, 1, -1.17, -1.62, -1.78, -2.17, -2.3, -1.33, -1, 
##     -1.22, -1.36, -1.43, -1.4, -0.32, -0.27, -0.26, -0.19, 0.55, 
##     1.49, 1.81, -0.66, -0.13, -0.05, 0.13, 0.32, 0.37, 0.39, 
##     0.43, 0.74, 1.03, 1.59, 1.7, 1.62, 1.59, 1.61, 2.14, 2.36, 
##     2.46, 2.42, 2.36, -1.43, -2.23, -2.6, -2.71, -2.92, -3.07, 
##     -2.86, -2.65, -2.18, -1.86, -1.73, -1.53, -1.12, -0.11, -0.02, 
##     0.14, 0.21, 0.37, 0.63, 1.04, 1.2, 1.59, 1.72, 1.83, 1.89, 
##     1.7, 1.69, 1.83, 1.85, 1.85, 1.89, 1.72, 1.12, 0.83, -0.58, 
##     -1.57, -1.62, -1.36, -1.16, -1.19, -1.2, -1.16, -1.17, -1.03, 
##     -0.96, -0.43, -0.4, -0.35, -0.27, -0.24, -0.14, -0.13, -0.1, 
##     -0.06, -0.05, -0.03, -0.02, 0.03, 0.08, 0, -0.11, -0.16, 
##     -0.13, -0.08, -0.06, -0.16, -0.16, -0.08, -0.03, 0.02, 0.03, 
##     0.06, 0.05, 0.02, 0.02, 0.02, 0, -0.03, -0.03, 0.02, 0.02, 
##     -0.03, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0.03, 0.03, 0.03, 
##     0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.03, 0.03, 
##     -0.02, 0, 0.03, 0.03, 0.02, -0.03, -0.08, -0.06, 0, 0.05, 
##     0.14, 0.21, 0.27, 0.53, 0.58, 0.59, 0.64, 0.66, 0.66, -1.33, 
##     -1.38, -1.43, -1.36, -1.28, -1.17, -1.14, -1.12, -1.08, -1.04, 
##     -0.92, -0.58, -0.26, -0.13, -0.11, -0.05, 0, 0.02, 0.03, 
##     0.1, 0.43, 0.85, 0.95, 0.96, 1.16, 1.28, 1.4, 1.41, 1.24, 
##     1.04, 0.87, 0.67, 0.69, 0.75, 0.85, 0.71, -0.35, -1.04, -1.36, 
##     -1.41, -1.43, -1.43, -1.32, -1.27, -1.28, -1.41, -1.08, -0.9, 
##     -0.8, 0.74, 0.93, 1.38, 1.35, 1.28, 1.28, 1.2, 0.8, 0.74, 
##     0.71, 0.71, 0.72, 0.75, 0.67, 0.71, 0.87, -0.67, -1.03, -1.12, 
##     -1.45, -1.57, -1.53, -1.49, -1.49, -1.49, -1.48, -1.49, -1.49, 
##     -1.36, -1.01, -0.85, -0.72, -0.66, -0.69, -0.74, -0.58, -0.1, 
##     -0.11, -0.13, -0.13, -0.19, -0.18, -0.13, 0.08, 0.35, 0.51, 
##     1.28, 1.45, 1.54, 1.04, 0.98, 0.93, 0.9, 0.72, 0.64, 0.75, 
##     1.01, 1, 0.5, 0.21, -0.8, -1, -1.03, -1.06, -1.32, -1.35, 
##     -1.41, -1.35, -1.45, -1.48, -1.46, -1.46, -1.2, -1.03, -0.71, 
##     -0.11, 0.19, 0.51, 0.61, 1.49, 1.43, 1.36, 1.28, 1.22, 1.22, 
##     1.25, 1.24, 1, 1, 1, 0.64, 0.13, -0.82, -1.01, -1.2, -1.28, 
##     -1.8, -1.89, 1.49, 1.4, 1.36, 1.28, 1.22, 1.17, 1.12, 1.12, 
##     1.09, 1.08, 1.06, 1.03, 0.87, 0.95, 1.01, 0.93, 0.79, 0.59, 
##     -0.55, -0.74, -1.14, -1.16, -1.24, -1.54, -1.61, -1.36, -1.35, 
##     -1.33, -0.22, -0.14, -0.03, 0.05, 0.21, 0.24, 0.4, 1.17, 
##     1.45, 1.57, 1.62, 1.54, 1.28, 1.28, 1.27, 1.19, 1.08, -0.67, 
##     -1.24, -1.32, -1.45, -1.49, -1.46, -1.35, -1.35, -1.22, -1.04, 
##     -0.96, -0.64, -0.67, -0.61, -0.56, -0.19, -0.14, -0.1, 0.08, 
##     0.24, 0.29, 0.34, 0.4, 1.14, 1.24, 1.33, 1.32, 1.24, 1.24, 
##     1.12, 1.17, 0.83, -0.45, -1.19, -1.25, -1.35, -1.46, -1.4, 
##     -1.32, -1.2, -1.14, -1.08, -1.08, -1.03, -0.83, -0.74, -0.74, 
##     -0.66, -0.58, -0.53, -0.24, -0.16, 0.39, 0.42, 0.95, 1.11, 
##     1.06, 1.06, 0.9, 0.85, 0.66, 0.48, 0.22, -0.05, -0.34, -0.26, 
##     -0.37, -0.87, -1.06, -1.09, -1.12, -1.16, -1.24, -1.17, 1.04, 
##     1.03, 0.96, 0.92, 0.74, 0.4, 0.64, 0.9, 0.92, 0.59, 0.34, 
##     -0.24, -0.16, -0.05, -0.21, -1.06, -1.03, -1.03, -1.04, -1.14, 
##     -1.3, -0.96, -0.8, -0.53, -0.47, -0.27, 0.06, 0.34, -0.47, 
##     -0.59, -0.79, -1.04, -1.2, -1.33, -1.4, -1.25, -1.28, -1.3, 
##     -1.35, -0.9, -0.74, -0.66, -0.5, -0.64, -0.59, -0.45, -0.37, 
##     -0.19, -0.08, 0.02, -0.03, -0.1, -0.1, -0.06, -0.05, -0.02, 
##     0, -0.03, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, -0.02, 
##     -0.02, 0, 0, -0.02, -0.03, -0.03, 0, 0, -1.64, -1.49, -1.33, 
##     -1.36, -1.48, -1.57, -1.35, -0.85, -0.56, -0.39, -0.02, 0.13, 
##     0.22, 0.39, -1.99, -1.8, -1.75, -1.73, -1.11, -0.59, -0.47, 
##     -0.45, -0.39, -0.27, -0.22, -0.14, 0.22, 0.77, 1.04, 1.61, 
##     1.59, 1.57, 1.56, 1.67, 1.72, 1.65, 1.04, 0.18, -0.03, 0.11, 
##     0.51, 0.69, 1.08, 1.2, 1.38, 1.49, 1.59, 1.59, 0.87, 0.79, 
##     0.64, -0.32, -0.48, -1.12, -1.4, -1.77, -1.67, -1.57, -1.43, 
##     -1.45, -1.43, -1.38, -0.47, -0.43, 0.43, 0.69, 1.17, 1.38, 
##     1.22, 1.36, 1.48, -1.28, -1.22, -1.16, -0.98, -0.93, -0.79, 
##     -0.47, -0.39, -0.26, -0.26, -0.22, -0.1, 0.34, 0.5, 0.95, 
##     -1.11, -1.86, -2.01, -2.1, -2.2, -1.77, -1.7, -1.65, -1.03, 
##     -0.83, -0.79, -0.59, -0.61, -0.51, -0.37, -0.22, -0.13, 0.4, 
##     0.47, 0.85, 1.38, 1.36, 1.27, 1.19, 1.16, 1.14, 1, 0.98, 
##     0.95, 0.9, 0.24, -0.02, -0.24, -1.19, -1.4, -1.86, -1.93, 
##     -2.02, -2.12, -1.83, -1.67, -1.59, -1.3, -1.01, -0.71, -0.53, 
##     -0.39, -1.36, -1.24, -1.36, -1.22, -0.95, -1.27, -1.35, -1.28, 
##     -1.36, -1.43, -1.36, -0.83, -0.29, 0.1, 0.16, 0.24, 0.67, 
##     0.82, 0.96, 1.24, -1.49, -1.33, -1.54, -1.51, -0.75, 0.21, 
##     0.56, 0.85, 0.98, 1.75, 1.83, 1.72, 1.59, 1.49, 1.3, 0.77, 
##     0.14, -0.11, -0.16, -0.11, -0.35, -0.48, -1.51, -1.69, -1.06, 
##     -1.06, -0.95, -0.71, -0.58, -0.37, 0.26, 0.37, 0.4, 0.42, 
##     0.11, 0, -0.05, -0.03, -0.03, -0.02, -0.02, 0.02, 0, 0, 0, 
##     0, -0.02, 0, -0.03, -0.03, -0.03, -0.05, -0.1, 0.05, 0.21, 
##     0.83, 1.01, 1.93, 2.12, 2.18, 2.22, 2.14, 1.78, 1.7, 1.41, 
##     0.75, -0.03, -1.2, -1.41, -1.56, -2.83, -2.86, -2.83, -2.89, 
##     -2.09, -1.98, -1.46, -0.4, -0.11, 1.35, 2.23, 2.33, 2.3, 
##     2.26, 2.31, 2.41, 2.07, 1.85, 1.4, 1.2, 0.96, -0.74, -2.07, 
##     -2.25, -2.39, -2.49, -2.6, -2.04, -1.24, -0.87, -0.67, 0.34, 
##     0.87, -2.68, -2.54, -2.47, -2.38, -2.39, -2.22, -2.14, -1.77, 
##     -1.43, -0.77, -0.56, 0.11, 1.24, 2.15, 2.06, 1.56, 1.51, 
##     1.2, 0.59, -0.47, -1.19, -1.65, -1.81, -2.18, -2.59, -2.63, 
##     -2.65, -2.07, -1.98, -1.81, -1.77, -1.64, 0.18, 0.45, 0.72, 
##     1.56, 1.78, 2.34, 2.38, 2.44, 2.22, 2.22, 2.09, 2.06, 2.04, 
##     1.86, 1.77, 0.35, -0.11, -1.27, -2.55, -2.78, -2.83, -2.23, 
##     -2.22, -1.4, -1.3, -0.45, -0.32, -0.08, 1.24, 1.46, 2.41, 
##     2.44, 2.46, 2.1, 2.04, 1.98, 1.86, 1.65, 1.38, 1.56, 2.14, 
##     2.36, 2.49, 2.7, 2.76, 2.73, 1.73, 1.57, -0.14, -0.71, -1.03, 
##     -2.42, -2.62, 2.28, 1.81, -0.98, -1.04, -1.35, -1.49, -1.61, 
##     -1.45, -1.38, -1.04, -1.01, -0.98, -0.8, -0.77, -0.51, -0.47, 
##     -0.47, -0.45, -0.43, -0.43, -0.45, -0.43, -0.48, -0.63, -0.61, 
##     -0.61, -0.47, -0.4, -0.37, -0.34, -0.27, -0.31, -0.31, -0.34, 
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##     -0.13, -0.05, 0.13, 0.55, 0.64, 0.85, 0.64, 0.55, 0.51, 0.47, 
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##     -1.03, -1.01, -1.01, -1.01, -0.75, -0.53, -0.42, -0.19, -0.02, 
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##     -1.43, -0.34, -0.35, -0.35, -0.31, 0.24, 0.16, 0.21, 0.5, 
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##     -0.32, -0.31, -0.22, -0.18, -0.16, -0.22, -0.37, -0.53, -0.63, 
##     -0.79, -1.04, -1.32, -1.43, -1.43, -1.41, -1.35, -1.25, -1.19, 
##     -0.95, -0.92, -0.9, -0.88, -0.79, -0.66, -0.67, -0.71, -0.72, 
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##     -0.87, -0.9, -0.93, -0.96, -0.95, -0.95, -0.98, -1.03, -1.04, 
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##     -0.55, 0.05, 0.42, 0.39, 0.39, 0.24, 0.21, 0.14, 0.03, -0.03, 
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##     -1, -1.28, -1.28, -1.4, -1.53, -1.59, -1.49, -1.4, -1.45, 
##     -1.43, -1.24, -1.17, -0.79, -0.83, -0.5, -0.47, -0.21, -0.18, 
##     -0.18, -0.19, -0.14, 0.29, 0.37, 0.51, 0.69, 0.82, 0.8, 0.47, 
##     0.1, 0.11, 0.1, 0.03, -0.08, -0.34, -0.43, -0.55, -0.71, 
##     -0.77, -0.75, -0.75, -0.8, -1.24, -1.49, -1.56, -1.73, -1.86, 
##     -1.85, -1.45, -1.27, -1.09, -1.03, -1.17, -1.33, -1.2, -1.09, 
##     -0.96, -0.93, -0.9, -0.66, -0.58, -0.51, -0.29, -0.24, -0.22, 
##     0.08, 0.08, 0.03, 0.22, 0.24, 0.21, 0.14, 0.03, 0.05, 0.22, 
##     0.27, 0.14, 0.05, 0.03, 0.06, -1.33, -1.25, -1.14, -1.11, 
##     -1.45, -1.48, -1.36, -1.27, -1.2, -1.17, -0.93, -0.22, -0.14, 
##     0.03, 0.42, 0.61, 0.66, 0.5, 0.45, 0.47, 0.53, 0.55, 0.5, 
##     0.45, 0.26, 0.05, -0.02, -0.02, 0.05, 0.03, 0, -0.31, -0.61, 
##     -0.66, -0.71, -0.72, -0.74, -0.77, -0.83, -1.01, -1.08, -1.14, 
##     -1.35, -1.4, -1.41, -1.38, -1.27, -1.41, -1.27, -0.35, -0.31, 
##     -0.21, -0.06, -0.08, 0.58, 0.58, 0.26, 0.02, -0.02, -0.05, 
##     -0.08, -0.06, -0.02, 0.02, 0.03, 0.03, -0.1, -0.63, -0.66, 
##     -0.69, -1.48, -1.56, -1.62, -1.61, -1.56, -1.51, -1.32, -1.33, 
##     -1.33, -1.36, -1.41, -1.24, -1.08, -1.04, -1.12, -0.96, -0.72, 
##     -0.63, -0.93, -0.96, -0.88, -0.37, -0.37, -0.4, 0.45, 0.27, 
##     0.58, 0.64, 0.63, 0.56, 0.31, 0.29, 0.27, 0.02, -0.03, -0.56, 
##     -0.64, -0.85, -1.09, -1.16, -1.25, -1.33, -1.51, -1.69, -1.72, 
##     -1.7, -1.67, -1.64, -1.7, -1.78, -1.45, -1.27, -1.11, -1.08, 
##     -0.96, -1, -0.98, -0.93, -0.37, -0.27, -0.18, -0.02, 0.24, 
##     0.56, 0.64, 0.8, 0.88, 0.87, 0.83, 0.79, 0.56, 0.53, 0.55, 
##     0.66, 0.67, 0.71, 0.67, -0.53, -0.48, -0.47, -0.37, -0.43, 
##     -0.45, -0.34, -0.14, -0.42, -0.51, -0.55, -0.59, -0.8, -0.93, 
##     -0.96, -0.96, -0.98, -0.63, -0.64, -0.64, -0.61, -0.67, -0.82, 
##     -0.82, -0.83, -0.88, -0.9, -0.9, -0.88, -0.82, -0.74, -0.66, 
##     -0.5, -0.39, -0.22, -0.19, 0.37, 0.45, 0.48, 0.47, 0.31, 
##     0.29, 0.19, 0, -0.08, -0.1, -0.08, -0.27, -0.29, -0.32, -0.35, 
##     -0.5, -0.58, -0.61, -0.63, -0.64, -0.63, -0.63, -0.63, -0.63, 
##     -0.63, -0.64, -0.64, -0.64, -0.59, -0.58, -0.59, -0.56, -0.58, 
##     -0.63, -0.67, -0.83, -1.3, -1.04, -0.82, -0.83, -0.9, -0.87, 
##     -0.82, -0.66, -0.5, -0.45, -0.43, -0.39, -0.79, -0.64, -0.95, 
##     -1.06, -1.11, -1.17, -1.25, -1.46, -1.49, -1.49, -1.51, -1.48, 
##     -1.46, -1.46, -1.36, -1.43, -0.95, -0.96, -1.2, -1.12, -0.92, 
##     -0.9, -0.88, -0.85, -0.79, -0.72, -0.61, 0.67, 0.75, 0.83, 
##     0.85, 0.55, -0.11, -0.13, -0.1, -0.24, -0.32, -0.34, -0.32, 
##     -0.32, -0.32, -0.05, -1.48, -1.4, -1.24, -1.28, -1.14, -1, 
##     -1, -1.03, -1, -0.92, -0.56, -0.42, -3.08, -3, -1.38, -0.92, 
##     -0.64, 0.18, 0.35, 0.64, 2.14, 2.18, 2.41, 0.05, -0.67, -1.24, 
##     -1.8, -2.15, -2.49, -2.5, -2.62, -2.79, -2.44, -2.34, -2.33, 
##     -0.37, -0.03, 0.9, 2.44, 2.54, 2.63, 2.65, 2.49, 2.2, 1.51, 
##     1.49, 1.24, 1.11, -0.4, -1.01, -1.35, -1.93, -2.15, -0.16, 
##     -0.1, -0.08, -0.02, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 0.02, 
##     0, 0.03, 0, 1.59, 1.69, 1.78, 1.75, 1.59, 1.53, 1.46, 1.45, 
##     1.41, 1.38, 1.33, 1.06, -0.29, -0.43, -0.48, -0.95, -1.11, 
##     -1.4, -1.56, -1.49, -1.64, 1, 1.11, 1.17, 1.17, 0.58, -0.45, 
##     -1.22, -1.32, -1.38, -1.4, -1.53, -1.62, -1.77, -1.86, -2.14, 
##     -2.1, -1.56, -1.41, -0.92, -0.77, -0.72, -0.61, -0.18, -0.1, 
##     0.08, 0.08, 0.08, 0.05, 0.18, 0.85, 1.28, 1.38, 1.48, 1.51, 
##     -0.69, -0.39, -0.31, -0.16, -0.13, -0.27, -0.06, -0.03, -0.02, 
##     0.06, 0.37, 1.01, 1.08, 1.14, 1.01, 0.98, 0.79, 0.66, 0.55, 
##     0.61, 0.8, 0.96, 0.77, 0.59, 0.32, -0.18, -0.5, -0.67, 2.5, 
##     2.39, 2.14, 1.03, 0.88, 0.88, 0.18, -0.56, -0.66, -0.79, 
##     -1.25, -1.3, -0.48, -0.37, -0.32, -0.22, -0.06, 0.08, 0.13, 
##     0.21, 0.31, 0.8, 1.06, 1.19, 1.56, 2.14, 2.38, -0.26, -1.17, 
##     -1.99, -2.71, -2.81, -2.94, -1.85, -1.65, -1.67, -1.51, -1.25, 
##     -1.14, -3.08, -2.84, -2.71, -1.67, -1.61, -1.46, -1.36, -0.14, 
##     -0.06, -0.02, -0.11, -0.74, -0.02, 0.13, 0.16, 0.37, 1.3, 
##     1.3, 1.33, 1.27, 1.33, -0.5, -0.5, 0.14, 0.34, 0.87, 1.65, 
##     1.72, 1.7, 1.57, 1.51, 1.28, 1.09, 1.24, 1.04, 1.04, 1.11, 
##     1.19, 1.3, 1.32, 1.22, 1.04, 0.96, 0.96, 1.12, 1.14, 0.53, 
##     -0.4, -0.61, -0.69, 1.35, 1.27, 1.03, 0.88, 0.67, -0.22, 
##     -0.47, -0.72, -0.93, -1.36, -1.46, -1.78, -1.72, -1.72, -1.83, 
##     -1.93, -2.15, -2.22, -2.04, -1.64, -1.49, -1.46, -1.33, -1.27, 
##     -0.47, 1.35, 1.3, 1.48, 1.41, 1.38, 1.43, 1.25, 1.08, 0.35, 
##     0.03, -0.4, -1.22, -1.49, 1.35, 1.36, 1.32, 1.19, 1.17, 1.17, 
##     0.8, 0.29, -0.75, -1.08, -1.2, -1.25, -1.73, 0.02, 0, 0, 
##     0, 0, -0.03, -0.03, 0.03, 0.1, 0.14, 0.42, 0.75, 0.95, 1.2, 
##     1.33, 1.45, 1.4, 1.01, 0.4, 0.48, 1.19, 1.17, 1.14, 0.88, 
##     0.92, 1.04, 1.09, 0.42, 0.63, 0.67, 0.53, 0.34, 0.06, -0.19, 
##     -0.43, -0.35, -0.19, -0.85, -0.79, -0.66, -0.67, -0.61, -0.56, 
##     -0.5, -0.31, 0.11, 0.56, 0.79, 1.2, 1.03, -2.1, -2.52, -2.54, 
##     -2.52, -2.46, -2.28, -2.06, -2.06, -1.83, -1.81, -1.59, -1.54, 
##     -1.32, -0.53, -0.21, -0.03, -0.02, 0.1, 0.14, 0.18, 0.47, 
##     0.55, 0.53, 0.5, 0.37, 0.31, 0.27, 0.24, 0.16, 0.03, -0.13, 
##     -0.29, -0.51, -0.64, -1, -1.04, -1.04, -1.04, -0.98, -0.98, 
##     -0.66, -0.64, -0.61, -0.16, -0.06, 0, 0.03, 0.1, 0.14, 0.16, 
##     0.27, 0.4, 0.51, 0.61, 0.72, 0.79, 0.53, 0.4, 0.34, 0.21, 
##     0.06, 0, -0.18, -0.35, -0.39, -0.42, -0.42, -0.51, -0.74, 
##     -0.71, -0.72, -0.66, -0.83, -0.98, -0.95, -0.74, -0.71, -0.67, 
##     -0.66, -0.63, -0.56, -0.39, -0.26, -0.22, -0.16, -0.16, -0.13, 
##     -0.1, -0.03, 0.03, 0.06, 0.05, 0.05, 0.1, 0.21, 0.64, 0.58, 
##     -0.58, -0.58, -0.69, -0.75, -0.87, -0.88, -0.88, -0.74, -0.66, 
##     -0.58, -0.47, -0.45, -0.4, -0.11, -0.08, 0.22, 0.26, 0.4, 
##     0.47, 0.55, 0.85, 0.83, 0.75, 0.61, 0.59, 0.5, 0.47, 0.06, 
##     -0.14, -0.24, -0.39, -0.45, -0.5, -0.71, -0.72, -0.83, -0.83, 
##     -1.01, -0.82, -0.69, -0.42, -0.34, -0.31, -0.22, -0.19, -0.16, 
##     -0.18, -0.02, 0.13, 0.37, 0.42, 0.71, 0.71, 0.67, 0.66, -0.59, 
##     -0.66, -0.71, -0.77, -0.72, -0.67, -0.83, -0.85, -0.83, -0.83, 
##     -0.77, -0.83, -0.75, -0.67, -0.64, -0.27, -0.24, -0.21, -0.02, 
##     0.08, 0.21, 0.26, 0.42, 0.75, 0.79, 0.64, 0.59, 0.37, 0.42, 
##     0.43, 0.27, -0.5, -0.56, -0.59, -0.88, -0.92, -0.87, -0.8, 
##     -0.9, -1.08, -1.12, -0.87, -0.66, -0.64, -0.66, -0.61, -0.56, 
##     -0.45, 0.35, 0.45, 0.69, 0.77, 0.85, 1.01, 0.83, 0.77, 0.79, 
##     -0.16, -0.24, -0.35, -0.9, -1, -0.96, -1.01, -1.3, -1.09, 
##     -1.01, -0.8, -0.56, -0.61, -0.74, -0.72, -0.66, -0.53, -0.08, 
##     0.06, 0.22, 0.45, 0.55, 0.8, 0.55, 0.61, 0.58, 0.51, 0.22, 
##     -1.41, -0.83, -0.14, 0.32, 1.53, 1.45, 1.36, 1.06, 1.06, 
##     0.98, 0.83, 0.83, 0.8, 0.79, 0.8, 0.92, 0.85, 0.79, 0.55, 
##     0.27, -0.35, -1.19, -1.46, -1.67, -1.73, -1.8, -1.61, -1.53, 
##     -1.35, -1.24, -1.17, -0.96, -0.75, -0.27, -0.29, 0.06, 0.69, 
##     1.2, 1.38, 1.56, 1.73, 1.86, 1.85, 1.78, 1.2, 1.01, 0.93, 
##     1.09, 1, -0.53, -0.77, -1.06, -1.35, -1.36, -1.51, -1.57, 
##     -1.72, -1.72, -1.73, -1.7, -1.59, -1.28, -1.08, -1.03, -0.98, 
##     -0.92, -0.64, -0.19, -0.14, -0.08, 0.14, 0.8, 1, 1.61, 1.7, 
##     1.78, 1.75, 1.7, 1.61, 1.46, 1.38, 1.01, 0.98, 1.03, 1.06, 
##     1.03, 0.96, 0.48, -0.1, -0.45, -0.93, -1.38, -1.41, -1.45, 
##     -1.48, -1.73, -1.7, -1.61, -1.59, 0.14, 0.05, 0.27, 0.55, 
##     0.72, 1.01, 1.03, -0.21, 0.03, 0.16, 0.21, 0.21, 0.18, 0.02, 
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##     -0.48, -0.83, -0.96, -0.96, -0.75, -0.69, -0.37, -0.11, 0.08, 
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##     -0.43, -0.53, -0.58, 0.59, 0.59, 0.56, 0.55, 0.51, 0.31, 
##     -0.16, -0.21, -0.37, -0.55, -0.88, -1.08, -1.12, -1.17, -1.12, 
##     -0.8, -0.72, 0.5, 0.45, 0.42, 0.34, 0.31, 0.27, 0.21, -0.47, 
##     -0.51, -0.48, -0.58, -0.59, 0.35, 0.4, -0.02, -0.27, -0.42, 
##     -0.39, -0.34, -0.42, -0.64, -0.74, -0.87, -0.8, -0.72, -0.75, 
##     -0.56, -0.45, -0.18, -0.13, -0.14, -0.13, -0.08, 0.58, 0.63, 
##     0.59, 0.55, 0.4, -0.48, -0.27, 0.95, 1.03, 1.01, 1.03, 1.06, 
##     1.14, 1.14, 1.14, 1.12, 1.08, 0.88, 0.85, 0.87, 0.93, 0.69, 
##     0.48, 0.29, -0.32, -0.45, -0.77, 1.03, 1.12, 1.06, 1.11, 
##     1.14, 1.17, 1.09, 0.93, 0.64, 0.31, -1.33, 0.35, 0.4, 0.74, 
##     0.77, 0.75, 0.8, 0.71, 0.69, 0.69, 0.67, -0.24, -0.35, -0.26, 
##     -0.58, -0.66, -0.71, -0.75, -1.12, -1.14, -1.09, -0.75, -0.53, 
##     -0.22, 0.24, 0.58, 0.71, 0.93, 0.9, 0.8, 0.71, 0.96, 1.03, 
##     1.03, 0.9, 0.72, -0.08, -0.18, -0.24, -0.34, -0.42, 0.71, 
##     0.75, 1.04, 1.12, 1.11, 0.55, -0.37, -0.51, -0.88, -1.03, 
##     -1.04, -1.12, -1.01, -0.45, -0.35, -0.21, 0.22, 0.29, 0.72, 
##     0.79, 0.8, 0.79, 0.75, 0.77, 0.82, 0.82, 0.8, 0.75, 0.67, 
##     0.55, -0.32, -0.35, -0.39, -0.51, -0.66, -0.79, -0.75, -0.85, 
##     -0.95, -0.87, -0.92, -0.93, -0.87, -0.69, -0.16, -0.59, -0.77, 
##     -0.8, -0.92, -1.01, -1.09, -1.01, -1.08, -1.11, -1.03, -0.96, 
##     -0.83, -0.75, -0.77, -0.83, -0.19, -0.14, -0.08, -0.02, 0.37, 
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##     -0.34, -0.21, -0.18, -0.1, -0.08, 0, 0.06, 0.02, 0.05, 0.05, 
##     0.06, 0.1, 0.19, 0.22, 0.24, 0.27, 0.37, 0.4, 0.77, 0.61, 
##     -1.69, -1.54, -1.24, -1.04, -0.95, -0.72, -0.56, -0.26, -0.1, 
##     -0.05, -0.03, 0.02, 0.75, 0.79, 0.79, 0.77, 0.77, 0.47, 0.05, 
##     -0.13, -0.92, -1.09, -1.17, -1.25, -1.32, -0.14, 0.19, 0.24, 
##     0.29, 0.37, 0.53, 0.8, 0.82, 0.69, 0.37, 0.19, -0.19, -0.71, 
##     -0.98, -1.2, -1.22, -1.25, -1.24, -1.2, -1.17, -0.95, -1, 
##     -0.47, -0.39, -0.11, -0.13, -0.08, 0.08, 0.08, 0.29, 0.35, 
##     0.4, 0.55, 0.56, 0.55, 0.47, 0.24, 0.08, -0.1, -0.43, -0.58, 
##     -0.98, -1.46, -1.38, -1.27, -0.1, -0.51, -0.87, -1.33, -1.4, 
##     -1.41, -1.36, -1.35, -1.14, -1.11, -1.12, -1.19, -0.8, -0.74, 
##     -0.59, -0.5, -0.43, -0.34, -0.03, -0.03, -0.03, -0.02, 0.22, 
##     0.27, 0.32, 0.39, 0.43, 0.48, 0.5, 0.56, 0.5, 0.48, 0.47, 
##     0.35, 0.11, 0.03, -0.08, -0.06, -0.05, -0.02, 0, 0.02, 0.05, 
##     0.47, 0.27, 0.14, -0.19, -0.35, -0.53, -0.55, -1.19, -1.28, 
##     -1.28, -1.01, -0.87, -0.9, -0.88, -0.8, -0.39, -0.34, -0.26, 
##     0.05, 0.05, 0.05, 0.03, 0.03, 0.06, 0.13, 0.42, 0.59, 0.63, 
##     0.69, 0.74, 0.75, -0.69, -0.82, -1.06, -1.49, -1.45, -1.38, 
##     -1.03, -1.06, -0.5, -0.05, 0.03, 0.1, 0.11, 0.26, 0.39, 0.5, 
##     0.51, 0.77, 0.74, 0.39, -0.56, -0.67, -0.75, -1.32, -1.4, 
##     -1.51, -1.33, -0.64, -0.67, -0.67, -0.74, -0.93, -0.85, -0.82, 
##     -0.85, -0.93, -1, -1.03, -0.9, 0.03, -0.13, -0.19, -0.35, 
##     -0.34, -0.31, -0.39, -0.47, -0.35, -0.58, -0.98, -1.04, -1.06, 
##     -1.12, -1.19, -1.27, -1.33, -1.33, -1.12, -1.08, -1.08, -1.11, 
##     -1.09, -1.01, -0.74, -0.27, 0.02, 0.16, 0.34, 0.37, 0.14, 
##     -0.27, -0.66, -0.34, -0.26, -0.1, -0.02, -0.05, -0.06, -0.11, 
##     -0.29, -0.29, -0.35, -0.71, -0.61, -0.47, -0.51, -0.95, -1, 
##     -1.01, -1.03, -1.14, -1.24, -1.22, -0.95, -0.83, -0.8, -0.82, 
##     -0.85, -0.82, -0.13, 0, 0.02, 0, -0.02, -0.05, -0.08, -0.06, 
##     -0.08, 0.03, 0.11, 0.05, 0, -0.16, -0.16, -0.13, -0.18, -0.42, 
##     -0.5, -0.66, -0.67, -0.85, -0.9, -1.04, -0.95, -0.95, -0.77, 
##     -0.77, -0.8, -0.83, -0.51, -0.51, -0.53, -0.56, -0.55, -0.19, 
##     -0.1, -0.1, -0.1, -0.05, 0.13, -0.03, -0.26, -0.22, -0.18, 
##     -0.18, -0.18, -0.18, -0.32, -0.35, -0.39, -0.58, -0.8, -0.93, 
##     -1, -1.09, -0.96, -1.01, -1.03, -0.92, -0.74, -0.63, -0.35, 
##     -0.26, -0.24, -0.21, -0.08, 0.03, 0.02, -0.06, -0.08, -0.1, 
##     -0.8, -0.96, -1.04, -1.01, -1.03, -0.75, -0.75, -0.82, -1, 
##     -0.85, -0.67, -0.66, -0.58, -0.29, -0.26, -0.14, -0.05, 0.05, 
##     0, -0.19, -0.19, -0.18, -0.1, -0.11, -0.24, -0.42, -0.61, 
##     -0.61, -0.56, -0.5, -0.48, -0.5, -0.56, -0.69, -0.83, -0.87, 
##     -0.98, -1.01, -1.19, -1.11, -1.01, -0.83, 1.06, 0.92, 0.66, 
##     0.45, 0.02, -0.11, -0.14, -0.42, -0.56, -0.83, -0.82, -0.83, 
##     -0.66, -0.56, -0.48, -0.39, -0.27, -0.21, -0.08, 0.13, 0.21, 
##     0.32, 0.55, 0.63, 0.87, 0.87, 0.59, 0.56, 0.42, -0.16, -0.19, 
##     -0.18, -0.19, -0.21, -0.31, -0.63, -0.79, -0.79, -0.82, -0.72, 
##     -0.69, -0.64, -0.61, -0.45, -0.22, -0.02, 0.05, 0, 0, 0.03, 
##     0.14, 0.19, 0.29, 0.4, 0.58, 0.79, 0.64, 0.64, -0.59, -0.26, 
##     -0.27, -0.21, -0.14, 0.08, 0.13, 0.11, -0.05, -0.1, -0.05, 
##     0.22, 0.42, 0.51, 0.56, 0.66, 0.8, 0.83, 0.83, 0.92, 0.95, 
##     1.09, 1.04, 0.82, 0.75, 0.51, 0, -1.11, -1.22, -1.33, -1.16, 
##     -1.11, -1.11, -1.12, -1.28, -1.32, -1.3, -1.01, 0.13, 0.08, 
##     0.08, 0.21, 0.31, 0.42, 0.53, 0.9, 0.98, 1.16, 1.19, 1.25, 
##     1.33, 1.38, 1.4, 1.4, 0.64, 0.53, 0.48, 0.18, 0.02, -1.08, 
##     -1.2, -1.11, -1.12, -1.08, -1.08, -1.09, -0.67, 0, 0.13, 
##     0.06, 0.1, 0.24, 0.37, 1.22, 1.27, 1.25, 1.22, 1.27, 1.38, 
##     1.4, 1, 0.77, -0.55, -0.69, -0.8, -1.46, -1.33, -1.22, -0.79, 
##     -0.71, -0.51, -0.56, -0.64, -0.11, -0.05, -0.14, 0.13, 0.92, 
##     1.01, 1.4, 1.56, 1.56, 1.56, 1.49, 0.66, 0.82, 0.24, -0.4, 
##     -0.71, -0.83, -1.69, -1.64, -1.38, -1.14, -1.12, -1.08, -1, 
##     -0.71, -0.39, 0, 0.14, 0.11, 0.08, 0.34, 0.98, 1.09, 1.14, 
##     1.12, 1.09, 1.06, 1.06, 1, 0.93, 0.72, 0.63, 0.59, 0.58, 
##     0.61, 0.5, -0.69, -0.71, -0.72, -1.24, -1.43, -1.69, -1.77, 
##     -1.75, -1.67, -1.57, -1.19, -1.11, -0.95, -0.5, -0.22, 0.03, 
##     0.05, 0.02, -0.13, -0.13, -0.08, -0.05, 0.03, 0.1, 0.32, 
##     0.74, 0.88, 1, 1.33, 1.56, 1.78, 1.73, 1.7, 1.45, 1.33, 1.06, 
##     0.32, 0.05, -0.21, -0.43, -0.56, -0.63, -0.83, -1.16, -1.64, 
##     -1.72, -1.61, -1.54, -1.41, -1.35, -0.92, -0.77, -0.48, -0.02, 
##     -0.08, -0.06, -0.02, -0.71, -1.2, -1.32, -1.69, -1.57, -1.54, 
##     -1.53, -1.4, -1.33, -1.28, -1.22, 1.04, 0.85, 0.75, -0.18, 
##     -0.82, -1.14, -1.14, -1.06, -0.93, -0.8, -0.48, -0.35, -0.22, 
##     0.29, 0.39, 0.42, 0.53, 0.58, 0.72, 0.87, 0.93, 0.66, 0.69, 
##     0.71, 0.67, 0.66, 0.63, 0.58, 0.53, 0.34, 0.26, 0.18, 0.08, 
##     -0.34, -0.45, -0.64, -0.95, -0.93, -1.28, -1.12, -1.06, -0.93, 
##     -0.82, -0.69, -0.59, -0.55, -0.27, 0.11, 0.32, 0.4, 0.51, 
##     0.8, 0.88, 0.92, 0.92, 0.92, 0.8, 0.39, 0.18, -0.34, -0.45, 
##     -0.5, -0.55, -0.8, -1.19, -1.32, -1.33, -1.25, -1.12, -1, 
##     -1.01, -0.92, -0.83, -0.21, -0.14, 0.18, 0.47, 0.71, 1.2, 
##     1.04, 0.9, 0.74, 0.74, 0.66, 0.55, 0.35, 0.13, -0.14, -0.27, 
##     -0.51, -0.71, -0.79, -0.83, -1.04, -1.3, -1.41, -1.36, -1.27, 
##     -1.17, -0.8, -0.61, -0.29, 0.14, 0.32, 0.4, 0.45, 1.04, 0.98, 
##     0.96, 0.95, 0.98, 1.01, 0.8, 0.72, 0.47, 0.35, 0.31, 0.26, 
##     -0.39, -1.19, -1.2, -0.92, -0.5, -0.08, -0.05, -0.03, 0.1, 
##     -0.11, -0.13, -0.13, -0.13, -0.11, -0.1, -0.05, -0.03, 0.03, 
##     0.03, 0.03, 0.05, -0.02, 0.02, 0.1, 0.18, 0.27, 0.32, 0.42, 
##     0.55, 0.77, 0.92, 0.96, 0.96, 0.93, -1.08, -1.16, -1.19, 
##     -1.04, -0.98, -0.87, -0.67, -0.53, -0.35, 0, 0.18, 0.26, 
##     0.63, 0.8, 0.71, 0.67, 0.72, 0.47, -0.18, -0.39, -0.45, -0.5, 
##     -0.79, -0.9, -1, -1, -1.01, -1.14, -0.43, -0.39, 0.26, 1.53, 
##     1.59, 1.04, -1.08, -1.46, -1.73, -1.85, -1.93, -1.94, -1.25, 
##     -1.06, -0.02, 0.16, 0.42, 0.13, 0.05, -0.06, -0.24, -0.22, 
##     -0.21, -0.02, 0.02, 0.02, -0.08, -0.08, -0.06, -0.08, -0.02, 
##     -0.02, -0.02, -0.05, -0.05, -0.05, -0.03, -0.06, -0.06, -0.05, 
##     -0.02, -0.03, -0.02, -0.03, -0.05, -0.05, -0.03, -0.02, 0, 
##     -0.02, -0.03, 0, 0.11, 0.16, 0.43, 0.61, 0.74, 0.85, 0.83, 
##     -0.06, -0.06, -0.05, -0.05, -0.03, -0.05, -0.14, -0.16, -0.03, 
##     -0.1, -0.08, -0.06, -0.03, 0.02, 0.08, 0.1, 0.06, 0.34, 0.58, 
##     0.74, 0.85, 0.98, 0.64, -0.24, -0.47, -0.71, -0.88, -0.92, 
##     -1.06, -1.08, -0.96, -0.69, -0.59, -0.55, -0.06, 0.05, 0.19, 
##     0.35, 0.45, 0.93, 0.92, 0.79, 0.51, -0.03, -0.31, -0.45, 
##     -0.8, -1.08, -1.03, -1.11, -1.06, -0.06, 0.43, 0.51, 0.61, 
##     0.88, 0.98, 1.01, 1.01, 0.96, 0.93, 0.66, -0.4, -0.79, -1.14, 
##     -0.83, -0.61, -0.27, -0.26, 0.31, 0.45, 0.5, 0.88, 0.98, 
##     0.83, 0.53, 0.08, -0.16, -0.32, -0.8, -0.87, -0.71, -0.72, 
##     -0.8, -0.42, -0.4, 0, 0.05, 0.06, 0.08, 0.21, 0.77, 0.9, 
##     1.04, 0.8, 0.4, 0.48, 0.55, 1.19, 1.03, 0.88, 0.75, 0.66, 
##     0.42, 0.22, -0.14, -0.32, -0.35, -0.61, -0.71, -0.98, -1, 
##     -1.04, -1.09, -1.03, -1.03, -0.74, -0.45, -0.39, 0.06, 1.2, 
##     1.06, 0.98, 0.96, 0.71, 0.48, -0.56, -0.63, -0.66, -0.9, 
##     -1.08, -1.17, -1.24, -1.38, -1.11, -0.63, 0.19, 0.45, 0.58, 
##     1.2, 1.24, 1.24, 1.25, 1.24, 0.53, 0.37, 0.21, 0.05, -0.59, 
##     -0.71, -0.95, -0.96, -0.98, -0.95, -1.03, -0.96, -0.8, -0.08, 
##     0.02, 0.39, 0.63, 0.8, 0.95, 1.03, 1.06, 1.09, 1.19, 0.77, 
##     0.67, 0.55, 0.13, -0.34, -0.58, 1.08, 1, 0.9, 0.8, -0.29, 
##     -0.39, -0.53, -0.59, -0.93, -0.13, -0.06, -0.03, 0.1, 0.14, 
##     0.14, -0.42, -0.47, -0.61, -0.59, -0.45, -0.43, -0.4, -0.35, 
##     -0.32, -0.11, 0.14, -0.96, -1.04, -0.77, -0.56, -0.51, -0.45, 
##     -0.45, -0.51, -0.47, 0, 0.22, 0.27, 0.31, -0.43, -0.45, -0.48, 
##     -0.5, -0.53, -0.51, -0.53, -0.66, -0.74, -0.8, -0.8, -0.95, 
##     -0.98, -1, -1.09, -1.09, -1.25, -1.04, -0.93, -0.79, -0.74, 
##     -0.72, -0.8, -0.8, -0.47, -0.13, -0.16, -0.24, -0.29, -0.27, 
##     -0.22, -0.16, -0.75, -0.66, -0.61, -0.61, -0.56, -0.55, -0.21, 
##     0.11, 0.14, 0.14, 0.13, 0.16, 0.14, 0.13, -0.02, -0.06, -0.06, 
##     -0.21, -0.61, -0.79, -0.47, -0.31, -0.29, -0.27, -0.21, -0.16, 
##     -0.11, -0.14, 0.08, 0.18, -0.05, -0.13, -0.19, -0.39, -0.45, 
##     -0.55, -0.56, -0.69, -0.77, -0.79, -0.8, -0.93, -0.92, -0.88, 
##     -0.87, -0.79, -0.82, -0.8, -0.77, -0.35, -0.32, -0.35, -0.4, 
##     -0.55, -0.56, -0.58, -0.51, -0.5, -0.63, -0.8, -0.8, -0.92, 
##     -0.95, -0.96, -1, -1, -0.98, -0.75, -0.74, -0.58, -0.42, 
##     -0.5, -0.48, -0.4, 0, -0.08, -0.13, -0.16, -0.14, -0.11, 
##     0, -0.29, -0.32, -0.42, -0.45, -0.55, -0.61, -0.63, -0.79, 
##     -0.87, -1, -0.82, -0.75, -0.71, -0.48, -0.51, -0.48, -0.53, 
##     -0.32, -0.14, 0, 0.14, 0.13, 0.02, -0.11, 0.03, -0.03, -0.11, 
##     -0.29, -0.35, -0.53, -0.51, -0.56, -0.63, -0.72, -0.83, -0.85, 
##     -0.83, -0.83, -0.56, -0.48, -0.47, -0.47, -0.48, -0.48, -0.45, 
##     -0.35, -0.34, -0.31, -0.21, -0.06, 0, -0.9, -0.69, -0.48, 
##     -0.03, -0.1, -0.16, -0.16, -0.13, -0.13, -0.16, -0.21, -0.26, 
##     -0.48, -0.59, -0.66, -0.67, -0.98, -1.03, -1.06, -1.11, -0.61, 
##     -0.51, -0.47, -0.47, -0.4, -0.16, -0.13, -0.05, 0.11, -0.14, 
##     -0.27, -0.98, -1.28, -1.35, -1.28, -1.22, -1.03, -1.04, -0.58, 
##     -0.58, -0.56, -0.48, -0.48, -0.5, -0.53, -0.53, -0.47, -0.43, 
##     -0.42, -0.4, -0.42, -0.47, -0.56, -0.58, -0.61, -0.66, -0.64, 
##     -0.66, -0.64, -0.63, -0.56, -0.53, -0.37, -0.37, -0.43, -0.5, 
##     -0.51, -0.34, -0.27, -0.1, 0.06, 0.1, 0.24, 0.02, 0.34, 0.32, 
##     0.06, -0.29, -0.34, -0.35, -0.34, -0.45, -0.4, -0.47, -0.59, 
##     -0.61, -0.72, -0.79, -0.83, -0.92, -0.98, -0.98, -1.08, -1.14, 
##     -1, -1.01, -1.08, -1.09, -1.08, 0.06, -0.16, -0.13, -0.24, 
##     -0.34, -0.43, -0.4, -0.37, -0.43, -0.45, -0.47, -0.21, -0.47, 
##     -0.64, -0.77, -1.17, -1.25, -1.28, -1.2, -1.17, -0.88, -0.71, 
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##     -0.63, -0.63, -0.66, -0.66, -0.87, -0.88, -0.88, -0.9, -0.9, 
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##     -1, -1.03, -1.09, -1.2, -1.17, -1.11, -0.85, -0.42, 0.18, 
##     0.56, 0.66, 0.66, 0.92, 0.85, 0.85, 0.88, 0.9, 0.96, 1, 0.9, 
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##     -0.39, -0.13, 0.47, 0.4, 0.4, 0.42, 0.43, 0.4, 0.29, 0.22, 
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##     -1.59, -2.02, -2.02, -2.01, -1.8, -1.64, -1.56, -1.33, -1.33, 
##     -1.27, -1.17, -0.9, -0.61, -0.51, -0.42, -0.4, -0.31, -0.19, 
##     -0.02, 0.21, 0.32, 0.82, 1.16, 1.08, 1.04, 1, 0.96, 0.58, 
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##     -2.41, -2.63, -2.76, -2.91, -2.79, -2.54, -2.18, -1.45, -1.36, 
##     -1.14, -1.14, -1.08, -0.93, -0.9, -0.85, -0.8, -0.8, -0.79, 
##     0.55, 0.55, 0.39, 0.32, 0.22, -0.11, 0.51, 0.59, 0.69, 0.93, 
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##     -0.39, -0.75, -1.17, -1.32, -1.43, -1.28, -1.22, -0.9, -0.58, 
##     -0.37, 0.14, 0.58, 0.96, 1.03, 1.08, 1.14, 1.16, 1.04, 0.92, 
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##     -0.67, -0.79, -0.98, -1.04, -1.12, -1.2, -1.2, -1.17, -0.64, 
##     -0.51, 0, 0.29, 0.43, 0.61, 0.96, 0.98, 0.9, 0.8, 0.8, 0.59, 
##     0.24, -0.08, -0.5, -0.53, -0.56, -0.96, -1.08, -1.27, -1.25, 
##     -1.33, -1.43, -1.36, -1.25, -0.92, -0.34, 0.61, 0.74, 0.85, 
##     0.96, 1.11, 1.12, 1.2, 1.04, 0.98, 0.87, 0.87, 0.87, 0.56, 
##     0.37, -0.42, -0.45, -0.21, -0.26, -0.42, -0.74, -0.1, -0.1, 
##     0.03, 0.06, 0.08, 0.1, 0.11, 0.14, 0.67, 1.75, 1.41, 1.17, 
##     1.3, 1.41, 1.32, 1.12, 1, 0.43, 0.22, -0.06, -0.08, -0.14, 
##     -0.19, -0.22, -0.32, -0.53, -1.04, -1.73, -1.98, -2.04, -2.18, 
##     -2.42, -1.77, -0.34, -0.24, 0, 0.71, 0.8, 0.88, 1.06, 1.25, 
##     1.54, 1.78, 1.75, 1.57, 1.53, 1.48, 1.45, -1.59, -1.28, -1.04, 
##     -0.22, 0.24, 0.34, 0.43, 0.53, 0.63, 0.74, 0.98, 1.57, 1.69, 
##     1.73, 1.54, 1.53, 1.56, 1.14, -0.37, -0.55, -0.56, -0.66, 
##     -0.92, -1.59, -1.7, -1.83, -1.8, -0.24, -0.14, 0.66, 0.87, 
##     1.41, 1.57, 1.25, 1.14, -0.32, -0.35, -0.43, -0.9, -1.06, 
##     -1.59, -2.31, -2.38, -2.25, -1.88, -1.73, -0.55, -0.4, -0.19, 
##     0.26, 0.34, 0.82, 1.35, 1.67, 1.77, 1.83, 1.83, 1.7, 1.65, 
##     1.53, 1.53, 1.46, 1.38, 1.32, 1.22, 0.71, -1.16, -1.69, -1.75, 
##     -1.78, -1.96, -2.01, -1.93, -1.89, -1.75, -1.51, -0.92, -0.5, 
##     -0.35, -0.19, 0.43, 0.58, 0.66, 1.01, 1.28, 1.49, 1.61, 1.64, 
##     1.69, 1.75, 1.75, 1.43, 1.27, 1.12, 0.98, 0.92, 0.06, -0.16, 
##     -0.53, -0.67, -1.17, -1.28, -1.56, -1.67, -2.01, -2.15, -2.23, 
##     -2.41, -2.6, -2.36, -1.01, -0.92, -0.53, -0.34, -0.16, 0.45, 
##     0.5, 0.67, 1.48, 1.3, 1.41, 1.51, 1.06, 0.82, 0.66, 0.47, 
##     0.21, -0.61, -0.63, -0.67, -1.17, -1.83, -1.91, -1.99, -1.99, 
##     -1.54, -0.95, -0.88, -0.48, -0.5, -0.42, -1.08, -1.09, -1.11, 
##     -1.14, -1.16, -1.08, -0.87, -0.18, 0.08, 0.51, 0.82, 1.56, 
##     2.06, 2.09, 2.7, 2.81, 2.81, 2.75, 2.42, 1.89, -2.12, -2.91, 
##     -3.37, -2.87, -2.22, -1.51, -1.45, -1.17, -1.03, -0.77, -0.13, 
##     -0.11, 0.06, 0.21, 0.59, 0.71, 0.82, 1.36, 1.54, 1.51, 1.62, 
##     1.62, 2.79, 2.49, 0.24, -2.12, -2.31, -2.75, -2.99, -3.07, 
##     -2.99, -2.71, -2.47, -1.72, -1.36, -1.27, -1.2, -1.06, -0.03, 
##     -0.06, -0.05, 1.25, 1.48, 1.4, 1.27, 1.27, 1.36, 1.77, 2.23, 
##     2.42, 0.74, -2.41, -2.59, -2.62, -2.62, -0.79, -0.79, -0.51, 
##     -0.39, -0.37, -0.34, -0.13, -0.05, -0.02, 0, -0.02, 0.05, 
##     0.06, 0.06, 0.03, -0.02, -0.14, -0.22, -0.19, 0.05, 0, -0.02, 
##     -0.03, -0.13, -0.83, -0.96, -1.06, -1.16, -1.12, -1.09, -1.11, 
##     -1.08, -1.06, -1.08, -1.16, -0.87, -0.69, -0.59, -0.58, -0.53, 
##     -0.48, -0.42, -0.37, -0.39, -0.18, -0.59, -0.48, -0.4, -0.32, 
##     -0.35, -0.26, -0.16, -0.34, -0.77, -0.72, -1.14, -1.17, -1.19, 
##     -1.08, -1.11, -1.24, -1.2, -1.14, -0.95, -0.85, -0.95, -0.63, 
##     -0.5, -0.11, -0.11, 0.02, -0.03, -0.03, -0.11, -0.1, -0.1, 
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##     -0.24, -0.29, -0.55, -0.5, -0.79, -0.83, -1.01, -0.96, -0.61, 
##     -0.71, -0.79, -0.96, -0.98, -0.98, -1.01, -0.96, -0.95, -0.79, 
##     -0.55, -0.37, -0.34, -0.21, -0.16, -0.05, -0.02, 0.1, 0.26, 
##     0.26, 0.26, 0.16, -0.02, -0.19, -0.32, -0.4, -0.32, 0.05, 
##     -0.16, -0.69, -0.71, -0.64, -0.58, -0.75, -0.83, -0.8, -0.83, 
##     -0.83, -0.75, -0.72, -0.85, -0.95, -0.98, -0.96, -1.01, -0.95, 
##     -0.93, -0.95, -1.01, -0.93, -0.59, -0.59, -0.8, -0.79, -0.74, 
##     -0.66, -0.5, -0.35, -0.34, -0.42, -0.47, -0.5, -0.55, 0.02, 
##     0.48, 0.51, 0.64, 0.69, 0.71, 0.8, 0.74, 0.59, 0.48, 0, -0.03, 
##     -0.02, -0.1, -0.37, -0.64, -1.01, -1.2, -1.16, -1.14, -1.11, 
##     -1.09, -1.12, -1.17, -1.19, -1.04, -1.01, -1.01, -0.37, -0.16, 
##     -0.14, -0.19, 0.29, 0.27, 0.5, 0.58, 0.56, 0.47, 0.21, 0.13, 
##     0.13, 0.14, 0, -0.05, -0.1, -0.32, -0.37, -0.53, -0.75, -0.96, 
##     -1.03, -1.19, -1.16, -1.11, -1.09, -1.28, -1.3, -1.2, -1.2, 
##     -1.16, -1.16, -1.14, -0.98, -0.95, -0.75, -0.13, -0.02, 0.11, 
##     0.14, 0.14, 0.1, 0.11, 0.16, 0.59, 0.48, 0.37, 0.1, 0.13, 
##     0.14, 0.13, 0, -0.02, -0.05, -0.13, -0.39, -0.85, -0.88, 
##     -0.93, -1.08, -1.09, -1.12, -1.14, -1.19, -1.22, -1.22, -1.2, 
##     -1.17, -1.11, -1.08, -1.08, -1.08, -1.08, -1.09, -1.11, 0.32, 
##     0.4, 0.5, 0.59, 1.06, 1.19, 1.06, 0.32, -0.05, -0.06, -0.1, 
##     -0.24, -0.48, -0.55, -0.56, -0.61, -0.9, -0.98, -0.98, -0.98, 
##     -0.9, -0.85, -0.95, -1.19, -1.28, -1.27, -1.27, -1.17, -1.33, 
##     -1.11, -1.03, -0.9, -0.87, -0.88, -0.83, -0.79, -0.72, -0.51, 
##     -0.29, 0, 0.02, 0.05, 0.13, 0.11, 0.05, -0.03, -0.18, 0.08, 
##     0.67, 0.56, 0.24, -0.31, -0.42, -0.34, -0.13, -0.11, -0.16, 
##     -0.24, -0.64, -0.93, -1.04, -1.14, -1.17, -1.14, -1.08, -1.2, 
##     -1.36, -1.8, -1.32, -1.28, -1.04, -0.92, -0.74, -0.79, -0.58, 
##     -0.47, -0.13, -0.06, -0.06, 0.18, 0.75, 0.85, 0.96, 0.98, 
##     0.96, 0.66, 0.47, 0.08, 0.05, 0.02, -0.31, -0.37, -0.4, -0.61, 
##     -0.63, -0.63, -0.66, -0.71, -0.75, -0.83, -1.11, -1.09, -1.09, 
##     -1.09, -1.09, -1.04, -1.24, -1.19, -1.14, -1.06, -1.09, -0.88, 
##     -0.29, 0.05, -0.18, -0.26, -0.37, -0.22, -0.08, 0.43, 0.55, 
##     0.58, 0.63, 0.06, 0.03, 0.22, 0.27, 0.14, 0.1, -0.69, -0.83, 
##     -1.14, -1.38, -1.61, -1.62, -1.57, -1.36, -0.95, -1.06, -1.03, 
##     -1, -1.14, -0.98, -0.82, -0.77, -0.67, -0.59, -0.96, -0.32, 
##     -0.06, 0.02, 0.02, 0.11, 0.87, 1.22, 1.27, 1.28, 1.28, 1.3, 
##     1.4, 1.43, 1.38, 1.16, 0.93, -0.56, -0.59, -0.85, -1.81, 
##     -1.8, -1.73, -1.48, -1.4, -1.28, -1.25, -1.24, -0.9, -0.51, 
##     -0.45, -0.02, 0.05, 0.11, 0.27, 0.98, 1.3, 1.33, 1.38, 1.53, 
##     1.46, 0.83, 0.88, 0.24, -0.74, -1.43, -1.48, -1.25, -1.19, 
##     -0.06, -0.08, -0.08, -0.08, -0.08, -0.11, -0.03, 0.03, 0.03, 
##     0.08, 0.75, 1.09, 1.64, 1.73, 1.73, 1.65, 0.9, 0.87, 0.85, 
##     0.87, 0.87, 0.8, 0.75, 0.43, 0.03, -0.26, -0.43, -0.53, -0.67, 
##     -1.06, -1.01, -0.83, 0.1, 0.27, 0.67, 0.77, 0.82, 0.96, 0.96, 
##     0.82, 0.72, -0.55, -0.87, -1.12, -1.3, -1.33, -1.27, -1.19, 
##     -1.01, -0.8, -0.61, -0.5, -0.32, 0.72, 1.25, 1.32, 1.3, 1.2, 
##     1.17, 1.08, 1.01, 0.98, 0.8, 0.45, -0.69, -0.77, -0.83, -1.35, 
##     -1.11, -0.47, -0.42, 0.05, 0.4, 0.47, 0.64, 0.71, 0.8, 1, 
##     1.24, 1.2, 1.09, 0.72, 0.48, 0.31, -0.31, -0.59, -0.8, -0.96, 
##     -1.04, -1.16, -1.22, -1.22, -1.14, -1.11, -0.92, -0.67, -0.58, 
##     -0.55, -0.16, 0.1, 0.27, 0.32, 0.39, 0.48, 0.77, 0.83, 1.03, 
##     1, 0.9, 0.75, -0.66, -0.69, 1.22, 1.3, 1.4, 1.48, 1.46, 1.4, 
##     1.04, 0.98, 0.98, -0.03, -0.26, -0.64, -0.69, -0.67, -1.09, 
##     -1.09, -0.82, -0.8, -0.77, -0.74, -0.69, -0.67, -0.21, -0.14, 
##     -0.1, 0.27, 0.37, 0.69, 0.88, 0.87, 0.79, 0.74, 0.58, 0.56, 
##     0.59, 0.63, 0.66, 0.71, 0.48, -0.64, -0.71, -1.12, -1.11, 
##     -0.95, -0.64, -0.45, -0.1, 0.11, 0.24, 0.71, 0.82, 0.87, 
##     0.83, 0.55, 0.48, 0.43, 0.53, 0.8, -0.31, -0.58, -0.63, -0.64, 
##     -0.71, -0.75, -1.14, -1.11, -0.83, -0.64, -0.55, -0.48, -0.42, 
##     -0.22, -0.1, 0.26, 0.5, 0.61, 0.58, 0.53, 0.56, 0.63, 0.66, 
##     0.63, 0.82, 0.83, 0.67, 0.5, 0.29, 0.18, 0.47, 0.55, 0.19, 
##     -0.22, -0.53, -0.59, -0.61, 0, -0.06, -0.08, -0.06, -0.03, 
##     0, 0.02, 0.05, -0.06, -0.08, -0.1, -0.06, -0.03, 0, 0.02, 
##     0, 0, 0, 0, -0.03, -0.06, -0.06, -0.03, 0, 0.02, 0.02, 0, 
##     0, 0, 0, -0.02, -0.03, -0.03, -0.03, -0.05, -0.14, -0.08, 
##     -0.1, -0.08, -0.05, -0.06, -0.05, -0.02, 0.06, 0.13, 0.18, 
##     0.22, 0.24, 0.22, 0.08, -0.16, -0.31, -0.32, -0.32, -0.16, 
##     -0.14, -0.08, -0.05, 0, 0.02, 0.02, -0.02, -0.02, -0.05, 
##     -0.05, -0.05, 0.02, 0, 0, -0.02, -0.05, -0.02, -0.02, -0.02, 
##     -0.06, -0.1, -0.02, -0.05, -0.03, -0.06, -0.02, 0.02, 0.06, 
##     0.08, 0.06, 0.05, 0.02, -0.05, -0.05, -0.06, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, 0.02, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.02, 0, 0.02, 0.02, 0, -0.02, -0.02, -0.05, -0.05, 
##     -0.06, -0.11, -0.29, -0.39, -0.42, -0.42, -0.67, -0.64, -0.34, 
##     -0.14, 0.08, 0.13, 0.16, 0.24, 0.18, 0.14, 0.05, 0.03, -0.05, 
##     -0.05, -0.19, -0.14, 0.45, 0.69, 1.25, 1.56, 1.91, 1.93, 
##     1.89, 1.86, 1.64, 1.54, 1.35, 1.38, -0.24, -0.88, -1.08, 
##     -1.35, -1.48, -1.65, -1.8, -1.99, -2.12, -1.99, -2.22, -2.28, 
##     -2.3, -1.89, -0.83, 0.59, 1.85, 2.06, 1.83, 1.75, 1.32, 0.26, 
##     -0.92, -1.53, -1.7, -1.89, -2.22, -2.17, -2.14, -2.18, -2.15, 
##     -1.81, 0.75, 1.75, 1.99, 2.22, -0.56, 1.43, 1.77, 1.81, 1.8, 
##     1.93, 2.07, 2.04, 1.96, 1.88, 1.43, 1.35, 0.71, -0.31, -0.64, 
##     -1.53, -1.75, -1.96, -1.8, -1.8, -1.83, -1.91, -1.56, -0.4, 
##     -0.16, 0.27, 1.12, 1.27, -1.48, -0.75, -0.55, 1.22, 1.98, 
##     2.01, 2.02, 1.93, 1.88, 1.2, -0.02, 2.04, 2.09, 1.62, 1.54, 
##     1.48, 1.4, 0.95, 0.69, -0.47, -0.61, -0.85, -1.14, -1.4, 
##     -1.93, -2.17, -1.88, -2.06, -2.04, -0.08, 0.79, 2.17, 2.22, 
##     2.26, 2.18, 1.4, 1.25, 0.79, -0.45, -0.37, -0.31, -0.24, 
##     -0.21, -0.22, -0.06, 0.13, -0.02, -0.21, -0.37, -0.56, -0.58, 
##     -0.58, -0.59, -0.61, -0.66, -0.69, -0.72, -0.83, -0.88, -0.87, 
##     -0.83, -0.83, -0.92, -0.95, -0.95, -0.95, -0.85, -0.8, -0.67, 
##     -0.64, -0.58, -0.48, -0.51, -0.55, -0.56, -0.56, -0.56, -0.48, 
##     -0.47, -0.32, -0.29, -0.29, -0.11, 0.03, -0.02, -0.08, -0.13, 
##     -0.13, -0.1, -0.31, -0.71, -0.69, -0.64, -0.79, -1.04, -1.12, 
##     -1.24, -1.14, -1.06, -1.03, -1.01, -1.08, -1.03, -0.96, -0.56, 
##     -0.47, -0.48, -0.53, -0.58, -0.56, -0.47, -0.5, -0.55, -0.51, 
##     -0.37, -0.32, -0.31, -0.29, -0.11, -0.47, -0.56, -0.59, -0.59, 
##     -0.67, -0.8, -0.96, -1.12, -1.06, -0.87, -0.79, -0.74, -0.71, 
##     -0.5, -0.56, -0.58, -0.56, -0.43, -0.42, -0.31, -0.24, -0.08, 
##     -0.1, -0.1, -0.1, -0.03, 0.05, -0.02, -0.13, -0.24, -0.34, 
##     -0.35, -0.31, -0.26, -0.22, -0.24, -0.45, -0.55, -0.64, -0.61, 
##     -0.64, -0.61, -0.61, -0.61, -0.61, -0.64, -0.69, -1.19, -1.28, 
##     -1.48, -1.98, -2.26, -2.49, -1.59, -1.46, -0.74, -0.72, -0.75, 
##     -0.8, -0.88, -0.92, -0.74, -0.72, -0.56, -0.53, -0.55, -0.56, 
##     -0.51, -0.51, -0.5, -0.31, -0.32, -0.4, -0.51, -0.58, -0.63, 
##     -0.64, -0.64, -0.63, -0.53, -0.53, -0.53, -0.56, -0.63, -0.63, 
##     -0.37, -0.43, -0.53, -0.56, -0.58, 0.35, 0.42, 0.56, 0.51, 
##     0.45, 0.31, 0.21, 0.21, 0.24, 0.18, 0.11, 0.29, 0.29, 0.21, 
##     0.19, 0.06, -0.43, -0.61, -0.82, -0.9, -0.98, -1.16, -1.27, 
##     -1.78, -1.83, -1.83, -1.81, 0.02, 0, 0.02, 0.06, 0.34, 0.4, 
##     0.35, 0.43, 0.55, 0.53, 0.5, 0.5, 0.48, 0.45, 0.45, 0.45, 
##     0.35, -0.1, -0.29, -0.66, -0.95, -1.2, -1.7, -1.78, -1.85, 
##     -1.99, -2.07, -2.1, -1.77, -1.67, -1.59, -1.56, -1.51, -1.46, 
##     -1.4, -1.27, -1.04, -1.08, -1.24, -1.06, -0.85, -0.35, -0.11, 
##     -0.05, 0.43, 0.4, 0.39, 0.42, 0.48, 0.47, 0.39, 0.37, 0.26, 
##     0.35, 0.39, 0.18, -0.05, -0.58, -0.8, -0.92, -0.96, -1.17, 
##     -1.33, -1.56, -0.5, -0.43, -0.37, -0.02, 0.35, 0.26, 0.22, 
##     -1.48, -2.01, -2.07, -2.25, -2.31, -2.31, -2.28, -2.17, -2.07, 
##     -1.81, -1.72, -1.69, -1.57, -1.48, -1.38, -1.36, -1.36, -1.38, 
##     -1.4, -1.69, -0.83, 0.48, 0.45, 0.26, -0.5, -0.39, 0.03, 
##     -0.58, -0.58, -0.56, -0.53, -0.51, -0.26, -0.16, -0.08, -0.1, 
##     -0.27, -0.32, -0.37, -0.42, 1.27, 1.41, 1.27, 1.59, 1.61, 
##     1.62, 1.73, -0.98, -1.4, -1.93, -2.97, -2.7, -1.83, -1.36, 
##     -0.96, -0.72, 0.06, -2.99, -2.57, -2.44, -2.07, -1.86, -1.83, 
##     -1.2, -0.47, -0.35, 0.16, 0.31, 0.34, 0.47, 0.61, 1.14, 1.17, 
##     1.16, 1.16, 1.16, 1.25, 1.41, 2.34, 2.3, 2.23, 2.22, -3.24, 
##     -3.4, -2.55, -1.32, -1.4, -1.59, -1.72, -1.8, -1.45, -0.26, 
##     -0.05, -0.05, 0, 0.06, 0.06, 0.16, 0.48, 1.06, 1.38, 1.43, 
##     1.45, 1.41, 1.45, 1.62, 0.83, -0.96, -1.62, -2.39, -2.83, 
##     -3.16, -3.07, -1.85, -1.81, -1.73, -3.2, -3.26, -3.24, -2.97, 
##     -2.49, -1.85, -1.57, -1.77, -1.88, -1.89, -0.29, 0, 0.08, 
##     0.1, -1.65, -1.85, -2.34, -2.78, -2.89, -2.71, -2.59, -2.18, 
##     -1.46, -1.06, -0.85, -0.96, -1.43, -1.54, -1.61, -1.59, -1.09, 
##     -0.47, 0.1, 0.06, 0, 1.51, 1.51, 1.36, 1.3, 1.28, 1.36, 1.53, 
##     1.54, 1.49, 1.12, -0.34, -0.37, -0.39, -0.31, -0.19, -0.21, 
##     -0.31, -0.31, -0.32, -0.1, -0.06, -0.02, 0.13, 0.26, 0.31, 
##     0.27, 0.08, 0.02, 0, -0.03, -0.16, -0.22, -0.29, -0.32, -0.31, 
##     -0.29, -0.42, -0.47, 0.24, -0.08, -2.33, -2.33, -2.46, -2.54, 
##     -2.33, -2.3, -1.94, -1.98, -1.54, -0.8, -0.53, -0.24, 0.29, 
##     0.71, 1.24, 1.62, 1.98, 1.91, 1.98, -0.18, -0.72, -1.49, 
##     -1.8, -1.85, -2.01, -2.09, -2.04, -1.12, -1.16, -1.2, -1.28, 
##     -1.14, -0.9, -0.59, -0.27, -0.14, -0.18, -0.21, -0.14, -0.03, 
##     0.24, 0.39, 0.35, 0.34, -0.39, -1.17, -1.32, -1.43, -1.93, 
##     -2.12, -2.2, -2.18, -2.15, -2.15, -2.12, -1.86, -0.8, -0.47, 
##     0.98, 1.45, 1.89, 1.94, 1.96, 1.96, 1.99, 1.99, 1.96, 1.48, 
##     0.11, -0.48, -0.69, -1.28, -1.54, -1.7, -1.73, 2.1, 2.07, 
##     1.7, 1.67, 1.04, 0.58, 0.39, -0.71, -0.98, -1.54, -1.77, 
##     -2.17, -2.28, -1.91, -1.73, -1.8, -1.85, -1.51, -1.49, -0.02, 
##     -0.02, 0.02, 0, -0.03, -0.02, -0.05, -0.03, -0.02, -0.03, 
##     -0.03, -0.06, -0.05, -0.03, -0.32, -0.61, -0.74, -0.75, -0.67, 
##     -0.51, -0.45, -0.32, -0.31, -0.27, -0.19, -0.11, 0.08, 0.14, 
##     -0.64, -0.71, -1.28, -1.11, -0.77, -0.74, -0.69, -0.69, -0.56, 
##     0.4, 0.61, 0.72, 0.82, 0.93, 1.04, 1.12, 1.17, -0.67, -0.71, 
##     -0.75, -0.74, -0.72, -0.74, -0.61, -0.34, -0.19, -0.02, 0.29, 
##     0.06, -1.49, -1.61, -2.34, -2.76, -2.59, -2.47, -1.91, -0.69, 
##     -0.48, -0.27, 0.05, 0.1, -0.11, -0.13, -0.1, -0.19, -0.18, 
##     -0.27, -0.29, 0.18, 0.42, 0.61, 0.72, 0.95, 1.03, 1.08, 1.14, 
##     1.61, 2.23, 2.26, 2.23, 1.33, 0.06, -1.12, -0.92, -0.74, 
##     -0.45, 0.32, 1.14, 1.27, 1.38, 1.51, 1.94, 1.93, 1.75, 1.67, 
##     1.19, -1.36, -2.67, 0.32, 0.63, 0.75, 1.48, 1.62, 1.7, 1.98, 
##     1.96, 1.86, 1.75, 1.59, -1.4, -2.57, -2.2, -1.73, -1.49, 
##     -1.48, -1.51, -1.19, -1.06, -1.08, -0.59, -0.42, -0.14, -0.11, 
##     1.22, 1.24, 1.08, 0.08, -0.22, -0.26, -0.34, -2.09, -2.44, 
##     -2.38, -2.23, -1.73, -1.69, -1.48, -0.96, -0.83, -0.14, 0.26, 
##     0.32, 0.48, 0.56, 1.27, 1.28, 1.25, 1.24, 1.2, 1.16, 1.4, 
##     1.35, 1.24, 0.26, -0.18, -0.24, -0.42, -0.61, -0.9, -1.28, 
##     -1.4, -1.77, -1.91, -2.02, -1.91, -0.87, -1.01, -1.22, -1.19, 
##     -1.27, -1.38, -1.38, -1.45, -0.67, -0.58, -0.51, -0.5, -0.45, 
##     -0.4, -0.26, -0.22, -0.13, -0.08, -0.02, -0.08, -0.08, -0.1, 
##     -0.39, 0.43, 0.58, 0.51, 0.53, 0.66, 0.69, 0.22, 0.24, 0.26, 
##     0.29, 0.27, -0.19, -0.45, -0.51, -0.71, -1, -1.06), gyros_arm_z = c(-0.02, 
##     0.02, 0, -0.02, 0, 0, -0.02, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, 0, -0.02, 0, 0, -0.02, 0, 0, -0.02, -0.02, 
##     0, -0.02, -0.02, 0, -0.02, -0.02, 0, -0.02, -0.03, -0.03, 
##     -0.02, -0.02, 0, 0, -0.02, 0, 0, -0.03, -0.02, -0.03, -0.02, 
##     -0.02, 0, -0.02, 0, 0.02, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0, -0.02, -0.02, 0, 0, 0, 0, -0.03, -0.03, -0.03, 
##     -0.03, -0.02, -0.02, -0.03, -0.02, -0.02, 0, -0.02, -0.03, 
##     -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, 0.02, -0.03, -0.02, 
##     -0.02, -0.03, -0.02, -0.02, -0.03, 0, 0, -0.02, -0.03, -0.05, 
##     0, -0.03, -0.02, 0, 0.02, 0.02, 0, -0.02, -0.11, -0.08, -0.05, 
##     -0.07, -0.11, -0.11, -0.1, -0.07, -0.05, -0.05, 0.03, -0.03, 
##     -0.02, -0.02, -0.08, -0.07, -0.08, -0.07, -0.03, 0.02, 0.02, 
##     -0.05, -0.08, -0.02, -0.03, -0.03, -0.03, -0.43, 0.13, 0.13, 
##     0.11, 0.13, 0.15, 0.13, 0.15, 0.16, 0.18, 0.18, 0.07, -0.2, 
##     -0.05, 0.08, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.08, 0.07, 
##     0.08, 0.1, 0.07, 0.1, 0.1, 0.13, 0.13, 0.16, 0.1, 0.07, 0.11, 
##     0.13, 0.08, 0, 0.05, 0.02, 0, 0, 0.08, 0.05, -0.15, -0.13, 
##     -0.03, 0.03, 0, -0.07, -0.07, -0.05, -0.03, -0.23, -0.13, 
##     0.51, 0.41, 0.15, 0.2, 0.05, -0.05, -0.07, 0.02, 0.02, 0.03, 
##     0.05, 0.02, -0.13, -0.21, -0.16, -0.07, 0.28, -0.13, -0.44, 
##     -0.25, -0.13, -0.13, -0.15, -0.21, -0.16, -0.15, -0.13, -0.05, 
##     0.05, 0.25, 0.15, 0.13, 0.03, -0.13, -0.18, -0.2, -0.13, 
##     -0.02, 0.33, 0, 0.07, 0.25, 0.33, 0.28, 0.07, 0, 0.11, 0.18, 
##     0.2, 0.16, -0.02, 0.23, 0.03, 0.15, 0.23, 0.28, 0.15, 0.13, 
##     0.08, 0.03, 0.02, 0.26, 0.21, 0.05, 0.21, 0, 0.02, 0.15, 
##     0.16, 0.23, 0.21, 0.1, -0.31, -0.3, -0.25, -0.28, -0.26, 
##     -0.18, 0.21, 0.41, 0.08, -0.13, 0.13, 0.3, 0.36, 0.15, 0.08, 
##     0.03, 0.1, 0.34, 0.23, 0.26, 0.25, 0.08, -0.21, -0.16, 0.16, 
##     0.02, 0.07, -0.25, -0.28, -0.08, -0.07, -0.31, 0.2, 0.31, 
##     0.28, 0.2, -0.11, -0.16, -0.23, -0.3, -0.44, -0.2, 0.13, 
##     -0.3, 0, 0.1, 0.02, 0, 0, -0.18, -0.13, -0.07, 0.08, 0.23, 
##     0.28, 0.25, -0.11, -0.15, -0.2, -0.25, -0.38, -0.28, -0.02, 
##     0.15, -0.31, -0.3, -0.03, 0.15, 0.33, -0.1, 0.26, 0.51, 0.07, 
##     0.23, 0.23, 0.2, 0.11, 0.02, 0.11, 0.08, 0.08, 0.02, -0.2, 
##     -0.18, -0.18, 0.25, 0.16, -0.16, -0.23, 0.41, 0.51, 0.56, 
##     0.48, 0.33, 0, 0.08, 0.02, -0.13, -0.25, -0.25, -0.21, -0.07, 
##     0.03, -0.07, 0.13, 0.61, 0.16, 0.49, 0.36, 0.23, -0.05, 0.07, 
##     -0.26, -0.21, -0.11, -0.05, -0.11, -0.03, -0.02, 0.05, 0.16, 
##     0.18, 0.16, 0.16, 0.2, 0.25, 0.33, 0.25, 0.16, 0.3, 0.26, 
##     0.2, -0.05, 0.05, -0.07, -0.26, -0.21, 0.28, 0.07, 0.02, 
##     -0.02, 0.03, 0.05, 0, 0.02, 0.16, 0.15, 0.15, 0.07, 0.59, 
##     0.15, 0.1, 0.05, 0.02, 0.15, 0.16, -0.33, -0.18, -0.49, -0.38, 
##     -0.25, -0.1, -0.54, -0.66, -1.66, -1.89, -2.28, -2.13, -1.57, 
##     -0.8, -0.49, -0.18, 0.07, 0.21, 0.3, 0.18, 0.25, 0.77, 0.94, 
##     1.03, 1.05, 0.74, 0.62, 0.49, 0.44, 0.34, 0.38, 0.61, 0.69, 
##     0.59, 0.64, 0.69, 0.75, 0.84, 0.82, 0.74, 0.62, 1.16, 1.02, 
##     0.62, 0.57, 0.61, 0.67, 0.69, 0.79, 0.87, 0.95, 0.94, 0.89, 
##     0.85, 0.92, 0.94, 0.92, 0.84, 0.84, 0.84, 0.87, 0.98, 1.02, 
##     1.69, 1.25, 0.34, 0.2, 0.36, 0.92, 0.8, 0.79, 0.79, 0.79, 
##     0.89, 0.89, 0.79, 0.71, 0.75, 0.9, 0.95, 0.95, 0.82, 0.75, 
##     0.69, 0.74, 0.92, 0.94, 0.87, 0.74, 0.82, 0.85, 0.85, 0.84, 
##     0.79, 0.77, 0.77, 0.82, 0.87, 0.82, 0.8, 0.77, 0.74, 0.75, 
##     0.8, 0.85, 0.87, 0.85, 0.84, 0.84, 0.85, 0.85, 0.85, 0.67, 
##     0.85, 0.92, 0.89, 0.72, 0.67, 0.8, 0.79, 0.79, 0.77, 0.79, 
##     0.82, 0.85, 0.97, 1.07, 1.07, 1.07, 1.03, 0.94, 0.85, 0.85, 
##     0.85, 0.75, 0.74, 0.71, 0.69, 0.66, 0.61, 0.59, 0.72, 0.66, 
##     0.57, 0.39, 0.25, 0.13, 0.26, 1.03, 1.15, 0.82, 0.49, 1.13, 
##     1.62, 0.52, 0.39, 0.74, 0.8, 0.79, 0.75, 0.75, 0.75, 0.8, 
##     0.8, 0.77, 0.74, 0.72, 0.69, 0.74, 0.51, 0.34, 0.61, 0.69, 
##     0.66, 0.69, 0.79, 0.95, 0.67, 0.84, 1, 1.23, 1.25, 1.28, 
##     1.28, 1.25, 0.75, 0.56, 0.28, 0.74, 0.79, 0.82, 0.79, 0.75, 
##     0.77, 0.8, 0.8, 0.79, 0.82, 0.82, 0.84, 0.84, 0.8, 0.8, 0.92, 
##     0.9, 0.75, 0.97, 0.87, 0.74, 0.8, 0.8, 0.79, 0.75, 0.75, 
##     0.79, 0.79, 0.84, 0.9, 0.9, 0.94, 0.9, 0.87, 0.74, 0.72, 
##     0.84, 0.74, 0.75, 0.69, 0.72, 0.54, 0.31, 0.52, 0.41, 0.54, 
##     0.62, 0.85, 0.61, 0.9, 1.13, 1.26, 1.05, 0.54, 0.57, 0.75, 
##     0.74, 0.71, 0.79, 0.9, 0.79, 0.85, 0.87, 0.8, 1.1, 0.97, 
##     0.9, 0.84, 0.75, 0.75, 0.84, 0.95, 1.05, 1.16, 1.12, 0.79, 
##     0.8, 0.9, 0.85, 0.84, 0.59, 0.62, 0.84, 0.87, 0.8, 0.77, 
##     1.64, 1.18, -0.67, 0.95, 0.67, 0.87, 0.87, 0.87, 0.85, 0.84, 
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##     -0.03, 0.03, -0.13, -0.11, -0.1, -0.07, -0.03, -0.07, -0.08, 
##     -0.05, -0.05, -0.07, 0.28, 0.26, 0.15, -0.62, -0.39, -0.3, 
##     -0.26, -0.21, -0.13, 0.18, 0.49, 0.61, 0.64, 0.66, 0.69, 
##     0.97, 0.52, 0.59, 0.8, 1, 0.54, 0.66, 0.87, 0.75, 0.64, 0.57, 
##     0.66, 1.05, 0.87, 0.94, 0.71, 0.56, 0.59, 0.51, 0.44, 0.39, 
##     0.43, 0.95, 0.94, 0.61, 0.69, 0.67, 0.69, 0.71, 0.74, 0.89, 
##     1.1, -0.02, -0.02, 0.39, 0.64, 0.46, 0.49, 0.62, 0.75, 0.31, 
##     0.49, 0.57, 0.72, 0.52, 0.52, 0.49, 0.56, 0.62, 0.75, 0.75, 
##     0.72, 0.51, 0.15, 0.08, 0.31, 0.9, 0.95, 1.03, 1.13, 1.16, 
##     0.82, 0.49, 1.41, 1.2, 0.62, 0.3, 1.1, 1.02, 0.85, 0.84, 
##     0.8, 0.74, 0.74, 0.75, 0.77, 0.77, 0.84, 0.77, 0.75, 0.75, 
##     0.87, 0.89, 0.97, -0.02, 0.36, 0.54, 0.46, 0.59, 0.77, 0.9, 
##     1.12, 1.23, 0.75, 0.77, 0.79, 0.87, 0.9, 0.84, 0.8, 0.85, 
##     0.94, 0.82, 0.62, 0.61, 0.57, 0.56, 0.97, 0.98, 0.74, 0.77, 
##     1.05, 1.1, 1.12, 0.71, 0.64, 0.69, 0.79, 0.75, 0.8, 0.79, 
##     0.74, 0.74, 0.75, 0.77, 0.77, 0.77, 0.79, 0.79, 0.79, 0.8, 
##     0.8, 0.79, 0.77, 0.77, 0.79, 0.75, 0.77, 0.79, 0.79, 0.79, 
##     0.82, 0.82, 0.79, 0.79, 0.8, 0.8, 0.8, 0.8, 0.8, 0.77, 0.75, 
##     0.74, 0.72, 0.74, 0.75, 0.75, 0.77, 0.79, 0.8, 0.8, 0.8, 
##     0.77, 0.77, 0.79, 0.77, 0.75, 0.75, 0.75, 0.79, 0.82, 0.84, 
##     0.8, 0.8, 0.79, 0.79, 0.75, 0.75, 0.75, 0.77, 0.72, 0.72, 
##     0.75, 0.85, 0.79, 0.89, 0.92, 0.97, 1, 1.05, 1.03, 1.02, 
##     1.02, 0.97, 0.71, 0.79, 0.79, 0.79, 0.8, 0.79, 0.74, 0.72, 
##     0.71, 0.75, 0.77, 0.77, 0.77, 0.77, 0.74, 0.72, 0.75, 0.8, 
##     0.8, 0.85, 1, 1.05, 1.05, 0.8, 0.85, 0.82, 0.82, 0.79, 0.72, 
##     0.61, 0.59, 0.72, 0.74, 0.71, 0.71, 0.52, 0.69, 0.79, 1.03, 
##     1.03, 0.98, 0.92, 0.75, 0.79, 0.79, 0.92, 0.85, 0.8, 0.8, 
##     0.8, 0.8, 0.8, 0.8, 0.79, 0.79, 0.75, 0.74, 0.75, 0.77, 0.82, 
##     0.84, 0.85, 0.26, 0.05, 0.07, 0.39, 0.38, 1.02, 1.1, 1.02, 
##     0.89, 0.54, 0.61, 0.82, 0.94, 0.79, 0.74, 0.67, 0.74, 0.8, 
##     0.8, 0.75, 0.82, 0.84, 0.82, 0.8, 0.8, 0.77, 0.61, 0.52, 
##     0.51, 0.57, 0.75, 0.71, 0.59, 0.66, 0.89, 0.92, 0.87, 0.79, 
##     0.8, 0.87, 0.89, 0.89, 0.9, 0.9, 0.84, 0.87, 0.85, 0.75, 
##     0.82, 0.84, 0.94, 0.89, 0.85, 0.92, 0.94, 1.02, 1.02, 0.82, 
##     0.85, 0.64, 1.15, 1, 1.23, 0.34, 0.11, -0.03, 0, 0.23, 0.94, 
##     0.92, 0.95, 1.18, 1.21, 1.12, 0.9, 0.62, 0.69, 0.79, 0.82, 
##     0.82, 0.82, 0.82, 0.8, 0.75, 0.79, 0.8, 0.79, 0.79, 0.79, 
##     0.71, 0.79, 0.46, 0.41, 0.46, 0.67, 0.84, 1.2, 0.97, 0.61, 
##     0.94, 0.71, 0.74, 0.98, 0.82, 0.61, 0.62, 0.72, 0.38, 0.34, 
##     0.71, 1.74, 1.23, 1.02, 0.82, 0.59, 0.23, 0.25, 0.64, 0.9, 
##     1.02, 0.44, 1.15, 1.02, 0.85, 0.79, 0.75, 1, 1.49, 0.38, 
##     0.57, 0.74, 0.82, 0.46, 0.25, 0.62, 0, 1.56, 1.41, 1.33, 
##     0.62, 0.61, 0.8, 1.02, 0.46, 0.51, 0.72, 0.95, 0.92, 0.39, 
##     0.46, 0.71, 0.64, 0.62, 1.05, 0.85, 0.33, 0.62, 1.07, 1.02, 
##     1.18, 0.69, 1.1, 0.41, 0.56, 0.69, 0.89, 0.95, 0.9, 0.87, 
##     0.79, 0.82, 1.08, 1.1, 0.8, 0.64, 0.69, 0.71, 0.74, 0.84, 
##     0.79, 0.82, 0.75, 0.74, 0.82, 0.9, 1.16, 1.25, 1.46, 1.62, 
##     1.77, 0.75, 0.79, 0.98, 1.1, 1, 0.82, 0.34, -0.02, 0.03, 
##     0.31, 0.77, 0.79, 0.8, 0.82, 0.84, 0.85, 0.97, 1.07, 1.2, 
##     1.2, 1.15, 1.12, 0.97, 0.67, 0.67, 0.79, 0.75, 0.61, 0.61, 
##     0.46, 0.36, 0.28, 0.26, 0.51, 1.18, 1.05, 0.59, 0.98, 1.1, 
##     1.12, 0.8, 0.69, 0.57, 0.51, 0.41, 0.46, 0.56, 0.56, 0.61, 
##     1.56, 1.69, 1.21, 0.64, 0.28, 0.41, 0.54, 0.82, 1.1, 1.25, 
##     0.84, 0.67, 0.71, 0.66, 0.75, 0.84, 0.57, 0.64, 0.82, 0.82, 
##     0.95, 0.98, 0.92, 0.31, 0.26, 0.21, 0.33, 1.31, 1.71, 1.77, 
##     1.74, 1.28, 1.02, 0.39, 0.64, 1.15, 0.67, 0.67, 0.9, 1.02, 
##     1.03, 1.13, 0.9, 0.69, 0.62, 0.9, 0.87, 0.79, 0.75, 0.92, 
##     0.79, 0.61, 0.95, 0.98, 0.8, 0.94, 0.87, 0.8, 0.67, 0.62, 
##     0.57, 0.56, 0.66, 0.66, 0.2, 0.82, 0.94, 0.87, 0.9, 0.85, 
##     0.84, 0.74, 0.66, 0.92, 0.98, 0.8, 0.89, 0.9, 0.84, 0.82, 
##     0.79, 0.79, 0.8, 0.84, 0.79, 0.74, 0.8, 0.85, 0.84, 1.02, 
##     0.89, 0.9, 0.61, 0.97, 1.18, 1.38, 0.74, 0.87, 0.94, 0.82, 
##     0.79, 0.79, 0.79, 0.21, 0.28, 0.38, 0.49, 0.59, 0.72, 0.85, 
##     1.07, 1.05, 0.9, 0.9, 1, 0.15, 1.2, 1.25, 0.87, 0.79, 0.61, 
##     0.31, 0.72, 0.95, 0.92, 0.79, 0.61, 0.52, 0.39, 0.74, 0.89, 
##     0.89, 0.92, 0.9, 0.87, 0.92, 0.95, 0.77, 0.69, 0.71, 0.82, 
##     0.87, 0.89, 0.77, 0.77, 0.75, 0.75, 0.8, 1.02, 0.87, 0.82, 
##     0.74, 0.75, 1.05, 1.36, 1.28, 1.16, 0.31, 0.11, 0.18, 0.25, 
##     0.49, 0.69, 0.61, 0.85, 0.82, 0.87, 0.87, 0.85, 0.82, 0.8, 
##     0.79, 0.77, 1.28, 1.26, 1.08, 0.95, 0.61, 0.54, 0.62, 0.77, 
##     0.82, 0.82, 0.75, 0.64, 0.62, 0.02, -0.02, -0.02, -0.02, 
##     0, -0.07, 0.03, 0.05, 0.08, 0.08, 0.05, -0.02, -0.02, -0.02, 
##     0, -0.02, -0.05, 0, -0.03, -0.07, -0.1, -0.08, -0.07, 0.07, 
##     -0.05, -0.08, -0.05, -0.02, -0.03, -0.07, -0.1, -0.13, -0.2, 
##     -0.23, 0.25, 0.18, 0.15, 0.33, 0.38, 0.33, 0.31, 0.07, 0, 
##     -0.26, -0.51, -0.67, -0.71, -0.74, -0.67, -0.74, -0.94, -0.82, 
##     -0.39, -0.25, -0.18, -0.21, 0.1, 0.23, 0.31, 0.31, 0.28, 
##     0.21, 0.07, -0.1, -0.79, 0.36, 0.48, 0.51, 0.46, -0.02, -0.02, 
##     0.36, 0.44, 0.1, 0.13, 0.11, 0.15, 0.36, 0.62, 0.59, 0.52, 
##     0.16, 0.03, -0.1, -0.21, -0.31, -0.36, -0.07, 0.02, 0.3, 
##     0.2, 0.18, 0.21, 0.28, 0.26, 0.3, 0.26, 0.28, 0.1, 0.05, 
##     0.02, 0.3, 0, 0, -0.02, -0.03, -0.03, -0.02, 0.02, 0.02, 
##     0.02, 0.05, 0, -0.02, -0.03, 0.03, 0.03, -0.03, -0.05, -0.03, 
##     -0.02, 0, 0.05, -0.03, 0.87, 0.07, 0.03, -0.05, -0.11, -0.18, 
##     0.28, 0.02, -0.16, -0.25, -0.2, -0.16, -0.2, -0.16, 0.21, 
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##     -0.3, -0.28, -0.16, -0.34, 0.11, 0.03, -0.02, -0.26, -0.59, 
##     0.72, 0.49, -0.21, 0.39, -0.07, -0.54, -0.57, 0.44, -0.2, 
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##     -0.26, 0.2, -0.26, -0.66, -0.75, -0.57, 0.43, 0.51, -0.34, 
##     -0.48, 0.07, 0.18, 0.56, 0.05, 0, -0.1, -0.11, 0.31, 0.11, 
##     0.33, 0.31, 0.25, 0.46, -0.49, -0.44, 0.44, 0.57, 0.46, 0.38, 
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##     -0.13, -0.11, 0.46, -0.67, -0.1, -0.2, -0.28, -0.38, -0.89, 
##     -0.77, -0.46, -0.38, -0.26, -0.25, -0.44, -0.8, -0.77, -0.67, 
##     0.07, 0.38, 0.36, 0.23, -0.44, -0.23, 0.31, 0.16, 0.21, 0.21, 
##     0.25, 0.28, 0.26, 0.23, 0.1, 0.13, 0.2, 0.16, 0.18, 0.15, 
##     0.13, 0, -0.23, -0.13, -0.18, -0.13, 0, -0.13, -0.03, 0.49, 
##     0.46, -0.02, 0.1, 0.2, -0.08, 0.16, 0.36, 0.15, -0.15, -0.21, 
##     -0.3, -0.38, -0.25, -0.82, -0.87, -0.84, -0.66, -0.52, 0.44, 
##     0.54, 0.66, 0.54, -0.56, -0.25, 0.52, 0.1, -0.34, -0.64, 
##     -0.62, -0.69, -0.8, -0.72, -0.62, -0.43, -0.59, -0.34, -0.18, 
##     -0.08, 0.02, 0.07, -0.15, -0.34, -0.66, -0.54, -0.23, 0, 
##     -0.15, 0.21, 0.28, 0.21, 0.05, -0.07, 0.08, 0.59, 0.3, -0.02, 
##     0.03, -0.07, -0.02, 0.33, 0.05, -0.41, -0.43, -0.3, 0.07, 
##     -0.31, -0.46, -0.87, -0.74, -0.48, -0.08, 0.57, 0.67, -0.26, 
##     -0.38, -0.15, 0.33, 0.77, 0.3, 0.52, 0.62, 0.25, -0.69, 0.62, 
##     0.1, -0.11, -0.2, -1.3, -0.77, -0.67, -0.13, -0.62, -0.94, 
##     -0.71, -0.1, -0.36, 0.2, 0.16, 0.69, 0.54, 0.64, 0.85, 0.03, 
##     -0.11, 0.03, -0.1, -0.07, 0, -0.02, -0.67, 0.34, -0.03, -0.07, 
##     -0.03, 0.85, 0.95, 0.57, 0.49, 0.39, -0.54, -0.02, 0.05, 
##     -0.51, -0.69, -0.84, -0.94, -0.97, -0.54, -0.02, -1.3, -1.16, 
##     -0.41, -0.08, 0.57, 0.54, 0.08, 0.15, 0.23, -0.25, -0.15, 
##     0.28, 0.59, 0.72, 0.82, 1.2, -0.51, -0.25, 0.08, -0.16, -0.36, 
##     -1.12, -0.71, 0, 0.49, 0.56, 0.66, 0.75, -1.02, -0.92, -0.39, 
##     -0.38, 0.15, 0.25, 0.75, -0.43, -0.21, -0.1, 0.03, 0.07, 
##     0.1, 0.11, 0.18, 0.28, 0.51, 0.41, 0.46, 0.97, 1.1, 1.12, 
##     1.43, 1.25, 0.98, 0.66, 0.31, 0.16, 0.18, -0.34, -0.52, -0.66, 
##     -0.74, -1.82, -2.03, -2.17, -1.72, -0.1, -0.21, -0.38, -0.28, 
##     -0.31, -0.28, -0.2, -0.18, -0.3, -0.46, -0.44, 0.16, -0.1, 
##     -0.31, -0.23, 0.31, 0.3, -0.02, 0.21, 0.38, 0.57, 0.8, -0.3, 
##     -0.64, -0.11, 0.39, -0.07, -0.51, -0.28, -0.02, 0.15, 0.18, 
##     0.23, 0.16, 0.1, -0.05, 0.33, 0.39, 0.18, 0.08, -0.07, -0.11, 
##     -0.13, -0.11, -0.08, 0, 0.1, 0.05, -0.03, 0.13, 0.31, 0.38, 
##     0.28, -0.05, -0.1, 0.16, 0.15, 0.03, -0.03, -0.1, -0.11, 
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##     -0.08, -0.05, -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, -0.03, 
##     -0.03, -0.03, 0, 0.02, 0, 0, 0.03, 0.03, 0.03, 0.07, 0.03, 
##     -0.02, -0.03, -0.2, -0.25, -0.25, -0.44, -0.49, -0.49, -0.48, 
##     -0.43, -0.38, -0.11, 0.05, 0.2, 0.11, -0.02, -0.07, -0.03, 
##     0.02, 0.18, 0.15, 0.08, -0.1, -0.41, -0.51, -0.44, -0.33, 
##     -0.18, -0.07, 0.03, 0.08, -0.2, -0.61, -0.56, -0.52, -0.62, 
##     -0.79, -0.92, -0.92, -0.85, -0.48, -0.31, -0.1, -0.13, -0.08, 
##     -0.08, -0.05, 0.3, 0.51, 0.16, -0.02, 0, 0.05, -0.07, -0.1, 
##     0.41, 0.66, 0.11, 0, -0.11, -0.08, -0.25, -0.77, -0.59, -0.52, 
##     -0.52, -0.59, -0.16, -0.07, -0.03, -0.08, -0.11, -0.13, -0.11, 
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##     -0.23, -0.15, -0.07, 0.1, 0.28, 0.36, 0.07, -0.28, -0.41, 
##     -0.33, -0.02, 0.13, 0.34, -0.3, -0.25, -0.02, 0.08, 0.26, 
##     0.31, 0.31, 0.13, -0.03, -0.18, -0.48, -0.71, -0.62, -0.23, 
##     -0.05, 0, 0.02, 0.02, 0.1, 0.02, -0.3, -0.28, 0.03, 0.18, 
##     0.64, 0.51, 0.43, 0.36, 0.05, -0.02, -0.13, -0.26, 0.03, 
##     0.13, 0.25, 0.43, -0.02, -0.03, 0.18, -0.25, -0.2, -0.25, 
##     -0.26, -0.33, -0.23, -0.18, -0.03, 0.05, 0, -0.08, -0.38, 
##     -0.23, -0.33, -0.38, -0.26, 0.07, 0.38, 0.41, 0.31, 0.07, 
##     0.02, 0.38, -0.57, -0.41, -0.36, -0.33, -0.28, -0.28, -0.31, 
##     -0.26, -0.13, -0.21, -0.25, -0.25, 0.21, 0.41, -0.05, -0.34, 
##     -0.26, -0.11, 0.33, 0.3, 0.1, 0.08, -0.2, 0.51, 0.39, 0.26, 
##     0.34, 0.48, -0.56, -0.38, -0.1, 0, 0.1, 0.05, -0.08, -0.52, 
##     -0.67, -0.8, -0.85, -0.72, -0.39, -0.38, -0.38, -0.39, -0.33, 
##     0.11, 0.51, 0.05, 0.34, 0.38, 0.13, -0.13, 0.03, -0.15, 0.03, 
##     0.03, 0.18, 0.33, 0.77, 0.75, -0.11, -0.11, -0.13, -0.38, 
##     -0.67, -0.69, -0.61, 0.1, -0.33, -0.48, -0.52, -0.41, -0.03, 
##     -0.2, -0.28, -0.79, -0.36, 0.66, 0.74, 0.52, 0.33, 0.31, 
##     0.18, 0.1, -0.03, -0.07, -0.1, 0.08, 0, -0.31, -0.49, -0.38, 
##     0.49, 0.44, 0.31, 0.02, -0.1, -0.23, -0.13, 0.26, 0.2, 0.26, 
##     -0.95, -0.48, -0.2, 0, 0.23, 0.57, 0.82, -0.15, -0.48, -0.07, 
##     0.8, 0.8, 0.62, 0.3, 0.34, 0.57, 0.52, -0.59, -0.87, -0.9, 
##     -0.92, -0.82, 0.03, -0.11, -0.51, -0.52, 0.08, 0.51, 0.69, 
##     -0.33, -0.57, -0.1, 0.89, 0.51, 0.31, 0.25, 0.33, 0.51, -0.59, 
##     0, 0.11, 0, 0, -0.57, -0.05, 0.41, 0.56, 0.71, 0.59, 0.61, 
##     0.67, 0.61, 0.07, -0.03, 0.07, -0.05, -0.05, -0.07, -0.11, 
##     -0.03, 0.57, 0.3, -0.15, 0.1, 0.33, 0.13, -0.08, 0.05, 0.15, 
##     0.13, 0.07, 0.05, -0.03, -0.07, 0, 0, 0, 0.02, 0.02, -0.02, 
##     -0.02, 0.03, 0, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, 
##     -0.03, 0.28, 0.13, 0.02, 0.33, 0.41, 0.33, -0.25, -0.56, 
##     -0.52, -0.05, -0.21, -0.33, -0.33, -0.15, 0.18, 0.25, 0.26, 
##     0.34, -0.23, -0.72, -0.62, -0.57, -0.57, -0.31, -0.23, -0.16, 
##     0.03, -0.21, -0.41, -0.89, -0.85, -0.82, -0.71, -0.34, -0.66, 
##     -0.9, 0.21, 0.41, 0.25, -0.2, 0.03, 0.03, -0.41, -0.54, -0.75, 
##     -0.82, -0.75, -0.8, -0.16, -0.15, -0.11, 0.02, 0.2, 0.89, 
##     1.07, 0.61, 0.26, 0.2, 0.72, 0.62, 0.54, 0.34, -0.31, -0.21, 
##     -0.07, -0.23, -0.64, -0.84, -0.34, -0.34, -0.52, 0.34, 0.2, 
##     0.15, 0, 0.05, -0.07, -0.3, -0.33, -0.11, -0.02, 0.05, -0.08, 
##     -0.21, -0.23, -0.74, 0.59, 0.36, 0.48, 0.64, 0.61, 0.3, 0.21, 
##     0.25, 0.11, -0.18, -0.31, -0.21, -0.23, 0.05, -0.07, -0.11, 
##     -0.2, -0.18, -0.11, -0.34, -0.89, -0.87, -0.71, -0.52, -0.48, 
##     -0.51, -0.13, -0.07, 0, 0.05, 0.48, 0.25, -0.25, 0.57, 0.8, 
##     0.18, 0.13, 0.2, 0.28, 0.36, 0.48, 0.48, 0.1, 0.07, -0.23, 
##     -0.39, -0.38, 0.28, 0.13, -0.2, -0.39, 0.1, 1.13, 1.23, 1.28, 
##     1, 1, 0.92, 0.28, -0.49, -0.43, -0.36, -0.25, -0.34, -0.33, 
##     -0.33, -0.39, -0.1, 1, 1.43, 1.46, -0.48, -0.25, -0.57, -0.23, 
##     -0.25, -0.87, -0.85, -0.61, -0.56, -0.52, -0.28, -0.51, -0.08, 
##     0.13, 0.03, -0.3, 0.46, 0.66, 0.39, 0.52, -0.05, 0.15, 0.66, 
##     -0.18, -0.23, -0.21, -0.23, -0.2, -0.11, -0.07, 0.05, -0.02, 
##     0, -0.02, 0, -0.02, -0.02, -0.03, -0.05, -0.05, -0.03, 0, 
##     -0.03, -0.07, -0.03, -0.02, -0.02, -0.03, -0.07, -0.16, -0.44, 
##     -0.87, -0.97, -0.44, -0.64, -0.59, -0.48, -0.43, -0.11, -0.1, 
##     -0.95, -0.71, 0.08, 0.89, 0.9, 0.85, 0.8, 0.56, 0.64, 0.66, 
##     0.34, 0.2, 0.08, -0.59, -0.36, -0.08, -0.92, -0.64, -0.38, 
##     -0.18, -0.08, -0.51, 0.08, -0.61, -0.8, -0.67, -0.56, 0.28, 
##     1, 0.94, 0.82, 0.77, 0.92, 0.03, 0.23, 0.15, 0.03, -0.41, 
##     -0.26, 0.26, 0.31, 0.46, 0.41, 0.13, 0, 0.18, 0.05, -0.02, 
##     0.15, 0, -0.31, -0.3, -0.56, -1.44, -0.07, -1.05, -0.56, 
##     0.16, 0.61, 0.59, 0.66, 0.67, 0.79, 0.54, 0.38, 0.15, 0.16, 
##     0.38, 0.51, 0.31, 0.08, -0.52, -0.3, -0.15, -0.46, -0.52, 
##     -0.9, -0.84, -0.36, 0, 0.02, 0, 0, 0.03, 0.11, 0.05, -0.77, 
##     -0.43, 0.82, 1.03, 0.49, 0.08, 0.39, 0.59, -0.1, -0.13, 0.08, 
##     0.08, -0.03, -0.26, -0.48, -0.94, -0.94, -0.54, -0.21, -0.23, 
##     -0.25, -0.33, -0.66, -0.85, -0.3, -0.71, -0.79, -0.89, -0.64, 
##     -0.57, -0.18, -0.43, -0.31, -0.03, 0, 0.05, 0.54, 0.46, -0.84, 
##     -0.21, 0.87, 0.84, 1.1, 1.38, 1.28, 0.8, 0.72, 0.75, 0.77, 
##     0.89, 0.49, 0.48, 0.79, 0.74, 0.72, 0.69, 0.66, 0.66, 0.67, 
##     0.66, 0.72, 0.92, 0.9, 0.89, 0.66, 0.48, 0.36, 0.38, 0.43, 
##     0.31, 0.18, 0.16, 0.9, 0.92, 0.77, 0.66, 0.69, 0.75, 0.69, 
##     0.69, 0.43, 0.34, 0.38, 0.8, 0.89, 0.84, 0.77, 0.61, 0.79, 
##     1.08, 0.98, 0.59, 0.28, 0.36, 0.31, 0.44, 0.46, 1.1, 1.15, 
##     1.33, 1.35, 1.31, 0.92, 0.48, 0.64, 0.59, 0.66, 0.75, 0.84, 
##     0.56, 0.67, 0.62, 0.52, 0.43, 0.67, 0.72, 0.46, 0.52, 0.59, 
##     0.62, 0.8, 0.98, 0.87, 0.75, 0.56, 0.62, 0.56, 0.54, 0.56, 
##     0.56, 0.51, 0.43, 1.3, 1.2, 0.94, 0.59, 0.64, 0.72, 0.82, 
##     0.94, 0.66, 0.8, 0.87, 0.87, 0.57, 0.49, 0.43, 0.36, 0.26, 
##     0.74, 0.95, 0.98, 0.94, 1.07, 0.98, 0.66, 0.57, 0.54, 0.21, 
##     -0.07, 0.18, 0.18, 0.38, 1.07, 0.49, 0.11, -0.59, 2.07, 2.15, 
##     1.2, 0.72, 0.38, 0.44, 0.62, 0.69, 0.77, 0.72, 0.21, 0.21, 
##     0.98, 0.87, 0.71, 0.87, 1.07, 1.07, 1.08, 0.51, 0.51, 0.54, 
##     0.8, 0.82, 0.77, 0.75, 0.72, 0.75, 0.84, 0.92, 0.98, 1.16, 
##     1.07, 0.92, 0.87, 0.61, 0.49, 0.34, 0.82, 0.39, 0, 0.28, 
##     0.2, 0.33, 0.39, 0.28, 1.18, 1.18, 0.74, 0.75, 0.82, 0.84, 
##     0.64, 0.48, 0.41, 1.1, 1.3, 0.84, 0.94, 0.97, 0.98, 0.94, 
##     0.59, 0.51, 0.51, 0.49, 0.36, 0.34, 0.23, 0.64, 0.9, 0.98, 
##     1.26, 1.26, 1.23, 1.05, 0.2, 0.08, 0.56, 0.61, 0.54, 0.52, 
##     0.95, 0.95, 0.77, 0.79, 1.05, 0.92, 0.72, 1.12, 0.41, -0.02, 
##     0.05, 0.52, 0.92, 1.13, 1.16, 0.72, 1.16, 0.85, 0.87, 0.94, 
##     1, 1.18, 0.89, 0.57, 0.57, 0.54, 0.46, 0.33, 0.31, 0.33, 
##     1.05, 0.64, 0.72, 0.75, 0.66, 0.51, 0.46, 0.43, 0.41, 0.41, 
##     0.54, 0.79, 1.03, 1, 1.08, 1.21, 1.25, 1.26, 1.23, 1.25, 
##     1.28, 1.33, 1.21, 1.07, 0.95, 1.03, 1.05, 1.21, 1.25, 1.2, 
##     1.2, 1.08, 0.75, 0.85, 1.16, 1.23, 1.07, 0.77, 0.62, 0.71, 
##     0.77, 0.71, 0.64, 0.64, 0.66, 0.69, 0.72, 0.71, 0.62, 0.34, 
##     0.15, 0.87, 0.85, 0.84, 0.71, 0.64, 0.74, 0.79, 0.79, 0.59, 
##     0.62, 0.69, 0.94, 0.95, 0.97, 1.23, 1.26, 1.18, 0.72, 0.74, 
##     1.26, 1, 0.74, 0.64, 0.94, 1.15, 0.74, 0.82, 0.89, 0.9, 0.9, 
##     0.9, 0.28, 0.64, 1, 0.94, 0.8, 0.89, 0.97, 0.8, 0.75, 0.18, 
##     0.26, 0.1, 0.71, 1.15, 1.1, 0.66, 0.97, 1.08, 1.21, 1.13, 
##     0.97, 0.52, 0.56, 0.59, 0.56, 0.56, 0.64, 0.69, 0.64, 0.75, 
##     0.8, 0.84, 0.94, 1.03, 1.23, 1.35, 1.23, 1.16, 1.02, 0.92, 
##     0.54, 0.89, 0.89, 0.9, 0.92, 0.79, 0.79, 0.92, 0.9, 0.84, 
##     0.77, 0.77, 0.8, 0.84, 0.87, 0.9, 0.92, 0.85, 0.95, 1.25, 
##     1.05, 1.16, 1, 0.9, 0.75, 0.66, 0.54, 0.69, 0.62, 0.38, 0.41, 
##     0.38, 0.48, 0.49, 0.44, 0.15, 0.38, 0.66, 0.33, 0.31, 0.51, 
##     1.02, 1.15, 0.39, 0.48, 0.9, 0.18, 0.87, 0.9, 0.9, 0.64, 
##     0.67, 0.79, 1.03, 1.08, 1.05, 1.02, 0.98, 0.98, 0.85, 1.07, 
##     0.13, 0.41, 0.61, 0.72, 0.36, 1.74, 1.64, 0.34, 0.07, 0.67, 
##     0.52, 0.39, 0.62, 0.69, 0.72, 0.71, 0.71, 0.95, 1.05, 1.18, 
##     1.07, 0.98, 0.69, 0.62, 0.82, 0.94, 0.98, 0.89, 0.71, 1.21, 
##     1.05, 0.95, 0.82, 0.77, 0.72, 0.62, 0.26, 0.31, 0.62, 0.41, 
##     0.2, -0.05, 0.05, 0.43, 0.71, 1.26, 1.74, 1.62, 1.13, 0.44, 
##     0.51, 0.84, 0.61, 0.56, 0.61, 0.33, 0.59, 0.69, 0.69, 0.72, 
##     0.48, 0.25, 0.84, 0.71, 0.08, 0.03, 0.69, 1.05, 1.16, 1.18, 
##     1.23, 1.23, 0.97, 1.2, 1.08, 0.92, 0.77, 0.56, 0.49, 0.75, 
##     0.74, 0.87, 0.98, 0.95, 0.33, 1.02, 0.98, 0.64, 0.62, 0.95, 
##     0.77, 0.61, 0.46, 0.52, 0.57, 0.72, 1.02, 1.15, 1.23, 0.18, 
##     0.69, 0.75, 0.87, 1.03, 1.07, 1.08, 1.1, 1.1, 1.21, 1.21, 
##     1.2, 1.21, 1.2, 0.82, 0.71, 0.82, 0.85, 0.74, 0.54, 0.64, 
##     0.62, 0.62, 0.64, 0.67, 0.87, 0.79, 0.77, 0.77, 0.89, 0.67, 
##     0.59, 0.46, -0.08, -0.05, 0.03, 0.3, 0.56, 0.66, 0.23, 1.12, 
##     0.87, 0.41, 0.62, 1.05, 1.07, 0.98, 0.97, 1.13, 1.23, 1.12, 
##     0.97, 1.39, 1.49, 1.28, 1.07, 1.31, 1.23, 0.77, 0.77, 1, 
##     1.08, 0.54, 0.46, 0.41, 0.64, 1.08, 1.23, 1.26, 0.74, 1.1, 
##     1.31, 0.66, -0.18, -0.34, -0.31, 0.72, 0.57, 0.49, 0.51, 
##     0.67, 0.84, 0.85, 0.72, 0.77, 0.98, 1.26, 1.23, 1.21, 1.18, 
##     1.38, 1.36, 1.48, 1.41, 1.2, 0.38, 0.15, 0.18, 0.62, 1.02, 
##     1.33, 0.89, 0.87, 0.87, 1.16, 1.16, 0.79, 0.69, 0.61, 0.48, 
##     0.48, 0.49, 0.18, 0, 1.15, 0.46, 0.49, 0.61, 0.66, 0.77, 
##     0.8, 0.64, 0.38, 0.41, 0.39, 0.38, 0.34, 0.48, 0.49, 0.46, 
##     0.64, 1.77, 1.82, 1.67, 1.46, 1.18, 1.05, 0.89, 0.43, 0.39, 
##     0.71, 0.54, 0.16, 0, 0.94, 1, 0.95, 0.85, 0.57, 0.51, 0.46, 
##     0.36, 0.57, 0.66, 0.59, 0.56, 0.54, 0.56, 0.77, 0.87, 0.82, 
##     0.75, 0.75, 0.79, 0.85, 0.92, 1.05, 1.12, 1.15, 1.15, 1.12, 
##     1.03, 0.98, 0.94, 0.72, 0.62, 0.74, 0.75, 0.72, 0.49, 0.85, 
##     -0.03, -0.1, 0.33, 0.66, 0.64, 0.66, 0.64, 0.67, 0.62, 0.71, 
##     0.74, 0.79, 0.66, 0.79, 0.8, 0.8, 1, 1, 1, 0.97, 0.94, 0.9, 
##     0.74, 0.77, 0.8, 0.97, 0.87, 0.34, 0.1, 0.34, 0.67, 0.25, 
##     0.1, 0.15, 1.62, 1.35, 1.25, 0.46, 0.48, 0.61, 0.05, 1.05, 
##     0.94, 0.69, 0.56, 0.67, 0.77, 0.61, 0.28, 0.8, 0.89, 1.3, 
##     0.72, 1.07, 1.16, 1.08, 0.77, 0.74, 0.75, 0.84, 0.84, 0.77, 
##     0.82, 0.75, 0.77, 0.77, 0.28, 0.21, 0.15, 0.94, 1.13, 1.16, 
##     1.54, 1.41, 0.57, 0.48, 0.67, 0.89, 0.92, 0.62, 0.54, 0.52, 
##     0.62, 0.69, 0.72, 0.75, 1.16, 1.23, 1.12, 0.77, 0.64, 0.54, 
##     0.43, 0.62, 0.56, 0.52, 0.9, 1.13, 1.2, 0.89, 0.23, 0.84, 
##     0.9, 0.85, 0.87, 0.95, 0.94, 0.98, 1, 0.97, 0.61, 0.59, 0.54, 
##     0.43, 0.51, 0.9, 0.87, 0.9, 0.95, 1.02, 1.08, 1.2, 1.25, 
##     1.15, 0.97, 0.74, 0.75, 0.54, 0.41, 0.21, 0.3, 0.57, 0.54, 
##     0.71, 0.62, 0.69, 0.97, 1.07, 0.79, 0.64, 0.87, 0.71, 0.46, 
##     0.57, 0.9, 0.8, 0.8, 0.92, 0.94, 0.9, 0.89, 0.89, 0.85, 0.84, 
##     0.87, 0.82, 0.82, 0.79, 0.79, 0.77, 0.98, 0.82, 0.74, 0.71, 
##     0.8, 1.13, 0.9, 0.71, 1.02, 1.28, 1.16, 1, 0.67, 0.59, 0.62, 
##     0.67, 0.72, 1.13, 0.64, 1.28, 1.12, 1.13, 1.18, 1.2, 1.12, 
##     1.1, 1.02, 0.95, 0.85, 0.72, 0.74, 0.64, 0.64, 0.59, 0.72, 
##     0.98, 0.57, 0.56, 0.62, 0.67, 0.77, 0.87, 0.94, 0.82, 1.23, 
##     0.44, 0.07, -0.69, -0.62, 0.97, 0.8, 0.66, 1.12, 1.1, 1.07, 
##     1.07, 1.12, 1.15, -0.03, 1.03, 0.62, 0.23, 0.38, 0.39, 0.49, 
##     0.97, 1.08, 1.16, 0.95, 0.94, 0.34, 0.26, 0.02, -0.26, -0.44, 
##     -0.36, -0.3, -0.28, -0.3, -1, -0.9, -0.87, -0.23, 0.49, 1.03, 
##     1.28, 1.31, 1.26, 0.48, 0.87, 1.02, 0.59, 0.94, 1.18, -0.62, 
##     -0.52, -0.33, -0.54, -0.39, -0.57, -0.56, -0.41, -0.18, -0.28, 
##     -0.3, -0.85, -0.77, 0.28, 0.64, 0.75, 0.8, 0.85, 0.13, 0.1, 
##     0.02, 0, 0, 0, -0.07, -0.15, -0.11, -0.1, -0.07, -0.05, -0.02, 
##     -0.05, -0.07, -0.51, -0.61, -0.77, -0.74, -0.52, -0.48, -0.43, 
##     -0.44, -0.48, -0.41, -0.34, -0.33, -0.1, -0.25, -0.26, 0.52, 
##     0.75, 0.95, 0.1, -0.03, 0.43, 0.51, 0.36, 0.23, -0.05, -0.33, 
##     0, 0.23, 0.07, -0.02, -0.21, -0.34, -0.31, -0.2, -0.03, 0.56, 
##     0.34, 0.08, -0.11, -0.31, -0.28, -0.26, 0.07, -0.46, -0.51, 
##     -0.48, -0.38, -0.26, 0.26, 0.15, -0.3, -0.61, -0.71, -0.79, 
##     -0.82, 0.05, -0.05, -0.13, -0.13, -0.07, 0.3, -0.1, -0.1, 
##     -0.07, -0.05, 0, -0.66, -0.8, -0.74, -0.72, -0.75, -0.64, 
##     -0.34, -0.13, -0.15, -0.51, -0.52, -0.25, -0.02, 0.26, 0.61, 
##     -0.02, 0.21, -1.02, -1.35, -1.28, -0.51, -0.61, -0.77, -0.05, 
##     0.43, 0.31, 0.2, 0.15, 0.07, -0.3, 0.07, 0.15, 0.13, 0.03, 
##     0.05, 0.08, 0.11, 0.2, -0.11, -0.25, -0.25, -0.03, -0.25, 
##     -0.46, -0.39, -0.11, 0.39, -0.21, -0.46, -1.25, -1, -0.69, 
##     -0.57, 0.05, -0.2, -0.43, -1.05, -1.31, -1.25, -1.38, -1.18, 
##     -0.95, -0.43, -0.97, -1.12, -1.05, 0.05, -0.15, -0.69, -0.67, 
##     -0.62, -0.08, -0.07, 0.11, 0.3, -0.66, -0.67, -0.36, -0.08, 
##     -0.38, -0.41, -0.13, -0.94, -1.12, -1.31, -1.2, -1.03, -0.62, 
##     -0.92, -1.07, -0.2, -0.13, -0.21, -0.34, -0.59, -0.66, -0.56, 
##     -0.36, -0.2, 0, -0.1, -0.21, 0.44, -0.31, -0.05, 0.23, -0.41, 
##     -0.46, -0.16, 0.21, 0.46, -0.07, -0.15, -0.1, 0.34, 0.36, 
##     0.36, 0.03, 0.1, 0.61, 0.69, 0.72, 0.57, 0.56, 0.33, 0.23, 
##     0.46, 0.43, 0.05, -0.07, -0.31, -0.59, -0.43, -0.82, -0.44, 
##     -0.34, -0.44, -0.33, -0.2, 0.48, 0.64, 0, 0.64, 0.41, -0.49, 
##     -0.38, -0.23, 0, -0.08, -0.23, -0.28, 0.33, 0.15, 0.38, 0.49, 
##     0.43, 0.25, -0.05, 0, -0.05, -0.05, -0.05, -0.02, 0, -0.1, 
##     -0.2, -0.25, -0.2, -0.28, -0.21, -0.51, -0.71, -0.87, -1.03, 
##     -0.38, 0.15, 0.28, -0.98, -1.02, -0.92, -0.16, -0.49, -0.94, 
##     -1.43, 0.26, -0.2, -0.41, -0.2, 0.2, 0.64, 0.98, 0.87, 0.23, 
##     -0.1, 0.02, -0.07, 0.13, 0.21, 0.26, 0.18, 0.08, -0.03, -0.33, 
##     0.08, -0.25, -1.12, -0.31, 0.49, -0.46, -0.64, -0.77, -0.79, 
##     -0.82, -0.39, -0.05, 0.34, 0.36, 0.38, 0.41, -0.02, -0.56, 
##     -0.23, 0.16, 0.2, 0.13, 0.11, 0.1, -0.02, -0.11, 0.1, 0.16, 
##     -0.2, 0.08, 0.18, 0.1, -0.15, -0.33, -0.25, 0.16, 0.13, 0.26, 
##     0.46, 0.38, 0.25, 0.13, 0.25, 0.21, 0.3, 0.13, 0.05, -0.05, 
##     -0.08, -0.23, -0.23, -0.23, -0.25, -0.23, 0.03, 0.05, -0.21, 
##     -0.44, -0.57, -0.66, -0.39, 0.07, -0.05, -0.1, 0.05, 0.11, 
##     0.21, 0.11, 0.05, 0.05, 0.16, 0.3, 0.23, 0, -0.02, -0.15, 
##     0.33, 0.41, 0.3, 0.28, 0.26, 0.36, 0.31, 0.26, 0.18, 0, -0.16, 
##     -0.18, 0.02, 0.16, 0.15, 0.07, -0.02, -0.23, -0.31, -0.25, 
##     -0.08, 0.26, 0.41, -0.13, -0.13, -0.11, -0.08, 0.28, 0.71, 
##     0.74, 0.77, 0.79, 0.08, 0.03, 0.07, 0.16, 0.23, 0.28, -0.11, 
##     -0.15, -0.15, 0.11, 0.28, 0.31, 0.26, -0.3, -0.31, -0.15, 
##     0.15, 0.11, -0.05, -0.05, 0.15, 0.03, -0.02, 0.1, 0.13, -0.11, 
##     0.39, 0.38, 0.33, 0.3, 0.33, -0.31, 0.52, -0.2, -0.15, -0.03, 
##     0.1, 0.08, 0.11, 0.13, 0.13, -0.03, 0.13, 0.11, -0.03, -0.05, 
##     0.03, 0.08, -0.1, 0.11, 0.31, 0.18, 0.03, 0.05, 0.25, 0.21, 
##     0.1, 0, -0.03, 0.25, 0.31, 0.3, 0.25, 0.13, 0.15, 0.16, 0.1, 
##     0, -0.11, -0.08, 0.05, -0.11, -0.21, 0.11, 0.02, 0.16, 0.02, 
##     -0.16, -0.3, 0.13, 0.11, 0.02, 0.36, 0.52, 0.39, -0.07, 0.21, 
##     0.59, 0.52, 0.02, 0.1, 0.18, 0.28, 0.16, 0.11, 0.08, -0.13, 
##     -0.07, 0.18, 0.11, 0, -0.34, -0.07, 0.07, -0.31, 0.44, 0.1, 
##     -0.33, 0.1, -0.15, -0.16, -0.03, 0.66, -0.02, 0.18, -0.07, 
##     0.08, 0.2, 0.36, 0.38, 0.31, 0.16, 0.13, 0.1, -0.08, -0.25, 
##     -0.08, -0.11, 0.07, -0.3, -0.39, -0.31, 0.15, -0.2, -0.3, 
##     -0.49, 0.03, -0.98, -0.85, -0.71, -0.39, -0.41, -0.36, -0.05, 
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##     0.16, 0.11, -0.08, -0.46, -0.48, 0.13, -0.08, -0.28, -0.33, 
##     -0.52, -0.69, -0.75, -0.69, -0.59, -0.3, -0.18, 0.07, -0.21, 
##     -0.26, 0.3, 0.38, 0.49, -0.2, -0.2, -0.11, -0.08, -0.07, 
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##     -0.72, -0.64, -0.62, -0.51, 0.15, 0.23, 0.21, 0.21, 0.2, 
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##     -0.15, -0.15, -0.05, 0.03, -0.31, -0.05, -0.21, -0.3, -0.36, 
##     -0.43, -0.49, 0.08, -0.28, -0.56, -0.64, -0.52, -0.41, -0.02, 
##     0.1, 0.11, 0.11, 0.08, 0, -0.05, -1.1, -1.08, -0.9, 0.18, 
##     0.39, 0.67, 0.77, 0.74, 0.16, 0.3, 0.2, 0.23, -0.23, -0.13, 
##     -0.13, -0.15, -0.28, -0.33, -0.44, -0.82, -0.79, -0.72, -0.33, 
##     0.23, 0.18, 0.49, 0.57, 0.75, 0.67, 0.57, 0.41, 0.39, 0.38, 
##     0.31, 0.41, -0.07, -0.67, -0.21, 0, 0.28, 0.39, 0.39, 0.3, 
##     0, -0.18, -0.66, -0.9, -0.92, -0.75, -1.03, -1.13, -1.13, 
##     -1.05, 0.28, 0.51, 0.48, 0.44, 0.25, 0.23, 0.34, 0.43, 0.52, 
##     0.57, 0.64, 0.74, 0.61, 0.54, 0.49, 0.57, 0.39, -0.15, -0.25, 
##     -0.26, -0.95, -1.18, -1.39, -1.43, -1.08, -0.84, -0.48, 0.84, 
##     0.69, 0.02, 0.03, 0.1, 0.33, 0.02, 0, -0.03, -0.05, -0.1, 
##     -0.1, -0.07, -0.16, -0.28, -0.31, -1.48, -1.48, 0.03, 0.31, 
##     0.38, 0.39, 0.34, 0.33, 0.41, 0.3, 0.16, 0.28, 0.33, 0.31, 
##     0.23, -0.3, -0.23, -0.18, -0.11, 0.03, 0.11, 0.13, 0.05, 
##     -0.11, -0.21, -0.67, -0.82, -0.62, -0.3, -0.18, -0.13, -0.11, 
##     -0.2, -0.33, -0.21, 0.03, 0.44, -0.03, -0.43, -0.67, -0.61, 
##     0.52, 0.56, 0.49, 0.39, 0.07, 0.13, 0.1, 0.13, 0.2, 0.2, 
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##     -0.26, -0.3, -0.43, -0.66, -0.82, -0.43, -0.25, -0.26, -0.25, 
##     0, 0.02, 0, -0.07, -0.11, 0.02, 0.25, 0.28, 0.16, 0.25, 0.54, 
##     0.44, 0.52, 0.31, 0.11, 0.13, 0.64, 0.36, 0.07, 0.2, 0.16, 
##     0.11, 0.2, 0.23, -0.34, -0.43, -1, -1.26, -1.28, -1.25, 0.36, 
##     0.38, 0.41, 0.71, 0.23, 0.34, -0.07, -0.18, 0.41, 0.41, 0.26, 
##     0.2, 0.18, 0.15, 0.1, 0.03, -0.02, -0.03, -0.03, -0.1, -0.05, 
##     0.2, 0.08, -0.02, -0.07, 0.26, 0.41, 0.36, 0.36, 0.08, 0.02, 
##     -0.33, -0.39, -0.48, -0.48, -0.38, -0.39, -0.36, 0.03, 0.11, 
##     0.2, 0.25, 0.23, 0.2, 0.13, 0.13, 0, 0.07, 0.11, 0.07, -0.16, 
##     -0.08, 0.26, 0.16, 0.18, 0.07, -0.21, -0.33, -0.52, -0.67, 
##     -0.02, -0.18, -0.1, -0.08, 0.05, 0.11, -0.1, -0.18, 0.02, 
##     0.15, 0.25, 0.28, -0.02, -0.1, -0.1, -0.07, -0.08, -0.07, 
##     -0.07, -0.03, -0.02, -0.03, -0.05, -0.03, -0.03, -0.15, -0.2, 
##     -0.21, -0.26, -0.18, -0.18, -0.31, -0.36, -0.33, -0.44, -0.59, 
##     -0.56, 0.48, 0.52, 0.51, 0.34, 0.51, 0.74, 0.64, 0.56, 0.34, 
##     0.11, -0.07, -0.3, -0.2, -0.02, 0.43, 0.05, -0.11, -0.25, 
##     -0.44, -0.08, -0.36, -0.57, -0.72, -0.46, -0.15, 0.39, -0.26, 
##     -0.52, -0.13, 0.44, 0.67, 0.75, 0.71, 0.64, 0.64, 0.49, 0.52, 
##     0.02, 0.34, 0.33, 0.36, 0.25, 0.31, 0.48, 0.52, 0.26, 0.07, 
##     -0.36, -0.26, -0.1, 0.07, 0.07, -0.44, -0.77, -0.75, -0.31, 
##     0.1, -0.41, -0.41, 0.21, 0.23, 0.21, 0.25, 0.36, 0.28, 0.34, 
##     -0.05, 0.16, 0.38, 0.38, 0.3, 0.05, -0.15, -0.16, -0.57, 
##     -0.57, -0.69, -0.79, -0.43, -0.28, 0.02, 0.05, 0.16, 0.2, 
##     0.3, 0.51, 0.64, 0.31, 0.28, 0.33, 0.39, 0.48, 0.64, -0.48, 
##     -0.48, -0.59, -0.13, 0.79, 1.02, 0.92, 0.92, 0.64, 0.2, 0.72, 
##     0.89, 0.08, -0.08, 0.72, 0.62, 0.46, -0.3, -0.49, -0.51, 
##     -0.38, -0.2, 0.21, 0.2, -1, -1.1, -0.89, -0.77, -0.38, -0.05, 
##     0.05, 0.08, -0.1, -0.23, -0.39, -0.54, -0.26, 0.43, 0.98, 
##     1.1, 0.08, -0.59, -0.67, -0.51, 1.03, 0.85, 0.84, 0.67, 0, 
##     -0.02, 0.25, 0.31, -0.52, -0.28, -0.25, -0.2, -0.72, -0.52, 
##     -0.31, -0.66, -0.61, 0.43, 0.72, 1.16, 1.12, 0.8, -0.1, -0.25, 
##     0.38, 0.46, 0.59, 0.54, 0.48, 0.11, 0.03, 0.08, 0.15, 0.23, 
##     0.33, 0.41, 0.38, -0.05, -0.61, -0.59, 0.07, 0.05, 0.02, 
##     -0.03, 0.02, 0.03, 0.03, 0.02, -0.1, -0.1, 0.05, -0.03, 0, 
##     0, -0.03, -0.13, -0.18, -0.59, -0.66, -0.74, -0.92, -1, -0.66, 
##     -0.72, -0.82, -1, -0.46, -0.39, 0.1, 0.36, 0.82, 0.49, 0.49, 
##     0.72, 0.79, 0.79, 0.77, 0.71, 0.15, 0.1, 0.03, 0.05, -0.1, 
##     -0.11, -0.16, -0.15, -0.21, -0.31, -1.07, -1.51, -1.39, -0.62, 
##     0.03, 0.11, 0.18, -0.13, -0.31, -0.21, 0.25, 0.26, 0.34, 
##     0.57, 0.57, 0.92, 0.89, 0.49, 0.59, 0.46, 0.34, 0.25, 0.08, 
##     -0.16, -0.31, -0.16, -0.23, -0.46, -0.57, -0.61, -0.97, -0.69, 
##     -0.13, 0, -0.39, -0.44, -0.33, 0.08, -0.1, -0.3, 0.8, 1.2, 
##     0.56, 1.05, -0.26, -0.08, -0.02, -0.11, -0.18, -0.3, -1.15, 
##     -0.97, -0.84, -0.74, -0.62, -0.52, -0.23, -0.3, 0.36, 0.34, 
##     0.8, 0.74, 0.67, 0.98, 1.95, 1.66, 0.03, -0.36, -0.62, -0.77, 
##     0.05, 0, -0.34, -1.67, -1.69, -1.41, -1.08, -1, -0.85, -0.71, 
##     -0.51, -0.28, -0.18, -0.23, -0.11, -0.18, 0.21, 0.62, 1.08, 
##     1.03, 1.23, 1.18, 0.39, -0.08, -0.11, -0.07, -0.07, -0.21, 
##     -1.53, -1.49, -1.18, -1.13, -1.13, -0.48, 0.44, 0.33, -0.15, 
##     -0.44, -0.21, 0.25, 0.51, 1.38, 1.28, 1.07, 0.25, 0.18, 0.48, 
##     0.98, 0.74, 0.44, 0.33, 0.23, 0.16, -0.11, -0.36, -0.61, 
##     -0.8, -1.49, -1.46, -0.69, 0.03, 0, -0.2, -0.05, 0.98, 0.87, 
##     0.61, 0.3, 0.51, 1.33, 1.33, 1.21, 0.41, -0.13, -0.39, -0.38, 
##     -0.33, -0.16, -0.52, -0.66, -0.89, -1.12, -1.82, -1.59, -0.56, 
##     -0.05, 0.54, 0.61, 1.43, 0.07, -0.18, -0.52, -0.46, -0.48, 
##     -0.54, -1.48, -1.43, -0.87, -0.95, 0.15, 0.33, 0.79, 1.03, 
##     1.16, 0.52, 0.28, 1.57, 1.76, 0.44, 0.13, -0.2, -0.34, -0.15, 
##     -0.52, -1.28, -1.39, -1.15, -1.02, -0.38, -0.69, -0.67, 0.36, 
##     0.56, 0.49, 0.31, 0.25, 0.31, 0.66, 0.51, 1.12, -0.08, -0.15, 
##     -0.16, 0, 0.08, 0.16, 0.1, 0.08, -0.05, -0.05, -0.07, -0.03, 
##     0, 0.61, 1.02, 1.36, 1.46, 1.36, 0.18, 0.26, 1.38, 0.03, 
##     -0.51, -1.26, -1.05, -0.25, -0.08, -0.92, -1.15, -1.31, -0.56, 
##     -0.79, -1.05, -1.03, -0.72, 0.21, 0.84, 1.2, 0.79, 0.2, 0.31, 
##     0.39, 0.62, 0.8, 0.74, 0.62, 0.44, 0.66, 1.13, 0.2, 0.2, 
##     1, 0.61, 0.43, 0.56, 0.74, 0.74, 0.56, 0.44, 0.67, 0.66, 
##     0.69, 0.77, 0.84, 0.87, 0.87, 0.87, 0.44, 0.46, 0.49, 0.69, 
##     0.74, 0.95, 0.98, 0.98, 1.03, 1.13, 1.07, 1.02, 0.94, 0.84, 
##     0.95, 0.62, 0.69, 0.87, 0.97, 0.9, 0.79, 0.9, 0.64, -0.38, 
##     0.16, 0.52, 0.92, 0.98, 0.98, 1, 1.13, 1.18, 1.16, 1.35, 
##     0.62, 0.69, 0.52, 0.57, 0.56, 0.56, 0.61, 0.28, -0.15, 0.38, 
##     0.74, 0.61, 0.57, 0.72, 0.95, 0.84, 0.79, 0.54, 0.57, 0.39, 
##     0.34, 0.57, 1.03, 0.46, 0.57, 0.69, 0.38, 0.43, 0.34, 0.21, 
##     0.56, 0.33, 0.79, 0.89, 0.54, 0.64, 0.82, 0.97, 0.79, 0.82, 
##     0.85, 0.95, 0.9, 0.8, 0.9, 1.15, 0.98, 0.92, 0.9, 1.25, 1.33, 
##     1.28, 1.33, 1.18, 0.85, 0.82, 1.15, 1.31, 0.9, 0.77, 0.71, 
##     0.69, 0.71, 0.82, 0.9, 1.07, 1.12, 1.02, 0.95, 0.84, 0.46, 
##     0.23, 0.13, 0.48, 0.51, 0.84, 0.74, 0.75, 0.77, 0.82, 0.97, 
##     0.77, 0.77, 0.89, 0.94, 0.64, 0.71, 1.18, 1.15, 0.95, 0.87, 
##     1.18, 0.66, 0.34, 0.33, 0.46, 0.25, 0.43, 0.67, 0.74, 0.2, 
##     0.38, 0.43, 0.49, 0.89, 0.84, 0.8, 0.57, 0.56, 0.62, 0.84, 
##     0.75, 0.69, 0.61, 0.79, 0.87, 0.72, 0.77, 1.08, 1.41, 0.75, 
##     0.95, 0.72, 0.44, 0.57, 0.75, 0.95, 1.25, 1.33, 1.15, 0.51, 
##     0.89, 0.85, 0.84, 0.79, 0.13, -0.1, 0.48, 0.46, 0.41, 0.38, 
##     0.51, 0.56, 0.46, 0.49, 0.48, 0.59, 0.59, 0.77, 0.64, 0.9, 
##     0.95, 0.94, 0.8, 0.72, 0.77, 1.15, 1.38, 1.36, 1.05, 0.97, 
##     1.07, 1.25, 1.18, 0.82, 1.2, 1.08, 1, 0.77, 0.69, 0.72, 0.8, 
##     1.07, 1.1, 0.74, 0.57, 0.52, 0.62, 0.56, 0.48, 0.34, 0.48, 
##     0.59, 0.61, 0.79, 0.69, 0.69, 0.89, 0.9, 0.71, 1.02, 1.03, 
##     0.82, 0.8, 0.94, 0.92, 0.84, 0.31, 0.21, 0.21, 0.41, 0.46, 
##     0.43, 0.46, 0.52, 0.82, 0.54, 0.46, 0.49, 0.52, 0.75, 0.66, 
##     0.69, 0.71, 0.62, 0.64, 0.71, 0.84, 0.84, 0.79, 0.85, 0.9, 
##     1.03, 1.12, 1.44, 1.3, 1.26, 0.77, 0.57, 0.57, 0.85, 0.8, 
##     0.72, 0.54, 0.31, 0.33, 0.62, 0.59, 0.49, 0.54, 0.49, 0.64, 
##     0.74, 0.67, 0.79, 0.8, 1, 1.12, 1.05, 0.85, 0.77, 1.46, 1.23, 
##     1.21, 0.98, 1.03, 1.05, 0.9, 0.95, 1.1, 0.92, 0.92, 0.95, 
##     1, 0.3, 0.44, 0.15, 0.56, 1.07, 0.44, 0.62, 1.18, 0.72, 0.49, 
##     0.46, 0.67, 0.85, 0.95, 0.9, 0.77, 1.28, 1.35, 1.2, 0.87, 
##     0.98, 1.12, 1.1, 1.03, 1.07, 1.07, 0.61, 1.1, 0.15, 0.9, 
##     0.75, 0.66, 0.66, 1.28, 1.41, 1, 1, 0.9, 0.79, 0.85, 0.95, 
##     0.92, 0.87, 0.77, 1.1, 1.61, 1.76, 1.05, 0.98, 1.18, 1.71, 
##     0.56, 0.62, 0.79, 1.16, 1.18, 1.18, 1, 0.89, 0.94, 0.89, 
##     0.61, 0.62, 0.59, 0.25, 0.21, 0.23, 0.31, 0.49, 0.38, 0.69, 
##     0.71, 0.66, 0.33, 1.28, 1.1, 0.74, 0.59, 0.38, 0.87, 0.95, 
##     0.94, 0.74, 0.74, 0.92, 1.02, 0.31, 0.07, -0.11, 1.53, 0.46, 
##     0.59, 0.92, 0.87, 0.69, 0.64, 0.67, 0.62, 0.56, 0.46, 0.52, 
##     0.54, 0.61, 0.71, 0.44, 0.38, 0.43, 0.56, 0.82, 0.71, 0.71, 
##     0.82, 0.95, 0.8, 0.23, 0.59, 0.69, 0.71, 0.59, 0.71, 0.92, 
##     0.95, 0.82, 0.2, 0.82, 0.71, 0.79, 1, 1.13, 0.41, 0.2, 0.31, 
##     0.77, 0.71, 0.66, 0.64, 0.74, 0.82, 0.77, 0.89, 0.9, 1.03, 
##     1.03, 1.02, 0.94, 0.8, 0.61, 0.89, 1.33, 1.41, 1.2, 0.62, 
##     0.69, 0.62, 0.95, 1.07, 1.39, 1.38, 1.18, 1.02, 0.41, 0.8, 
##     1.79, 1.36, 0.98, 0.64, 1, 0.69, 0.66, 0.66, 0.72, 0.8, 0.95, 
##     0.94, 0.72, 0.39, 0.26, 0.49, 0.39, 0.31, 0.64, 0.8, 1.02, 
##     0.98, 0.94, 0.84, 1, 1.2, 0.94, 0.8, 0.72, 1.12, 1.44, 0.95, 
##     0.43, 0.59, 0.2, 0.02, 0.11, 0.36, 1.1, 1.72, 1.87, 1.84, 
##     1.35, -0.07, 0.56, 0.89, 1, 1.13, 1.12, 1.1, 0.62, 0.43, 
##     0.66, 0.97, 0.97, 1, 1.02, 1.07, 1.15, 1.13, 1.16, 1.28, 
##     1.2, 1.16, 1.1, 0.9, 1.39, -0.11, 1.05, 1.12, 1.02, 0.9, 
##     0.67, 0.54, 0.97, 0.33, 0.05, 0.21, 0.75, 0.9, 0.98, 0.92, 
##     0.85, 0.8, 0.75, 0.57, 0.52, 0.74, 0.97, 0.82, 0.61, 0.51, 
##     1.05, 1.05, 0.8, 0.75, 0.75, 0.77, 0.79, 0.77, 0.77, 0.56, 
##     0.84, 0.9, 0.98, 1, 0.72, 0.77, 0.87, 0.85, 0.75, 1.41, 1.08, 
##     0.1, 0.13, 0.46, 0.71, 0.95, 1.03, 0.15, 0.05, 0.2, 0.56, 
##     0.51, 0.72, 1.03, 1, 0.94, 0.9, 0.89, 1, 1.05, 1.03, 0.71, 
##     0.75, 0.8, 0.92, 0.9, 0.98, 1.03, 0.97, 0.8, 0.95, 1.33, 
##     0.67, 0.51, 0.46, 0.79, 0.89, 0.39, 0.64, 0.66, 0.46, 0.39, 
##     0.92, 0.95, 0.85, 0.85, 0.98, 1.03, 1.23, 1.39, 0.92, 0.66, 
##     0.56, 0.67, 0.67, 1.15, 1.03, 0.92, 1.08, 0.94, 0.82, 0.46, 
##     0.49, 0.61, 0.89, 1.02, 0.84, 0.43, 0.52, 1.35, 0.46, 0.36, 
##     0.36, 0.57, 0.69, 1.1, 0.64, 0.38, 1.05, 1.21, 1.02, 0.8, 
##     0.75, 0.54, 0.52, 0.62, 0.49, 0.33, 0.72, 0.69, 0.48, 0.52, 
##     0.64, 0.69, 0.72, 0.26, 0.34, 0.46, 0.64, 0.67, 0.43, 0.38, 
##     0.38, 0.62, 0.89, 1.03, 0.72, 0.69, 0.72, 0.75, 0.85, 0.9, 
##     0.98, 0.92, 0.87, 0.87, 0.92, 0.8, 0.84, 1.08, 1.26, 0.31, 
##     0.41, 0.85, 1, 1.1, -0.08, 0.39, 0.56, 1.02, 0.77, 0.15, 
##     0, -0.03, 0.18, 0.3, 0.62, 0.18, 0.54, 0.54, 0.49, 1.07, 
##     1.05, 0.97, 0.84, 0.98, 1.23, 1.36, 0.02, -0.18, 1.41, 1.39, 
##     0.54, -0.07, -0.03, -0.02, -0.57, -0.94, -0.92, -1, -1.15, 
##     -0.64, -0.64, -0.62, -0.54, -0.08, -0.13, -0.21, -0.3, -0.3, 
##     -0.15, 0, 0.05, 0.05, -0.11, 0.11, 0.03, 0.03, 0, -0.34, 
##     -0.36, -0.21, -0.08, 0.07, 0.07, 0.08, 0.13, 0.18, 0.2, 0.08, 
##     -0.02, -0.08, -0.07, -0.2, -0.18, 0.64, 0.31, 0.25, -0.08, 
##     -0.03, 0, -0.07, 0, 0.05, 0.3, 0.39, 0.31, 0.26, 0.13, -0.71, 
##     0.05, 0.38, 0.33, 0.28, 0.36, 0.59, 0.52, 0.21, 0.33, 0.52, 
##     0.52, 0.02, 0.13, 0.34, 0.41, 0.48, -0.08, -0.16, -0.18, 
##     -0.18, -0.16, -0.44, -0.59, -0.64, -0.44, -0.31, -0.21, -0.05, 
##     0.46, 0.44, 0.07, -0.26, -0.16, 0.23, -0.21, -0.03, -0.21, 
##     0.02, -0.03, -0.11, 0.07, 0.1, 0.07, 0.02, 0.16, 0.18, 0.15, 
##     -0.13, -0.18, 0, 0.11, 0.02, 0.03, 0.03, 0.44, 0.28, 0.26, 
##     0.21, 0.11, -0.1, 0.31, 0.11, 0.25, 0.28, 0.33, -0.2, -0.49, 
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##     0.28, 0.21, 0.13, -0.07, -0.43, -0.18, 0.03, -0.02, -0.23, 
##     -0.25, 0.15, 0.44, 1.18, 1.03, 0.57, 0.66, 0.75, 0.75, 0.71, 
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##     0.92, 0.02, 0.02, -0.02, 0.1, 0.62, 0.71, 0.79, 0.84, 0.87, 
##     0.64, 0.67, 0.77, 0.75, 0.82, 0.94, 1.12, 1.18, 1.18, 1.28, 
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##     0.26, 0.38, 0.69, 0.89, 0.84, 0.64, 0.31, 0.9, 0.57, 0.66, 
##     0.79, 0.74, 0.72, 1.02, 0.84, 0.87, 0.85, 0.77, 0.52, 0.38, 
##     0.33, 0.67, 0.77, 0.71, 0.66, 0.97, 1.07, 0.67, 0.77, 0.79, 
##     0.82, 0.84, 0.79, 1.59, 1.77, 0.84, 0.26, 0.13, 0.3, 0.41, 
##     0.67, 0.66, 0.64, 0.74, 1, 1.05, 0.95, 0.92, 0.36, 0.54, 
##     0.71, 0.34, 0.23, 0.89, 0.92, 0.92, 0.79, 0.69, 0.75, 0.77, 
##     1.03, 1.08, 1.03, 0.94, 0.84, 1.03, 1.26, 0.92, 0.8, 0.92, 
##     0.87, 0.8, 1, 0.69, 1.08, 1.23, 0.74, 0.36, 0.97, 0.89, 0.75, 
##     0.41, 0.75, 0.9, 0.98, 0.98, 0.94, 0.75, 0.77, 0.74, 0.77, 
##     0.87, 0.79, 0.72, 0.75, 1, 0.98, 0.92, 0.67, 0.72, 0.85, 
##     0.41, 0.66, 0.66, 0.75, 0.97, 0.8, 0.67, 0.34, 0.36, 0.62, 
##     0.97, 0.72, 0.67, 0.66, 0.77, 0.9, 0.98, 0.72, 0.89, 0.95, 
##     0.89, 0.57, 0.48, 0.43, 0.84, 0.8, 0.59, 0.64, 0.69, 0.74, 
##     0.74, 0.66, 0.79, 0.8, 0.77, 0.72, 0.51, 0.38, 0.54, 0.52, 
##     0.71, 0.59, 0.85, 1.08, 1.15, 0.89, 0.82, 0.75, 0.66, 0.54, 
##     0.67, 0.87, 0.94, 0.94, 1.18, 1.18, 1.16, 1.03, 0.69, 0.64, 
##     0.48, 0.52, 0.98, 0.92, 1.08, 0.94, 0.16, 0.69, 0.74, 1.26, 
##     1.26, 0.84, 0.77, 0.51, 0.59, 0.67, 0.41, 0.72, 0.69, 0.56, 
##     0.66, 0.69, 0.84, 0.9, 0.84, 0.71, 0.69, 0.69, 0.84, 0.85, 
##     0.94, 0.97, 0.9, 0.98, 1.05, 1.03, 0.97, 0.9, 0.66, 0.54, 
##     0.56, 0.56, 0.64, 0.72, 0.72, 0.56, 0.51, 0.39, 0.38, 0.21, 
##     -0.11, 0.15, 0.31, 0.33, 0.56, 0.69, 0.75, 0.74, 0.61, 0.61, 
##     0.51, 0.72, 0.92, 0.9, 0.98, 1.02, 1.07, 1.07, 1.05, 1.03, 
##     1.25, 1.38, 1, 1.07, 1.18, 1.33, 1.3, 0.2, 0.64, 0.36, 0.33, 
##     0.66, 0.94, 0.87, 0.77, 0.66, 0.69, 0.8, 0.43, 0.75, 1.1, 
##     0.92, 1.21, 1.03, 0.92, 1.15, 1.08, 0.36, 0.46, 1.31, 1.13, 
##     0.97, 0.82, 0.75, 0.64, 0.54, 0.54, 0.94, 0.95, 0.94, 0.87, 
##     0.87, 1, 0.94, 0.77, 0.74, 0.75, 0.87, 1.07, 0.75, 0.67, 
##     1.02, 0.82, 0.26, 0.72, 0.98, 0.98, 1.03, 0.46, 0.49, 0.79, 
##     0.98, 1.15, 1.07, 0.66, 0.34, -0.15, 1.03, 1.12, 0.75, 0.46, 
##     0.38, 0.38, 0.41, 0.52, 0.85, 0.92, 0.85, 0.54, 0.75, 0.84, 
##     0.89, 0.87, 0.44, 0.62, 0.79, 1.18, 1.1, 1.07, 1.41, 1.31, 
##     1.02, 0.89, 0.85, 0.82, 0.85, 0.9, 1, 0.89, 0.85, 0.89, 0.94, 
##     0.87, 0.85, 0.85, 0.9, 0.61, 0.51, 0.92, 1.41, 1.1, 0.74, 
##     0.34, -0.18, -0.2, -0.03, 0.46, 0.72, 1.21, 1.07, 0.56, 0.49, 
##     0.97, 1.03, 0.52, 0.66, 0.03, -0.26, 0.13, 0.52, 1.05, 0.92, 
##     0.69, 0.62, 0.62, 0.54, 0.54, 0.57, 0.48, 0.44, 0.48, 0.69, 
##     0.82, 1.02, 0.67, 0.84, 0.8, 0.74, 0.64, 0.66, 0.71, 1.05, 
##     0.69, 1.08, 1.1, 1.08, 0.98, 0.48, 0.39, 0.43, 0.72, 0.85, 
##     0.97, 1.02, 1.03, 0.64, 0.56, 0.54, 0.94, 1.13, 1.1, 1.05, 
##     0.98, 0.74, 0.74, 0.89, 0.97, 0.95, 0.82, 0.84, 0.72, 0.82, 
##     0.69, 0.79, 0.67, 0.71, 0.44, 0.31, 0.41, 0.77, 1.31, 0.79, 
##     0.89, 0.85, 0.79, 0.59, 0.54, 0.62, 0.41, 0.15, -0.33, 0.49, 
##     0.82, 1.26, 1.28, 0.57, 0.71, 0.56, 0.54, 0.56, 0.54, 0.8, 
##     1.23, 1.3, 0.36, 0.77, 0.89, 0.89, 0.82, 0.79, 0.82, 0.8, 
##     0.84, 0.92, 0.85, 0.72, 0.77, 0.82, 0.87, 0.85, 0.87, 0.92, 
##     0.92, 0.84, 0.72, 0.59, 0.71, 0.71, 0.52, 0.46, 0.52, 0.77, 
##     0.8, 0.82, 0.67, 0.48, 0.39, 0.54, 0.71, 0.43, 0.02, 0.26, 
##     -0.1, -0.1, -0.18, -0.28, -0.25, -0.1, 0.13, 0.82, 0.75, 
##     0.18, -0.25, -0.31, -0.2, -0.03, 0.23, 0.31, 0.1, -0.05, 
##     -0.16, -0.69, -0.02, -0.2, -0.2, -0.02, 0.15, 0.03, 0.03, 
##     0.05, 0.03, -0.74, -0.77, -0.61, -0.36, -0.07, 0.26, 0.26, 
##     -0.2, -0.34, -0.34, -0.69, -0.51, 0.03, -0.03, 0.02, 0.03, 
##     0.03, 0.08, -0.71, -0.62, -0.54, -0.44, -1.1, -0.92, -0.02, 
##     0, 0, 0.31, 0.23, 0.21, 0.2, 0.02, 0, 0.05, 0.03, 0.08, 0.05, 
##     -0.34, -0.34, -0.2, 0.18, 0.23, 0.18, 0.1, -0.46, -0.72, 
##     -0.51, -1.08, -1.12, -0.85, 0.03, 0.21, 0.36, 0.34, 0.28, 
##     0.28, 0.23, 0.1, 0.34, 0.54, 0.41, 0.44, 0.43, 0.57, 0.28, 
##     0.72, 0.49, 0.13, -0.25, -0.51, -0.28, 0.05, 0.11, 0.13, 
##     -0.15, -0.72, -0.75, -0.74, -0.64, -0.34, -0.74, -0.79, -0.87, 
##     -0.59, 0.69, 0.16, 0.05, 0.57, 0.52, 0.57, 0.44, 0.36, 0.36, 
##     0.43, 0.13, -0.11, -0.18, -0.1, 0.16, -0.18, -0.23, -0.43, 
##     -0.64, -0.39, 0.23, -0.11, -0.07, -0.07, -0.64, -0.1, -0.41, 
##     -0.26, -0.02, -0.05, 0.08, 0.2, 0.15, 0.1, 0.13, 0.3, 0.39, 
##     0.2, -0.39, -0.38, -0.34, -0.71, 0.1, 0.21, 0, 0.31, 0.54, 
##     0.62, 0.67, 0.84, 0.84, -0.18, -0.77, -0.66, 0.02, 0.25, 
##     0.26, 0.21, 0.16, -0.59, 0.74, 0.62, 0.31, 0.3, 0.33, 0.25, 
##     0.28, 0.44, 0.43, 0.38, 0.26, 0, -0.41, -0.03, -0.31, 0.02, 
##     0.08, -0.56, -0.48, -0.54, -0.59, -0.64, -0.77, -0.87, -0.66, 
##     -0.34, -0.25, 0.16, 0.43, 0.26, 0.39, 0.39, -0.23, -0.25, 
##     -0.31, -0.16, 0.38, 0.51, 0.36, 0.36, 0.66, 0.82, 1.41, 1.41, 
##     1.41, 1.51, 2.66, 3.02, 2.69, 2.4, 2.18, 2.12, 0.59, -0.49, 
##     -0.23, 0.1, 0.18, 0.13, 0.69, 0.74, 0.71, 0.66, 0.67, 0.38, 
##     1.12, 0.64, -0.56, -0.1, 0.15, 0.3, 0.46, 0.77, 0.74, 0.74, 
##     0.75, 0.51, 0.38, -0.33, -0.33, 0.67, 0.87, 0.54, 0.69, 0.75, 
##     0.98, 0.95, 1.05, 1.44, 1.28, 0.41, 0.31, 0.3, 0.57, 0.31, 
##     0.62, 0.69, 0.61, 0.57, 0.66, 0.75, 0.87, 0.41, 0.03, -0.15, 
##     -0.28, 0.25, 0.21, 0.33, 0.33, 0.94, 0.41, 0.48, 0.36, 1.03, 
##     0.67, 0.75, 0.95, 0.82, 0.72, 1.15, 0.85, 1.84, 1.77, 1.3, 
##     1.02, 0.56, 0.79, 0.8, 0.75, 0.77, 0.79, 0.84, 0.72, 0.64, 
##     0.52, 0.31, 0.28, 0.48, 0.77, 0.62, 0.28, -0.64, -0.51, -0.46, 
##     0.23, 0.38, 0.56, 0.98, 0.84, 0.79, 0.72, 0.74, 0.75, 1.41, 
##     0.92, 0.39, 0.43, 0.49, 0.82, -0.3, -0.39, -0.49, -1.12, 
##     -1.76, -1.25, 0.51, -0.75, -1.12, -1.02, -0.39, 0.72, 0.07, 
##     -0.11, 0.11, 0.69, 0.89, 0.82, 0.59, 0.39, 0, -0.15, -0.16, 
##     -0.16, -0.23, 0, -0.36, -0.39, -0.41, -0.34, -0.39, -0.13, 
##     -0.2, -0.36, -1.03, -1.15, 0.26, 0.44, 0.49, 0, 0.21, 0.39, 
##     0.48, 0.49, 0.62, 0.64, 0.61, 0.51, 0.41, 0.25, -0.18, 0.02, 
##     -0.18, -0.25, -0.11, -0.11, -0.31, -0.21, -0.1, -0.3, -0.51, 
##     -0.21, 0.43, 0.95, 1.12, -0.25, -0.21, 0.48, 0.48, 0.38, 
##     0.33, 0.48, 0.51, 0.38, 0.11, -0.03, -0.08, -0.25, -0.1, 
##     -0.2, -0.36, -0.59, -0.59, -0.71, -0.28, -0.15, -0.11, -0.36, 
##     -0.48, -0.18, 0.15, 0.66, 0.38, -0.33, -0.15, 0.26, 0.48, 
##     0.15, 0.13, -0.05, -0.07, -0.1, -0.2, -0.2, -0.13, -0.33, 
##     -1.35, -1.1, -0.49, -0.72, -0.79, -0.62, -0.31, -0.07, 0.48, 
##     0.48, -0.36, -0.34, 0.03, 0.25, 0.39, 0.49, 0.51, 0.54, 0.59, 
##     0.52, 0.49, 0.9, 1.23, -0.11, -0.59, 0.11, 0.31, -0.64, -0.64, 
##     -0.52, -0.48, -0.51, -0.75, -1.03, -0.98, -0.79, -0.71, -0.62, 
##     -0.54, 0.34, 0.16, 0.33, -0.36, -0.3, -0.08, 0.07, 0.03, 
##     -0.05, -0.16, -0.48, -0.82, -0.94, -0.98, -0.61, -0.84, -0.97, 
##     0, 0.49, -0.36, -0.33, 0, 0.41, 0.52, 0.57, 0.74, 0.36, -0.59, 
##     -0.49, -0.16, -0.34, -0.95, -1.13, -0.46, -0.36, 0.31, -0.28, 
##     -0.02, 0.79, 0.9, 0.75, 0.85, 0.8, 0.49, 0.49, 0.41, -0.54, 
##     -0.54, -0.38, -0.13, -0.11, -0.15, -0.51, -0.82, -0.92, -1, 
##     -0.97, -0.67, -0.49, -0.28, -0.62, -0.77, -0.64, -0.44, -0.21, 
##     0.89, 0.08, 0.46, 0.56, 0.56, 0.52, 0.52, 0.56, 0.56, 0.1, 
##     -0.02, -0.13, 0.13, 0.05, -0.02, -0.2, -0.08, -0.05, 0.02, 
##     -0.16, -0.36, -0.41, -0.43, -0.54, -0.59, -0.39, 0.21, 0.07, 
##     -0.02, 0.11, 0.2, 0.31, 0.28, 0, -0.15, 0.03, 0.08, 0.33, 
##     0.36, 0.66, 0.79, 0.89, 1.1, 1.15, 0.2, -1.38, -1.31, -0.97, 
##     -0.59, 0.16, -0.46, -0.41, -0.26, -0.44, 0.11, 0.07, -0.38, 
##     -0.07, 0.3, 0.43, 0.57, 0.75, -0.25, -0.46, -0.49, -0.11, 
##     0.48, 0.43, 0.49, 0.62, -0.05, 0.08, -0.15, 0.07, 0.36, -0.16, 
##     0.46, 0.49, 0.51, 0.54, 0.56, 0.3, -0.2, -0.38, -0.02, 0.26, 
##     0.05, -0.54, -0.69, -0.43, 0.75, 0.92, 1.08, 1.08, 0.71, 
##     1.03, 0.67, 0.28, -0.43, -1.2, -0.2, 0.08, 0, 0.36, 0.49, 
##     0.02, 0, 0.15, 0.3, 0.28, 0.16, 0.11, 0.1, -0.18, -0.26, 
##     -0.2, 0.26, 0.31, 1.13, 1.23, 0.57, -0.16, 0.03, 0.26, 0.15, 
##     -0.39, -0.43, -0.33, -0.54, -0.16, 0.02, -0.13, 0.23, 0.38, 
##     -0.15, 0.33, 0.36, -0.23, -0.69, -0.39, 0.26, 0.3, 0.25, 
##     -0.26, 0.11, 0.92, 0.41, 0.23, 0, 0.02, 0.1, 0.41, 0.48, 
##     0.69, 0.9, 0.98, 1.03, 0.85, 0.77, 0.75, 0.87, 0.9, 0.31, 
##     0.26, 0.28, 0.33, 0.44, 0.71, 1.48, 1.43, 0.33, 0.13, 0, 
##     -0.03, 0.61, 0.9, 0.97, 0.92, 0.94, 0.9, 0.9, 0.84, 0.82, 
##     0.84, 1.07, 0.87, 0.28, 0.16, 0.13, 0.31, 0.98, 0.97, 0.92, 
##     0.89, 0.95, 0.61, 1.28, 0.72, 0.49, 0.31, 0.44, 0.59, 0.48, 
##     0.69, 0.94, 0.82, 1.16, 0.82, 0.52, 0.13, 0.74, 0.95, 0.75, 
##     0.54, 0.08, 0.1, 0.92, 0.71, 0.89, 0.54, 0.75, 0.71, 0.71, 
##     0.71, 0.66, 0.49, 0.44, 0.51, 0.72, 0.77, 0.74, 0.77, 0.67, 
##     0.49, 0.3, 0.16, 0.15, 0.46, 0.66, 0.59, 1.08, 0.95, 1.41, 
##     0.31, 0.28, 0.87, 1.15, 1.41, 1.41, 1.36, 1.38, 1.31, 1.3, 
##     0.82, 0.56, 0.94, 1.1, 1.05, 0.89, 1.18, 1.18, 0.97, 0.56, 
##     0.48, 0.41, 0.51, 0.57, 0.98, 1.16, 0.97, 0.62, 0.08, 0.18, 
##     0.87, 0.92, 0.89, 1.12, 1.31, 0.97, 0.89, 1.05, 1.1, 0.72, 
##     0.94, 1.05, 1.18, 1.15, 1.03, 0.94, 0.71, 0.72, 0.87, 1.02, 
##     0.75, 0.57, 0.92, 1.08, 1.3, 0.98, 1.02, 0.84, 0.61, 0.39, 
##     0.72, 0.92, 0.72, 0.74, 0.67, 0.74, 0.64, 0.46, 0.46, 0.87, 
##     0.28, 0.21, 0.11, 0.1, 0.77, 0.84, 0.77, 0.67, 0.75, 0.8, 
##     0.8, 1.13, 0.98, 0.87, 0.75, 0.72, 0.82, 1.13, 1.13, 0.89, 
##     0.8, 0.87, 0.69, 0.31, 0.41, 0.49, 0.66, 1.07, 1.84, 1.21, 
##     0.89, 0.28, 0.61, 0.72, 0.57, 0.56, 0.77, 0.89, 0.94, 0.92, 
##     0.9, 0.89, 0.85, 0.75, 0.71, 0.82, 0.75, 0.62, 0.56, 1.03, 
##     0.94, 0.62, 0.52, 0.54, 1.05, 0.94, 0.74, 0.71, 1.07, 0.44, 
##     0.34, 0.61, 0.62, 0.61, 1.08, 1.18, 1.21, 0.44, 0.26, 0.23, 
##     0.69, 0.61, 0.51, 0.41, 0.72, 0.82, 0.8, 0.75, 0.75, 0.84, 
##     0.75, 0.77, 0.95, 0.97, 1, 1.05, 1.16, 1.21, 1.23, 1.03, 
##     0.77, 0.72, 0.75, 0.74, 0.79, 0.82, 0.84, 0.89, 1.36, 2.1, 
##     2.23, 2.2, 1.13, 0.57, -0.3, 0.05, 0.52, 0.38, 0.3, 0.64, 
##     1, 1.08, 0.9, 0.8, 0.71, 0.77, 0.75, 0.71, 0.59, 0.98, 1.08, 
##     1.33, 1.26, 1.07, 0.87, 0.62, 1.26, 0.75, 0.72, 0.71, 0.8, 
##     1.41, 1.51, 1.46, 1.33, 0.87, 0.56, 0.36, 0.44, 0.3, -0.41, 
##     -0.46, 0, 0.31, 1.74, 1.77, -0.07, -0.16, -0.08, 0.75, 1, 
##     0.79, 0.44, 0.48, 0.54, 0.74, 0.89, 1.03, 1.12, 1.18, 1.16, 
##     0.77, 0.51, 1.23, 1.44, 1.9, 1.08, 1.15, 0.57, 0.48, 0.77, 
##     1.74, 1.12, 0.77, 0.25, 0.33, 1.15, 1.46, 1.28, 0.95, 0.08, 
##     0.15, 0.21, 0.54, 0.3, 0.77, 0.9, 0.98, 0.13, 0.26, 0.49, 
##     0.9, 0.82, 0.71, 0.62, 0.77, 0.9, 1, 1.13, 0.97, 0.92, 0.9, 
##     0.87, 0.66, 1.31, 0.71, 0.36, 0.2, 1.38, 1.03, 0.49, 0.15, 
##     0.82, 1.03, 1.31, 1.28, 1.13, 1.15, 1.13, 1.13, 1, 0.46, 
##     0.56, 0.94, 0.21, -0.02, -0.02, 0.82, 0.84, 1.07, 0.98, 0.92, 
##     0.92, 0.85, 0.62, 1.02, 1.25, 0.46, 0.43, 0.69, 1.13, 1.02, 
##     1, 0.87, 0.85, 0.02, -0.61, -0.72, -0.61, -0.39, 0.08, -0.56, 
##     -0.64, -0.18, -0.07, 0.02, 0.05, -0.05, -0.23, -0.26, -0.18, 
##     -0.15, 0.36, 0.28, -0.11, 0.49, 0.41, 0.34, -0.21, -0.26, 
##     -0.2, -0.08, -0.07, 0.08, 0.18, 0.15, -0.08, -0.11, -0.13, 
##     -0.21, -0.38, -0.44, -0.38, -0.31, -0.26, -0.28, -0.25, -0.38, 
##     -0.05, 0.36, 0.02, 0.15, 0.05, -0.07, 0.2, 0.1, 0.2, 0.2, 
##     0.13, 0.2, -0.02, -0.08, -0.11, -0.16, -0.36, -0.39, -0.72, 
##     -0.82, -1.03, -1.08, -0.13, -0.08, -0.08, -0.18, -0.3, -0.31, 
##     -0.2, 0.05, 0.18, 0.16, -0.02, -0.15, -0.25, 0.21, 0.18, 
##     -0.03, 0.02, 0.2, -0.02, -0.1, -0.16, -0.18, -0.16, 0.08, 
##     0, 0.08, -0.02, 0.07, 0.1, 0.1, -0.11, -0.21, -0.34, -0.38, 
##     -0.33, -0.28, -0.26, 0.08, -0.41, -0.33, -0.28, -0.08, -0.05, 
##     -0.02, 0.15, 0.23, -0.13, -0.11, 0.33, 0.26, 0.23, -0.13, 
##     -0.11, -0.34, 0.03, -0.05, -0.18, -0.08, 0.15, 0.21, 0.21, 
##     0.07, -0.31, -0.33, -0.38, -0.07, 0.2, 0.18, 0.03, -0.07, 
##     -0.11, -0.1, -0.02, 0.1, 0.13, 0.2, 0.1, 0.11, -0.21, -0.25, 
##     -0.3, -0.23, -0.08, -0.2, -0.15, -0.1, 0.02, 0.1, 0.07, -0.02, 
##     -0.44, -0.46, -0.33, 0.02, 0.28, 0.25, 0.31, 0.36, 0.21, 
##     0.05, 0.07, 0.05, 0.3, 0.08, -0.03, -0.21, -0.15, 0.15, 0.11, 
##     0.08, -0.34, -0.3, -0.28, -0.21, -0.28, -0.33, -0.31, -0.25, 
##     -0.11, -0.13, -0.18, -0.26, -0.26, -0.34, -0.33, -0.31, -0.23, 
##     -0.1, 0.15, 0.16, -0.02, -0.15, -0.25, -0.13, 0.13, -0.1, 
##     -0.18, 0.18, 0.26, 0.13, -0.33, -0.33, -0.33, -0.18, 0.11, 
##     -0.11, -0.31, -0.39, -0.41, -0.18, -0.07, 0.02, 0.07, -0.18, 
##     0.18, 0.39, 0.38, 0.18, 0.02, -0.08, -0.15, -0.07, -0.13, 
##     -0.25, -0.31, -0.28, -0.28, 0.07, -0.05, -0.13, -0.05, -0.1, 
##     0.56, 0.62, 0.36, 0.03, -0.07, 0, -0.61, -0.61, -0.34, -0.03, 
##     0.16, 0.33, -0.07, -0.02, 0.16, 0.18, 0.3, 0.36, 0.34, -0.07, 
##     0.02, 0.03, 0.03, -0.07, -0.03, 0, -0.11, 0.15, 0.08, 0.08, 
##     0.08, 0.07, 0.03, -0.02, 0, 0, 0, -0.03, -0.05, 0.03, 0.02, 
##     -0.07, -0.05, -0.03, 0.02, -0.05, -0.05, 0.02, 0, 0, -0.02, 
##     0, -0.08, -0.05, 0.08, -0.05, -0.07, -0.08, -0.05, 0.02, 
##     0, -0.03, -0.05, -0.1, -0.15, -0.23, -0.11, -0.02, 0.2, -0.31, 
##     -0.02, 0.11, 0.18, -0.11, -0.15, 0.02, 0.16, 0.13, 0.07, 
##     -0.08, -0.02, -0.05, -0.05, 0, 0.07, -0.07, -0.02, -0.02, 
##     0, 0.07, 0.07, 0, 0.03, -0.03, -0.03, 0.1, 0.05, -0.08, -0.11, 
##     0, 0, -0.03, -0.05, -0.07, -0.05, 0, -0.03, -0.03, -0.03, 
##     -0.02, 0, 0.02, 0.03, 0.02, -0.05, 0.02, 0.03, 0.03, -0.07, 
##     -0.07, -0.02, -0.02, 0.03, 0.02, -0.03, 0, -0.02, -0.07, 
##     0, -0.03, 0, 0.02, 0.39, 0.38, 0.51, 0.51, 0.82, 0.71, 0, 
##     -0.16, -0.18, -0.21, -0.23, -0.2, -0.03, 0.05, 0.02, 0.03, 
##     0, 0.03, 0.11, -0.03, -0.3, -0.49, -1.1, -1.21, -1.43, -1.51, 
##     -1.53, -1.56, -1.61, -1.46, -0.85, -0.75, 0.43, 0.57, 0.54, 
##     0.57, 0.69, 0.8, 0.9, 1.1, 1.07, 0.82, 0.72, 0.94, 1.12, 
##     0.82, 0.56, -0.59, -1.16, -1.18, -0.31, -0.23, -0.33, -0.28, 
##     0.62, 0.69, 0.64, 0.66, 1.03, 0.95, 1.25, 1.53, 1.44, 0.98, 
##     -0.56, -1.31, -1.26, -1.02, 0.34, -1.38, -1.21, -1.15, -0.94, 
##     -0.77, -0.82, -0.75, -0.69, -0.61, -0.75, -0.85, -0.82, -0.07, 
##     0.61, 0.54, 0.82, 1.16, 0.57, 0.77, 0.92, 0.62, 0.54, 0.33, 
##     0.03, -0.26, -0.62, -0.72, 1.28, 0.28, -0.07, -0.46, -1.38, 
##     -1.2, -0.46, -1.16, -1.36, -0.75, 0.08, -1.51, -1.51, -0.9, 
##     -0.89, -0.71, -0.39, -0.3, -0.38, 0.31, 0.46, 0.56, 0.51, 
##     0.64, 1.03, 0.84, -0.02, 0.52, 0.62, -0.21, -0.44, -1.18, 
##     -1.05, -0.79, -0.97, 0.05, -0.15, -0.41, 0.23, 0.18, 0.16, 
##     0.26, 0.66, 1.03, 0.9, 0.43, 0.54, 0.85, 0.8, 1.16, 1.1, 
##     0.97, 0.85, 0.84, 0.84, 0.84, 0.87, 0.92, 0.59, 0.59, 0.54, 
##     0.64, 0.84, 0.89, 0.72, 0.71, 0.62, 0.59, 0.74, 0.69, 0.54, 
##     0.43, 0.75, 0.84, 0.92, 0.94, 0.92, 0.66, 0.67, 0.66, 0.71, 
##     0.77, 0.69, 0.43, 0.36, 0.59, 1.39, 1.36, 1.02, 0.61, 1.13, 
##     0.89, 0.74, 0.92, 1.16, 1.12, 0.87, 0.56, 0.56, 0.72, 0.85, 
##     0.9, 0.9, 0.64, 0, 0.15, 0.23, 0.33, 0.54, 0.69, 0.54, 0.82, 
##     0.92, 0.97, 0.67, 0.61, 0.64, 0.77, 0.72, 0.95, 1.12, 0.92, 
##     0.74, 0.77, 0.89, 1, 0.59, 0.64, 0.28, 0.36, 0.49, 0.69, 
##     0.54, 0.71, 0.74, 0.77, 0.72, 0.87, 0.82, 0.72, 0.52, 0.56, 
##     0.56, 0.59, 0.38, 0.07, -0.1, -0.02, 0.39, 0.79, 1.08, 0.98, 
##     0.66, 1.1, 1.15, 1.41, 1.41, 0.82, 0.72, 0.85, 0.69, 0.67, 
##     0.69, 0.72, 0.79, 0.87, 1.1, 1.03, 0.87, 0.64, 0.71, 1.26, 
##     0.15, -0.1, -0.43, -0.2, 0.16, 0.62, 1.12, 1.05, 0.77, 0.8, 
##     0.67, 0.59, 0.66, 0.71, 0.87, 0.94, 0.92, 0.64, 0.57, 0.69, 
##     0.82, 0.69, 0.66, 0.59, 0.52, 0.49, 0.54, 0.52, 0.51, 0.57, 
##     0.74, 0.77, 0.56, 0.54, 0.75, 0.79, 1.07, 0.61, 0.49, 0.23, 
##     0.26, 0.3, 0.54, 0.61, 0.49, 0.39, 0.43, 1.35, 1.05, 1.03, 
##     0.69, 0.64, 0.54, 0.92, 0.85, 0.87, 0.89, 0.9, 0.89, 0.85, 
##     0.69, 0.61, 0.69, 0.69, 0.54, 0.79, 0.87, 0.9, 0.69, 0.92, 
##     0.98, 1.16, 0.89, 0.79, 0.84, 0.97, 1.13, 1.3, 1.33, 1.18, 
##     0.75, 0.79, 0.71, 0.95, 0.98, 0.97, 0.48, 0.54, 0.52, 0.89, 
##     1, 0.43, -0.2, -0.13, 0.62, 0.66, 0.61, 0.56, 0.52, 0.49, 
##     0.39, 0.51, 1.02, 0.43, 0.03, 0.28, 0.57, 0.52, 0.38, 0.48, 
##     0.72, 0.74, 0.52, 0.49, 0.67, 0.85, 1.54, 1.07, 0.66, 0.56, 
##     0.75, 1.05, 0.92, 0.87, 0.87, 0.92, 0.84, 0.11, 0.31, 0.3, 
##     0.26, 0.82, 0.94, 1.1, 1.26, 0.82, 1.07, 1.13, 1.21, 1.41, 
##     1.48, 1.12, 0.69, 0.2, 0.79, 0.61, 0.2, -0.02, 0.02, 0.36, 
##     0.62, 0.72, 0.74, 0.8, 1.74, 0.08, -1.67, -0.95, -0.3, 1.38, 
##     0.71, 0.38, 0.82, 0.84, 0.82, 0.79, 0.79, 0.59, 0.59, 0.66, 
##     0.59, 0.77, 0.84, 0.89, 0.71, -0.16, -0.33, 0.23, -0.11, 
##     1.18, 1.15, 0.34, 0.72, 0.95, 0.98, 0, -0.69, 0.34, 0.31, 
##     0.03, -0.13, 0.16, -0.28, -0.57, -0.74, -0.08, 0.61, 0.51, 
##     -0.08, -0.33, -0.51, -0.72, -0.41, -0.26, 0.16, 0.25, -0.16, 
##     -0.15, -0.05, 0.03, 0.46, 0.49, 0.46, -0.05, 0.3, 0.79, 1.57, 
##     0.15, -0.11, -1.15, -0.48, 0.02, 1.3, 1.26, 0.85, 0.23, -0.75, 
##     -0.3, -0.21, -0.15, 0.3, 0.38, 0.43, 0.38, 0.05, 0.11, 0.43, 
##     0.54, 0.87, 0.98, 1.05, 0.1, 0.56, 0.79, 0.46, 0.3, -0.46, 
##     -0.48, -0.39, -0.28, 0.2, 0.08, 0.11, -0.21, -0.51, -1.02, 
##     -1.26, -1.07, 0.89, 1.15, 0.8, -0.8, -0.8, -0.72, -0.39, 
##     0.51, 0.23, -0.15, -0.18, -0.3, -0.51, -0.74, -0.94, -1, 
##     -0.79, -0.44, 0.16, 1.76, 1.92, 1.8, 1.48, 0.57, -0.36, -0.77, 
##     -0.57, -0.11, -1.31, -1.13, -0.61, -0.1, -0.08, -0.23, -0.1, 
##     0.31, 0.71, 0.44, 0.61, 0.39, 0.52, 0.13, 0.21, 0.25, 0.43, 
##     0.56, 0.39, 0.05, 0.07, 0.03, -0.2, -0.41, -0.52, -0.36, 
##     -0.07, 0.03, 0.11, 0.15, 0.11, 0.03, 0.1, 0.15, 0.08, -0.03, 
##     -0.21, -0.18, -0.36, -0.18, 0.64, 0.44, 0.43, 0.33, -0.05, 
##     0.11, 0.34, 0.8, 0.97, 0.39, 0.07, -0.25, -0.61, -0.74, -0.59, 
##     -0.89, -0.72, -1.08, -1.25, 0.46, 0.94, 0.48, 0.39, 0.46, 
##     0.64, 0.82, -0.13, 0.94, 1.02, 1.1, 1.1, 1.41, 1.12, 0.85, 
##     0.62, 0.66, 0.82, 1.05, 1.21, 1.15, 0.13, 0.51, 0.74, 0.95, 
##     0.38, 0.49, 0.56, 0.67, 1.08, 1.3, 1, 0.71, 0.31, 0.13, 0.31, 
##     0.94, 0.21, 0.02, -0.64, -0.98, -1.44, -1.18, -1.18, -1.15, 
##     -0.95, -0.95, -0.98, -0.43, -0.79, 0.16, 0.49, 1.13, 0.85, 
##     0.61, 0.64, -0.74, -0.8, -0.92, -0.72, -0.23, -0.52, -0.52, 
##     0.3, 0.41, 0.57, 0.57, 0.57, 0.57, 0.59, 0.26, 0.08, 0.77, 
##     1.57, 1.26, 0.05, 0.07, -0.1, -0.08, -0.02, -0.07, 0.05, 
##     0, -0.07, 0, 0.07, 0.1, 0.03, -0.07, 0.15, -0.31, 0.07, 0.13, 
##     0.02, -0.08, -0.08, 0.05, 0.23, 0.25, 0.18, 0.08, -0.28, 
##     -0.21, 0.05, -0.08, -0.02, -0.26, 0.11, 0.26, 0.28, 0.3, 
##     0.2, -0.28, -0.2, -0.21, -0.23, -0.23, -0.23, -0.23, -0.2, 
##     0.07, 0.25, 0.56, 0.51, 0.25, 0.21, 0.2, 0, -0.11, -0.1, 
##     -0.57, -0.02, 0.26, 0.08, 0.02, 0.15, -0.57, 0.26, 0.69, 
##     -0.11, -0.28, -0.36, -0.33, -0.08, 0.38, 0.46, 0.44, 0.23, 
##     0, 0.08, 0.2, 0.11, 0.08, -0.08, -0.23, -0.48, -0.49, -0.43, 
##     -0.16, 0.11, 1.02, 1.03, 1.02, 0.05, -0.02, -0.08, -0.39, 
##     -0.57, -0.61, 0.33, -0.21, -0.25, -0.23, 0.03, -0.02, 0.15, 
##     1.13, 0.92, 0.33, 0.34, 0.28, 0.21, 0.11, 0.07, -0.08, -0.08, 
##     0.2, 0.43, 0.57, 0.54, 0.33, 0.07, 0.57, 0.02, -0.2, -0.61, 
##     -0.48, -0.23, -0.07, -0.18, 0.28, 0.44, -0.1, -0.26, -0.18, 
##     -0.07, -0.61, -0.46, 0.15, 0.82, 0.21, -0.15, -0.48, 0.56, 
##     0.33, 0.54, 0.52, 0.18, 0.15, 0.21, 0.07, 0.1, -0.38, -0.3, 
##     -0.21, 0.02, 0, -0.69, -0.69, -0.74, -0.79, -0.75, -0.75, 
##     -0.59, -1.07, -0.79, 0.95, -0.46, -0.25, 0.36, 0.46, 0.36, 
##     0.43, 0.38, 0.61, 0.52, 0.46, 0.38, 0.52, 0.49, 0.56, 0.38, 
##     0.48, 0.71, 0.67, 0.62, -0.39, -0.36, 0.52, 0.48, 0.39, 0.31, 
##     0.25, 0.23, 0.1, -0.03, -0.02, 0.07, 0.11, 0.15, 0.28, 0.26, 
##     0.56, 0.97, 1.1, 0.8, 0.77, 1.56, 1.49, 1.35, 1.18, 0.69, 
##     0.79, 0.28, 0.25, 0.21, 0.49, 0.59), accel_arm_x = c(-289, 
##     -289, -289, -288, -290, -288, -287, -289, -288, -289, -289, 
##     -288, -290, -289, -290, -289, -289, -289, -290, -291, -290, 
##     -290, -289, -289, -288, -287, -290, -289, -290, -289, -287, 
##     -285, -287, -290, -289, -290, -290, -289, -289, -289, -288, 
##     -289, -289, -290, -289, -289, -290, -288, -288, -289, -288, 
##     -288, -290, -289, -291, -290, -289, -290, -289, -289, -288, 
##     -289, -290, -288, -288, -286, -288, -289, -289, -290, -291, 
##     -288, -287, -288, -288, -288, -288, -287, -288, -288, -289, 
##     -289, -288, -287, -287, -287, -287, -288, -288, -288, -287, 
##     -286, -287, -289, -290, -289, -286, -289, -286, -288, -286, 
##     -215, -217, -217, -217, -216, -215, -216, -217, -215, -217, 
##     -218, -216, -215, -215, -217, -218, -216, -215, -217, -215, 
##     -217, -212, -214, -219, -217, -215, -214, -3, -3, -5, -5, 
##     -2, -2, -3, -5, -5, -5, -4, -8, 5, 2, 2, -2, -3, 0, -1, 1, 
##     -1, -1, 1, 4, -2, 0, -2, -2, -2, -1, -3, -2, -5, -3, -5, 
##     -3, 4, 7, 13, 12, 17, 27, 38, 60, 72, 82, 109, 144, 157, 
##     171, 189, 354, 382, 392, 428, 434, 420, 422, 424, 417, 407, 
##     361, 347, 345, 301, 275, 248, 198, 209, 98, 71, -1, 21, 6, 
##     11, 11, 14, 7, 46, 138, 140, 164, 179, 221, 266, 276, 374, 
##     401, 407, 413, 416, 419, 415, 417, 415, 405, 396, 381, 362, 
##     360, 319, 198, 218, 233, 295, 369, 392, 417, 416, 411, 412, 
##     413, 412, 324, 312, 290, 273, 231, 120, 28, 30, 20, 20, 20, 
##     11, 2, 0, 1, 4, -1, 4, 18, 35, 41, 50, 70, 148, 176, 196, 
##     239, 245, 262, 304, 339, 413, 416, 425, 424, 293, 264, 210, 
##     197, 195, 141, 120, 82, 87, 25, 24, 19, 5, 1, 9, 7, 9, 11, 
##     5, 29, 50, 89, 121, 132, 172, 168, 174, 105, 118, 85, 74, 
##     35, 27, 15, 15, 16, 19, 17, 17, 9, 31, 40, 83, 94, 138, 148, 
##     219, 286, 336, 403, 402, 399, 408, 402, 400, 376, 345, 340, 
##     326, 313, 289, 170, 154, 111, 97, 86, 63, 12, 9, 5, -5, -10, 
##     20, 10, 12, 17, 27, 27, 32, 47, 60, 170, 274, 365, 393, 409, 
##     401, 392, 368, 366, 12, 13, 14, 43, 64, 138, 152, 245, 292, 
##     304, 330, 357, 378, 388, 406, 404, 408, 397, 394, 11, 6, 
##     22, 15, 22, 31, 73, 342, 380, 386, 382, 348, 347, 175, 216, 
##     223, 279, 348, 400, 403, 397, 391, 387, 383, 344, 286, 245, 
##     165, 150, 137, 139, 45, -124, -121, -120, -111, -134, -137, 
##     -158, -160, -168, -173, -183, -202, -208, -214, -216, -214, 
##     -220, -220, -237, -239, -242, -242, -234, -227, -229, -234, 
##     -234, -232, -230, -224, -226, -226, -220, -218, -215, -211, 
##     -211, -209, -207, -206, -205, -210, -211, -215, -218, -220, 
##     -220, -226, -227, -229, -236, -235, -234, -234, -238, -244, 
##     -263, -291, -272, -266, -268, -278, -273, -271, -272, -272, 
##     -273, -274, -270, -271, -270, -271, -272, -278, -268, -269, 
##     -272, -274, -278, -276, -273, -272, -273, -276, -276, -277, 
##     -276, -279, -278, -278, -276, -278, -278, -277, -277, -276, 
##     -276, -283, -285, -276, -274, -278, -277, -278, -282, -276, 
##     -277, -279, -279, -279, -280, -277, -278, -278, -280, -279, 
##     -280, -280, -280, -279, -278, -283, -283, -279, -277, -278, 
##     -275, -280, -276, -276, -275, -273, -274, -270, -293, -291, 
##     -290, -253, -268, -228, -204, -128, -111, -37, -7, 63, 93, 
##     -270, -266, -269, -266, -268, -270, -269, -271, -268, -267, 
##     -266, -265, -265, -255, -258, -265, -262, -244, -246, -246, 
##     -244, -239, -235, -236, -161, -158, -157, -156, -151, -148, 
##     -147, -139, -135, -129, -236, -235, -229, -234, -233, -232, 
##     -234, -233, -232, -234, -233, -233, -233, -234, -236, -232, 
##     -236, -240, -237, -235, -233, -237, -237, -236, -236, -236, 
##     -237, -237, -236, -241, -237, -236, -237, -238, -235, -232, 
##     -242, -241, -241, -239, -239, -240, -238, -239, -238, -239, 
##     -237, -243, -230, -251, -247, -242, -240, -233, -232, -244, 
##     -240, -239, -241, -239, -240, -236, -238, -236, -250, -239, 
##     -240, -242, -238, -238, -244, -242, -242, -241, -240, -235, 
##     -235, -238, -239, -234, -236, -234, -228, -228, -227, -228, 
##     -219, -211, -204, -274, -275, -274, -277, -275, -277, -277, 
##     -279, -276, -277, -280, -278, -277, -279, -281, -286, -287, 
##     -281, -285, -285, -287, -283, -278, -275, -271, -273, -266, 
##     -263, -276, -280, -277, -281, -282, -280, -280, -40, -22, 
##     33, 50, 57, 98, 107, 104, 111, 130, 138, 146, 148, 147, 152, 
##     161, 160, 140, 130, 109, 101, 91, 28, -16, -65, -53, -115, 
##     -113, -133, -141, -133, -188, -199, -199, -212, -254, -253, 
##     -238, -250, -258, -266, -262, -270, -265, -249, -245, 157, 
##     158, 152, 134, 126, 119, 112, 98, 74, 77, 45, -9, -42, -37, 
##     -118, -119, -170, -181, -201, -214, -244, -260, -262, -266, 
##     -251, -259, -171, -156, -136, -103, -67, 14, 20, 38, 88, 
##     106, 160, 163, 164, 163, 170, 167, 164, 165, 159, 160, 159, 
##     136, 119, 108, 88, 80, 39, 7, -50, -83, -86, -141, -162, 
##     -154, -149, -163, -180, -225, -253, -244, -253, -256, -258, 
##     -267, -269, -270, -267, -266, -270, -273, -265, -232, -235, 
##     -226, -208, -152, 87, 96, 112, 127, 136, 150, 162, 159, 135, 
##     134, 125, 110, 59, 59, 45, 29, 9, -9, -143, -130, -175, -261, 
##     -259, -250, -269, -263, -273, -270, -266, -268, -244, -195, 
##     -168, -71, 35, 49, -56, -109, -94, -147, -147, -219, -218, 
##     -257, -266, -263, -265, -262, -272, -273, -273, -261, -246, 
##     -229, -213, -211, -205, -196, -175, -127, -43, -32, 51, 84, 
##     105, 124, 142, 154, 154, 159, 157, 156, 158, 162, 165, 162, 
##     163, 149, 138, 81, 81, 57, 42, 20, 12, -32, -80, -85, -88, 
##     -126, -129, -131, -140, -147, -147, 139, 160, 157, 158, 165, 
##     159, 167, 162, 166, 164, 160, 160, 157, 155, 154, 149, 131, 
##     121, 119, 105, 94, 78, 75, -180, -230, -200, -212, -210, 
##     -224, -218, -210, -207, -215, -221, -219, -215, -215, -217, 
##     -217, -217, -216, -216, -220, -218, -217, -219, -216, -216, 
##     -217, -216, -217, -217, -218, -216, -217, -218, -220, -220, 
##     -219, -220, -220, -220, -219, -221, -220, -221, -220, -220, 
##     -218, -221, -218, -220, -220, -221, -219, -220, -219, -219, 
##     -219, -218, -220, -219, -217, -219, -218, -220, -219, -219, 
##     -219, -217, -217, -219, -220, -219, -221, -218, -219, -218, 
##     -217, -218, -216, -218, -218, -220, -219, -219, -219, -219, 
##     -220, -220, -218, -220, -220, -220, -220, -219, -219, -222, 
##     -225, -224, -224, -222, -223, -225, -224, -225, -225, -227, 
##     -225, -223, -227, -224, -226, -227, -226, -227, -225, -226, 
##     -225, -224, -218, -206, -180, -170, -137, -96, -65, -53, 
##     -44, -19, 40, 70, 85, 104, 116, 137, 177, -204, -215, -216, 
##     -217, -220, -224, -227, -222, -220, -223, -224, -215, -214, 
##     -187, -186, -156, -37, 24, 62, 69, 117, 132, 164, 159, 156, 
##     154, 161, 173, 166, 166, 159, 148, 140, 141, 119, -226, -231, 
##     -234, -227, -224, -232, -230, -222, -198, -197, -179, -134, 
##     -101, -81, -67, 68, 112, 157, 161, 164, 162, 166, 195, 210, 
##     165, 150, 101, 79, 67, 43, -1, -22, 163, 161, 160, 162, 155, 
##     151, 137, 84, 74, -21, -73, -157, -186, -208, -215, -228, 
##     -233, -235, -235, -231, -219, -208, -182, -164, -34, -24, 
##     7, 26, 45, 91, 92, 115, 148, 158, 155, 161, 150, 122, 114, 
##     102, 67, 52, 40, 17, -1, -85, -98, -140, -200, -211, -221, 
##     -223, -222, -222, -215, -214, -214, -229, -228, -234, -231, 
##     -229, -223, -227, -229, -220, -190, -185, -68, -42, 35, 62, 
##     107, 111, 139, 153, 158, 164, 159, 161, 162, 165, -207, -219, 
##     -218, -219, -232, -235, -238, -238, -237, -236, -225, -218, 
##     -216, -207, -194, -196, -188, -138, -106, 13, 33, 97, 142, 
##     151, 152, 134, 121, 34, 17, -34, -46, -95, -110, -145, -149, 
##     -162, -177, -203, -226, -225, -229, -238, -236, -231, -229, 
##     -230, -228, -220, -205, -200, -179, -79, -52, 45, 111, 128, 
##     134, 125, 153, 147, 142, 116, 102, 56, 30, 17, -40, -135, 
##     -236, -237, -237, -236, -234, -194, -177, -146, -131, -88, 
##     -63, -20, 60, 105, 110, 132, 160, 156, 128, 115, 116, 131, 
##     -280, -280, -275, -280, -280, -278, -277, -278, -286, -283, 
##     -279, -282, -278, -279, -280, -280, -281, -301, -298, -286, 
##     -246, -276, -281, -288, -291, -287, -293, -285, -265, -265, 
##     -291, -283, -275, -278, -278, -280, -282, -277, -278, -287, 
##     -284, -279, -283, -280, -276, -279, -281, -280, -278, -279, 
##     -282, -279, -281, -282, -284, -281, -279, -280, -279, -280, 
##     -278, -280, -281, -281, -281, -279, -280, -280, -283, -281, 
##     -278, -279, -281, -281, -277, -277, -281, -274, -276, -281, 
##     -277, -281, -282, -283, -283, -284, -283, -278, -279, -281, 
##     -281, -282, -280, -277, -279, -280, -281, -283, -279, -277, 
##     -277, -280, -284, -280, -281, -281, -280, -281, -279, -284, 
##     -283, -281, -283, -279, -280, -280, -282, -282, -279, -283, 
##     -282, -280, -282, -283, -282, -282, -280, -281, -283, -280, 
##     -281, -282, -281, -283, -278, -279, -283, -281, -279, -280, 
##     -280, -279, -279, -281, -280, -280, -281, -283, -281, -280, 
##     -281, -281, -282, -280, -283, -282, -282, -282, -282, -279, 
##     -280, -284, -277, -274, -279, -280, -279, -281, -279, -280, 
##     -278, -279, -267, -274, -279, -279, -250, -309, -291, -290, 
##     -295, -278, -279, -283, -280, -276, -281, -265, -264, -285, 
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##     -107, -24, -31, -48, -36, -38, -40, -19, 1, 8, 1, -37, -51, 
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##     97, 87, 51, 286, 300, 325, 380, 391, 391, 387, 391, 382, 
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##     112, 54, 32, 31, 39, 37, 21, 7, 20, 13, 44, 182, 280, 335, 
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##     338, 343, 340, 341, 351, 325, 31, 55, 149, 177, 248, 255, 
##     341, 353, 352, 347, 372, 349, 331, 307, 301, 252, 59, 60, 
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##     -2, 3, 3, 21, 3, 46, 105, 206, 215, 233, 323, 313, 323, 319, 
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##     82, 69, 59, -63, -104, -223, -229, -226, -226, -224, -16, 
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##     109, 111, 105, 62, 4, -50, -114, -134, -137, -120, 26, 38, 
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##     -232, -227, -216, -159, -121, 10, 25, 73, 84, 90, 97, 101, 
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##     -204, -219, -233, -275, -277, -280, -271, -271, -277, -280, 
##     -267, -107, -66, 100, 119, 132, 114, 113, 117, 122, 119, 
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##     -7, 63, 122, 138, 132, 118, 108, 115, 149, 163, 134, 114, 
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##     -220, -106, -64, -49, -36, 59, 64, 57, -73, -87, -85, -242, 
##     -246, -244, -239, -230, -206, -169, -13, -5, 38, 21, 6, 5, 
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##     -216, -254, -265, -253, -250, -249, -255, -237, -244, -262, 
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##     -283, -278, -262, -253, -250, -249, -257, -125, -100, -35, 
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##     -266, -276, -284, -274, -275, -278, -262, -257, -226, -158, 
##     -137, -15, 28, 87, 75, 72, 75, 77, 76, 80, 68, 36, 22, -10, 
##     -5, -50, -101, -109, -159, -153, -152, -197, -206, -206, 
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##     -183, -201, -238, -259, -305, -300, -299, -292, -290, -299, 
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##     -215, -189, -59, -44, 21, 56, 65, 66, 107, 109, 120, 109, 
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##     -303, -308, -280, -261, -270, -272, -230, -143, -2, 101, 
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##     -84, -220, -237, -219, -267, -271, -279, -290, -286, -281, 
##     -276, -237, -229, -188, -23, 7, 15, 23, 37, 38, 56, 65, 92, 
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##     -224, -227, -261, -287, -293, -311, -304, -307, -314, -309, 
##     -294, -293, -292, -261, -257, 97, 104, 108, 109, 110, 111, 
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##     -290, -285, -286, -275, -260, -220, -188, -185, -145, -133, 
##     -115, -54, -63, -59, -20, 14, 28, 67, 82, 88, 90, 81, 57, 
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##     -284, -279, -277, -275, -268, -256, -245, -165, -117, -59, 
##     -47, -21, -12, -6, 11, 63, 63, 64, 85, 94, 93, 75, 73, 78, 
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##     -228, -227, -273, -296, -277, -282, -291, -285, -249, -207, 
##     -170, -39, -30, -23, -78, -84, -106, -114, -219, -229, -267, 
##     -263, -301, -293, -301, 103, 102, 58, 55, 31, 13, -33, -50, 
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##     -290, -284, -279, -283, -286, -266, -227, -162, -114, -74, 
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##     -141, -30, -5, 32, 34, 42, 97, 4, 26, 52, 66, 80, 86, 78, 
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##     -94, -195, -198, -211, -299, -293, -298, -175, -152, -94, 
##     -22, 23, 40, 46, 87, 95, 125, 133, 147, 121, 112, 153, 138, 
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##     -261, -247, -230, -239, -231, -180, 56, 73, 109, 133, 120, 
##     -280, -279, -274, -264, -264, -266, -267, -258, -263, -269, 
##     -256, -260, -259, -264, -257, -247, -248, -264, -259, -263, 
##     -263, -261, -257, -264, -253, -252, -262, -255, -254, -59, 
##     -111, -108, -149, -160, -151, -156, -195, -201, -232, -239, 
##     -247, -238, -227, 69, 102, 18, -54, -46, -77, -99, -161, 
##     -202, -200, -211, -220, 37, -39, -50, -66, -88, -180, -232, 
##     -233, -230, -218, -222, -225, -231, -240, -251, -252, -243, 
##     -238, -237, -240, -12, 2, 12, 3, 54, 68, 118, 175, 227, 341, 
##     343, 355, 359, 193, 207, 217, 264, 295, 316, 344, 354, 357, 
##     342, 306, 208, 163, 69, 62, 41, 55, 152, 182, 198, 220, 272, 
##     310, 319, 335, 331, 300, 272, 182, 224, 257, 323, 333, 324, 
##     331, 325, 323, 311, 267, 231, 159, 154, 132, -17, -17, -9, 
##     4, 5, -2, -2, 52, 64, 115, 118, 168, -269, -267, -234, -203, 
##     -193, -182, -161, -129, -116, -103, -81, -58, -27, -15, 11, 
##     25, 71, 71, 74, 81, 82, 72, -99, -28, 71, 73, 78, 77, 74, 
##     53, 42, 26, 88, -104, -103, -62, -50, -26, 4, 93, 102, 113, 
##     121, 105, 111, 147, 142, 146, 141, 135, 67, 37, -83, -132, 
##     -126, -117, -107, -122, -109, -28, 18, 37, 63, 112, 117, 
##     123, 115, 113, 112, 128, 137, 135, 129, 94, 102, 117, 125, 
##     124, 113, 120, 132, 84, 53, 37, 5, -26, -37, -65, -64, -48, 
##     -44, -30, -27, -19, -13, 1, 26, 42, 72, 86, 90, 100, 112, 
##     120, 129, 125, 127, 123, 116, 95, 73, 24, 21, -17, -75, -74, 
##     -82, 361, 353, 335, 334, 329, 312, 242, 224, 231, 214, 187, 
##     124, 77, 75, 84, 37, -4, -1, -1, -5, -2, 11, -10, 56, 71, 
##     134, 148, 180, 199, 261, 284, 294, 288, 307, 320, 317, 344, 
##     346, 245, 273, 266, 296, 293, 273, 270, 258, 250, 258, 268, 
##     275, 278, 280, 306, 316, 323, 333, 342, 348, 389, 395, 367, 
##     349, 338, 293, 285, 257, 195, 230, 213, 211, 212, 213, 324, 
##     338, 345, 349, 351, 391, 418, 425, 421, 412, 404, 400, 397, 
##     235, 279, 283, 293, 299, 317, 351, 374, 388, 404, 409, 417, 
##     417, 423, 410, 399, 410, 353, 340, 339, 299, 258, 198, 184, 
##     182, 177, 176, 190, 193, 249, 266, 279, 388, 392, 400, 410, 
##     409, 410, 420, 419, 423, 409, 385, 353, 342, 397, 413, 425, 
##     408, 421, 413, 396, 391, 340, 324, 333, 320, 275, 255, 204, 
##     221, 223, 225, 214, 214, 216, 215, 288, 296, 303, 308, 325, 
##     324, 329, 347, 391, 407, 412, 418, 430, 437, 435, 240, 240, 
##     245, 253, 254, 258, 387, 417, 417, 425, 420, 431, 435, 394, 
##     379, 372, 298, 267, 273, 257, 248, 225, 215, 209, 207, 204, 
##     208, 218, 217, 225, 230, 280, 331, 341, 350, 360, 362, 422, 
##     419, 417, 337, 344, 346, 308, 268, 225, 202, 202, 216, 225, 
##     237, 258, 273, 282, 383, 389, 403, 414, 412, 411, 409, 393, 
##     331, 261, 70, 74, 72, 57, 12, -39, -39, -81, -80, -144, -142, 
##     -180, -42, 2, 6, 36, 49, 65, 93, 100, 91, 82, 42, 13, 24, 
##     13, 12, -46, -42, -110, -172, -247, -253, -247, -256, -259, 
##     -257, -249, -265, -282, -185, -150, -59, -15, 30, 54, 71, 
##     82, 80, 88, 97, 96, 127, 145, 150, 160, 155, 158, 157, 140, 
##     130, 127, 123, 70, -1, 0, -10, -28, -39, -64, -70, -95, -80, 
##     -80, -81, -70, -61, -53, -28, -21, -9, 13, 34, 84, 100, 118, 
##     132, 153, 142, 149, 151, 157, 158, 149, 143, 140, 55, 38, 
##     16, 15, 6, -15, -65, -61, -57, -58, -55, -53, -49, -45, 3, 
##     13, 45, 67, 136, 137, 147, 153, 154, 157, 153, 150, 155, 
##     151, 153, 136, 134, 125, 43, 25, -9, -34, -89, -96, -94, 
##     -88, -84, -80, -39, -9, 21, 40, 47, 74, 132, 88, 82, 59, 
##     46, -13, -21, -24, -48, -73, -78, -79, -79, -86, -57, -30, 
##     -28, 15, 33, 110, 112, 118, 147, 145, 147, 146, 156, 159, 
##     158, 155, 157, 151, 157, 155, 132, 112, 88, 79, 54, 30, 27, 
##     -44, -180, -105, 11, 70, 132, 162, 164, 134, 109, 9, -114, 
##     -104, -175, -203, -208, -227, -243, -243, -225, -239, -239, 
##     -236, -231, -231, -213, -175, 0, 46, 89, 147, 153, 159, 170, 
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##     -253, -237, -227, -236, -244, -243, -243, -246, -244, -236, 
##     -188, -83, -36, -193, -194, -204, -249, -243, -236, -236, 
##     -238, -236, -233, -237, -228, -204, -192, -148, -131, -90, 
##     -77, -63, -46, -38, -12, 69, 136, 131, 134, 133, 102, 95, 
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##     -258, -278, -283, -287, -293, -284, -269, -211, -134, -90, 
##     -56, -34, -21, -2, 113, 148, 163, 137, 128, 92, 75, -33, 
##     -48, -110, -216, -235, -336, -275, -239, -245, -264, -280, 
##     -294, -252, -233, -196, -134, -101, -50, -30, 77, 103, 100, 
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##     -236, -229, -260, -273, -268, -196, -99, -71, -29, 35, 105, 
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##     -332, -323, -281, -250, -237, -243, -298, -281, -237, -193, 
##     -167, -93, -61, 0, 35, 45, 78, 94, 107, 119, 121, 106, 92, 
##     99, 101, 103, 95, 83, 41, 21, -4, -21, -146, -163, -185, 
##     -232, -280, -244, -236, -237, -255, -254, -251, -255, -251, 
##     -253, -270, -255, -245, -234, -186, -157, -79, -4, 5, 58, 
##     59, 80, 113, 110, 106, 103, 112, 116, 137, 131, 97, 53, -7, 
##     -27, -81, -95, -188, -228, -312, -268, -245, -253, -255, 
##     123, 118, 112, 23, -75, -105, -122, -138, -174, -224, -257, 
##     -154, -127, -83, 84, 40, -28, -48, -223, -212, -215, -249, 
##     -257, -269, -260, -264, -268, -266, -263, -236, -213, -198, 
##     -74, -50, -39, 3, 18, 56, 67, 75, 98, 100, 103, 103, 90, 
##     86, 64, 4, -19, -157, -174, -180, -211, -233, -255, -262, 
##     -269, -281, -251, -271, -267, -254, -243, -239, -211, -202, 
##     -150, -94, 92, 109, 91, 91, 80, 81, 62, 11, -98, -131, -141, 
##     -161, -150, -171, -194, -205, -252, -256, -241, -242, -242, 
##     -167, -52, -33, -29, 10, 38, 44, 66, 75, 92, 92, 70, 62, 
##     42, 32, -11, -60, -99, -115, -163, -230, -268, -269, -276, 
##     -258, -261, -264, -264, -245, -172, -156, -131, -94, -21, 
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##     -259, -264, -269, -272, -271, -267, -268, -271, -270, -269, 
##     -265, -271, -270, -267, -266, -264, -260, -254, -254, -240, 
##     -235, -223, -197, -147, -123, -89, -16, -6, 73, 63, 44, 2, 
##     -2, -7, -6, -11, -17, -8, 2, 3, -5, 28, 86, 102, 112, 101, 
##     106, 125, 136, 133, 118, 112, 107, 72, 56, -18, -107, -101, 
##     -106, -35, 11, 78, 95, 76, 54, 42, -10, -26, -251, -297, 
##     -233, -234, -244, -259, -260, -252, -245, -249, -249, -249, 
##     -251, -250, -250, -249, -248, -250, -250, -251, -252, -248, 
##     -253, -254, -249, -250, -251, -249, -257, -254, -251, -254, 
##     -256, -255, -256, -255, -256, -257, -258, -257, -253, -256, 
##     -235, -230, -222, -149, -138, 44, 39, 37, 36, 33, 34, 24, 
##     0, 3, 15, 26, 32, 35, -3, -23, -10, -3, 46, 35, 79, 62, 95, 
##     133, 150, 156, 134, 71, 94, 67, 40, 38, 16, -20, -7, 9, 6, 
##     -7, -5, 7, 58, 69, 69, 154, 171, 159, 163, 134, 120, 35, 
##     81, 4, 9, 0, 11, 16, 31, 42, 47, 54, 61, 68, 138, 159, 151, 
##     27, -27, -112, -38, -38, -26, -43, -27, 30, 47, 77, 134, 
##     154, 152, 147, 135, 143, 87, 58, 24, 10, -16, -8, -15, -15, 
##     -11, -11, 27, 38, 46, 70, 7, 22, 28, 46, 62, 65, 59, 106, 
##     133, 141, 142, 145, 142, 142, 125, 137, 105, 111, 86, 18, 
##     41, -27, -38, -30, -5, 24, 46, 98, 112, 133, 134, 130, 134, 
##     142, 120, 127, 135, 126, -27, -25, -38, -39, -43, -52, -11, 
##     11, 11, 24, 44, 132, 144, 159, 168, 148, 134, 92, 111, 120, 
##     102, 41, 38, 19, 6, 13, 10, 5, 8, 24, 42, 53, 68, 75, 158, 
##     164, 167, 162, 146, 157, 64, 83, 122, 140, 146, 146, 153, 
##     150, 112, 8, 14, 21, 4, -12, -8, -268, -260, -261, -264, 
##     -268, -267, -273, -270, -249, -242, -193, -244, -257, -277, 
##     -288, -291, -289, -293, -293, -306, -260, -266, -261, -250, 
##     103, 112, 110, 107, 110, 110, 105, 84, 81, 74, 63, 39, 26, 
##     16, -78, -90, -212, -245, -245, -261, -269, -273, -287, -290, 
##     -289, -171, -142, -110, -95, -84, -74, -60, -28, -5, -5, 
##     0, 6, 1, -24, -12, -11, -5, -7, 21, 32, 42, 77, 108, 112, 
##     133, 141, 137, -16, -1, 7, 10, 15, 26, 49, 63, 88, 100, 120, 
##     125, 120, 151, 143, 156, 149, 146, 143, 141, 138, 87, 91, 
##     70, 20, 9, -21, -17, -30, 106, 106, 131, 134, 155, 153, 152, 
##     151, 149, 144, 142, 127, 102, 88, 75, 72, 53, -20, -70, -92, 
##     -85, -94, -90, -95, -86, -24, -9, 3, 18, 29, 35, 51, 107, 
##     124, 150, 149, 140, 149, 153, 116, 109, 7, -24, -60, -72, 
##     -96, -116, -119, -122, -90, -70, -80, -68, -64, -52, 2, 65, 
##     87, 84, 115, 118, 146, 150, 156, 152, 136, 114, 101, 99, 
##     -17, -44, -56, -66, -67, -68, -60, -57, -44, -44, -34, -19, 
##     -18, -19, 31, -53, -81, 30, 50, 85, 90, 120, 134, 132, 134, 
##     127, 149, 149, 151, 153, 122, 124, 117, 110, -67, -74, -92, 
##     -86, -67, -62, -37, -9, 26, 43, 78, 127, 119, 104, 62, 73, 
##     64, 53, 2, -21, -13, -17, -19, -20, -4, -4, -7, -6, -8, -6, 
##     -12, -21, -24, -35, -33, -28, -42, -49, -54, -62, -52, -44, 
##     -292, -290, -280, -274, -289, -293, -294, -291, -268, -264, 
##     -235, -172, -210, -195, -132, 7, 25, 33, 51, 102, 95, 76, 
##     71, 69, 53, 37, 36, 10, -24, -30, -83, -110, -171, -167, 
##     -164, -191, -203, -167, -142, -91, -48, -27, 2, 10, 19, 71, 
##     78, 82, 92, 121, 113, 111, 20, 23, 5, -77, -130, -196, -226, 
##     -268, -260, -269, -277, 91, 99, 106, 109, 100, 97, 94, 97, 
##     92, 58, 55, 46, 33, 17, 7, -13, -113, -123, -188, -198, -215, 
##     -243, -277, -282, -287, -283, -284, -287, -285, -283, -264, 
##     -247, -240, -207, -160, -94, -69, -53, -48, -37, -20, -5, 
##     52, 49, 66, 93, 109, 110, 110, 108, 106, 105, 104, 86, 71, 
##     45, -3, -19, -35, -49, -60, -80, -87, -90, -117, -157, -161, 
##     -227, -230, -83, -73, -64, -39, -16, -4, 37, 77, 82, 80, 
##     78, 83, 87, 85, 87, 83, 91, 72, 44, 45, -27, -45, -290, -269, 
##     -246, -210, -181, -173, -164, -95, -70, -56, -47, -2, 30, 
##     37, 74, 80, 79, 90, 88, 86, 93, 130, 146, 162, 157, 160, 
##     150, 149, 165, 148, 144, 140, 125, 71, 77, 108, 119, 128, 
##     132, 131, 140, 163, 157, 163, 149, 152, 150, 155, 158, 152, 
##     147, 136, 115, 99, 70, 65, -23, -39, -59, -55, -35, 14, -192, 
##     -233, -235, -235, -259, -291, -290, -291, -288, -293, -290, 
##     -287, -293, -295, -236, -220, -211, -194, -158, -69, -79, 
##     -106, -103, -160, -161, -200, -242, -253, -290, -225, -256, 
##     -264, -269, -267, -277, -275, -260, -250, -235, -208, -194, 
##     -184, -131, -109, -93, -279, -281, -281, -280, -279, -276, 
##     -269, -260, -244, -226, -205, -184, -85, -34, 7, 16, 134, 
##     136, 108, 92, 18, -14, -22, -16, 11, 6, 72, 119, 161, 156, 
##     162, 152, 145, 144, 125, 125, 79, 32, 52, 4, -21, -11, 7, 
##     8, 8, 11, 8, 10, 8, 6, -116, -75, -70, -56, -27, 23, 24, 
##     -99, 14, 49, 69, 79, 48, 41, 40, 41, 42, 40, -246, -215, 
##     -203, -188, 43, 57, 113, 112, 116, 96, 46, 53, -99, -152, 
##     -167, -194, -294, -312, -321, -295, -266, -233, -219, -223, 
##     -232, -239, -262, -254, -90, 7, 69, 77, 124, 125, 131, 145, 
##     153, 147, 138, 131, 88, 19, -21, -49, -66, -79, -176, -260, 
##     -257, -250, -230, -236, -240, -237, -240, -242, -240, -224, 
##     -217, -208, -181, -114, 45, 85, 113, 159, 164, 146, 114, 
##     37, -38, -28, -100, -119, -147, -155, 418, 418, 421, 420, 
##     402, 380, 372, 320, 283, 270, 270, 254, 259, 250, 315, 224, 
##     192, 205, 213, 207, 227, 252, 274, 289, 307, 329, 338, 374, 
##     296, 293, 286, 240, 261, 244, 235, 368, 397, 406, 410, 411, 
##     407, 425, 413, 417, 393, 374, 363, 360, 354, 246, 123, 118, 
##     95, 90, 74, 57, 55, 43, 13, -35, -41, -78, -77, -49, -65, 
##     65, 75, 1, 26, 49, 66, 77, 96, 111, 117, 123, 133, 141, 130, 
##     119, 83, 84, 158, 163, 165, 127, 52, -2, -24, -49, -189, 
##     -203, -223, -229, -235, -227, -241, -240, -246, -264, -271, 
##     -274, -283, -281, -276, -275, -277, -222, 74, 74, 74, 80, 
##     87, 68, 10, -34, -128, -147, -187, -226, -242, -308, -323, 
##     -295, -296, -298, -298, -289, -289, -264, -273, -227, -191, 
##     -118, -27, 24, 42, 68, 66, 70, 71, 71, 70, 79, 90, 93, 93, 
##     98, 77, 31, 35, -26, -50, -73, -89, -175, -188, -246, -268, 
##     -281, -278, -269, -264, -271, -259, -269, -242, -226, -230, 
##     -125, -69, -13, 0, 18, 25, 46, 35, 23, 28, 33, 37, 39, 48, 
##     50, 51, 57, 57, 39, 40, 47, 22, 5, -127, -116, -201, -234, 
##     -265, -279, -286, -286, -280, -279, -285, 26, 42, 53, 52, 
##     46, 56, -91, -89, -82, -60, -41, -16, 43, 113, 135, 139, 
##     142, 122, 116, 121, 122, 124, 69, 34, 12, -25, -60, -74, 
##     -112, -113, -84, -94, -67, -45, -34, -17, 14, 43, 57, 69, 
##     122, 128, 103, 101, 104, 131, 129, 129, 126, 109, 80, 87, 
##     65, -18, -37, -43, -81, -75, -53, -60, -67, -74, 27, 50, 
##     60, 96, 115, 118, 108, 102, 95, 128, 128, 112, 99, 48, 37, 
##     1, -18, -35, -77, -153, -128, -131, -132, -129, -120, -94, 
##     -54, -34, 42, 49, 79, 99, 114, 129, 119, 112, 115, 136, 127, 
##     127, 115, -255, -257, -255, -246, -249, -250, -247, -245, 
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##     -230, -181, -125, -109, -70, -29, 24, 26, 36, 44, 52, 49, 
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##     150, 56, 7, 7, -10, 15, 23, 29, 13, 15, 7, -10, 25, 32, 45, 
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##     51, -22, -32, -54, -66, 9, 6, 9, 6, -9, -7, -12, -42, 31, 
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##     226, 102, 71, 2, 282, 236, 212, 134, 87, 31, 33, -22, -62, 
##     -118, 13, 3, 9, 15, 401, 390, 359, 330, 281, 175, 157, 63, 
##     -24, -70, -44, -33, -43, -50, -84, -83, -58, 13, 28, 26, 
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##     6, 2, -1, 2, 2, -14, -8, 1, -4, -3, 3, 14, 11, 21, 27, 31, 
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##     -268, -285, -286, -290, -299, -307, -226, -210, -210, -200, 
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##     -192, -130, 1, 186, 164, 157, 127, 80, 86, -46, -218, -167, 
##     -27, 24, 85, 85, 100, 131, 122, 105, 78, 46, -22, -65, -145, 
##     -225, -312, -383, -341, 6, 8, 3, 2, 3, 1, 4, 4, 5, 1, 0, 
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##     -240, -265, -268, -261, -231, -237, -237, -243, 411, 404, 
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##     -22, -27, -12, -6, 19, 16, 78, 52, -66, -93, -78, -67, -32, 
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##     -237, -244, -249, -243, -247, -249, -247, -267, -261, -260, 
##     -202, -187, -149, -21, 79, 74, 78, 74, 76, 84, 67, 75, 52, 
##     70, 58), accel_arm_y = c(110, 111, 111, 110, 110, 111, 111, 
##     110, 108, 109, 109, 111, 110, 109, 108, 111, 109, 108, 110, 
##     109, 111, 111, 112, 110, 110, 109, 110, 111, 111, 109, 108, 
##     109, 110, 110, 110, 111, 111, 111, 110, 111, 111, 111, 109, 
##     111, 110, 110, 111, 109, 110, 110, 109, 109, 111, 109, 109, 
##     109, 110, 111, 109, 111, 109, 108, 110, 109, 109, 109, 110, 
##     112, 111, 110, 111, 110, 108, 110, 111, 110, 111, 110, 110, 
##     111, 111, 110, 109, 110, 111, 111, 111, 110, 110, 108, 107, 
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##     5, 7, 6, 16, 19, 33, 27, 33, 34, 38, 33, 25, 28, -1, -14, 
##     -13, -37, -64, -89, -75, -60, -45, -45, -8, 8, 6, 18, 31, 
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##     155, 154, 155, 155, 153, 153, 154, 154, 153, 153, 156, 156, 
##     155, 155, 155, 152, 153, 154, 154, 153, 154, 157, 156, 154, 
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##     183, 189, 186, 145, 115, 89, 89, 65, 60, 38, 33, 17, 19, 
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##     159, 159, 160, 175, 178, 180, 178, 168, 158, 156, 111, 77, 
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##     185, 183, 174, 174, 173, 169, 166, 162, 160, 157, 163, 162, 
##     166, 166, 164, 163, 170, 197, 198, 150, 146, 106, 94, 71, 
##     66, 58, 47, 28, 26, 29, 33, 31, 31, 178, 178, 172, 172, 164, 
##     166, 164, 164, 166, 169, 174, 180, 189, 189, 191, 207, 211, 
##     206, 193, 131, 117, 78, 63, 24, 22, 81, 89, 149, 154, 167, 
##     174, 191, 194, 210, 207, 194, 194, 184, 188, 185, 169, 157, 
##     153, 152, 154, 165, 168, 188, 203, 204, 202, 178, 165, 103, 
##     68, 61, 61, 6, 3, 62, 69, 98, 117, 156, 166, 171, 194, 197, 
##     184, 188, 163, 161, 160, 213, 218, 218, 214, 199, 191, 169, 
##     131, 108, 103, 90, 59, 50, 8, -8, 5, 3, 158, 156, 158, 157, 
##     152, 155, 160, 160, 157, 157, 157, 157, 157, 157, 157, 155, 
##     157, 170, 163, 162, 160, 147, 151, 155, 157, 163, 178, 172, 
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##     157, 156, 158, 156, 158, 155, 157, 155, 154, 155, 156, 156, 
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##     154, 155, 152, 154, 155, 153, 153, 152, 156, 155, 155, 155, 
##     154, 157, 154, 153, 155, 151, 154, 154, 154, 155, 155, 156, 
##     154, 154, 152, 153, 153, 154, 152, 154, 152, 155, 156, 154, 
##     154, 154, 156, 156, 154, 158, 157, 156, 154, 153, 155, 154, 
##     157, 155, 155, 155, 155, 154, 156, 153, 152, 155, 154, 151, 
##     151, 157, 154, 153, 151, 154, 153, 154, 158, 157, 153, 161, 
##     165, 172, 172, 171, 166, 152, 147, 136, 139, 146, 149, 163, 
##     164, 166, 165, 176, 171, 163, 162, 155, 158, 155, 154, 161, 
##     171, 158, 159, 160, 161, 161, 163, 166, 164, 160, 161, 160, 
##     163, 163, 163, 161, 111, 112, 110, 111, 112, 113, 113, 111, 
##     110, 111, 112, 110, 110, 111, 111, 111, 112, 112, 110, 110, 
##     112, 111, 112, 111, 110, 109, 111, 111, 111, 112, 112, 112, 
##     112, 110, 112, 109, 110, 111, 111, 113, 112, 111, 112, 111, 
##     111, 111, 112, 110, 112, 112, 111, 112, 112, 112, 112, 110, 
##     110, 112, 112, 110, 110, 112, 112, 111, 110, 112, 112, 112, 
##     111, 110, 113, 111, 109, 112, 113, 112, 112, 112, 110, 112, 
##     111, 110, 113, 113, 110, 110, 110, 110, 112, 112, 110, 109, 
##     109, 109, 111, 111, 112, 111, 112, 112, 111, 111, 111, 112, 
##     111, 111, 110, 112, 112, 110, 110, 112, 112, 111, 111, 112, 
##     110, 112, 111, 112, 112, 111, 112, 111, 112, 111, 111, 112, 
##     112, 112, 112, 110, 111, 109, 111, 113, 112, 108, 108, 111, 
##     110, 110, 109, 108, 108, 112, 110, 111, 109, 108, 110, 111, 
##     110, 110, 110, 110, 109, 109, 110, 109, 109, 109, 109, 112, 
##     112, 109, 106, 108, 109, 110, 110, 111, 109, 110, 107, 109, 
##     109, 110, 110, 110, 108, 115, 105, 113, 112, 113, 119, 115, 
##     117, 112, 107, 103, 105, 97, 91, 83, 73, 69, 48, 36, 31, 
##     30, 20, 17, 5, -4, -20, -16, -11, -8, -15, -11, 7, 14, 33, 
##     42, 50, 87, 88, 83, 130, 129, 135, 145, 149, 147, 133, 129, 
##     128, 126, 130, 130, 129, 143, 141, 130, 134, 111, 109, 91, 
##     92, 64, 62, 36, 17, 7, 0, -8, -32, -31, -35, -33, -29, 8, 
##     25, 35, 93, 131, 153, 168, 21, -46, -31, -22, -12, -8, 36, 
##     44, 66, 100, 116, 146, 139, 156, 156, 164, 152, 156, 152, 
##     164, 160, 158, 137, 131, 149, 156, 171, 190, 190, 107, 89, 
##     87, 88, 67, 60, 47, -22, -59, -48, -39, -8, -6, -8, -14, 
##     20, 31, 49, 63, 73, 101, 139, 148, 153, 140, 124, 119, 117, 
##     110, 162, 158, 144, 146, 169, 168, 158, 130, 123, 115, 102, 
##     79, 59, 55, -48, -41, -39, -13, -1, -5, -4, 34, 78, 111, 
##     110, 131, 153, 158, 155, 151, 168, 153, 139, 147, 152, 141, 
##     137, 127, 114, 116, 123, 132, 134, 141, 141, 111, 108, 91, 
##     61, 45, 26, 25, -15, -37, -39, -8, 1, 157, 160, 168, 164, 
##     160, 155, 155, 158, 155, 162, 152, 152, 153, 155, 153, 154, 
##     158, 162, 163, 162, 162, 160, 160, 156, 159, 161, 159, 162, 
##     162, 160, 158, 159, 157, 157, 161, 161, 155, 158, 158, 158, 
##     158, 159, 158, 157, 161, 157, 156, 160, 160, 158, 158, 158, 
##     159, 157, 158, 155, 159, 160, 164, 160, 158, 158, 155, 154, 
##     157, 159, 155, 155, 164, 158, 160, 158, 155, 157, 159, 160, 
##     160, 159, 158, 159, 157, 157, 160, 160, 161, 159, 157, 157, 
##     160, 158, 161, 161, 158, 159, 159, 158, 156, 157, 158, 158, 
##     157, 158, 158, 158, 159, 157, 159, 157, 157, 158, 158, 160, 
##     160, 159, 160, 159, 158, 156, 158, 160, 159, 159, 156, 157, 
##     158, 160, 157, 159, 158, 158, 156, 158, 158, 157, 155, 163, 
##     150, 154, 153, 157, 155, 158, 153, 156, 157, 159, 154, 156, 
##     157, 159, 163, 154, 153, 154, 155, 154, 155, 154, 158, 156, 
##     155, 156, 157, 160, 160, 160, 154, 150, 150, 150, 150, 154, 
##     152, 160, 162, 151, 153, 154, 155, 155, 156, 155, 154, 153, 
##     155, 155, 158, 159, 161, 158, 157, 155, 157, 158, 158, 156, 
##     152, 155, 157, 165, 166, 165, 158, 161, 162, 157, 160, 155, 
##     157, 162, 156, 158, 155, 154, 156, 154, 155, 156, 154, 153, 
##     152, 154, 153, 152, 155, 156, 155, 155, 153, 156, 155, 157, 
##     156, 156, 154, 154, 157, 154, 154, 153, 153, 151, 152, 156, 
##     155, 149, 156, 178, 182, 219, 233, 237, 239, 176, 180, 179, 
##     138, 149, 99, 66, 69, 47, 39, 33, 6, 15, 16, 27, 35, 82, 
##     146, 165, 174, 161, 207, 205, 204, 197, 201, 205, 205, 221, 
##     231, 235, 233, 236, 216, 211, 176, 157, 96, 85, 37, 27, 25, 
##     41, 61, 73, 91, 97, 137, 147, 169, 168, 199, 186, 244, 184, 
##     198, 205, 237, 228, 224, 231, 258, 211, 171, 154, 151, 106, 
##     18, 50, 47, 47, 83, 163, 176, 239, 254, 213, 220, 221, 202, 
##     199, 212, 227, 258, 248, 237, 195, 179, 161, 131, 130, 99, 
##     72, 41, 27, 33, 34, 34, 72, 78, 103, 143, 179, 163, 209, 
##     230, 211, 218, 232, 225, 228, 209, 204, 234, 238, 235, 236, 
##     239, 244, 239, 234, 191, 177, 124, 103, 75, 18, 21, 38, 42, 
##     117, 170, 188, 221, 200, 213, 200, 209, 214, 231, 221, 217, 
##     218, 236, 212, 205, 179, 168, 152, 138, 131, 136, 90, 36, 
##     23, 61, 77, 64, 86, 148, 149, 177, 182, 183, 159, 191, 206, 
##     218, 226, 233, 252, 219, 204, 207, 217, 221, 229, 228, 220, 
##     205, 183, 175, 148, 136, 50, 37, 32, 48, 71, 87, 67, 83, 
##     143, 191, 194, 187, 200, 183, 171, 212, 211, 219, 183, 186, 
##     216, 238, 229, 220, 202, 105, 117, 93, 60, 29, 112, 99, 158, 
##     156, 158, 153, 153, 155, 155, 159, 158, 156, 154, 153, 166, 
##     149, 143, 134, 134, 149, 176, 174, 168, 163, 190, -29, -29, 
##     -21, -43, -47, -72, -75, -80, -78, -84, -94, -98, -26, -22, 
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##     -25, -89, -86, -102, -96, -107, -106, -106, -111, -125, -112, 
##     -48, -66, -68, -95, -97, -123, -124, -121, -115, -123, -132, 
##     -127, -61, -64, -69, -74, -77, -76, -72, -69, -61, -57, -90, 
##     -85, -63, -63, -65, -66, -62, -52, -54, -65, -46, -43, -62, 
##     -63, -60, -67, -66, -65, -65, -68, -66, -68, -70, -67, -66, 
##     -68, -69, -70, -66, -63, -62, -67, -62, -70, -78, -78, -80, 
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##     -39, -41, -41, -42, -42, -42, -41, -43, -44, -45, -44, -46, 
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##     -83, -86, -89, -93, -96, -106, -111, -104, -106, -105, -102, 
##     -100, -97, -96, -95, -94, -94, -97, -97, -97, -95, -93, -89, 
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##     -68, -58, -59, -18, -17, -24, -59, -61, -67, -65, -82, -52, 
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##     -146, -105, -103, -94, -93, -75, -61, -59, -50, -50, -50, 
##     -38, -37, -45, -35, -61, -57, -62, -54, -48, -40, -36, -17, 
##     -26, -56, -73, -62, -52, -50, -72, -84, -97, -112, -121, 
##     -119, -119, -120, -116, -110, -106, -102, -88, -85, -84, 
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##     -60, -61, -41, -59, -69, -60, -50, -48, -47, -46, -49, -50, 
##     -56, -56, -52, -50, -36, -29, -14, -13, -30, -31, -33, -54, 
##     -58, -55, -58, -64, -73, -49, -42, -38, -42, -47, -57, -64, 
##     -64, -67, -22, -31, -60, -62, -63, -54, -60, -52, -42, -20, 
##     -15, -19, -29, -32, -78, -50, -46, -32, -40, -17, -20, -30, 
##     -31, -24, -15, -26, -20, -31, -32, -31, -43, -36, -48, -39, 
##     -40, -42, -40, -30, -27, -28, -30, -29, -37, -66, -71, -83, 
##     -95, -90, -97, -89, -95, -116, -113, -111, -113, -111, -116, 
##     -118, -116, -115, -118, -113, -91, -92, -98, -94, -79, -47, 
##     -50, -69, -58, -42, -43, -15, -18, -8, -7, -12, -10, -12, 
##     -18, -88, -106, -113, -116, -106, -118, -110, -117, -103, 
##     -92, -81, -70, -33, -42, -48, -47, -34, -32, -40, -97, -106, 
##     -114, -116, -123, -127, -115, -119, -113, -106, -97, -84, 
##     -89, -95, -82, -86, -84, -87, -84, -84, -81, -83, -85, -87, 
##     -86, -84, -46, -44, -44, -47, -49, -50, -40, -34, -35, -35, 
##     -43, -49, -47, -61, -43, -42, -41, -41, -43, -42, -43, -42, 
##     -42, -43, -43, -53, -49, -45, -44, -43, -44, -52, -47, -43, 
##     -44, -49, -41, -42, 159, 160, 159, 158, 159, 157, 159, 156, 
##     157, 159, 159, 158, 156, 157, 156, 157, 159, 156, 156, 157, 
##     152, 152, 151, 155, 156, 155, 156, 157, 157, 157, 157, 155, 
##     156, 149, 152, 154, 28, 43, 67, 77, 157, 209, 183, 168, 176, 
##     183, 190, 185, 178, 177, 145, 111, 73, 68, 51, 51, 182, 193, 
##     190, 188, 189, 189, 176, 197, 202, 143, 145, 149, 156, 157, 
##     157, 161, 159, 170, 173, 178, 176, 166, 169, 171, 171, 164, 
##     163, 164, 164, 166, 162, 72, 79, 99, 115, 130, 135, 137, 
##     146, 152, 153, 161, 168, 167, 170, 157, 153, 155, 154, 155, 
##     153, 154, 153, 154, 154, 154, 155, 156, 154, 155, 154, 154, 
##     154, 152, 153, 155, 183, 184, 187, 163, 156, 156, 154, 151, 
##     160, 154, 153, 154, 154, 153, 157, 158, 172, 169, 157, 153, 
##     116, 118, 129, 129, 121, 124, 132, 137, 139, 128, 128, 137, 
##     145, 153, 169, 117, 111, 115, 101, 146, 138, 127, 157, 180, 
##     184, 171, 170, 54, 41, 84, 66, 41, 38, 16, 10, 12, 12, 11, 
##     40, 41, 39, -32, 17, 47, 30, 44, 75, 60, 38, 20, 25, -2, 
##     35, 49, 30, 22, 8, 4, 2, -6, -4, 20, 12, -2, 3, -15, -77, 
##     50, 24, 22, 27, 25, 25, 15, 12, 15, -5, 12, 22, 39, 39, 36, 
##     -74, -75, 136, 140, 153, 160, 166, 168, 156, 147, 128, 112, 
##     92, 90, 82, 68, 61, 46, 6, 4, 7, 8, 4, 0, -4, -3, 0, -1, 
##     -6, -2, 1, -4, -3, -5, -2, -4, -1, -1, 0, 8, 36, 57, 56, 
##     54, 51, 47, 36, 10, 15, 3, -38, -43, -86, -138, -124, -98, 
##     -84, -40, 2, 61, 78, 104, 95, 93, 74, 89, 5, 3, -8, -62, 
##     -140, -151, -112, -71, -51, 18, 25, 49, 68, 69, 77, 81, 65, 
##     58, 41, 38, 29, 29, 37, 30, 9, 6, 3, 13, 29, 71, 79, 83, 
##     83, 62, 56, 17, 6, -41, -54, -191, -157, -134, -52, -17, 
##     -17, 22, 53, 76, 90, 62, 54, 52, 41, 46, 44, 32, 75, 69, 
##     48, 18, -17, -22, -38, -60, -148, -127, -74, -73, -55, 31, 
##     73, 98, 53, 38, 34, -1, 28, 47, 49, 69, 40, 36, -7, -38, 
##     -84, -100, -115, -118, -91, -82, -75, -21, 93, 100, 74, 57, 
##     15, 23, -44, -84, -84, -110, -172, -78, -31, 27, 28, 65, 
##     101, 94, 82, 36, 1, -9, -4, 4, 19, 20, 37, 58, 87, 75, 67, 
##     49, 12, -6, -60, -178, -144, -108, -83, -53, 75, 71, 14, 
##     44, 36, 21, 13, 2, 0, 4, 6, 39, 74, -17, 42, -2, -1, 11, 
##     24, 33, 34, 29, 60, 79, 95, 77, 63, 58, 58, -15, -33, -47, 
##     -79, -149, -212, -127, -83, -78, -46, -14, 82, 64, 103, 58, 
##     86, 76, 57, 15, 17, 7, 11, 28, 46, 61, 72, 103, 101, 87, 
##     58, 31, 35, 6, -32, -61, -71, -103, -179, -208, 2, 80, 155, 
##     172, 176, 170, 207, 174, 180, 201, 199, 171, 165, 167, 165, 
##     162, 159, 158, 162, 162, 158, 159, 162, 161, 163, 145, 140, 
##     148, 152, 154, 150, 152, 157, 158, 158, 159, 155, 157, 154, 
##     150, 152, 151, 151, 153, 153, 160, 156, 155, 155, 156, 156, 
##     156, 156, 155, 154, 156, 155, 155, 155, 155, 154, 155, 155, 
##     154, 156, 157, 157, 156, 156, 158, 156, 157, 156, 154, 155, 
##     156, 162, 162, 171, 170, 170, 172, 173, 173, 177, 180, 183, 
##     86, 115, 157, 173, 195, 197, 201, 208, 211, 214, 208, 189, 
##     174, 159, 161, 162, 163, 161, 160, 166, 179, 187, 204, 206, 
##     216, 218, 210, 202, 127, 90, 63, 45, 33, 26, 1, -4, -36, 
##     -21, 28, 45, 49, 78, 90, 97, 147, 166, 207, 206, 206, 203, 
##     218, 213, 202, 176, 166, 132, 98, 91, 80, 77, 68, 60, 40, 
##     36, 13, -16, -17, -15, 18, 101, 113, 115, 123, 135, 158, 
##     173, 185, 201, 216, 222, 210, 210, 211, 208, 198, 161, 167, 
##     168, 168, 170, 168, 165, 162, 187, 204, 226, 231, 199, 135, 
##     117, 111, 105, 53, 48, 40, 17, 7, -11, -21, -10, -3, 2, 3, 
##     43, 52, 85, 119, 133, 145, 149, 154, 206, 211, 190, 178, 
##     166, 190, 199, 182, 175, 163, 149, 122, 112, 105, 75, 7, 
##     -2, -5, -25, -37, -29, -23, -6, 16, 133, 186, 213, 194, 185, 
##     165, 157, 151, 139, 132, 102, 93, 87, 70, 44, 26, 10, -8, 
##     -20, -34, -44, -29, -7, -2, 36, 143, 211, 218, 216, 218, 
##     193, 182, 172, 169, 163, 167, 175, 231, 227, 217, 162, 156, 
##     124, 116, 103, 83, 72, 11, 46, 78, 94, 138, 141, 159, 154, 
##     165, 182, 164, 133, 128, 134, 142, 124, 123, 126, 134, 130, 
##     131, 135, 147, 173, 171, 163, 157, 146, 121, 113, 103, 56, 
##     -40, 48, 70, 108, 132, 143, 164, 161, 168, 166, 161, 160, 
##     147, 144, 136, 125, 128, 134, 126, 129, 139, 139, 164, 107, 
##     98, 65, 39, 0, -25, -36, -53, -57, -5, 2, -2, 0, 32, 42, 
##     78, 83, 117, 127, 112, 97, 88, 86, 64, 49, 31, 9, -16, -39, 
##     -47, -38, -19, -21, -18, 22, 37, 63, 81, 98, 121, 140, 137, 
##     136, 136, 119, 124, 127, -21, -17, -8, 21, 36, 41, 77, 80, 
##     85, 105, 145, 146, 159, 149, 131, 118, 130, 120, 126, 132, 
##     129, 125, 113, 110, 113, 117, 116, 116, 112, 113, 113, 112, 
##     114, 111, 113, 115, 117, 115, 112, 112, 110, 112, 113, 115, 
##     114, 71, 94, 96, 135, 138, 155, 175, 155, 155, 155, 140, 
##     138, 135, 136, 105, 154, 161, 172, 194, 180, 147, 145, 138, 
##     152, 155, 156, 150, 173, 176, 154, 128, 117, 106, 18, 5, 
##     -31, -87, -106, -104, 158, 148, 157, 174, 179, 175, 171, 
##     94, 82, -85, -89, -93, -65, -57, -64, -59, -55, 77, 92, 137, 
##     167, 168, 168, 161, 159, 165, 170, 184, 136, 105, 71, 22, 
##     152, 150, 157, 166, 156, 167, 155, 149, 134, 134, 133, 140, 
##     148, 158, 183, -52, -20, -16, -4, 90, 154, 167, 168, 163, 
##     175, 167, 150, 152, 154, 149, 143, 141, 151, 156, 182, 136, 
##     123, 88, 71, 66, 57, -25, -41, -55, -66, -107, -102, -87, 
##     -74, -71, -18, 57, 67, 101, 168, 172, 182, 185, 183, 175, 
##     171, 53, 178, 185, 208, 215, 138, 205, 192, 201, 200, 191, 
##     210, 225, 208, 198, 191, 186, 209, 214, 219, 233, 235, 202, 
##     192, 214, 225, 194, 195, 224, 234, 242, 247, 155, 151, 142, 
##     108, 44, 27, 39, 56, 64, 41, 48, 168, 206, 223, 209, 213, 
##     202, 171, 209, 203, 183, 175, 172, 153, 167, 170, 173, 175, 
##     175, 174, 174, 172, 172, 171, 175, 171, 172, 175, 171, 172, 
##     172, 175, 199, 216, 253, 260, 270, 241, 231, 213, 184, 78, 
##     46, -36, -53, -48, -25, -17, -2, 138, 151, 200, 192, 275, 
##     280, 256, 200, 219, 267, 291, 266, 268, 262, 260, 179, 107, 
##     38, -16, -27, -36, -37, 30, 62, 66, 63, 253, 262, 257, 245, 
##     247, 242, 240, 196, 203, 227, 242, 265, 271, 253, 267, 235, 
##     240, 241, 253, 240, 262, 167, 93, 19, -27, -46, -32, -3, 
##     13, 19, 33, 81, 101, 123, 253, 256, 268, 275, 267, 233, 226, 
##     237, 261, 266, 293, 287, 227, 163, 154, 92, 86, 72, 23, 12, 
##     -46, -38, -21, 45, 62, 118, 169, 277, 255, 258, 215, 216, 
##     214, 267, 267, 286, 283, 216, 98, 87, 77, 54, 24, -31, 276, 
##     291, 296, 297, 282, 270, 134, 36, 29, -77, -60, -49, 29, 
##     41, 134, 111, -90, -84, -62, -63, -19, 12, 17, 2, -2, -6, 
##     -11, -22, -33, -32, -33, -35, -33, -36, -36, -37, -42, -39, 
##     -38, -39, -38, -33, -36, -42, -34, -41, -46, -49, -57, -52, 
##     -54, -49, -46, -41, -27, -19, -24, -30, -39, -53, -50, -49, 
##     -61, -66, -101, -98, -99, -108, -117, -162, -172, -159, -165, 
##     -147, -144, -148, -142, -134, -81, -65, -51, -71, -44, -19, 
##     -20, -25, -37, -25, -22, -21, -22, -18, -34, -32, -41, -70, 
##     -74, -68, -90, -97, -108, -113, -114, -131, -127, -134, -129, 
##     -133, -11, 2, 17, 7, -9, -4, -22, -20, -19, -30, -31, -31, 
##     -18, -15, -12, -3, 7, -158, -159, -155, -146, -129, -98, 
##     -19, -20, -18, 9, 2, 5, 8, -13, 10, 20, -4, -10, -46, -36, 
##     -27, -23, -29, -29, -31, -34, -23, -13, 3, -14, -62, -79, 
##     -88, -112, -118, -139, -141, -152, -175, -200, -191, -187, 
##     -187, -184, -174, -166, -172, -168, -167, -126, -114, -83, 
##     -48, -31, -27, -27, -24, 5, -8, -14, -21, -62, -85, -81, 
##     -125, -125, -134, -143, -150, -152, -157, -166, -166, -172, 
##     -167, -13, -22, -21, -21, -22, -5, 1, 0, 5, 10, 17, -6, -52, 
##     -69, -66, -101, -119, -116, -119, -140, -148, -160, -157, 
##     -167, -168, -171, -170, -162, -160, -152, -142, -132, -46, 
##     -11, -20, -35, -15, -40, -34, -19, -15, -29, -30, -31, -33, 
##     -31, -24, -24, -28, -31, -15, 3, 0, -6, -81, -87, -101, -134, 
##     -138, -143, -144, -146, -144, -152, -157, -155, -153, -159, 
##     -160, -165, -158, -158, -153, -149, -148, -145, -125, -62, 
##     -32, -46, -45, -27, -31, -13, -6, -10, -1, -6, -15, 10, 5, 
##     -15, -11, -9, -20, -28, -37, -36, -39, -40, -41, -40, -39, 
##     8, -2, -11, -83, -101, -110, -112, -115, -122, -130, -134, 
##     -151, -159, -160, -153, -149, -146, -142, -137, -124, -70, 
##     -61, -140, -50, -23, -42, -32, -26, 3, -5, -7, -7, -10, -15, 
##     -28, -7, -25, -24, -21, -29, -33, -34, -33, -1, 3, 4, -33, 
##     -77, -74, -83, -97, -101, -101, -101, -108, -120, -119, -122, 
##     -124, -135, -137, -141, -147, -148, -147, -146, -145, -136, 
##     -138, -136, -123, -126, -116, -63, -22, -24, -26, -31, -29, 
##     -31, -31, -35, -35, -33, -34, -32, -33, -35, -35, -37, -35, 
##     -33, -82, -75, -47, 4, -8, 2, 16, 4, -16, -27, -24, -9, -8, 
##     -8, -11, -25, -14, -43, -58, -70, -77, -95, -106, -93, -91, 
##     -109, -76, -67, -94, -117, -121, -129, -122, -126, -124, 
##     -116, -112, -111, -111, -91, -86, -78, -71, -82, -86, -80, 
##     -63, -56, -48, -44, -38, -45, -68, -65, -69, -86, -85, -84, 
##     -88, -115, -111, -113, -109, -102, -110, -105, -116, -132, 
##     -138, -137, -135, -112, -87, -70, -63, -40, -24, -12, -3, 
##     -13, -17, -24, -43, -48, -56, -68, -75, -80, -61, -59, -62, 
##     -62, -61, -64, -45, -47, -49, -64, -48, -81, -88, -88, -97, 
##     -111, -115, -131, -136, -135, -145, -152, -140, -150, -143, 
##     -137, -84, -75, -22, -24, -23, -18, -15, -40, -19, -23, -31, 
##     -42, -48, -48, -68, -43, -47, -50, -58, -36, -32, -30, -27, 
##     -27, -30, -22, -20, -23, -139, -139, -138, -138, -136, -138, 
##     -127, -123, -121, -118, -114, -113, -107, -96, -85, -74, 
##     -77, -67, -55, -50, -60, -60, -61, -66, -70, -71, -70, -72, 
##     -70, -21, -53, -60, -61, -104, -106, -121, -139, -138, -133, 
##     -162, -191, -202, -196, -193, -181, -184, -194, -189, -189, 
##     -168, -160, -150, -138, -113, -80, -41, -22, -18, -28, -30, 
##     -40, -38, -47, -51, -47, -51, -39, -35, -33, -9, -32, -29, 
##     -45, -73, -82, -129, -162, -168, -171, -191, -202, -209, 
##     -207, -193, -198, -194, -185, -186, -182, -177, -176, -160, 
##     -111, -88, -61, -31, -40, -49, -58, -49, -51, -22, -32, -35, 
##     -40, -41, -39, -40, -39, -46, -48, -50, -24, -63, -48, -52, 
##     -87, -100, -114, -133, -134, -145, -168, -181, -186, -182, 
##     -184, -47, -43, -33, -39, -40, -41, -27, -13, -9, -18, -40, 
##     -42, -46, -38, -2, -5, -23, -45, -57, -65, -62, -84, -83, 
##     -82, -112, -136, -146, -154, -164, -178, -181, -191, -185, 
##     -183, -186, -182, -183, -183, -176, -172, -169, -165, -147, 
##     -143, -129, -106, -93, -59, -49, -52, -51, -49, -45, -29, 
##     -77, -89, -104, -114, -117, -123, -127, -132, -134, -143, 
##     -142, -152, -184, -180, -177, -174, -141, -136, -131, -118, 
##     -112, -108, -86, -77, -71, -69, -29, -30, -42, -55, -25, 
##     -34, -34, -46, -74, -35, -44, -55, -56, -53, -24, -39, -28, 
##     -35, -64, -83, -100, -105, -122, -147, -144, -195, -177, 
##     -174, -170, -156, -145, -145, -138, -110, -108, -91, -87, 
##     -55, -51, -47, -17, -9, -36, -38, -27, -29, -36, -36, -41, 
##     -41, -41, -24, -3, 14, 15, -3, -7, -16, -22, -26, -51, -54, 
##     -48, -60, -67, -73, -96, -23, -23, -25, -112, -110, -102, 
##     -97, -109, -134, -136, -131, -129, -114, -121, -108, -93, 
##     -91, -10, -17, -21, -40, -48, -45, -47, -41, -45, -41, -45, 
##     -44, -39, -27, -21, -28, -29, 0, -13, -21, -18, -19, -31, 
##     -48, -50, -64, -95, -82, -80, -89, -109, -110, -124, -124, 
##     -125, -120, -119, -119, -114, -112, -110, -108, -108, -112, 
##     -111, -107, -102, -101, -98, -101, -97, -92, -98, -99, -102, 
##     -24, -26, -42, -47, -48, -44, -43, -46, -45, -46, -49, -52, 
##     -191, -199, -195, -189, -185, -184, -184, -160, -109, -110, 
##     -99, -83, -81, -83, -58, -39, -41, -47, -26, -28, -50, -48, 
##     -53, -55, -58, -53, -54, -12, -24, -22, -43, -78, -100, -86, 
##     -87, -106, -108, -120, -120, -117, -110, -128, -55, -49, 
##     -41, -40, -43, -78, -66, -63, -67, -65, -70, -77, 291, 260, 
##     267, 249, 252, 234, 221, 222, 272, 280, 273, -70, -50, -22, 
##     18, 29, 62, 140, 203, 207, 249, 254, 269, 260, 254, 241, 
##     278, 283, 246, 240, 173, 134, 69, 63, -26, -47, -33, 9, 0, 
##     33, 33, 160, 181, 182, 178, 178, 173, 173, 172, 173, 174, 
##     173, 174, 171, 175, 174, 246, 240, 214, 192, 169, 166, 163, 
##     160, 140, 133, 117, 60, 35, 53, 65, 60, 60, 87, 153, 167, 
##     199, 23, 4, -13, -22, -62, -45, -25, -14, -1, 8, 38, 63, 
##     91, 108, 173, 204, 201, 212, 199, 206, 210, 191, 176, 172, 
##     168, 164, 162, 158, 171, 221, 232, 231, 231, 227, 191, 190, 
##     184, 176, 173, 167, 159, 159, 162, 166, 191, 191, 178, 173, 
##     130, 123, 93, 85, 64, 66, 56, 52, 45, 29, 24, 25, 18, 14, 
##     201, 179, 124, 76, 59, 35, -1, 13, 17, 33, 84, 117, 175, 
##     170, 169, 173, 171, 170, 171, 170, 177, 202, 214, 217, 243, 
##     258, 257, -200, -165, -109, -76, -51, 48, 85, 91, 71, 70, 
##     41, 32, 89, 109, 89, 86, 78, 72, 47, 21, 12, 4, 2, 19, 10, 
##     13, 6, 17, 64, 60, 50, 73, 61, 159, 150, 150, 154, 197, 190, 
##     183, 155, 123, 109, 92, 182, 165, 107, 104, 96, 88, 68, 63, 
##     38, 13, -3, -14, -34, -66, -94, -67, -52, -56, -33, -67, 
##     -88, -100, -99, -86, -90, -94, -78, -58, -55, 0, 10, -69, 
##     -69, -51, -29, -14, 49, 140, 160, 159, 177, 170, 159, 141, 
##     129, 86, 42, 42, 12, -57, -72, -93, -85, -61, -58, -54, 33, 
##     26, 22, 2, -7, -14, -55, -69, -57, -45, -38, -38, 51, 115, 
##     114, 114, 113, 112, 112, 113, 118, 122, 122, 147, 156, 164, 
##     173, 173, 173, 135, 78, 129, 147, 154, 146, 142, 101, 98, 
##     85, 66, 3, -4, -29, -39, -44, -46, -47, -33, -27, -17, 153, 
##     164, 141, 143, 137, 124, 127, 123, 132, 144, 152, 159, 126, 
##     -131, -69, -38, -35, -13, 11, 20, 58, 72, 74, 66, 66, 46, 
##     18, 2, -5, -6, -4, -2, 1, 28, 30, 32, 32, 9, -10, -4, -11, 
##     -21, -20, -28, -32, -5, -11, 8, 8, 11, 11, 28, 35, 18, 17, 
##     18, 0, 1, 6, 6, 5, 12, 15, 21, 27, 32, 37, 31, 24, 6, -3, 
##     4, -28, -38, -47, -47, -28, -24, -14, -15, -17, -10, -3, 
##     -6, -4, -7, 10, 16, 14, 12, -2, 2, -1, -4, 3, 4, 1, -11, 
##     -11, -15, -19, -16, -16, -11, -5, -4, 4, 21, 16, 18, 12, 
##     6, -3, 1, 2, -6, 0, 8, 5, 6, 3, -4, 0, -4, -7, 2, 12, 20, 
##     24, 34, 29, 35, 17, 10, 8, -18, -27, -40, -40, -42, -38, 
##     -32, -16, -12, -10, -7, -4, 23, 38, 3, -1, -2, 3, 4, -3, 
##     -8, -9, 7, 13, 34, 37, 38, 21, 16, 13, -15, -6, -20, 6, 6, 
##     2, 1, 14, 28, 26, 12, 7, 13, 12, 10, -1, -4, -3, 3, 8, 9, 
##     9, 15, 34, 35, 20, 11, 11, 18, 7, -25, -13, -10, 0, 4, -2, 
##     28, 12, 16, 29, 34, 36, 21, 8, 6, 5, 2, 5, 14, 27, 49, 55, 
##     58, 41, 25, 20, -1, -31, -25, -41, -18, 13, 8, -12, 27, 47, 
##     41, 37, 10, 10, 3, 4, 1, 2, 4, 6, 8, 19, 28, 40, 29, 30, 
##     16, -16, -35, 230, 218, 180, 166, 208, 170, 160, 125, 118, 
##     81, 65, 57, 51, 34, 31, 6, 2, -5, -26, -34, -29, -20, -2, 
##     27, 55, 101, 221, 219, 229, 231, 227, 209, 204, 185, 180, 
##     150, 220, 247, 254, 264, 255, 209, 200, 188, 85, 64, 12, 
##     -15, -29, -46, -40, -39, 6, 0, 41, 44, 78, 92, 127, 135, 
##     207, 216, 214, 212, 216, 218, 198, 167, 169, 168, 187, 225, 
##     227, 231, 232, 218, 207, 198, 188, 116, 104, 58, 55, -23, 
##     -26, -38, -44, -74, -72, -68, -57, -33, -35, 0, 1, 101, 118, 
##     168, 175, 163, 160, 174, 187, 192, 180, 176, 173, 171, 166, 
##     163, 160, 158, 154, 155, 168, 172, 185, 192, 197, 149, 88, 
##     74, 58, 79, 111, 125, 136, 175, 179, 171, 165, 156, 154, 
##     160, 169, 189, 193, 188, 162, 130, 58, 51, 67, 59, 66, 83, 
##     87, 126, 134, 141, 146, 169, 158, 177, 165, 163, 143, 142, 
##     137, 137, 144, 150, 166, 181, 189, 189, 152, 135, 120, 101, 
##     93, 81, 48, 47, 48, 46, 63, 60, 65, 76, 90, 91, 99, 111, 
##     150, 153, 159, 159, 174, 165, 180, 194, 147, 138, 120, 102, 
##     85, 62, 59, 57, 56, 70, 73, 75, 93, 157, 158, 160, 163, 179, 
##     182, 187, 206, 198, 190, 124, 112, 74, 73, 72, 73, 76, 86, 
##     168, 173, 170, 181, 190, 183, 177, 167, 154, 153, 151, 146, 
##     153, 166, 184, 193, 199, 202, 201, 36, 22, 20, 12, 3, -5, 
##     -48, -54, -70, -102, -90, -79, -86, -91, -67, -14, 8, 29, 
##     85, 114, 131, 164, 183, 181, 179, 170, 162, 159, 160, 156, 
##     154, 159, 183, 185, 189, 198, 185, 106, 77, 54, 47, 40, 4, 
##     -4, -12, -31, -79, -91, -100, -97, -87, -76, -64, -13, 70, 
##     100, 122, 129, 159, 172, 168, 175, 174, 165, 153, 154, 142, 
##     143, 181, 177, 183, 146, -17, -12, -6, 103, 133, 150, 140, 
##     130, 123, 122, 124, 102, 100, 96, 97, 101, 104, 114, 113, 
##     112, 104, 89, 94, 100, 104, 86, 87, 93, 112, 118, 119, 111, 
##     100, 103, 84, 78, 84, 80, 79, 88, 97, 98, 96, 90, 103, 93, 
##     97, 95, 97, 98, 89, 106, 115, 110, 106, 111, 102, 118, 97, 
##     105, 92, 98, 97, 92, 91, 98, 111, 111, 103, 103, 103, 104, 
##     108, 106, 108, 111, 110, 111, 109, 108, 109, 108, 105, 104, 
##     108, 110, 110, 112, 123, 123, 130, 132, 128, 80, 84, 77, 
##     48, 2, 5, 8, 29, 29, 67, 67, 91, 157, 138, 156, 162, 144, 
##     148, 129, 135, 135, 138, 143, 144, 142, 138, 120, 103, 88, 
##     71, 66, 46, 29, 19, 19, 27, 32, 38, 40, 121, 167, 169, 149, 
##     142, 118, 119, 106, 122, 173, 180, 193, 168, 160, 139, 148, 
##     160, 160, 137, 137, 105, 79, 60, 48, 35, 65, 81, 82, 119, 
##     110, 145, 146, 141, 135, 136, 135, 136, 139, 146, 151, 137, 
##     132, 133, 29, 22, 21, 16, 12, 9, 16, 32, 103, 123, 120, 142, 
##     156, 151, 142, 126, 158, -20, -57, -36, -10, 13, 21, 67, 
##     156, 211, 255, 257, 253, 247, 261, 253, 230, 225, 212, 209, 
##     204, 218, 230, 299, 290, 290, 157, 86, 73, 50, 21, -4, -12, 
##     -25, -73, -62, -58, -21, 5, 94, 168, 174, 162, 284, 266, 
##     268, 273, 260, 271, 249, 241, 214, 258, 265, 275, 185, 124, 
##     34, -40, -48, -31, -22, 11, 28, 62, 150, 192, 221, 221, 262, 
##     254, 264, 246, 235, 231, 232, 227, 217, 218, 211, 219, 196, 
##     191, 168, 170, 172, 171, 174, 172, 173, 170, 168, 166, 168, 
##     167, 165, 168, 183, 190, 194, 210, 203, 203, 219, 213, 175, 
##     165, 162, 147, 68, 104, 78, 107, 137, 194, 204, 184, 182, 
##     196, 198, 196, 186, 184, 172, 176, 184, 156, 170, 173, 201, 
##     198, 210, 165, 163, 120, 85, 74, 75, 86, 96, 94, 80, 90, 
##     89, 88, 129, 165, 221, 192, 186, 191, 178, 187, 197, 192, 
##     166, 170, 176, 200, 208, 212, 222, 168, 69, 74, 89, 85, 100, 
##     89, 108, 86, 109, 159, 192, 167, 181, 161, 160, 208, 215, 
##     229, 232, 154, 149, 136, 110, 96, 81, 95, 101, 106, 158, 
##     192, 194, 161, 189, 236, 233, 218, 204, 200, 193, 194, 214, 
##     235, 224, 189, 170, 155, 142, 127, 125, 85, 82, 94, 84, 81, 
##     87, 104, 119, 178, 212, 217, 219, 196, 191, 180, 182, 197, 
##     224, 200, 190, 150, 104, 68, 61, 69, 75, 68, 63, 63, 65, 
##     105, 126, 133, 224, 195, 213, 209, 205, 206, 200, 190, 212, 
##     193, 181, 249, 245, 228, 196, 130, 82, 89, 89, 101, 156, 
##     169, 183, 205, 201, 194, 203, 205, 226, 231, 211, 199, 188, 
##     192, 228, 230, 238, 237, 165, 152, 101, 66, 96, 144, 233, 
##     219, 213, 196, 201, 213, 217, 223, 222, 134, 106, 86, 85, 
##     97, 86, 101, 164, 165, 195, 194, 215, 226, 221, 178, 186, 
##     231, 233, 240, 163, 80, 101, 84, 90, 71, 76, 108, 102, 91, 
##     100, 126, 171, 197, 168, 169, 165, 160, 164, 169, 170, 163, 
##     166, 167, 163, 163, 171, 45, 51, 80, 107, 132, 267, 254, 
##     255, 285, 284, 244, 222, 213, 233, 252, 261, 265, 197, 196, 
##     151, 129, 108, -27, -12, 31, 35, 17, 9, 4, -9, -20, -10, 
##     -22, -26, -50, -36, -5, 8, 26, 23, -1, -14, -5, -7, -10, 
##     -16, -28, -29, -29, -30, -30, -25, -26, -26, -149, -152, 
##     -156, -163, -166, -160, -162, -160, -157, -135, -131, -109, 
##     -89, -73, -36, 30, 43, 41, 57, 45, 29, 8, 34, -3, -42, -53, 
##     -61, -63, -62, -55, -62, -52, -41, -15, 7, -20, -27, -19, 
##     -29, -34, -1, 4, -11, -16, -19, -25, -38, -44, -45, -42, 
##     -37, -43, -48, -55, -71, -68, -60, -59, -53, -31, -31, -25, 
##     -26, -47, -75, -77, -98, -85, -87, -98, -110, -90, -105, 
##     -101, -109, -98, -93, -97, -98, -41, -47, -43, -41, -46, 
##     -24, -37, -36, -18, -26, -31, -33, -25, -16, -17, -23, -25, 
##     -25, -33, -35, -25, -25, -24, -21, -18, -17, -20, -24, -75, 
##     -69, -79, -70, -81, -88, -84, -93, -92, -98, -95, -99, -101, 
##     -98, -89, -69, -51, -48, -4, 2, -8, -10, 7, 16, 4, -10, -4, 
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##     49, 50, 51, 48, 51, 63, 86, 120, 119, 127, 175, 190, 178, 
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##     160, 173, 185, 211, 206, 196, 173, 167, 149, 138, 84, 71, 
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##     155, 145, 145, 187, 213, 212, 194, 184, 154, 139, 105, 77, 
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##     168, 166, 167, 181, 176, 136, 145, 157, 155, 163, 157, 81, 
##     68, 68, 61, 40, 30, 9, 3, 9, 15, 39, 34, 54, 64, 83, 110, 
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##     86, -20, 59, 57, 79, 119, 165, 159, 224, 257, 234, 217, 199, 
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##     108, 124, 119, 99, 106, 104, 103, 131, 134, 114, 106, 135, 
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##     162, 164, 155, 140, 143, 149, 144, 102, 78, 83, -1, -6, 24, 
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##     28, 25, 33, 38, 51, 87, 148, 136, 181, 172, 136, 120, 116, 
##     107, 115, 120, 114, 115, 116, 170, 127, 103, 90, 73, 75, 
##     100, 112, 74, 94, 93, 80, 110, 102, 102, 102, 99, 104, 201, 
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##     171, 172, 176, 174, 175, 173, 151, 141, 145, 147, 153, 160, 
##     185, 200, 158, 129, 106, 92, 64, 62, 65, 65, 67, 68, 77, 
##     86, 97, 137, 141, 166, 159, 178, 194, 179, 181, 176, 166, 
##     158, 148, 150, 155, 160, 186, 190, 187, 185, 172, 157, 101, 
##     90, 75, 53, 59, 70, 72, 115, 138, 150, 171, 158, 158, 161, 
##     -69, -67, -73, -72, -32, -22, 0, 22, 46, 14, 25, 18, 3, -2, 
##     19, 24, 41, 28, 5, 2, 3, 6, 5, 2, -4, -10, -16, -31, 44, 
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##     -73, -92, -61, -36, -24, -29, -14, 62, 9, 11, 39, 43, 58, 
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##     52, 55, 67, 96, 131, 143, 150, 158, 175, 178, 189, 188, 185, 
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##     -157, -151, -144, -134, -130, -113, -87, -30, -46, 7, -1, 
##     13, 14, -2, -18, -13, -16, -39, -45, -56, -35, -66, -48, 
##     0, -13, -13, -11, 22, -13, -114, -129, -147, -154, -190, 
##     -218, -233, -231, -228, -223, -207, -186, -175, -158, -137, 
##     -126, -94, -49, -17, 23, 14, 25, 14, -2, -10, -20, -33, -21, 
##     -28, -40, -42, -45, -116, -180, -210, -211, -211, -237, 127, 
##     123, 119, 116, 84, 41, 12, -2, -12, -23, -49, -57, -44, -41, 
##     -37, -15, 47, 83, 115, 143, 155, 152, 163, 169, 161, 150, 
##     135, 132, 124, 115, 90, 57, 50, 48, 12, 6, -53, -51, -47, 
##     -23, -22, -21, -21, -3, 17, 35, 60, 121, 135, 140, 156, 157, 
##     162, 163, 142, 137, 92, 62, 50, 33, 28, -59, -69, -74, -58, 
##     -32, -26, 12, 28, 68, 91, 116, 123, 136, 147, 162, 185, 155, 
##     141, 144, 146, 141, 122, 118, 35, 31, 14, 3, -3, -47, -51, 
##     -53, -40, -31, -20, -26, -6, 126, 129, 129, 128, 130, 126, 
##     129, 135, 159, 121, 33, 8, -10, -36, -64, -85, -92, -100, 
##     -99, -71, -72, -80, -82, -83, -93, -101, -101, -62, -23, 
##     -5, 121, 177, 209, 177, 161, 171, 149, 159, 171, 183, 185, 
##     189, 143, 90, 71, 56, 41, 29, 152, 159, 170, 163, 154, 149, 
##     147, 151, 153, 155, 161, 125, 112, 72, 33, 5, -23, -73, -109, 
##     -93, -98, -92, -82, -52, 86, 110, 186, 178, 176, 167, 172, 
##     191, 157, -52, -59, -100, -87, -84, -78, -79, -66, -4, 13, 
##     93, 150, 155, 186, 177, 163, 157, 159, 183, 180, 167, 161, 
##     146, 129, 100, 88, 22, 0, -21, -30, -39, -41, -94, -78, -23, 
##     0, 7, 29, 45, 106, 153, 167, 183, 175, 179, 176, 176, 164, 
##     173, 176, 186, 185, 177, 174, 159, 150, 109, 83, 8, -33, 
##     -51, -70, -80, -121, -121, -110, -86, -56, -50, -18, -9, 
##     29, 68, 86, 122, 206, 226, 188, 180, 150, 138, 146, 127, 
##     130, 158, 60, 38, 7, -6, -66, -91, -104, -124, -143, -121, 
##     -118, -112, -60, 27, 27, 42, 133, 180, 46, 63, 20, 25, 14, 
##     4, 7, 10, 11, 18, 26, 13, 5, 5, 45, 45, 104, 93, 82, -56, 
##     -61, -74, -87, -228, -268, -205, -135, 16, 51, 68, 64, 70, 
##     29, 26, 37, -13, -9, 14, 19, 45, 50, 47, 68, 70, 58, 39, 
##     32, -123, -279, -318, -188, -163, -112, -58, 52, 33, 82, 
##     85, 85, 71, 54, 13, 19, -2, -2, 0, 72, 66, 55, 40, 48, 40, 
##     47, 1, -63, -301, -140, -66, -76, -59, -68, -70, -53, -57, 
##     -57, -57, -54, -60, -61, -73, -74, -87, -92, -102, -106, 
##     -105, -109, -112, -115, -126, -127, -129, -140, -156, -156, 
##     -134, -126, -116, -114, -104, -77, -78, -86, -87, -40, -39, 
##     -47, -49, -68, -64, -65, -66, -68, -69, -55, -134, -130, 
##     -134, -142, -148, -151, -155, -152, -149, -152, -96, -94, 
##     -87, -91, -110, -59, -62, -43, -54, -60, -48, -46, -39, -58, 
##     -64, -82, -91, -101, -104, -97, -104, -119, -128, -126, -137, 
##     -140, -135, -127, -133, -138, -141, -151, -136, -141, -147, 
##     -139, -127, -105, -114, -116, -105, -93, -89, -83, -81, -75, 
##     -70, -51, -51, -62, -63, -54, -58, -63, -62, -63, -75, -78, 
##     -91, -108, -119, -140, -136, -127, -123, -149, -174, -156, 
##     -147, -140, -163, -157, -133, -134, -140, -124, -100, -118, 
##     -114, -101, -100, -92, -76, -70, -73, -73, -63, -54, -61, 
##     -83, -85, -71, -59, -57, -55, -57, -72, -75, -68, -78, -76, 
##     -21, -26, -25, -26, -26, -54, -85, -94, -97, -117, -162, 
##     -162, -183, -203, -206, -208, -176, -91, -87, -84, -78, -72, 
##     -70, -57, -55, -57, -60, -65, -34, -71, -77, -75, -48, -59, 
##     -59, -61, -67, -89, -108, -103, -115, -123, -135, -157, -169, 
##     -177, -179, -181, -176, -168, -154, -98, -99, -82, -82, -64, 
##     -60, -47, -47, -56, -28, -34, -43, -50, -51, -44, -51, -52, 
##     -57, -61, -44, -38, -36, -83, -106, -126, -134, -137, -144, 
##     -149, -172, -192, -195, -198, -205, -190, -187, -177, -151, 
##     -139, -138, -139, -127, -114, -107, -91, -76, -91, -77, -75, 
##     -81, -71, -72, -72, -47, -48, -44, -26, -16, -30, -88, -148, 
##     -158, -143, -150, -170, -177, -181, -185, -191, -182, -154, 
##     -148, -145, -138, -116, -117, -112, -101, -96, -95, -70, 
##     -60, -54, -47, -45, -54, -58, -55, -53, -45, -40, -48, -58, 
##     -64, -65, -60, -79, -94, -84, -83, -82, -107, -117, -136, 
##     -148, -139, -139, -146, -158, -164, -179, -185, -174, -169, 
##     -147, -147, -136, -132, -115, -96, -106, -26, -20, -34, -42, 
##     -66, -37, -24, -21, -25, -28, 0, -20, -16, -8, -37, -43, 
##     -46, -60, -112, -145, -151, -147, -185, -194, -196, -164, 
##     -161, -157, -172, -166, -163, -160, -146, -126, -125, -127, 
##     -128, -109, -82, -62, -73, -71, -50, -41, -59, -97, -118, 
##     -112, -87, -80, -57, -63, -83, -96, -100, -131, -133, -142, 
##     -163, -173, -185, -182, -176, -156, -151, -138, -132, -116, 
##     -82, -94, -93, -61, -67, -64, -56, -79, -68, -56, -56, 196, 
##     190, 155, 151, 154, 170, 209, 209, 183, 169, 165, 150, 131, 
##     102, 90, 69, 55, -6, -6, 18, 99, 140, 163, 191, 192, 196, 
##     195, 198, 189, 187, 182, 158, 157, 158, 177, 215, 216, 211, 
##     209, 110, 99, 32, 20, -29, -4, 87, 109, 153, 159, 156, 159, 
##     159, 161, 162, 158, 161, 160, 161, 162, 207, 220, 211, 215, 
##     170, 159, 84, 82, 78, 57, 64, 37, 29, 9, 2, 12, 9, 10, 27, 
##     145, 156, 158, 162, 157, 154, 150, 145, 113, 104, 49, 27, 
##     20, 51, 62, 81, 153, 162, 177, 180, 193, 196, 197, 192, 190, 
##     177, 146, 136, 109, 101, 62, 44, 40, 3, -13, 23, 25, 33, 
##     92, 143, 150, 164, 178, 169, 166, 167, 163, 166, 156, 116, 
##     99, 79, 43, -12, -16, -3, 10, 36, 51, 54, 81, 86, 115, 129, 
##     136, 153, 156, 150, 153, 159, 163, 155, 154, 154, 156, 153, 
##     152, 128, 106, 89, 65, 0, 8, 154, 149, 143, 124, 111, 103, 
##     42, 34, 18, -12, -7, 15, 24, 27, 84, 91, 131, 132, 138, 136, 
##     136, 134, 157, 156, 159, 160, 159, 147, 128, 120, 103, 94, 
##     74, 65, 56, 56, 53, 23, 12, 28, 42, 103, 114, 141, 148, 139, 
##     147, 143, 139, 137, 131, 118, 106, 77, 75, 70, 52, 40, -6, 
##     1, 21, 22, 28, 37, 83, 111, 137, 144, 130, 139, 140, 140, 
##     145, 144, 149, 146, 76, 67, 49, 43, 41, 20, 126, 120, 94, 
##     70, 52, 45, 45, 30, 7, 5, 15, 17, 23, 122, 120, 115, 123, 
##     123, 123, 126, 122, 119, 126, 134, 131, 132, 130, 131, 128, 
##     127, 133, 127, 129, 128, 134, 135, 134, 129, 131, 129, 128, 
##     130, 131, 128, 130, 127, 124, 123, 135, 131, 132, 131, 130, 
##     132, 137, 140, 138, 136, 138, 130, 120, 114, 104, 115, 115, 
##     118, 133, 140, 137, 133, 131, 137, 134, 126, 125, 129, 125, 
##     124, 130, 127, 128, 129, 128, 133, 134, 123, 128, 130, 129, 
##     129, 133, 133, 133, 138, 137, 130, 131, 128, 124, 126, 129, 
##     132, 128, 131, 132, 131, 130, 134, 130, 128, 128, 126, 130, 
##     128, 131, 133, 131, 130, 129, 130, 128, 127, 131, 133, 126, 
##     132, 138, 150, 151, 178, 175, 190, 191, 182, 180, 179, 173, 
##     164, 156, 161, 164, 168, 159, 159, 163, 172, 237, 262, 281, 
##     240, 198, 168, 164, 161, 117, 91, 62, 52, -24, 0, 15, 17, 
##     29, 56, 59, 53, 104, 182, 222, 212, 236, 276, 281, 240, 280, 
##     288, 56, 37, 10, -49, -20, 37, 49, 64, 153, 212, 232, 269, 
##     279, 275, 238, 270, 275, 250, 252, 265, 253, 245, 232, 229, 
##     171, 155, 131, 100, 51, 20, 1, -32, -9, 43, 111, 130, 186, 
##     157, 267, 245, 232, 266, 260, 228, 243, 242, 237, 278, 272, 
##     246, 243, 233, 182, 154, 115, 33, 0, 255, 240, 96, 96, 61, 
##     33, 2, -16, -34, -18, -17, 21, 31, 81, 172, 205, 216, 218, 
##     268, 239, 239, 234, 215, 152, 26, 15, -6, -42, -44, -47, 
##     -51, -66, -65, -58, -65, -94, -109, -122, -119, -117, -115, 
##     -120, -117, -112, -112, -115, -105, -98, -99, -83, -98, -77, 
##     -56, -42, -67, -41, -51, -46, -44, -53, -52, -69, -70, -69, 
##     -67, -64, -66, -68, -50, -56, -60, -54, -71, -82, -100, -115, 
##     -109, -105, -133, -123, -119, -122, -120, -112, -102, -94, 
##     -87, -65, -71, -63, -60, -28, -37, -34, -67, -61, -67, -86, 
##     -66, -77, -79, -82, -81, -70, -76, -81, -84, -83, -138, -135, 
##     -127, -128, -136, -128, -131, -82, -54, -61, -66, -46, -49, 
##     -62, -64, -64, -67, -58, -61, -54, -55, -66, -65, -77, -77, 
##     -72, -101, -98, -138, -143, -141, -129, -124, -131, -135, 
##     -135, -154, -154, -147, -149, -144, -138, -134, -135, -136, 
##     -141, -140, -125, -121, -112, -91, -89, 16, 55, 48, -1, -19, 
##     -42, -39, -16, -21, -29, -26, -33, -40, -52, -51, 0, 7, 10, 
##     -5, -11, -16, -17, -15, -14, -14, -17, -19, -38, -46, -48, 
##     -51, -49, -49, -59, -58, -55, -52, -29, -5, -4, -23, -28, 
##     -31, -53, -55, -58, -67, -78, -100, -135, -154, -170, -166, 
##     -183, -172, -178, -169, -172, -165, -157, -157, -130, -103, 
##     -101, -72, -20, -18, -20, -14, -8, -22, -30, -29, -50, -82, 
##     -85, -104, -119, -126, -140, -150, -167, -190, -194, -205, 
##     -208, -197, -162, -135, -131, -127, -98, -20, 9, -4, 12, 
##     17, 18, 14, 5, -2, -2, -17, -41, -6, -22, -38, -30, -27, 
##     -11, -20, -24, -48, -69, -80, -100, -112, -118, -134, -147, 
##     -182, -192, -203, -197, -200, -192, -174, -167, 21, -22, 
##     -21, -16, -15, -79, -95, -108, -155, -136, -108, -87, -77, 
##     -47, -21, -6, 13, 35, 45, 1, -8, -8, -15, -6, 1, -3, -11, 
##     -3, -23, -13, -84, -90, -43, -32, -22, -56, -57, -58, -63, 
##     -63, -57, -52, -47, -38, -33, -31, -20, -17, 60, 34, 27, 
##     4, -74, -86, -110, -217, -210, -183, -64, 35, 79, 59, 46, 
##     38, 12, -19, 48, 62, 46, 96, 86, 43, 34, 30, 24, 16, 16, 
##     19, 40, 57, 57, 51, 58, 51, 56, 58, 8, -17, -59, -108, -34, 
##     -14, 49, 40, 44, 52, 53, 53, 46, 22, -11, -11, -3, 10, 14, 
##     18, 49, 75, 17, -9, -19, -35, -42, -76, -240, -223, -185, 
##     -118, -113, -35, 36, 71, 54, 54, -46, 4, 49, 82, 96, 89, 
##     48, 36, 37, 66, 47, 14, 11, 4, -196, -144, -100, -81, -26, 
##     34, 47, 54, 58, 52, 40, 26, 29, 30, 38, 46, 21, 41, 4, 7, 
##     -3, 72, 64, 56, 43, 41, 21, -9, -24, -95, -213, -286, 7, 
##     6, 8, 1, 3, -9, 29, 20, 14, 10, 16, 25, 16, 18, 14, 18, 17, 
##     18, 13, 17, 21, 20, 20, 14, 15, 9, 3, -18, -37, 82, 188, 
##     196, 221, 216, 189, 251, 263, 257, 272, 265, 258, 239, 228, 
##     241, 247, 153, 156, 104, -33, -13, 33, 59, 73, 134, 136, 
##     197, -67, -62, -59, -60, -59, -25, -21, -35, -59, -64, -70, 
##     -65, -56, -23, -44, -44, -44, 6, 38, 54, 56, 103, 158, 198, 
##     187, 218, 201, 193, 227, 280, 283, 248, 261, 261, 259, 246, 
##     228, 215, 205, 160, 59, -1, 20, 25, 41, 84, 72, 145, 208, 
##     170, 85, 54, 31, 7, -3, 1, 16, 27, 72, 101, 141, 163, 186, 
##     253, 191, 296, 270, 130, 133, 129, 128, 133, 135, 129, 134, 
##     134, 126, 126, 131, 128, 129, 4, 43, 97, 105, 118, 129, 132, 
##     128, 124, 132, 141, 148, 134, 133, 19, 24, 72, 144, 161, 
##     162, 168, 175, 185, 195, 197, 195, 192, 187, 183, 178, 175, 
##     168, 166, 175, 182, 188, 178, 177, 172, 171, 163, 157, 156, 
##     -202, -189, -126, -119, 41, 62, 96, 88, 76, 58, 16, -9, -33, 
##     -13, -13, -2, 8, -2, -2, 11, 11, 37, 38, 60, 63, 75, 71, 
##     86, -44, -56, -76, -218, -251, 49, 47, 43, 47, 14, 76, 79, 
##     81, 71, 2, -7, -83, -125, -188, -194, -102, 33, 41, 54, 79, 
##     74, 34, -38, -68, -101, -111, -167, -213, -7, 47, 62, 69, 
##     59, 69, 25, 16, 15, 25, 23, 7, 2, -16, -36, -79, -113, -103, 
##     -96, -83, -35, 51, 99, 115, 179, 197, 180, 174, 169, 168, 
##     156, 153, 153, 158, 140, 112, 73, 48, 32, 31, 14, -46, -58, 
##     -104, -92, -102, -110, -101, -106, -86, -77, -62, -40, -8, 
##     67, -10, 18, 62, 75, 69, 85, 100, 141, 150, 152, 133, 140, 
##     138, 137, 139, 138, 137, 128, 124, 122, 123, 121, -37, -6, 
##     0, -12, -12, -4, -81, -124, -125, -132, -139, -162, -182, 
##     -181, -184, -163, -164, -152), accel_arm_z = c(-126, -123, 
##     -122, -124, -123, -123, -124, -122, -124, -122, -125, -124, 
##     -123, -123, -123, -126, -125, -127, -126, -126, -124, -124, 
##     -122, -125, -124, -123, -123, -124, -123, -125, -125, -122, 
##     -124, -125, -124, -123, -125, -121, -123, -124, -125, -122, 
##     -122, -123, -122, -122, -124, -125, -121, -123, -122, -123, 
##     -123, -124, -121, -123, -125, -125, -123, -123, -122, -122, 
##     -124, -125, -120, -121, -124, -124, -123, -122, -122, -122, 
##     -122, -122, -123, -122, -123, -120, -124, -123, -124, -122, 
##     -122, -124, -122, -122, -124, -123, -122, -121, -122, -121, 
##     -122, -124, -122, -122, -121, -120, -122, -122, -122, -87, 
##     -87, -86, -90, -88, -88, -88, -86, -86, -85, -87, -88, -88, 
##     -89, -87, -88, -88, -85, -86, -88, -84, -89, -88, -88, -89, 
##     -90, -91, 23, 24, 21, 23, 24, 24, 24, 24, 24, 25, 25, 35, 
##     35, 28, 29, 27, 27, 25, 25, 25, 26, 27, 26, 28, 29, 24, 25, 
##     25, 25, 25, 23, 22, 25, 23, 26, 29, 35, 41, 57, 61, 67, 77, 
##     86, 115, 125, 133, 150, 151, 163, 146, 154, 74, 77, 70, 8, 
##     -89, -97, -71, -59, -28, -33, 45, 55, 82, 114, 102, 135, 
##     84, 189, 169, 127, 66, 63, 60, 70, 68, 73, 94, 136, 151, 
##     147, 159, 148, 149, 147, 137, 8, -85, -109, -134, -158, -158, 
##     -119, -34, 10, 24, 22, 51, 51, 87, 78, 97, 126, 129, 97, 
##     63, 41, -28, -64, -136, -85, -63, -40, 83, 108, 108, 148, 
##     159, 106, 100, 101, 84, 77, 70, 52, 45, 50, 51, 70, 73, 76, 
##     86, 111, 110, 128, 142, 143, 145, 145, 140, 120, 112, 94, 
##     57, -91, -103, -137, -137, 85, 117, 125, 141, 133, 124, 114, 
##     100, 117, 97, 70, 69, 60, 61, 69, 65, 73, 80, 100, 127, 135, 
##     153, 159, 163, 140, 123, 142, 102, 130, 110, 115, 99, 91, 
##     78, 75, 67, 76, 75, 92, 96, 116, 125, 163, 150, 150, 148, 
##     124, 103, 84, -66, -136, -105, -55, -55, -47, -12, 43, 66, 
##     89, 103, 84, 144, 126, 147, 141, 139, 113, 99, 105, 106, 
##     94, 90, 88, 74, 86, 94, 102, 109, 121, 141, 146, 146, 120, 
##     9, -62, -92, -87, -87, -23, 37, 84, 85, 101, 154, 167, 144, 
##     144, 120, 101, 84, 76, 62, 22, -7, -91, -121, -126, -64, 
##     -35, 76, 65, 68, 77, 92, 103, 146, 71, -56, -24, 0, 40, 82, 
##     153, 144, 140, 127, 84, -136, -129, -132, -127, -84, -47, 
##     8, 132, 97, 154, 144, 115, 114, 97, -121, -87, -77, -49, 
##     -35, 4, -1, 16, 26, 29, 43, 46, 46, 51, 41, 36, 27, 15, 10, 
##     18, 25, 21, 19, 17, 11, 13, 9, 12, 10, 10, 11, 14, 17, 19, 
##     22, 24, 31, 25, 27, 24, 20, 14, 17, 17, 25, 18, 18, 23, 16, 
##     11, 10, 7, 3, 4, 3, 1, -19, -17, -23, -29, -28, -27, -30, 
##     -26, -31, -25, -26, -27, -23, -23, -26, -27, -28, -30, -26, 
##     -28, -30, -31, -32, -30, -30, -34, -30, -34, -33, -37, -39, 
##     -37, -36, -37, -36, -38, -40, -37, -35, -36, -35, -35, -39, 
##     -40, -37, -37, -38, -37, -37, -37, -35, -43, -45, -44, -40, 
##     -43, -41, -39, -39, -39, -40, -40, -38, -39, -46, -45, -47, 
##     -50, -43, -45, -42, -44, -44, -42, -40, -40, -38, -34, -45, 
##     -37, -34, 37, 55, 71, 88, 49, 55, 45, 32, -46, -106, -29, 
##     -25, -25, -24, -25, -29, -25, -28, -24, -20, -20, -17, -10, 
##     -8, -8, -7, -9, -10, -12, -5, 3, 13, 7, 11, -129, -129, -139, 
##     -139, -133, -139, -145, -148, -146, -144, 10, 9, 9, 10, 11, 
##     11, 13, 11, 11, 11, 12, 11, 8, 8, 7, 10, 6, 5, 7, 12, 9, 
##     2, 6, 5, 5, 5, 4, 5, 9, 8, 5, 3, 4, 7, 5, 1, 3, 3, 7, 9, 
##     5, 1, -1, 7, 10, 9, 2, 19, 15, 0, 13, 12, 18, 19, 18, 7, 
##     8, 10, 11, 8, 11, 7, 8, 12, 15, 12, 9, 10, 12, 7, 2, 1, 5, 
##     6, 7, 8, 5, 2, 2, 2, 1, 9, 0, 3, 8, 5, 0, 7, -1, -25, -29, 
##     -29, -33, -32, -32, -32, -31, -34, -33, -28, -28, -30, -28, 
##     -30, -33, -35, -35, -35, -38, -35, -32, -32, -31, -25, -23, 
##     -24, -30, -27, -36, -33, -33, -35, -37, -38, 23, 19, -44, 
##     -40, -52, -86, -99, -118, -128, -148, -199, -206, -209, -211, 
##     -210, -216, -218, -187, -167, -77, -65, -26, 34, 69, 48, 
##     66, 74, 68, 74, 70, 61, 57, 45, 44, 21, 31, 27, 13, -1, -18, 
##     -19, -22, -25, -13, 61, 60, -201, -184, -173, -164, -147, 
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##     -49, -50, -50, -52, -33, -34, -14, 26, 30, 39, 62, 64, 67, 
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##     -24, -38, -48, -33, -37, -43, -39, -41, -33, -15, 18, 50, 
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##     -36, -2, -13, -27, -26, -32, -31, -21, -17, 22, 28, 39, 39, 
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##     -41, -34, -43, -31, -50, -48, -61, -67, 63, 67, 1, -2, 6, 
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##     -30, -46, -58, -59, -40, -43, -27, -45, -35, 3, 40, 42, 41, 
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##     -52, -54, -61, -70, -54, -56, -38, -32, -34, -34, -30, 29, 
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##     -322, -286, -240, -163, -67, 9, 5, 32, 76, 108, 93, 59, 55, 
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##     -275, -301, -316, -323, -310, 26, 25, 21, -39, -54, -38, 
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##     -268, -257, -226, -212, -205, -193, -164, -133, -90, -16, 
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##     -305, -287, -261, -259, -253, -215, -105, -45, -33, -34, 
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##     -59, -50, -40, -33, -31, -26, -22, -7, -2, 42, 52, 51, 46, 
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##     -82, -80, -32, -26, -9, 16, 37, 38, 58, 49, 50, 49, 53, 45, 
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##     -28, -23, -32, -10, -11, 7, 16, 18, 29, 34, 51, 44, 43, 43, 
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##     -107, -113, -115, -126, -135, -143, -145, -148, -141, -145, 
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##     147, 139, 135, 82, 153, 155, 159, 120, 87, 78, 68, 35, 28, 
##     91, 118, 150, 122, 98, 32, 21, 43, 77, 95, 112, 94, 85, 113, 
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##     -357, -344, -274, -213, -193, -174, -169, -119, -102, 13, 
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##     -220, -248, -346, -328, -287, -278, -277, -162, -177, -202, 
##     -214, -277, -328, -336, -267, -118, -78, -59, -47, 8, 35, 
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##     -60, -82, -50, -34, 35, 45, 69, -20, 11, 37, 60, 81, 98, 
##     133, 102, 145, 148, 142, 131, 132, 115, 119, 91, 29, 31, 
##     34, 37, 60, 111, 84, 114, 142, 159, 117, 130, 165, 83, 51, 
##     63, 53, 89, 118, 111, 174, 155, 215, 218, 200, 176, 149, 
##     147, 153, 146, 155, 151, 164, 175, 173, 174, 171, 149, 144, 
##     146, 132, 119, 41, -100, 65, 68, 111, 155, 131, 131, 160, 
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##     104, 23, -89, -170, -186, -194, -150, -101, -66, -55, -4, 
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##     -160, -120, 19, 95, 104, -233, -143, -115, -77, -22, -16, 
##     24, 53, 87, 60, 98, 130, 136, 132, 198, 214, 199, 183, 158, 
##     156, 157, 167, 179, 168, 160, 150, 127, 118, 115, 86, 17, 
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##     194, 30, -134, -155, -167, -174, -136, -138, -35, 40, 40, 
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##     183, 194, 192, 194, 108, 111, 81, 72, 42, -130, -113, -86, 
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##     -110, -110, -97, -85, -77, 4, 15, 21, 15, 13, -26, -29, -194, 
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##     -116, -117, -110, -98, -88, -51, -37, -28, 2, 14, 14, -25, 
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##     -226, -215, -200, -165, -33, -54, 3, -12, 0, -17, -17, -34, 
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##     -123, -111, -70, -6, -14, -13, -19, -31, -48, -64, -64, -45, 
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##     -99, -98, -92, -86, -77, -66, -55, -53, -42, -17, 14, 18, 
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##     -253, -194, -170, -140, -87, -54, -35, 35, 45, 39, -160, 
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##     -144, -148, -151, -150, -152, -153, -150, -154, -149, -149, 
##     -152, -151, -150, -151, -153, -152, -157, -157, -156, -153, 
##     -156, -157, -155, -157, -156, -155, -156, -158, -156, -152, 
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##     159, 83, 54, -72, -321, -387, 16, 16, 22, 13, 11, 16, -1, 
##     4, 8, -1, 6, 3, 17, 34, 36, 37, 45, 48, 42, 37, 42, 42, 37, 
##     43, 34, 40, 29, -441, -407, -211, -116, 22, 43, -152, -60, 
##     -31, -37, -30, -49, -40, -34, -33, -43, -9, -5, -57, -110, 
##     -145, -439, -387, -289, -212, -193, -167, -64, -81, 72, 62, 
##     59, 69, 27, 48, 54, 44, 25, 24, 32, 49, 63, 68, 61, 63, 57, 
##     -379, -295, -277, -244, -135, -87, -123, -96, -102, -93, 
##     -13, -78, -22, -29, -19, -3, 13, 1, 10, 8, -11, -46, -56, 
##     -211, -418, -435, -410, -317, -302, -158, -208, -17, -63, 
##     -215, -246, -360, -466, -483, -400, -378, -307, -279, -134, 
##     -148, -25, -33, -67, 58, -36, -34, -34, -30, -35, -37, -31, 
##     -34, -30, -32, -25, -36, -30, -29, -28, -26, -453, -291, 
##     -45, -47, -11, 22, 27, 31, 49, 66, 67, 76, 87, 87, -375, 
##     -354, -240, -76, -13, -24, 21, 14, 20, 72, 73, 73, 69, 67, 
##     65, 57, 50, -14, -9, -40, -46, -48, -61, -70, -106, -100, 
##     -112, -130, -153, -179, -178, -113, -65, 186, 131, 167, 145, 
##     148, 139, 86, 69, 18, 16, 33, 27, 7, 7, 9, 82, 96, 135, 142, 
##     188, 194, 220, 220, 202, -27, -40, -71, -330, -368, 130, 
##     134, 129, 124, 145, 210, 199, 211, 210, 106, 84, -136, -194, 
##     -320, -236, -126, 135, 157, 163, 203, 198, 142, 1, -46, -127, 
##     -181, -289, -319, 33, 127, 182, 136, 163, 138, 114, 113, 
##     106, 98, 93, 78, 75, -270, -315, -473, -526, -503, -483, 
##     -469, -289, -193, -118, -79, -6, 20, 34, 51, 54, 48, 38, 
##     38, 36, 46, 59, 26, -44, -104, -132, -145, -193, -333, -371, 
##     -527, -472, -475, -462, -440, -422, -395, -383, -339, -304, 
##     -258, -145, -203, -173, -128, -107, -59, -80, -14, -33, 22, 
##     27, -9, -24, -30, -34, -49, -60, -64, -63, -77, -82, -86, 
##     -85, -2, 87, 144, 122, 115, 90, -14, -250, -266, -283, -302, 
##     -347, -421, -432, -415, -406, -359, -365), magnet_arm_x = c(-368, 
##     -372, -369, -376, -366, -363, -372, -371, -373, -369, -373, 
##     -375, -373, -370, -366, -371, -366, -368, -375, -369, -369, 
##     -363, -369, -375, -370, -373, -367, -370, -366, -372, -371, 
##     -365, -370, -369, -368, -368, -374, -369, -365, -363, -363, 
##     -364, -371, -371, -368, -369, -367, -368, -376, -372, -367, 
##     -373, -368, -370, -365, -369, -367, -372, -365, -368, -371, 
##     -369, -367, -358, -365, -370, -363, -362, -365, -361, -358, 
##     -365, -365, -369, -372, -362, -362, -363, -361, -374, -367, 
##     -368, -367, -369, -365, -372, -367, -361, -367, -369, -361, 
##     -367, -367, -369, -373, -366, -364, -362, -372, -363, -367, 
##     -432, -432, -426, -436, -428, -429, -426, -427, -427, -437, 
##     -435, -436, -438, -429, -430, -434, -425, -429, -432, -429, 
##     -435, -424, -431, -426, -429, -428, -427, -418, -416, -423, 
##     -419, -416, -417, -417, -419, -411, -410, -415, -412, -416, 
##     -407, -397, -397, -397, -396, -401, -403, -401, -405, -404, 
##     -405, -408, -410, -413, -415, -408, -412, -423, -414, -416, 
##     -418, -416, -408, -405, -385, -359, -360, -332, -262, -232, 
##     -124, -72, -16, 105, 195, 207, 280, 326, 683, 713, 722, 740, 
##     738, 728, 734, 745, 743, 743, 694, 651, 640, 572, 537, 464, 
##     376, 350, 14, -101, -387, -412, -422, -402, -398, -391, -327, 
##     -84, 238, 266, 339, 388, 453, 590, 607, 745, 742, 738, 734, 
##     737, 730, 735, 748, 743, 736, 729, 709, 695, 664, 614, 352, 
##     470, 489, 618, 718, 729, 743, 744, 718, 743, 744, 739, 645, 
##     601, 555, 475, 391, 66, -111, -192, -296, -307, -325, -370, 
##     -393, -415, -405, -390, -380, -344, -312, -234, -177, -70, 
##     -18, 267, 298, 398, 517, 533, 576, 636, 703, 736, 720, 716, 
##     716, 590, 491, 401, 334, 314, 117, 101, -38, -94, -217, -311, 
##     -330, -366, -372, -377, -374, -376, -361, -338, -256, -152, 
##     67, 192, 227, 272, 250, 169, 84, 46, 4, -75, -168, -252, 
##     -280, -387, -385, -380, -375, -345, -310, -224, -163, 96, 
##     145, 232, 264, 496, 638, 701, 743, 734, 736, 743, 742, 743, 
##     722, 686, 666, 647, 623, 589, 374, 318, 74, 49, -20, -116, 
##     -251, -271, -295, -325, -327, -341, -355, -335, -313, -277, 
##     -241, -208, -148, -64, 373, 582, 732, 744, 744, 750, 747, 
##     730, 714, -333, -327, -279, -109, -84, 209, 271, 537, 643, 
##     674, 695, 725, 736, 731, 740, 735, 743, 751, 743, -354, -357, 
##     -352, -321, -273, -264, -23, 702, 731, 731, 735, 689, 677, 
##     340, 464, 491, 630, 711, 723, 718, 730, 729, 738, 737, 710, 
##     562, 501, 229, 173, 117, 83, -123, 206, 212, 213, 210, 184, 
##     158, 125, 108, 86, 68, 39, 35, -12, -45, -88, -103, -107, 
##     -149, -168, -176, -185, -192, -191, -190, -188, -178, -169, 
##     -166, -161, -155, -131, -137, -130, -130, -110, -103, -94, 
##     -74, -83, -80, -72, -80, -79, -96, -115, -124, -137, -155, 
##     -154, -158, -172, -181, -181, -187, -206, -208, -285, -314, 
##     -319, -318, -323, -314, -312, -309, -309, -303, -308, -306, 
##     -307, -299, -306, -302, -303, -306, -316, -318, -316, -323, 
##     -319, -323, -324, -321, -330, -324, -326, -330, -331, -330, 
##     -330, -332, -328, -333, -327, -331, -329, -327, -330, -337, 
##     -337, -330, -328, -330, -334, -327, -335, -332, -331, -336, 
##     -337, -339, -337, -343, -335, -335, -340, -331, -335, -338, 
##     -337, -337, -336, -334, -336, -335, -336, -334, -335, -325, 
##     -321, -319, -317, -317, -319, -307, -374, -364, -359, -205, 
##     -107, 2, 84, 245, 320, 485, 565, 686, 726, -306, -297, -292, 
##     -292, -294, -294, -294, -287, -285, -288, -292, -288, -283, 
##     -278, -282, -260, -246, -218, -214, -198, -180, -179, -170, 
##     -168, 99, 113, 131, 130, 140, 146, 150, 170, 176, 178, -164, 
##     -165, -161, -161, -159, -156, -160, -165, -157, -165, -168, 
##     -158, -167, -164, -170, -172, -171, -166, -170, -172, -168, 
##     -168, -162, -170, -167, -167, -174, -180, -176, -181, -173, 
##     -175, -182, -176, -181, -173, -181, -182, -172, -173, -174, 
##     -177, -178, -195, -192, -194, -184, -193, -194, -191, -192, 
##     -185, -198, -198, -190, -181, -191, -186, -194, -187, -186, 
##     -188, -197, -189, -198, -195, -196, -188, -192, -185, -179, 
##     -183, -171, -174, -175, -173, -175, -174, -172, -172, -163, 
##     -160, -147, -138, -134, -136, -113, -89, -74, -325, -328, 
##     -328, -329, -329, -329, -331, -328, -333, -328, -333, -336, 
##     -331, -330, -331, -341, -339, -340, -342, -336, -337, -336, 
##     -329, -323, -323, -316, -310, -307, -310, -309, -311, -299, 
##     -311, -309, -306, 616, 646, 705, 734, 743, 756, 760, 759, 
##     759, 756, 730, 727, 715, 716, 714, 707, 705, 747, 749, 756, 
##     751, 724, 577, 483, 412, 374, 322, 242, 201, 188, 164, 35, 
##     23, -6, -80, -151, -162, -197, -227, -253, -250, -255, -263, 
##     -264, -241, -197, 726, 730, 738, 753, 766, 758, 761, 735, 
##     719, 693, 617, 514, 463, 419, 267, 217, 84, 60, -8, -68, 
##     -196, -234, -240, -251, -258, -233, 162, 216, 289, 374, 487, 
##     639, 666, 708, 752, 756, 744, 742, 744, 736, 731, 747, 728, 
##     729, 733, 732, 741, 757, 762, 762, 751, 731, 655, 612, 428, 
##     394, 332, 219, 106, 87, 61, 42, 15, -101, -183, -220, -239, 
##     -248, -266, -265, -269, -271, -277, -279, -287, -287, -274, 
##     -140, -102, -54, -38, 325, 745, 760, 765, 757, 756, 751, 
##     741, 741, 753, 760, 760, 763, 716, 705, 678, 664, 596, 582, 
##     182, 112, 21, -159, -181, -223, -293, -290, -288, -293, -283, 
##     -275, -192, 59, 168, 494, 684, 675, 444, 361, 284, 138, 108, 
##     -37, -97, -197, -222, -228, -246, -251, -280, -289, -296, 
##     -286, -142, -95, -63, -2, 87, 125, 184, 344, 552, 626, 725, 
##     745, 756, 762, 759, 746, 739, 746, 734, 733, 737, 739, 732, 
##     738, 730, 739, 741, 753, 741, 719, 662, 639, 618, 519, 427, 
##     391, 370, 241, 216, 187, 169, 136, 122, 757, 751, 743, 744, 
##     738, 738, 731, 739, 739, 740, 739, 739, 745, 737, 739, 746, 
##     756, 756, 760, 761, 753, 742, 741, -306, -340, -334, -340, 
##     -336, -344, -341, -345, -336, -334, -341, -336, -335, -340, 
##     -330, -332, -338, -331, -336, -338, -337, -328, -332, -330, 
##     -331, -335, -329, -331, -330, -330, -339, -339, -336, -338, 
##     -342, -341, -344, -343, -339, -337, -344, -343, -332, -343, 
##     -339, -341, -339, -342, -341, -335, -330, -331, -336, -334, 
##     -329, -334, -331, -329, -330, -334, -323, -331, -329, -331, 
##     -339, -331, -333, -331, -335, -332, -327, -333, -329, -332, 
##     -333, -336, -338, -330, -336, -325, -327, -330, -326, -332, 
##     -330, -335, -336, -337, -330, -330, -336, -330, -334, -335, 
##     -341, -343, -355, -359, -364, -362, -357, -359, -357, -353, 
##     -358, -353, -355, -361, -363, -369, -361, -372, -366, -370, 
##     -374, -371, -364, -344, -309, -181, -84, 89, 250, 358, 378, 
##     441, 522, 649, 690, 708, 728, 733, 717, 625, -248, -316, 
##     -334, -354, -360, -373, -365, -367, -366, -368, -360, -339, 
##     -322, -189, -148, 27, 480, 642, 687, 710, 727, 721, 595, 
##     576, 509, 498, 461, 494, 518, 551, 695, 736, 744, 736, 724, 
##     -364, -374, -367, -366, -354, -346, -339, -329, -247, -212, 
##     -99, 154, 245, 343, 402, 719, 737, 643, 602, 569, 535, 543, 
##     567, 592, 696, 728, 731, 712, 693, 649, 539, 464, 483, 482, 
##     561, 641, 659, 683, 734, 715, 694, 426, 343, 21, -116, -207, 
##     -244, -303, -380, -388, -378, -368, -312, -272, -96, 27, 
##     494, 518, 592, 637, 685, 724, 741, 732, 589, 516, 550, 641, 
##     704, 744, 730, 717, 677, 647, 609, 585, 522, 255, 153, 76, 
##     -88, -265, -283, -333, -355, -358, -363, -374, -384, -388, 
##     -390, -392, -390, -387, -377, -375, -377, -332, -142, -104, 
##     433, 527, 698, 729, 727, 705, 635, 575, 527, 507, 502, 518, 
##     539, 552, -275, -328, -346, -348, -365, -382, -396, -394, 
##     -399, -389, -364, -330, -323, -294, -236, -112, -50, 154, 
##     262, 596, 658, 734, 680, 483, 498, 733, 741, 602, 583, 463, 
##     402, 222, 201, 74, 50, -11, -98, -222, -286, -352, -402, 
##     -410, -413, -409, -400, -372, -356, -303, -205, -150, 25, 
##     363, 459, 711, 725, 701, 679, 476, 585, 717, 730, 740, 732, 
##     659, 601, 586, 456, 152, -326, -347, -408, -406, -409, -68, 
##     12, 171, 209, 334, 419, 503, 661, 724, 732, 732, 661, 621, 
##     520, 476, 521, 546, -430, -424, -435, -426, -414, -414, -423, 
##     -419, -420, -422, -428, -426, -435, -423, -421, -424, -422, 
##     -424, -421, -421, -422, -427, -426, -429, -426, -431, -437, 
##     -434, -434, -430, -436, -428, -430, -437, -435, -437, -436, 
##     -437, -425, -423, -433, -421, -421, -420, -420, -424, -431, 
##     -419, -422, -423, -422, -417, -424, -424, -424, -421, -422, 
##     -423, -427, -426, -429, -425, -428, -423, -423, -429, -423, 
##     -424, -424, -423, -421, -423, -413, -424, -422, -417, -420, 
##     -425, -422, -424, -424, -420, -423, -417, -422, -424, -423, 
##     -423, -425, -425, -422, -425, -422, -426, -428, -432, -427, 
##     -432, -427, -427, -430, -426, -422, -422, -428, -422, -423, 
##     -421, -425, -419, -431, -426, -429, -418, -418, -417, -423, 
##     -420, -422, -429, -431, -426, -432, -426, -424, -427, -425, 
##     -425, -419, -426, -420, -432, -430, -428, -422, -423, -423, 
##     -421, -431, -425, -422, -422, -426, -419, -416, -425, -417, 
##     -421, -417, -424, -423, -417, -416, -424, -420, -422, -419, 
##     -424, -420, -418, -422, -417, -422, -417, -423, -410, -418, 
##     -421, -419, -423, -418, -420, -433, -426, -419, -423, -422, 
##     -434, -427, -412, -415, -412, -414, -426, -426, -426, -430, 
##     -419, -409, -418, -425, -416, -419, -421, -424, -419, -421, 
##     -405, -407, -402, -408, -410, -414, -416, -410, -407, -408, 
##     -412, -412, -416, -412, -413, -366, -363, -364, -365, -360, 
##     -362, -363, -360, -366, -366, -375, -368, -366, -366, -367, 
##     -365, -363, -367, -362, -366, -362, -368, -371, -360, -364, 
##     -361, -367, -368, -367, -366, -367, -374, -368, -374, -365, 
##     -365, -373, -366, -369, -366, -363, -371, -368, -368, -367, 
##     -369, -367, -366, -367, -372, -365, -370, -369, -369, -361, 
##     -367, -373, -367, -368, -368, -366, -368, -368, -369, -369, 
##     -368, -366, -368, -368, -367, -371, -372, -369, -374, -368, 
##     -368, -367, -368, -364, -360, -362, -372, -372, -373, -377, 
##     -375, -364, -370, -377, -375, -375, -374, -373, -372, -375, 
##     -376, -372, -370, -368, -375, -369, -366, -369, -373, -374, 
##     -373, -373, -367, -367, -368, -370, -372, -371, -368, -368, 
##     -372, -374, -368, -367, -366, -369, -363, -368, -363, -360, 
##     -367, -363, -368, -363, -369, -366, -365, -368, -365, -370, 
##     -375, -372, -373, -373, -374, -369, -369, -364, -374, -373, 
##     -368, -367, -371, -367, -369, -362, -363, -369, -362, -363, 
##     -361, -362, -365, -360, -360, -362, -361, -364, -361, -354, 
##     -358, -354, -353, -360, -357, -359, -353, -356, -353, -353, 
##     -350, -349, -357, -357, -358, -358, -348, -339, -341, -335, 
##     -336, -233, -162, -154, -103, 49, 79, 99, 168, 227, 324, 
##     384, 443, 609, 671, 710, 726, 747, 744, 709, 679, 607, 611, 
##     615, 640, 653, 700, 751, 758, 754, 729, 708, 596, 560, 545, 
##     336, 271, 78, 53, -37, -66, -168, -184, -248, -277, -345, 
##     -359, -341, -198, -132, 129, 267, 366, 388, 517, 565, 659, 
##     695, 755, 762, 743, 742, 722, 699, 687, 658, 641, 648, 746, 
##     755, 766, 690, 560, 396, 188, 761, 666, 663, 693, 716, 735, 
##     762, 764, 749, 721, 662, 571, 507, 433, 355, 131, 47, -7, 
##     -263, -334, -348, -369, -361, -330, -278, -209, -5, 100, 
##     165, 614, 670, 705, 724, 749, 760, 766, 717, 665, 663, 663, 
##     685, 697, 697, 715, 765, 767, 764, 758, 748, 674, 528, 363, 
##     195, -9, -110, -129, -165, -223, -346, -361, -363, -236, 
##     -7, 57, 203, 447, 471, 520, 631, 684, 739, 757, 678, 673, 
##     669, 675, 724, 752, 761, 772, 727, 661, 629, 498, 390, 309, 
##     276, 223, 144, 69, 20, -51, -183, -236, -287, -379, -429, 
##     -433, -428, -415, -400, -357, 233, 520, 554, 686, 762, 769, 
##     761, 754, 736, 698, 694, 710, 738, -405, -411, -422, -423, 
##     -421, -416, -421, -417, -423, -415, -409, -405, -407, -408, 
##     -407, -408, -415, -410, -415, -415, -418, -412, -415, -410, 
##     -405, -403, -411, -413, -408, -408, -409, -411, -410, -407, 
##     -407, -411, -405, -407, -403, -412, -403, -405, -411, -404, 
##     -415, -410, -412, -418, -409, -410, -410, -408, -405, -411, 
##     -410, -409, -413, -416, -409, -410, -413, -404, -415, -412, 
##     -408, -406, -410, -410, -414, -422, -410, -407, -408, -407, 
##     -410, -408, -412, -407, -410, -412, -405, -410, -408, -408, 
##     -409, -407, -408, -407, -407, -405, -409, -412, -407, -414, 
##     -413, -411, -411, -415, -411, -406, -413, -409, -410, -412, 
##     -405, -408, -401, -409, -406, -411, -408, -411, -407, -413, 
##     -413, -409, -414, -409, -410, -403, -404, -407, -407, -408, 
##     -410, -411, -408, -417, -409, -405, -412, -411, -404, -410, 
##     -412, -420, -416, -410, -411, -408, -409, -411, -412, -415, 
##     -419, -422, -419, -415, -419, -417, -411, -409, -406, -398, 
##     -402, -403, -403, -406, -411, -411, -411, -410, -407, -417, 
##     -410, -413, -402, -401, -413, -407, -413, -408, -410, -416, 
##     -411, -420, -425, -423, -422, -419, -418, -422, -420, -410, 
##     -417, -420, -419, -416, -419, -415, -418, -418, -413, -419, 
##     -414, -416, -413, -409, -414, -415, -416, -418, -415, -411, 
##     -419, -414, -411, -411, -416, -419, -424, -421, -418, -425, 
##     -422, -422, -420, -422, -426, -428, -425, -426, -425, -429, 
##     -424, -420, -421, -435, -425, -425, -429, -430, -425, -419, 
##     -424, -424, -418, -422, -421, -420, -425, -414, -418, -420, 
##     -421, -417, -424, -418, -405, -335, -275, -218, -31, 301, 
##     332, 422, 549, 586, 699, 742, 749, 753, 748, 741, 730, 736, 
##     735, 753, 751, 742, 646, 617, 464, 196, -150, -214, -264, 
##     -432, -425, -425, -398, -367, -284, -231, -210, 55, 165, 
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##     -306, -129, 0, 80, -432, -427, -66, -319, -190, -123, -52, 
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##     -330, -365, -399, -422, -433, -437, -438, -420, -381, -51, 
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##     -264, 359, 344, 373, 440, 665, 722, 728, 711, 702, 636, 622, 
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##     -296, -294, -277, -272, -235, -197, 109, 175, 615, 687, 742, 
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##     300, 368, 413, 497, 697, 714, 753, 751, 714, 703, 675, -295, 
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##     458, 475, 535, 674, 731, 733, 678, 631, 607, 552, 500, 456, 
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##     -286, -261, -208, 8, 569, 709, 765, 711, 679, 646, 622, 603, 
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##     552, 620, 671, 743, 747, 678, 735, 700, 647, 525, 486, 133, 
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##     -258, -278, -295, -203, -163, -85, 224, 694, 719, 757, 762, 
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##     114, 191, 243, 353, 454, 603, 664, 676, 690, 720, 743, 761, 
##     665, 709, 726, 724, 718, 719, 711, 710, 706, 713, 716, 726, 
##     719, 726, 719, 717, 679, -452, -439, -443, -426, -240, 59, 
##     91, 319, 377, 633, 639, 655, 685, 692, 705, 713, 721, 728, 
##     724, 726, 724, 717, 711, 711, 709, 703, 702, 707, 731, 725, 
##     689, 679, 645, 508, 383, 364, 273, 216, 130, 77, 27, -24, 
##     -58, -111, -119, -148, -199, -226, -272, -347, -366, -379, 
##     -349, -332, -47, 238, 477, 523, 567, 648, 674, 697, 723, 
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##     -405, -409, -408, -397, -354, -312, -231, -172, -128, -58, 
##     13, 66, 91, 699, 697, 699, 699, 702, 703, 717, 725, 724, 
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##     727, 725, 722, 688, 460, 291, 209, 185, -201, -264, -301, 
##     -201, -113, -72, 30, 117, 211, 487, 563, 601, 625, 728, 734, 
##     689, 629, 601, 587, 536, 596, 679, 724, 734, 730, 733, 721, 
##     569, 528, 144, 94, -45, -187, -372, -378, -399, -402, -471, 
##     -575, -565, -562, -562, -548, -264, 128, 460, 502, 572, 658, 
##     709, 724, 720, 676, 595, 300, 337, 566, 731, 737, 719, 664, 
##     626, 540, 459, 385, 35, -428, -496, -555, -554, -555, -532, 
##     -210, 80, 181, 226, 732, 711, 382, 365, 253, 342, 704, 727, 
##     724, 700, -405, -396, -393, -394, -391, -390, -406, -396, 
##     -401, -398, -224, -126, 271, 356, 570, 600, 711, 689, 653, 
##     556, 528, 473, 432, 403, 401, 439, 480, 532, 618, 699, 676, 
##     644, 533, 564, 639, 648, 669, 739, 732, 556, 429, 472, 642, 
##     678, 716, 707, 698, 675, 635, 538, 479, 463, 424, 497, 639, 
##     706, 718, 722, 722, 670, 607, 554, 347, 308, 479, 532, 582, 
##     732, 709, 523, 475, 437, 460, 472, 508, 549, 576, 629, 738, 
##     729, 729, 448, 328, 299, 331, 440, 604, 657, 681, 719, 725, 
##     738, 730, 716, 683, 624, 551, 533, 437, 398, 401, 408, 426, 
##     457, 570, 586, 703, 727, 734, 679, 318, 382, 603, 671, 702, 
##     730, 739, 735, 622, 490, 381, 298, 303, 387, 445, 487, 724, 
##     736, 666, 655, 627, 571, 534, 481, 251, 248, 227, 264, 300, 
##     438, 592, 631, 690, 703, 740, 722, 597, 589, 532, 354, 323, 
##     577, 600, 741, 733, 685, 594, 500, 378, 374, 404, 531, 591, 
##     641, 684, 735, 732, 699, 603, 434, 349, 398, 454, 543, 596, 
##     636, 741, 729, 676, 632, 591, 555, 541, 409, 388, 412, 467, 
##     508, 736, 729, 627, 521, 503, 367, 468, 511, 646, 727, 732, 
##     686, 414, 349, 287, 298, 326, 362, 416, 476, 470, 474, 473, 
##     470, 473, 474, 485, 480, 476, 468, 471, 471, 473, 472, 475, 
##     470, 472, 474, 479, 466, 465, 462, 457, 464, 469, 468, 468, 
##     471, 467, 476, 469, 469, 454, 446, 417, 390, 392, 381, 379, 
##     369, 361, 367, 392, 408, 427, 441, 475, 495, 530, 535, 489, 
##     479, 444, 424, 413, 405, 401, 403, 404, 422, 428, 422, 426, 
##     423, 425, 426, 417, 412, 412, 413, 406, 398, 393, 391, 395, 
##     403, 402, 400, 399, 400, 399, 394, 407, 399, 408, 407, 412, 
##     403, 405, 404, 404, 396, 403, 410, 403, 408, 412, 416, 413, 
##     414, 414, 420, 418, 422, 422, 423, 413, 420, 411, 398, 399, 
##     356, 296, 134, 75, 36, -294, -299, -374, -390, -396, -397, 
##     -399, -384, -346, -339, -320, -325, -327, -335, -348, -366, 
##     -323, -299, -221, 26, 566, 610, 672, 695, 745, 756, 702, 
##     662, 492, 535, 582, 650, 669, 700, 716, 737, 744, 337, 42, 
##     -63, -104, -314, -426, -428, -112, 41, 715, 696, 596, 541, 
##     602, 708, 735, 755, 591, 515, -52, -191, -267, -359, -428, 
##     -220, -83, 244, -417, -331, 20, 68, 222, 392, 637, 707, 746, 
##     751, 697, 674, 632, 635, 663, 759, 740, 683, 630, 320, 101, 
##     61, -232, -426, -431, -416, -332, -306, -305, -373, -395, 
##     -267, 94, 143, 521, 704, 727, 735, 673, -27, 262, 735, 743, 
##     745, 726, 664, 640, 647, 659, 691, 729, 744, 748, 635, 406, 
##     183, 141, -401, -365, 193, 292, 442, 702, 700, 687, 647, 
##     272, 274, 273, 283, 305, 365, 473, 581, 688, 759, 757, 747, 
##     739, 736, 739, 735, 743, 758, 753, 763, 758, 758, 753, 737, 
##     715, 616, 603, 584, 495, 471, 407, 359, 342, 325, 290, 281, 
##     276, 278, 276, 265, 261, 302, 327, 335, 421, 481, 580, 679, 
##     759, 758, 764, 735, 727, 733, 741, 752, 756, 767, 757, 727, 
##     685, 672, 652, 625, 579, 567, 513, 468, 460, 448, 441, 389, 
##     347, 345, 351, 362, 379, 396, 401, 503, 639, 705, 696, 698, 
##     703, 718, 731, 742, 700, 659, 480, 454, 425, 325, 270, 248, 
##     249, 245, 250, 285, 342, 359, 422, 455, 471, 498, 572, 621, 
##     668, 728, 745, 751, 762, 763, 750, 708, 686, 640, 628, 632, 
##     652, 668, 680, 678, 678, 681, 686, 691, 722, 732, 747, 758, 
##     753, 588, 338, 310, 121, 96, 73, 41, -25, -56, -203, -221, 
##     -306, -312, -319, -322, -330, -326, -323, -313, -299, -294, 
##     -285, -270, -252, -254, -242, -243, -251, -258, -257, -266, 
##     -362, -361, -419, -423, -435, -424, -392, 32, 150, 471, 500, 
##     575, 667, 712, 747, 748, 766, 654, 446, 328, 217, 183, 151, 
##     104, 127, 166, 185, 220, 268, 309, 583, 676, 704, 740, -165, 
##     -42, -4, 62, 282, 545, 593, 692, 735, 747, 730, 694, 655, 
##     639, 536, 484, 344, 208, 186, 210, 250, 296, 547, 611, 656, 
##     699, 730, 705, 578, 553, 336, 275, 244, 198, 141, 115, -11, 
##     -34, -132, -359, -391, -456, -384, -370, 91, 216, 514, 657, 
##     745, 760, 755, 742, 651, 556, 493, 325, 297, 286, 313, 336, 
##     361, 442, 504, -23, -445, -442, -437, -356, 759, 741, 692, 
##     553, 715, 725, 753, 747, 750, 732, 681, 558, 250, 220, 619, 
##     563, 511, 404, 336, 225, 107, 53, -232, -372, -418, -418, 
##     -417, -399, -375, -196, -329, -339, -349, -339, -347, -359, 
##     -360, -356, -350, -338, -330, -329, -320, -36, 308, 496, 
##     742, 698, 663, 606, 550, 586, 633, 756, 714, 131, -266, -365, 
##     -376, -431, 739, 578, 537, 168, 57, -54, -375, -457, -467, 
##     -476, -458, -435, -376, -282, -17, 79, 174, 214, 433, 504, 
##     542, 755, 743, 736, 635, 755, 741, 599, 216, 137, -87, -162, 
##     -273, -363, -473, -509, -504, -477, -424, -395, -379, -286, 
##     -10, 638, 753, 754, 739, 717, 630, 506, 549, 603, 687, 738, 
##     752, 721, 241, 166, -75, 754, 729, 705, 579, 480, 259, 175, 
##     -175, -252, -396, -522, -543, -544, -532, 593, 651, 731, 
##     762, 726, 650, 592, 466, 229, 31, -6, -89, -276, -310, -378, 
##     -425, -476, -522, -543, -543, -542, -121, -21, 120, 360, 
##     442, 585, 741, 746, 651, 493, 448, -377, -389, -393, -388, 
##     -394, -390, -395, -397, -379, -381, -381, -361, -342, -311, 
##     -296, -278, -266, -263, -260, -250, -239, -243, -245, -250, 
##     -259, -276, -290, 638, 635, 751, 551, 488, 440, 311, 225, 
##     -59, -181, -308, -387, -397, -400, -397, -382, -284, -165, 
##     692, 738, 748, 596, 617, 726, 756, 745, 684, 621, 498, 362, 
##     320, 298, 230, -242, -345, -369, -361, -309, -294, -268, 
##     -252, -214, -46, 126, 169, 223, 687, 742, 741, 744, 712, 
##     666, 640, 582, 389, 345, 216, -173, -394, -397, -346, -283, 
##     -148, 37, 143, 188, 433, 482, 598, 752, 648, 667, 676, 728, 
##     750, 751, 710, 413, 584, 743, 733, 676, 639, 614, 646, 671, 
##     714, 723, 750, 724, 471, 216, 60, -170, -340, -363, 473, 
##     481, 478, 491, 479, 479, 470, 471, 473, 465, 466, 471, 471, 
##     469, 337, 637, 718, 694, 613, 535, 496, 341, 288, 272, 238, 
##     231, 220, 245, 457, 529, 698, 708, 362, 345, 249, 219, 160, 
##     120, 194, 213, 260, 296, 344, 378, 435, 424, 368, 39, 3, 
##     -166, -240, -328, -416, -434, -451, -461, -415, 569, 610, 
##     725, 753, 407, 176, -250, -390, -403, -426, -435, -426, -401, 
##     -389, -386, -372, -378, -378, -371, -509, -445, -379, -325, 
##     -195, -116, 31, 184, 440, 736, 719, 683, 511, 496, -410, 
##     -428, -451, -479, -411, -174, -84, -33, 162, 732, 755, 685, 
##     642, 568, 597, 727, -397, -342, -293, 151, 376, 664, 742, 
##     698, 582, 551, 504, 493, 753, 645, 491, 404, 341, 243, -170, 
##     -308, -356, -473, -482, -490, -475, 580, 480, 160, -6, -3, 
##     20, 74, 642, 778, 768, 756, 571, 333, 495, 236, 208, 116, 
##     101, 114, 163, 172, 431, 614, 749, 775, 771, 763, 718, 379, 
##     271, -99, -44, -12, 44, 100, 193, 343, 374, 532, 614, 704, 
##     774, 766, 775, 747, 725, 711, 681, 581, 511, 222, 169, -72, 
##     -105, -121, -141, -186, -204, -227, -231, -234, -243, -241, 
##     -245, -439, -216, 110, 328, 406, 547, 755, 593, 558, 523, 
##     512, 411, 282, 268, 272, 288, 339, 362), magnet_arm_y = c(344, 
##     344, 342, 334, 339, 343, 338, 337, 336, 340, 335, 337, 333, 
##     340, 346, 338, 349, 338, 339, 337, 336, 342, 334, 339, 337, 
##     343, 333, 332, 336, 335, 342, 343, 338, 334, 335, 343, 342, 
##     341, 334, 331, 348, 339, 335, 350, 335, 341, 351, 335, 330, 
##     340, 345, 338, 342, 336, 339, 330, 341, 330, 339, 333, 338, 
##     342, 338, 337, 329, 342, 339, 332, 347, 340, 333, 338, 340, 
##     337, 338, 346, 335, 330, 337, 337, 330, 332, 333, 334, 336, 
##     322, 336, 330, 335, 336, 330, 335, 335, 335, 333, 334, 332, 
##     333, 330, 338, 332, 351, 356, 356, 359, 358, 353, 355, 358, 
##     350, 349, 360, 355, 361, 362, 358, 357, 355, 359, 357, 357, 
##     361, 352, 358, 361, 363, 360, 363, 319, 309, 317, 313, 316, 
##     313, 319, 317, 318, 318, 321, 319, 311, 312, 312, 330, 325, 
##     316, 324, 322, 313, 317, 319, 320, 324, 320, 319, 320, 319, 
##     329, 326, 321, 319, 317, 322, 323, 326, 320, 328, 328, 326, 
##     331, 331, 320, 306, 310, 282, 270, 263, 246, 242, 96, 65, 
##     53, 4, -32, -42, -45, -4, 30, 46, 130, 174, 177, 222, 248, 
##     275, 292, 295, 333, 344, 347, 340, 331, 325, 331, 322, 329, 
##     297, 228, 231, 198, 189, 179, 150, 129, 33, -16, -8, -23, 
##     -33, -37, -22, 11, 49, 66, 83, 122, 139, 170, 190, 309, 211, 
##     205, 162, 100, 83, 33, 16, -19, -13, -4, 20, 204, 226, 253, 
##     290, 319, 377, 389, 377, 379, 373, 370, 368, 370, 355, 354, 
##     347, 350, 348, 347, 348, 359, 358, 350, 281, 284, 258, 226, 
##     216, 204, 161, 125, 14, 6, -12, -9, 267, 298, 336, 360, 370, 
##     391, 394, 389, 390, 372, 356, 356, 365, 357, 353, 353, 351, 
##     356, 338, 332, 337, 311, 273, 270, 349, 354, 368, 373, 365, 
##     371, 378, 385, 381, 376, 361, 360, 360, 352, 351, 343, 357, 
##     358, 327, 303, 294, 284, 230, 159, 113, 46, 11, -2, 18, 39, 
##     50, 134, 173, 198, 209, 224, 246, 308, 311, 358, 358, 364, 
##     356, 359, 357, 363, 363, 367, 361, 349, 352, 353, 337, 341, 
##     340, 346, 330, 232, 192, 89, 46, 25, 37, 49, 104, 136, 339, 
##     352, 348, 342, 335, 289, 272, 206, 163, 142, 125, 116, 91, 
##     89, 61, 58, 37, 52, 75, 374, 376, 368, 372, 360, 363, 369, 
##     144, 81, 111, 126, 196, 211, 290, 255, 243, 188, 142, 16, 
##     4, 1, 13, 42, 105, 174, 309, 333, 406, 411, 401, 409, 405, 
##     550, 519, 501, 458, 371, 326, 290, 268, 251, 252, 243, 233, 
##     233, 217, 218, 211, 219, 245, 250, 248, 243, 240, 233, 234, 
##     230, 226, 204, 213, 207, 210, 208, 198, 198, 198, 200, 199, 
##     192, 185, 186, 177, 182, 172, 168, 179, 184, 190, 192, 197, 
##     199, 199, 208, 215, 210, 211, 228, 230, 274, 294, 300, 286, 
##     273, 265, 268, 277, 279, 281, 273, 282, 276, 281, 286, 276, 
##     279, 291, 303, 302, 292, 299, 300, 315, 304, 306, 307, 305, 
##     313, 318, 318, 317, 314, 316, 314, 323, 317, 324, 317, 316, 
##     321, 321, 330, 326, 329, 330, 330, 325, 327, 323, 326, 334, 
##     342, 345, 344, 338, 332, 332, 336, 338, 335, 337, 335, 341, 
##     344, 347, 359, 355, 370, 364, 368, 361, 374, 362, 364, 363, 
##     358, 340, 265, 263, 260, 232, 204, 162, 145, 118, 109, 88, 
##     57, -6, -16, 327, 320, 310, 304, 305, 310, 304, 296, 298, 
##     290, 294, 286, 284, 290, 281, 275, 263, 254, 252, 250, 240, 
##     232, 241, 227, 574, 577, 569, 582, 580, 577, 580, 574, 568, 
##     575, 231, 226, 228, 230, 225, 235, 225, 219, 228, 231, 224, 
##     227, 238, 238, 240, 229, 239, 242, 239, 247, 242, 245, 249, 
##     245, 242, 246, 244, 249, 238, 246, 245, 244, 259, 259, 259, 
##     258, 275, 265, 256, 255, 263, 253, 249, 245, 242, 246, 224, 
##     234, 227, 209, 207, 218, 219, 226, 216, 219, 202, 210, 222, 
##     218, 220, 215, 216, 209, 228, 236, 226, 226, 234, 236, 232, 
##     236, 241, 250, 252, 255, 256, 260, 258, 261, 267, 263, 267, 
##     262, 265, 269, 303, 351, 306, 271, 266, 273, 287, 280, 280, 
##     283, 277, 289, 279, 276, 280, 284, 279, 280, 298, 293, 311, 
##     313, 302, 307, 303, 302, 295, 282, 273, 277, 278, 272, 272, 
##     272, 276, 278, 268, 265, -44, -65, -88, -91, -84, -92, -92, 
##     -98, -92, -112, -108, -109, -108, -112, -105, -104, -111, 
##     -101, -85, -33, -36, -15, 49, 81, 104, 111, 144, 162, 181, 
##     182, 195, 216, 215, 217, 239, 266, 262, 281, 280, 290, 280, 
##     289, 290, 276, 264, 244, -87, -79, -72, -48, -45, -40, -16, 
##     2, 29, 33, 68, 119, 138, 147, 210, 211, 241, 242, 236, 232, 
##     286, 307, 306, 303, 302, 277, 178, 160, 144, 102, 63, 7, 
##     -3, -6, -44, -50, -82, -80, -86, -84, -89, -81, -91, -86, 
##     -88, -93, -79, -59, -34, -30, 2, 23, 82, 112, 169, 184, 205, 
##     254, 258, 261, 257, 264, 270, 247, 245, 263, 275, 273, 278, 
##     289, 294, 295, 294, 291, 299, 300, 294, 247, 251, 240, 232, 
##     117, -47, -49, -63, -67, -64, -70, -65, -74, -47, -36, -31, 
##     -12, 66, 74, 89, 88, 120, 141, 272, 278, 297, 321, 311, 318, 
##     352, 348, 354, 343, 347, 343, 318, 262, 221, 118, 19, 99, 
##     204, 241, 265, 289, 291, 314, 304, 312, 321, 328, 336, 341, 
##     320, 320, 325, 323, 288, 261, 258, 246, 233, 226, 193, 146, 
##     88, 78, 16, -6, -26, -29, -40, -62, -74, -74, -68, -79, -76, 
##     -83, -81, -79, -84, -82, -85, 22, 39, 66, 107, 124, 134, 
##     198, 217, 231, 237, 261, 271, 273, 269, 276, 276, -41, -60, 
##     -59, -72, -79, -78, -71, -77, -73, -72, -70, -74, -73, -69, 
##     -69, -62, -54, -38, -17, -4, 15, 37, 39, 235, 236, 217, 220, 
##     220, 224, 233, 227, 230, 229, 228, 223, 235, 227, 228, 233, 
##     236, 225, 224, 226, 235, 221, 222, 228, 221, 214, 218, 223, 
##     221, 232, 222, 223, 221, 222, 224, 227, 225, 231, 238, 227, 
##     221, 234, 228, 228, 231, 235, 227, 231, 230, 228, 229, 232, 
##     227, 233, 235, 236, 241, 235, 243, 239, 237, 234, 236, 234, 
##     231, 229, 231, 232, 236, 231, 232, 232, 231, 235, 234, 228, 
##     234, 233, 235, 236, 226, 246, 235, 239, 231, 234, 231, 241, 
##     230, 230, 239, 226, 233, 229, 238, 241, 230, 234, 241, 250, 
##     243, 237, 249, 236, 239, 241, 245, 256, 254, 243, 254, 253, 
##     251, 245, 248, 250, 254, 256, 242, 224, 189, 117, 45, 12, 
##     2, -23, -51, -112, -130, -142, -140, -151, -154, -155, 258, 
##     264, 270, 266, 257, 282, 285, 280, 281, 290, 285, 277, 272, 
##     234, 219, 171, 17, -77, -108, -128, -156, -169, -176, -169, 
##     -171, -171, -173, -163, -167, -174, -167, -124, -125, -99, 
##     -89, 292, 283, 288, 295, 296, 295, 297, 297, 275, 254, 231, 
##     175, 138, 108, 82, -78, -107, -120, -124, -129, -120, -124, 
##     -113, -118, -102, -73, -17, 9, 28, 61, 116, 147, -129, -126, 
##     -138, -145, -135, -132, -93, -1, 28, 201, 228, 314, 330, 
##     345, 346, 351, 330, 332, 345, 341, 330, 321, 273, 246, 62, 
##     56, 20, -1, -24, -58, -79, -89, -103, -123, -127, -125, -117, 
##     -65, -39, -5, 35, 55, 88, 91, 123, 220, 238, 257, 287, 306, 
##     305, 303, 299, 301, 299, 289, 284, 281, 294, 302, 313, 316, 
##     303, 303, 300, 291, 245, 235, 38, 4, -84, -108, -135, -133, 
##     -149, -150, -153, -151, -162, -155, -157, -149, 301, 311, 
##     314, 322, 328, 338, 324, 317, 319, 327, 315, 310, 316, 302, 
##     289, 263, 246, 203, 155, -23, -65, -146, -162, -193, -196, 
##     -123, -98, 28, 37, 95, 123, 196, 204, 241, 249, 258, 265, 
##     297, 317, 325, 293, 292, 277, 304, 297, 301, 292, 282, 248, 
##     231, 203, 96, 63, -117, -155, -169, -172, -208, -215, -160, 
##     -141, -82, -69, 20, 59, 86, 139, 229, 315, 308, 288, 281, 
##     286, 289, 274, 239, 227, 168, 128, 81, -33, -98, -125, -151, 
##     -211, -209, -235, -252, -251, -250, 463, 459, 452, 460, 450, 
##     458, 458, 457, 455, 461, 458, 461, 463, 463, 452, 458, 461, 
##     457, 459, 462, 459, 458, 460, 456, 457, 463, 453, 448, 457, 
##     457, 462, 451, 464, 459, 459, 458, 458, 461, 465, 458, 458, 
##     448, 458, 466, 452, 455, 444, 450, 455, 458, 444, 455, 442, 
##     445, 449, 448, 449, 451, 450, 447, 442, 443, 451, 452, 457, 
##     445, 451, 443, 442, 450, 449, 456, 460, 453, 453, 452, 448, 
##     453, 457, 450, 451, 454, 449, 451, 457, 454, 454, 460, 452, 
##     457, 457, 461, 457, 442, 454, 453, 451, 452, 448, 452, 453, 
##     451, 444, 454, 460, 456, 456, 457, 460, 455, 453, 455, 456, 
##     462, 460, 454, 455, 453, 454, 458, 455, 456, 451, 450, 461, 
##     465, 453, 464, 458, 458, 458, 452, 447, 457, 458, 453, 453, 
##     454, 460, 454, 458, 461, 456, 456, 464, 462, 467, 462, 453, 
##     462, 466, 453, 453, 456, 453, 455, 451, 456, 454, 453, 453, 
##     455, 452, 457, 460, 459, 458, 459, 455, 457, 452, 448, 443, 
##     443, 441, 432, 448, 437, 436, 429, 429, 428, 428, 432, 426, 
##     425, 428, 426, 425, 428, 428, 429, 439, 435, 438, 439, 433, 
##     433, 439, 438, 430, 438, 432, 435, 436, 424, 429, 432, 433, 
##     427, 426, 433, 341, 336, 340, 339, 341, 336, 329, 336, 342, 
##     334, 337, 332, 333, 332, 343, 340, 333, 335, 331, 327, 334, 
##     336, 339, 336, 337, 330, 342, 325, 330, 335, 345, 336, 336, 
##     330, 343, 333, 335, 330, 340, 329, 337, 341, 330, 335, 345, 
##     336, 337, 339, 337, 341, 326, 337, 336, 339, 338, 342, 332, 
##     342, 337, 341, 335, 339, 339, 332, 328, 340, 338, 341, 335, 
##     337, 342, 339, 328, 336, 343, 335, 340, 339, 335, 338, 347, 
##     339, 334, 340, 342, 333, 338, 339, 340, 334, 335, 338, 331, 
##     336, 331, 333, 333, 338, 340, 330, 338, 345, 338, 334, 349, 
##     341, 348, 353, 341, 341, 334, 348, 348, 338, 342, 336, 342, 
##     347, 335, 348, 342, 352, 342, 342, 341, 341, 350, 340, 342, 
##     348, 343, 346, 348, 340, 339, 341, 337, 342, 346, 338, 348, 
##     335, 336, 336, 334, 346, 336, 332, 335, 337, 336, 341, 334, 
##     330, 330, 337, 335, 338, 341, 337, 331, 340, 330, 334, 332, 
##     333, 335, 331, 336, 334, 332, 341, 334, 328, 332, 329, 328, 
##     342, 338, 325, 335, 335, 329, 330, 337, 330, 306, 283, 286, 
##     261, 223, 195, 192, 159, 143, 114, 88, 62, -5, -25, -47, 
##     -58, -110, -107, -134, -168, -201, -200, -200, -202, -207, 
##     -212, -189, -166, -147, -91, -65, 14, 41, 45, 170, 199, 261, 
##     263, 300, 299, 327, 329, 346, 354, 357, 351, 337, 316, 311, 
##     242, 175, 139, 117, 52, 40, -27, -62, -121, -157, -185, -194, 
##     -206, -220, -234, -242, -251, -246, -210, -178, -145, 14, 
##     130, 227, 298, -156, -241, -242, -234, -223, -215, -146, 
##     -120, -57, -6, 59, 133, 170, 220, 254, 308, 315, 319, 372, 
##     390, 390, 387, 380, 367, 366, 372, 355, 342, 322, 64, 18, 
##     -5, -38, -86, -103, -142, -238, -263, -264, -268, -250, -254, 
##     -260, -246, -166, -139, -95, -91, -53, 39, 142, 226, 274, 
##     294, 313, 307, 313, 333, 380, 374, 354, 340, 318, 302, 258, 
##     177, 159, 128, 44, -2, -68, -88, -216, -219, -218, -222, 
##     -195, -181, -172, -114, 0, 50, 74, 172, 215, 243, 255, 254, 
##     285, 294, 302, 314, 331, 342, 345, 355, 353, 345, 348, 334, 
##     335, 328, 251, 134, 122, 13, -56, -105, -162, -164, -202, 
##     -221, -227, -211, -192, 420, 428, 415, 411, 418, 405, 411, 
##     413, 418, 407, 409, 409, 414, 409, 403, 403, 414, 411, 409, 
##     409, 415, 409, 420, 420, 413, 416, 430, 421, 424, 416, 423, 
##     419, 430, 426, 427, 427, 422, 429, 423, 424, 422, 430, 426, 
##     431, 424, 426, 421, 416, 423, 420, 427, 426, 430, 423, 426, 
##     428, 423, 424, 431, 425, 423, 425, 426, 428, 429, 423, 429, 
##     427, 422, 430, 435, 432, 430, 435, 426, 432, 429, 421, 436, 
##     426, 435, 430, 424, 432, 428, 435, 439, 436, 428, 431, 427, 
##     423, 432, 432, 428, 427, 426, 429, 424, 433, 434, 432, 438, 
##     435, 431, 432, 443, 427, 431, 432, 432, 430, 427, 433, 424, 
##     428, 429, 428, 433, 430, 431, 438, 430, 438, 430, 438, 434, 
##     431, 428, 424, 431, 437, 432, 427, 431, 437, 429, 432, 435, 
##     429, 435, 430, 429, 431, 436, 432, 426, 431, 438, 434, 442, 
##     436, 443, 444, 438, 438, 437, 441, 444, 441, 440, 439, 447, 
##     439, 441, 445, 437, 452, 447, 444, 450, 445, 440, 438, 441, 
##     436, 433, 437, 432, 429, 437, 437, 438, 441, 430, 438, 436, 
##     435, 431, 438, 432, 439, 438, 437, 441, 433, 431, 433, 427, 
##     424, 427, 418, 416, 415, 420, 412, 417, 419, 415, 415, 415, 
##     419, 411, 418, 419, 418, 410, 416, 417, 412, 423, 412, 415, 
##     415, 409, 417, 414, 414, 422, 417, 410, 414, 410, 414, 420, 
##     415, 421, 415, 415, 411, 411, 418, 416, 414, 409, 412, 411, 
##     401, 416, 414, 419, 407, 366, 263, 252, 211, 136, 120, 38, 
##     -83, -91, -105, -110, -120, -130, -136, -121, -104, -85, 
##     -8, 108, 135, 187, 309, 439, 440, 448, 432, 432, 433, 434, 
##     439, 439, 447, 434, 383, 353, 345, 216, 160, 0, -36, -79, 
##     -88, -86, -79, -28, -2, 28, 26, 102, 144, 187, 206, 254, 
##     306, 336, 385, 419, 442, 466, 457, 443, 454, 416, 316, 198, 
##     145, 137, 13, -97, -81, -74, -64, 6, 226, 272, 400, 399, 
##     440, 454, 443, 450, 441, 433, 443, 427, 396, 364, 269, 225, 
##     159, 70, 61, -2, -49, -83, -89, -84, -84, -69, 27, 37, 58, 
##     163, 243, 287, 373, 409, 428, 441, 447, 441, 439, 430, 442, 
##     431, 433, 409, 413, 385, 371, 356, 336, 249, 239, 4, -22, 
##     -48, -107, -103, -82, -90, 77, 219, 367, 458, 448, 447, 440, 
##     440, 448, 440, 434, 438, 434, 399, 335, 304, 240, 215, 133, 
##     118, 91, 81, -14, -56, -71, -47, -3, 7, 44, 147, 167, 267, 
##     272, 299, 339, 362, 453, 466, 468, 472, 469, 466, 445, 444, 
##     448, 440, 439, 384, 369, 329, 269, 251, 102, 80, -30, -37, 
##     -55, -43, -2, 13, 47, 60, 145, 248, 258, 282, 318, 340, 357, 
##     416, 441, 453, 444, 441, 434, 437, 398, 350, 281, 32, 22, 
##     -4, -38, -56, -111, -111, 212, 194, 198, 202, 200, 201, 204, 
##     195, 200, 195, 200, 199, 211, 234, 236, 247, 224, 225, 222, 
##     219, 225, 223, 227, 275, 266, 262, 171, 159, 91, 56, 44, 
##     34, 10, -33, -43, 297, 306, 304, 299, 294, 304, 313, 316, 
##     314, 327, 313, 303, 302, 288, 281, 3, -35, -54, -44, -48, 
##     -55, -49, -59, -52, -49, 136, 118, 77, 6, -19, -60, -67, 
##     -74, -90, -88, -89, -93, 253, 250, 250, 244, 234, 240, 235, 
##     232, 223, 129, 50, 32, 245, 248, 275, 288, 291, 297, 298, 
##     298, 299, 304, 296, 220, 219, 234, 230, 232, 230, 232, 227, 
##     227, 229, 224, 227, 223, 223, 224, 225, 234, 202, 189, 177, 
##     165, 167, 153, 179, 188, 191, 265, 263, 262, 263, 263, 263, 
##     268, 273, 278, 270, 292, 274, 273, 267, 257, 248, 270, 273, 
##     273, 283, 284, 287, 282, 285, 282, 285, 280, 295, 288, 282, 
##     285, 285, 273, 289, 282, 283, 283, 278, 285, 290, 290, 287, 
##     292, 284, 283, 284, 284, 283, 279, 287, 280, 281, 280, 286, 
##     279, 286, 276, 284, 285, 298, 278, 286, 279, 276, 294, 284, 
##     288, 293, 277, 286, 285, 283, 287, 281, 290, 280, 291, 277, 
##     286, 288, 283, 296, 290, 285, 280, 282, 284, 282, 281, 278, 
##     279, 277, 271, 272, 283, 282, 282, 290, 290, 298, 296, 289, 
##     293, 295, 285, 280, 282, 273, 276, 276, 273, 276, 270, 284, 
##     278, 275, 278, 270, 277, 271, 269, 272, 274, 282, 281, 280, 
##     296, 282, 281, 288, 283, 278, 274, 268, 279, 278, 260, 259, 
##     250, 268, 281, 280, 276, 283, 279, 278, 280, 294, 286, 293, 
##     287, 294, 286, 289, 287, 296, 286, 284, 286, 289, 289, 287, 
##     294, 251, 240, 219, 174, 143, 148, 158, 159, 151, 144, 158, 
##     160, 159, 169, 163, 171, 151, 167, 173, 159, 168, 175, 172, 
##     177, 166, 160, 168, 149, 144, 136, 128, 139, 116, 117, 115, 
##     118, 130, 127, 134, 134, 144, 136, 129, 146, 152, 150, 168, 
##     162, 161, 158, 161, 166, 178, 178, 178, 193, 192, 197, 207, 
##     212, 237, 259, 276, 274, 281, 264, 250, 248, 266, 259, 258, 
##     261, 268, 270, 278, 275, 273, 278, 274, 273, 269, 270, 271, 
##     276, 265, 267, 271, 269, 270, -30, -53, -40, -50, -49, -38, 
##     -34, -12, 18, 92, 118, 125, 145, 264, 274, 285, 280, 279, 
##     259, 261, 249, 258, 60, 81, 100, 154, 215, 223, 237, 246, 
##     255, 271, 305, 290, 300, 295, 296, 292, 328, 292, 248, 240, 
##     194, 171, 163, 59, 17, -33, -33, -33, -31, -5, 28, 97, 130, 
##     133, 158, 166, 246, 257, 262, 264, 266, 280, 284, 285, 268, 
##     212, 221, 216, 133, 107, 55, -12, -22, -20, -36, -44, -63, 
##     -20, -7, -4, 24, 54, 91, 113, 136, 153, 154, 182, 190, 196, 
##     221, 257, 266, 271, 261, 262, 271, 271, 298, 228, 133, 68, 
##     69, 54, 45, 18, 0, -15, -30, -58, -59, -47, -37, -35, -37, 
##     -16, -10, 20, 34, 33, 54, 79, 144, 141, 170, 239, 238, 258, 
##     271, 272, 266, 266, 249, 263, 286, 300, 306, 305, 312, 308, 
##     300, 303, 295, 285, 288, 279, 277, 261, 254, 256, 271, 259, 
##     207, 182, 183, 170, 142, 127, 107, 88, 48, 116, 219, 231, 
##     259, 246, 259, 266, 287, 290, 310, 303, 272, 257, 241, 235, 
##     251, 259, 266, 281, 281, 254, 235, 231, 47, 95, 98, 111, 
##     125, 154, 169, 183, 195, 207, 207, 228, 227, 261, 272, 266, 
##     279, 290, 293, 297, 293, 295, 297, 283, 279, 279, 255, 248, 
##     191, 104, 98, -19, -35, -40, -50, -51, -57, -62, -74, -69, 
##     -65, -78, -67, -62, -68, -60, -54, -50, -22, -20, -14, -5, 
##     15, 48, 59, 89, 124, 148, 161, 202, 281, 343, 355, 354, 361, 
##     361, 362, -12, -18, -34, -37, -48, -54, -48, -44, -20, 3, 
##     23, 56, 213, 182, 153, 109, 99, 93, 51, -14, -22, -48, -49, 
##     -59, -60, -67, -41, -45, -33, -19, -2, 5, -1, 162, 174, 162, 
##     157, 149, 161, 161, 166, 160, 165, 159, 164, 303, 309, 309, 
##     309, 310, 316, 335, 342, 342, 348, 320, 308, 295, 282, 289, 
##     284, 279, 281, 283, 271, 281, 275, 286, 285, 280, 288, 280, 
##     301, 291, 291, 285, 285, 287, 293, 280, 288, 282, 284, 427, 
##     429, 437, 430, 430, 436, 438, 435, 435, 433, 434, 432, 431, 
##     432, 437, 434, 431, 438, 462, 455, 458, 457, 463, 462, 460, 
##     456, 453, 458, 462, 451, 457, 458, 450, 443, 456, 455, -162, 
##     -155, -137, -117, 73, 260, 279, 325, 324, 312, 300, 193, 
##     134, 126, -20, -48, -103, -118, -131, -122, 210, 238, 265, 
##     283, 289, 298, 310, 310, 306, 302, 299, 303, 312, 315, 320, 
##     83, 106, 213, 222, 235, 232, 246, 281, 292, 295, 303, 304, 
##     300, 293, 299, 285, -111, -110, -84, -25, 12, 33, 35, 65, 
##     82, 120, 120, 138, 159, 234, 250, 227, 229, 228, 227, 232, 
##     221, 237, 228, 229, 228, 228, 237, 222, 225, 226, 229, 230, 
##     236, 243, 236, 134, 132, 163, 215, 215, 219, 224, 219, 215, 
##     219, 224, 215, 217, 210, 211, 202, 65, 62, 77, 79, 121, 144, 
##     127, 145, 121, 123, 115, 113, 109, 114, 118, 109, 106, 103, 
##     115, -77, -78, -71, -65, -54, -39, -28, -15, -15, -19, 28, 
##     55, 344, 366, 395, 395, 397, 417, 392, 398, 399, 390, 383, 
##     368, 363, 352, 113, 211, 264, 294, 325, 347, 346, 341, 330, 
##     372, 368, 277, 286, 336, 347, 367, 373, 367, 354, 350, 249, 
##     210, 143, 132, 89, -1, 247, 265, 356, 368, 367, 369, 370, 
##     360, 356, 340, 338, 341, 332, 322, 301, 346, 353, 345, 358, 
##     355, 338, 322, 305, 211, 202, 146, 145, 96, 64, 19, -49, 
##     -79, -102, 385, 389, 390, 385, 369, 361, 360, 363, 363, 360, 
##     375, 367, 373, 372, 377, 375, 375, 378, 378, 383, 380, 381, 
##     380, 386, 377, 378, 352, 293, 262, 158, 128, 59, -7, -7, 
##     -104, -134, -120, -83, -52, 76, 202, 336, 361, 468, 470, 
##     474, 472, 476, 119, 103, 53, -64, -120, -103, -84, -36, 8, 
##     189, 207, 292, 354, 368, 384, 442, 456, 438, 437, 426, 425, 
##     417, 412, 403, 383, 380, 369, 370, 377, 383, 373, 361, 352, 
##     307, 269, 161, 84, -67, -85, -148, -156, -121, -40, 38, 72, 
##     181, 361, 418, 424, 419, 406, 401, 407, 410, 421, 395, 385, 
##     369, 263, 147, 42, 12, -70, -94, -120, -102, -27, -14, 29, 
##     333, 417, 446, 399, 392, 389, 366, 377, 380, 386, 355, 177, 
##     137, 58, 10, -106, -111, -145, -118, -98, -77, -33, 197, 
##     420, 400, 295, 233, 169, 157, -32, -103, -117, -151, -124, 
##     -55, 53, 172, 211, 300, 459, 462, 478, 411, 399, 379, 377, 
##     375, 379, 378, 395, 432, 409, 382, 358, 201, 127, 105, -51, 
##     -141, -100, -70, -17, 91, 329, 427, 426, 430, 430, 435, 440, 
##     378, 378, 361, 350, 368, 378, -14, 405, 371, 370, 375, 383, 
##     387, 400, 393, 409, 416, 385, 348, 283, 272, 246, -33, -104, 
##     -143, -165, -187, -188, -166, -99, -55, 14, 142, 268, 290, 
##     358, 388, 475, 474, 437, 387, 385, 383, 385, 394, 403, 403, 
##     402, 368, 359, 339, 254, 170, 117, 6, -97, -110, -155, -204, 
##     -262, -264, -192, -163, -19, 18, 88, 103, 242, 118, 156, 
##     211, 215, 252, 283, 294, 297, 300, 285, 296, 286, 290, 297, 
##     285, 280, 299, 289, 283, 291, 305, 312, 304, 305, 305, 309, 
##     316, 308, 310, 298, 296, 305, 320, 312, 311, 307, 324, 317, 
##     314, 304, 315, 310, 316, 305, 312, 313, 305, 304, 311, 304, 
##     320, 312, 313, 307, 309, 309, 309, 307, 305, 311, 307, 303, 
##     313, 306, 308, 305, 309, 316, 313, 317, 312, 318, 310, 309, 
##     293, 278, 281, 255, 244, 240, -106, -34, 87, 102, 144, 185, 
##     198, 211, 242, 286, 315, 350, 337, 313, 312, 322, 318, 320, 
##     320, 317, 326, 310, 273, 263, 201, 187, 120, 104, -128, -178, 
##     -201, -200, -181, -160, -130, -124, -142, -193, -238, -229, 
##     -220, -202, -166, -164, -20, 48, 193, 209, 238, 326, 312, 
##     163, 108, 65, 33, -66, -127, -145, -160, -160, -181, -169, 
##     -163, -168, -106, -132, -183, -186, -232, -137, -126, -98, 
##     -77, -58, -3, 38, 80, 125, 213, 244, 256, 266, 298, 296, 
##     342, 321, 324, 318, 318, 319, 322, 327, 332, 342, 332, 272, 
##     232, 113, -90, -111, -125, -141, -184, -179, -174, -144, 
##     -105, -82, -89, -140, -187, -197, -208, -226, -216, -175, 
##     -107, -58, -47, -11, 13, 182, 200, 312, 315, 325, 316, 322, 
##     29, 14, -16, -68, -125, -142, -161, -212, -208, -194, -192, 
##     -132, -132, -175, -204, -238, -260, -89, 57, 109, 57, 20, 
##     -21, -50, -60, -101, -121, -170, -202, -204, -225, -247, 
##     -253, -238, -198, -168, -157, -157, -182, -271, -280, -269, 
##     -56, 151, 237, 284, 339, 322, 317, 306, 307, 324, 317, 317, 
##     292, 215, 164, 9, -36, -156, -170, -198, -237, -247, -176, 
##     -89, 32, 75, 137, 158, 205, 227, 264, 289, 307, 343, 348, 
##     367, 374, 380, 379, 385, 372, 366, 367, 359, 352, 342, 336, 
##     303, 289, 253, 176, 123, 67, -80, -217, -87, -40, 50, 127, 
##     138, 211, 237, 256, 263, 288, 319, 321, 330, 340, 368, 379, 
##     368, 370, 369, 361, 363, 367, 138, 113, -60, -105, -165, 
##     -190, -186, -208, -206, -201, -200, -168, -138, -119, -100, 
##     -25, 10, 88, 180, 115, 72, 62, 30, -38, -82, -131, -172, 
##     -203, -225, -225, -245, -239, -238, -217, -164, -126, -79, 
##     -3, 50, 128, 236, 252, 343, 348, 345, 341, 322, -257, -244, 
##     -226, -174, -114, -93, -65, -26, -2, 52, 170, 261, 274, 272, 
##     289, 318, 324, 330, 327, 339, 346, 343, 351, 351, 357, 349, 
##     354, 358, 355, 356, 362, 362, 362, 366, 354, 358, 368, 363, 
##     357, 359, 358, 364, 358, 362, 363, -89, -12, 35, 151, 208, 
##     250, 306, 341, 339, 334, 329, 330, 331, 323, -27, 136, 177, 
##     232, 313, 339, 328, 329, 333, 320, 319, 318, 321, 299, 285, 
##     134, 68, 17, 13, -260, -294, -292, -272, -267, -261, 325, 
##     326, 322, 294, 279, 255, 192, -25, -69, -314, -319, -312, 
##     -306, -317, -346, -349, -342, -68, -33, 128, 184, 217, 257, 
##     334, 337, 324, 300, 255, 93, 5, -96, -263, 188, 229, 260, 
##     303, 312, 332, 344, 337, 336, 339, 335, 350, 326, 321, 279, 
##     -316, -261, -247, -224, -69, 88, 108, 163, 325, 351, 346, 
##     364, 361, 361, 364, 362, 356, 344, 342, 320, 128, 86, 9, 
##     -42, -59, -118, -270, -285, -304, -309, -341, -341, -343, 
##     -347, -343, -284, -125, -88, -21, 144, 201, 235, 303, 320, 
##     373, 370, -32, 247, 253, 275, 303, 322, 392, 409, 419, 450, 
##     458, 467, 468, 457, 449, 441, 448, 453, 460, 448, 450, 358, 
##     418, 441, 484, 464, 452, 446, 446, 446, 421, 405, 185, 167, 
##     131, 45, -60, -72, -83, -77, -73, -49, -44, 174, 313, 409, 
##     416, 463, 458, 461, 449, 442, 442, 453, 446, 456, 458, 458, 
##     454, 456, 453, 457, 456, 455, 467, 457, 452, 470, 463, 460, 
##     455, 459, 447, 448, 448, 440, 431, 422, 363, 267, 247, 203, 
##     145, -111, -146, -209, -209, -215, -225, -212, -218, -26, 
##     6, 129, 207, 458, 469, 462, 424, 422, 442, 415, 374, 366, 
##     339, 314, 143, -47, -170, -190, -202, -200, -189, -152, -121, 
##     -109, -69, 318, 471, 467, 458, 450, 446, 449, 120, 200, 347, 
##     365, 409, 436, 455, 468, 454, 451, 439, 433, 447, 346, 103, 
##     -16, -147, -158, -168, -184, -191, -173, -164, -130, -41, 
##     -34, 67, 437, 456, 472, 480, 480, 438, 428, 444, 431, 434, 
##     356, 327, 231, 101, 47, -72, -86, -115, -176, -204, -219, 
##     -205, -201, -147, -65, 5, 224, 397, 448, 455, 434, 425, 432, 
##     436, 425, 316, 293, 156, -50, -91, -98, -152, -206, -221, 
##     459, 448, 433, 426, 338, 281, -33, -199, -204, -243, -239, 
##     -238, -143, -113, -30, -101, -6, 2, 72, 124, 147, 259, 263, 
##     306, 304, 327, 337, 332, 372, 359, 361, 359, 357, 346, 348, 
##     353, 341, 359, 359, 357, 353, 344, 342, 335, 330, 323, 319, 
##     309, 291, 282, 281, 275, 279, 282, 244, 222, 193, 147, 141, 
##     101, 68, 50, 43, -8, -86, -106, -115, -128, -142, -131, -113, 
##     -109, -98, -90, -97, -107, -110, -97, 15, 46, 72, 111, 125, 
##     244, 292, 331, 312, 307, 290, 283, 244, 231, 186, 178, 92, 
##     73, 66, 49, -33, -66, -82, -90, -84, -98, -91, -90, -91, 
##     -85, 236, 271, 294, 317, 326, 322, 334, 355, 357, 357, 352, 
##     358, 353, 363, 345, 339, 340, -105, -107, -101, -113, -65, 
##     -24, 112, 138, 146, 193, 208, 248, 242, 256, 288, 328, 334, 
##     308, 315, 329, 363, 362, 345, 352, 337, 339, 329, 330, 266, 
##     247, 73, 37, -14, -74, -94, -120, -130, -173, -168, -148, 
##     -153, -148, -151, -153, -138, -145, -145, -137, -142, -78, 
##     -74, -14, 56, 106, 115, 130, 373, 371, 365, 326, 250, 81, 
##     47, -14, -88, -105, -132, -135, -150, -160, -164, -156, -152, 
##     -150, -161, 368, 379, 385, 377, 391, 373, 369, 372, 373, 
##     335, 310, 223, 98, 66, 30, -72, -111, -115, -131, -149, -152, 
##     -147, -138, -145, -143, -143, -142, -141, -131, -136, -100, 
##     -63, 92, 151, 168, 174, 192, 209, 224, 230, 250, 305, 334, 
##     336, 341, 354, 361, 376, 378, 370, 364, 355, 348, 291, 85, 
##     12, -65, -117, -126, -132, -128, -123, -127, -121, -109, 
##     -107, -99, -105, -117, -124, -126, -129, -129, -128, -123, 
##     -116, -82, 67, 100, 120, 134, 184, 193, 211, 231, 257, 263, 
##     291, 288, 317, 327, 372, 387, 382, 381, 382, 376, 370, 375, 
##     367, 375, 370, 374, 356, 346, 299, 19, -45, -52, -65, -71, 
##     -71, -84, -82, -84, -85, -84, -84, -81, -84, -86, -79, -54, 
##     42, 73, -123, 43, 95, 124, 182, 196, 318, 316, 332, 329, 
##     356, 359, 149, 290, 363, 365, 365, 372, 381, 377, 374, 320, 
##     304, 293, 208, 53, 35, 0, -31, -34, -40, -78, -82, -97, -105, 
##     -103, -93, -102, -107, -109, -77, -70, -68, -66, -60, -74, 
##     -76, -82, -81, -68, -31, 63, 326, 326, 331, 337, 338, 335, 
##     336, 345, 349, 352, 348, 355, 349, 342, 350, 362, 358, 359, 
##     20, 86, 110, 224, 239, 261, 273, 304, 311, 359, 356, 342, 
##     320, 299, 260, 239, 223, 174, 126, 69, 45, 35, 13, 4, -6, 
##     -40, 76, 52, -2, -30, -30, -29, -31, -34, -40, -33, -24, 
##     -21, -12, 31, 46, 65, 102, 297, 292, 294, 290, 229, 235, 
##     241, 202, 174, 79, 71, 66, 35, 32, 25, 15, -2, -27, -12, 
##     -31, -36, -36, -53, -63, -78, -72, -72, -68, -35, 24, 81, 
##     96, 127, 210, 254, 255, 266, 255, 255, 268, 252, 237, 219, 
##     208, 204, 221, 253, 271, 309, 310, 315, 325, 319, 312, 230, 
##     182, 94, 79, 55, 16, 2, -23, -46, -54, -77, -83, -84, -87, 
##     -87, -70, -58, 42, 111, 193, 211, 220, 239, 279, 281, 302, 
##     295, 306, 322, 341, 316, 320, 325, 334, 318, 332, 331, 317, 
##     299, 298, 290, 280, 268, 270, 268, -89, -85, -77, -79, -79, 
##     -71, -71, -60, -68, -47, -38, -33, -33, -16, 22, 40, 47, 
##     65, 97, 118, 292, 289, 286, 288, 284, 278, 274, 283, 275, 
##     280, 126, 110, 91, 4, -20, -33, -49, -69, -87, -121, -146, 
##     -179, -155, -136, -146, -161, -180, -182, -181, -172, -154, 
##     -125, -76, -15, 45, 195, 220, 231, 242, 254, 290, 297, 329, 
##     330, 277, 266, 255, 263, 255, 251, 222, 183, 122, 54, 17, 
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##     -158, -178, -175, -180, -182, -166, -153, -27, 10, 95, 131, 
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##     306, 298, 291, 282, 259, 187, 163, 112, 18, -14, -70, -114, 
##     -114, -151, -184, -194, -191, -196, -202, 187, 184, 190, 
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##     -164, -159, -158, -164, -156, -128, -109, -78, -45, -23, 
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##     -39, -60, -74, -81, -95, -98, -119, -142, -143, -148, -138, 
##     -102, -87, -79, -32, -12, -7, 49, 71, 81, 99, 164, 188, 192, 
##     207, 234, 227, 225, 228, 238, 311, 313, 332, 333, 310, 258, 
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##     -162, -151, -140, -130, -120, -98, -38, -11, 26, 59, 114, 
##     195, 211, 235, 234, 238, 277, 303, 309, 348, 358, 366, 358, 
##     337, 339, 338, 327, 317, 290, 260, 241, 220, 215, 135, 118, 
##     78, 46, 32, 1, -17, 367, 363, 369, -54, -43, -48, -54, -65, 
##     -91, -86, -91, -78, -62, -55, -31, -23, -13, 301, 302, 299, 
##     294, 291, 296, 313, 301, 308, 306, 316, 327, 327, 338, 346, 
##     332, 340, 326, 324, 287, 276, 223, 195, 123, 108, 67, 12, 
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##     -72, -67, -68, -68, -68, -62, -54, -48, -43, -40, -40, -41, 
##     -38, -39, -31, -20, 257, 282, 287, 287, 308, 320, 319, 315, 
##     324, 320, 321, 319, -193, -201, -215, -218, -200, -206, -202, 
##     -170, -73, -61, -38, -16, 0, 38, 95, 131, 212, 219, 277, 
##     279, 269, 271, 260, 271, 279, 284, 293, 259, 224, 195, 146, 
##     96, 20, -1, -6, -39, -52, -49, -53, -52, -55, -90, 125, 157, 
##     211, 212, 238, 217, 224, 229, 243, 259, 311, 308, 372, 419, 
##     464, 451, 442, 436, 441, 444, 346, 319, 219, -211, -216, 
##     -209, -192, -163, -119, 49, 173, 253, 429, 447, 455, 442, 
##     445, 449, 416, 390, 265, 253, 123, 31, -123, -143, -188, 
##     -188, -197, -193, -180, -151, -143, 460, 462, 463, 470, 461, 
##     461, 459, 461, 460, 464, 463, 457, 457, 463, 461, 427, 409, 
##     318, 265, 222, 191, 171, 149, 104, 91, 77, -44, -77, -55, 
##     -41, 6, 29, 74, 165, 213, 281, -288, -275, -280, -259, -192, 
##     -191, -267, -279, -285, -283, -259, -212, -177, -143, 17, 
##     106, 130, 156, 190, 204, 216, 342, 315, 313, 294, 294, 295, 
##     296, 296, 294, 251, 241, 211, 192, 270, 332, 331, 323, 326, 
##     322, 325, 320, 322, 318, 333, 160, 119, 66, -52, -89, -124, 
##     -142, -165, -154, -124, -95, -60, -41, -63, -77, -107, -130, 
##     87, 10, -86, -194, -220, -223, -213, -223, -219, -198, -108, 
##     -70, 355, 332, 333, 337, 334, 331, 333, 333, 353, 366, 375, 
##     370, 368, 276, 221, -146, -125, -96, -2, 21, 244, 403, 436, 
##     439, 454, 456, 435, 346, 405, 428, 481, 485, 469, 462, 397, 
##     395, 388, 374, 395, 380, 379, 372, 381, 354, 329, 278, -104, 
##     -137, 368, 381, 369, 368, 349, 253, 218, 149, 54, 34, -25, 
##     275, 198, 65, 41, 28, -2, -65, -98, -153, -215, -243, -268, 
##     -278, -288, -282, -298, -292, -296, -322, -328, -317, -317, 
##     -326, -326, -330, -332, -357, -341, -322, -265, -224, -349, 
##     -346, -342, -294, -280, -149, 60, 197, 223, 304, 337, 340, 
##     144, 108, -59, -174, -192, -251, -281, -279, -270, -272, 
##     -276, -330, -328, -172, -202, -200, -248, -268, -261, -254, 
##     -266, -273, -283, -286, -273, -146, 351, 367, 356, 352, 355, 
##     355, 362, 359, 349, 355, 339, 340, 305, 268, 265, 222, 130, 
##     -17, 311, 317, 257, 246, 216, 69, 23, -30, -81, -208, -230, 
##     -251, -255, -263, -268, -268, -278, -275, -275, 290, 298, 
##     311, 322, 347, 356, 351, 349, 345, 348, 344, 295, 175, -215, 
##     -71, -22, 20, 46, 103, 187, 292, 369, 380, 409, 417, 421, 
##     395, 346, 344, 346, 361, 360, 368, 383, 347, 337, 319, 225, 
##     196, 197, 190, 167, 152, 143, 145, 167, 200, 245, 257, 271, 
##     273, 313, 329, 358, 354, 356, 366, 349, 346, 342, 342, 341, 
##     344, 332, 333, 315, 311, 292, 283, 240, 221, 197, 147, 128, 
##     123, 119, 126, 132, 137, 143, 170, 204, 232, 237, 244, 264, 
##     313, 323, 337, 342, 354, 347, 345, 352, 344, 337, 338, 334, 
##     336, 336, 340, 334, 335, 336, 319, 331, 328, 340, 301, 288, 
##     280, 279, 285, 311, 323, 345, 359, 363, 355, 352, 347, 342, 
##     344, 336, 342, 337, 349, 354, 358, 350, 307, 310, 277, 225, 
##     213, 152, 149, 115, 117, 116, 118, 117, 139, 190, 197, 207, 
##     211, 316, 338, 357, 356, 344, 349, 346, 344, 347, 348, 352, 
##     346, 352, 352, 335, 274, 262, 256, 148, 166, 182, 202, 239, 
##     244, 257, 290, 303, 310, 310, 318, 339, 349, 343, 340, 332, 
##     338, 338, 331, 342, 337, 343, 333, 320, 277, 252, 213, 201, 
##     192, 160, 147, 152, 165, 190, 218, 240, 272, 285, 336, 338, 
##     355, 364, 357, 354, 361, 359, 350, 358, 357, 367, 367, 365, 
##     330, 276, 262, 163, 130, 131, 131, 164, 213, 224, 226, 293, 
##     359, 368, 381, 374, 373, 369, 371, 366, 366, 353, 352, 351, 
##     351, 360, 342, 257, 217, 187, 172, 145, 317, 333, 309, 312, 
##     90, 16, 1, -109, -136, -174, -201, -212, -213, -213, -219, 
##     -203, -166, -151, -144, -134, -144, -191, -222, -242, -201, 
##     -153, 158, 182, 242, 258, 279, 347, 346, 315, 317, 309, 319, 
##     303, 295, 260, 214, 89, 61, 42, -193, -230, -243, -213, -189, 
##     -178, -197, -227, -285, -282, -247, -238, -192, -188, -119, 
##     -104, 103, 194, 238, 250, 268, 279, 324, 311, 312, 302, 309, 
##     323, 326, 271, 251, 137, 113, 71, 22, -169, -183, -233, -248, 
##     -258, -249, -248, -236, -221, -213, -222, -232, -272, -274, 
##     -278, -257, -153, -122, 1, 43, 320, 298, 301, 286, 274, 173, 
##     150, 317, 324, 313, 302, 299, 302, 297, 284, 305, 291, 308, 
##     297, 295, 11, -80, -86, -102, -55, 1, 50, 70, 186, 214, 286, 
##     301, 302, 297, 300, 292, 292, 286, 264, 129, 21, -111, -117, 
##     -95, -84, -70, -54, -22, 41, 53, 62, 91, 159, 182, 221, 250, 
##     252, 254, 245, 262, 263, 276, 293, 291, 287, 250, 215, 101, 
##     48, -27, -57, -79, -83, -97, -94, -87, -97, -82, -80, -57, 
##     -42, -38, -23, 12, 22, 62, 82, 135, 139, 286, 306, 300, 269, 
##     78, 32, -6, -39, -75, -67, -79, -80, -76, -52, -44, -35, 
##     -9, 315, 320, 325, 323, 322, 320, 322, 311, 218, 176, 16, 
##     -5, -50, -48, -41, -47, -32, -16, 136, 144, 158, 221, 239, 
##     244, 293, 296, 291, 281, 289, 290, 292, 288, 289, 290, 298, 
##     266, 261, -152, -195, -224, -233, -250, -272, -296, -306, 
##     -307, -346, -343, -350, -336, -333, -340, -276, -261, -178, 
##     -8, 13, 51, 179, 320, 338, 374, 384, 378, 383, 370, 379, 
##     363, 365, 339, 338, 328, 300, 198, 32, -51, -135, -138, -168, 
##     -244, -260, -279, -292, -323, -315, -323, -323, -331, -342, 
##     -357, -289, -103, -58, -30, 20, 173, 279, 337, 336, 351, 
##     358, 363, 363, 373, 358, 319, 278, 225, 137, -301, -273, 
##     -255, 18, 96, 212, 234, 241, 307, 295, 300, 311, 321, 330, 
##     318, 321, 319, 320, 312, 315, 319, 325, 321, 319, 319, 319, 
##     339, 363, 360, 365, 369, 358, 354, 352, 347, 335, 326, 331, 
##     336, 334, 329, 349, 342, 344, 347, 355, 360, 356, 378, 367, 
##     356, 370, 392, 405, 392, 407, 370, 360, 359, 342, 326, 328, 
##     320, 328, 331, 326, 334, 324, 320, 318, 324, 324, 325, 332, 
##     326, 327, 325, 321, 333, 325, 325, 324, 321, 323, 331, 325, 
##     320, 309, 305, 291, 293, 286, 265, 64, 29, 9, -88, -127, 
##     -132, -125, -94, -82, -8, -5, 50, 242, 260, 279, 274, 280, 
##     289, 339, 337, 339, 335, 325, 300, 220, 157, 113, 71, 47, 
##     15, -16, -79, -91, -97, -90, -79, -66, -56, -49, 96, 251, 
##     302, 343, 356, 80, 103, 143, 152, 258, 321, 323, 348, 354, 
##     346, 367, 346, 277, 184, 147, 86, 45, -43, -64, -72, -2, 
##     15, 40, 95, 116, 196, 235, 285, 333, 337, 341, 355, 344, 
##     333, 257, 226, 185, 155, -105, -120, -137, -136, -137, -150, 
##     -133, -107, 100, 131, 145, 198, 269, 281, 316, 320, 289, 
##     -248, -242, -237, -235, -217, -202, -134, 8, 232, 299, 413, 
##     426, 438, 434, 435, 430, 420, 423, 414, 434, 432, 430, 403, 
##     325, 284, 30, -91, -145, -185, -234, -248, -252, -258, -255, 
##     -257, -247, -245, -197, -41, 31, 81, 100, 325, 382, 407, 
##     440, 452, 432, 432, 435, 440, 432, 431, 421, 167, 35, -179, 
##     -211, -211, -194, -200, -155, -143, -93, 50, 118, 242, 258, 
##     334, 351, 371, 423, 446, 438, 441, 450, 445, 451, 450, 439, 
##     438, 432, 428, 434, 427, 437, 436, 439, 435, 439, 431, 436, 
##     433, 439, 437, 437, 432, 430, 434, 417, 410, 388, 353, 351, 
##     218, 186, 174, 104, 46, 42, 49, 122, 222, 308, 335, 359, 
##     370, 378, 391, 405, 414, 417, 415, 413, 415, 419, 428, 420, 
##     419, 410, 345, 212, 196, 129, 85, 71, 67, 59, 55, 62, 72, 
##     110, 115, 149, 200, 274, 360, 412, 420, 428, 422, 423, 423, 
##     428, 408, 412, 412, 414, 402, 398, 343, 231, 101, 91, 70, 
##     79, 76, 101, 115, 137, 173, 240, 319, 355, 419, 419, 414, 
##     423, 423, 421, 359, 210, 187, 170, 133, 119, 84, 66, 142, 
##     159, 238, 300, 328, 373, 437, 458, 453, 446, 439, 450, 432, 
##     431, 431, 374, 336, 292, 236, 197, 173, 163, 126, 82, 78, 
##     55, 57, 70, 106, 134, 171, 263, 384, 408, 437, 423, 418, 
##     423, 418, 418, 332, 322, 274, 142, 71, 42, 21, 31, 31, 30, 
##     44, 58, 62, 154, 194, 249, 328, 353, 382, 410, 429, 435, 
##     431, 428, 431, 432, 417, 425, 407, 321, 277, 189, 105, 101, 
##     98, 118, 236, 275, 324, 343, 387, 435, 443, 460, 462, 448, 
##     444, 438, 447, 442, 440, 440, 415, 398, 226, 181, 85, 30, 
##     77, 145, 440, 458, 453, 440, 437, 439, 438, 351, 347, 111, 
##     100, 61, 85, 129, 153, 171, 244, 293, 370, 400, 454, 447, 
##     440, 436, 440, 443, 403, 359, 182, 79, 61, 53, 53, 63, 69, 
##     106, 121, 131, 149, 170, 325, 426, 430, 433, 424, 425, 434, 
##     438, 435, 430, 443, 437, 430, 443, 431, -119, -89, -30, 30, 
##     47, 333, 393, 454, 461, 447, 428, 419, 413, 419, 418, 416, 
##     399, 181, 152, 96, 46, 2, 188, 250, 384, 393, 405, 394, 384, 
##     385, 391, 397, 396, 391, 378, 381, 366, 340, 312, 313, 317, 
##     325, 327, 356, 353, 341, 348, 350, 346, 343, 346, 339, 346, 
##     345, -135, -135, -130, -106, -106, -115, -128, -118, -104, 
##     -76, -54, -20, 17, 45, 151, 295, 305, 384, 457, 467, 481, 
##     463, 465, 449, 439, 438, 448, 439, 447, 452, 448, 447, 450, 
##     453, 455, 456, 452, 455, 450, 460, 460, 463, 449, 418, 412, 
##     414, 371, 361, 367, 352, 350, 336, 336, 325, 297, 302, 298, 
##     280, 290, 278, 252, 252, 234, 158, 97, 33, 1, 0, -18, -24, 
##     -40, -42, -39, -41, -44, -34, -38, -21, -20, 123, 138, 133, 
##     143, 178, 195, 212, 227, 238, 246, 260, 265, 286, 300, 313, 
##     301, 295, 312, 308, 325, 347, 347, 358, 354, 355, 344, 258, 
##     210, 63, 48, 18, 11, 4, 1, -17, -22, -34, -35, -41, -46, 
##     -33, -16, 21, 30, 72, 75, 398, 397, 390, 382, 372, 369, 342, 
##     328, 327, 253, 206, 169, 147, 71, 42, 48, 39, 30, 24, 23, 
##     27, 32, 41, 48, 68, 95, 104, 124, 217, 262, 276, 317, 314, 
##     311, 304, 313, 328, 334, 339, 352, 348, 341, 344, 338, 305, 
##     259, 244, 216, 205, 199, 169, 146, 140, 114, 114, 46, 40, 
##     9, 0, 11, 8, 9, 17, 15, 19, 42, 81, 80, 128, 158, 188, 227, 
##     233, 263, 298, 308, 315, 317, 324, 328, 320, 329, 344, 341, 
##     339, 315, 306, 298, 283, 268, 203, 161, 45, 22, 27, 17, 16, 
##     18, 279, 287, 324, 324, 321, 320, 320, 325, 315, 301, 295, 
##     273, 260, 238, 195, 177, 159, 132, 106, 85, 75, 54, 15, 14, 
##     12, 7, 3, 11, 16, 11, 16, 10, 16, 29, 150, 199, 322, 330, 
##     341, 344, 329, 341, 334, 337, 332, 285, 219, 171, 168, 146, 
##     106, 85, 61, 29, 17, 39, 22, 27, 23, 35, 29, 63, 117, 271, 
##     293, 314, 349, 350, 357, 371, 364, 371, 373, 382, 374, 365, 
##     360, 314, 228, 219, 86, 65, 31, 42, 48, 40, 36, 30, 35, 53, 
##     71, 87, 107, 139, 167, 221, 227, 244, 261, 272, 279, 294, 
##     311, 310, 13, 24, 23, 42, 64, 83, 169, 224, 224, 249, 271, 
##     281, 286, 279, 290, 99, 152, 157, 249, 277, 282, 361, 352, 
##     371, 373, 313, 314, 323, 323, 331, 345, 345, 340, 341, 335, 
##     327, 318, 311, 300, 345, 339, 337, 303, 137, 63, -63, -75, 
##     -101, -117, -149, -149, -149, -156, -138, -77, -7, 67, 172, 
##     200, 213, 261, 226, 213, 141, 126, 91, 54, -82, -78, -89, 
##     -121, -131, -142, -82, -116, -167, -171, -159, -158, -160, 
##     -163, 300, 310, 300, 379, 374, 372, 359, 358, 345, 344, 348, 
##     336, 331, 289, 228, 120, -109, -112, -135, -192, -192, -197, 
##     -203, -200, -190, -189, -177, -185, -179, -148, -140, -113, 
##     -110, -110, -82, -59, -22, 36, 83, 111, 128, 194, 200, 264, 
##     277, 296, 306, 325, 325, 334, 341, 319, 349, 388, 383, 327, 
##     216, 178, 142, 135, 99, 79, 35, -1, -28, -56, -60, -123, 
##     -124, -114, -111, -113, -108, -119, -114, -113, -116, -102, 
##     -75, -47, -33, 28, 64, 166, 203, 210, 226, 236, 219, 211, 
##     223, 249, 270, 287, 328, 320, 306, 305, 309, 297, 298, 303, 
##     291, 283, -124, -120, -127, -126, -124, -124, -130, -138, 
##     -133, -135, -122, -127, -109, -93, -8, 317, 298, 284, 297, 
##     285, 272, 276, 262, 251, 192, 177, 145, 140, 130, 110, 96, 
##     89, 77, 59, 39, 8, -2, 13, 16, 19, 46, 66, 86, 98, 151, 176, 
##     179, 189, 194, 207, 235, 264, 267, 279, 279, 273, 278, 273, 
##     271, 235, 233, 153, 130, 109, 106, 106, 89, 71, 40, 33, -1, 
##     10, -1, -3, 9, 11, 21, 24, 41, 67, 86, 125, 136, 140, 184, 
##     196, 236, 234, 240, 250, 252, 263, 304, 299, 267, 264, 265, 
##     218, 188, 131, 107, 108, 147, 152, 176, 171, 196, 199, 241, 
##     254, 342, 335, 302, -12, -2, 44, 46, 84, 104, 153, 155, 172, 
##     173, 182, 189, 199, 237, 229, 235, 259, 297, 299, 284, 280, 
##     280, 273, 283, 241, 191, 177, 163, 142, 137, 109, 102, 83, 
##     43, 15, 288, 283, 246, 230, 209, 190, 126, 101, 48, 40, 20, 
##     0, 89, 58, 38, 5, 10, 21, 22, 32, 33, 27, 35, 52, 86, 94, 
##     97, 107, 116, 139, 172, 180, 197, 273, 276, 286, 309, 334, 
##     333, 208, 205, 152, 84, -9, -19, -40, -94, -110, -131, -133, 
##     -135, -136, -144, -120, -96, -70, -27, 76, 82, 119, 162, 
##     160, 201, 262, 293, 428, 432, 427, 420, 393, 348, 332, 251, 
##     -100, -130, -150, -151, -128, 429, 428, 423, 423, 421, 431, 
##     432, 428, 430, 426, 429, 429, 434, 427, 434, 422, 421, 436, 
##     430, 432, 428, 436, 436, 437, 436, 439, 439, 437, 428, 154, 
##     209, 228, 242, 245, 253, 267, 268, 271, 288, 299, 303, 312, 
##     317, -33, -55, 60, 142, 143, 166, 179, 253, 290, 308, 311, 
##     310, 77, 169, 215, 241, 257, 320, 341, 343, 343, 342, 330, 
##     314, 315, 296, 303, 291, 292, 314, 309, 330, 357, 359, 347, 
##     349, 351, 328, 296, 250, 214, 117, 121, 116, 121, 231, 232, 
##     216, 183, 166, 140, 127, 123, 131, 138, 197, 270, 287, 366, 
##     367, 364, 369, 260, 247, 235, 224, 203, 177, 173, 166, 173, 
##     207, 217, 271, 195, 172, 124, 127, 127, 138, 135, 131, 160, 
##     197, 222, 263, 276, 293, 352, 343, 340, 334, 332, 328, 325, 
##     321, 299, 259, 264, 222, 348, 365, 332, 306, 290, 281, 257, 
##     208, 194, 168, 144, 124, 99, 64, 49, 31, -87, -95, -100, 
##     -94, -77, -27, -13, -75, -256, -271, -275, -272, -280, -284, 
##     -286, -295, -318, 201, 199, 111, 95, 47, 1, -154, -193, -200, 
##     -205, -293, -283, -282, -249, -234, -193, -201, -80, -3, 
##     183, 228, 253, 257, 239, 220, 202, 59, -23, -79, -111, -174, 
##     -190, -202, -230, -249, -281, -282, -281, -278, -267, -147, 
##     -174, -207, -227, -250, -292, -299, -271, -131, -60, -35, 
##     2, 86, 120, 144, 165, 147, 144, 92, 65, 28, 10, -29, -106, 
##     -115, -177, -194, -209, -228, -254, -294, -290, -294, -293, 
##     -271, -232, -205, -151, -71, -66, -6, 100, 124, 154, 116, 
##     133, 150, 158, 179, 194, 267, 264, 287, 295, 305, 335, 342, 
##     349, 346, 356, 344, 345, 347, 353, 351, 352, 347, 330, 319, 
##     254, 243, 239, 227, 184, 157, 137, 132, 139, 144, 141, 139, 
##     135, 242, 247, 244, 233, 229, 232, 231, 229, 216, 214, 207, 
##     199, 195, 197, 160, 154, 155, 145, 131, 127, 36, -21, 137, 
##     171, 211, 237, 256, 277, 288, 288, 270, 264, 259, 259, 148, 
##     130, 85, 70, 58, 1, -28, -32, 2, 21, 42, 73, 97, 239, 209, 
##     203, 200, 199, 164, 127, 42, -22, -48, -51, -58, -32, 2, 
##     56, 72, 97, 167, 195, 204, 245, 272, 271, 253, 243, 237, 
##     235, 226, 226, 207, 193, 178, 43, 22, 1, -20, -34, -34, -33, 
##     -32, -32, 8, 107, 157, 171, -96, -78, -48, 9, 40, 54, 81, 
##     106, 181, 196, 208, 225, 255, 247, 255, 251, 257, 254, 245, 
##     238, 244, 228, 198, 193, 185, 168, 165, 150, 148, 117, 51, 
##     16, 11, -13, -45, -41, -45, 219, 216, 194, 199, 197, 191, 
##     51, -28, -31, -46, -49, -27, -22, 69, 107, 129, 209, 235, 
##     248, 249, 244, 254, 253, 257, 235, 229, 228, 221, 219, 215, 
##     208, 158, 101, 93, 81, 65, 50, -41, -22, -5, 125, 132, 147, 
##     181, 224, 243, 234, 224, 223, 215, 202, 190, 172, 161, -8, 
##     -9, -53, -65, -65, -49, 30, 43, 171, 206, 19, 43, 44, 39, 
##     100, 120, 126, 134, 142, 180, 209, 229, 114, 77, 57, 42, 
##     32, 24, 25, 10, 4, 17, 48, 75, 70, 85, 95, 143, 147, 218, 
##     238, 256, 242, 274, 284, 273, 292, 297, 285, 271, 211, 183, 
##     99, 63, 59, 46, 36, 10, 1, -25, -33, -44, -62, -85, -84, 
##     -103, -96, -92, -90, -75, -61, -44, -42, 26, 127, 153, 129, 
##     152, 158, 173, 177, 186, 195, 181, 182, 164, 153, 151, 152, 
##     137, 123, 114, 92, 10, -2, -31, -27, -58, -53, -76, -76, 
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##     338, 337, 330, 329, 324, 323, 322, 326, 325, 324, 326, 320, 
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##     -248, -298, -305, -293, -285, -274, -243, -223, -204, -97, 
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##     446, 439, 446, 444, 443, 444, 455, 445, 454, 448, 454, 456, 
##     451, 451, 454, 444, 453, 444, 455, 452, 437, 415, 374, 259, 
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##     160, 143, 136, 21, -27, -94, -128, -135, -131, -102, -75, 
##     -3, 36, 61, 126, 199, 147, 146, 142, 96, 66, 34, 31, -29, 
##     -40, -120, -126, -79, 136, 180, 197, 190, 200, 204, 174, 
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##     -118, -95, -92, -58, -24, -7, 11, 99, 136, 180, 191, 194, 
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##     -105, -94, -85, 138, 229, 271, 270, 255, 253, 161, 95, 82, 
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##     -118, -129, -133, -115, -109, -35, 160, 153, 156, 153, 145, 
##     145, 298, 296, 301, 315, 317, 309, 303, 316, 307, 280, 218, 
##     339, 339, 364, 377, 376, 376, 371, 365, 373, 360, 347, 337, 
##     324, 21, 17, 7, 7, 10, 12, 21, 27, 34, 41, 57, 96, 99, 104, 
##     209, 226, 336, 371, 380, 371, 376, 369, 371, 368, 372, 171, 
##     168, 145, 136, 137, 125, 104, 63, 57, 68, 74, 72, 84, 119, 
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##     -43, -44, -45, -18, -3, 103, 136, 145, 157, 148, 158, 156, 
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##     134, 140, 135, 142, 128, 114, 111, 113, 97, 72, 74, 93, 173, 
##     166, 0, -17, -51, -62, -79, -85, -83, -86, -85, -89, -89, 
##     -82, -80, -42, -40, -29, -22, 121, 136, 124, 121, 123, 113, 
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##     124, 107, 113, 105, 69, 80, 81, 74, 72, 73, 72, 76, 80, 89, 
##     95, 99, 102, 121, 126, 134, 130, 120, 368, 359, 351, 350, 
##     355, 348, 339, 326, 306, 307, 259, 207, 235, 239, 165, 57, 
##     51, 48, 45, 21, 16, 3, 15, 13, 25, 37, 44, 66, 104, 108, 
##     169, 195, 250, 260, 262, 275, 283, 190, 157, 117, 82, 62, 
##     49, 49, 44, 16, 5, 6, -17, -29, -22, -8, 52, 89, 95, 178, 
##     219, 233, 222, 247, 265, 271, 288, 13, 15, 8, 9, 8, 15, 11, 
##     17, 19, 53, 59, 75, 80, 87, 109, 119, 188, 197, 227, 235, 
##     229, 215, 280, 269, 275, 279, 268, 278, 266, 269, 279, 277, 
##     267, 185, 153, 143, 121, 105, 97, 86, 79, 60, 26, 24, 15, 
##     -3, -20, -15, -34, -31, -37, -31, -32, -13, -2, 37, 114, 
##     120, 158, 161, 164, 164, 188, 198, 221, 237, 243, 264, 282, 
##     210, 188, 170, 160, 127, 117, 99, 95, 99, 82, 87, 76, 57, 
##     60, 50, 60, 69, 76, 102, 95, 145, 158, 304, 293, 253, 235, 
##     200, 188, 175, 152, 143, 130, 123, 95, 66, 55, 28, 32, 11, 
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##     -33, -36, -31, 11, 9, -12, -38, -51, -40, -38, -56, -65, 
##     -73, -81, -90, -100, -97, -83, -79, -78, -62, -51, -13, 12, 
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##     244, 291, 305, 315, 315, 295, 285, 273, 266, 257, 200, 170, 
##     172, 162, 176, 134, 187, 195, 202, 217, 209, 213, 253, 259, 
##     331, 288, 278, 287, 293, 288, 287, 292, 289, 283, 280, 272, 
##     257, 262, 238, 225, 219, 285, 283, 294, 286, 279, 273, 265, 
##     252, 240, 220, 210, 195, 147, 98, 80, 80, -117, -94, -36, 
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##     -130, -105, -91, -73, -40, 1, 77, 114, 149, 194, 178, 112, 
##     106, 113, 121, 117, 114, 113, 118, 185, 124, 102, 105, 93, 
##     80, 80, 77, 63, 66, 65, 63, 74, 75, 70, 74, 70, 82, 256, 
##     203, 178, 170, -138, -143, -140, -145, -141, -100, -40, -14, 
##     211, 251, 262, 271, 306, 319, 323, 305, 285, 292, 277, 284, 
##     285, 280, 300, 286, 93, 11, -49, -67, -99, -96, -85, -94, 
##     -79, -78, -67, -67, -31, 46, 71, 100, 123, 164, 275, 303, 
##     309, 305, 304, 302, 286, 277, 289, 287, 299, 264, 255, 238, 
##     197, 148, -30, -64, -79, -90, -84, -77, -68, 14, 91, 116, 
##     170, 185, 192, 209, -60, -47, -24, -12, 67, 100, 141, 206, 
##     232, 223, 236, 246, 226, 228, 195, 261, 266, 254, 252, 224, 
##     207, 208, 188, 167, 154, 127, 122, 39, 232, 245, 248, 259, 
##     245, 250, 251, 87, -7, -9, -20, -26, -50, -42, -23, 3, 36, 
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##     -86, -43, 27, 63, 117, 149, 176, 162, 117, -104, -126, -11, 
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##     -281, -231, -165, -129, -186, -175, -161, -110, -10, 37, 
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##     464, 461, 441, 445, 454, 449, 453, 325, -74, -70, -62, -60, 
##     -37, 13, 143, 264, 321, 339, 346, 347, 358, 378, 375, 379, 
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##     -39, -101, -123, -127, -120, -112, -81, -74, -46, -34, -20, 
##     35, 60, 186, 212, 267, 292, 302, 320, 337, 331, 332, 340, 
##     340, 343, 335, 334, 331, 332, 328, 335, 330, 317, 183, 89, 
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##     -196, -187, -169, -161, -121, -64, -3, 59, 169, 223, 289, 
##     318, 318, 325, 326, 331, 342, 343, 361, 352, 351, 348, -106, 
##     -223, -218, -204, -206, -206, 161, 128, 121, 51, -10, -105, 
##     -222, -256, -298, -300, -316, -319, -320, -317, -307, -278, 
##     -136, -48, 35, 117, 158, 193, 227, 234, 229, 200, 118, 87, 
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##     -269, -259, -246, -230, -207, -144, -135, -69, 114, 123, 
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##     -265, -266, -277, -281, -267, -251, -174, -147, -50, -22, 
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##     48, -125, -158, -207, -235, -242, -283, -289, -302, -306, 
##     -293, -278, -275, -257, 359, 357, 362, 355, 354, 353, 345, 
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##     -326, -299, 52, 232, 369, 355, 366, 360, 345, 330, 317, 292, 
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##     -298, -304, -262, -263, -277, -273, -294, -320, -342, -23, 
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##     -278, -289, -326, -328, -354, -285, -281, -100, 65, 73, 349, 
##     353, 340, 343, 335, 310, 235, 186, 133, 105, 51, -25, -70, 
##     -252, -273, -286, -292, -290, -288, -326, -377, -311, -272, 
##     -245, -195, -150, -19, 133, 198, 264, 307, 358, 347, 345, 
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##     -309, -326, -343, -345, -360, -366, -370, -358, -323, -325, 
##     -270, -249, -160, -89, -71, 51, 205, 317, 373, 360, 349, 
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##     -372, -368, -375, -386, -381, -372, -328, -187, -181, -143, 
##     34, 273, 294, 293, 295, 310, 328, 348, 356, 366, 371, 374, 
##     387, 374, 329, 317, 353, 359, 312, 195, 153, -119, -179, 
##     -202, -242, -279, -300, -301, -115, 57, 131, 268, 319, 321, 
##     341, 343, 341, 297, 299, 308, 310, 330, 326, 325, 303, 257, 
##     241, 143, 124, -223, -290, -326, -301, -241, -165, -92, 121, 
##     175, 234, 282, 378, 385, 387, 375, 374, 322, 327, 327, 365, 
##     299, 262, 207, 180, 166, 86, -28, -97, -299, -235, -106, 
##     -64, -44, 149, 140, 170, 171, 171, 164, 166, 155, 149, 125, 
##     96, 46, 48, 28, 18, 14, 2, -37, -34, -71, -81, -76, -75, 
##     -94, -106, -70, -38, -16, 16, 10, 62, 79, 84, 92, 168, 164, 
##     159, 160, 147, 166, 155, 154, 140, 154, 133, -74, -73, -70, 
##     -74, -75, -82, -81, -88, -90, -79, -32, -24, -3, 15, 40, 
##     85, 92, 104, 107, 109, 166, 176, 184, 133, 120, 77, 46, 38, 
##     12, 4, 1, -17, -31, -43, -38, -38, -50, -63, -54, -56, -54, 
##     -55, -63, -56, -56, -55, -7, 43, 38, 43, 53, 65, 88, 100, 
##     108, 136, 142, 173, 170, 156, 162, 172, 160, 113, 110, 88, 
##     64, 53, 18, 3, -25, -56, -65, -77, -84, -102, -103, -87, 
##     -82, -84, -102, -102, -82, -86, -56, -58, -32, -22, -11, 
##     0, 13, 44, 62, 89, 107, 117, 144, 168, 160, 171, 192, 230, 
##     247, 262, 257, 248, 251, 238, 248, 259, 252, 257, 233, 227, 
##     199, 185, 94, -39, -46, -78, -120, -189, -187, -205, -210, 
##     -216, -202, -170, 8, 30, 47, 65, 84, 97, 155, 209, 226, 242, 
##     238, 286, 247, 242, 229, 141, 132, 131, 98, 80, 21, -25, 
##     -35, -84, -83, -128, -153, -171, -185, -192, -198, -182, 
##     -160, -156, -14, -10, 15, 16, 84, 121, 144, 148, 153, 219, 
##     222, 227, 228, 249, 248, 241, 210, 185, 175, 133, 124, 122, 
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##     -194, -203, -192, -181, -152, -127, -123, -105, -90, -64, 
##     -51, -11, 12, 30, 53, 49, 61, 66, 78, 80, 161, 147, 151, 
##     146, 95, 78, -32, -130, -155, -162, -180, -188, -191, -197, 
##     -203, -212, -180, -159, -150, -153, -124, -72, -62, -36, 
##     1, 15, 49, 91, 132, 177, 188, 189, 189, 212, 229, 238, 242, 
##     247, 242, 227, 186, 167, 111, 101, 65, 43, 31, 16, -62, -85, 
##     -109, -126, -126, -136, -144, -148, -150, -148, -175, -164, 
##     -162, -148, -146, -113, -79, -30, -13, 63, 223, 239, 251, 
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##     173, 155, 69, -61, -110, -127, -139, -163, -156, -153, -158, 
##     -157, -151, -140, -141, -133, -132, -100, -83, -70, -68, 
##     -49, -36, 61, 122, 126, 127, 180, 182, 183, 135, 112, 105, 
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##     -184, -172, -164, -143, -102, -67, -57, -52, -8, 52, 61, 
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##     287, 296, 293, 211, 120, 124, 83, 38, -12, -99, -104, -142, 
##     -156, -194, -192, -182, -74, -26, 5, 66, 93, 132, 160, 190, 
##     258, 329, 330, 299, 296, 292, 294, 288, 234, 207, 203, -105, 
##     -134, -202, -193, -196, -197, -128, -90, -7, 4, 259, 272, 
##     278, 292, 273, 285, 290, 299, 280, 286, 275, 251, 147, 100, 
##     1, -17, -174, -187, -199, -217, -223, -224, -220, -233, -239, 
##     -243, -238, -229, -215, 3, 21, 43, 63, 62, 25, 3, -4, -88, 
##     -114, -187, -202, -189, -191, -169, -131, 13, 28, 55, 83, 
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##     -185, -196, -204, -209, -212, -224, -215, -114, -1, 81, 95, 
##     122, 82, 85, 69, 66, 47, 18, -91, -115, -150, -203, -211, 
##     -217, -216, -210, -192, -173, -153, -126, -125, -79, -37, 
##     -25, 26, 48, 81, 78, 104, 110, 101, 98, 88, 78, 34, 34, -61, 
##     -89, -106, -169, -218, -220, 33, -7, -33, -68, -109, -118, 
##     -183, -210, -213, -223, -223, -218, -228, -223, -118, -102, 
##     -5, 4, 13, 35, 50, 68, 120, 134, 120, 99, 99, 45, -19, -32, 
##     -70, -78, -125, -138, -161, -164, -167, -162, -165, -194, 
##     -187, -95, -62, -13, 41, 65, 77, 67, 66, 24, -3, -40, -67, 
##     -129, -141, -157, -173, -187, -179, -189, -189, -198, -187, 
##     -180, -112, -56, -1, 27, 43, 45, 44, 80, 93, 72, 55, 48, 
##     -130, -142, -178, -186, -184, -187, -4, -19, -86, -147, -156, 
##     -176, -184, -190, -183, -193, -202, -207, -215, 134, 145, 
##     142, 142, 142, 143, 142, 143, 143, 153, 162, 164, 176, 167, 
##     152, 160, 157, 158, 154, 149, 158, 166, 165, 161, 158, 163, 
##     159, 157, 159, 160, 153, 157, 156, 149, 159, 181, 175, 177, 
##     173, 184, 174, 187, 175, 169, 157, 164, 151, 131, 121, 121, 
##     128, 131, 135, 158, 169, 165, 176, 174, 177, 178, 169, 169, 
##     171, 164, 168, 170, 172, 162, 175, 169, 178, 170, 176, 181, 
##     173, 180, 184, 175, 181, 180, 181, 186, 182, 175, 180, 175, 
##     176, 177, 176, 174, 170, 171, 173, 179, 183, 178, 174, 177, 
##     175, 171, 179, 172, 170, 172, 169, 184, 180, 174, 184, 177, 
##     174, 173, 186, 215, 272, 294, 314, 403, 405, 410, 411, 405, 
##     408, 407, 402, 405, 399, 402, 406, 405, 410, 413, 414, 415, 
##     403, 388, 310, 110, 88, 38, 9, -49, -84, -130, -141, -175, 
##     -180, -176, -166, -159, -128, -121, -92, -11, 296, 383, 397, 
##     412, 428, 429, 425, 387, 352, -110, -123, -170, -182, -170, 
##     -136, -111, -61, 149, 193, 400, 416, 440, 432, 432, 416, 
##     387, 296, 445, 425, 366, 340, 295, 246, 113, 43, -22, -62, 
##     -135, -147, -165, -153, -154, -45, 6, 87, 144, 291, 373, 
##     375, 418, 430, 427, 428, 436, 428, 439, 446, 443, 444, 355, 
##     348, 195, 46, 1, -110, -141, 370, 254, -43, -59, -98, -135, 
##     -187, -199, -189, -183, -173, -151, -121, -47, 125, 257, 
##     324, 345, 438, 441, 328, 290, 232, 62, -132, -137, -159, 
##     150, 146, 136, 117, 124, 110, 100, 49, -17, -54, -74, -71, 
##     -73, -76, -77, -80, -62, -59, -56, -41, -13, -4, -5, 12, 
##     28, 93, 107, 101, 133, 141, 160, 165, 167, 148, 139, 149, 
##     138, 154, 151, 156, 153, 137, 127, 125, 114, 91, 45, 6, -36, 
##     -39, -55, -87, -89, -79, -79, -64, -50, -24, -6, 37, 62, 
##     76, 87, 100, 125, 125, 134, 110, 117, 101, 103, 120, 102, 
##     104, 112, 109, 115, 96, 108, 75, 41, -90, -92, -92, -96, 
##     -86, -77, -74, 57, 79, 155, 147, 153, 175, 162, 156, 160, 
##     162, 152, 153, 142, 139, 125, 116, 95, 92, 63, 33, 4, -40, 
##     -49, -48, -57, -60, -65, -74, -85, -104, -114, -118, -109, 
##     -89, -89, -91, -86, -82, -89, -79, -57, -51, -20, 32, 75, 
##     258, 369, 370, 339, 330, 332, 326, 345, 360, 359, 361, 378, 
##     361, 353, 351, 394, 397, 407, 408, 400, 400, 400, 394, 381, 
##     378, 365, 355, 348, 326, 323, 326, 319, 311, 310, 315, 303, 
##     301, 304, 272, 259, 145, 138, 108, 69, 42, 21, 17, -6, -61, 
##     -95, -99, -95, -98, -87, -93, -91, -89, -95, -97, -105, -106, 
##     -50, 2, 15, 57, 273, 258, 258, 255, 212, 124, 112, 73, 47, 
##     -42, -61, -83, -93, -98, -139, -144, -166, -157, -152, -159, 
##     -164, -165, -125, -97, -80, -53, -31, 153, 241, 243, 290, 
##     304, 301, 320, 324, 322, 338, 331, 332, 360, 365, 303, 296, 
##     308, 236, 206, 119, 67, 7, -14, -57, -63, -114, -143, -159, 
##     -142, -142, -154, -162, -157, -150, -158, -141, 397, 346, 
##     333, 338, 330, -14, -36, -73, -134, -48, -28, 25, 36, 64, 
##     120, 207, 274, 383, 385, 242, 260, 265, 288, 305, 321, 342, 
##     344, 397, 385, 331, 300, 304, 309, 319, 282, 350, 356, 354, 
##     353, 355, 362, 352, 356, 369, 386, 375, 391, 394, 316, 242, 
##     184, 17, -135, -162, -205, -245, -241, -215, -39, 117, 336, 
##     374, 368, 365, 350, 77, 254, 267, 333, 362, 382, 375, 349, 
##     348, 330, 330, 335, 345, 345, 330, 326, 313, 295, 257, 234, 
##     226, 20, -16, -42, -145, 22, 103, 237, 281, 300, 357, 373, 
##     388, 385, 343, 329, 323, 319, 326, 334, 329, 357, 340, 157, 
##     37, 7, -36, -56, -138, -216, -222, -205, -140, -79, 46, 127, 
##     340, 352, 383, 39, 101, 131, 248, 293, 315, 326, 357, 371, 
##     372, 334, 320, 325, 315, -227, -198, -110, -5, 76, 164, 200, 
##     242, 259, 251, 252, 269, 322, 329, 335, 347, 333, 323, 314, 
##     304, 311, 310, 289, 248, 192, 163, 105, -21, -68, -209, -299, 
##     -327, 379, 401, 389, 394, 398, 396, 420, 418, 414, 425, 431, 
##     418, 423, 425, 418, 421, 420, 425, 423, 432, 422, 422, 418, 
##     415, 418, 404, 394, -167, -164, -13, 220, 264, 283, 336, 
##     368, 424, 442, 448, 458, 450, 456, 444, 448, 433, 429, 89, 
##     37, -24, -173, -171, -124, -61, -13, 85, 160, 238, 92, 108, 
##     122, 143, 225, 255, 255, 255, 243, 240, 253, 252, 259, 223, 
##     166, 169, 163, -136, -89, -72, -57, 53, 122, 143, 189, 304, 
##     322, 355, 433, 437, 438, 430, 432, 408, 365, 334, 315, 225, 
##     209, 128, -77, -125, -110, -107, -78, -43, 7, 67, 238, 150, 
##     -73, -99, -138, -141, -145, -120, -123, -92, -72, 14, 77, 
##     277, 368, 398, 416, 449, 451, 157, 158, 148, 158, 148, 152, 
##     162, 154, 152, 148, 159, 157, 166, 163, -208, -183, -72, 
##     -43, -4, 15, 29, 56, 75, 84, 85, 92, 87, 82, -224, -218, 
##     -152, 0, 150, 159, 188, 195, 213, 192, 175, 168, 157, 146, 
##     137, 123, 93, 118, 131, 236, 251, 284, 294, 297, 293, 291, 
##     274, 286, 249, -305, -279, -170, -98, 244, 304, 391, 395, 
##     377, 375, 371, 370, 376, 381, 383, 392, 395, 392, 388, 331, 
##     340, 348, 344, 347, 342, 305, 279, 214, -67, -89, -141, -248, 
##     -262, 378, 374, 354, 339, 337, 347, 341, 343, 301, 56, 30, 
##     -140, -170, -217, -204, -82, 345, 361, 364, 324, 269, 146, 
##     -53, -110, -193, -208, -230, -240, 67, 206, 269, 286, 297, 
##     318, 353, 347, 349, 327, 330, 304, 299, -288, -291, -263, 
##     -274, -282, -288, -289, -314, -175, -42, -13, 165, 285, 175, 
##     281, 289, 307, 294, 287, 284, 267, 149, 22, -120, -188, -204, 
##     -224, -266, -290, -271, -250, -258, -263, -278, -308, -330, 
##     -345, -348, -347, -319, -279, -140, -242, -183, -108, -84, 
##     -68, -26, 54, 129, 219, 223, 301, 317, 332, 322, 343, 343, 
##     350, 346, 352, 346, 345, 355, 327, 309, 243, 200, 181, 138, 
##     -16, -106, -127, -138, -144, -159, -158, -138, -134, -112, 
##     -91, -84), magnet_arm_z = c(513, 512, 513, 516, 509, 520, 
##     509, 512, 510, 509, 514, 513, 509, 512, 511, 505, 523, 528, 
##     508, 512, 514, 515, 510, 510, 500, 516, 515, 506, 513, 515, 
##     508, 518, 519, 513, 518, 510, 511, 514, 504, 513, 518, 507, 
##     526, 510, 513, 510, 510, 516, 517, 516, 507, 517, 514, 525, 
##     513, 514, 506, 515, 514, 512, 512, 527, 525, 518, 507, 513, 
##     515, 517, 514, 513, 521, 511, 512, 507, 517, 518, 519, 519, 
##     512, 513, 516, 510, 515, 514, 515, 511, 511, 535, 515, 512, 
##     515, 510, 514, 514, 516, 509, 512, 509, 515, 511, 510, 460, 
##     454, 455, 452, 450, 469, 460, 459, 451, 458, 469, 446, 455, 
##     461, 452, 447, 449, 452, 451, 452, 443, 450, 455, 454, 449, 
##     456, 452, 494, 496, 493, 505, 493, 500, 490, 496, 494, 497, 
##     508, 494, 504, 511, 507, 506, 512, 508, 500, 499, 501, 506, 
##     501, 503, 497, 496, 495, 489, 491, 502, 490, 483, 491, 494, 
##     492, 497, 503, 511, 518, 520, 526, 554, 562, 588, 598, 596, 
##     606, 577, 570, 554, 535, 242, 169, 138, 3, -107, -145, -104, 
##     -58, 5, 42, 191, 250, 255, 342, 384, 433, 482, 491, 593, 
##     587, 477, 477, 481, 494, 503, 506, 534, 619, 583, 582, 549, 
##     527, 480, 372, 340, 56, -53, -74, -99, -119, -128, -116, 
##     -30, 36, 77, 102, 157, 185, 238, 294, 489, 450, 442, 309, 
##     136, 85, -35, -71, -131, -108, -103, -28, 255, 304, 349, 
##     398, 463, 541, 561, 543, 509, 501, 493, 473, 456, 462, 470, 
##     486, 491, 512, 529, 548, 565, 563, 581, 541, 531, 480, 404, 
##     402, 367, 287, 185, -119, -144, -188, -204, 281, 365, 428, 
##     453, 457, 523, 533, 547, 541, 533, 515, 507, 492, 484, 486, 
##     487, 497, 505, 525, 567, 577, 593, 565, 574, 498, 508, 539, 
##     543, 549, 558, 567, 545, 525, 517, 475, 465, 476, 489, 504, 
##     525, 559, 576, 581, 575, 555, 548, 418, 284, 163, -37, -111, 
##     -106, -72, -38, -19, 104, 177, 214, 226, 259, 295, 491, 498, 
##     559, 563, 574, 579, 542, 546, 518, 515, 501, 497, 500, 507, 
##     528, 546, 559, 563, 579, 583, 512, 357, 66, -18, -61, -47, 
##     -31, 71, 136, 523, 523, 541, 581, 590, 567, 549, 388, 278, 
##     226, 185, 121, 83, 62, -43, -61, -88, -32, -1, 481, 495, 
##     503, 504, 534, 539, 566, 145, -26, 19, 32, 137, 152, 494, 
##     435, 414, 292, 155, -157, -176, -167, -153, -91, 10, 81, 
##     275, 326, 472, 496, 503, 516, 540, 164, 271, 314, 387, 502, 
##     544, 578, 596, 615, 612, 621, 624, 641, 645, 648, 655, 653, 
##     630, 631, 629, 630, 631, 636, 639, 643, 659, 651, 655, 662, 
##     665, 666, 651, 667, 656, 659, 665, 654, 667, 664, 660, 676, 
##     663, 665, 665, 666, 657, 663, 657, 652, 656, 645, 648, 638, 
##     647, 644, 639, 599, 567, 577, 580, 596, 587, 589, 604, 588, 
##     606, 591, 598, 595, 589, 602, 588, 592, 588, 576, 578, 580, 
##     579, 580, 570, 568, 567, 578, 566, 580, 555, 567, 556, 560, 
##     553, 558, 559, 563, 562, 560, 560, 558, 555, 558, 555, 561, 
##     556, 564, 556, 558, 551, 556, 551, 555, 541, 548, 546, 543, 
##     547, 545, 548, 541, 561, 543, 539, 531, 530, 526, 534, 530, 
##     518, 522, 527, 544, 530, 528, 538, 539, 551, 555, 558, 569, 
##     634, 647, 669, 650, 608, 578, 469, 396, 211, 72, 554, 582, 
##     588, 579, 575, 578, 578, 592, 594, 593, 590, 590, 597, 596, 
##     605, 606, 617, 629, 632, 647, 646, 643, 643, 647, 154, 150, 
##     122, 121, 109, 100, 79, 56, 60, 71, 652, 659, 644, 643, 640, 
##     647, 653, 652, 647, 649, 642, 646, 650, 645, 648, 640, 651, 
##     646, 641, 640, 654, 641, 652, 650, 641, 649, 640, 639, 642, 
##     638, 640, 647, 631, 631, 642, 631, 629, 635, 631, 632, 639, 
##     642, 659, 651, 644, 646, 647, 653, 641, 670, 661, 667, 648, 
##     664, 652, 656, 657, 653, 655, 653, 648, 661, 647, 657, 651, 
##     651, 646, 650, 649, 657, 641, 645, 641, 638, 638, 638, 632, 
##     628, 636, 634, 625, 647, 631, 635, 622, 629, 603, 564, 609, 
##     586, 591, 592, 587, 583, 584, 580, 585, 586, 594, 583, 597, 
##     582, 592, 584, 577, 583, 572, 576, 576, 573, 581, 580, 590, 
##     620, 625, 614, 608, 621, 603, 600, 598, 603, 607, 617, 387, 
##     346, 222, 153, 137, 77, 37, -21, -64, -111, -170, -188, -210, 
##     -217, -225, -217, -241, -144, -112, 108, 130, 198, 414, 492, 
##     538, 553, 592, 614, 613, 616, 620, 638, 638, 642, 640, 621, 
##     615, 629, 615, 606, 598, 600, 600, 607, 615, 629, -206, -197, 
##     -168, -87, -62, -32, 59, 134, 185, 247, 348, 451, 477, 517, 
##     585, 598, 616, 619, 633, 640, 618, 594, 591, 590, 592, 601, 
##     629, 621, 591, 555, 479, 323, 284, 232, 91, 39, -139, -150, 
##     -171, -168, -174, -166, -192, -190, -187, -191, -166, -96, 
##     -21, 14, 92, 168, 299, 342, 496, 532, 539, 570, 604, 608, 
##     615, 614, 620, 638, 633, 622, 607, 607, 602, 603, 607, 592, 
##     612, 589, 596, 593, 607, 636, 648, 655, 639, 577, 79, 68, 
##     -7, -41, -83, -101, -158, -150, -82, -56, -39, 8, 167, 227, 
##     248, 278, 350, 361, 574, 584, 598, 590, 589, 580, 554, 547, 
##     546, 552, 554, 558, 594, 607, 599, 466, 236, 259, 469, 501, 
##     544, 579, 582, 593, 596, 591, 593, 584, 581, 581, 571, 574, 
##     564, 587, 635, 624, 636, 628, 633, 624, 604, 559, 407, 325, 
##     168, 105, 55, 12, -53, -155, -171, -175, -181, -176, -177, 
##     -177, -180, -181, -180, -180, -173, 59, 95, 164, 263, 301, 
##     314, 399, 463, 487, 502, 556, 557, 570, 573, 588, 593, -94, 
##     -151, -172, -157, -172, -180, -166, -179, -184, -180, -173, 
##     -170, -175, -162, -164, -150, -99, -66, -24, 29, 78, 107, 
##     123, 615, 597, 612, 598, 602, 589, 590, 588, 591, 593, 592, 
##     598, 607, 613, 595, 594, 597, 593, 600, 595, 610, 596, 612, 
##     594, 604, 603, 605, 607, 617, 602, 608, 603, 598, 603, 599, 
##     589, 588, 603, 606, 590, 596, 607, 596, 589, 591, 596, 597, 
##     591, 596, 596, 597, 593, 595, 591, 601, 592, 588, 597, 607, 
##     608, 594, 592, 605, 596, 596, 598, 600, 599, 598, 602, 587, 
##     593, 596, 588, 591, 598, 586, 593, 607, 609, 599, 589, 600, 
##     611, 593, 602, 591, 587, 603, 596, 587, 587, 593, 595, 590, 
##     589, 596, 583, 577, 577, 572, 592, 589, 585, 583, 579, 583, 
##     583, 575, 570, 574, 574, 571, 568, 567, 577, 572, 577, 597, 
##     640, 657, 647, 609, 572, 551, 509, 448, 291, 202, 160, 64, 
##     -16, -117, -311, 611, 591, 579, 564, 576, 547, 538, 551, 
##     547, 555, 554, 572, 585, 626, 645, 642, 483, 317, 219, 162, 
##     -69, -100, -333, -343, -421, -417, -438, -420, -409, -371, 
##     -180, -21, -2, 92, 142, 532, 534, 533, 537, 549, 551, 552, 
##     566, 604, 621, 646, 616, 606, 559, 527, 151, 18, -280, -333, 
##     -375, -375, -403, -359, -357, -189, -97, 86, 143, 193, 276, 
##     407, 452, -436, -449, -378, -291, -260, -216, -75, 139, 186, 
##     466, 513, 572, 576, 577, 569, 523, 494, 501, 497, 507, 559, 
##     573, 624, 618, 460, 443, 373, 331, 237, 91, 34, -60, -350, 
##     -404, -398, -286, -189, -3, 68, 134, 231, 284, 338, 361, 
##     400, 559, 594, 606, 614, 594, 578, 564, 565, 570, 548, 547, 
##     545, 538, 529, 523, 520, 528, 525, 532, 551, 566, 645, 638, 
##     519, 441, 205, 99, -72, -147, -301, -357, -409, -419, -419, 
##     -404, -393, -379, 582, 551, 540, 540, 513, 499, 502, 502, 
##     502, 510, 522, 552, 558, 569, 598, 622, 632, 614, 583, 372, 
##     287, -7, -207, -420, -424, -44, 28, 354, 387, 490, 515, 581, 
##     590, 618, 628, 622, 631, 608, 573, 531, 509, 512, 509, 514, 
##     519, 530, 545, 588, 628, 635, 650, 557, 488, 165, -90, -172, 
##     -226, -426, -338, -130, -81, 62, 92, 280, 344, 380, 474, 
##     597, 562, 551, 522, 513, 523, 618, 603, 598, 579, 553, 500, 
##     441, 266, 119, 61, -18, -263, -308, -385, -422, -383, -360, 
##     349, 339, 343, 348, 354, 351, 340, 350, 361, 347, 352, 339, 
##     352, 347, 355, 343, 341, 341, 339, 342, 345, 338, 332, 333, 
##     329, 331, 336, 343, 345, 348, 332, 327, 334, 328, 341, 331, 
##     327, 333, 346, 346, 348, 355, 363, 351, 351, 371, 358, 374, 
##     356, 362, 360, 357, 361, 358, 355, 369, 365, 355, 360, 354, 
##     368, 345, 353, 357, 358, 357, 354, 346, 361, 355, 347, 347, 
##     366, 356, 360, 352, 353, 356, 350, 352, 353, 350, 354, 348, 
##     361, 355, 350, 349, 354, 353, 356, 352, 363, 354, 348, 352, 
##     347, 349, 353, 351, 352, 347, 346, 345, 335, 339, 347, 341, 
##     336, 346, 338, 348, 354, 354, 344, 346, 350, 351, 347, 357, 
##     353, 341, 355, 338, 339, 346, 346, 353, 351, 348, 350, 343, 
##     346, 350, 336, 359, 341, 342, 347, 336, 347, 341, 339, 342, 
##     337, 337, 339, 344, 337, 336, 337, 367, 352, 356, 344, 347, 
##     360, 346, 352, 358, 351, 358, 362, 360, 352, 357, 353, 366, 
##     356, 353, 358, 367, 372, 378, 379, 389, 386, 364, 366, 391, 
##     396, 403, 390, 394, 382, 387, 382, 392, 392, 398, 390, 398, 
##     380, 382, 383, 379, 390, 399, 387, 396, 396, 407, 391, 396, 
##     390, 395, 406, 400, 397, 403, 402, 403, 519, 517, 513, 533, 
##     527, 510, 512, 522, 516, 515, 510, 512, 514, 515, 515, 526, 
##     518, 532, 524, 514, 528, 515, 532, 516, 519, 529, 518, 529, 
##     532, 512, 515, 529, 517, 517, 537, 518, 514, 521, 509, 512, 
##     513, 511, 513, 510, 530, 522, 511, 516, 511, 523, 518, 511, 
##     512, 514, 513, 518, 517, 509, 522, 533, 510, 512, 515, 511, 
##     511, 513, 511, 511, 515, 515, 520, 512, 514, 522, 517, 522, 
##     513, 512, 510, 515, 512, 509, 508, 506, 513, 529, 506, 514, 
##     510, 515, 509, 509, 506, 514, 508, 521, 513, 512, 532, 513, 
##     514, 537, 515, 510, 519, 507, 505, 510, 512, 509, 513, 517, 
##     509, 511, 510, 506, 515, 512, 524, 508, 509, 512, 521, 514, 
##     507, 506, 510, 515, 515, 510, 510, 511, 511, 514, 532, 508, 
##     503, 526, 509, 505, 510, 506, 523, 532, 515, 512, 530, 516, 
##     529, 517, 515, 515, 512, 531, 514, 516, 513, 518, 517, 513, 
##     514, 527, 512, 535, 521, 532, 517, 519, 515, 520, 523, 523, 
##     517, 527, 537, 525, 523, 522, 515, 528, 523, 524, 531, 534, 
##     538, 543, 576, 604, 620, 612, 643, 623, 623, 616, 606, 567, 
##     544, 516, 375, 291, 222, 169, -96, -104, -186, -246, -321, 
##     -315, -305, -284, -275, -170, -48, 19, 75, 212, 255, 387, 
##     413, 430, 543, 558, 597, 599, 594, 590, 580, 567, 554, 537, 
##     523, 495, 535, 580, 584, 592, 569, 544, 537, 439, 425, 308, 
##     254, 108, -7, -92, -102, -164, -202, -227, -269, -275, -271, 
##     -95, -33, 26, 268, 392, 477, 537, -53, -239, -249, -213, 
##     -165, -122, 9, 40, 143, 212, 290, 374, 417, 448, 485, 558, 
##     576, 578, 523, 494, 481, 482, 491, 512, 520, 560, 548, 534, 
##     543, 336, 278, 239, 186, 123, 92, 41, -160, -232, -234, -245, 
##     -224, -196, -183, -175, -6, 50, 106, 128, 171, 286, 404, 
##     496, 553, 591, 588, 605, 588, 559, 494, 497, 504, 571, 583, 
##     584, 552, 477, 455, 424, 338, 300, 166, 130, -241, -248, 
##     -255, -251, -174, -97, -57, 36, 206, 302, 341, 444, 492, 
##     518, 532, 550, 564, 571, 579, 576, 573, 548, 538, 499, 479, 
##     478, 494, 494, 506, 525, 561, 416, 394, 271, 116, 46, -75, 
##     -91, -148, -206, -225, -191, -123, 419, 411, 402, 407, 427, 
##     433, 422, 415, 428, 423, 439, 433, 431, 424, 427, 437, 433, 
##     433, 432, 418, 423, 424, 419, 419, 417, 413, 410, 408, 409, 
##     410, 413, 419, 423, 411, 406, 407, 409, 405, 403, 404, 418, 
##     412, 407, 410, 415, 406, 411, 410, 402, 405, 403, 402, 403, 
##     417, 407, 407, 393, 391, 403, 404, 407, 412, 400, 399, 408, 
##     394, 402, 413, 410, 409, 403, 398, 404, 397, 402, 398, 389, 
##     402, 403, 402, 398, 399, 400, 394, 397, 407, 393, 397, 397, 
##     394, 398, 399, 400, 392, 398, 404, 405, 396, 399, 400, 398, 
##     399, 397, 414, 397, 397, 393, 400, 394, 406, 408, 398, 406, 
##     399, 391, 408, 398, 397, 388, 398, 397, 399, 397, 391, 391, 
##     389, 401, 396, 396, 389, 398, 397, 394, 394, 404, 394, 392, 
##     395, 391, 408, 395, 407, 403, 402, 400, 389, 392, 394, 392, 
##     383, 385, 384, 384, 390, 385, 385, 386, 390, 397, 395, 382, 
##     388, 384, 389, 382, 381, 392, 382, 374, 381, 370, 371, 378, 
##     374, 372, 373, 377, 378, 394, 385, 387, 382, 379, 385, 382, 
##     386, 382, 389, 392, 396, 392, 390, 391, 390, 387, 389, 392, 
##     398, 397, 401, 403, 399, 409, 407, 413, 425, 409, 424, 420, 
##     410, 410, 413, 413, 405, 407, 410, 410, 403, 410, 415, 413, 
##     416, 409, 412, 407, 409, 403, 405, 409, 410, 425, 414, 408, 
##     425, 407, 408, 411, 408, 415, 415, 413, 416, 415, 404, 418, 
##     416, 430, 433, 430, 467, 493, 507, 557, 541, 519, 488, 399, 
##     366, 214, -34, -53, -75, -71, -103, -113, -123, -109, -80, 
##     -46, 110, 291, 338, 459, 556, 504, 489, 450, 374, 373, 398, 
##     405, 426, 453, 483, 480, 533, 534, 526, 459, 392, 112, 32, 
##     -100, -139, -145, -124, 7, 67, 103, 129, 256, 324, 391, 414, 
##     482, 522, 541, 532, 506, 489, 436, 397, 437, 438, 515, 514, 
##     428, 386, 360, 195, -88, -136, -104, -94, 90, 488, 507, 522, 
##     519, 509, 404, 397, 382, 389, 444, 449, 477, 524, 522, 483, 
##     441, 361, 257, 230, 122, -8, -95, -161, -172, -162, -127, 
##     125, 151, 207, 428, 533, 545, 550, 525, 502, 465, 462, 392, 
##     387, 394, 416, 482, 502, 524, 532, 527, 531, 520, 505, 430, 
##     410, 150, 89, 45, -112, -111, -68, -56, 263, 454, 543, 430, 
##     377, 385, 382, 410, 430, 473, 483, 494, 500, 511, 513, 503, 
##     446, 413, 314, 290, 268, 238, 83, -30, -73, -27, 52, 86, 
##     139, 312, 349, 498, 511, 530, 533, 543, 490, 440, 416, 376, 
##     376, 367, 378, 432, 450, 469, 479, 541, 520, 509, 468, 435, 
##     265, 223, 13, 8, -47, -28, 73, 88, 173, 190, 287, 413, 448, 
##     465, 514, 517, 526, 512, 477, 458, 404, 407, 452, 486, 521, 
##     512, 489, 177, 160, 104, 22, -58, 663, 644, 583, 599, 598, 
##     597, 601, 596, 598, 599, 599, 594, 599, 598, 619, 603, 599, 
##     596, 606, 623, 615, 614, 618, 626, 625, 637, 621, 625, 556, 
##     549, 378, 295, 270, 217, 147, -23, -55, 584, 597, 593, 598, 
##     613, 593, 582, 581, 575, 575, 586, 600, 600, 607, 622, 135, 
##     -34, -84, -97, -97, -108, -106, -114, -114, -63, 640, 631, 
##     595, 447, 385, 239, 206, 180, -43, -136, -157, -173, 595, 
##     592, 609, 614, 616, 619, 620, 623, 642, 662, 623, 597, 619, 
##     632, 588, 594, 586, 571, 572, 583, 572, 582, 583, 639, 647, 
##     624, 617, 621, 635, 627, 641, 625, 625, 625, 629, 623, 631, 
##     634, 623, 631, 663, 666, 666, 679, 672, 665, 669, 655, 657, 
##     528, 519, 530, 531, 525, 520, 529, 520, 526, 516, 513, 516, 
##     525, 522, 521, 511, 499, 506, 504, 499, 520, 497, 503, 507, 
##     504, 503, 501, 510, 504, 507, 504, 505, 504, 522, 508, 507, 
##     511, 508, 504, 506, 508, 517, 506, 514, 504, 516, 523, 506, 
##     503, 495, 503, 503, 511, 513, 506, 515, 507, 524, 516, 508, 
##     503, 506, 503, 507, 503, 505, 503, 510, 498, 518, 502, 511, 
##     524, 510, 514, 510, 516, 514, 501, 513, 506, 524, 511, 508, 
##     507, 507, 506, 511, 513, 514, 523, 529, 512, 515, 514, 514, 
##     510, 510, 508, 505, 502, 502, 507, 508, 505, 514, 505, 511, 
##     501, 506, 511, 510, 504, 519, 507, 509, 515, 516, 514, 527, 
##     518, 510, 506, 507, 504, 501, 525, 510, 498, 501, 498, 507, 
##     505, 507, 509, 508, 511, 518, 508, 515, 508, 505, 511, 511, 
##     512, 507, 518, 500, 501, 496, 515, 506, 503, 501, 500, 493, 
##     505, 515, 507, 496, 514, 500, 500, 642, 633, 643, 646, 651, 
##     660, 652, 649, 650, 649, 651, 659, 672, 664, 660, 670, 659, 
##     654, 651, 651, 661, 666, 665, 650, 659, 656, 663, 660, 671, 
##     673, 663, 667, 669, 667, 665, 666, 665, 666, 667, 676, 674, 
##     662, 665, 665, 663, 664, 661, 654, 658, 669, 658, 658, 666, 
##     653, 653, 645, 647, 646, 661, 653, 625, 567, 550, 553, 539, 
##     554, 557, 562, 541, 552, 541, 538, 536, 536, 529, 550, 541, 
##     543, 539, 535, 547, 544, 551, 539, 544, 552, 542, 549, 538, 
##     -24, -70, -13, 1, 9, 34, 57, 105, 176, 392, 489, 499, 560, 
##     618, 622, 600, 576, 554, 554, 591, 602, 620, 158, 187, 223, 
##     352, 521, 546, 613, 619, 622, 618, 575, 570, 589, 596, 592, 
##     608, 599, 574, 551, 556, 442, 422, 414, 233, 132, -30, -61, 
##     -68, -50, 32, 124, 255, 341, 331, 390, 418, 506, 557, 602, 
##     624, 618, 618, 581, 581, 612, 650, 642, 629, 411, 351, 189, 
##     24, 4, 2, -51, -50, -69, -5, 31, 71, 126, 172, 279, 360, 
##     381, 411, 433, 477, 487, 521, 555, 626, 608, 604, 644, 626, 
##     623, 616, 577, 463, 296, 175, 139, 108, 97, 47, 6, -12, -37, 
##     -93, -76, -87, -74, -31, -46, 2, 26, 75, 100, 103, 142, 171, 
##     312, 317, 383, 491, 504, 550, 583, 587, 613, 616, 644, 629, 
##     615, 603, 581, 584, 576, 578, 589, 598, 611, 599, 611, 625, 
##     639, 627, 620, 611, 580, 545, 526, 502, 504, 470, 419, 373, 
##     305, 290, 185, 263, 584, 580, 624, 637, 622, 620, 589, 597, 
##     565, 553, 603, 631, 624, 648, 652, 625, 615, 603, 593, 562, 
##     553, 528, 166, 272, 320, 327, 359, 401, 415, 438, 505, 513, 
##     515, 559, 544, 600, 618, 607, 617, 607, 614, 606, 618, 598, 
##     599, 612, 616, 622, 620, 634, 593, 498, 458, 89, 24, 2, -61, 
##     -71, -82, -151, -173, -156, -161, -161, -147, -146, -145, 
##     -129, -132, -98, -42, -15, -1, 41, 82, 168, 180, 236, 332, 
##     392, 417, 449, 554, 580, 557, 556, 569, 558, 547, 31, -8, 
##     -30, -46, -61, -83, -79, -32, 1, 35, 87, 129, 601, 555, 453, 
##     331, 297, 284, 197, 29, -16, -60, -81, -85, -88, -87, -53, 
##     -33, -13, 17, 53, 58, 71, 656, 649, 650, 662, 664, 659, 659, 
##     651, 655, 652, 655, 653, 486, 506, 492, 502, 499, 497, 495, 
##     487, 488, 521, 568, 583, 591, 605, 509, 509, 519, 508, 512, 
##     503, 510, 513, 527, 508, 511, 496, 509, 488, 488, 491, 497, 
##     496, 504, 499, 501, 498, 513, 500, 396, 390, 399, 388, 397, 
##     389, 407, 393, 392, 397, 391, 383, 403, 391, 388, 386, 398, 
##     393, 350, 348, 354, 343, 347, 342, 349, 340, 345, 349, 348, 
##     347, 346, 348, 349, 359, 350, 351, -372, -323, -173, -144, 
##     343, 604, 608, 527, 552, 575, 592, 625, 587, 560, 338, 264, 
##     -84, -157, -359, -363, 549, 589, 606, 606, 613, 609, 591, 
##     578, 580, 550, 554, 538, 530, 507, 514, 487, 505, 621, 636, 
##     636, 635, 628, 611, 586, 585, 557, 554, 556, 545, 555, 544, 
##     -159, -139, 55, 235, 330, 371, 391, 430, 460, 530, 541, 574, 
##     593, 638, 623, 600, 587, 587, 592, 595, 590, 594, 597, 595, 
##     597, 595, 592, 591, 586, 589, 606, 595, 592, 607, 593, 690, 
##     683, 672, 634, 632, 621, 621, 627, 590, 591, 584, 592, 583, 
##     592, 595, 598, 606, 616, 613, 620, 649, 649, 655, 673, 671, 
##     682, 684, 677, 670, 674, 684, 694, 685, 674, 678, 598, 583, 
##     582, 567, 561, 536, 516, 514, 512, 522, 583, 597, 414, 450, 
##     483, 506, 518, 523, 514, 510, 488, 482, 484, 567, 559, 566, 
##     47, 208, 316, 407, 464, 507, 525, 565, 573, 558, 523, 405, 
##     439, 584, 590, 550, 504, 496, 479, 485, 509, 414, 254, 205, 
##     98, -138, 305, 345, 577, 554, 531, 516, 491, 466, 459, 446, 
##     526, 546, 581, 609, 610, 455, 459, 571, 517, 554, 561, 580, 
##     577, 560, 555, 517, 504, 438, 376, 322, 233, 156, 116, 537, 
##     501, 467, 466, 453, 461, 459, 461, 467, 463, 464, 451, 458, 
##     454, 464, 449, 461, 453, 446, 445, 437, 443, 484, 515, 545, 
##     544, 547, 496, 461, 216, 145, -3, -142, -169, -357, -443, 
##     -430, -363, -318, -173, -23, 174, 195, 373, 410, 413, 439, 
##     450, 103, 45, -46, -294, -438, -445, -403, -337, -285, -51, 
##     -26, 109, 235, 274, 296, 449, 486, 495, 479, 455, 452, 434, 
##     409, 404, 403, 406, 418, 428, 469, 553, 546, 539, 540, 487, 
##     441, 216, 42, -262, -310, -492, -489, -414, -279, -171, -121, 
##     23, 365, 479, 495, 515, 519, 527, 532, 500, 492, 415, 544, 
##     556, 381, 105, -135, -200, -364, -408, -505, -484, -339, 
##     -317, -269, 158, 344, 401, 399, 375, 391, 408, 459, 521, 
##     554, 525, 134, 20, -163, -256, -453, -477, -501, -459, -427, 
##     -422, -354, -124, 515, 527, 422, 330, 166, 129, -229, -361, 
##     -381, -464, -501, -404, -286, -151, -89, 32, 381, 424, 440, 
##     421, 420, 401, 400, 377, 374, 373, 408, 448, 501, 485, 462, 
##     43, -100, -129, -382, -514, -513, -468, -396, -255, 83, 499, 
##     519, 488, 492, 468, 463, 377, 384, 375, 368, 435, 541, -321, 
##     408, 369, 379, 402, 431, 435, 447, 471, 501, 519, 462, 397, 
##     259, 193, 167, -345, -416, -453, -478, -508, -535, -491, 
##     -430, -396, -319, -201, -43, 6, 169, 272, 436, 425, 391, 
##     346, 359, 365, 365, 386, 416, 477, 507, 525, 523, 510, 428, 
##     299, 207, 5, -158, -188, -255, -337, -437, -443, -119, -130, 
##     121, 188, 338, 377, 524, 447, 487, 562, 562, 632, 602, 596, 
##     571, 570, 555, 542, 528, 527, 532, 540, 517, 524, 527, 568, 
##     560, 556, 553, 558, 558, 552, 553, 539, 537, 542, 536, 533, 
##     536, 533, 536, 537, 551, 550, 537, 552, 529, 538, 539, 550, 
##     548, 552, 549, 532, 547, 549, 536, 533, 536, 541, 529, 541, 
##     541, 533, 542, 546, 557, 543, 547, 552, 550, 546, 547, 549, 
##     541, 544, 548, 560, 575, 571, 575, 596, 610, 620, 619, 625, 
##     624, -255, -88, 166, 231, 307, 389, 427, 447, 492, 562, 583, 
##     537, 508, 489, 480, 474, 464, 461, 463, 463, 493, 568, 625, 
##     617, 593, 581, 514, 486, 34, -181, -387, -511, -538, -553, 
##     -537, -533, -537, -552, -465, -419, -375, -294, -209, -181, 
##     175, 268, 501, 529, 581, 595, 604, 524, 459, 378, 314, 110, 
##     -155, -207, -289, -330, -377, -396, -526, -550, -544, -551, 
##     -552, -558, -504, -212, -180, -126, -49, -37, 94, 175, 268, 
##     326, 468, 502, 551, 580, 600, 604, 588, 506, 510, 497, 486, 
##     482, 479, 474, 479, 507, 543, 582, 575, 419, -8, -103, -123, 
##     -187, -455, -511, -551, -553, -542, -506, -523, -530, -550, 
##     -548, -550, -398, -366, -236, -41, 81, 116, 173, 196, 494, 
##     541, 592, 532, 485, 538, 558, 349, 308, 247, 133, -37, -95, 
##     -132, -325, -542, -545, -541, -512, -500, -527, -539, -524, 
##     -518, -29, 214, 542, 455, 392, 313, 238, 199, 92, 38, -120, 
##     -207, -254, -322, -454, -511, -530, -506, -487, -473, -474, 
##     -483, -516, -517, -408, 218, 480, 567, 597, 586, 514, 488, 
##     488, 482, 485, 494, 520, 609, 606, 575, 383, 328, 43, 12, 
##     -103, -222, -305, -91, 70, 258, 296, 360, 385, 453, 472, 
##     511, 538, 551, 550, 554, 526, 525, 483, 483, 493, 481, 487, 
##     501, 500, 531, 564, 576, 569, 572, 539, 448, 376, 306, 79, 
##     -245, 67, 139, 283, 369, 384, 447, 489, 502, 527, 540, 551, 
##     567, 574, 585, 519, 506, 489, 490, 471, 499, 508, 565, 448, 
##     375, 127, 40, -63, -128, -144, -164, -187, -183, -160, -75, 
##     -2, 49, 90, 214, 272, 363, 479, 502, 450, 434, 399, 309, 
##     191, 25, -82, -137, -196, -197, -230, -190, -178, -145, 9, 
##     87, 157, 274, 321, 438, 557, 594, 535, 533, 512, 511, 574, 
##     -138, -111, -66, 38, 104, 120, 153, 214, 242, 328, 463, 572, 
##     584, 596, 591, 567, 560, 552, 537, 514, 519, 525, 522, 526, 
##     530, 519, 514, 518, 515, 531, 524, 521, 515, 521, 516, 510, 
##     515, 506, 511, 503, 502, 516, 515, 513, 519, -8, 120, 201, 
##     378, 447, 484, 539, 561, 563, 528, 526, 522, 524, 545, 157, 
##     348, 386, 423, 512, 554, 573, 563, 573, 565, 559, 571, 562, 
##     598, 591, 499, 422, 364, 328, -212, -300, -440, -510, -516, 
##     -512, 535, 573, 589, 585, 589, 594, 560, 302, 254, -495, 
##     -502, -495, -505, -481, -445, -413, -304, 152, 199, 403, 
##     446, 459, 508, 562, 563, 585, 592, 587, 483, 360, 166, -154, 
##     463, 501, 515, 551, 564, 567, 553, 555, 536, 541, 522, 531, 
##     556, 574, 597, -397, -191, -168, -91, 113, 306, 332, 380, 
##     503, 526, 534, 543, 537, 515, 507, 492, 487, 530, 543, 572, 
##     502, 458, 362, 235, 198, 114, -312, -358, -409, -424, -461, 
##     -476, -468, -406, -390, -220, 34, 89, 180, 339, 390, 416, 
##     472, 498, 538, 530, -20, 408, 422, 463, 503, 544, 532, 526, 
##     513, 466, 462, 418, 374, 365, 378, 370, 384, 415, 430, 449, 
##     477, 489, 511, 490, 435, 389, 351, 385, 420, 438, 507, 522, 
##     354, 316, 267, 112, -75, -135, -147, -135, -97, -42, -39, 
##     329, 438, 513, 514, 431, 405, 395, 374, 406, 398, 406, 408, 
##     427, 423, 419, 414, 409, 412, 417, 426, 407, 415, 411, 411, 
##     408, 414, 416, 414, 414, 409, 425, 418, 431, 486, 495, 531, 
##     467, 449, 385, 280, -170, -270, -462, -468, -479, -422, -398, 
##     -377, -61, 23, 142, 227, 451, 422, 404, 350, 357, 452, 511, 
##     505, 506, 457, 439, 177, -150, -391, -452, -476, -468, -467, 
##     -269, -210, -195, -121, 343, 425, 378, 369, 366, 374, 397, 
##     139, 226, 381, 399, 440, 451, 462, 423, 407, 377, 359, 357, 
##     421, 491, 172, -50, -429, -463, -473, -480, -438, -373, -349, 
##     -300, -162, -125, 23, 466, 452, 430, 421, 422, 381, 397, 
##     406, 490, 494, 475, 442, 333, 126, 38, -169, -195, -250, 
##     -347, -376, -445, -427, -379, -228, -120, -11, 317, 459, 
##     443, 442, 403, 387, 386, 469, 496, 499, 483, 307, -72, -142, 
##     -178, -261, -388, -449, 432, 474, 485, 493, 463, 391, -49, 
##     -311, -329, -430, -416, -406, -218, -179, 117, -67, 0, 26, 
##     195, 263, 319, 478, 479, 555, 557, 565, 574, 584, 533, 531, 
##     545, 542, 539, 536, 549, 541, 545, 522, 524, 522, 515, 514, 
##     517, 536, 528, 529, 546, 560, 561, 561, 576, 576, 578, 581, 
##     625, 637, 615, 562, 553, 474, 432, 365, 327, 170, -49, -165, 
##     -177, -278, -329, -487, -515, -531, -532, -501, -495, -455, 
##     -434, -333, 6, 97, 219, 328, 392, 577, 597, 582, 566, 587, 
##     596, 613, 612, 604, 565, 573, 414, 373, 326, 269, -39, -185, 
##     -229, -328, -344, -388, -414, -470, -462, -497, 435, 466, 
##     494, 528, 558, 569, 572, 560, 563, 548, 542, 540, 537, 531, 
##     544, 554, 560, -541, -544, -527, -504, -319, -209, 43, 108, 
##     124, 225, 250, 365, 387, 432, 479, 523, 546, 584, 590, 580, 
##     541, 536, 553, 551, 563, 565, 564, 577, 586, 582, 358, 245, 
##     111, -49, -120, -238, -279, -407, -497, -551, -561, -559, 
##     -550, -555, -562, -535, -523, -510, -449, -263, -228, -100, 
##     23, 138, 166, 208, 529, 538, 559, 579, 575, 397, 344, 208, 
##     -136, -184, -295, -328, -404, -423, -458, -487, -474, -495, 
##     -467, 541, 526, 525, 527, 534, 522, 535, 535, 549, 584, 586, 
##     531, 361, 284, 176, -100, -202, -227, -265, -362, -405, -488, 
##     -483, -510, -513, -509, -506, -483, -472, -445, -297, -190, 
##     107, 212, 277, 309, 373, 409, 432, 447, 480, 581, 589, 571, 
##     565, 563, 548, 517, 521, 523, 536, 540, 566, 594, 403, 219, 
##     -56, -242, -293, -335, -372, -370, -380, -444, -477, -487, 
##     -506, -499, -489, -462, -441, -421, -405, -371, -324, -281, 
##     -194, 177, 250, 281, 307, 390, 418, 431, 448, 472, 480, 511, 
##     518, 541, 540, 537, 516, 519, 509, 496, 504, 501, 509, 502, 
##     501, 501, 500, 568, 573, 589, 28, -255, -285, -345, -360, 
##     -426, -450, -470, -530, -536, -547, -532, -526, -519, -437, 
##     -368, -301, -70, -4, -286, 128, 209, 275, 395, 422, 547, 
##     554, 552, 567, 542, 544, 253, 554, 557, 555, 539, 545, 534, 
##     534, 520, 582, 589, 607, 586, 230, 175, 59, -78, -88, -154, 
##     -264, -313, -415, -415, -446, -457, -478, -486, -496, -526, 
##     -515, -531, -534, -523, -511, -476, -422, -374, -315, -194, 
##     5, 579, 573, 581, 584, 565, 571, 557, 560, 562, 547, 547, 
##     548, 547, 545, 546, 555, 539, 534, 89, 221, 304, 414, 429, 
##     456, 465, 557, 603, 544, 552, 574, 607, 600, 584, 588, 573, 
##     540, 480, 367, 291, 261, 240, 183, 135, -1, 231, 121, 9, 
##     -71, -72, -91, -120, -107, -120, -105, -88, -93, -69, 23, 
##     54, 102, 198, 573, 590, 596, 602, 633, 617, 617, 552, 526, 
##     298, 279, 254, 197, 178, 154, 121, 48, 21, 11, -37, -60, 
##     -75, -102, -131, -139, -130, -125, -112, -34, 89, 185, 198, 
##     252, 417, 483, 489, 542, 573, 594, 611, 615, 630, 662, 658, 
##     654, 657, 630, 626, 603, 589, 594, 582, 599, 600, 655, 600, 
##     479, 439, 394, 281, 234, 209, 104, 74, 23, -12, -49, -79, 
##     -64, -40, 2, 186, 334, 439, 464, 464, 501, 567, 581, 603, 
##     592, 614, 595, 591, 600, 570, 571, 559, 561, 564, 574, 590, 
##     592, 615, 607, 614, 610, 604, 602, -149, -172, -173, -170, 
##     -159, -149, -106, -97, -69, -44, -20, -5, 14, 62, 138, 165, 
##     199, 254, 301, 356, 599, 597, 614, 606, 603, 612, 610, 623, 
##     617, 639, 490, 423, 380, 173, 121, 93, 17, -62, -177, -347, 
##     -498, -532, -529, -543, -526, -525, -515, -486, -441, -310, 
##     -262, -154, 19, 157, 313, 612, 627, 617, 634, 627, 573, 589, 
##     534, 543, 611, 605, 620, 620, 613, 621, 542, 371, 253, 138, 
##     93, -47, -346, -362, -380, -450, -506, -521, -533, -532, 
##     -525, -526, -480, -469, -451, -379, -284, -232, 73, 169, 
##     289, 425, 433, 494, 559, 589, 598, 622, 621, 608, 568, 559, 
##     550, 545, 559, 559, 568, 569, 615, 657, 598, 493, 301, 228, 
##     19, -99, -122, -252, -364, -389, -428, -430, -452, 564, 557, 
##     576, 607, 615, 608, 579, 573, 554, 550, 512, 509, 521, 575, 
##     600, 612, 614, 533, 392, 342, 271, 126, 96, 67, -89, -191, 
##     -257, -282, -381, -400, -422, -462, -466, -444, -444, -456, 
##     -437, -437, -426, -406, -384, -365, -253, -226, -106, -41, 
##     39, 337, 465, 544, 556, 566, 596, 627, 248, 210, 128, 29, 
##     -1, -17, -97, -144, -186, -219, -259, -345, -451, -471, -455, 
##     -455, -279, -242, -229, -122, -77, -56, 125, 138, 188, 218, 
##     343, 432, 483, 528, 613, 610, 627, 639, 629, 568, 545, 531, 
##     519, 551, 617, 583, 384, 328, 165, 101, -57, -88, -164, -278, 
##     -312, -456, -432, -420, -329, -305, -260, -241, -175, -63, 
##     -16, 60, 145, 261, 429, 468, 530, 538, 574, 613, 583, 579, 
##     530, 526, 503, 514, 534, 570, 569, 584, 588, 585, 549, 517, 
##     487, 481, 324, 275, 178, 116, 89, 40, -7, 538, 543, 539, 
##     -28, -41, -63, -88, -102, -213, -204, -208, -202, -156, -103, 
##     -48, -17, 2, 598, 590, 597, 602, 605, 600, 595, 596, 592, 
##     576, 581, 585, 561, 566, 565, 572, 574, 571, 578, 616, 618, 
##     601, 575, 469, 448, 346, 226, 203, 152, 102, -81, -146, -183, 
##     -190, -216, -217, -203, -199, -197, -183, -177, -182, -184, 
##     -168, -168, -160, -152, -138, -122, -121, -86, -72, -74, 
##     -62, -36, 614, 615, 591, 586, 576, 536, 554, 530, 530, 531, 
##     536, 541, -489, -484, -424, -404, -395, -364, -353, -266, 
##     -68, -27, 16, 46, 78, 139, 329, 377, 588, 606, 603, 627, 
##     623, 628, 627, 623, 611, 613, 606, 547, 498, 484, 459, 423, 
##     299, 176, 165, 42, 8, -2, -17, -27, -45, -131, 231, 313, 
##     485, 498, 619, 645, 649, 641, 641, 622, 587, 580, 356, 400, 
##     406, 370, 367, 363, 370, 385, 539, 528, 448, -449, -436, 
##     -401, -290, -207, -115, 122, 290, 354, 481, 475, 449, 359, 
##     336, 398, 496, 468, 366, 341, 172, 33, -285, -324, -460, 
##     -467, -470, -417, -378, -273, -243, 425, 413, 411, 416, 418, 
##     422, 419, 415, 415, 420, 421, 412, 414, 412, 411, 503, 507, 
##     483, 431, 397, 354, 325, 284, 214, 182, 136, -52, -161, -114, 
##     -83, 29, 50, 104, 251, 327, 413, -520, -514, -530, -519, 
##     -489, -496, -536, -528, -520, -491, -394, -291, -182, -89, 
##     200, 343, 330, 382, 472, 511, 542, 557, 492, 483, 476, 481, 
##     484, 511, 515, 601, 627, 621, 631, 609, 608, 573, 584, 546, 
##     544, 506, 464, 475, 464, 479, 556, 588, 554, 485, 225, 148, 
##     -23, -176, -414, -467, -544, -563, -539, -550, -550, -547, 
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##     568, 535, 437, 377, 363, 329, 309, 299, 305, 320, 328, 398, 
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##     578, 557, 460, 448, 321, 297, 211, 181, 180, 206, 210, 232, 
##     345, 368, 380, 407, 541, 583, 543, 519, 504, 517, 500, 507, 
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##     524, 571, 555, 568, 543, 525, 507, 478, 471, 458, 501, 520, 
##     551, 557, 560, 568, 539, 504, 374, 198, 189, 192, 269, 367, 
##     393, 402, 473, 545, 554, 553, 526, 512, 485, 480, 460, 454, 
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##     -307, -180, -155, 0, 35, 386, 479, 551, 582, 581, 614, 579, 
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##     590, 590, 631, 567, 405, 33, -6, 34, 86, 152, 182, 243, 362, 
##     408, 427, 481, 562, 593, 621, 628, 570, 564, 571, 546, 544, 
##     543, 540, 556, 588, 639, 636, 561, 463, 308, 236, 172, 149, 
##     -64, -77, -74, -64, 33, 66, 138, 162, 210, 264, 339, 364, 
##     447, 470, 549, 559, 593, 511, 540, 618, 371, 276, 212, 138, 
##     48, 26, -21, -117, -105, 28, 47, 96, 178, 478, 481, 491, 
##     492, 512, 542, 570, 606, 531, 470, 208, 142, -81, -106, -111, 
##     -112, -80, 47, 404, 424, 459, 615, 613, 620, 612, 534, 504, 
##     510, 504, 497, 504, 510, 551, 572, 590, 623, 629, 12, -88, 
##     -146, -204, -219, -324, -434, -454, -479, -492, -493, -490, 
##     -496, -483, -403, -216, -201, -89, 130, 166, 217, 396, 549, 
##     542, 529, 534, 513, 524, 515, 516, 522, 544, 564, 579, 565, 
##     587, 503, 315, 154, 1, -27, -88, -273, -313, -343, -395, 
##     -473, -489, -497, -479, -467, -453, -405, -169, 131, 210, 
##     227, 307, 459, 526, 556, 549, 547, 539, 542, 511, 460, 451, 
##     548, 603, 614, 571, -209, -165, -98, 395, 494, 578, 596, 
##     610, 584, 574, 572, 562, 559, 559, 556, 560, 565, 558, 562, 
##     559, 563, 556, 552, 563, 554, 543, 543, 507, 508, 505, 510, 
##     515, 518, 515, 523, 531, 536, 536, 540, 542, 543, 524, 539, 
##     534, 525, 519, 518, 523, 517, 511, 538, 519, 508, 497, 505, 
##     506, 547, 546, 532, 561, 552, 551, 545, 548, 547, 549, 559, 
##     551, 566, 571, 561, 566, 567, 559, 562, 579, 556, 569, 563, 
##     562, 569, 564, 566, 561, 561, 560, 586, 563, 575, 590, 598, 
##     603, 614, 524, 475, 451, 356, 286, 274, 278, 347, 343, 408, 
##     425, 476, 563, 580, 587, 585, 600, 589, 544, 535, 528, 534, 
##     542, 593, 581, 523, 512, 461, 431, 361, 308, 249, 243, 246, 
##     253, 255, 271, 299, 299, 450, 548, 582, 569, 546, 385, 396, 
##     445, 458, 515, 545, 540, 559, 564, 540, 532, 557, 561, 530, 
##     496, 450, 365, 251, 232, 238, 352, 384, 410, 476, 481, 550, 
##     592, 598, 540, 533, 523, 515, 544, 561, 592, 582, 562, 541, 
##     223, 204, 169, 166, 158, 179, 207, 270, 524, 563, 565, 592, 
##     617, 594, 538, 525, 603, -426, -436, -402, -304, -295, -245, 
##     -125, 88, 371, 441, 486, 510, 445, 408, 385, 358, 358, 370, 
##     376, 387, 417, 431, 527, 504, 482, 153, -46, -148, -237, 
##     -338, -378, -393, -410, -431, -432, -401, -331, -223, -4, 
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##     476, 508, 502, 258, 71, -354, -451, -445, -423, -390, -287, 
##     -242, -136, 69, 171, 344, 366, 429, 453, 470, 487, 467, 471, 
##     453, 450, 429, 418, 397, 378, 372, 377, 444, 432, 432, 430, 
##     424, 426, 427, 429, 433, 429, 428, 437, 433, 422, 429, 446, 
##     444, 495, 510, 520, 554, 549, 523, 494, 477, 422, 343, 349, 
##     371, 423, 525, 576, 577, 558, 560, 540, 524, 513, 441, 437, 
##     425, 427, 424, 436, 446, 458, 494, 490, 565, 541, 534, 466, 
##     354, 355, 325, 301, 317, 328, 360, 400, 419, 447, 508, 557, 
##     566, 507, 472, 437, 413, 426, 407, 407, 407, 424, 427, 479, 
##     504, 529, 567, 510, 323, 310, 262, 264, 287, 327, 335, 479, 
##     533, 572, 599, 574, 392, 393, 388, 439, 447, 459, 550, 511, 
##     479, 462, 415, 381, 300, 283, 414, 445, 536, 556, 571, 551, 
##     471, 416, 377, 369, 380, 371, 390, 391, 408, 549, 562, 573, 
##     536, 508, 474, 462, 409, 306, 298, 242, 263, 321, 415, 461, 
##     510, 574, 542, 509, 417, 402, 391, 401, 398, 432, 560, 571, 
##     568, 443, 355, 304, 215, 224, 224, 242, 278, 319, 333, 404, 
##     429, 461, 513, 534, 545, 526, 485, 463, 453, 411, 412, 394, 
##     412, 512, 518, 555, 531, 450, 283, 281, 269, 305, 424, 460, 
##     479, 511, 542, 482, 455, 444, 386, 355, 360, 373, 365, 379, 
##     445, 471, 511, 526, 522, 503, 377, 225, 325, 397, 470, 367, 
##     364, 367, 373, 407, 420, 564, 559, 413, 374, 274, 339, 404, 
##     439, 458, 531, 577, 564, 528, 432, 411, 382, 391, 402, 446, 
##     534, 565, 491, 379, 237, 253, 282, 326, 327, 374, 399, 411, 
##     442, 469, 574, 499, 437, 438, 435, 431, 451, 432, 429, 426, 
##     424, 435, 446, 440, 443, -266, -159, 26, 125, 166, 469, 510, 
##     423, 379, 375, 383, 390, 406, 415, 489, 504, 532, 384, 330, 
##     236, 155, 34, 268, 399, 458, 480, 502, 529, 545, 538, 529, 
##     523, 529, 519, 526, 515, 539, 568, 470, 477, 513, 548, 551, 
##     556, 557, 559, 561, 556, 564, 562, 558, 553, 543, 547, -494, 
##     -493, -531, -556, -564, -550, -532, -528, -459, -355, -296, 
##     -195, -117, -87, 117, 320, 348, 426, 451, 453, 423, 408, 
##     393, 410, 421, 426, 405, 402, 401, 397, 395, 391, 387, 360, 
##     366, 363, 361, 362, 370, 373, 389, 392, 430, 475, 477, 459, 
##     497, 495, 505, 517, 527, 531, 536, 555, 568, 566, 572, 585, 
##     595, 600, 630, 627, 638, 632, 590, 444, 367, 316, 254, 235, 
##     216, 214, 223, 209, 220, 228, 231, 254, 270, 532, 546, 570, 
##     558, 601, 595, 594, 599, 601, 616, 619, 610, 613, 603, 598, 
##     591, 595, 596, 591, 573, 554, 540, 531, 524, 523, 534, 619, 
##     608, 436, 421, 333, 310, 277, 234, 201, 164, 122, 117, 118, 
##     120, 154, 197, 297, 319, 403, 414, 518, 506, 505, 521, 551, 
##     541, 569, 571, 582, 552, 528, 485, 444, 283, 253, 233, 218, 
##     211, 199, 187, 195, 245, 283, 312, 376, 434, 463, 497, 559, 
##     597, 604, 589, 590, 587, 582, 574, 559, 553, 541, 531, 530, 
##     539, 537, 537, 588, 613, 630, 621, 622, 612, 598, 577, 568, 
##     531, 518, 397, 375, 233, 240, 238, 243, 259, 278, 258, 278, 
##     328, 381, 393, 447, 481, 539, 576, 575, 606, 605, 590, 589, 
##     581, 580, 577, 572, 562, 568, 544, 547, 579, 581, 591, 614, 
##     608, 590, 555, 327, 265, 243, 240, 216, 212, 598, 596, 577, 
##     553, 552, 544, 547, 549, 583, 588, 590, 617, 628, 631, 612, 
##     599, 574, 508, 477, 436, 421, 343, 219, 209, 192, 187, 179, 
##     175, 182, 188, 182, 191, 211, 214, 503, 544, 590, 572, 547, 
##     549, 538, 541, 527, 552, 567, 612, 591, 560, 551, 532, 464, 
##     421, 378, 272, 243, 231, 225, 212, 203, 209, 237, 352, 423, 
##     582, 581, 583, 570, 557, 546, 540, 529, 513, 500, 509, 495, 
##     533, 550, 593, 579, 542, 373, 318, 199, 198, 210, 219, 224, 
##     229, 237, 257, 298, 342, 385, 409, 463, 542, 557, 561, 571, 
##     571, 572, 580, 595, 591, 217, 264, 275, 317, 403, 433, 542, 
##     612, 606, 617, 633, 610, 614, 602, 596, 442, 492, 497, 541, 
##     597, 583, 550, 551, 551, 543, 553, 559, 556, 547, 555, 533, 
##     527, 530, 530, 538, 557, 555, 558, 575, 560, 562, 601, 598, 
##     375, 283, -25, -67, -150, -191, -366, -456, -490, -455, -409, 
##     -267, -131, 13, 210, 270, 337, 434, 543, 533, 419, 399, 327, 
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##     -404, -425, -441, -419, 587, 604, 602, 491, 493, 506, 524, 
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##     -357, -336, -259, -241, -200, -155, -120, 7, 143, 239, 284, 
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##     575, 557, 536, 510, 296, 212, 177, 151, 112, 79, 5, -40, 
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##     -458, -443, -412, -293, -196, -115, -94, 107, 192, 381, 483, 
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##     583, 567, 564, 474, 446, 435, 405, 361, 311, 231, 210, 199, 
##     186, 203, 269, 311, 368, 397, 512, 547, 551, 568, 576, 635, 
##     644, 598, 608, 586, 583, 600, 605, 624, 615, 582, 526, 441, 
##     443, 410, 396, 371, 344, 293, 269, 265, 234, 231, 226, 242, 
##     245, 269, 266, 283, 319, 362, 378, 460, 514, 528, 573, 584, 
##     632, 636, 636, 630, 616, 605, 566, 567, 591, 613, 615, 615, 
##     599, 461, 435, 423, 545, 559, 577, 585, 651, 649, 621, 607, 
##     550, 553, 570, 153, 156, 273, 280, 355, 383, 460, 468, 524, 
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##     578, 584, 621, 624, 577, 527, 492, 433, 422, 382, 363, 328, 
##     250, 208, 590, 614, 614, 606, 580, 559, 441, 382, 302, 292, 
##     264, 180, 388, 332, 303, 237, 228, 242, 263, 271, 283, 286, 
##     319, 348, 411, 431, 442, 468, 496, 534, 490, 497, 511, 605, 
##     610, 609, 589, 552, 560, 584, 557, 463, 308, 119, 117, 54, 
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##     -78, 170, 185, 235, 351, 448, 501, 540, 584, 429, 444, 439, 
##     482, 525, 565, 557, 518, -80, -172, -262, -296, -340, 423, 
##     410, 407, 408, 407, 440, 454, 443, 444, 444, 445, 438, 441, 
##     419, 438, 445, 459, 457, 471, 452, 455, 452, 452, 436, 438, 
##     425, 427, 428, 435, 473, 551, 570, 598, 606, 630, 610, 623, 
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##     583, 609, 591, 581, 564, 573, 290, 438, 482, 509, 514, 581, 
##     574, 590, 563, 531, 511, 517, 503, 523, 527, 535, 533, 516, 
##     526, 507, 483, 471, 472, 509, 573, 585, 580, 516, 426, 169, 
##     169, 178, 181, 486, 479, 446, 382, 333, 291, 218, 206, 220, 
##     266, 358, 489, 511, 559, 568, 569, 543, 551, 510, 484, 448, 
##     393, 348, 335, 300, 292, 385, 466, 552, 448, 415, 336, 324, 
##     327, 330, 346, 372, 390, 460, 477, 547, 564, 606, 496, 491, 
##     476, 473, 476, 474, 485, 594, 593, 582, 590, 525, 521, 518, 
##     562, 566, 561, 564, 533, 524, 513, 496, 485, 487, 429, 397, 
##     356, 314, 200, 176, 185, 164, 186, 254, 396, 251, -245, -293, 
##     -335, -355, -431, -458, -476, -493, -277, 578, 588, 521, 
##     506, 448, 388, 126, 98, 74, 52, -216, -211, -162, -71, -29, 
##     32, 30, 236, 294, 514, 567, 583, 594, 589, 580, 566, 455, 
##     331, 270, 188, 91, 52, 28, -54, -127, -248, -209, -170, -149, 
##     -115, 68, 41, -76, -90, -143, -235, -233, -132, 167, 295, 
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##     422, 285, 262, 158, 107, 86, 37, -84, -251, -207, -195, -153, 
##     -97, 52, 101, 224, 331, 371, 443, 526, 555, 573, 175, 199, 
##     240, 265, 311, 332, 440, 436, 485, 480, 508, 559, 588, 578, 
##     577, 558, 461, 458, 447, 448, 495, 515, 537, 589, 581, 579, 
##     557, 544, 524, 455, 405, 375, 375, 364, 374, 377, 373, 364, 
##     412, 456, 477, 484, 489, 495, 492, 490, 484, 493, 488, 490, 
##     481, 480, 400, 387, 360, 337, 292, 274, 30, -115, 109, 178, 
##     250, 321, 351, 447, 484, 515, 553, 543, 543, 535, 285, 243, 
##     133, 83, 53, -127, -231, -236, -164, -118, -77, -24, 16, 
##     529, 434, 426, 407, 392, 329, 199, 5, -162, -250, -274, -284, 
##     -255, -177, -84, -52, -9, 137, 187, 204, 317, 394, 558, 579, 
##     600, 598, 596, 582, 585, 486, 444, 409, 11, -40, -112, -153, 
##     -198, -219, -216, -203, -198, -135, 64, 175, 196, -326, -287, 
##     -217, -99, -42, -33, 24, 67, 223, 253, 268, 297, 428, 431, 
##     511, 525, 529, 538, 547, 544, 545, 541, 445, 417, 405, 371, 
##     354, 323, 295, 214, 15, -58, -91, -153, -233, -236, -271, 
##     519, 506, 511, 510, 502, 489, 26, -207, -246, -260, -276, 
##     -256, -229, -23, 56, 113, 330, 414, 444, 456, 480, 543, 554, 
##     553, 568, 574, 572, 561, 547, 542, 529, 446, 235, 199, 166, 
##     131, 96, -188, -157, -101, 143, 184, 197, 286, 416, 515, 
##     578, 579, 558, 545, 486, 474, 422, 413, -71, -104, -233, 
##     -263, -250, -220, -59, -40, 199, 259, 254, 266, 280, 308, 
##     388, 472, 505, 528, 560, 581, 601, 627, 471, 412, 389, 336, 
##     296, 270, 251, 255, 226, 198, 307, 339, 350, 375, 392, 441, 
##     444, 526, 590, 634, 625, 623, 630, 605, 600, 590, 600, 622, 
##     620, 573, 447, 394, 363, 352, 335, 281, 207, 165, 144, 129, 
##     9, -132, -154, -239, -226, -200, -171, -96, -46, -21, -10, 
##     176, 373, 421, 413, 469, 504, 534, 544, 560, 557, 540, 533, 
##     523, 495, 487, 472, 435, 407, 366, 275, 104, 71, -11, -16, 
##     -153, -170, -257, -249, -236, -213, -158, -147, -92, 265, 
##     286, 393, 410, 428, 451, 550, 550, 562, 568, 560, 533, 539, 
##     501, 415, 386, 273, 213, -13, -63, -75, -91, -96, -116, -169, 
##     -204, -212, -246, -170, -55, -22, 18, 315, 338, 413, 484, 
##     578, 585, 588, 578, 579, 563, 496, 405, 308, 242, 214, 165, 
##     -3, 142, 169, 282, 332, 434, 471, 489, 524, 552, 586, 581, 
##     586, 568, 531, 502, 505, 326, 293, 84, 61, 53, -32, -88, 
##     -141, -181, -237, -230, -245, -247, -250, -233, -227, -162, 
##     -48, 8, 110, 134, 280, 355, 392, 521, 605, 516, 244, 129, 
##     -58, -110, -83, 62, 141, 385, 541, 574, 627, 625, 626, 613, 
##     568, 539, 516, 520, 533, 561, 591, 618, 646, 631, 320, 199, 
##     122, -21, -37, -40, -39, -33, 53, 259, 362, 406, 426, 630, 
##     623, 643, 644, 601, 551, 516, 509, 495, 498, 523, 544, 557, 
##     564, 588, 614, 649, 467, 405, 618, 607, 581, 531, 545, 516, 
##     506, 511, 511, 507, 517, 530, 566, 590, 608, 599, 564, 541, 
##     531, 490, 464, 417, 139, -215, -266, -377, -463, -176, -163, 
##     154, 383, 427, 466, 503, 592, 620, 611, 565, 390, 381, 417, 
##     459, 495, 509, 562, 630, 619, 618, 527, 413, 306, 269, 196, 
##     134, -310, -403, -449, -473, -479, -188, -89, 332, 382, 568, 
##     631, 617, 500, 408, 377, 384, 415, 489, 502, 636, 639, 613, 
##     505, 458, 284, 244, -158, -284, -483, -385, -360, -121, 334, 
##     356, 606, 625, 663, 651, 609, 440, 402, 396, 466, 596, 618, 
##     589, 412, 284, 160, -43, -465, -506, -542, -533, -470, -396, 
##     5, 103, 199, 573, 618, 606, 586, 520, 484, 425, 398, 365, 
##     388, 549, 643, 624, 573, 552, 311, 263, 38, -166, -237, -335, 
##     -437, -451, -480, -500, -523, -512, -501, -486, -292, -221, 
##     -127, -47, 129, 237, 267, 571, 587, 621, 590, 514, 444, 426, 
##     423, 400, 425, 442, 458, 484, 508, 526, 581, 607, 614, 590, 
##     535, 453, 223, 195, -100, -139, -279, -501, -505, -499, -494, 
##     -468, -456, -391, -302, -156, 44, 221, 282, 418, 453, 625, 
##     620, 518, 425, 378, 387, 451, -449, -267, -215, 171, 361, 
##     417, 472, 528, 597, 594, 589, 598, 528, 461, 101, 275, 407, 
##     447, 597, 603, 592, 574, 560, 516, 538, 576, 586, 585, 594, 
##     608, 617, 606, 507, 459, 437, 361, 343, 278, 239, 229, 116, 
##     103, 99, 83, 108, 158, 237, 411, 449, 563, 588, 590, 582, 
##     583, 572, 576, 539, 537, 535, 545, 553, 566, 605, 620, 614, 
##     618, 579, 536, 156, 121, 119, 128, 144, 174, 244, 391, 514, 
##     529, 559, 572, 575, 580, 578, 575, 527, 530, 536, 555, 582, 
##     581, 477, 452, 416, 325, 257, 217, 181, 138, 133, 134, 240, 
##     285, 319, 333, 398, 494, 505, 525, 575, 559, 550, 543, 511, 
##     509, 524, 533, 545, 619, 583, 555, 533, 463, 350, 288, 247, 
##     160, 143, 99, 78, 84, 471, 481, 591, 611, 530, 534, 527, 
##     539, 536, 540, 548, 543, 536, 540, 551, 537, 554, 542, 544, 
##     555, 564, 563, 559, 572, 578, 579, 592, 593, 585, 570, 544, 
##     446, 424, 223, 281, 299, 407, 428, 445, 478, 469, 504, 523, 
##     527, 519, 487, 347, 88, 32, -43, -201, -208, -168, -131, 
##     -67, 0, 75, 100, 253, 278, 451, 572, 588, 587, 3, -172, -389, 
##     -256, -96, 97, 132, 192, 221, 549, 411, 401, 402, 414, 492, 
##     490, 482, 476, 484, 449, 448, 455, 459, 445, 450, 444, 431, 
##     437, 450, 437, 439, 440, 436, 437, 437, 436, 423, 427, 431, 
##     437, 422, 422, 422, 444, 431, 426, 429, 425, 420, 420, 427, 
##     465, 501, 536, 608, 607, 424, 426, 433, 432, 440, 440, 444, 
##     443, 493, 503, 509, 501, 500, 477, 493, 492, 488, 454, 378, 
##     165, 85, -26, -146, -202, -87, 31, 119, 164, 239, 267, 338, 
##     444, 459, 476, 512, 503, 502, 491, 464, 263, 128, -9, -144, 
##     -185, -175, -96, 18, 155, 218, 286, 375, 511, 484, 472, 468, 
##     385, 323, 278, 248, 129, 108, -131, -164, -25, 323, 484, 
##     516, 543, 548, 546, 526, 517, 391, 279, -48, -118, -166, 
##     -184, -184, 7, 45, 157, 263, 339, 476, 489, 513, 528, 524, 
##     509, 496, 419, 342, 222, 58, 467, 452, 431, 279, 191, 136, 
##     94, -61, -142, -178, -222, -214, -143, -77, -33, 37, 121, 
##     155, 176, 346, 395, 461, 503, 524, 519, 366, 63, -135, -193, 
##     -248, -264, -250, -224, -209, -104, -38, 14, 34, 373, 487, 
##     510, 523, 516, 513, 441, 368, 351, 296, 178, -77, -89, -103, 
##     -123, -48, -1, 80, 114, 139, 182, 363, 372, 410, 466, 471, 
##     466, 440, 427, 408, 399, 364, 297, 243, -116, -150, -149, 
##     -189, -190, -114, 28, -64, -128, -160, -204, -196, -154, 
##     -141, 48, 490, 499, 508, 489, 495, 487, 585, 588, 579, 569, 
##     582, 576, 568, 584, 581, 615, 626, 566, 559, 520, 491, 488, 
##     484, 480, 485, 482, 521, 552, 566, 586, 149, 131, 132, 135, 
##     130, 140, 134, 176, 181, 209, 241, 315, 316, 349, 478, 501, 
##     571, 562, 541, 540, 542, 546, 520, 513, 504, 638, 618, 611, 
##     581, 572, 558, 541, 425, 428, 423, 434, 437, 441, 504, 393, 
##     375, 352, 321, 254, 216, 171, 25, -99, -139, -249, -289, 
##     -247, 482, 476, 453, 432, 416, 372, 250, 217, 29, -17, -110, 
##     -120, -167, -215, -229, -223, -238, -217, -176, -144, -122, 
##     164, 203, 225, 343, 420, 511, 509, 535, 10, -13, -87, -96, 
##     -139, -149, -159, -137, -126, -91, -45, 15, 97, 160, 175, 
##     209, 258, 431, 565, 572, 581, 605, 596, 594, 578, 470, 419, 
##     388, 372, 342, 327, 267, 1, -26, -94, -118, -126, -88, -102, 
##     1, 58, 380, 508, 517, 545, 610, 625, 618, 613, 594, 589, 
##     567, 527, 513, 478, 362, 115, 75, 35, -16, -36, -111, -103, 
##     -98, -84, -37, 49, 92, 112, 476, 552, 544, 564, 559, 574, 
##     558, 550, 541, 527, 529, 478, 461, 422, 377, 518, 556, 284, 
##     180, -21, -58, -133, -159, -182, -190, -199, -231, -221, 
##     -198, -185, -68, -54, -18, 30, 556, 585, 582, 583, 571, 556, 
##     503, 447, 297, 210, 119, -178, 2, 94, 154, 176, 288, 303, 
##     425, 467, 469, 480, 483, 485, 454, 442, 448, 456, 463, 467, 
##     463, 484, 503, 514, 525, 511, 525, 537, 547, 539, 557, 559, 
##     511, 521, 539, 540, 539, 544, 551, 573, 584, 600, 622, 640, 
##     596, 598, 521, 323, 312, 288, 256, 163, 162, 242, 259, 258, 
##     287, 316, 320, 357, 438, 451, 532, 554, 591, 594, 612, 589, 
##     591, 621, 590, 548, 491, 446, 399, 381, 373, 258, 245, 247, 
##     159, 106, 99, 108, 297, 331, 364, 529, 564, 626, 636, 623, 
##     610, 608, 583, 180, 179, 171, 187, 181, 192, 213, 211, 215, 
##     278, 294, 322, 337, 393, 419, 436, 573, 589, 623, 625, 640, 
##     635, 593, 592, 580, 586, 583, 600, 601, 613, 608, 618, 619, 
##     635, 611, 547, 506, 480, 456, 439, 434, 409, 297, 290, 236, 
##     187, 153, 149, 144, 152, 162, 179, 189, 219, 247, 338, 417, 
##     430, 471, 503, 498, 518, 534, 542, 586, 585, 610, 615, 615, 
##     496, 470, 454, 415, 352, 346, 297, 210, 203, 181, 182, 181, 
##     187, 199, 210, 221, 238, 251, 307, 311, 450, 473, 576, 613, 
##     635, 619, 619, 612, 587, 520, 476, 467, 462, 394, 343, 323, 
##     273, 276, 264, 255, 260, 253, 137, -11, -99, -134, -194, 
##     -202, -222, -252, -219, -136, -127, -113, -64, 133, 113, 
##     52, -19, -64, -71, -90, -123, -168, -171, -178, -188, -181, 
##     -171, -168, -159, -123, -108, -38, 65, 119, 252, 255, 484, 
##     496, 526, 528, 508, 363, 631, 641, 638, 643, 624, 597, 593, 
##     590, 575, 586, 599, 600, 618, 623, 661, 656, 651, 632, 575, 
##     493, 516, 547, 568, 603, 612, 631, 625, 624, 568, 612, 607, 
##     600, 595, 593, 588, 593, 602, 609, 613, 617, 598, 612, 558, 
##     531, 527, 588, 601, 580, 582, 591, 623, 624, 627, 648, 630, 
##     609, 593, 510, 385, 350, 324, -48, -3, 93, 172, 434, 493, 
##     479, 468, 414, 366, 7, -86, -182, -186, -189, -153, -126, 
##     -53, -19, 40, 126, 248, 315, 359, 502, 519, 487, 481, 479, 
##     482, 483, 482, 483, 483, 572, 538, 511, 500, 472, 451, 428, 
##     422, 398, 400, 406, 413, 423, 418, 422, 436, 426, 427, 631, 
##     641, 637, 624, -52, -136, -450, -462, -477, -151, 32, 83, 
##     563, 622, 624, 623, 594, 576, 540, 481, 440, 433, 420, 416, 
##     422, 440, 506, 589, 503, 341, 267, 195, 52, 40, 9, -15, 4, 
##     16, 47, 97, 223, 397, 468, 507, 541, 580, 615, 581, 549, 
##     515, 494, 490, 497, 506, 514, 524, 573, 617, 630, 632, 634, 
##     582, 268, 175, 98, 50, -5, 53, 143, 369, 511, 538, 601, 625, 
##     627, 639, -281, -267, -178, -156, 5, 61, 134, 299, 390, 465, 
##     482, 488, 509, 510, 302, 493, 519, 560, 553, 551, 546, 499, 
##     461, 386, 367, 297, 275, -10, 302, 339, 373, 449, 515, 512, 
##     521, 245, -14, -37, -79, -104, -185, -157, -139, -76, 4, 
##     66, 107, 148, 161, 390, 10, 45, 139, 165, 193, 254, 257, 
##     301, 406, 422, 480, 513, 567, 573, 549, 205, 161, 402, 349, 
##     286, 227, 209, 134, 15, -58, -128, -212, -150, -24, 72, 169, 
##     211, -268, -241, -121, 64, 369, 456, 505, 511, 646, 642, 
##     568, 532, 522, 517, 413, 332, 265, 193, 165, 144, 51, 72, 
##     81, 92, 92, 538, -513, -496, -477, -458, -407, -249, 37, 
##     236, 402, 480, 499, 522, 536, 545, 546, 531, 531, 497, 498, 
##     469, 471, 487, 554, 559, 474, 366, 101, -73, -166, -363, 
##     -415, -498, -517, -534, -547, -522, -495, -449, -427, -272, 
##     -221, 82, 138, 244, 313, 368, 415, 520, 543, 562, 577, 565, 
##     529, 542, 525, 525, 529, 552, 578, 589, 591, 380, 169, -269, 
##     -374, -422, -454, -536, -558, -562, -553, -555, -555, -525, 
##     -513, -487, -454, -406, -333, -229, -142, -20, 69, 210, 435, 
##     475, 560, 578, 584, 560, 550, 541, 524, 507, 495, -286, -514, 
##     -548, -539, -556, -566, 584, 590, 567, 531, 496, 398, 121, 
##     -32, -103, -118, -170, -250, -235, -205, -167, -52, 201, 
##     323, 387, 448, 487, 535, 562, 582, 578, 557, 504, 468, 436, 
##     382, 319, 159, 84, 67, -58, -80, -235, -245, -247, -163, 
##     -100, -74, -33, 34, 133, 143, 237, 423, 438, 450, 537, 550, 
##     560, 569, 559, 528, 303, 211, 136, 4, -29, -204, -229, -248, 
##     -245, -197, -175, -5, 57, 217, 237, 390, 400, 420, 457, 551, 
##     566, 574, 558, 545, 540, 519, 476, 400, 164, 114, 7, -69, 
##     -87, -217, -243, -285, -277, -250, -192, -160, -64, 550, 
##     536, 537, 549, 535, 556, 552, 572, 587, 397, 1, -207, -341, 
##     -439, -500, -500, -525, -506, -513, -509, -522, -510, -518, 
##     -511, -500, -508, -465, -351, -243, -194, 280, 420, 498, 
##     542, 536, 538, 552, 568, 586, 585, 592, 560, 502, 314, 194, 
##     128, 83, 5, 437, 537, 557, 578, 592, 604, 590, 584, 579, 
##     579, 567, 376, 309, 215, 13, -264, -428, -519, -505, -513, 
##     -515, -507, -494, -376, 253, 330, 530, 570, 560, 596, 586, 
##     564, 531, -503, -518, -505, -503, -506, -480, -468, -397, 
##     -176, -150, 108, 315, 319, 560, 562, 559, 573, 575, 587, 
##     535, 488, 444, 422, 378, 255, 183, -212, -283, -367, -386, 
##     -397, -438, -471, -387, -198, -139, -90, -2, 58, 226, 394, 
##     446, 514, 574, 570, 568, 570, 587, 571, 577, 559, 537, 502, 
##     462, 448, 358, 242, 117, -213, -349, -388, -402, -412, -450, 
##     -441, -433, -400, -289, -271, -164, -103, 15, 101, 127, 243, 
##     333, 388, 548, 554, 562, 555, 523, 566, 577, 615, 273, 123, 
##     -108, -181, -367, -396, -414, -403, -420, -414, -406, -400, 
##     -304, -32, 1, 65, 305, 551, 455, 456, 521, 523, 546, 564, 
##     578, 564, 555, 553, 521, 472, 421, 447, 516, 549, 567, 448, 
##     360, -254, -339, -382, -446, -498, -519, -442, -104, 102, 
##     220, 523, 593, 589, 552, 534, 514, 464, 471, 482, 504, 540, 
##     552, 565, 600, 569, 538, 338, 296, -389, -467, -495, -461, 
##     -369, -225, -150, 126, 196, 284, 371, 549, 545, 519, 485, 
##     461, 443, 444, 441, 573, 568, 554, 432, 381, 348, 173, -53, 
##     -200, -473, -342, -184, -129, -99, 546, 563, 593, 605, 594, 
##     598, 564, 551, 518, 455, 399, 269, 248, 224, 199, 177, 135, 
##     -16, -36, -113, -120, -139, -143, -206, -204, -107, -37, 
##     13, 93, 125, 270, 354, 352, 397, 471, 506, 535, 561, 577, 
##     591, 593, 584, 553, 550, 518, -53, -72, -79, -91, -126, -246, 
##     -258, -290, -265, -239, -2, 35, 62, 116, 183, 268, 279, 310, 
##     342, 387, 498, 552, 560, 514, 480, 362, 272, 226, 155, 113, 
##     94, 61, 1, -62, -87, -97, -149, -168, -185, -205, -203, -250, 
##     -271, -257, -168, -130, 141, 274, 406, 434, 434, 474, 481, 
##     492, 506, 507, 520, 554, 574, 597, 575, 553, 555, 391, 373, 
##     320, 261, 220, 183, 122, 32, -64, -105, -170, -183, -247, 
##     -322, -359, -369, -347, -262, -245, -153, -131, -45, -31, 
##     79, 174, 215, 252, 271, 339, 379, 474, 507, 530, 582, 608, 
##     650, 650, 643, 624, 599, 595, 591, 592, 598, 614, 596, 607, 
##     612, 593, 631, 634, 634, 621, 502, 208, 188, 102, 4, -238, 
##     -264, -327, -351, -344, -359, -201, 341, 388, 437, 474, 535, 
##     560, 633, 639, 637, 608, 612, 595, 590, 605, 616, 608, 598, 
##     410, 343, 307, 193, 117, 70, -32, -38, -161, -205, -230, 
##     -274, -269, -293, -269, -209, -157, 206, 221, 295, 307, 448, 
##     508, 562, 584, 620, 642, 642, 644, 647, 592, 597, 610, 646, 
##     647, 641, 563, 531, 507, 185, 118, 50, -90, -106, -141, -154, 
##     -274, -328, -350, -363, -373, -332, -317, -278, -158, -68, 
##     -25, 8, 66, 147, 169, 262, 317, 375, 443, 447, 494, 490, 
##     516, 533, 573, 480, 448, 403, 299, 287, 147, -23, -102, -186, 
##     -209, -261, -304, -302, -308, -318, -288, -240, -232, -214, 
##     -123, 138, 177, 246, 316, 345, 398, 574, 633, 656, 660, 653, 
##     648, 621, 621, 605, 592, 593, 594, 636, 646, 663, 654, 644, 
##     629, 618, 471, 390, 150, 100, 41, -71, -132, -176, -248, 
##     -312, -355, -372, -358, -310, -263, -219, -189, -69, 26, 
##     281, 323, 429, 628, 633, 636, 626, 624, 575, 569, 573, 610, 
##     609, 617, 629, 599, 583, 571, 522, 511, 390, 76, -129, -143, 
##     -171, -351, -368, -370, -357, -356, -332, -289, -275, -262, 
##     -220, -73, -6, 47, 72, 120, 193, 496, 598, 635, 629, 670, 
##     642, 629, 669, 673, 677, 663, 646, 623, 471, 397, 348, 326, 
##     49, 27, -171, -273, -311, -337, -396, -327, -195, -104, -38, 
##     3, 25, 120, 406, 451, 621, 640, 649, 639, 602, 590, 589, 
##     581, 527, 434, 411, 391, 377, 440, 607, 628, 484, 441, 375, 
##     270, 148, -107, -143, -233, -337, -518, -505, -357, -83, 
##     31, 93, 228, 296, 380, 476, 505, 627, 551, 516, 375, 378, 
##     388, 441, 616, 623, 595, 589, -76, -139, -467, -496, -533, 
##     -503, -173, -76, 107, 173, 545, 558, 544, 534, 547, 535, 
##     519, 525, 541, 537, 608, 621, 571, 535, 404, 360, -110, -179, 
##     -257, -382, -394, -432, -460, -471, -468, -457, -424, -390, 
##     -310, 195, 223, 283, 437, 402, 316, 290, 255, 23, -36, -380, 
##     -465, -451, -286, -225, -133, 158, 176, 226, 289, 392, 456, 
##     455, 483, 444, 283, 181, 106, -70, -114, -243, -326, -377, 
##     -510, -517, -436, -388, -346, -65, 163, 429, 463, 496, 487, 
##     476, 455, 419, 382, 319, 66, 21, -96, -461, -505, -518, -502, 
##     -460, -328, -272, -215, -149, -118, 1, 71, 120, 219, 312, 
##     403, 426, 496, 517, 520, 536, 513, 501, 404, 378, 191, 118, 
##     11, -222, -508, -484, 350, 273, 183, 75, -3, -36, -308, -423, 
##     -464, -516, -506, -478, -452, -421, -103, -43, 284, 300, 
##     335, 412, 439, 488, 598, 617, 603, 598, 588, 517, 382, 330, 
##     223, 199, -77, -116, -331, -367, -406, -508, -510, -362, 
##     -335, 12, 110, 224, 372, 467, 553, 566, 539, 454, 386, 315, 
##     236, -23, -96, -198, -340, -478, -503, -483, -446, -395, 
##     -340, -292, -67, 93, 268, 333, 384, 410, 423, 528, 540, 521, 
##     492, 456, -74, -110, -307, -408, -422, -501, 502, 466, 310, 
##     71, -72, -198, -471, -496, -521, -514, -499, -489, -468, 
##     484, 490, 481, 473, 480, 480, 473, 475, 473, 474, 471, 473, 
##     476, 485, 488, 471, 473, 466, 480, 466, 470, 472, 479, 478, 
##     479, 472, 487, 474, 471, 475, 472, 471, 482, 507, 493, 510, 
##     530, 524, 526, 544, 540, 535, 534, 525, 517, 505, 496, 475, 
##     462, 440, 432, 472, 476, 484, 497, 509, 527, 522, 526, 531, 
##     519, 500, 508, 501, 509, 502, 507, 511, 527, 514, 508, 505, 
##     512, 517, 525, 523, 513, 522, 508, 522, 508, 519, 512, 514, 
##     519, 527, 509, 509, 503, 511, 516, 510, 526, 507, 514, 508, 
##     505, 507, 505, 506, 505, 500, 508, 505, 519, 499, 514, 501, 
##     508, 512, 509, 517, 538, 554, 585, 599, 584, 487, 488, 443, 
##     431, 432, 444, 441, 444, 453, 463, 471, 469, 465, 460, 449, 
##     442, 466, 491, 519, 592, 394, 367, 278, 237, 87, -20, -209, 
##     -264, -423, -408, -359, -299, -257, -190, -165, -98, 62, 
##     482, 526, 517, 512, 439, 367, 374, 534, 554, -181, -213, 
##     -345, -384, -339, -181, -112, -25, 362, 402, 527, 486, 463, 
##     401, 376, 499, 527, 533, 342, 432, 550, 552, 531, 487, 289, 
##     179, 57, -16, -200, -246, -308, -304, -274, 3, 106, 209, 
##     303, 491, 529, 520, 498, 373, 383, 388, 436, 455, 438, 390, 
##     390, 460, 541, 541, 400, 178, 126, -103, -246, 543, 546, 
##     123, 84, -25, -121, -241, -284, -287, -258, -208, -145, -56, 
##     57, 299, 455, 534, 543, 393, 403, 523, 507, 453, 211, -206, 
##     -231, -272, 597, 585, 586, 586, 586, 560, 475, 397, 263, 
##     31, -112, -170, -192, -179, -190, -190, -142, -141, -111, 
##     -66, 12, 31, 78, 119, 189, 341, 369, 367, 452, 478, 512, 
##     536, 556, 574, 579, 583, 582, 589, 581, 594, 595, 576, 572, 
##     566, 515, 482, 392, 285, 34, -2, -58, -183, -197, -196, -165, 
##     -131, -72, -66, 16, 152, 237, 272, 286, 321, 367, 385, 441, 
##     482, 494, 497, 520, 543, 565, 561, 562, 555, 542, 543, 537, 
##     468, 326, -249, -271, -250, -242, -231, -195, -156, 218, 
##     275, 473, 506, 505, 560, 594, 599, 606, 612, 608, 583, 564, 
##     558, 533, 496, 490, 469, 411, 352, 291, 168, 112, 88, 3, 
##     -42, -106, -251, -281, -334, -350, -342, -333, -316, -297, 
##     -291, -293, -288, -274, -276, -208, -192, -130, -62, 30, 
##     258, 418, 426, 543, 559, 570, 573, 584, 568, 552, 556, 521, 
##     529, 533, 524, 510, 506, 501, 511, 523, 524, 526, 535, 538, 
##     551, 559, 559, 570, 575, 580, 590, 543, 542, 530, 518, 520, 
##     516, 532, 607, 594, 472, 444, 386, 293, 178, 114, 57, -44, 
##     -358, -510, -559, -581, -584, -595, -590, -590, -582, -586, 
##     -581, -565, -552, -412, -310, -243, -148, 619, 625, 620, 
##     612, 557, 418, 351, 219, 125, -139, -200, -288, -338, -340, 
##     -457, -483, -537, -574, -578, -562, -566, -552, -429, -354, 
##     -334, -255, -189, 126, 315, 336, 485, 516, 524, 551, 555, 
##     557, 577, 577, 572, 501, 490, 491, 538, 543, 618, 590, 440, 
##     291, 96, 14, -146, -160, -341, -436, -470, -534, -534, -555, 
##     -549, -535, -533, -496, -467, 516, 480, 481, 482, 536, -50, 
##     -172, -272, -407, -229, -213, -112, -90, -44, 24, 153, 287, 
##     455, 476, 240, 319, 372, 448, 487, 539, 557, 565, 502, 482, 
##     512, 522, 524, 514, 525, 610, 517, 517, 532, 526, 531, 511, 
##     519, 510, 516, 504, 513, 502, 517, 604, 562, 440, 96, -211, 
##     -262, -330, -371, -340, -286, -39, 166, 555, 518, 478, 468, 
##     458, 50, 333, 354, 552, 567, 547, 462, 417, 412, 426, 443, 
##     464, 491, 533, 576, 575, 562, 553, 463, 404, 374, -11, -105, 
##     -159, -328, -30, 71, 298, 575, 580, 563, 534, 503, 462, 412, 
##     402, 395, 422, 466, 479, 483, 530, 579, 287, 11, -57, -152, 
##     -186, -330, -418, -387, -327, -224, -145, 11, 119, 514, 531, 
##     551, 23, 93, 141, 314, 414, 523, 554, 552, 534, 459, 363, 
##     366, 359, 369, -320, -269, -133, 23, 124, 281, 349, 457, 
##     575, 629, 624, 622, 572, 545, 493, 453, 422, 381, 382, 377, 
##     392, 586, 611, 608, 537, 502, 379, 149, 22, -262, -387, -411, 
##     449, 442, 425, 424, 421, 429, 385, 384, 390, 391, 395, 415, 
##     406, 443, 451, 468, 466, 475, 477, 471, 473, 485, 479, 476, 
##     478, 476, 484, -288, -293, 19, 331, 383, 400, 471, 484, 496, 
##     486, 423, 364, 367, 366, 373, 388, 444, 487, 205, 105, 0, 
##     -351, -313, -154, -23, 63, 223, 302, 388, 559, 575, 589, 
##     625, 643, 600, 592, 606, 608, 614, 613, 626, 621, 640, 633, 
##     625, 608, -234, -92, -68, -17, 171, 240, 266, 317, 450, 457, 
##     495, 496, 386, 392, 419, 464, 511, 556, 553, 543, 462, 434, 
##     349, -55, -296, -272, -251, -163, -80, 20, 152, 469, 352, 
##     -47, -128, -247, -302, -333, -297, -258, -184, -163, 11, 
##     103, 384, 481, 509, 502, 396, 381, 466, 461, 465, 467, 483, 
##     471, 472, 475, 472, 486, 473, 472, 476, 478, -501, -287, 
##     181, 231, 353, 440, 483, 567, 602, 611, 630, 617, 622, 614, 
##     -439, -397, -180, 169, 548, 541, 578, 587, 614, 638, 606, 
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##     10, 10, 10, 9, 9, 8, 6, 6, 6, 6, 6, 5, 5, 8, 8, 7, 9, 8, 
##     9, 9, 9, 9, 9, 10, 10, 9, 9, 10, 9, 9, 9, 10, 10, 10, 9, 
##     9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 
##     6, 8, 9, 8, 8, 9, 8, 10, 8, 8, 8, 7, 6, 6, 5, 6, 6, 6, 9, 
##     8, 7, 9, 8, 8, 8, 8, 8, 9, 10, 9, 10, 9, 9, 8, 6, 7, 9, 8, 
##     9, 9, 8, 6, 5, 5, 6, 6, 8, 6, 9, 10, 7, 9, 8, 9, 8, 8, 9, 
##     8, 8, 9, 18, 18, 18, 18, 18, 18, 19, 18, 18, 19, 19, 19, 
##     18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
##     19, 19, 20, 19, 19, 19, 19, 20, 19, 20, 19, 19, 19, 19, 20, 
##     20, 19, 20, 19, 19, 20, 19, 19, 19, 19, 19, 19, 19, 20, 18, 
##     18, 18, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 18, 
##     18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
##     17, 18, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 2, 3, 3, 17, 18, 17, 
##     17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 
##     18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 19, 18, 
##     18, 19, 18, 18, 18, 19, 19, 19, 19, 19, 19, 18, 19, 19, 19, 
##     19, 19, 19, 19, 19, 19, 19, 17, 17, 18, 18, 17, 17, 17, 16, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 17, 18, 18, 17, 17, 17, 17, 18, 17, 18, 18, 17, 17, 18, 
##     18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 16, 16, 17, 18, 19, 
##     18, 19, 17, 16, 18, 15, 17, 16, 17, 16, 16, 16, 16, 16, 15, 
##     16, 16, 16, 16, 16, 16, 16, 17, 17, 16, 18, 18, 19, 20, 21, 
##     21, 21, 21, 21, 21, 18, 18, 17, 17, 17, 18, 17, 16, 17, 16, 
##     18, 17, 17, 17, 17, 16, 16, 16, 16, 17, 17, 16, 15, 16, 16, 
##     16, 16, 16, 16, 17, 17, 18, 17, 17, 18, 18, 18, 18, 19, 20, 
##     21, 21, 21, 21, 21, 21, 17, 15, 17, 16, 16, 17, 16, 16, 16, 
##     16, 15, 16, 16, 15, 16, 16, 16, 16, 16, 15, 17, 18, 18, 19, 
##     20, 20, 21, 21, 21, 20, 21, 19, 20, 20, 18, 19, 17, 17, 18, 
##     17, 16, 16, 17, 16, 15, 15, 16, 16, 16, 15, 16, 15, 16, 16, 
##     16, 16, 16, 16, 17, 17, 18, 18, 18, 17, 18, 19, 19, 18, 19, 
##     20, 20, 20, 21, 20, 20, 20, 21, 20, 20, 20, 20, 19, 17, 17, 
##     17, 16, 18, 16, 16, 16, 15, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 17, 17, 17, 18, 19, 19, 19, 19, 19, 20, 21, 
##     21, 21, 20, 17, 15, 16, 16, 16, 16, 15, 16, 16, 17, 17, 17, 
##     17, 18, 18, 19, 19, 20, 20, 19, 20, 20, 20, 20, 20, 21, 21, 
##     21, 20, 21, 20, 20, 19, 18, 19, 18, 18, 18, 17, 18, 17, 17, 
##     17, 16, 17, 17, 17, 16, 16, 17, 17, 16, 17, 17, 16, 17, 17, 
##     16, 16, 16, 21, 21, 20, 20, 20, 20, 19, 20, 19, 19, 18, 18, 
##     18, 19, 18, 19, 17, 17, 17, 18, 17, 17, 16, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 2, 3, 4, 5, 5, 5, 5, 5, 4, 3, 3, 3, 2, 1, 2, 
##     1, 2, 1, 3, 1, 2, 3, 3, 4, 4, 3, 3, 2, 2, 3, 3, 3, 2, 2, 
##     2, 2, 4, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 5, 6, 7, 7, 7, 
##     9, 6, 5, 6, 5, 3, 4, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 
##     2, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 
##     1, 1, 0, 1, 2, 5, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 
##     2, 2, 2, 2, 1, 1, 1, 2, 3, 5, 6, 6, 6, 8, 8, 6, 6, 5, 4, 
##     4, 4, 3, 1, 2, 2, 2, 1, 1, 2, 2, 4, 3, 1, 2, 2, 2, 2, 1, 
##     1, 4, 4, 5, 5, 6, 7, 7, 6, 4, 3, 5, 3, 2, 3, 1, 5, 5, 4, 
##     5, 6, 5, 4, 2, 3, 2, 1, 2, 2, 2, 2, 4, 2, 3, 4, 3, 2, 2, 
##     2, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 6, 5, 6, 7, 4, 4, 4, 3, 
##     4, 2, 2, 4, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 
##     3, 3, 2, 3, 3, 4, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 6, 7, 7, 
##     6, 6, 5, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 
##     4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 
##     4, 4, 6, 10, 12, 17, 17, 18, 20, 20, 21, 20, 20, 16, 10, 
##     9, 4, 4, 3, 3, 3, 5, 3, 5, 6, 3, 3, 3, 4, 5, 3, 2, 3, 3, 
##     7, 8, 30, 31, 31, 31, 30, 31, 31, 30, 30, 30, 31, 30, 30, 
##     31, 31, 30, 31, 31, 31, 31, 30, 30, 30, 31, 31, 31, 31, 30, 
##     30, 30, 30, 30, 30, 30, 30, 31, 31, 30, 30, 30, 31, 30, 30, 
##     31, 31, 31, 30, 30, 30, 30, 31, 30, 30, 30, 30, 30, 31, 31, 
##     31, 30, 30, 30, 30, 31, 31, 30, 30, 30, 31, 30, 30, 30, 31, 
##     30, 31, 31, 30, 30, 30, 31, 31, 30, 30, 30, 31, 30, 30, 31, 
##     30, 30, 31, 30, 30, 31, 30, 30, 30, 31, 30, 30, 30, 31, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 30, 
##     31, 28, 29, 31, 30, 30, 31, 31, 31, 30, 31, 31, 31, 31, 30, 
##     30, 31, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 30, 30, 30, 
##     30, 30, 30, 30, 29, 30, 29, 30, 29, 29, 29, 30, 30, 30, 29, 
##     29, 30, 29, 29, 30, 29, 29, 29, 30, 30, 29, 29, 30, 30, 30, 
##     29, 29, 30, 30, 30, 30, 29, 30, 30, 30, 30, 29, 30, 30, 29, 
##     30, 30, 29, 29, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 3, 3, 4, 
##     4, 3, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 1, 2, 3, 
##     1, 2, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 3, 4, 3, 4, 4, 4, 
##     5, 5, 5, 4, 3, 3, 2, 4, 3, 2, 4, 4, 3, 4, 3, 3, 3, 4, 6, 
##     5, 1, 3, 3, 3, 2, 1, 3, 3, 3, 3, 3, 1, 2, 2, 1, 4, 3, 2, 
##     4, 4, 2, 2, 3, 4, 4, 3, 2, 4, 4, 3, 2, 3, 2, 3, 2, 3, 3, 
##     2, 3, 3, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 5, 4, 3, 3, 3, 3, 
##     3, 2, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 2, 1, 3, 2, 4, 1, 3, 
##     3, 3, 4, 3, 3, 2, 3, 2, 2, 1, 1, 1, 2, 2, 2, 1, 4, 2, 3, 
##     1, 2, 2, 1, 0, 2, 4, 5, 2, 1, 3, 2, 2, 1, 1, 3, 2, 2, 2, 
##     2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 
##     1, 2, 3, 1, 3, 2, 2, 3, 1, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 
##     2, 2, 1, 2, 2, 3, 3, 1, 1, 1, 2, 1, 3, 1, 2, 2, 3, 3, 1, 
##     1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 
##     2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 4, 4, 4, 2, 2, 
##     2, 2, 2, 2, 4, 2, 3, 2, 1, 3, 1, 1, 1, 3, 2, 2, 2, 2, 2, 
##     1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 4, 3, 3, 3, 
##     2, 2, 2, 5, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 
##     29, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 30, 29, 30, 29, 
##     30, 30, 29, 29, 30, 30, 30, 30, 29, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 30, 
##     30, 30, 30, 30, 30, 29, 30, 30, 29, 30, 30, 30, 29, 30, 29, 
##     29, 30, 30, 29, 30, 30, 29, 29, 30, 30, 30, 30, 29, 30, 30, 
##     29, 29, 30, 30, 30, 30, 29, 29, 30, 30, 30, 30, 30, 29, 29, 
##     29, 30, 29, 30, 30, 30, 30, 30, 29, 29, 29, 30, 30, 29, 30, 
##     30, 29, 29, 29, 29, 29, 30, 30, 30, 29, 29, 30, 29, 30, 29, 
##     29, 30, 29, 29, 29, 29, 30, 30, 30, 30, 29, 30, 30, 30, 30, 
##     30, 30, 28, 29, 30, 29, 29, 31, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 30, 29, 29, 
##     30, 30, 30, 30, 30, 29, 29, 29, 29, 30, 29, 30, 29, 30, 30, 
##     29, 30, 29, 29, 29, 29, 29, 30, 29, 29, 29, 28, 31, 32, 30, 
##     31, 31, 30, 30, 30, 30, 31, 33, 32, 33, 33, 32, 35, 33, 33, 
##     33, 31, 32, 30, 32, 31, 31, 31, 29, 31, 30, 29, 30, 32, 28, 
##     29, 30, 31, 30, 29, 30, 29, 29, 31, 31, 31, 31, 32, 33, 32, 
##     32, 32, 32, 33, 33, 32, 33, 34, 34, 33, 33, 32, 31, 32, 32, 
##     29, 32, 31, 29, 29, 28, 29, 31, 31, 29, 30, 31, 31, 31, 31, 
##     32, 32, 33, 34, 34, 34, 34, 32, 33, 32, 33, 32, 31, 31, 31, 
##     30, 32, 31, 30, 28, 30, 30, 31, 31, 32, 31, 32, 32, 32, 33, 
##     34, 34, 34, 33, 34, 33, 33, 34, 33, 34, 32, 32, 31, 32, 30, 
##     30, 30, 30, 30, 30, 31, 31, 31, 31, 33, 33, 34, 32, 32, 33, 
##     32, 34, 31, 28, 29, 29, 31, 30, 30, 30, 29, 30, 30, 30, 29, 
##     31, 31, 32, 30, 31, 31, 33, 32, 32, 33, 32, 34, 31, 32, 32, 
##     33, 32, 31, 31, 32, 30, 31, 30, 31, 32, 29, 28, 29, 29, 30, 
##     29, 30, 29, 30, 30, 30, 31, 30, 32, 33, 32, 31, 31, 30, 31, 
##     30, 30, 29, 29, 29, 29, 30, 28, 29, 29, 29, 29, 29, 29, 30, 
##     30, 29, 30, 30, 31, 30, 30, 32, 32, 32, 32, 33, 32, 32, 33, 
##     33, 32, 32, 32, 32, 31, 31, 30, 33, 33, 29, 29, 31, 30, 30, 
##     30, 31, 29, 29, 29, 30, 31, 31, 32, 31, 31, 33, 33, 33, 35, 
##     32, 32, 34, 33, 33, 32, 30, 31, 28, 29, 30, 29, 29, 29, 29, 
##     31, 32, 39, 39, 39, 39, 39, 38, 38, 38, 39, 39, 39, 39, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 17, 17, 17, 
##     18, 18, 19, 19, 19, 20, 20, 20, 21, 16, 16, 16, 16, 15, 16, 
##     16, 16, 16, 16, 17, 17, 17, 18, 17, 19, 19, 18, 18, 18, 18, 
##     16, 17, 17, 17, 21, 21, 21, 21, 20, 20, 19, 20, 18, 19, 19, 
##     17, 21, 21, 20, 21, 20, 20, 19, 20, 18, 18, 18, 18, 18, 19, 
##     20, 21, 21, 21, 21, 20, 20, 19, 18, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 18, 18, 18, 17, 18, 
##     17, 17, 16, 17, 16, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 
##     2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 
##     2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 6, 3, 2, 3, 
##     7, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 
##     3, 3, 2, 3, 3, 2, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 2, 1, 7, 
##     7, 4, 6, 2, 6, 8, 5, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 
##     4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 
##     5, 5, 4, 5, 5, 5, 4, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 4, 5, 
##     5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 5, 4, 4, 3, 1, 5, 4, 3, 5, 
##     4, 4, 5, 5, 6, 4, 4, 5, 3, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 
##     2, 2, 2, 2, 2, 2, 4, 1, 1, 0, 1, 1, 1, 2, 1, 2, 4, 2, 3, 
##     4, 3, 6, 4, 4, 5, 5, 6, 6, 4, 4, 5, 4, 4, 4, 3, 4, 4, 2, 
##     3, 2, 2, 2, 3, 2, 2, 1, 1, 0, 0, 3, 3, 4, 4, 4, 4, 3, 4, 
##     4, 3, 3, 4, 4, 3, 4, 3, 4, 2, 2, 2, 1, 0, 3, 3, 3, 4, 3, 
##     4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 2, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 
##     4, 4, 6, 4, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 1, 0, 0, 1, 1, 
##     1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 4, 5, 5, 6, 5, 
##     5, 4, 4, 5, 5, 4, 4, 5, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 
##     1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 6, 6, 6, 5, 4, 5, 
##     6, 6, 5, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 2, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 16, 16, 17, 17, 16, 18, 17, 16, 16, 
##     15, 16, 16, 16, 16, 16, 15, 16, 16, 16, 16, 16, 17, 16, 17, 
##     17, 18, 17, 18, 18, 18, 18, 21, 21, 22, 21, 21, 21, 21, 21, 
##     19, 19, 18, 19, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 17, 
##     18, 17, 16, 17, 16, 17, 18, 18, 16, 17, 17, 16, 17, 5, 5, 
##     5, 4, 4, 5, 5, 3, 3, 3, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 
##     3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 0, 1, 1, 1, 1, 
##     3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 4, 5, 4, 3, 4, 3, 4, 5, 3, 
##     4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 2, 
##     3, 3, 3, 3, 3, 29, 30, 30, 30, 30, 29, 29, 30, 30, 29, 29, 
##     30, 30, 30, 30, 30, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 29, 30, 31, 5, 5, 5, 5, 2, 2, 
##     2, 3, 4, 4, 3, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 3, 2, 
##     2, 2, 3, 5, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 
##     2, 1, 3, 3, 3, 2, 1, 6, 5, 5, 4, 4, 3, 3, 2, 1, 2, 1, 2, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 39, 39, 39, 39, 58, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 
##     8, 8, 8, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 9, 9, 9, 9, 
##     9, 9, 9, 8, 8, 9, 9, 10, 9, 10, 9, 8, 7, 7, 7, 7, 8, 8, 9, 
##     9, 10, 10, 9, 9, 4, 4, 1, 2, 3, 3, 2, 2, 2, 1, 2, 3, 2, 1, 
##     2, 1, 1, 2, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 7, 7, 4, 
##     5, 5, 7, 7, 8, 8, 9, 10, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 
##     9, 10, 9, 9, 9, 9, 9, 10, 9, 10, 10, 9, 9, 9, 10, 9, 10, 
##     11, 8, 10, 9, 11, 13, 11, 11, 7, 12, 8, 7, 9, 8, 8, 9, 8, 
##     8, 8, 9, 9, 10, 10, 9, 8, 9, 10, 11, 11, 11, 11, 11, 10, 
##     9, 8, 10, 10, 9, 8, 10, 11, 11, 10, 9, 9, 8, 8, 9, 10, 9, 
##     10, 10, 8, 9, 8, 10, 11, 13, 12, 14, 14, 13, 13, 9, 9, 9, 
##     14, 15, 16, 13, 8, 12, 8, 9, 7, 10, 9, 9, 10, 12, 12, 13, 
##     13, 14, 14, 15, 14, 15, 14, 8, 8, 8, 9, 7, 8, 10, 11, 11, 
##     12, 12, 11, 12, 13, 14, 15, 9, 11, 14, 11, 9, 7, 8, 5, 10, 
##     8, 8, 12, 8, 8, 8, 7, 8, 8, 8, 10, 11, 12, 13, 12, 13, 13, 
##     12, 12, 12, 13, 13, 13, 13, 12, 12, 10, 8, 9, 15, 12, 11, 
##     11, 13, 12, 11, 13, 12, 12, 8, 9, 11, 10, 10, 8, 7, 8, 8, 
##     8, 10, 10, 12, 12, 15, 13, 14, 13, 13, 14, 14, 14, 11, 17, 
##     17, 18, 17, 17, 15, 11, 13, 10, 10, 11, 10, 11, 11, 9, 8, 
##     9, 8, 9, 8, 8, 2, 12, 14, 14, 19, 20, 22, 10, 11, 13, 14, 
##     19, 22, 23, 23, 23, 23, 24, 23, 23, 23, 22, 23, 25, 25, 22, 
##     22, 21, 21, 20, 19, 18, 15, 13, 12, 10, 10, 8, 9, 7, 4, 3, 
##     3, 4, 4, 4, 3, 2, 3, 3, 3, 2, 4, 4, 4, 5, 3, 4, 5, 4, 4, 
##     6, 8, 11, 13, 15, 15, 16, 20, 20, 22, 23, 24, 25, 25, 24, 
##     25, 26, 23, 23, 22, 20, 21, 20, 21, 20, 19, 3, 3, 6, 7, 10, 
##     11, 12, 12, 13, 14, 15, 22, 23, 23, 24, 24, 24, 24, 25, 24, 
##     25, 22, 21, 22, 20, 20, 18, 17, 13, 10, 9, 7, 7, 4, 3, 3, 
##     3, 4, 5, 5, 5, 4, 3, 4, 4, 6, 4, 4, 5, 25, 27, 23, 22, 22, 
##     20, 19, 17, 17, 14, 14, 13, 12, 7, 6, 5, 6, 3, 4, 4, 4, 4, 
##     4, 5, 5, 6, 4, 3, 3, 6, 8, 10, 11, 14, 14, 15, 22, 22, 24, 
##     24, 23, 24, 25, 24, 24, 23, 18, 18, 16, 9, 8, 7, 5, 3, 7, 
##     4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 9, 11, 12, 13, 14, 17, 
##     18, 24, 26, 23, 21, 20, 11, 9, 9, 8, 6, 6, 5, 5, 3, 3, 4, 
##     3, 4, 3, 4, 7, 3, 13, 15, 11, 10, 10, 9, 9, 8, 9, 9, 8, 8, 
##     8, 8, 8, 8, 4, 5, 3, 4, 4, 4, 5, 4, 3, 11, 18, 19, 20, 22, 
##     26, 26, 25, 24, 25, 24, 23, 19, 18, 19, 14, 13, 11, 9, 8, 
##     6, 7, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 8, 7, 6, 6, 9, 9, 
##     8, 10, 10, 10, 9, 10, 12, 13, 16, 16, 17, 17, 16, 13, 13, 
##     8, 3, 1, 1, 3, 3, 1, 3, 3, 2, 2, 4, 2, 2, 4, 6, 7, 8, 7, 
##     7, 9, 10, 13, 18, 20, 17, 15, 14, 13, 13, 13, 13, 11, 10, 
##     9, 6, 4, 3, 2, 2, 1, 1, 20, 19, 19, 20, 23, 23, 19, 17, 16, 
##     14, 16, 14, 13, 13, 11, 3, 3, 2, 2, 0, 1, 2, 2, 2, 1, 2, 
##     2, 7, 12, 12, 10, 8, 7, 6, 4, 3, 2, 2, 2, 3, 2, 3, 2, 3, 
##     4, 4, 4, 3, 2, 2, 4, 8, 7, 8, 10, 16, 16, 17, 20, 22, 21, 
##     19, 20, 16, 14, 13, 13, 12, 12, 12, 11, 7, 6, 13, 14, 11, 
##     6, 5, 4, 2, 1, 1, 1, 2, 2, 3, 5, 13, 13, 13, 11, 9, 9, 3, 
##     2, 1, 2, 3, 2, 4, 4, 5, 5, 6, 7, 7, 7, 7, 4, 3, 4, 5, 1, 
##     5, 5, 7, 7, 6, 8, 10, 11, 4, 3, 2, 5, 4, 6, 6, 10, 17, 18, 
##     17, 15, 15, 16, 10, 11, 2, 1, 3, 5, 4, 7, 6, 17, 16, 15, 
##     15, 13, 14, 13, 15, 12, 13, 10, 10, 10, 8, 6, 6, 7, 7, 7, 
##     6, 7, 6, 7, 7, 7, 7, 8, 7, 7, 8, 7, 7, 7, 8, 8, 8, 8, 7, 
##     8, 8, 7, 8, 8, 7, 8, 9, 8, 8, 8, 8, 7, 8, 9, 7, 9, 7, 8, 
##     8, 7, 5, 6, 31, 33, 33, 33, 34, 33, 33, 33, 33, 32, 32, 32, 
##     31, 32, 33, 33, 31, 29, 30, 32, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 30, 29, 29, 29, 29, 29, 29, 29, 29, 30, 28, 
##     28, 32, 35, 33, 29, 33, 37, 37, 34, 35, 34, 35, 35, 33, 32, 
##     35, 31, 31, 35, 36, 34, 33, 31, 31, 32, 32, 37, 31, 32, 32, 
##     31, 32, 27, 28, 29, 29, 28, 28, 27, 27, 29, 34, 34, 31, 31, 
##     30, 33, 34, 34, 31, 32, 34, 33, 29, 29, 30, 29, 31, 28, 29, 
##     29, 29, 28, 28, 29, 33, 30, 31, 31, 32, 32, 34, 33, 33, 32, 
##     32, 29, 28, 29, 32, 30, 31, 28, 28, 31, 31, 29, 30, 29, 27, 
##     31, 29, 27, 27, 28, 28, 34, 32, 30, 31, 31, 34, 35, 30, 31, 
##     30, 34, 34, 29, 28, 30, 31, 32, 30, 31, 28, 29, 28, 28, 30, 
##     30, 34, 33, 32, 32, 31, 31, 29, 29, 34, 33, 30, 31, 34, 30, 
##     32, 28, 28, 30, 29, 29, 28, 27, 28, 32, 33, 35, 27, 27, 27, 
##     29, 31, 35, 28, 26, 27, 28, 30, 34, 32, 28, 27, 34, 35, 35, 
##     31, 31, 34, 32, 16, 16, 17, 17, 15, 16, 16, 15, 15, 19, 19, 
##     18, 24, 22, 22, 21, 21, 20, 21, 20, 18, 18, 17, 17, 17, 17, 
##     17, 18, 16, 17, 17, 16, 17, 17, 16, 17, 17, 16, 16, 16, 17, 
##     18, 19, 19, 19, 19, 19, 19, 20, 23, 22, 21, 24, 24, 25, 25, 
##     25, 22, 22, 21, 22, 21, 19, 19, 19, 19, 17, 17, 17, 17, 17, 
##     17, 17, 17, 16, 16, 16, 16, 18, 18, 18, 18, 21, 21, 21, 23, 
##     23, 22, 25, 24, 25, 26, 19, 19, 18, 18, 19, 18, 17, 16, 17, 
##     17, 17, 16, 17, 17, 17, 17, 17, 25, 26, 25, 25, 23, 22, 22, 
##     22, 21, 20, 22, 20, 19, 19, 18, 18, 18, 18, 18, 18, 17, 18, 
##     17, 16, 17, 17, 17, 18, 17, 17, 17, 16, 17, 18, 17, 16, 16, 
##     17, 17, 19, 20, 20, 21, 21, 21, 21, 22, 22, 23, 24, 24, 25, 
##     25, 24, 24, 24, 16, 16, 17, 16, 17, 16, 17, 16, 16, 16, 17, 
##     18, 18, 17, 17, 18, 19, 23, 24, 18, 18, 17, 17, 17, 17, 16, 
##     15, 16, 17, 17, 16, 15, 16, 16, 16, 16, 16, 16, 17, 17, 18, 
##     18, 19, 18, 20, 20, 22, 21, 21, 23, 24, 24, 23, 23, 23, 23, 
##     23, 22, 22, 22, 19, 19, 19, 18, 19, 18, 18, 18, 18, 18, 17, 
##     18, 16, 18, 17, 16, 17, 17, 17, 18, 18, 17, 19, 17, 17, 16, 
##     18, 18, 18, 16, 17, 19, 19, 19, 19, 19, 21, 22, 22, 22, 24, 
##     23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 22, 22, 21, 20, 21, 
##     19, 19, 19, 19, 18, 18, 19, 18, 19, 17, 17, 17, 17, 17, 18, 
##     17, 17, 17, 17, 17, 16, 17, 16, 18, 18, 17, 19, 19, 24, 23, 
##     23, 23, 21, 21, 20, 20, 18, 18, 17, 18, 24, 20, 16, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 16, 19, 20, 20, 19, 19, 19, 22, 
##     23, 22, 23, 23, 23, 22, 23, 24, 26, 25, 25, 26, 25, 25, 24, 
##     23, 22, 22, 21, 22, 18, 21, 21, 20, 21, 23, 24, 25, 25, 26, 
##     26, 26, 26, 26, 26, 26, 26, 25, 19, 20, 19, 19, 19, 19, 19, 
##     18, 17, 15, 15, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 20, 
##     20, 20, 20, 21, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 2, 3, 2, 
##     2, 2, 2, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 3, 
##     4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 5, 6, 5, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 8, 9, 13, 13, 14, 
##     20, 20, 21, 19, 18, 16, 14, 14, 11, 11, 11, 11, 8, 8, 7, 
##     6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 6, 6, 6, 8, 9, 8, 12, 12, 13, 
##     13, 13, 14, 15, 16, 17, 18, 19, 19, 20, 20, 9, 10, 9, 11, 
##     8, 8, 9, 9, 9, 9, 9, 9, 8, 7, 8, 9, 8, 8, 8, 9, 16, 17, 18, 
##     18, 18, 17, 18, 16, 14, 14, 11, 11, 11, 10, 10, 9, 9, 9, 
##     9, 7, 7, 8, 8, 9, 8, 9, 10, 10, 11, 11, 12, 12, 11, 11, 12, 
##     15, 15, 15, 16, 16, 16, 16, 16, 15, 14, 14, 14, 14, 14, 13, 
##     11, 11, 11, 10, 10, 9, 6, 6, 6, 10, 8, 8, 8, 8, 8, 8, 9, 
##     9, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 
##     13, 13, 13, 13, 14, 14, 15, 15, 15, 15, 16, 15, 13, 12, 13, 
##     13, 12, 11, 10, 9, 10, 8, 9, 9, 8, 8, 8, 8, 9, 9, 10, 9, 
##     9, 10, 10, 12, 12, 13, 16, 15, 15, 15, 15, 15, 16, 15, 14, 
##     13, 12, 11, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 4, 4, 5, 8, 
##     6, 6, 10, 7, 7, 7, 7, 7, 7, 6, 6, 6, 2, 2, 2, 2, 3, 3, 3, 
##     4, 4, 4, 6, 6, 6, 6, 6, 7, 8, 6, 7, 6, 7, 7, 5, 4, 5, 3, 
##     3, 1, 1, 4, 1, 2, 7, 8, 6, 8, 2, 6, 7, 5, 2, 3, 2, 2, 1, 
##     1, 1, 2, 3, 3, 4, 5, 7, 7, 8, 9, 9, 9, 9, 9, 10, 10, 8, 6, 
##     5, 5, 3, 3, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 3, 4, 18, 17, 
##     15, 21, 21, 21, 22, 21, 21, 21, 21, 21, 21, 20, 20, 20, 20, 
##     18, 17, 17, 17, 17, 16, 17, 17, 16, 17, 18, 17, 16, 17, 17, 
##     17, 17, 17, 17, 17, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 16, 16, 16, 16, 3, 2, 2, 1, 1, 1, 
##     1, 1, 3, 2, 2, 3, 8, 10, 6, 8, 7, 7, 8, 8, 8, 7, 8, 8, 8, 
##     8, 8, 8, 10, 9, 11, 11, 14, 14, 14, 15, 15, 15, 15, 20, 20, 
##     19, 18, 19, 19, 17, 17, 14, 15, 15, 14, 13, 13, 13, 2, 2, 
##     2, 2, 4, 3, 4, 4, 4, 4, 4, 3, 32, 29, 29, 27, 28, 28, 26, 
##     27, 29, 29, 29, 31, 31, 31, 31, 33, 31, 29, 30, 30, 28, 28, 
##     30, 28, 29, 29, 29, 29, 25, 26, 29, 33, 32, 31, 29, 31, 33, 
##     32, 33, 31, 32, 29, 33, 32, 31, 31, 26, 29, 30, 29, 30, 30, 
##     27, 29, 29, 31, 32, 30, 29, 33, 27, 27, 28, 29, 29, 29, 30, 
##     30, 29, 29, 29, 29, 29, 29, 29, 29, 29, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 16, 17, 20, 21, 21, 25, 24, 
##     24, 25, 26, 25, 22, 22, 20, 19, 17, 16, 15, 8, 14, 15, 16, 
##     18, 22, 25, 25, 25, 26, 27, 16, 15, 14, 10, 10, 8, 6, 3, 
##     3, 3, 5, 4, 2, 2, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 5, 5, 
##     4, 4, 21, 20, 19, 17, 16, 14, 14, 14, 12, 10, 9, 8, 5, 3, 
##     3, 10, 11, 13, 15, 14, 14, 12, 10, 11, 10, 12, 15, 13, 14, 
##     14, 15, 15, 16, 17, 12, 9, 11, 8, 9, 10, 10, 9, 10, 10, 10, 
##     10, 4, 3, 5, 5, 3, 3, 4, 3, 4, 3, 3, 3, 3, 5, 5, 3, 3, 4, 
##     4, 4, 4, 5, 5, 4, 5, 6, 6, 7, 6, 6, 5, 5, 9, 5, 4, 2, 4, 
##     5, 5, 6, 8, 10, 13, 15, 10, 11, 12, 15, 16, 18, 17, 19, 18, 
##     13, 13, 9, 2, 2, 1, 4, 5, 6, 6, 7, 9, 10, 13, 16, 17, 9, 
##     9, 11, 13, 14, 15, 16, 17, 17, 15, 15, 15, 12, 3, 2, 1, 1, 
##     1, 3, 3, 1, 2, 4, 1, 2, 2, 3, 5, 6, 7, 8, 7, 7, 8, 9, 8, 
##     14, 15, 17, 19, 17, 17, 17, 18, 18, 18, 16, 14, 11, 12, 5, 
##     5, 2, 1, 3, 1, 1, 5, 10, 9, 11, 13, 19, 9, 10, 10, 9, 9, 
##     11, 10, 12, 16, 17, 16, 17, 17, 18, 13, 16, 18, 20, 19, 18, 
##     12, 7, 9, 11, 8, 9, 8, 8, 8, 7, 7, 8, 10, 12, 14, 16, 14, 
##     14, 15, 16, 14, 15, 15, 16, 16, 18, 14, 13, 15, 16, 14, 15, 
##     14, 15, 13, 12, 9, 10, 12, 11, 11, 10, 10, 10, 9, 10, 10, 
##     10, 9, 10, 10, 9, 10, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 9, 
##     9, 9, 8, 9, 9, 8, 8, 8, 8, 9, 10, 9, 8, 9, 10, 9, 10, 10, 
##     10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 10, 9, 8, 10, 
##     10, 9, 11, 9, 10, 9, 10, 11, 11, 10, 11, 10, 11, 11, 11, 
##     9, 10, 9, 9, 10, 8, 9, 8, 9, 7, 8, 7, 7, 8, 8, 8, 9, 10, 
##     9, 9, 9, 10, 10, 10, 11, 9, 9, 10, 10, 10, 10, 10, 10, 11, 
##     10, 10, 10, 10, 11, 10, 10, 9, 9, 9, 9, 8, 8, 9, 9, 9, 10, 
##     10, 10, 10, 10, 10, 11, 10, 11, 10, 11, 10, 10, 10, 10, 10, 
##     10, 9, 10, 9, 9, 9, 9, 8, 9, 9, 8, 7, 9, 10, 9, 9, 9, 10, 
##     10, 10, 10, 10, 9, 10, 9, 10, 10, 10, 10, 10, 10, 9, 10, 
##     9, 9, 10, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 
##     3, 3, 2, 4, 7, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 3, 4, 
##     5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 3, 1, 2, 2, 1, 
##     1, 3, 4, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 3, 3, 4, 
##     4, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 1, 0, 1, 1, 2, 
##     2, 2, 2, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 1, 2, 1, 1, 1, 2, 
##     2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 
##     2, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 
##     1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 
##     4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 
##     6, 6, 6, 6, 6, 6, 4, 5, 5, 4, 6, 5, 4, 4, 4, 3, 2, 3, 3, 
##     2, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 5, 5, 3, 
##     4, 4, 3, 4, 4, 2, 3, 2, 6, 2, 4, 3, 3, 3, 3, 3, 2, 7, 1, 
##     3, 1, 2, 2, 4, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 4, 
##     4, 4, 4, 3, 4, 4, 2, 5, 4, 3, 5, 3, 2, 3, 3, 1, 2, 2, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 2, 3, 3, 2, 5, 
##     2, 3, 4, 4, 3, 2, 2, 2, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 2, 
##     3, 3, 4, 8, 6, 5, 4, 3, 3, 2, 6, 3, 4, 3, 4, 3, 3, 4, 4, 
##     4, 4, 4, 4, 4, 3, 3, 4, 2, 4, 3, 4, 4, 6, 1, 4, 5, 3, 3, 
##     4, 5, 3, 4, 3, 4, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 
##     4, 5, 4, 4, 4, 3, 3, 2, 3, 5, 3, 4, 3, 2, 4, 3, 4, 5, 2, 
##     2, 2, 2, 3, 3, 4, 3, 3, 3, 2, 1, 3, 1, 2, 2, 3, 3, 4, 3, 
##     2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 30, 33, 34, 
##     33, 31, 31, 29, 33, 29, 30, 29, 30, 28, 28, 29, 29, 29, 29, 
##     28, 27, 27, 28, 31, 30, 29, 29, 29, 28, 28, 28, 29, 28, 29, 
##     29, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 28, 
##     28, 29, 29, 29, 29, 29, 29, 29, 28, 30, 30, 29, 29, 30, 29, 
##     29, 30, 30, 29, 30, 30, 30, 31, 29, 29, 29, 30, 30, 30, 28, 
##     30, 29, 29, 30, 29, 29, 29, 29, 29, 29, 29, 30, 29, 29, 28, 
##     30, 28, 28, 29, 29, 29, 29, 30, 29, 29, 28, 28, 30, 30, 29, 
##     29, 29, 29, 31, 29, 29, 28, 29, 30, 29, 29, 32, 29, 29, 29, 
##     29, 29, 27, 28, 29, 29, 29, 29, 29, 29, 30, 29, 29, 29, 29, 
##     28, 28, 31, 27, 28, 29, 28, 31, 28, 29, 30, 29, 28, 28, 28, 
##     29, 28, 29, 29, 29, 29, 30, 29, 29, 28, 28, 30, 29, 29, 28, 
##     29, 28, 29, 30, 27, 29, 28, 28, 28, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 30, 28, 28, 31, 29, 28, 30, 28, 28, 29, 30, 29, 
##     28, 28, 27, 28, 29, 28, 28, 29, 29, 29, 30, 30, 30, 28, 29, 
##     29, 30, 28, 28, 29, 29, 29, 28, 30, 29, 28, 30, 29, 29, 28, 
##     29, 30, 29, 29, 32, 29, 29, 29, 29, 29, 29, 30, 30, 31, 28, 
##     28, 29, 29, 29, 28, 29, 28, 29, 28, 29, 29, 30, 29, 29, 30, 
##     30, 29, 29, 29, 29, 29, 31, 28, 28, 29, 29, 28, 28, 29, 29, 
##     29, 29, 29, 29, 29, 29, 28, 30, 30, 29, 29, 29, 29, 28, 28, 
##     29, 29, 29, 29, 28, 28, 28, 28, 29, 28, 28, 28, 28, 28, 28, 
##     28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 
##     28, 30, 30, 30, 31, 31, 30, 29, 29, 29, 29, 28, 28, 31, 33, 
##     32, 31, 31, 31, 29, 29, 28, 29, 28, 31, 28, 28, 28, 28, 28, 
##     28, 28, 28, 28, 27, 28, 28, 28, 28, 28, 28, 27, 28, 28, 28, 
##     28, 28, 20, 20, 22, 22, 22, 23, 23, 24, 23, 23, 22, 21, 21, 
##     20, 18, 19, 21, 22, 23, 24, 25, 25, 26, 25, 25, 24, 23, 23, 
##     23, 22, 21, 21, 19, 19, 19, 20, 21, 20, 20, 19, 20, 21, 21, 
##     21, 21, 21, 21, 21, 21, 23, 23, 24, 22, 21, 20, 22, 20, 20, 
##     18, 18, 18, 18, 16, 16, 16, 15, 15, 15, 15, 14, 15, 15, 16, 
##     16, 16, 17, 17, 16, 16, 16, 17, 17, 14, 16, 16, 16, 15, 16, 
##     15, 17, 17, 17, 17, 18, 16, 17, 17, 17, 17, 16, 17, 15, 17, 
##     16, 16, 16, 15, 17, 17, 15, 16, 16, 17, 16, 16, 15, 16, 16, 
##     16, 16, 16, 17, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 
##     18, 18, 18, 18, 18, 17, 18, 18, 17, 17, 17, 17, 18, 17, 16, 
##     17, 17, 17, 17, 17, 17, 16, 17, 17, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 
##     17, 17, 16, 17, 17, 17, 17, 16, 16, 17, 17, 17, 17, 17, 17, 
##     17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 17, 16, 16, 17, 16, 
##     17, 17, 16, 16, 17, 17, 17, 17, 16, 17, 17, 17, 16, 17, 17, 
##     18, 18, 17, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
##     17, 16, 17, 17, 17, 18, 17, 17, 18, 18, 17, 17, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 16, 17, 16, 17, 
##     17, 17, 16, 17, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 17, 
##     17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 
##     17, 17, 18, 17, 17, 16, 16, 17, 16, 16, 17, 17, 16, 17, 17, 
##     17, 17, 17, 18, 18, 18, 18, 17, 18, 17, 17, 17, 17, 17, 17, 
##     16, 20, 18, 17, 17, 16, 16, 17, 17, 16, 16, 16, 16, 17, 17, 
##     17, 17, 17, 17, 16, 17, 16, 17, 17, 16, 17, 17, 16, 17, 17, 
##     17, 16, 17, 17, 17, 17, 16, 18, 17, 18, 18, 17, 16, 16, 16, 
##     16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 20, 20, 20, 18, 21, 
##     21, 21, 20, 20, 19, 21, 17, 17, 16, 16, 16, 17, 17, 18, 18, 
##     20, 21, 18, 18, 18, 17, 16, 16, 17, 17, 17, 17, 17, 16, 5, 
##     4, 5, 5, 8, 8, 9, 9, 8, 8, 8, 7, 8, 8, 7, 7, 7, 8, 7, 7, 
##     8, 8, 9, 8, 7, 7, 7, 8, 8, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 
##     6, 7, 7, 6, 6, 6, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 7, 5, 7, 
##     6, 6, 6, 8, 7, 7, 5, 7, 7, 6, 7, 8, 8, 8, 8, 8, 8, 5, 6, 
##     7, 7, 6, 6, 6, 6, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 6, 
##     6, 6, 6, 6, 7, 7, 7, 7, 6, 7, 7, 6, 6, 7, 6, 7, 6, 6, 7, 
##     7, 7, 6, 7, 6, 6, 6, 6, 7, 7, 6, 7, 7, 6, 6, 7, 7, 6, 6, 
##     6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 
##     6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 6, 6, 6, 
##     6, 7, 7, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 7, 6, 
##     7, 6, 7, 7, 7, 7, 7, 8, 6, 6, 7, 6, 7, 7, 8, 8, 7, 7, 7, 
##     5, 6, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 
##     6, 7, 7, 6, 6, 7, 7, 8, 7, 7, 8, 8, 6, 9, 9, 8, 8, 7, 7, 
##     6, 8, 7, 7, 6, 5, 6, 6, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 7, 
##     8, 26, 27, 28, 29, 28, 28, 27, 28, 28, 28, 28, 28, 28, 32, 
##     30, 27, 30, 27, 29, 28, 27, 29, 31, 30, 31, 30, 30, 28, 29, 
##     30, 28, 29, 30, 30, 30, 29, 30, 30, 29, 29, 29, 30, 1, 2, 
##     2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 5, 5, 5, 4, 4, 4, 4, 
##     3, 3, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 10, 9, 10, 9, 9, 8, 8, 8, 9, 7, 8, 10, 
##     10, 7, 8, 9, 8, 8, 9, 9, 10, 10, 9, 10, 10, 11, 10, 10, 9, 
##     10, 9, 9, 10, 11, 8, 10, 8, 11, 11, 10, 10, 9, 9, 10, 9, 
##     9, 9, 9, 10, 10, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9, 10, 9, 8, 
##     9, 8, 8, 9, 9, 4, 4, 2, 3, 2, 2, 5, 2, 2, 2, 1, 1, 2, 2, 
##     3, 3, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 
##     5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 5, 
##     3, 5, 4, 4, 4, 4, 5, 5, 3, 2, 6, 7, 6, 5, 3, 2, 5, 5, 6, 
##     5, 4, 2, 2, 3, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 2, 2, 
##     2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 10, 10, 9, 10, 9, 9, 9, 11, 10, 9, 
##     10, 9, 11, 11, 11, 11, 11, 10, 10, 10, 10, 11, 10, 10, 10, 
##     9, 9, 9, 10, 9, 9, 8, 9, 9, 10, 9, 9, 10, 10, 11, 11, 11, 
##     11, 10, 11, 11, 11, 10, 11, 9, 10, 10, 10, 9, 9, 9, 9, 8, 
##     9, 9, 10, 10, 10, 9, 10, 11, 11, 10, 11, 10, 11, 11, 10, 
##     10, 9, 9, 10, 10, 10, 10, 9, 9, 9, 9, 9, 5, 8, 9, 9, 10, 
##     7, 9, 9, 10, 10, 10, 9, 9, 9, 9, 9, 10, 9, 9, 9, 8, 8, 7, 
##     6, 8, 9, 9, 8, 10, 11, 8, 9, 10, 10, 10, 10, 9, 10, 10, 10, 
##     9, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 
##     9, 9, 8, 8, 7, 6, 6, 5, 9, 9, 9, 10, 9, 9, 11, 11, 9, 10, 
##     11, 11, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 12, 10, 
##     8, 10, 10, 11, 10, 10, 9, 11, 10, 10, 10, 9, 8, 8, 8, 7, 
##     6, 6, 9, 9, 10, 10, 11, 11, 11, 10, 11, 12, 11, 9, 10, 10, 
##     10, 10, 10, 10, 10, 10, 11, 10, 7, 7, 7, 6, 6, 7, 8, 8, 9, 
##     10, 9, 9, 10, 10, 10, 10, 10, 10, 5, 4, 4, 5, 5, 5, 5, 4, 
##     5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 3, 3, 3, 3, 3, 4, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 1, 
##     1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 3, 4, 4, 
##     4, 4, 5, 5, 3, 2, 4, 4, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 1, 2, 1, 1, 1, 2, 1, 2, 3, 4, 5, 4, 3, 4, 4, 4, 4, 5, 
##     4, 4, 4, 1, 1, 2, 2, 2, 3, 3, 2, 3, 2, 4, 5, 5, 6, 6, 5, 
##     5, 6, 6, 6, 6, 5, 5, 5, 4, 5, 3, 4, 4, 3, 3, 4, 3, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 2, 
##     1, 1, 1, 1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 12, 6, 6, 6, 6, 6, 2, 0, 5, 7, 8, 
##     10, 12, 14, 15, 13, 14, 15, 14, 14, 14, 12, 11, 5, 5, 4, 
##     2, 1, 1, 3, 6, 10, 11, 10, 4, 4, 6, 6, 6, 2, 4, 6, 7, 8, 
##     9, 10, 11, 14, 14, 14, 16, 17, 16, 16, 16, 13, 12, 9, 9, 
##     4, 3, 2, 2, 3, 5, 4, 7, 5, 5, 3, 2, 1, 2, 7, 8, 9, 10, 11, 
##     12, 12, 12, 13, 13, 10, 7, 5, 5, 5, 3, 3, 2, 2, 2, 1, 4, 
##     9, 5, 6, 5, 4, 2, 1, 2, 4, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 4, 3, 4, 3, 2, 1, 2, 1, 1, 2, 3, 4, 3, 1, 1, 
##     1, 3, 3, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 
##     2, 1, 2, 2, 3, 4, 3, 3, 4, 4, 4, 3, 2, 2, 2, 2, 4, 2, 1, 
##     1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 
##     2, 3, 4, 3, 2, 2, 4, 2, 3, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 
##     2, 1, 2, 2, 2, 1, 1, 1, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 
##     3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 
##     2, 2, 2, 4, 3, 3, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 
##     1, 2, 3, 3, 3, 3, 4, 3, 4, 3, 2, 3, 3, 3, 3, 3, 6, 3, 5, 
##     5, 6, 4, 5, 5, 5, 5, 6, 5, 5, 5, 6, 8, 6, 3, 5, 28, 28, 28, 
##     28, 28, 28, 28, 29, 28, 30, 29, 29, 29, 30, 29, 27, 29, 31, 
##     30, 29, 30, 30, 30, 30, 29, 29, 30, 30, 30, 30, 31, 30, 30, 
##     30, 31, 30, 29, 31, 31, 30, 30, 30, 30, 31, 30, 30, 30, 30, 
##     30, 30, 30, 31, 31, 32, 31, 32, 30, 30, 30, 31, 31, 30, 30, 
##     30, 30, 28, 30, 31, 28, 27, 29, 29, 29, 31, 32, 30, 30, 29, 
##     29, 29, 30, 27, 29, 29, 29, 29, 29, 30, 30, 29, 31, 30, 31, 
##     29, 29, 31, 29, 29, 29, 27, 29, 29, 28, 29, 29, 28, 29, 31, 
##     31, 31, 31, 30, 31, 31, 31, 29, 30, 28, 29, 29, 30, 30, 30, 
##     31, 32, 32, 32, 31, 31, 30, 30, 30, 30, 28, 28, 29, 28, 29, 
##     29, 30, 30, 30, 32, 31, 31, 30, 29, 29, 30, 29, 29, 30, 30, 
##     30, 29, 30, 29, 29, 29, 29, 29, 29, 28, 29, 28, 29, 29, 30, 
##     30, 29, 29, 31, 31, 30, 30, 31, 29, 30, 29, 29, 29, 28, 28, 
##     28, 29, 29, 28, 28, 28, 30, 30, 30, 29, 30, 30, 31, 30, 29, 
##     29, 30, 30, 28, 27, 28, 28, 28, 29, 28, 28, 29, 28, 28, 29, 
##     28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 28, 29, 
##     30, 29, 29, 30, 30, 29, 29, 29, 29, 30, 29, 29, 29, 29, 29, 
##     29, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 16, 16, 16, 
##     15, 15, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 
##     18, 18, 17, 18, 18, 18, 17, 17, 17, 17, 16, 17, 16, 16, 17, 
##     16, 17, 17, 17, 18, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 
##     18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 21, 20, 20, 
##     19, 19, 17, 18, 18, 18, 18, 18, 18, 18, 19, 20, 20, 20, 20, 
##     20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 18, 17, 17, 17, 17, 
##     17, 19, 19, 20, 20, 19, 20, 20, 19, 20, 19, 19, 19, 18, 19, 
##     18, 17, 17, 16, 17, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 
##     19, 18, 18, 18, 19, 20, 19, 20, 20, 20, 19, 19, 17, 18, 17, 
##     17, 17, 17, 17, 17, 17, 18, 16, 18, 17, 17, 18, 18, 18, 18, 
##     19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 18, 
##     18, 19, 19, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 17, 
##     17, 17, 17, 17, 19, 18, 18, 19, 19, 19, 18, 17, 17, 18, 18, 
##     17, 17, 17, 17, 16, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 
##     17, 18, 17, 18, 18, 17, 17, 18, 18, 17, 17, 18, 18, 18, 19, 
##     19, 18, 18, 19, 20, 20, 18, 18, 18, 18, 18, 18, 18, 19, 18, 
##     18, 18, 17, 17, 17, 17, 17, 16, 17, 17, 18, 17, 16, 17, 16, 
##     16, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 7, 
##     7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 6, 3, 2, 2, 1, 1, 2, 2, 3, 
##     2, 3, 4, 3, 5, 4, 7, 6, 2, 2, 0, 2, 3, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 5, 5, 4, 4, 4, 4, 
##     4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 
##     2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 
##     2, 2, 2, 4, 4, 4, 4, 3, 5, 5, 5, 3, 3, 2, 2, 2, 2, 2, 0, 
##     1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 2, 4, 4, 4, 4, 
##     4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 
##     2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 2, 2, 1, 1, 3, 1, 1, 2, 
##     2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 
##     29, 29, 29, 30, 30, 29, 29, 30, 29, 29, 28, 30, 30, 29, 28, 
##     28, 28, 28, 28, 28, 29, 28, 29, 28, 30, 29, 28, 30, 30, 30, 
##     30, 31, 32, 32, 30, 31, 31, 31, 32, 31, 30, 30, 30, 29, 30, 
##     29, 30, 29, 29, 29, 30, 30, 14, 14, 15, 16, 16, 16, 12, 11, 
##     10, 4, 3, 2, 4, 6, 7, 7, 3, 2, 1, 1, 2, 2, 4, 7, 8, 10, 12, 
##     13, 6, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 
##     12, 4, 4, 4, 4, 4, 10, 10, 10, 9, 9, 9, 9, 9, 6, 6, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 10, 
##     11, 10, 9, 9, 7, 7, 7, 8, 10, 6, 6, 6, 9, 10, 10, 11, 9, 
##     9, 9, 10, 10, 10, 9, 9, 9, 9, 8, 6, 6, 11, 10, 10, 10, 10, 
##     10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 4, 3, 4, 5, 4, 7, 
##     5, 3, 2, 4, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 4, 4, 4, 4, 4, 
##     4, 4, 3, 6, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 10, 10, 29, 18, 19, 18, 
##     17, 17, 17, 18, 20, 21, 21, 22, 22, 24, 26, 26, 26, 26, 26, 
##     27, 28, 29, 30, 29, 21, 21, 20, 18, 19, 17, 17, 16, 16, 17, 
##     18, 18, 17, 18, 17, 17, 18, 18, 16, 16, 13, 14, 13, 13, 17, 
##     18, 19, 18, 23, 26, 26, 26, 28, 27, 27, 27, 25, 24, 19, 17, 
##     18, 16, 16, 16, 17, 17, 17, 18, 17, 17, 17, 16, 16, 16, 15, 
##     15, 16, 15, 16, 16, 16, 15, 16, 14, 14, 14, 17, 19, 20, 23, 
##     23, 23, 19, 17, 17, 17, 16, 17, 2, 2, 2, 2, 2, 2, 4, 8, 10, 
##     11, 14, 13, 17, 19, 23, 24, 28, 30, 27, 25, 23, 21, 17, 17, 
##     14, 10, 7, 5, 6, 7, 4, 2, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 
##     6, 8, 9, 10, 13, 14, 16, 22, 24, 22, 21, 24, 28, 19, 19, 
##     16, 15, 14, 5, 5, 7, 5, 2, 2, 5, 8, 6, 5, 5, 5, 5, 5, 3, 
##     7, 14, 15, 16, 16, 18, 21, 23, 23, 24, 29, 29, 28, 20, 19, 
##     17, 18, 15, 14, 13, 10, 12, 13, 27, 20, 18, 15, 13, 6, 8, 
##     5, 3, 3, 5, 8, 11, 14, 15, 17, 19, 22, 21, 19, 20, 19, 19, 
##     23, 25, 20, 17, 15, 12, 7, 1, 3, 3, 5, 8, 8, 7, 7, 6, 6, 
##     6, 5, 5, 5, 4, 3, 12, 9, 6, 3, 2, 1, 1, 2, 2, 1, 1, 4, 3, 
##     3, 3, 1, 3, 6, 8, 9, 10, 11, 15, 16, 14, 13, 10, 4, 4, 2, 
##     2, 3, 2, 3, 3, 4, 6, 7, 9, 10, 12, 14, 14, 16, 17, 17, 14, 
##     13, 13, 10, 10, 9, 7, 6, 6, 7, 7, 3, 3, 3, 2, 3, 3, 4, 4, 
##     2, 2, 6, 7, 7, 8, 10, 12, 12, 15, 17, 15, 21, 21, 21, 17, 
##     16, 16, 14, 14, 12, 12, 13, 10, 9, 10, 5, 4, 3, 3, 3, 3, 
##     3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 3, 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 
##     6, 9, 9, 10, 10, 9, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 10, 11, 
##     10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 11, 10, 9, 7, 7, 
##     8, 8, 8, 12, 12, 11, 12, 9, 9, 10, 12, 11, 11, 10, 10, 11, 
##     10, 10, 10, 11, 11, 11, 10, 11, 10, 9, 7, 6, 6, 8, 9, 10, 
##     9, 10, 11, 10, 9, 10, 10, 10, 11, 11, 11, 9, 9, 10, 10, 10, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 3, 
##     3, 3, 4, 5, 5, 5, 5, 5, 6, 9, 8, 9, 9, 10, 10, 10, 8, 8, 
##     8, 7, 4, 9, 3, 2, 2, 2, 3, 0, 1, 1, 3, 2, 5, 4, 3, 4, 3, 
##     3, 2, 2, 2, 2, 2, 1, 1, 1, 3, 5, 5, 6, 6, 6, 8, 8, 9, 9, 
##     9, 9, 10, 8, 8, 9, 5, 6, 7, 2, 2, 2, 1, 4, 2, 3, 4, 4, 6, 
##     4, 3, 4, 4, 3, 2, 1, 1, 1, 2, 2, 4, 6, 8, 12, 12, 13, 13, 
##     13, 14, 12, 9, 5, 5, 4, 4, 2, 2, 3, 3, 1, 2, 3, 2, 4, 4, 
##     4, 4, 3, 3, 2, 7, 7, 8, 9, 9, 10, 9, 12, 12, 12, 13, 12, 
##     8, 9, 8, 3, 2, 1, 1, 1, 3, 2, 2, 4, 5, 6, 4, 4, 3, 3, 2, 
##     2, 1, 2, 7, 7, 7, 7, 11, 12, 15, 14, 16, 15, 15, 14, 13, 
##     13, 10, 8, 4, 3, 4, 2, 3, 2, 2, 4, 3, 3, 3, 3, 3, 5, 3, 3, 
##     2, 3, 1, 3, 3, 2, 3, 4, 4, 5, 5, 5, 6, 7, 6, 10, 11, 12, 
##     11, 11, 12, 2, 0, 1, 2, 2, 1, 2, 4, 4, 4, 4, 4, 3, 3, 2, 
##     2, 1, 1, 1, 1, 3, 7, 7, 9, 8, 8, 10, 12, 11, 12, 12, 12, 
##     11, 12, 9, 9, 9, 9, 8, 8, 2, 2, 3, 2, 1, 1, 1, 3, 4, 4, 6, 
##     4, 4, 4, 4, 3, 3, 3, 1, 4, 3, 3, 3, 3, 5, 6, 7, 7, 13, 14, 
##     9, 9, 8, 8, 6, 5, 7, 6, 4, 3, 3, 2, 1, 2, 2, 1, 4, 3, 3, 
##     3, 6, 6, 5, 3, 2, 2, 1, 1, 0, 1, 3, 4, 4, 4, 4, 5, 10, 10, 
##     8, 7, 9, 10, 10, 9, 9, 8, 8, 8, 7, 8, 7, 8, 9, 9, 9, 10, 
##     10, 10, 10, 9, 8, 10, 12, 10, 8, 7, 5, 7, 7, 7, 7, 8, 8, 
##     7, 7, 7, 7, 5, 5, 5, 4, 4, 3, 2, 2, 4, 5, 5, 6, 8, 10, 10, 
##     8, 11, 16, 17, 15, 14, 13, 13, 11, 12, 9, 9, 9, 7, 6, 6, 
##     10, 10, 10, 12, 14, 14, 15, 15, 17, 16, 13, 12, 10, 8, 7, 
##     7, 6, 7, 12, 9, 8, 6, 7, 12, 15, 15, 15, 15, 18, 19, 17, 
##     17, 17, 16, 15, 15, 14, 13, 11, 12, 12, 11, 10, 10, 8, 8, 
##     8, 9, 10, 12, 16, 16, 16, 16, 16, 19, 19, 18, 17, 15, 13, 
##     12, 13, 10, 12, 12, 9, 8, 8, 7, 8, 12, 14, 14, 15, 15, 15, 
##     15, 14, 15, 16, 17, 17, 16, 16, 15, 13, 11, 10, 9, 8, 8, 
##     8, 9, 9, 10, 12, 13, 14, 15, 15, 16, 16, 17, 18, 17, 17, 
##     17, 17, 16, 16, 16, 16, 14, 13, 13, 13, 11, 9, 10, 9, 10, 
##     11, 10, 11, 12, 13, 15, 16, 17, 14, 14, 15, 15, 15, 15, 15, 
##     16, 17, 18, 19, 18, 17, 17, 16, 16, 13, 14, 13, 14, 13, 13, 
##     12, 11, 10, 9, 10, 11, 11, 12, 12, 13, 15, 15, 16, 16, 17, 
##     17, 17, 19, 19, 17, 16, 18, 18, 18, 14, 15, 13, 13, 12, 13, 
##     11, 10, 10, 10, 9, 9, 9, 9, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 
##     6, 5, 5, 4, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 29, 29, 30, 30, 
##     30, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 30, 30, 
##     29, 29, 29, 30, 29, 29, 30, 30, 30, 30, 29, 30, 29, 29, 30, 
##     30, 30, 29, 29, 29, 30, 30, 29, 30, 30, 29, 30, 31, 30, 29, 
##     30, 30, 30, 30, 30, 30, 30, 29, 29, 30, 30, 29, 28, 28, 28, 
##     31, 29, 30, 30, 31, 29, 28, 27, 32, 32, 33, 34, 34, 35, 28, 
##     27, 28, 29, 34, 33, 28, 31, 30, 29, 28, 28, 29, 31, 36, 31, 
##     34, 34, 30, 29, 31, 29, 33, 32, 32, 28, 30, 29, 30, 30, 28, 
##     28, 33, 33, 31, 28, 30, 35, 32, 31, 31, 29, 29, 28, 29, 30, 
##     29, 40, 42, 29, 29, 30, 30, 28, 31, 29, 29, 29, 28, 30, 33, 
##     29, 32, 33, 26, 28, 26, 26, 28, 30, 30, 31, 27, 29, 28, 27, 
##     28, 29, 31, 33, 33, 32, 29, 30, 32, 32, 30, 31, 32, 32, 32, 
##     30, 29, 28, 28, 25, 29, 30, 31, 29, 28, 29, 28, 28, 28, 27, 
##     28, 29, 29, 30, 29, 30, 31, 30, 30, 31, 32, 29, 29, 30, 27, 
##     31, 32, 30, 30, 29, 30, 31, 30, 31, 30, 27, 36, 28, 30, 27, 
##     29, 29, 29, 31, 31, 31, 32, 32, 31, 28, 27, 29, 17, 17, 17, 
##     17, 17, 17, 18, 17, 17, 17, 18, 18, 18, 18, 19, 19, 20, 19, 
##     19, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 17, 
##     18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 
##     17, 16, 17, 19, 18, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 17, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 20, 20, 20, 
##     19, 19, 19, 19, 19, 18, 19, 18, 18, 17, 17, 18, 18, 18, 17, 
##     17, 17, 18, 17, 17, 18, 18, 17, 18, 18, 19, 19, 19, 20, 21, 
##     21, 22, 22, 21, 22, 23, 22, 22, 22, 23, 22, 21, 21, 21, 21, 
##     20, 20, 20, 20, 20, 20, 21, 21, 20, 20, 16, 16, 17, 18, 18, 
##     19, 21, 20, 21, 20, 20, 21, 22, 23, 23, 22, 23, 23, 21, 21, 
##     19, 18, 18, 19, 19, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
##     18, 16, 16, 16, 17, 17, 19, 20, 21, 22, 23, 23, 26, 26, 28, 
##     17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 17, 16, 16, 16, 17, 
##     18, 18, 18, 16, 17, 17, 16, 18, 18, 19, 20, 21, 24, 25, 25, 
##     29, 28, 29, 29, 29, 29, 31, 31, 31, 30, 30, 23, 21, 22, 18, 
##     18, 17, 18, 18, 17, 18, 17, 16, 17, 19, 15, 17, 17, 16, 17, 
##     17, 14, 15, 27, 26, 26, 26, 24, 18, 18, 18, 15, 17, 18, 18, 
##     19, 20, 20, 22, 22, 25, 25, 32, 31, 31, 31, 32, 31, 31, 30, 
##     27, 24, 21, 20, 20, 19, 19, 18, 20, 20, 20, 19, 19, 19, 18, 
##     18, 18, 17, 16, 16, 16, 21, 26, 20, 23, 14, 15, 13, 12, 13, 
##     13, 12, 11, 11, 12, 13, 13, 15, 11, 8, 10, 10, 10, 10, 12, 
##     10, 11, 12, 13, 14, 13, 14, 15, 15, 15, 17, 12, 17, 16, 7, 
##     10, 14, 15, 12, 13, 12, 11, 11, 9, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 11, 12, 13, 13, 15, 13, 13, 14, 12, 14, 17, 16, 
##     19, 19, 14, 15, 13, 15, 12, 18, 19, 19, 16, 19, 20, 22, 17, 
##     16, 10, 8, 11, 13, 14, 13, 14, 15, 9, 5, 8, 10, 15, 18, 21, 
##     21, 23, 17, 15, 11, 12, 12, 11, 10, 12, 14, 11, 10, 10, 9, 
##     9, 9, 10, 9, 11, 13, 14, 12, 9, 10, 15, 17, 15, 12, 9, 10, 
##     10, 11, 13, 16, 15, 16, 14, 15, 18, 14, 11, 15, 10, 8, 8, 
##     11, 10, 11, 29, 29, 31, 28, 28, 28, 28, 29, 28, 31, 29, 28, 
##     30, 30, 29, 29, 29, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 15, 15, 14, 11, 14, 8, 8, 9, 8, 8, 9, 8, 7, 4, 6, 
##     5, 3, 33, 32, 31, 31, 26, 28, 29, 30, 29, 28, 28, 28, 30, 
##     30, 32, 32, 29, 34, 32, 32, 30, 32, 31, 29, 27, 26, 25, 28, 
##     30, 28, 29, 32, 33, 29, 27, 28, 28, 28, 27, 30, 29, 27, 29, 
##     30, 28, 28, 29, 29, 27, 28, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 5, 5, 18, 18, 16, 16, 12, 13, 12, 12, 10, 11, 11, 12, 
##     10, 11, 12, 12, 12, 11, 12, 15, 15, 15, 15, 14, 16, 18, 18, 
##     17, 14, 11, 14, 11, 11, 12, 14, 16, 16, 13, 15, 10, 12, 13, 
##     12, 10, 9, 9, 11, 11, 10, 10, 9, 9, 9, 8, 9, 8, 9, 12, 12, 
##     11, 12, 14, 10, 10, 11, 13, 10, 10, 10, 11, 12, 15, 15, 15, 
##     16, 15, 12, 15, 16, 15, 16, 6, 10, 18, 22, 17, 15, 12, 15, 
##     11, 10, 10, 9, 9, 8, 10, 12, 9, 10, 17, 19, 22, 22, 4, 3, 
##     3, 4, 2, 2, 4, 5, 9, 13, 13, 13, 13, 19, 16, 15, 14, 13, 
##     12, 9, 10, 5, 4, 4, 2, 2, 2, 1, 7, 8, 9, 12, 14, 16, 18, 
##     20, 23, 23, 21, 20, 19, 15, 10, 7, 4, 5, 3, 3, 1, 4, 2, 2, 
##     3, 3, 3, 2, 1, 5, 7, 8, 11, 14, 14, 13, 25, 28, 27, 27, 26, 
##     26, 22, 20, 20, 20, 20, 19, 19, 19, 19, 18, 19, 19), gyros_dumbbell_x = c(0, 
##     0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
##     0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, -0.02, -0.02, 0, -0.02, -0.02, 0, -0.02, -0.02, 
##     -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, 0.8, 0, -0.02, -0.18, 
##     -0.21, -0.16, -0.13, 0.37, 0.61, 0.71, 0.72, 0.74, 0.77, 
##     0.77, 0.9, 0.72, 0.69, 0.35, 0.48, 0.45, 0.43, 0.43, 0.45, 
##     0.43, 0.43, 0.45, 0.48, 0.48, 0.5, 0.5, 0.45, 0.48, 0.48, 
##     0.47, 0.47, 0.47, 0.47, 0.45, 0.47, 0.48, 0.45, 0.51, 0.47, 
##     0.48, 0.48, 0.47, 0.4, 0.43, 0.45, 0.51, 0.53, 0.51, 0.51, 
##     0.51, 0.5, 0.51, 0.48, 0.48, 0.43, 0.48, 0.51, 0.53, 0.51, 
##     0.51, 0.5, 0.47, 0.47, 0.45, 0.45, 0.43, 0.43, 0.43, 0.45, 
##     0.47, 0.45, 0.45, 0.47, 0.47, 0.47, 0.48, 0.48, 0.48, 0.48, 
##     0.48, 0.48, 0.55, 0.56, 0.56, 0.53, 0.48, 0.37, 0.31, 0.37, 
##     0.29, 0.31, 0.31, 0.29, 0.26, 0.22, 0.19, 0.02, -0.05, -0.06, 
##     0.06, 0.56, 0.93, 0.8, 0.72, 0.69, 0.66, 0.58, 0.58, 0.58, 
##     0.39, 0.5, 0.58, 0.59, 0.63, 0.55, 0.48, 0.45, 0.37, 0.37, 
##     0.43, 0.5, 0.55, 0.61, 0.59, 0.66, 0.66, 0.66, 0.63, 0.61, 
##     0.61, 0.56, 0.34, 0.34, 0.45, 0.5, 0.16, 0.08, 0.24, 0.26, 
##     0.48, 0.64, 0.59, 0.77, 0.58, 0.53, 0.51, 0.48, 0.45, 0.29, 
##     -0.03, -0.11, -0.02, 0.14, 0.31, 0.8, 0.96, 0.77, 0.67, 0.63, 
##     0.53, 0.55, 0.42, 0.53, 0.59, 0.43, 0.53, 0.31, 0.39, 0.55, 
##     0.56, 0.56, 0.58, 0.59, 0.39, 0.4, 0.37, 0.45, 0.4, 0.61, 
##     0.59, 0.64, 0.55, 0.51, 0.39, 0.4, 0.27, 0.14, -0.1, -0.21, 
##     -0.05, 0.48, 0.59, 0.83, 0.83, 0.88, 0.93, 0.9, 0.79, 0.75, 
##     0.64, 0.67, 0.61, 0.45, 0.48, 0.5, 0.51, 0.5, 0.48, 0.42, 
##     0.34, 0.31, 0.31, -0.29, -0.35, -0.39, -0.35, 0.16, 0.61, 
##     0.96, 0.98, 0.92, 0.85, 0.72, 0.79, 0.72, 0.58, 0.35, 0.45, 
##     0.4, 0.4, 0.45, 0.45, 0.47, 0.47, 0.51, 0.53, 0.47, 0.42, 
##     0.42, 0.51, 0.5, 0.51, 0.55, 0.58, 0.56, 0.51, 0.5, 0.51, 
##     0.48, 0.43, 0.39, 0.32, 0.21, 0.03, -0.16, -0.35, -0.4, -0.4, 
##     -0.19, 1.01, 0.87, 0.64, 0.58, 0.32, 0.34, 0.35, 0.48, 0.47, 
##     0.13, 0.05, -0.1, -0.26, -0.16, 0.79, 0.85, 0.93, 0.75, 0.61, 
##     0.66, 0.58, 0.51, 0.55, 0.47, 0.51, 0.42, 0.5, 0.55, 0.47, 
##     0.53, 0.5, 0.42, 0.32, 0.32, -0.32, 0.72, 0.34, 0.42, 0.4, 
##     0.45, 0.53, -0.43, -0.05, 0.18, 0.98, 1.14, 0.82, 0.66, 0.67, 
##     0.69, 0.5, 0.61, 0.59, 0.55, 0.55, 0.42, 0.4, 0.4, 0.35, 
##     0.53, 0.14, 0.14, 0.14, 0.16, 0.19, 0.21, 0.18, 0.18, 0.18, 
##     0.16, 0.16, 0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.16, 0.18, 
##     0.18, 0.19, 0.19, 0.21, 0.19, 0.19, 0.21, 0.18, 0.18, 0.16, 
##     0.1, 0.18, 0.11, 0.18, 0.18, 0.16, 0.18, 0.21, 0.19, 0.16, 
##     0.13, 0.1, 0.11, 0.11, 0.13, 0.14, 0.18, 0.16, 0.11, 0.11, 
##     0.11, 0.11, 0.13, 0.11, 0.06, 0.03, 0.06, 0.11, 0.1, 0.13, 
##     0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.11, 0.14, 0.11, 0.13, 
##     0.11, 0.14, 0.02, -0.02, 0.08, 0.13, 0.11, 0.11, 0.13, 0.14, 
##     0.19, 0.18, 0.13, 0.14, 0.11, 0.14, 0.16, 0.16, 0.16, 0.14, 
##     0.16, 0.16, 0.16, 0.16, 0.16, 0.14, 0.14, 0.16, 0.14, 0.16, 
##     0.16, 0.16, 0.16, 0.14, 0.16, 0.14, 0.13, 0.13, 0.13, 0.14, 
##     0.13, 0.13, 0.11, 0.11, 0.13, 0.14, 0.16, 0.16, 0.14, 0.18, 
##     0.14, 0.13, 0.16, 0.18, 0.14, 0.16, 0.16, 0.16, 0.13, 0.14, 
##     0.14, 0.11, 0.08, 0.05, 0.14, -0.13, -0.21, -0.31, -0.34, 
##     -0.39, -0.29, -0.27, -0.26, -0.24, -0.06, -0.05, -0.19, -0.11, 
##     0.18, 0.11, 0.13, 0.16, 0.14, 0.14, 0.14, 0.13, 0.13, 0.16, 
##     0.19, 0.18, 0.19, 0.19, 0.21, 0.19, 0.19, 0.19, 0.19, 0.19, 
##     0.21, 0.22, 0.21, 0.21, 0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.21, 0.19, 0.18, 0.22, 0.21, 0.16, 0.18, 0.21, 0.21, 
##     0.19, 0.18, 0.13, 0.14, 0.14, 0.14, 0.14, 0.16, 0.14, 0.14, 
##     0.16, 0.21, 0.11, 0.02, -0.21, -0.22, -0.14, -0.06, 0.03, 
##     0.11, 0.29, 0.27, 0.03, 0.1, 0.14, 0.16, 0.13, 0.14, 0.16, 
##     0.16, 0.18, 0.18, 0.19, 0.19, 0.19, 0.19, 0.22, 0.21, 0.19, 
##     0.19, 0.16, 0.18, 0.16, 0.1, 0.1, 0.08, 0.1, 0.19, 0.22, 
##     0.14, 0.18, 0.16, 0.14, 0.14, 0.11, 0.22, 0.22, 0.18, 0.13, 
##     0.16, 0.14, 0.14, 0.11, 0.11, 0.13, 0.14, 0.16, 0.14, 0.13, 
##     0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.02, 0.03, 0.13, 
##     0.11, 0.14, 0, 0.1, 0.02, 0, 0, -0.11, -0.06, -0.02, 0.16, 
##     0.21, 0.16, 0.08, 0.05, 0.16, 0.13, 0.16, 0.14, 0.26, 0.24, 
##     0.22, 0.26, 0.27, 0.26, 0.21, 0.16, 0.1, 0.14, 0.22, 0.47, 
##     0.56, 0.59, 0.5, 0.5, 0.29, 0.31, 0.27, 0.22, -0.02, 0.02, 
##     -0.03, -0.11, -0.06, -0.06, -0.03, 0, -0.03, -0.05, 0.02, 
##     0.08, 0.05, 0.03, 0.08, 0.13, 0.11, 0.05, 0.11, 0.08, 0.1, 
##     0.16, 0.18, 0.32, 0.34, 0.32, 0.29, 0.24, 0.21, 0.22, 0.22, 
##     0.27, 0.27, 0.26, 0.26, 0.29, 0.29, 0.32, 0.47, 0.37, 0.35, 
##     0.29, 0.26, 0.22, 0.24, 0.24, -0.03, 0.16, 0.13, -0.1, -0.08, 
##     -0.13, -0.06, 0.18, 0.13, 0.11, 0.13, 0.19, 0.08, 0.14, 0.1, 
##     0.11, 0.24, 0.21, 0.31, 0.31, 0.29, 0.26, 0.35, 0.45, 0.56, 
##     0.47, 0.08, 0.05, 0.1, 0.05, 0, -0.18, -0.18, -0.08, -0.13, 
##     -0.06, 0.02, 0.02, 0.02, 0.02, 0.02, -0.06, -0.05, -0.06, 
##     -0.1, -0.16, 0.08, 0.16, 0.14, 0.14, 0.14, 0.21, 0.16, 0.26, 
##     0.37, 0.35, 0.29, 0.21, 0.24, 0.24, 0.22, 0.22, 0.24, 0.24, 
##     0.22, 0.32, 0.47, 0.45, 0.35, 0.37, 0.32, 0.29, 0.29, 0.27, 
##     0.24, 0.21, 0.18, -0.05, -0.06, -0.06, -0.05, -0.05, 0, 0.06, 
##     0.13, 0.18, 0.08, 0.11, 0.02, 0.16, 0.08, 0.1, 0.18, 0.18, 
##     0.11, 0.1, 0.1, 0.11, 0.13, 0.08, 0.26, 0.26, 0.24, 0.16, 
##     0.1, 0.14, 0.42, 0.45, 0.45, 0.47, 0.43, 0.43, 0.37, 0.27, 
##     0.19, 0.14, -0.03, 0.11, 0.1, 0.14, 0.1, 0.14, 0.14, 0.34, 
##     0.29, 0.18, 0.21, 0.18, 0.18, 0.16, 0.4, 0.43, 0.43, 0.35, 
##     0.35, 0.35, 0.32, 0.29, 0.24, 0.22, 0.24, 0.21, 0.18, 0.14, 
##     0.13, 0.1, 0.11, 0.08, 0, -0.06, -0.1, -0.06, -0.03, 0, 0.06, 
##     -0.02, 0.05, 0.02, 0.05, 0.02, 0.05, 0.06, 0.06, 0.05, 0, 
##     0, 0.03, 0.1, 0.13, 0.11, 0.08, 0.06, 0.1, 0.18, 0.24, 0.26, 
##     0.26, 0.16, 0.08, 0.03, -0.02, -0.02, -0.05, -0.08, -0.08, 
##     -0.1, -0.08, -0.13, -0.16, -0.11, -0.02, 0.02, 0.02, 0.05, 
##     0.13, 0.06, 0.13, 0.16, 0.14, 0.13, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.13, 0.19, 0.19, 0.16, 0.1, 0.02, 0.34, 
##     0.16, 0.14, 0.34, 0.4, 0.34, 0.42, -0.1, 0.1, 0.13, 0.08, 
##     0.05, 0.13, 0.03, 0.05, 0.18, 0.1, 0.05, 0.31, 0.34, 0.29, 
##     0.11, 0.06, 0.11, 0.19, 0.18, 0.14, 0.13, 0.14, 0.18, 0.34, 
##     0.02, 0.02, -0.05, -0.03, -0.06, -0.02, -0.06, -0.08, -0.13, 
##     -0.1, -0.05, 0.45, 0.47, 0.19, 0.14, 0.14, 0.19, 0.08, 0.08, 
##     0.18, 0.34, 0.66, 0.48, 0.48, 0.35, 0.24, 0.37, 0.27, 0.42, 
##     0.31, 0.1, 0.19, 0.18, 0, -0.13, 0.24, 0.24, 0.16, 0.14, 
##     0.1, 0.08, 0.06, 0.03, 0.1, 0.27, 0.29, 0.18, 0.1, 0.08, 
##     0.05, 0.05, 0.03, 0.02, 0.05, 0.05, 0.1, 0.1, 0.13, 0.11, 
##     0.06, 0.08, 0.21, 0.34, 0.21, 0.21, 0.27, 0.19, 0.08, 0.08, 
##     0.08, 0.06, 0.13, 0.16, 0.47, 0.37, 0.19, -0.16, -0.21, -0.21, 
##     -0.19, -0.1, -0.1, 0.34, 0.35, 0.4, 0.34, 0.03, 0.16, 0.13, 
##     0.08, 0.47, 0.37, 0.35, 0.26, 0.26, 0.19, 0.14, 0.1, 0.1, 
##     0.11, 0.13, 0.13, 0.14, 0.37, 0.37, 0.21, 0.21, 0.19, 0.16, 
##     0.11, -0.13, -0.06, 0.16, 0.21, 0.24, 0.31, 0.21, 0.03, 0.21, 
##     0.43, 0.45, 0.29, 0.32, 0.42, 0.37, 0.03, 0.26, 0.03, 0.05, 
##     0.1, 0.22, 0.26, 0.24, 0.31, 0.18, 0.1, 0.14, 0.21, 0.14, 
##     0.1, 0.08, 0.1, 0.32, 0.1, 0.05, 0.16, 0.21, 0.13, -0.02, 
##     0.14, 0.11, 0.08, 0.11, 0.1, 0.08, 0.11, 0.14, 0.11, 0.11, 
##     0.22, 0.26, 0.43, 0.26, 0.31, 0.21, 0.11, 0.11, -0.02, 0.05, 
##     0.03, -0.08, 0.16, 0.1, 0.19, 0.08, 0.03, -0.02, -0.02, 0.26, 
##     0.39, 0.53, 0.58, 0.48, 0.45, 0.5, 0.53, 0.35, 0.31, 0.05, 
##     0.03, 0.02, 0.05, 0.24, 0.08, 0.08, 0.14, 0.1, -0.24, -0.45, 
##     -0.37, -0.29, 0.13, 0.43, 0.34, 0.24, 0.4, 0.39, 0.31, 0.31, 
##     0.08, 0.51, 0.5, 0.5, 0.37, 0.02, -0.14, -0.13, -0.11, -0.03, 
##     0.05, 0.26, 0.31, 0.31, 0.29, 0.29, 0.29, 0.34, 0.27, 0.18, 
##     0.16, 0.13, 0.14, 0.16, 0.18, 0.19, 0.19, 0.16, 0.16, 0.16, 
##     0.16, 0.19, 0.21, 0.19, 0.18, 0.16, 0.16, 0.16, 0.16, 0.19, 
##     0.27, 0.18, 0.11, 0.13, 0.13, 0.22, 0.24, 0.34, 0.18, 0.13, 
##     0.26, 0.26, 0.22, -0.29, -0.56, -0.71, -0.87, -1.36, -1.41, 
##     -0.9, -0.79, -0.4, -0.37, -0.02, 0.24, 0.42, 0.75, 1.54, 
##     1.32, 1.35, 1.03, 1, 1.06, 0.4, 0.16, 0.39, 0.42, 0.32, 0.31, 
##     0.35, 0.31, 0.21, 0.19, 0.21, -0.22, -0.39, -0.77, -1.16, 
##     -1.48, -1.48, 0.34, 0.35, 0.34, 0.37, 0.37, 0.34, 0.35, 0.34, 
##     0.34, 0.34, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.34, 0.35, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.37, 
##     0.35, 0.37, 0.35, 0.35, 0.35, 0.34, 0.34, 0.34, 0.34, 0.35, 
##     0.34, 0.35, 0.35, 0.35, 0.35, 0.37, 0.37, 0.39, 0.39, 0.37, 
##     0.37, 0.37, 0.37, 0.37, 0.32, 0.32, 0.32, 0.32, 0.32, 0.34, 
##     0.34, 0.34, 0.35, 0.35, 0.34, 0.34, 0.35, 0.35, 0.34, 0.35, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.34, 0.34, 0.35, 0.34, 0.34, 0.35, 0.35, 0.34, 0.34, 0.35, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.37, 0.35, 0.35, 0.37, 0.35, 0.34, 0.37, 0.37, 0.34, 0.35, 
##     0.34, 0.34, 0.34, 0.35, 0.35, 0.31, 0.31, 0.32, 0.34, 0.35, 
##     0.35, 0.35, 0.34, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.35, 0.35, 0.35, 0.34, 0.34, 0.19, 0.21, 0.26, 0.55, 0.34, 
##     0.29, 0.32, 0.32, 0.31, 0.14, 0.4, 0.51, 0.55, 0.43, 0.39, 
##     0.32, 0.13, 0.22, 0.35, 0.37, 0.34, 0.35, 0.35, 0.34, 0.39, 
##     0.37, 0.37, 0.35, 0.34, 0.37, 0.37, 0.35, 0.35, 0.35, 0.35, 
##     0.37, 0.39, 0.37, 0.35, 0.35, 0.32, 0.34, 0.32, 0.31, 0.27, 
##     0.29, 0.32, 0.31, 0.32, 0.32, 0.32, 0.32, 0.35, 0.35, 0.35, 
##     0.35, 0.37, 0.35, 0.35, 0.35, 0.35, 0.35, 0.34, 0.35, 0.34, 
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##     0.95, 0.59, -0.32, -0.59, 0.26, 0.13, 0.71, 0.9, 0.63, 0.37, 
##     0.64, 0.55, 0.51, 0.4, 0.45, 0.67, 0.83, 1.22, 1.01, 1.03, 
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##     0.27, 0.18, 0.29, -0.02, 0.27, 0.4, 0.42, 0.4, 0.05, 0.03, 
##     0.05, 0.05, 0.05, 0, -0.08, -0.03, 0.18, 0.61, 0.82, 1.17, 
##     1.16, 1.12, 0.92, 0.82, 1, 0.9, 0.8, 0.75, 0.61, 0.4, 0.37, 
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##     0.03, 0.02, 0.02, 0, 0.14, 0.55, 0.77, 1.28, 1.25, 1.03, 
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##     0.03, 0.03, 0.11, 0.13, 0.13, 0.16, 0.14, 0.16, 0.18, 0.19, 
##     0.35, 0.16, 0.1, 0.08, -0.05, -0.02, -0.02, 0.02, 0.02, 0.13, 
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##     -0.35, -0.32, -0.32, -0.35, -0.39, 0, 0.75, 0.43, 0.39, 0.56, 
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##     -0.06, -0.03, 0.35, 0.32, 0.27, 0.24, 0.31, 0.37, 0.37, 0.42, 
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##     -0.48, -0.37, -0.29, -0.29, -0.21, -0.11, -0.03, 0.02, 0.11, 
##     0.31, 0.39, 0.45, 0.48, 0.53, 1, 0.88, 0.83, 0.8, 0.69, 0.43, 
##     0.42, 0.48, 0.43, 0.43, 0.32, 0.26, 0.18, 0.45, 0.4, 0.32, 
##     0.22, 0.06, -0.05, -0.1, -0.71, -0.98, 0.27, 0.34, 0.39, 
##     0.4, 0.58, 0.85, 0.72, 0.64, -1.06, -1.01, -0.96, -0.85, 
##     -0.85, -0.83, -0.8, -0.56, -0.31, 0.06, 0.08, -0.03, -0.1, 
##     -0.11, -0.03, 0.06, 0.14, 0.31, 0.35, 0.98, 1.33, 1.08, 0.93, 
##     0.9, 0.66, 0.55, 0.39, -0.08, -0.11, -0.06, -0.03, -0.06, 
##     0.02, 0.08, 0.16, 0.21, 0.26, 0.26, 0.34, 0.32, 0.29, 0.69, 
##     0.66, 0.48, 0.66, 0.66, 0.77, 0.24, 0.26, -0.02, -0.21, -0.08, 
##     0.64, 1.04, 1.16, 1.19, 0.61, 0.03, 0.03, 0.03, 0.42, 0.47, 
##     0.53, 0.95, 0.88, 0.9, 1.12, 1.08, 1.01, 0.9, 0.75, 0.55, 
##     0.53, 0.45, 0.29, -0.87, -1.28, -1.36, 1.11, 1.08, 0.96, 
##     0.74, 0.31, 0.37, 0.26, 0.18, 0.19, 0.1, 0.18, 0.24, 0.24, 
##     0.18, 0.56, 0.63, 0.74, 1, 1.01, 1.03, 1.19, 0.96, 0.63, 
##     0.18, 0, -0.55, -0.63, -0.5, 0.55, 1.06, 1.24, 1.08, 0.82, 
##     0.53, 0.59, 0.08, 0.21, -0.02, 0.75, 0.98, 1.17, 0.9, 0.71, 
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##     0.55, -0.18, -1.16, 0.19, 0.9, 1.06, 0.98, 1.08, 0.83, 0.56, 
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##     0, -0.22, -0.11, 0.06, 0.35, 0.5, 0.75, 1.16, 1.17, 1.04, 
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##     0.08, 0.21, 0.67, 1.14, 0.93, 0.82, 0.26, 0.39, 0.56, 0.39, 
##     0.05, 0.21, 0.22, 0.21, 0.1, -0.05, -0.16, -0.22, 0.69, 0.64, 
##     1.03, 0.85, 0.74, 0.64, 0.37, 0.26, 0.11, 0.1, 0.22, 0, 0, 
##     0.05, 0.16, 0.14, 0.21, 0.32, 0.4, 0.39, 0.4, 0.35, 0.35, 
##     0.34, 0.34, 0.35, 0.35, 0.35, 0.34, 0.14, 0.1, 0.11, 0.18, 
##     0.19, 0.13, -0.06, -0.16, -0.19, -0.18, -0.11, -0.02, 0.05, 
##     0.14, 0.11, -0.06, -0.16, 0.48, 0.87, 0.95, 0.96, 0.34, 0.06, 
##     -0.03, -0.08, -0.11, -0.14, -0.19, -0.26, -0.18, -0.03, 0.5, 
##     0.67, 0.42, 0.59, 0.43, 0.37, 0.31, 0.35, 0.34, 0.4, 0.47, 
##     0.48, 0.42, 0.64, 0.79, 0.98, 0.96, 0.45, 0.45, 0.72, 0.79, 
##     0.85, 0.79, 0.67, 0.63, 0.61, 0.58, 0.53, 0.8, 0.74, 0.08, 
##     -0.21, -0.11, -0.02, -0.05, -0.1, 0.32, 0.29, 0.27, 0.29, 
##     0.34, 0.32, 0.35, 0.37, 0.39, 0.39, 0.37, 0.37, 0.39, 0.37, 
##     -0.39, -0.35, -0.35, -0.34, -0.31, -0.31, -0.31, -0.31, -0.31, 
##     -0.31, -0.31, -0.31, -0.32, -0.32, -0.35, -0.13, -0.06, -0.13, 
##     0.02, 0.02, -0.05, -0.03, 0.05, -0.27, -0.47, -0.48, -0.5, 
##     -0.55, -0.58, -0.63, -0.66, -1, -1.04, -1.17, -1.2, -1.16, 
##     -1.11, -0.87, -0.71, -0.64, -0.16, 0.05, 0.11, 0.61, 0.56, 
##     0.45, 0.06, 0.22, 1.11, 0.87, 0.53, 0.29, 0.37, 0.32, 0.43, 
##     0.24, 0.19, 0.05, 0.1, 0.13, 0.18, 0.06, -0.26, 0.06, 0.1, 
##     0.13, 0.42, 0.51, 0.61, 0.8, 0.93, 1.12, 1.04, 0.95, 0.66, 
##     0.67, -0.1, -0.13, -0.16, -0.11, 0.58, 0.96, 1.03, 1.14, 
##     1.2, 0.75, 0.75, 0.59, 0.59, 0.42, -0.75, 0.24, 0.51, 0.39, 
##     0.18, 0.42, 0.71, 1.08, 0.42, 0.13, 0.45, 0.31, 0.43, 0.16, 
##     0.02, 0.14, 0.32, 0.43, 0.48, 0.58, 1.06, 1.17, 1.19, 0.96, 
##     0.98, 0.32, 0.48, 0.08, -0.06, -0.22, -0.14, -0.18, -0.21, 
##     -0.34, -0.29, -0.05, 0, 0, -0.06, -0.05, 0.18, 0.19, 0.18, 
##     0.11, 0.05, 0.1, 0.18, 0.22, 0.35, 0.45, 0.34, 0.34, 0.26, 
##     0.22, -0.56, -0.75, -0.66, -0.35, -0.24, -0.27, -0.29, -0.27, 
##     -0.16, 0, 0.03, 0.24, 0.26, 0.13, 0.34, 0.48, 0.59, 0.37, 
##     0.27, 0.32, 0.35, 0.42, 0.22, 0.19, 0.16, -0.32, -0.34, -0.35, 
##     -0.34, -0.27, -0.37, -0.45, -0.5, -0.72, -0.93, -0.95, -0.93, 
##     -0.5, 0.43, 0.58, 0.66, 0.71, 0.8, 1.32, 0.51, 0.48, 0.56, 
##     0.66, 0.55, 0.43, 0.34, 0.32, 0.24, 0.13, 0.02), gyros_dumbbell_y = c(-0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, 
##     -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 
##     -0.02, -0.02, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 4.37, 0.43, 0.48, 0.51, 0.51, 0.5, 0.45, -0.16, -0.08, 
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##     -0.21, -0.32, -0.35, 0, 0, -0.03, 0.06, 0.14, 0.18, 0.9, 
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##     -0.14, -0.13, -0.19, -0.18, -0.11, 0, 0.27, 0.35, 0.74, 0.9, 
##     1.4, 1.35, 1.35, 1.33, 1, 0.74, 0.66, 0.59, 0.5, 0.39, 0.47, 
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##     0.08, 0.05, 0.02, 0.02, 0, 0.06, 0.18, 0.21, 0.34, 0.74, 
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##     0.96, 0.9, 0.74, 0.67, 0.53, 0.59, 0.58, 0.48, 0.42, 0.42, 
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##     -0.95, -1.03, -0.87, 0.9, 0.64, 0.59, 0.48, 0.51, 0.53, 0.66, 
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##     0.14, 0.18, 0.16, 0.16, 0.14, 0.11, 0.13, 0.1, 0.06, 0.1, 
##     -0.03, -0.03, 0.08, 0.1, 0.13, 0.11, 0.08, 0.19, 0.21, 0.13, 
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##     -0.03, -0.03, -0.11, 0.32, 0.61, 0.72, 0.61, 0.59, 0.55, 
##     0.51, 0.47, 0.58, 0.67, 0.88, 1.24, 1.33, 1.36, 1.38, 1.38, 
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##     -0.53, -0.4, -0.29, -0.18, 0.05, 0.02, 0.11, 0, 0.27, 0.06, 
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##     0.85, 0.85, 0.95, 0.96, 0.96, 0.98, 0.92, 0.85, 0.77, 0.74, 
##     0.77, 0.82, 0.87, 0.9, 0.92, -0.32, -0.22, -0.1, 0.14, 0.02, 
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##     -0.21, -0.22, -0.02, 0.02, 0.26, -0.21, -0.05, 0.13, 0.24, 
##     0.24, 0.19, 0.19, 0.21, 0.39, 0.64, 0.98, 1.08, 1.11, 0.88, 
##     0.74, 0.43, 0.48, 0.51, 0.48, 0.53, 0.51, 0.34, 0.26, -0.16, 
##     -0.21, -0.45, -0.45, -0.43, -0.42, -0.43, -0.34, -0.27, -0.21, 
##     -0.22, -0.24, -0.22, -0.13, 0, -0.06, -0.13, 0.02, 0.14, 
##     0.06, 0.03, 0.05, 0.1, 0.08, 0.14, 0.14, 0.14, 0.22, 0.48, 
##     0.48, 0.53, 0.48, 0.35, 0.32, 0.27, 0.21, 0.18, 0.26, 0.4, 
##     0.67, 0.71, 0.74, 0.72, 0.72, 0.72, 0.75, 0.77, 0.63, 0.59, 
##     0.53, 0.08, -0.14, -0.31, -0.39, -0.4, -0.4, -0.26, -0.18, 
##     -0.18, -0.19, -0.21, -0.21, -0.11, -0.05, 0, 0.26, 0.26, 
##     0.26, 0.31, 0.47, 0.48, 0.63, 0.66, 0.69, 0.75, 0.87, 0.66, 
##     0.59, 0.5, 0.66, 0.75, 0.82, 0.45, 0.03, -0.03, -0.14, -0.34, 
##     -0.39, -0.47, -0.93, -0.66, -0.69, -0.58, -0.48, -0.48, -0.48, 
##     -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, 
##     -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, 
##     -0.02, 0.11, 0.05, 0.03, -0.29, 0.26, 0.32, 0.34, 0.37, 0.39, 
##     0.42, 0.4, 0.4, 0.43, 0.55, 0.59, 0.64, 0.72, 0.96, 0.96, 
##     1.08, 0.72, 0.61, 0.53, 0.4, 0.39, 0.35, 0.4, 0.43, 0.48, 
##     0.48, 0.51, 0.69, 0.85, 0.98, 0.39, 0.13, -0.05, -0.08, -0.29, 
##     -0.53, -0.48, 0, 0.03, 0.02, 0.16, 0.13, 0.32, 0.4, 0.21, 
##     -0.02, -0.06, -0.02, 0.22, 0.26, 0.22, 0.48, 0.64, 0.88, 
##     1.12, 1.14, 1.14, 1.12, 1.04, 0.9, 0.87, 0.8, 0.71, 0.63, 
##     0.53, 0.55, 0.5, 0.53, 0.72, 0.61, 0.31, 0.22, 0.06, 0.05, 
##     -0.18, -0.34, -0.43, -0.45, -0.39, -0.32, -0.29, -0.21, -0.11, 
##     -0.05, -0.03, -0.02, -0.08, -0.11, -0.08, 0, 0, 0, -0.02, 
##     -0.08, -0.03, 0, 0.18, 0.16, 0.14, 0.14, 0.11, -0.05, -0.02, 
##     0, 0, -0.03, 0, -0.03, -0.06, -0.08, -0.13, -0.1, -0.11, 
##     -0.05, -0.02, 0.13, 0.14, 0.14, -0.02, -0.03, 0, -0.02, -0.06, 
##     -0.03, 0.02, 0.03, 0.06, 0.1, 0.08, 0.08, 0.08, 0.08, 0.1, 
##     0.05, 0.05, 0.03, 0.05, 0.05, 0.06, 0.06, 0.05, 0.05, 0.06, 
##     0.06, 0.06, 0.08, 0.08, 0.05, 0.03, 0, 0, 0.02, 0.02, 0.02, 
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##     0.18, 0.32, 0.79, 1.19, 1.57, 1.72, 1.94, 2.06, 1.78, 1.62, 
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##     -0.51, -0.53, -0.39, -0.42, 0.06, 0.16, 0.26, 0.43, 0.58, 
##     0.64, 0.67, 0.8, 1.14, 1.27, 1.61, 1.94, 1.88, 1.85, 1.7, 
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##     -1.69, -1.28, -1.28, -1.25, -1.2, -1.3, -1.3, -1.11, -1.01, 
##     -0.34, -0.18, 0.45, 0.58, 0.67, 0.87, 1.3, 1.72, 2.42, 2.46, 
##     2.39, 2.3, 2.23, 2.1, 2.06, 0.37, 0, -0.75, -1.01, -1.16, 
##     -1.88, -1.86, -1.96, -1.86, -1.83, -1.81, -1.62, -1.4, 2.6, 
##     2.49, -0.9, -1.88, -1.89, -1.81, -1.89, -1.48, -1.08, 1.03, 
##     1.56, 1.72, 1.73, 1.81, 1.91, 1.89, 1.89, 1.88, 1.85, 1.75, 
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##     -0.75, -0.67, -0.51, -0.16, 0.34, 0.42, 0.92, 1, 1.03, 1.16, 
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##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -2.1, 0.05, 0.05, 0.05, 0.05, 0.06, 0.03, 0.03, 
##     -0.02, 0.02, 0.02, 0.08, 0.05, 0.19, 0.16, 0.32, 0.45, 0.64, 
##     0.71, 0.83, 0.93, 0.98, 1.03, 1.19, 1.12, 1.08, 1.08, 1.08, 
##     1.11, 1.06, 1.11, 1.09, 0.96, 0.8, 0.77, 0.79, 0.75, 0.4, 
##     0.13, 0.02, -0.03, -0.05, -0.06, -0.08, -0.11, -0.13, -0.16, 
##     -0.16, -0.08, -0.05, 0.02, 0.02, 0.05, 0.06, 0.26, 0.21, 
##     0.21, 0.34, 0.32, 0.37, 0.35, 0.5, 0.69, 0.75, 0.75, 0.85, 
##     1.11, 1.01, 1.01, 1.01, 1.03, 0.92, 0.92, 0.75, 0.77, 0.79, 
##     0.74, 0.69, 0.27, 0.18, 0.14, 0.11, 0.08, 0.05, -0.05, -0.03, 
##     -0.08, -0.22, -0.32, -0.14, -0.1, -0.16, -0.1, 0.21, 0.39, 
##     0.43, 0.55, 0.58, 0.85, 1.06, 1.19, 0.93, 0.93, 1.14, 1.22, 
##     1.24, 1.19, 1, 0.75, 0.79, 0.85, 0.87, 0.74, 0.71, 0.51, 
##     0.34, 0.21, 0.06, -0.19, 0.1, -0.05, -0.1, -0.11, -0.06, 
##     -0.16, -0.08, -0.06, 0.11, 0.18, 0.24, 1.01, 1.27, 1.33, 
##     1.38, 1.09, 1.06, 0.92, 0.85, 0.85, 0.92, 0.9, 0.9, 0.61, 
##     0.45, 0.47, 0.45, 0.35, 0.21, 0.16, -0.08, -0.13, -0.14, 
##     -0.14, -0.18, -0.11, -0.05, -0.05, -0.19, -0.29, -0.18, -0.03, 
##     0.05, 0.47, 0.53, 0.75, 0.82, 1.24, 1.19, 1.19, 1.22, 1.12, 
##     1.06, 1.01, 1.08, 1.11, 0.98, 0.8, 0.82, 0.75, 0.69, 0.59, 
##     0.51, 0.22, 0.1, 0.08, 0.06, 0, -0.06, -0.08, -0.06, 0.03, 
##     0, 0.02, 0.03, 0, -0.03, -0.03, -0.31, -0.31, -0.35, -0.4, 
##     -0.37, -0.27, -0.13, -0.06, -0.06, 1.33, 1.06, 0.98, 0.93, 
##     0.88, 0.85, 0.83, 0.67, 0.61, 0.35, 0.31, 0.18, 0.03, -0.03, 
##     0, -0.03, -0.03, 0, 0.05, 0.06, -0.08, -0.13, -0.13, -0.08, 
##     -0.14, -0.1, -0.13, 0.13, 0.37, 0.56, 0.59, 0.66, 0.69, 0.95, 
##     1.01, 1.04, 1.06, 1.09, 1.14, 1.08, 1.12, 1.17, 1.09, 1.09, 
##     1.09, 1.14, 1.04, 1.06, 0.83, 0.85, 0.75, 0.58, 0.45, 0.29, 
##     0.14, -0.02, -0.08, -0.13, 0.1, 0.05, 0.02, -0.05, -0.06, 
##     0.06, -0.06, 0.06, 0.02, 0.08, 0.37, 0.42, 0.67, 0.69, 0.82, 
##     0.93, 0.98, 1, 0.9, 0.95, 1.25, 1.33, 1.36, 1.27, 0.8, 0.72, 
##     0.64, 0.74, 0.83, 0.79, 0.77, 0.75, 0.39, 0.26, 0.19, 0.02, 
##     -0.02, -0.06, -0.19, -0.21, -0.21, -0.21, -0.1, -0.11, -0.11, 
##     -0.13, -0.13, -0.1, -0.11, 0, 0.08, 0.22, 0.31, 0.5, 0.64, 
##     0.64, 0.66, 0.67, 0.63, 0.61, 0.61, 0.42, 0.4, 0.39, 0.34, 
##     0.31, 0.26, 0.32, 0.55, 0.75, 0.87, 0.72, 0.48, 0.64, 0.77, 
##     0.71, 0.66, 0.55, 0.37, 0.43, 0.43, 0.48, 0.5, 0.56, 0.58, 
##     0.51, 0.5, 0.48, 0.47, 0.16, 0.14, 0.13, 0.14, 0.14, 0.06, 
##     0.19, 0.27, 0.34, 0.43, 0.47, 0.45, 0.63, 1.17, 1.3, 1.41, 
##     1.43, 0.06, -0.05, -0.5, -0.45, -0.35, -0.31, -0.14, -0.16, 
##     -0.22, -0.24, -0.26, -0.22, 0, 0.13, 0.74, 0.75, 0.79, 0.9, 
##     1.06, 0.82, 0.72, 0.66, -0.71, -0.69, -0.26, -0.29, -0.32, 
##     -0.31, 0, 0.08, 0.26, 0.31, -0.26, -0.02, -0.1, -0.08, 0.02, 
##     0.79, 0.95, 0.96, 1, 0.98, 0.26, -0.02, -0.4, -0.45, -0.53, 
##     -0.48, -0.19, -0.24, -0.26, -0.32, -0.27, -0.29, -0.35, -0.35, 
##     -0.27, -0.16, -0.18, -0.14, 0, 0.67, 0.72, 0.83, 1.08, 1.03, 
##     0.64, 0.51, 0.43, 0.21, 0.08, -0.58, -0.48, -0.27, -0.37, 
##     -0.35, -0.26, 0.02, 0.03, 0.03, 0, 0, -0.05, -0.02, 0.13, 
##     0.63, 0.67, 0.79, 0.87, 1.06, 1.08, 1.03, 0.87, 0.77, 0.42, 
##     0.18, -0.58, -0.61, -0.56, -0.16, -0.26, -0.18, -0.13, -0.06, 
##     -0.02, 0.03, 0.14, 0.21, 0.22, 0.34, 0.77, 0.77, 0.88, 1.01, 
##     0.71, 0.58, 0.31, 0.27, -0.31, -0.48, -0.55, -0.69, -0.67, 
##     -0.59, -0.45, -0.34, -0.11, -0.21, -0.24, -0.29, -0.21, -0.26, 
##     -0.22, -0.14, -0.05, 0.13, 0.37, 0.43, 0.67, 0.72, 0.71, 
##     0.77, 0.22, 0.21, 0.77, 0.92, 0.98, 1.06, 1.09, 1.12, 0.88, 
##     0.48, 0.26, 0.21, 0.19, -0.14, -0.32, -0.35, -0.34, -0.27, 
##     -0.24, -0.22, -0.24, -0.24, -0.26, -0.22, -0.02, -0.03, -0.06, 
##     0.08, 0.13, 0.34, 0.51, 0.53, 0.64, 0.77, 0.98, 1.01, 1.11, 
##     1.12, 1.12, 0.79, 0.64, 0.18, 0.16, -0.42, -0.5, -0.39, -0.11, 
##     -0.03, -0.31, -0.22, -0.05, -0.11, -0.13, -0.11, -0.08, -0.02, 
##     -0.02, -0.02, 0, 0, 0.05, 0.05, 0.03, 0.03, 0.13, 0.13, 0.13, 
##     0.24, 0.24, 0.24, 0.24, 0.24, 0.24, 0.31, 0.29, 0.13, 0.21, 
##     0.21, 0.16, 0.16, 0.1, 0.13, 0.14, 0.14, 0.13, 0.13, 0.14, 
##     0.16, 0.14, 0.16, 0.14, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 
##     0.1, 0.13, 0.1, 0.11, 0.11, 0.03, -0.02, 0.02, 0.16, 0.37, 
##     0.43, 0.43, 0.45, 0.39, -0.19, -0.19, -0.19, -0.16, -0.14, 
##     -0.03, 0.22, 0.19, 0.14, 0.06, 0.11, 0.14, 0.19, 0.13, 0.11, 
##     0.11, 0.11, 0.16, 0.16, 0.13, 0.14, 0.18, 0.19, 0.19, 0.21, 
##     0.18, 0.18, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.18, 
##     0.18, 0.11, 0.11, 0.1, 0.11, 0.13, 0.13, 0.14, 0.21, 0.22, 
##     0.22, 0.1, 0, 0, 0.08, 0.03, 0.08, 0.02, 0, 0.03, 0.11, 0.19, 
##     0.19, 0.18, 0.18, 0.18, 0.11, 0.08, 0.05, -0.03, 0, -0.05, 
##     -0.02, 0.29, 0.42, 0.69, 1.06, 1.38, 2.22, 2.07, 1.88, 1.19, 
##     0.92, 0.67, 0.5, 0.35, -0.83, -1.22, -1.25, -1.16, -1.45, 
##     -1.28, -0.45, -0.34, -0.58, -0.48, -0.03, 0.53, 0.63, 0.98, 
##     1.77, 1.86, 2.06, 0.95, 0.29, -0.75, -0.88, -0.88, -0.53, 
##     -0.35, -0.63, -0.53, -0.74, -0.75, -0.5, 0.02, 0.47, 0.58, 
##     0.98, 1.14, 1.67, 1.69, 1.14, 0.64, 0.39, 0.29, 0.02, -0.67, 
##     -0.95, -1.16, -1.3, -1.24, -1.09, -0.92, -0.53, -0.58, 0.22, 
##     -0.27, -0.26, -0.19, -0.32, -0.35, -0.24, 0.03, 0.32, 0.88, 
##     1.14, 1.19, 1.25, 1.61, 1.27, 0.72, -0.14, -0.42, -0.58, 
##     -0.42, -0.5, -0.02, -0.1, -0.42, -0.47, -0.47, 0.43, 0.43, 
##     0.64, 0.96, 0.98, 1.08, 1.08, 0.53, 0.29, -0.18, 1.06, 0.82, 
##     0.37, 0.42, 0.27, 0, -0.29, -0.35, -0.42, -0.42, -0.51, -0.5, 
##     -0.45, -0.4, -0.21, -0.51, -0.61, -0.29, -0.02, 0.43, 0.5, 
##     0.56, 0.83, 1.38, 1.38, 1.3, 0.85, 0.69, 0.88, 1.08, 1.11, 
##     1.06, 0.08, -0.1, -0.71, -0.79, -0.87, -0.74, -0.37, 0.22, 
##     -0.66, -0.77, -0.75, -0.9, -0.71, -0.64, -0.42, -0.18, -0.08, 
##     -0.47, -0.53, -0.51, -0.34, 0.26, 0.64, 0.69, 0.77, 1.83, 
##     1.45, -0.24, -0.43, -0.67, -0.87, -0.93, -0.9, -0.75, 0.05, 
##     0.03, 0.02, 0.02, 0.03, 0.03, 0.05, 0.19, 0.39, 0.43, 0.31, 
##     0.26, 0.22, 0.26, 0.34, 0.32, 0.26, 0.18, 0.14, 0.18, 0, 
##     -0.05, -0.1, -0.13, -0.19, -0.16, -0.21, -0.19, -0.16, -0.14, 
##     -0.08, -0.1, -0.11, -0.11, -0.08, -0.08, -0.1, -0.1, -0.05, 
##     0.06, 0.03, 0.02, 0.05, 0.06, 0.05, 0.06, 0.03, -0.02, 0.18, 
##     0.21, 0.16, 0.51, 0.53, 0.58, 0.53, 0.42, 0.24, 0.21, 0.1, 
##     0.03, -0.06, -0.11, -0.16, -0.19, -0.24, -0.32, -0.32, -0.32, 
##     -0.27, -0.26, -0.21, -0.24, -0.13, 0, 0.06, 0.1, -0.03, -0.05, 
##     -0.03, 0.05, 0.06, 0.34, 0.5, 0.48, 0.51, 0.56, 0.45, 0.42, 
##     0.22, 0.1, -0.45, -0.51, -0.51, -0.03, -0.05, -0.05, -0.03, 
##     -0.05, -0.16, -0.13, -0.03, -0.02, 0, 0.02, 0.02, 0.02, -0.02, 
##     0.03, 0.05, 0.06, 0.06, 0.08, 0.06, 0.05, 0.1, 0.18, 0.21, 
##     0.27, 0.32, 0.35, 0.64, 0.69, 0.5, 0.51, 0.47, 0.42, 0.45, 
##     0.4, 0.34, 0.24, 0.02, -0.16, -0.16, -0.05, -0.06, -0.06, 
##     -0.18, -0.24, -0.27, -0.29, -0.39, -0.42, -0.37, -0.34, -0.35, 
##     -0.27, -0.08, -0.02, 0.06, 0.1, 0.16, 0.27, 0.32, 0.29, 0.29, 
##     0.32, 0.31, 0.18, 0.14, 0.06, 0.1, 0.11, 0.11, 0.11, 0.02, 
##     0, -0.14, -0.13, -0.05, -0.11, -0.19, -0.13, -0.13, -0.06, 
##     -0.06, -0.08, -0.05, -0.05, -0.05, -0.03, 0.02, 0.02, 0.18, 
##     0.37, 0.64, 0.82, 1.11, 1.73, 1.81, 1.73, 1.67, 1.61, 1.57, 
##     1.57, 0.82, 0.74, 0.69, 0.72, -0.48, -0.45, -0.43, -0.42, 
##     -0.37, -0.11, -0.03, -0.13, -0.4, -0.69, -0.71, -0.61, -0.53, 
##     -0.42, -0.13, -0.03, 0.02, 0.13, 0.26, 0.58, 0.82, 1.12, 
##     1.8, 1.83, 1.81, 1.65, 1.57, 1.14, 0.93, 0.9, 0.79, 0.71, 
##     0.63, 0.56, 0.5, 0.43, 0.31, 0.22, 0.08, -0.47, -0.56, -1.06, 
##     -1.11, -1, -0.83, -0.69, -0.51, -0.32, -0.37, -0.35, -0.35, 
##     -0.34, -0.06, -0.48, -0.48, -0.32, -0.21, -0.02, 0.14, 0.24, 
##     0.31, 0.75, 1.06, 0.31, -0.26, -0.35, -0.42, -0.82, -0.63, 
##     -0.64, -0.58, 1.24, 1.78, 1.83, 1.77, 1.7, 1.64, 1.33, 1.17, 
##     0.77, 0.34, 0.31, 0.67, 0.61, 0.55, 0.29, 0.05, -0.14, -0.37, 
##     -0.47, -1.09, -1.11, -1.16, -1.09, -1.03, -0.82, -0.69, -0.48, 
##     -0.02, 0, 0.1, 0.1, 0.06, -0.03, -0.03, -0.02, -0.05, -0.08, 
##     -0.11, -0.1, 0, -1.03, -1.56, -1.36, -0.51, -0.92, -0.88, 
##     -0.9, -1.43, -1.36, -0.95, -1.17, -0.74, -0.1, 0.5, 0.61, 
##     0.74, 1.45, -0.51, -0.67, -0.77, -0.06, 0.02, 0.05, 0.03, 
##     0.21, 0.34, 0.71, 1.09, 1.19, 1.45, 1.41, 0.69, 0.48, 0.35, 
##     0.42, 0.55, 0.59, 0.8, -0.59, -1.09, -1.46, -1.49, -0.79, 
##     -0.77, -1.03, -0.69, -0.64, -0.67, -0.72, -0.61, -0.43, -0.66, 
##     -0.02, 0.02, 0.13, 0.39, 0.47, 0.63, 1, 1.51, 0.48, 0.29, 
##     0.21, 0.16, 0.13, -0.21, -0.19, -0.43, -0.39, -0.35, -0.26, 
##     0.02, -0.5, -1.11, -1.09, -0.8, -0.55, -0.56, -0.56, -0.63, 
##     -0.59, -0.43, -0.26, -0.55, -0.79, -1.11, -1.62, -1.7, -1.54, 
##     -1.46, 0.26, 0.55, 0.87, 1.12, 0.64, -0.83, -1.17, -1.12, 
##     -0.9, -0.61, -0.51, -0.29, -0.02, -0.27, -0.5, -0.58, -0.71, 
##     -1.04, -1.08, -1.14, -0.93, -0.75, -0.66, -0.48, -0.11, -0.06, 
##     0.1, 0.32, 0.22, 0.35, 1.06, 1.3, -0.47, 0.08, 0.24, 1.45, 
##     1.64, 1.2, 0.42, 0.19, -0.24, -0.26, -0.29, -0.64, -0.77, 
##     -0.67, -0.66, -0.1, -0.24, -0.22, -0.19, -1, -1.49, -1.54, 
##     -1.38, -0.71, -0.98, -1.57, -0.96, -0.71, -0.64, -0.63, -0.1, 
##     -0.1, 0.02, 0.21, 0.27, 0.35, 0.35, 0.37, 0.42, 0.4, 0.37, 
##     0.32, 0.27, 0.31, 0.19, 0.14, 0.16, 0.14, 0.16, 0.13, 0.16, 
##     0.13, 0.14, 0.1, 0.13, 0.14, -0.08, -0.06, 0.08, 0.34, 0.59, 
##     0.85, 1.04, 1.19, 1.2, 1.2, 1.24, 1.3, 1.36, 1.3, 1.41, 1.4, 
##     1.36, -0.45, -0.45, -0.42, -0.35, 0.13, 0.32, 0.4, 0.45, 
##     0.66, 0.69, 0.77, 1.24, 1.43, 1.28, 1.2, 1.04, 0.61, 0.34, 
##     0.34, 0.21, -0.32, -0.43, -0.59, -0.45, -0.55, -0.16, -0.18, 
##     -0.45, -0.59, -0.53, -0.47, -0.39, -0.51, -0.53, -0.51, -0.8, 
##     -0.51, -0.39, -0.13, -0.16, -0.29, -0.42, -0.03, -0.24, 0.26, 
##     0.39, 0.31, 0.45, 0.79, 0.82, 0.21, 0.24, 0.24, 0.21, 0.14, 
##     0.13, 0.14, 0.11, 0.1, 0.11, 0.11, 0.13, 0.14, 0.14, 0.1, 
##     0.13, 0.11, 0.14, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.05, -0.22, -0.71, -0.08, -0.08, -0.06, 
##     -0.1, -0.06, -0.05, 0.22, 0.32, 0.35, 0.39, 0.47, 0.55, 0.59, 
##     0.63, 0.74, 0.8, 1.17, 1.19, 1.17, 1.06, 0.83, 0.47, 0.21, 
##     -0.11, -0.63, -0.22, 1.43, 1.36, 0.51, 0.37, 0.14, -0.4, 
##     -0.5, -0.11, -0.14, -0.31, -0.83, -1.04, -1.16, -1.09, -1.04, 
##     -0.66, -0.85, -1.12, -0.87, -0.83, -1, -0.82, -0.61, -0.24, 
##     -0.16, 0.05, 0.18, 0.35, 1, 1.12, 1.22, 1.17, 0.96, -0.85, 
##     -0.96, -1.06, -0.79, -0.03, 0.13, 0.21, 0.32, 0.61, 1.46, 
##     1.38, 0.82, 0.72, 0.48, 0.08, -0.22, 1.19, 0.82, 0.75, 1.65, 
##     -0.9, -1.51, -0.74, -0.34, -0.24, -0.42, -0.64, -1.27, -0.55, 
##     -0.43, -0.34, -0.34, -0.34, -0.14, 1.09, 1.2, 1.3, 1.36, 
##     1.53, 2.34, 2.44, -0.14, 0.03, 0.31, 0.31, 0.39, 0.47, 0.67, 
##     1.01, 0.93, 0.88, 0.93, 0.9, 0.18, -0.27, -0.72, -0.8, -0.98, 
##     -0.98, -0.95, -0.87, -1.01, -1.09, -0.82, -0.55, -0.64, -0.55, 
##     -0.42, 0.92, 2.07, 2.17, 1.83, 0.95, 0.79, 0.56, 0.43, 0.29, 
##     0.1, -0.02, -0.39, -0.56, -0.71, -1.01, -1.27, -1.01, -0.85, 
##     -0.77, -0.72, -0.67, -0.51, -0.61, -0.53, -0.37, 0.51, 0.58, 
##     0.59, 0.61, 0.58, 0.88, 1.25, 1.43, 2.18, 2.63, 2.71, 2.73, 
##     1.04, 0.37, 0.02, -0.27, -0.43, -0.83, -1.32, -0.5, -0.43, 
##     -0.42, -0.39, -0.37, -0.4, -0.31, -0.26, -0.24, -0.14, 0.02
##     ), gyros_dumbbell_z = c(0, -0.02, 0, 0, 0, 0, -0.02, 0, -0.02, 
##     -0.02, 0, 0, 0, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0, 0, -0.02, 0, -0.02, 0.02, 0, 0, 0, -0.02, -0.02, 
##     0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.03, -0.02, 
##     -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 
##     0, 0, 0, -0.02, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, 0, -0.02, 
##     -0.02, -0.02, -0.02, 0, 0.02, 0.03, 0.03, 0.03, -0.02, -0.02, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.44, -0.03, -0.03, 
##     -0.05, -0.08, -0.2, -0.2, -0.1, -0.05, -0.1, -0.15, -0.18, 
##     -0.28, -0.34, -0.34, -0.02, -0.15, -0.03, -0.15, -0.18, -0.28, 
##     -0.26, -0.3, -0.13, -0.13, -0.16, -0.15, -0.03, -0.08, -0.11, 
##     -0.11, -0.25, -0.26, -0.28, -0.2, -0.18, -0.2, -0.21, -0.21, 
##     -0.26, -0.18, -0.36, -0.25, -0.28, -0.26, -0.25, -0.16, -0.25, 
##     -0.25, -0.34, -0.34, -0.28, -0.3, -0.31, -0.31, -0.34, -0.3, 
##     -0.31, -0.25, -0.15, -0.33, -0.38, -0.39, -0.41, -0.34, -0.25, 
##     -0.25, -0.2, -0.2, -0.23, -0.25, -0.26, -0.25, -0.25, -0.28, 
##     -0.28, -0.25, -0.25, -0.23, -0.25, -0.26, -0.26, -0.28, -0.25, 
##     -0.26, -0.36, -0.38, -0.43, -0.41, -0.36, -0.16, -0.11, -0.23, 
##     -0.23, -0.25, -0.36, -0.36, -0.36, -0.34, -0.33, -0.21, -0.18, 
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##     -0.87, -0.95, -1.03, -1.2, -1.16, -0.74, -0.59, -0.48, 0.02, 
##     0.05, 0.15, 0.13, 0.11, -0.08, -0.2, -0.46, -1.16, -0.66, 
##     0.34, 0.15, 0.43, 0.34, 0.33, 0.25, 0.26, 0.18, -0.15, -0.38, 
##     -0.3, -0.3, 0.1, 0.02, 0.98, 0.97, 0.21, -0.82, -0.43, 0.39, 
##     0.02, 0.13, -0.16, -0.02, 0.46, 0.75, 0.13, -0.31, -0.66, 
##     -1.12, -1.15, -0.87, -0.64, -0.21, 0.33, 0.25, 0.49, 0.54, 
##     0.46, 0.15, 0.05, 0.02, -0.15, -0.52, -1.05, -1.25, -1.18, 
##     -1.31, -1.31, 0.52, -0.26, -0.48, -1.15, -1.08, -0.92, -0.87, 
##     -0.75, -0.03, -0.02, 0.05, 0.11, 0.16, 0.28, -0.05, -0.48, 
##     -0.8, -0.8, -0.59, -0.21, 0.15, 0.23, 0.18, 0.28, 0.15, 0.49, 
##     0.95, -0.49, -0.28, -1.43, -1.08, -0.94, -0.82, -0.75, -0.64, 
##     -0.34, -0.33, -0.57, -0.11, -0.03, -0.13, -0.38, -0.28, -0.16, 
##     -0.28, -0.39, -0.38, -0.39, -0.38, -0.36, -0.33, -0.34, -0.36, 
##     -0.38, -0.36, -0.38, -0.16, -0.23, -0.41, -0.52, -0.26, -0.44, 
##     -0.15, -0.02, 0.21, 0.33, 0.34, 0.25, 0.1, -0.15, -0.41, 
##     -0.41, -0.28, -0.11, -1.12, -1.16, -1.08, -0.43, -0.15, -0.02, 
##     0, -0.07, -0.03, 0.03, -0.2, -0.02, -0.08, -0.82, -0.72, 
##     -0.43, -0.57, -0.51, -0.44, -0.57, -0.54, -0.33, 0.23, -0.1, 
##     -0.59, -0.72, -0.97, -0.8, -1.16, -0.92, -0.67, -0.39, -0.43, 
##     -0.16, -0.75, -0.51, -0.62, -0.69, -0.57, -0.51, -0.44, -1.46, 
##     -1.3, 0.02, 0.44, 0.3, 0.13, 0.16, 0.15, -0.34, -0.36, -0.28, 
##     -0.3, -0.31, -0.33, -0.38, -0.36, -0.36, -0.41, -0.39, -0.38, 
##     -0.38, -0.41, 0.07, 0.13, 0.1, 0.08, 0.05, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.11, 0.11, -0.08, -0.15, -0.25, 
##     0.03, -0.13, -0.1, 0.03, 0.02, -0.03, -0.1, 0.07, 0.13, 0.1, 
##     0.11, 0.15, 0.16, 0.15, 0.25, 0.25, 0.23, 0.28, 0.28, 0.3, 
##     0.26, 0.18, 0.16, -0.05, -0.25, 0.1, -0.31, -0.38, -0.84, 
##     -0.43, 0.44, 0.1, 0.15, -0.82, -0.82, -0.72, -0.38, -0.02, 
##     0.23, 0.2, 0.28, 0.26, 0.2, 0.46, 0.84, 0.52, -0.08, 0.44, 
##     0.57, 0.15, -0.05, -0.31, -0.57, -0.92, -1.2, -1.3, -1.25, 
##     -0.64, -0.59, 0.41, 0.43, 0.44, 0.56, -0.59, -0.95, -1.05, 
##     -1.13, -1.26, -0.61, -0.77, -0.82, -0.79, -0.89, 0.08, 0.16, 
##     -0.74, -0.8, -0.84, -0.31, -0.23, 0.84, -0.07, -0.43, -0.84, 
##     -0.61, -0.43, -0.1, 0.54, 0.25, -0.05, -0.33, -0.41, -0.52, 
##     -1.03, -1.28, -1.38, -1.05, -1.03, 0.02, -0.39, -0.33, -0.16, 
##     -0.07, -0.21, -0.26, -0.26, -0.13, -0.11, -0.38, -0.26, -0.13, 
##     -0.16, -0.33, -0.13, 0.13, 0.21, 0.48, 0.77, 0.79, 0.92, 
##     0.79, 0.36, 0.13, 0.2, -0.21, -0.2, -0.13, 0.54, 0.64, 0.07, 
##     -0.15, -0.41, -0.54, -0.59, -0.62, -0.64, -0.44, -0.33, -0.21, 
##     -0.16, 0.11, 0.05, 0.02, -0.31, -0.25, -0.31, -0.3, -0.25, 
##     -0.33, -0.2, -0.62, -0.54, 0.41, 0.46, 0.49, 0.49, 0.26, 
##     0.33, 0.61, 0.64, 0.46, 0.25, 0.44, 0.52, 0.23, -0.28, -0.34, 
##     -0.44, -0.49, -0.69, -0.89, -0.72, -0.79, -0.79, -0.72, -0.34, 
##     -0.97, -0.51, -0.36, 0.05, 0.34, 0.36), accel_dumbbell_x = c(-232, 
##     -232, -234, -235, -233, -233, -234, -233, -231, -233, -234, 
##     -234, -234, -234, -233, -233, -234, -234, -234, -235, -234, 
##     -234, -234, -233, -233, -234, -235, -233, -233, -231, -233, 
##     -235, -236, -233, -234, -233, -233, -233, -233, -234, -233, 
##     -233, -234, -234, -233, -232, -234, -235, -234, -234, -235, 
##     -235, -233, -235, -234, -234, -235, -232, -235, -234, -232, 
##     -234, -234, -235, -234, -232, -233, -234, -234, -234, -234, 
##     -234, -233, -233, -235, -233, -232, -233, -235, -232, -232, 
##     -237, -237, -237, -237, -237, -237, -237, -237, -237, -237, 
##     -237, -237, -237, 5, 5, 6, 13, 10, 9, 13, -19, -10, 4, 16, 
##     19, 16, 6, 23, 27, 26, -1, 22, 24, 15, 7, 9, 15, 14, 10, 
##     1, 7, 18, 23, 15, 13, 16, 14, 13, 17, 16, 13, 10, 13, 10, 
##     17, 9, 7, 9, 21, 13, 7, 12, 13, 15, 16, 15, 15, 15, 16, 16, 
##     17, 24, 13, 5, 16, 13, 14, 18, 13, 13, 14, 13, 14, 16, 13, 
##     13, 12, 12, 14, 13, 15, 13, 12, 14, 15, 16, 17, 17, 15, 17, 
##     15, 20, 19, 17, 20, 16, 21, 15, 17, 27, 21, 20, 22, 23, 10, 
##     19, 9, 12, 18, 12, 16, 16, 20, 20, 31, 33, 19, 5, 14, 12, 
##     9, 38, 46, 19, 24, 21, 16, 17, 17, 18, 16, 14, 20, 23, 15, 
##     15, 15, 15, 19, 5, 2, 21, 29, 18, 25, 27, 19, 30, 27, 19, 
##     24, 18, 19, 25, 20, 25, 16, 26, 14, 15, 12, 24, 24, 28, 24, 
##     27, 29, 27, 19, 23, 14, 32, 25, 28, 23, 18, 16, 22, 25, 34, 
##     26, 19, 14, 22, 23, 20, 24, 21, 21, 24, 24, 16, 25, 23, 24, 
##     17, 17, 12, 16, 17, 16, 18, 22, 24, 22, 20, 19, 17, 25, 18, 
##     21, 22, 25, 23, 25, 31, 30, 17, 17, 32, 27, 17, 19, 6, 25, 
##     23, 18, 20, 20, 21, 25, 19, 37, 28, 15, 21, 18, 17, 26, 28, 
##     32, 27, 27, 33, 32, 25, 27, 24, 23, 18, 24, 26, 33, 22, 19, 
##     25, 27, 23, 23, 31, 34, 30, 24, 24, 15, 12, 24, 19, 26, 38, 
##     18, 21, 19, 36, 24, 31, 29, 30, 28, 24, 24, 26, 23, 21, 34, 
##     25, 32, 30, 19, 14, 10, 27, 25, 19, 17, 21, 26, 30, 28, 27, 
##     29, 34, 30, 17, 27, 16, 12, 17, 7, 11, 18, 20, 19, 20, 44, 
##     50, 35, 14, 41, 5, 16, 29, 28, 22, 20, 28, -53, -47, -49, 
##     -50, -53, -48, -49, -49, -48, -50, -50, -49, -49, -47, -51, 
##     -51, -49, -50, -47, -49, -50, -50, -52, -55, -50, -48, -47, 
##     -51, -51, -54, -54, -49, -47, -48, -46, -46, -54, -42, -39, 
##     -41, -44, -48, -48, -49, -49, -49, -49, -50, -49, -47, -47, 
##     -50, -47, -47, -55, -54, -47, -52, -51, -53, -52, -51, -49, 
##     -51, -53, -52, -50, -51, -49, -52, -58, -45, -45, -52, -48, 
##     -49, -52, -53, -53, -52, -49, -51, -50, -53, -52, -49, -51, 
##     -52, -52, -52, -50, -50, -51, -50, -50, -50, -49, -50, -52, 
##     -50, -50, -53, -51, -51, -52, -51, -51, -53, -52, -49, -54, 
##     -50, -53, -52, -56, -54, -52, -51, -54, -46, -54, -55, -53, 
##     -51, -53, -52, -50, -54, -54, -53, -46, -48, -47, -58, 5, 
##     8, 3, -1, -6, -7, -2, 0, -8, -10, -6, -3, -10, -51, -54, 
##     -53, -47, -54, -55, -49, -50, -56, -55, -55, -58, -56, -56, 
##     -52, -49, -49, -53, -51, -53, -54, -55, -52, -54, -49, -51, 
##     -48, -49, -52, -47, -50, -56, -48, -45, -51, -52, -51, -52, 
##     -50, -46, -48, -48, -49, -52, -51, -51, -54, -53, -50, -53, 
##     -51, -53, -50, -45, -49, -60, -58, -59, -64, -63, -57, -55, 
##     -48, -50, -55, -54, -52, -55, -54, -51, -48, -49, -52, -51, 
##     -52, -57, -60, -52, -53, -51, -51, -51, -50, -50, -51, -53, 
##     -55, -55, -55, -52, -47, -46, -45, -48, -56, -55, -54, -46, 
##     -50, -50, -49, -51, -47, -50, -48, -54, -48, -49, -48, -50, 
##     -51, -51, -49, -48, -54, -51, -48, -53, -50, -49, -49, -51, 
##     -56, -47, -33, -44, -49, -50, -44, -51, -44, -42, -45, -40, 
##     -47, -45, -49, -46, -43, -41, -46, -48, -55, -47, -40, -47, 
##     -42, -50, -49, -47, -42, -43, -43, -40, -41, -38, -37, -37, 
##     -42, -48, -44, -44, -55, -43, -44, -49, -44, -49, -44, -46, 
##     -45, -45, -46, -51, -45, -43, -50, -43, -44, -44, -52, -49, 
##     -45, -46, -42, -46, -41, -45, -47, -47, -47, -45, -47, -46, 
##     -49, -45, -48, -40, -45, -45, -42, -43, -44, -42, -47, -63, 
##     -59, -47, -49, -45, -52, -53, -42, -44, -49, -46, -43, -51, 
##     -42, -46, -49, -48, -54, -44, -45, -56, -52, -51, -47, -42, 
##     -41, -43, -43, -44, -41, -45, -47, -59, -48, -50, -40, -56, 
##     -34, -36, -53, -43, -47, -40, -44, -50, -44, -47, -45, -44, 
##     -43, -50, -48, -50, -51, -45, -43, -48, -44, -45, -47, -45, 
##     -47, -50, -49, -53, -49, -49, -44, -45, -44, -45, -48, -45, 
##     -44, -45, -44, -45, -45, -45, -48, -51, -39, -45, -44, -57, 
##     -44, -50, -47, -60, -47, -54, -46, -49, -48, -47, -46, -47, 
##     -47, -43, -59, -45, -48, -43, -54, -43, -46, -45, -44, -45, 
##     -44, -46, -45, -40, -41, -41, -42, -50, -48, -49, -47, -49, 
##     -46, -52, -44, -46, -51, -47, -48, -49, -46, -47, -45, -46, 
##     -45, -43, -45, -44, -42, -45, -50, -43, -45, -42, -42, -45, 
##     -43, -42, -43, -45, -52, -54, -45, -48, -46, -49, -43, -49, 
##     -45, -43, -54, -46, -39, -52, -44, -50, -51, -49, -49, -46, 
##     -44, -49, -53, -55, -53, -49, -46, -39, -42, -42, -44, -43, 
##     -41, -47, -44, -45, -45, -45, -44, -46, -47, -47, -53, -46, 
##     -44, -47, -45, -49, -41, -39, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, -214, -214, 
##     -214, -214, 4, 8, 2, 12, 15, 19, 16, 27, 7, 3, 3, 1, 0, 4, 
##     -13, -10, -11, -7, -8, -3, -12, -13, -11, -21, -13, -6, -4, 
##     -7, -11, -11, -6, -1, -5, -6, -5, -6, -13, -13, -13, -6, 
##     -15, -12, -5, 5, 6, 9, 11, 11, 28, 32, 41, 40, 40, 46, 31, 
##     29, 21, 15, 12, 12, 11, 4, 6, -5, -2, -11, -1, 4, -7, -12, 
##     -7, -17, -8, -1, 4, -3, -2, 0, 1, 0, -8, -11, -2, -8, -14, 
##     -3, -8, -4, -8, -1, -4, 0, -6, 1, 6, 13, 17, -3, -13, -6, 
##     3, -1, -2, -3, 0, -2, -3, -1, -6, -10, -1, -3, -6, -6, 0, 
##     -2, 2, 10, 19, 29, 32, 30, 39, 43, 48, 41, 30, 22, 20, 18, 
##     24, 20, 3, 7, 3, -3, -6, -4, -3, -3, -10, -7, 1, -11, -7, 
##     -5, -7, 4, 9, 21, 27, 29, 21, 34, 36, 55, 22, 21, 14, 18, 
##     11, 11, 17, -1, 28, 30, 30, 15, 22, 24, 18, 15, 17, 6, 1, 
##     -3, -1, -2, -9, -27, 6, 1, -11, -11, 4, -10, -6, -6, 1, 2, 
##     7, 3, 10, 11, 16, 16, 25, 29, 39, 26, 24, 24, 25, 28, 17, 
##     17, 12, 13, 7, 14, 1, 10, 10, 3, -3, -17, -20, -16, 6, 8, 
##     1, -2, -10, 4, 5, -3, -7, -7, -7, -19, -5, -6, 0, 2, 20, 
##     17, 10, 17, 26, 34, 40, 41, 43, 43, 37, 33, -17, -12, -7, 
##     -9, -14, -8, -5, -5, -1, -7, -12, -13, -9, -6, -10, -17, 
##     -17, -12, -10, -12, -13, -11, -12, -15, -13, -13, -11, -12, 
##     -12, -11, -13, -12, -12, -11, -9, -11, -11, -11, -12, -11, 
##     -9, -8, -6, -12, -9, -13, -12, -18, -14, -16, -24, -14, -13, 
##     -9, -11, 3, 8, 41, 74, 131, 129, 143, 150, 159, 160, 162, 
##     162, 107, 44, 47, 12, 13, 8, -11, -11, -35, -24, -4, -12, 
##     -9, -5, -1, -6, -17, -6, -4, -2, 1, 0, -15, -144, -144, -146, 
##     -144, -143, -147, -146, -144, -144, -145, -147, -146, -143, 
##     -146, -144, -141, -144, -144, -144, -143, -145, -143, -143, 
##     -145, -147, -145, -145, -145, -143, -145, -146, -147, -142, 
##     -143, -145, -145, -147, -146, -144, -144, -146, -143, -144, 
##     -147, -145, -146, -145, -144, -144, -145, -145, -143, -143, 
##     -143, -144, -144, -147, -145, -146, -145, -145, -145, -143, 
##     -144, -145, -146, -146, -145, -146, -145, -145, -144, -145, 
##     -146, -145, -145, -147, -144, -145, -146, -145, -146, -146, 
##     -146, -147, -145, -145, -144, -145, -145, -144, -144, -143, 
##     -144, -143, -142, -144, -147, -144, -142, -144, -149, -145, 
##     -143, -146, -148, -142, -146, -145, -144, -145, -147, -146, 
##     -142, -143, -143, -149, -147, -145, -149, -149, -140, -140, 
##     -141, -145, -144, -143, -144, -145, -145, -144, -142, -145, 
##     -149, -135, -144, -154, -133, -132, -145, -139, -142, -134, 
##     -137, -144, -135, -139, -137, -140, -144, -152, -142, -140, 
##     -142, -141, -141, -140, -144, -141, -140, -141, -137, -141, 
##     -140, -143, -140, -142, -142, -141, -141, -141, -140, -140, 
##     -141, -141, -142, -141, -139, -146, -133, -139, -144, -144, 
##     -141, -142, -141, -143, -141, -141, -141, -140, -140, -141, 
##     -139, -140, -140, -141, -141, -142, -141, -140, -141, -143, 
##     -140, -140, -142, -141, -143, -143, -140, -139, -144, 18, 
##     17, 14, 17, 22, 18, 7, 14, 2, 6, 10, 4, -1, -1, 4, 9, 5, 
##     17, -1, 2, 3, 3, 0, 3, 4, 4, 5, 4, 3, 3, 3, 4, -2, 3, -1, 
##     -2, 0, -1, -2, -3, 1, 1, 1, 2, 4, 6, 7, 15, 9, 8, 4, 8, 6, 
##     6, 5, 5, 4, 3, 0, 6, 3, 0, 5, 6, 5, 7, 5, 1, 8, 1, 2, 11, 
##     0, 4, 4, 4, 3, 3, 4, 3, 2, 0, 2, 0, 3, 2, 6, 11, 4, 4, 4, 
##     5, -1, -3, -2, 4, 8, 3, 0, -11, -3, 6, 3, 1, -1, 2, 3, 1, 
##     4, 3, 0, 0, 5, 3, -1, 1, 3, -1, 1, -3, 7, 11, 12, 8, 3, 4, 
##     4, 3, 3, 2, 3, 1, 2, -1, 6, -3, 7, 2, -4, 0, -2, -3, 5, -6, 
##     2, -1, -6, 0, 4, 3, -6, 3, 2, 0, 5, -6, -3, -7, 0, 8, 3, 
##     -2, 4, -6, -5, 3, -5, 6, 8, 6, 0, -8, -15, 7, 10, 5, -1, 
##     -8, 0, 3, 1, -1, 1, -3, -2, 1, -1, -4, -4, -7, -2, 0, 4, 
##     3, 10, 6, 7, 6, 0, -3, -1, 1, -4, 0, 3, 2, -1, 0, 2, 12, 
##     -8, 8, 1, 0, 2, 4, 3, 0, 1, 0, -5, -6, -3, -2, 2, 5, 12, 
##     13, 5, 6, 3, -1, -5, 3, 1, -6, -4, 1, 4, -2, 2, -2, 2, -1, 
##     3, 0, -1, -1, -5, 3, -1, -1, 6, 2, 1, -4, -4, 3, 3, -2, -3, 
##     4, 4, 1, -6, -3, -3, -3, -6, -2, -1, -1, 5, 7, 18, 8, 9, 
##     7, 3, 2, -1, 0, 1, -2, 5, 1, -4, 12, 3, 11, 3, 6, -4, 10, 
##     14, 3, 0, -2, 3, 3, -8, -7, 2, 7, 2, 4, 1, 4, -2, -7, -4, 
##     -2, 4, 12, 8, 8, 2, 6, 3, 3, 2, 6, 5, 4, 12, 20, 10, -11, 
##     8, 5, 2, -1, 1, 1, -1, -1, 0, 2, 0, 3, 0, 0, 0, 0, -1, 0, 
##     -1, 2, -1, 1, -1, 1, 0, 1, 2, 1, 3, 1, 1, 1, 1, 0, 0, 1, 
##     1, 0, 0, -1, 1, 1, 0, 1, 0, -1, -1, -141, -141, -144, -142, 
##     -139, -142, -141, -141, -141, -142, -141, -140, -141, -142, 
##     -142, -142, -141, -141, -143, -145, -142, -142, -141, -141, 
##     -140, -142, -140, -141, -140, -141, -141, -141, -142, -143, 
##     -142, -141, -141, -142, -142, -142, -143, -141, -140, -142, 
##     -140, -143, -140, -141, -141, -141, -141, -141, -142, -144, 
##     -145, -140, -144, -140, -143, -140, -140, -140, -141, -141, 
##     -142, -139, -140, -141, -140, -142, -141, -141, -141, -142, 
##     -142, -141, -141, -142, -141, -141, -141, -141, -139, -141, 
##     -142, -141, -141, -142, -139, -141, -137, -141, -139, -144, 
##     -145, -144, -142, -142, -140, -139, -140, -141, -144, -146, 
##     -141, -149, -128, -138, -139, -139, -142, -146, -145, -139, 
##     -139, -148, -142, -128, -137, -142, -140, -142, -140, -141, 
##     -140, -142, -147, -138, -140, -142, -140, -142, -145, -143, 
##     -143, -142, -137, -140, -154, -142, -133, -123, -149, -139, 
##     -140, -140, -142, -140, -138, -140, -142, -142, -141, -144, 
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##     -1, -6, -2, -10, -5, -6, -3, 10, -8, 0, -1, -6, -6, -9, 3, 
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##     -14, -14, -2, 6, 3, -4, 0, -7, -4, 6, 0, -4, 0, -8, -11, 
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##     -49, -38, -56, -47, -34, -46, -58, -57, -46, -56, -47, -48, 
##     -45, -47, -11, -11, -9, -7, -6, -5, -9, -7, -5, -5, -3, -5, 
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##     4, -10, -5, -4, -2, -8, 5, 1, 0, -2, -5, -5, -11, -14, -1, 
##     -4, -6, -2, -5, -5, -13, -1, -7, -2, -15, -17, -7, -9, -7, 
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##     -5, -6, -7, -8, -8, -6, -6, -5, -4, -3, -7, -6, -142, -141, 
##     -147, -148, -145, -140, -147, -143, -140, -136, -140, -148, 
##     -145, -145, -148, -147, -126, -128, -141, -138, -140, -142, 
##     -141, -139, -140, -139, -139, -142, -141, -142, -142, -140, 
##     -139, -140, -142, -142, 28, 26, 20, 20, 11, -1, -8, -5, -16, 
##     -14, -8, -10, -9, -10, -5, -10, 6, 13, 12, 18, 2, -4, -1, 
##     -11, -3, 2, 3, -19, -34, -1, -5, -6, -2, 2, 2, -1, -5, -5, 
##     -2, -4, -5, -5, -13, -13, -14, 1, 9, 9, 6, 2, -6, 37, 35, 
##     13, 21, 13, 14, 17, 14, 3, 2, 3, -1, -6, -7, -5, -13, -13, 
##     -13, -13, -13, -13, -13, -9, -11, -11, -6, -4, -4, -5, -5, 
##     -3, -3, -3, -3, -1, -204, -205, -204, -206, -419, -206, -206, 
##     -204, -203, -205, -203, -203, -205, -205, -204, -205, -203, 
##     -205, -205, -204, -204, -204, -205, -204, -205, -206, -205, 
##     -206, -206, -205, -204, -203, -205, -206, -205, -206, -206, 
##     -207, -204, -205, -204, -205, -205, -205, -205, -206, -205, 
##     33, 21, 22, 29, 33, 23, 27, 26, 26, 25, 26, 31, 29, 28, 27, 
##     20, 23, 36, 41, 22, 20, 17, 26, 26, 29, 41, 41, 35, 32, 30, 
##     27, 30, 30, 24, 27, 32, 39, 25, 24, 26, 20, 24, 16, 16, 24, 
##     32, 23, 24, 23, 23, 27, 21, 25, 16, 17, -20, -24, -8, 10, 
##     -2, 8, -4, -9, -5, 4, -3, 3, 8, 5, 4, 4, -5, -4, 22, 30, 
##     31, 28, 26, 23, 18, 31, 30, 26, 24, 27, 33, 30, 21, 22, 23, 
##     19, 19, 28, 15, 27, 38, 31, 20, 25, 28, 27, 25, 32, 24, 18, 
##     25, 23, 17, 20, 24, 20, 26, 23, 20, 20, 22, 23, 21, 22, 21, 
##     18, -8, -7, -11, -33, -43, -42, -33, -30, -17, -21, -30, 
##     8, -14, -7, 10, -3, 14, 32, 6, 20, 34, 43, 45, 40, 2, 5, 
##     22, 26, 18, 10, 6, 7, 6, 11, 9, -2, -14, -21, -32, -38, -42, 
##     -37, -30, -21, -22, -21, 2, 15, 2, 23, 19, 5, 1, 11, 8, 44, 
##     15, 14, 12, -4, -19, -12, -28, -31, -44, -53, -29, -31, -36, 
##     -52, -45, -50, -29, -8, -8, 22, 17, 17, 17, 18, 28, 4, 2, 
##     5, -10, -11, -59, -61, -62, -63, -63, -82, 9, 30, 12, 26, 
##     21, 16, 11, 1, 0, -9, -18, -36, -38, -53, -60, -81, -66, 
##     -50, -41, -43, -14, -5, 2, 25, 22, 2, 14, 70, 2, 19, 21, 
##     28, 19, 33, 12, 13, 9, 6, -13, -23, -50, -62, -65, -63, -55, 
##     -58, -57, -55, -61, -35, -25, 22, 23, 31, -59, -53, -41, 
##     -30, -14, -14, -7, -15, 9, -10, 43, 67, 28, 8, -5, 10, 17, 
##     18, 12, 19, 18, 23, 12, 5, 0, 1, -11, -14, -29, -49, -86, 
##     -86, -78, -53, -67, -67, -66, -84, -57, -44, -29, -4, 2, 
##     4, 18, 4, 2, 26, 26, -3, 5, 15, 12, 17, -3, 34, 83, 98, 150, 
##     161, 174, 27, 43, 66, 76, 147, 183, 192, 189, 186, 188, 191, 
##     189, 189, 189, 184, 186, 194, 200, 166, 166, 154, 154, 150, 
##     141, 128, 98, 81, 74, 51, 49, 27, 33, 26, 4, -5, -20, -14, 
##     -8, -1, -3, -7, -6, -9, -9, -3, -3, -7, -15, -21, 2, 7, -5, 
##     -5, 0, 6, 3, 37, 42, 64, 74, 108, 153, 156, 183, 192, 198, 
##     202, 198, 200, 198, 205, 195, 188, 179, 157, 159, 151, 152, 
##     145, 132, -10, -4, 4, 12, 15, 26, 29, 33, 48, 71, 100, 173, 
##     180, 192, 191, 199, 195, 203, 212, 204, 210, 179, 162, 161, 
##     144, 149, 128, 121, 72, 46, 39, 35, 22, 10, -20, -20, -20, 
##     -34, 2, 2, -10, -9, -9, -5, -17, -23, -4, 5, -4, 213, 224, 
##     179, 180, 163, 147, 135, 110, 107, 90, 84, 81, 77, 28, 21, 
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##     -8, 7, 21, 30, 33, 43, 49, 82, 177, 182, 195, 191, 187, 199, 
##     212, 206, 199, 184, 119, 117, 95, 41, 28, 21, 14, -16, -56, 
##     -19, 9, -6, -6, -8, -1, -2, -4, -9, -11, -8, 1, 10, 31, 39, 
##     41, 45, 112, 127, 199, 214, 179, 156, 153, 49, 45, 36, 19, 
##     14, 2, 1, -2, -13, -7, -9, 6, 2, 5, -14, -36, -1, 49, 93, 
##     63, 43, 37, 22, 20, 23, 25, 26, 27, 27, 27, 28, 28, 26, -5, 
##     -43, -15, -8, -2, -8, -6, -9, -12, 39, 108, 129, 148, 178, 
##     208, 210, 209, 210, 204, 197, 184, 136, 113, 121, 85, 67, 
##     41, 37, 33, 17, 18, -3, 0, 3, -1, 2, 0, -6, -1, -7, -4, 9, 
##     -7, 1, 7, 7, 9, 9, 10, 25, 25, 26, 26, 33, 56, 59, 68, 70, 
##     89, 95, 107, 87, 39, 5, 6, 4, 1, 2, -9, -1, -7, -6, -6, -7, 
##     -6, -5, -1, 0, 4, -4, -12, -4, -6, 8, 16, 51, 117, 128, 90, 
##     56, 36, 23, 34, 30, 18, 9, 3, 20, 4, 13, 5, 2, 0, -2, -8, 
##     108, 122, 132, 141, 179, 170, 126, 77, 46, 28, 29, 8, 11, 
##     16, 5, 3, 2, 0, 6, -2, 2, -4, -10, -1, 0, 0, 0, 2, 5, -4, 
##     -3, 14, 1, 6, 7, 8, 3, -6, -3, -6, -9, -3, -3, -8, -6, -5, 
##     -8, -2, -4, -7, -6, -6, -11, -11, 31, 58, 70, 79, 113, 132, 
##     147, 145, 116, 69, 46, 41, 28, 19, 14, 18, 18, 7, 8, 23, 
##     22, 23, 7, 0, -3, -9, 0, 0, 0, -5, -1, -1, -14, 69, 31, 26, 
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##     -1, -4, -9, 3, -6, -9, -12, 5, -8, -3, -4, -3, 4, 5, 2, 3, 
##     -9, -13, -13, -28, -17, -10, 10, 34, 80, 85, 105, 96, 100, 
##     88, 9, 12, -8, -2, -8, -4, 1, -2, 0, 96, 85, 73, 70, 43, 
##     52, 37, 39, 41, 44, 34, 15, 6, 2, 6, 7, 5, 7, 11, 4, 5, 4, 
##     9, 12, 7, 4, 7, 10, 8, 11, 8, 9, 12, 14, 15, 13, 9, 6, 13, 
##     15, 8, 11, 12, 13, 9, 7, 8, 7, 11, 9, 7, 11, 12, 11, 15, 
##     11, 10, 7, 1, 7, 7, -125, -124, -124, -127, -124, -123, -130, 
##     -133, -130, -133, -135, -137, -132, -113, -143, -122, -129, 
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##     -140, -143, -142, -138, -136, -141, -114, -122, -74, -65, 
##     -39, -65, -62, -77, -83, -104, -115, -107, -99, -134, -118, 
##     -93, -78, -65, -71, -60, -75, -79, -77, -75, -82, -113, -92, 
##     -125, -123, -129, -173, -134, -124, -117, -124, -139, -142, 
##     -133, -126, -126, -111, -124, -75, -63, -60, -54, -58, -50, 
##     -79, -82, -109, -97, -136, -116, -116, -147, -170, -135, 
##     -145, -145, -146, -141, -139, -131, -143, -117, -99, -87, 
##     -83, -57, -75, -77, -79, -83, -117, -102, -107, -134, -140, 
##     -163, -143, -82, -80, -109, -111, -122, -128, -137, -141, 
##     -163, -133, -122, -124, -130, -140, -118, -116, -62, -68, 
##     -58, -69, -69, -84, -82, -83, -94, -97, -92, -130, -156, 
##     -158, -165, -154, -134, -127, -141, -143, -138, -127, -128, 
##     -128, -148, -152, -86, -86, -81, -71, -71, -73, -69, -83, 
##     -97, -96, -76, -100, -105, -122, -114, -126, -121, -134, 
##     -114, -119, -124, -114, -128, -81, -73, -69, -59, -64, -65, 
##     -125, -124, -134, -128, -141, -134, -103, -69, -59, -65, 
##     -69, -76, -71, -69, -115, -105, -49, -50, -58, -55, -47, 
##     -48, -45, -45, -45, -44, -28, -21, 33, 10, -1, -1, -7, -27, 
##     -14, -9, -27, -34, -23, -28, -26, -48, -52, -54, -43, -45, 
##     -47, -48, -51, -50, -46, -52, -51, -47, -44, -47, -46, -44, 
##     -44, -31, -33, -33, -26, -13, -2, 3, 10, 4, 11, 32, 40, 42, 
##     42, 20, 10, -9, -14, -10, -22, -23, -29, -33, -34, -41, -48, 
##     -45, -54, -47, -58, -50, -43, -44, -36, -39, -45, -44, -43, 
##     -40, -7, 3, 9, 19, 19, 21, 27, 30, 28, 38, -42, -28, -45, 
##     -45, -69, -50, -51, -35, -57, -53, -50, -49, -46, -45, -49, 
##     -54, -53, 40, 60, 61, 66, 44, 28, -18, -19, -24, -20, -26, 
##     -19, -29, -40, -10, -33, -43, -44, -40, -54, -48, -50, -52, 
##     -39, -44, -46, -56, -57, -47, -45, -45, -43, -55, -67, -47, 
##     -43, -44, -45, -43, -37, -25, -14, -22, -24, -17, 9, 17, 
##     27, 33, 42, 49, 43, 52, 50, 53, 52, -40, -43, -49, -47, -48, 
##     -47, -57, -44, -37, -35, -44, -46, -42, -38, -45, -39, -37, 
##     31, 28, -39, -42, -40, -46, -41, -39, -41, -37, -47, -55, 
##     -52, -46, -44, -44, -45, -52, -43, -44, -46, -52, -35, -34, 
##     -37, -45, -31, -18, -13, -2, -1, 12, 18, 24, 24, 26, 31, 
##     25, 25, 28, 27, 24, 18, -29, -39, -43, -36, -32, -31, -44, 
##     -42, -52, -53, -38, -53, -35, -62, -46, -48, -52, -50, -47, 
##     -56, -57, -50, -60, -46, -47, -36, -43, -43, -54, -54, -41, 
##     -29, -33, -28, -26, -18, 3, 7, 11, 13, 19, 21, 22, 23, 29, 
##     32, 28, 27, 32, 34, 36, 33, 21, -25, -32, -37, -31, -31, 
##     -19, -22, -38, -42, -48, -49, -46, -50, -49, -47, -39, -41, 
##     -55, -53, -50, -54, -53, -47, -43, -55, -44, -45, -44, -46, 
##     -36, -34, 40, 47, 40, 36, 21, 14, -40, -33, -17, -10, -38, 
##     -35, 50, -30, -33, -27, -34, -40, -32, -38, -48, -47, -49, 
##     -60, -41, -46, -34, -40, -10, -8, -4, -3, 11, 11, 18, 24, 
##     21, 21, 25, 27, 41, 49, 56, 55, 58, 56, 47, 22, 18, 11, -17, 
##     -17, -17, -5, -9, -8, -2, 14, 18, 43, 46, 52, 50, 55, 53, 
##     51, 48, 47, 46, 43, -41, -48, -44, -50, -49, -53, -51, -41, 
##     -50, -38, -41, -48, -40, -42, -44, -54, -53, -43, -49, -42, 
##     -49, -47, -45, -44, -44, -41, -8, -5, -2, -7, -5, -2, 0, 
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##     0, -4, -3, -3, -7, -3, -2, -1, -3, -5, -10, -10, 4, 2, -1, 
##     -12, -12, -5, -3, -5, -6, -6, -5, -5, -6, -4, -4, -11, -9, 
##     -9, -18, -4, 3, -7, -11, -8, -3, -5, -1, -1, 4, 2, 14, 19, 
##     48, 55, 58, 114, 140, 128, 116, 110, 77, 51, 26, 32, 33, 
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##     0, 5, 8, 10, 22, 31, 40, 41, 43, 53, 60, 69, 78, 84, 85, 
##     94, 94, 99, 109, 27, 11, 14, 19, 24, -5, 25, 22, 14, -6, 
##     -7, -5, -2, 2, 6, 2, -1, 1, 6, 6, 79, 82, 92, 93, 95, 106, 
##     85, 76, 55, 49, 26, 18, 11, 22, 19, 11, 8, 12, 14, -11, -6, 
##     1, -5, 2, 3, 7, 7, 16, 14, 13, 12, 24, 37, 33, 49, 59, 61, 
##     66, 68, 70, 77, 77, 77, 73, 59, 56, 58, 51, 43, 42, 43, 39, 
##     32, 30, 26, 19, 7, 5, -3, 10, 7, 3, 4, 7, 3, -2, 12, 12, 
##     9, 12, 10, -6, 17, 20, 29, 25, 24, 29, 23, 24, 21, 22, 36, 
##     35, 48, 45, 55, 56, 59, 72, 75, 76, 76, 78, 67, 49, 37, 41, 
##     46, 50, 41, 41, 28, 27, 23, 21, 26, 10, 6, 7, 4, 14, 16, 
##     19, 18, 18, 16, 19, 49, 44, 53, 60, 61, 66, 73, 87, 87, 80, 
##     73, 65, 58, 38, 18, 28, 19, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, -23, 
##     -18, -21, -31, -30, -28, -27, -39, -29, -27, -30, -33, -29, 
##     -33, -36, -33, -41, -11, -20, -20, -18, 23, 21, 21, 29, 28, 
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##     -31, -33, -17, -15, -22, -7, -4, -6, -3, 3, 11, 23, 24, 29, 
##     36, 45, 42, 50, 53, 55, 71, 65, 69, 70, 68, 51, 42, 30, 27, 
##     14, 7, 6, 3, 5, 2, 4, 1, -4, -6, -8, -13, -12, -14, -11, 
##     -67, -54, -42, -39, -42, -43, -40, -34, -38, -42, -42, -45, 
##     -42, -44, -42, -46, -47, -48, -46, -53, -37, -43, -46, -51, 
##     -48, -53, -56, -54, -49, -46, -47, -46, -47, -48, -48, -49, 
##     -47, -45, -48, -48, -47, -48, -47, -49, -49, -48, -47, -48, 
##     -47, -49, -48, -48, -47, -51, -47, -50, -47, -48, -47, -51, 
##     -48, -50, -53, -48, -50, -49, -49, -52, -47, -46, -49, -45, 
##     -11, -5, -5, -4, -4, -6, -6, 1, -14, -13, -3, -14, -3, 23, 
##     5, 6, 6, 6, 5, 4, 1, 0, 4, 9, 11, 8, 3, 8, 15, 13, 25, 22, 
##     50, 52, 55, 60, 67, 67, 72, 120, 126, 124, 126, 120, 109, 
##     82, 69, 55, 57, 48, 43, 39, 33, 50, 1, 3, 10, 14, 7, 4, 13, 
##     10, 11, 15, 6, 6, -140, -25, -138, -138, -146, -120, -114, 
##     -118, -129, -130, -139, -71, -66, -71, -83, -101, -78, -80, 
##     -115, -114, -123, -121, -132, -111, -124, -154, -151, -147, 
##     -121, -127, -126, -133, -120, -116, -89, -88, -53, -93, -82, 
##     -92, -96, -109, -160, -159, -160, -142, -113, -133, -131, 
##     -138, -150, -161, -138, -137, -134, -130, -139, -130, -172, 
##     -132, -109, -110, -109, -128, -142, -151, -155, -133, -143, 
##     -138, -138, -143, -143, -137, -142, -140, -138, 22, 22, 22, 
##     22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 103, 
##     120, 148, 163, 176, 212, 204, 194, 209, 211, 197, 164, 168, 
##     144, 145, 129, 112, 103, 7, 74, 83, 94, 124, 168, 212, 209, 
##     209, 219, 235, 102, 91, 63, 31, 27, 25, 10, 4, -3, -18, -28, 
##     -13, -5, -5, -2, -1, -9, -18, -18, -18, -5, -2, -6, 1, -12, 
##     -19, -16, -2, 2, 151, 135, 134, 113, 101, 90, 89, 81, 72, 
##     46, 46, 38, 12, 13, -9, 18, 6, -5, -22, -26, -49, -47, -53, 
##     -69, -63, -73, -76, -72, -76, -86, -59, -57, -58, -84, -26, 
##     -24, -16, 21, 29, 23, 19, 19, 12, 7, 1, 2, -2, 0, 3, 4, 1, 
##     0, 1, 2, -1, -2, -1, 1, -2, 6, 3, 0, 0, 2, 3, 2, 3, 2, 4, 
##     4, 4, 9, 12, 14, 9, 13, 10, -1, 1, 2, -2, 1, -18, -21, -20, 
##     -8, 31, 41, 66, 68, 34, 37, 41, 66, 71, 98, 125, 114, 106, 
##     58, 25, -18, -1, -2, -5, -5, -6, 1, 6, 18, 24, 27, 52, 70, 
##     79, 18, 19, 33, 50, 49, 61, 83, 108, 111, 87, 71, 67, 11, 
##     4, 1, -8, -5, -6, -1, -13, -3, -5, -2, 1, -5, 1, 0, -4, -3, 
##     -7, -1, 2, -3, 11, 14, 13, 58, 71, 87, 84, 111, 120, 124, 
##     122, 119, 110, 104, 85, 56, 44, -6, -10, -5, -2, -4, 2, 2, 
##     -3, -15, -1, 12, 41, 89, 15, 17, 23, 27, 24, 3, 13, -2, -38, 
##     -38, -52, -53, -80, -94, -91, -92, -85, -87, -82, -87, -23, 
##     9, 22, 8, 5, 5, 4, 4, 10, 19, 19, 27, 21, 6, -13, -21, -24, 
##     -26, -50, -62, -77, -65, -57, -58, -71, -73, -57, -53, -57, 
##     -57, -16, -22, -18, -18, -14, -3, 18, 66, 11, 26, 15, 3, 
##     8, 15, 17, 22, 22, 23, 24, 17, 24, 24, 26, 29, 25, 21, 19, 
##     25, 25, 26, 32, 27, 32, 24, 25, 19, 33, 27, 25, 28, 32, 23, 
##     25, 24, 34, 27, 29, 25, 17, 21, 20, 14, 22, 20, 25, 23, 23, 
##     22, 24, 36, 24, 27, 28, 29, 28, 27, 21, 16, 18, 35, 30, 17, 
##     8, 9, 42, 29, 20, 11, 13, 29, 16, 15, 21, 22, 19, 27, 26, 
##     28, 30, 28, 30, 28, 26, 25, 23, 37, 26, 24, 28, 19, 23, 30, 
##     30, 20, 38, 34, 18, 20, 12, 41, 41, 37, 24, 14, 22, 30, 30, 
##     26, 24, 22, 25, 27, 23, 20, 23, 26, 24, 31, 23, 27, 29, 25, 
##     30, 38, 34, 6, 14, 26, 22, 28, 29, 9, 10, 38, 14, 19, 31, 
##     33, 28, 20, 30, 32, 31, 23, 28, 26, 17, 23, 32, 16, 22, 20, 
##     10, 40, 29, 28, 32, 23, 30, 34, 23, 25, 21, 26, 27, 25, 20, 
##     32, 26, 26, 30, 33, 21, 32, 26, 28, 30, 0, -25, -25, -21, 
##     -8, -8, -8, -8, -8, -8, -15, -19, -19, -19, -19, -19, -19, 
##     -19, -22, -3, -12, -16, -10, -21, -15, -13, -18, -18, -18, 
##     -18, -18, -18, -18, -12, -11, -19, -23, -27, -20, -13, -16, 
##     -16, -16, -19, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 1, 
##     2, 2, 2, 6, 8, -4, -2, -2, -4, 0, 0, -15, -20, -11, -3, 2, 
##     5, 6, -5, -2, -6, -2, -4, -9, -3, -1, 7, 3, 11, 7, 3, -3, 
##     -8, -8, 2, 2, -5, -10, -15, -1, -4, 1, -3, 5, 1, -2, -2, 
##     0, -2, 2, 4, 1, 3, 8, 3, 8, 11, 9, 9, 3, 2, -2, -5, -4, -4, 
##     -4, -10, -11, -4, -2, 3, 2, -13, -12, -10, 0, -2, -4, -2, 
##     0, 0, -1, -4, -1, 0, -2, -1, -1, 6, 4, -6, -4, -4, -4, -4, 
##     -4, -4, -4, -4, -4, 1, 3, 5, 9, -8, -4, -5, -4, -4, -4, -4, 
##     -4, -4, -4, -1, -2, 2, 2, 2, 2, 2, 2, 3, -3, -3, 8, 7, 8, 
##     8, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, -4, -3, -4, -4, 0, 
##     -3, -3, -3, 1, 1, -1, -1, -4, -5, -3, -1, 1, -4, -3, -7, 
##     -9, -7, -4, -2, -2, -5, -3, -3, -12, -7, -1, -12, -8, -3, 
##     -1, -13, -9, -3, -3, 2, 5, 3, 1, -1, 0, -3, -5, -2, -4, 0, 
##     -2, 2, -4, -10, -9, -1, -5, -6, 2, -6, -2, -9, -1, -9, -5, 
##     -3, -15, 1, -3, -2, -2, -1, -6, 3, -3, -13, -1, -7, -9, -5, 
##     -2, -1, -6, -8, -4, -5, -8, -7, -9, 1, -2, -6, 2, -6, -7, 
##     -7, -5, -3, -5, -9, -6, -6, -6, 0, -1, -1, -3, -7, -11, -5, 
##     -4, -14, -10, 0, -1, -5, -7, -4, -4, -4, -5, -3, -2, -7, 
##     -3, -1, -1, -2, -1, -2, 3, 3, -11, -15, -9, -3, -5, -2, -5, 
##     -3, -1, 0, 1, -11, -2, -7, -13, 4, 3, 0, -4, -4, -6, 2, -1, 
##     2, 20, -5, -18, -7, 0, -8, -9, -1, -5, -3, -6, -5, -2, 1, 
##     -4, -12, -3, -6, -10, -7, -4, -4, -4, -6, -10, -1, -8, 3, 
##     -9, 4, -17, -7, 2, -10, -5, -1, -8, -8, 0, -2, -2, -1, -5, 
##     -6, -2, 0, -4, -8, -7, -4, -1, -6, -8, -8, -2, -11, -14, 
##     -6, -1, 2, 0, -5, -4, -8, -5, 1, -4, -1, -1, -6, -1, -8, 
##     -1, -2, -6, -5, -6, -2, -5, -8, -6, -5, 0, 0, -4, -11, 3, 
##     -9, 7, 3, -6, -9, -9, -6, -6, -4, -5, -2, -2, 0, -1, -6, 
##     0, -3, -5, -3, -4, -1, -65, -56, -81, -84, -83, -81, -82, 
##     -71, -94, -80, -117, -137, -134, -139, -140, -145, -149, 
##     -129, -126, -125, -125, -130, -150, -132, -134, -150, -151, 
##     -145, -137, -151, -143, -143, -147, -143, -140, -142, -142, 
##     -141, -143, -144, -144, -140, -144, -144, -144, -139, -145, 
##     -144, -144, -151, -140, -145, -145, -145, -146, -148, -143, 
##     -150, -147, -140, -140, -153, -146, -140, -136, -145, -136, 
##     -144, -147, -149, -155, -128, -139, -137, -138, -150, -159, 
##     -127, -147, -149, -153, -149, -146, -145, -153, -140, -137, 
##     -139, -147, -146, -142, -146, -146, -162, -137, -136, -152, 
##     -141, -136, -145, -155, -154, -141, -140, -142, -158, -152, 
##     -146, -142, -142, -145, -151, -139, -145, -138, -157, -159, 
##     -148, -143, -148, -133, -149, -145, -142, -144, -146, -141, 
##     -144, -143, -139, -141, -143, -142, -139, -142, -134, -134, 
##     -125, -147, -138, -141, -148, -136, -122, -144, -168, -113, 
##     -152, -161, -144, -138, -139, -137, -139, -147, -144, -137, 
##     -147, -144, -149, -144, -142, -127, -143, -156, -161, -115, 
##     -125, -134, -150, -141, -167, -128, -137, -139, -135, -135, 
##     -149, -147, -143, -137, -143, -140, -136, -135, -144, -136, 
##     -138, -144, -137, -145, -144, -147, -137, -137, -147, -155, 
##     -154, -146, -144, -147, -151, -153, -146, -139, -139, -137, 
##     -140, -138, -141, -139, -142, -133, -130, -133, -151, -113, 
##     -143, -149, -153, -144, -168, -137, -135, -148, -144, -138, 
##     -145, -126, -124, -142, -147, -161, -147, -127, -130, -139, 
##     -127, -146, -154, -161, -167, -150, -128, -139, -150, -151, 
##     -146, -140, -139, -140, -139, -138, -145, -167, -130, -130, 
##     -138, -137, -133, -146, -134, -155, -130, -154, -136, -132, 
##     -136, -155, -133, -135, -141, -141, -142, -139, -138, -139, 
##     -145, -141, -138, -140, -140, -137, -138, -145, -153, -144, 
##     -152, -138, -145, -148, -142, -141, -140, -144, -143, -143, 
##     -141, -144, -144, -143, -146, -143, -141, -143, -146, -143, 
##     -142, -143, -146, -142, -145, -145, -145, -138, -142, -140, 
##     -140, -130, -136, -131, -104, -91, -110, -108, -108, -108, 
##     -107, -106, -151, -91, -80, -84, -93, -95, -126, -135, -120, 
##     -119, -150, -124, -133, -135, -140, -141, -140, -146, -141, 
##     -141, -141, -143, -140, -141, -144, -143, -142, -141, -140, 
##     -140, -140, -143, -144, -141, -141, -146, -18, -10, 6, 10, 
##     8, 17, 15, 19, 23, 21, 22, 10, -14, -28, -33, -44, 21, 26, 
##     34, 39, 48, 55, 56, 59, 63, 64, 42, 43, 36, 18, 1, -9, -45, 
##     -44, -42, -53, -55, -53, -48, -46, -51, -50, -50, -51, -50, 
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##     -48, -48, -50, -54, -58, -48, -44, -48, -52, -48, -45, -48, 
##     -47, -50, -51, -53, -52, -55, -49, -54, -46, -46, -54, -48, 
##     -51, -44, -57, -54, -52, -47, -56, -38, -53, -52, -53, -45, 
##     -47, -52, -45, -50, -43, -41, -55, -52, -48, -54, -52, -46, 
##     -51, -52, -45, -44, -48, -46, -51, -54, -53, -51, -46, -44, 
##     -50, -46, -45, -47, -44, -53, -44, -50, -43, -43, -48, -49, 
##     -44, -43, -47, -46, -49, -48, -46, -46, -48, -51, -55, -56, 
##     -40, -52, -53, -57, -60, -47, -45, -45, -46, -49, -53, -51, 
##     -50, -46, -49, -48, -50, -46, -53, -48, -50, -49, -47, -52, 
##     -53, -51, -54, -45, -46, -56, -44, -57, -52, -54, -54, -48, 
##     -50, -55, -51, -41, -47, -61, -55, -53, -45, -44, -48, -47, 
##     -58, -46, -49, -43, -48, -45, -53, -50, -47, -50, -52, -50, 
##     -50, -48, -49, -49, -53, -47, -48, -50, -47, -55, -57, -43, 
##     -50, -48, -51, -52, -50, -50, -45, -45, -47, -48, -56, -55, 
##     -46, -46, -47, -49, -49, -54, -41, -46, -52, -52, -48, -46, 
##     -45, -49, -51, -46, -44, -46, -42, -45, -44, -47, -51, -54, 
##     -42, -43, -46, -55, -49, -52, -52, -51, -48, -54, -54, -52, 
##     -51, -50, -46, -45, -49, -52, -51, -44, -52, -45, -51, -49, 
##     -53, -47, -53, -45, -47, -46, -50, -50, -47, -48, -51, -58, 
##     -43, -49, -51, -62, -51, -48, -46, -49, -56, -57, -51, -51, 
##     -49, -50, -46, -49, -48, -45, -47, -51, -48, -47, -57, -41, 
##     -47, -56, -49, -50, -53, -46, -54, -54, -46, -48, -44, -52, 
##     -45, -45, -53, -53, -47, -50, -50, -53, -51, -46, -47, -49, 
##     -49, -49, -46, -56, -46, -53, -39, -59, -50, -45, -58, -43, 
##     -37, -58, -52, -53, -46, -57, -52, -48, -48, -47, -50, -51, 
##     -54, -59, -56, -50, -50, -48, -50, -50, -54, -50, -57, -41, 
##     -45, -51, -52, -51, -51, -46, -53, -48, -63, -44, -42, -52, 
##     -48, -49, -50, -60, -56, -46, -54, -44, -42, -46, -46, -49, 
##     -48, -50, -49, -49, -51, -47, -61, -31, -24, -48, -44, -47, 
##     -44, -49, -47, -56, -50, -52, -48, -44, -45, -50, -37, -35, 
##     -35, -17, 6, -44, -55, -54, -55, -38, -45, -48, -50, -48, 
##     -60, -53, -44, -31, -13, -25, -21, -29, -28, -38, -40, -30, 
##     -32, -33, -26, -32, -33, -32, -30, -30, -32, -28, -31, -31, 
##     -31, -38, -29, -31, -28, -26, -30, -31, -29, -30, -27, -27, 
##     -31, -32, -29, -25, -29, -29, -30, -30, -30, -23, -26, -25, 
##     -24, -27, -28, -30, -25, -24, -28, -26, -29, -29, -30, -22, 
##     -26, -33, -29, -19, -35, -37, -26, -30, -29, -24, -18, -18, 
##     -22, -31, -33, -34, -27, -30, -29, -32, -27, -27, -26, -18, 
##     -21, -24, -23, -31, -29, -28, -30, -29, -23, -26, -29, -32, 
##     -25, -24, -21, -29, -31, -31, -26, -29, -31, -28, -29, -28, 
##     -32, -31, -21, -21, -33, -25, -28, -27, -27, -29, -29, -29, 
##     -27, -29, -27, -29, -26, -31, -31, -33, -26, -35, -28, -34, 
##     -27, -26, -28, -28, -25, -26, -28, -28, -28, -23, -25, -25, 
##     -29, -27, -27, -28, -28, -26, -30, -32, -28, -27, -28, -31, 
##     -32, -27, -29, -33, -27, -29, -36, -38, -31, -37, -34, -31, 
##     -31, -32, -30, -31, -28, -22, -29, -27, -32, -32, -31, -29, 
##     -27, -26, -30, -31, -31, -26, -27, -28, -27, -27, -31, -32, 
##     -30, -29, -32, -30, -27, -29, -27, -30, -30, -29, -33, -34, 
##     -28, -33, -30, -27, -29, -32, -29, -33, -29, -24, -24, -24, 
##     -26, -28, -31, -33, -33, -28, -23, -33, -35, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -25, 
##     -28, -27, -28, -28, -27, -28, -26, -28, -27, -30, -28, -29, 
##     -26, -26, -32, -33, -29, -32, -29, -28, -32, -31, -29, -42, 
##     -26, -27, -36, -38, -28, -31, -32, -31, -30, -34, -34, -24, 
##     -28, -21, -30, -30, -25, -26, -31, -33, -22, -21, -26, -35, 
##     -34, -19, -32, -32, -134, -132, -148, -143, -141, -142, -140, 
##     -144, -145, -140, -142, -141, -142, -139, -131, -137, -167, 
##     -144, -162, -145, -137, -124, -137, -128, -118, -118, -145, 
##     -143, -152, -136, -153, -140, -142, -146, -146, -141, -160, 
##     -144, -146, -143, -144, -155, 0, 16, 13, 1, 1, -1, -1, -5, 
##     -9, -7, -4, 2, 6, 3, 3, 3, 0, 4, 4, 6, 8, 4, -9, -10, -7, 
##     -8, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, 24, 30, 27, 
##     31, 27, 29, 25, 13, 34, 34, 15, 8, 15, 12, 25, 35, 36, 35, 
##     23, 19, 20, 23, 36, 29, 22, 20, 28, 32, 24, 31, 27, 14, 4, 
##     24, 26, 37, 37, 16, 14, 14, 20, 27, 29, 17, 19, 28, 40, 29, 
##     24, 6, 27, 18, 23, 27, 25, 16, 24, 17, 17, 27, 26, 26, 28, 
##     17, 27, 28, 34, 27, 0, 1, -10, -10, -14, -5, -2, -9, -4, 
##     -1, 0, -1, -2, -1, -1, 1, -4, -1, -2, 1, 2, -11, -1, -1, 
##     3, 1, -1, -3, -7, -6, -5, -12, -8, 3, 3, 7, 8, 11, 4, 6, 
##     4, 6, 5, 13, 11, 5, 5, 9, 8, 8, 11, 7, 6, 3, 3, 2, 8, 5, 
##     6, 6, 6, 6, 4, 17, 12, 8, 10, 14, 9, 4, 8, 5, 5, 1, -1, 2, 
##     3, 5, 17, 14, 8, 2, 4, 6, 2, 5, -3, 0, 6, 0, 1, 1, 0, 2, 
##     0, 0, -1, 0, 3, 3, 3, 3, 3, 1, 0, 1, 1, -2, 1, -3, 3, 2, 
##     1, 1, -1, 0, -3, 30, 38, 30, 30, 14, 16, 32, 28, 31, 33, 
##     32, 11, 29, 27, 28, 28, 31, 31, 21, 23, 22, 27, 26, 35, 32, 
##     27, 22, 26, 24, 33, 27, 28, 32, 20, 35, 16, 35, 25, 21, 23, 
##     19, 23, 24, 23, 22, 25, 20, 34, 27, 38, 44, 27, 25, 31, 37, 
##     28, 20, 22, 20, 26, 29, 30, 17, 27, 31, 37, 26, 24, 28, 32, 
##     39, 14, 36, 36, 19, 27, 31, 12, 21, 21, 29, 25, 21, 24, 26, 
##     23, 18, 24, 23, 29, 13, 43, 33, 20, 28, 35, 35, 25, 25, 28, 
##     27, 31, 27, 23, 26, 25, 28, 7, 24, 23, 20, 18, 20, 12, 13, 
##     11, 27, 24, 18, 22, 18, 23, 20, 21, 25, 22, 18, 19, 15, 19, 
##     23, 16, 24, 30, 23, 17, 14, 18, 21, 18, 17, 13, 24, 14, 4, 
##     -6, 1, 7, 7, 13, 2, 7, 24, 24, 17, 0, 5, 19, 23, 17, 17, 
##     26, 22, 15, 15, 21, 22, 11, 12, 10, 17, -1, -1, 11, 9, 9, 
##     11, 9, 21, 18, 16, 15, 14, 13, 21, 17, 14, 16, -2, 3, -6, 
##     9, 9, 4, -3, 6, 5, -3, 9, 11, -2, -2, 0, 7, 13, 13, 16, 14, 
##     18, 22, 14, 11, 15, 11, -4, -7, 4, -1, 8, 11, 10, 8, 15, 
##     12, 19, 9, 6, 12, 12, 13, 12, 20, 20, 17, 22, 24, 18, 17, 
##     16, 14, 13, 25, 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 9, 
##     11, 16, 11, 8, 5, 9, 7, 5, 6, 14, 11, 11, 10, 7, 0, 15, -1, 
##     1, 9, 7, 2, 0, -3, -5, -1, 1, 5, 7, 3, -4, 2, 14, 18, 20, 
##     15, 14, 14, 17, 25, 25, 8, 12, 23, 18, 18, 23, 5, 17, 13, 
##     10, 6, 10, 11, 11, 9, 10, 5, 4, 0, -4, 2, 5, 9, 11, 6, 6, 
##     16, 23, 16, 14, 17, 23, 14, 16, 14, 18, 18, 2, 7, 7, 11, 
##     10, 8, 11, 9, 11, 6, 18, 19, 22, 29, 29, 24, 22, 30, 29, 
##     26, 26, 23, 25, 24, 17, 29, 11, 11, 16, 12, 11, 18, 12, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 1, 1, 1, 1, 1, 1, 0, 2, 4, 
##     1, -4, -4, 6, 2, 0, 2, -17, -22, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -72, 
##     -12, -7, -13, -11, -29, -10, 0, 19, 33, 37, 19, 25, 41, 43, 
##     49, 61, 46, 42, 46, 49, 42, 43, 21, 20, -6, -12, -10, -5, 
##     0, -32, -63, -74, -69, -8, 6, -2, -11, -32, 1, 15, 7, 13, 
##     25, 33, 50, 50, 28, 56, 51, 51, 52, 53, 60, 59, 40, 40, 48, 
##     45, -4, 2, -7, -6, -21, -8, -7, -22, -24, -24, -13, 2, 5, 
##     3, 24, 25, 34, 27, 26, 24, 23, 40, 43, 34, 42, 41, 17, 4, 
##     7, -9, -9, -12, -12, -6, 11, -27, -54, -5, -18, -17, -9, 
##     -5, -2, 6, 0, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 5, 3, 3, 5, 8, 8, 7, 3, 3, 5, 5, 
##     -7, -7, -6, -6, -6, -6, -5, 2, 2, 6, 11, 3, 3, -4, -1, 3, 
##     4, 4, 3, 8, 11, 3, -4, -4, 0, -1, -2, -2, 0, 2, 1, 3, 2, 
##     -8, -4, -5, 8, 15, 5, 5, 4, 4, 4, 2, 1, 4, 2, 4, -1, -3, 
##     12, 5, 5, 1, -4, 0, -2, 2, 0, 1, 2, 2, -2, 2, 1, 0, 0, -2, 
##     2, 5, 13, 9, 6, 5, 6, 0, 0, -3, 9, -1, 4, 7, 2, 2, -2, -5, 
##     -8, -8, -5, 0, 3, 0, -3, 1, 3, 1, 2, -3, -4, 0, 2, 6, 3, 
##     9, 11, 11, 2, -2, -2, 0, 8, 5, 3, 3, 6, 1, 8, 5, -5, 1, 3, 
##     -2, -2, 8, 9, 11, 11, -1, 3, 0, -5, 3, 6, 3, 2, 0, 3, 7, 
##     2, 2, -4, 0, -1, 1, 0, 1, 3, 10, 1, 0, 3, 0, 9, -3, 6, 1, 
##     0, 4, 3, -1, 1, 2, 4, 6, 1, 5, 11, 11, 7, 15, 10, 10, 10, 
##     9, 9, 6, 5, 11, 11, 21, 6, 8, 4, -146, -142, -146, -145, 
##     -141, -146, -146, -152, -149, -149, -133, -142, -141, -135, 
##     -124, -127, -129, -140, -144, -138, -144, -141, -142, -138, 
##     -136, -140, -143, -137, -141, -141, -150, -148, -144, -142, 
##     -138, -132, -130, -163, -154, -135, -138, -139, -138, -141, 
##     -142, -142, -142, -143, -141, -145, -132, -142, -133, -142, 
##     -128, -133, -134, -135, -138, -134, -141, -112, -124, -132, 
##     -131, -122, -100, -137, -133, -141, -138, -152, -155, -118, 
##     -126, -126, -128, -144, -139, -117, -138, -134, -137, -138, 
##     -148, -140, -135, -128, -123, -130, -138, -131, -122, -122, 
##     -124, -136, -140, -126, -127, -135, -131, -143, -136, -138, 
##     -141, -135, -136, -138, -126, -126, -125, -120, -124, -133, 
##     -131, -132, -121, -148, -139, -135, -134, -133, -134, -132, 
##     -139, -111, -127, -123, -123, -125, -141, -133, -132, -143, 
##     -134, -136, -134, -137, -136, -137, -130, -126, -117, -104, 
##     -103, -103, -107, -128, -103, -124, -128, -124, -124, -129, 
##     -126, -138, -127, -137, -124, -138, -141, -133, -140, -133, 
##     -134, -141, -135, -128, -131, -130, -131, -140, -137, -118, 
##     -105, -121, -128, -121, -129, -140, -122, -136, -140, -135, 
##     -143, -131, -133, -136, -139, -127, -140, -133, -107, -121, 
##     -125, -118, -127, -119, -138, -132, -128, -130, -141, -142, 
##     -139, -141, -138, -140, -138, -138, -137, -137, -138, -137, 
##     -138, -135, -140, -136, -138, -136, -137, -143, -141, -139, 
##     -139, -138, -135, -140, -141, -138, -140, -141, -139, -137, 
##     -140, -137, -139, -141, -139, -138, -139, -138, -141, -140, 
##     -58, -50, -42, -48, -47, -49, -49, -49, -49, -48, -49, -48, 
##     -47, -48, -40, -37, -48, -43, -52, -54, -48, -44, -47, -48, 
##     -48, -48, -44, -44, -45, -47, -51, -48, -44, -50, -48, -45, 
##     -47, -55, -46, -45, -47, -49, -47, -42, -43, -46, -52, -54, 
##     -51, -57, -59, -65, -58, -54, -54, -58, -51, -52, -52, -50, 
##     -51, -51, -48, -46, -50, -49, -49, -45, -43, -44, -31, -23, 
##     -26, -32, -44, -43, -46, -39, -40, -39, -44, -40, -39, -42, 
##     -38, -37, -33, -34, -34, -33, -32, -30, -36, -40, -42, -41, 
##     -41, -42, -41, -44, -47, -42, -52, -47, -43, -39, -38, -36, 
##     -38, -37, -36, -35, -39, -41, -40, -38, -43, -50, -42, -48, 
##     -45, -41, -35, -48, -48, -47, -49, -47, -51, -46, -43, -42, 
##     -45, -49, -48, -43, -40, -43, -45, -41, -44, -42, -40, -43, 
##     -44, -47, -39, -43, -45, -41, -46, -51, -46, -46, -45, -59, 
##     -42, -51, -40, -43, -41, -39, -39, -37, -44, -44, -39, -34, 
##     -35, -33, -35, -39, -39, -41, -48, -59, -45, -43, -47, -47, 
##     -49, -47, -46, -50, -51, -47, -48, -44, -38, -47, -42, -43, 
##     -42, -40, -42, -44, -43, -44, -43, -43, -42, -39, -36, -30, 
##     -35, -33, -34, -41, -45, -47, -47, -45, -43, -44, -40, -40, 
##     -43, -43, -39, -44, -42, -42, -41, -52, -51, -43, -48, -45, 
##     -43, -47, -45, -45, -47, -47, -49, -50, -47, -53, -49, -53, 
##     -56, -55, -54, -58, -55, -45, -51, -50, -45, -44, -48, -50, 
##     -55, -65, -69, -47, -45, -45, -50, -50, -46, -52, -49, -51, 
##     -44, -45, -45, -45, -45, -45, -46, -42, -46, -44, -51, -45, 
##     -55, -48, -55, -53, -45, -53, -49, -46, -47, -46, -48, -46, 
##     -50, -46, -47, -50, -48, -51, -49, -52, -53, -50, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -36, -51, 38, -13, -7, 
##     -2, -7, -5, -5, -8, -14, -12, -8, -9, -12, -13, -14, -22, 
##     -26, -3, 3, 2, -8, -9, 8, 1, -2, -3, 2, 2, 2, -1, 0, -2, 
##     -3, -3, -3, 3, 3, 1, 10, 12, 16, 1, 2, 2, 3, 18, 11, 12, 
##     15, 13, 9, 9, 9, 9, 9, 11, 11, 11, 11, 15, 4, 4, 4, 9, 9, 
##     9, 9, 9, 9, 9, 13, 15, 9, 4, 12, 21, 10, 9, 9, 8, 11, 12, 
##     12, 11, 8, 10, 13, 5, 7, 9, 9, 7, 8, 4, 4, 4, 2, 7, 13, 6, 
##     6, 9, 5, 2, 4, 4, 5, 18, 17, 17, 17, 9, 12, 19, 19, 17, 24, 
##     4, 4, 5, 3, -7, 1, -6, -4, -5, -5, -4, 1, 1, 1, 1, 1, 1, 
##     4, 4, 4, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 4, 2, 6, 10, 20, 20, 
##     20, 20, 20, 1, 16, 12, 16, 16, 9, 18, 19, 19, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 4, 8, 8, 2, 4, 7, -2, 
##     3, 6, 8, 4, 1, 2, 5, 6, 6, 7, 2, 12, 1, 1, 4, 4, -3, 1, 6, 
##     2, 2, -3, -7, -7, -9, -16, -11, 1, 2, 3, -6, -11, -11, -11, 
##     -137, -135, -131, -136, -139, -137, -137, -139, -136, -138, 
##     -124, -132, -139, -139, -138, -131, -133, -139, -141, -137, 
##     -136, -127, -133, -135, -119, -114, -136, -136, -138, -136, 
##     -130, -137, -131, -117, -119, -127, -127, -131, -133, -133, 
##     -137, -121, -135, -132, -152, -118, -131, -134, -136, -135, 
##     -140, -132, 38, 56, 65, 70, 61, 58, 57, 57, 52, 4, -10, -14, 
##     -10, -12, -27, -28, -8, -5, -5, -1, 5, 6, 10, 22, 25, 31, 
##     19, 34, 25, 21, 21, 21, 21, 21, 21, 8, 8, 8, 8, 8, 8, -16, 
##     -17, -16, -12, 5, -67, -15, -15, -15, -15, -15, 35, 35, 34, 
##     30, 30, 31, 31, 31, 24, 25, -15, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, 22, 21, 20, 16, 18, 
##     16, 14, 10, 24, 17, 11, 7, 13, 6, 24, 8, 2, 9, 9, 10, 14, 
##     15, 17, 11, 23, 32, 34, 18, 24, 22, 24, 29, 26, 17, 19, 28, 
##     31, 28, 24, 31, 23, 29, 18, 24, 29, 33, 31, 28, 27, 24, 11, 
##     7, 2, 13, 12, 4, 6, 4, 7, 1, 11, -7, -1, -1, 2, 4, 4, -3, 
##     5, 4, 11, 14, 17, 13, 8, 10, 6, 6, 7, 9, 7, 12, 5, 5, 6, 
##     5, 4, 4, 5, 5, 4, 5, 4, 6, 5, 4, 5, 3, 0, -2, 4, 17, -11, 
##     19, 12, 53, 58, -142, -30, -36, -35, -38, -49, -65, -63, 
##     -49, -14, 4, 13, 18, 22, 49, 60, 63, 69, 76, 78, 88, 89, 
##     76, 79, 27, 5, -17, -40, -12, -29, -26, -47, -42, -54, -56, 
##     -64, -54, -47, -46, -37, -43, -42, -36, -37, -42, -62, -50, 
##     -52, -63, -62, -55, -13, 5, 61, 67, 67, 84, 86, 74, 63, 55, 
##     43, -28, -37, -39, -36, -40, -37, -55, -62, -54, -64, -71, 
##     -69, -61, -53, -49, -51, -51, -42, -33, -42, -35, -31, -32, 
##     -65, -65, -26, -34, -32, -44, -48, -59, -15, -10, 1, 10, 
##     -35, -8, -15, -22, -33, 2, 1, 1, 0, -1, -3, 2, 8, 7, 2, 3, 
##     32, 73, 86, 113, 141, 213, 199, 182, 147, 137, 99, 67, 61, 
##     44, 14, 4, -9, 2, 0, 5, -4, -1, -8, -7, -3, 0, 0, -1, -9, 
##     -6, 1, 9, 6, 16, 13, 5, 35, 44, 50, 96, 111, 138, 162, 193, 
##     215, 100, 81, 40, 26, 19, 10, 2, -1, 0, 15, 4, 7, 6, 10, 
##     0, 3, 4, 0, -6, -4, -2, 2, 30, 51, 55, 71, 103, 130, 187, 
##     187, 197, 182, 172, 109, 92, 65, 54, 33, 35, 29, 11, 13, 
##     28, 187, 103, 76, 26, 9, 13, 9, 0, -23, -24, -7, 7, 7, 35, 
##     41, 62, 69, 105, 110, 117, 130, 136, 148, 166, 164, 101, 
##     66, 53, 16, 26, -12, 2, 7, 3, 0, 0, -6, 1, 0, 0, 0, 0, -1, 
##     -2, -3, -5, 24, 39, 17, 4, 5, -6, -4, 1, 3, -4, -5, -1, 0, 
##     0, 0, 2, 0, 13, 20, 21, 35, 38, 57, 73, 48, 42, 36, 14, 13, 
##     2, 0, -19, -3, -5, 2, 10, 22, 26, 32, 39, 23, 26, 26, 60, 
##     68, 64, 41, 39, 40, 30, 31, 32, 17, 20, 22, 24, 20, 5, -4, 
##     0, 4, -7, 1, -3, -6, -6, -1, 17, 20, 25, 22, 32, 32, 34, 
##     41, 52, 53, 79, 83, 83, 70, 63, 60, 48, 55, 49, 43, 44, 34, 
##     37, 34, 11, 15, 3, 1, 4, 3, -6, -8, -8, 2, 1, -2, -2, 0, 
##     0, 1, 1, 0, 1, -2, 0, 0, -2, -1, -6, -7, -5, -2, -3, -8, 
##     -4, 0, 7, 7, 7, 9, 11, 10, 10, 4, 5, 2, 2, 0, 1, 14, 15, 
##     14, 17, 17, 14, 15, 9, 5, -2, 5, 3, 4, 11, 0, 35, 20, 16, 
##     18, 18, 15, 18, 19, 19, 21, 15, 12, 15, 18, 19, 5, -1, 7, 
##     7, 9, 5, 8, 4, 15, 10, 36, 34, 19, 12, 11, 19, 17, 14, 22, 
##     23, 17, 13, 14, 19, 16, 17, 19, 20, -7, 4, 8, 8, 11, 5, 5, 
##     -1, 1, 18, 12, 31, 34, 32, 18, 16, 5, 31, 29, 45, 44, 42, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 0, -12, -12, -12, -12, 
##     -21, -21, -21, -20, -24, -24, -28, -42, -49, -48, -50, -57, 
##     -52, -51, -46, -43, -40, -36, -30, -11, -8, -17, -19, -10, 
##     -15, -2, -3, 1, 16, 15, 15, 18, 14, 16, 6, 2, 1, 0, -1, -1, 
##     -3, -6, -3, -5, -12, -24, -20, -25, -37, -32, -33, -51, -49, 
##     -50, -51, -48, -49, -47, -46, -60, -21, -30, -14, -13, -1, 
##     -3, 4, 2, 3, 6, 9, 13, 22, 26, 19, 14, 13, 13, 9, -2, -7, 
##     -8, -6, -12, -20, -22, -43, -48, -64, -68, -58, -59, -66, 
##     -52, -49, -28, -28, -20, -30, -9, -17, -19, -2, 2, 5, 6, 
##     -6, -1, 4, 7, 16, 15, 6, -5, -32, -46, -45, -42, -34, -31, 
##     -51, -56, -54, -56, -63, -60, -53, -29, -26, -3, -6, 4, -7, 
##     -5, 10, 13, 17, 1, 5, 4, 5, 11, 11, 7, -7, -17, -4, -17, 
##     -37, -35, -32, -26, -52, -41, -75, -77, -83, -64, -61, -60, 
##     -60, -64, -24, -28, -13, -5, -11, -17, -26, -20, -3, -11, 
##     2, 15, 14, 12, 11, 10, 5, 0, -4, -3, -3, -13, -9, -5, -10, 
##     -13, -8, -16, -22, -13, -37, -49, -22, -42, -51, -59, -56, 
##     -53, -53, -6, -2, -2, 3, 5, -1, 6, 11, 13, 9, 12, 14, 10, 
##     5, 5, 6, 8, -4, 1, 3, -6, -35, -43, -33, -41, -43, -49, -56, 
##     -59, -55, -55, -52, -52, -54, -52, -53, -48, -48, -42, -18, 
##     -15, -10, -15, -14, 3, -7, -3, -3, 14, 19, 20, 11, 5, 1, 
##     12, 9, 1, -4, -4, 2, -5, -4, -11, -13, -17, -33, -46, -35, 
##     -64, -72, -52, -49, -39, -33, -28, -29, -37, -29, -19, -7, 
##     -8, -17, 8, 12, 16, 7, 10, 22, 22, 14, 10, 7, 8, 11, 11, 
##     8, 3, 7, 4, 3, 2, -3, -4, -2, -6, -21, -37, -63, -69, -64, 
##     -53, -37, -52, -39, -41, -42, -42, -41, -35, -41, -28, -29, 
##     -33, -48, -50, -50, -46, -48, -50, -27, -46, -27, -22, -43, 
##     -51, -53, -42, -48, -44, -39, -40, -47, -43, -41, -39, -37, 
##     -37, 4, 6, 6, 5, 5, -4, 2, 3, 9, 11, 10, 17, 19, 13, 13, 
##     1, 12, 74, 74, 62, 46, 45, 42, 33, 37, 30, 29, 25, 11, 14, 
##     15, 21, 22, 23, 36, 50, 67, 79, 81, 59, 56, 43, 40, 31, 19, 
##     16, 12, 13, 17, 45, 22, 24, 13, 9, 26, 48, 55, 57, 66, 88, 
##     87, 76, 71, 66, 64, 55, 53, 51, 45, 40, 35, 34, 25, 26, 26, 
##     21, 11, 19, 22, 29, 26, 64, 65, 73, 79, 84, 85, 91, 84, 74, 
##     55, 42, 34, 37, 31, 34, 31, 26, 6, 9, 15, 27, 24, 39, 52, 
##     55, 61, 62, 56, 62, 68, 88, 79, 75, 62, 61, 53, 46, 37, 30, 
##     17, 14, 11, 21, 23, 22, 26, 36, 38, 36, 63, 70, 76, 78, 90, 
##     90, 78, 71, 67, 64, 56, 58, 64, 61, 58, 44, 41, 34, 23, 19, 
##     19, 29, 35, 26, 25, 32, 36, 37, 49, 86, 92, 43, 48, 49, 46, 
##     53, 58, 73, 77, 85, 86, 81, 88, 92, 83, 58, 63, 52, 49, 46, 
##     42, 45, 42, 35, 34, 24, 12, 23, 33, 28, 25, 37, 37, 43, 47, 
##     61, 68, 72, 82, 90, 87, 85, 74, 73, 66, 73, 78, 64, 50, 42, 
##     45, 41, 44, 29, 22, 20, 20, 17, 17, 7, 7, 5, 4, 8, 8, 8, 
##     15, 15, 15, 15, 15, 15, 6, 14, 9, 8, 8, 10, 10, 5, 7, 7, 
##     7, 5, 5, 4, 5, 5, 5, 6, 4, 5, 6, 4, 4, 4, -141, -140, -141, 
##     -140, -144, -140, -142, -140, -140, -140, -138, -137, -134, 
##     -142, -141, -140, -139, -140, -142, -140, -151, -140, -139, 
##     -136, -147, -144, -138, -144, -142, -142, -141, -142, -145, 
##     -143, -143, -143, -140, -142, -142, -144, -143, -142, -142, 
##     -142, -142, -143, -144, -142, -142, -141, -140, -142, -141, 
##     -141, -144, -143, -143, -140, -140, -141, -153, -137, -151, 
##     -141, -143, -139, -145, -148, -145, -139, -140, -144, -143, 
##     -144, -148, -143, -141, -140, -137, -137, -157, -146, -118, 
##     -111, -126, -142, -131, -134, -142, -142, -134, -109, -92, 
##     -87, -101, -132, -151, -152, -132, -112, -126, -100, -123, 
##     -196, -167, -110, -153, -153, -134, -118, -123, -105, -153, 
##     -110, -120, -144, -127, -121, -89, -135, -155, -181, -159, 
##     -126, -109, -153, -142, -130, -126, -101, -113, -149, -144, 
##     -81, -81, -135, -149, -119, -126, -137, -127, -132, -139, 
##     -95, -112, -142, -222, -225, -161, -142, -122, -106, -98, 
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##     -110, -85, -138, -133, -142, -175, -173, -163, -131, -151, 
##     -133, -113, -105, -105, -131, -133, -126, -140, -100, -148, 
##     -131, -124, -139, -145, -154, -151, -140, -131, -99, -91, 
##     -115, -111, -95, -156, -181, -137, -106, -156, -132, -128, 
##     -123, -95, -97, -115, -125, -135, -104, -121, -133, -140, 
##     -122, -137, -134, -106, -99, -84, -103, -124, -134, -112, 
##     -88, -129, -100, -151, -133, -101, -95, -140, -182, -162, 
##     -143, -128, -145, -136, -138, -128, -127, -109, -108, -114, 
##     -112, -106, -90, -104, -45, -46, -51, -51, -44, -44, -44, 
##     -52, -45, -42, -44, -45, -44, -43, -46, -41, -35, -36, -38, 
##     -32, -33, -34, -34, -36, -40, -42, -41, -41, -40, -46, -43, 
##     -45, -44, -46, -43, -43, -47, -49, -45, -51, -47, -44, -46, 
##     -46, -48, -48, -49, -61, -36, -35, -44, -45, -42, -47, -44, 
##     -39, -36, -35, -35, -32, -30, -33, -34, -37, -41, -45, -46, 
##     -39, -35, -40, -40, -46, -54, -47, -48, -48, -51, -55, -57, 
##     -46, -51, -45, -41, -46, -46, -44, -45, -44, -24, -23, -37, 
##     -41, -44, -35, -37, -38, -42, -44, -40, -47, -48, -46, -43, 
##     -44, -45, -46, -49, -47, -44, -46, -46, -47, -51, -51, -49, 
##     -43, -45, -44, -44, -47, -37, -39, -37, -37, -34, -32, -25, 
##     -24, -17, -12, -14, -14, -14, -21, -25, -22, -30, -31, -33, 
##     -36, -45, -39, -33, -38, -46, -55, -52, -45, -61, -62, -59, 
##     -54, -54, -48, -45, -38, -44, -53, -59, -51, -49, -50, -44, 
##     -32, -37, -38, -46, -66, -66, -61, -58, -58, -49, -51, -53, 
##     -54, -57, -49, -47, -46, -51, -46, -53, -60, -50, -47, -56, 
##     -65, -47, -40, -34, -28, -5, -3, 32, 62, 69, 71, -24, -34, 
##     -42, -38, -51, -56, -62, -59, -64, -70, -61, -45, -39, -36, 
##     -28, -47, -48, -47, -31, -37, -43, -59, -58, -45, -48, -26, 
##     -14, 46, 74, 74, 81, 80, 81, 87, 92, 95, 94, 99, 95, 94, 
##     98, 48, 16, 10, -28, -28, -32, -44, -46, -39, -68, -57, -46, 
##     -52, -71, -33, -34, -52, -46, -44, -40, -30, -61, 50, 53, 
##     54, 55, 30, -41, -39, -53, -49, -54, -47, -34, -36, -36, 
##     -12, 16, 48, 50, 56, 133, 126, 129, 127, 131, 124, 114, 104, 
##     50, 18, 7, 0, 2, -16, -21, -29, -49, -49, -57, -54, -50, 
##     -57, -55, -50, -54, -54, -54, -52, -58, -103, -114, -68, 
##     -87, -56, -42, -41, 26, 29, 4, 55, 16, 28, 7, 16, 18, -29, 
##     7, 48, 46, -6, 16, 17, 22, 22, 12, 11, 11, 8, 2, 1, -35, 
##     -37, -26, -24, -27, -40, -26, -34, -44, -54, -33, -19, 9, 
##     18, 16, 20, 17, 21, 39, 32, 44, 19, 20, 21, 21, 24, 7, 10, 
##     3, -36, -27, -23, -27, -30, -50, -30, -43, -39, -35, -51, 
##     -51, -60, -27, -29, 19, -69, -73, -72, -49, -47, -51, -59, 
##     -86, -76, -27, -7, 50, 57, 8, -7, 3, -24, -51, -3, -22, -25, 
##     -15, -18, -37, -45, -50, -57, -57, -38, -26, -29, 8, 7, 18, 
##     20, -13, -4, 13, 15, 7, 15, 16, 35, 15, 11, 14, -11, 22, 
##     19, 4, -2, -31, -21, -14, -27, -27, -20, -19, -26, -9, -21, 
##     -18, -26, -57, -60, -23, 20, 7, 1, 38, 82, 53, -13, -151, 
##     -88, -182, -132, -130, -135, -140, -137, -146, -168, -134, 
##     -139, -141, -143, -145, -140, -148, -142, -139, -143, -144, 
##     -143, -141, -142, -141, -143, -142, -141, -141, -69, -85, 
##     -83, -63, -58, -37, -44, -54, -43, -44, -48, -47, -33, -13, 
##     14, 6, -7, -144, -175, -166, -158, -110, -127, -139, -153, 
##     -143, -136, -133, -111, -119, -127, -130, -126, -101, -120, 
##     -120, -131, -133, -136, -135, -82, -140, -109, -132, -139, 
##     -148, -150, -147, -138, -139, -114, -91, -144, -77, -88, 
##     -148, -135, -139, -138, -154, -160, -123, -143, -151, -125, 
##     -101, -98, -142, -143, -140, -138, -142, -144, -148, -143, 
##     -142, -144, -143, -142, -143, -142, 8, 4, 5, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 5, 5, 77, 87, 64, 57, 34, 34, 36, 33, 30, 
##     30, 38, 31, 27, 28, 32, 35, 36, 26, 30, 51, 53, 57, 63, 64, 
##     85, 92, 86, 71, 51, -3, -11, -23, -17, -22, -25, -17, -41, 
##     -40, -56, -35, -15, -25, -26, -6, 7, 33, 44, 24, 12, 42, 
##     13, 12, 2, 14, 20, 19, 14, 13, 14, 9, 6, -21, 18, 33, 35, 
##     4, 13, 16, 12, 5, 13, -12, -18, -47, -43, -52, -43, -43, 
##     -30, -28, -21, -32, -41, -45, -48, -35, -70, -26, -11, -17, 
##     16, 27, 11, 19, 9, 6, 38, 20, 14, -16, -11, -19, -19, -5, 
##     -2, -2, -1, 0, 4, 6, 15, 27, 32, 34, 48, 41, 59, 52, 55, 
##     52, 40, 37, 42, 50, 14, 3, 5, -10, -2, 1, 3, -3, -8, 32, 
##     68, 83, 88, 92, 90, 97, 100, 97, 89, 78, 58, 27, 3, 3, 15, 
##     19, 14, -9, 4, -1, 3, -8, -4, -1, 1, 1, -1, 7, 6, -8, -20, 
##     -12, -7, 53, 84, 88, 78, 73, 64, 11, -63, -58, -49, -52, 
##     -53, -45, -42, -42, -41, -40, -36), accel_dumbbell_y = c(46, 
##     48, 48, 48, 47, 47, 48, 47, 47, 47, 46, 48, 48, 47, 46, 46, 
##     47, 47, 48, 48, 48, 48, 47, 46, 47, 48, 45, 47, 48, 49, 49, 
##     51, 49, 48, 49, 47, 48, 48, 47, 48, 47, 46, 48, 46, 44, 46, 
##     48, 48, 46, 46, 46, 47, 46, 46, 46, 46, 46, 45, 46, 45, 44, 
##     46, 44, 45, 45, 45, 45, 46, 47, 45, 44, 47, 47, 47, 47, 47, 
##     44, 45, 47, 46, 47, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 16, 17, 23, 35, 33, 44, 51, -23, -39, -36, -28, 
##     -30, -30, -26, 1, -23, -44, -37, -41, -38, -54, -45, -37, 
##     -32, -34, -35, -29, -33, -50, -43, -35, -38, -32, -28, -28, 
##     -30, -32, -32, -35, -27, -32, -41, -23, -30, -30, -29, -23, 
##     -34, -31, -30, -26, -28, -29, -31, -29, -28, -29, -26, -16, 
##     -27, -37, -30, -34, -26, -21, -31, -28, -30, -30, -29, -28, 
##     -32, -33, -33, -29, -25, -28, -28, -30, -29, -28, -26, -22, 
##     -26, -29, -32, -28, -32, -21, -26, -20, -24, -22, -26, -24, 
##     -12, -3, -9, -9, -2, -7, -13, -9, -13, 3, -26, -33, -27, 
##     -25, -17, -19, -13, -1, -18, -41, -31, -31, -44, 10, 35, 
##     -25, -11, -11, -18, -14, -17, -10, -26, -26, -21, -25, -23, 
##     -34, -32, -20, -8, -36, -35, -17, -1, -36, 8, 5, -12, 8, 
##     3, -17, -8, -20, -19, -14, -14, -7, -21, -14, -15, -8, 3, 
##     2, 5, -19, -15, -26, -27, -7, -1, -9, -12, 0, -17, -3, -11, 
##     -7, -11, -3, -13, 16, 8, -23, -27, -2, -3, -4, -10, -16, 
##     -18, -27, -4, -11, -6, -4, 0, -9, -11, 2, 0, 7, 6, 1, -3, 
##     -19, -25, -23, -19, -15, -10, -29, -14, -13, -11, -15, -11, 
##     1, -2, -7, -4, -2, 2, 2, -9, 8, 14, 9, -5, -26, -23, -19, 
##     -4, -1, 21, 13, -2, -21, -18, 1, 5, -5, 3, 0, 0, 2, 10, 3, 
##     -2, -9, -4, -7, -3, -10, -1, -18, -20, -16, -6, -14, 4, 8, 
##     3, 0, -6, -12, -7, -6, -8, -22, 7, 9, -10, 0, 2, 9, 1, 6, 
##     2, 4, 11, 10, 10, 12, -17, -10, 2, -2, 4, -8, -2, -10, 9, 
##     2, -14, 5, -13, -15, 2, 3, 11, 3, 1, -7, 1, 8, 15, -17, -10, 
##     -4, 4, 17, 16, -14, -13, 5, 39, 18, 5, -19, 18, -23, -19, 
##     3, 15, -9, -15, 7, 81, 84, 82, 81, 85, 85, 86, 83, 82, 84, 
##     87, 86, 82, 84, 87, 88, 88, 83, 83, 86, 81, 82, 85, 87, 87, 
##     89, 84, 85, 86, 89, 90, 71, 73, 84, 84, 81, 92, 76, 75, 75, 
##     77, 80, 78, 81, 88, 81, 87, 87, 84, 82, 79, 79, 85, 89, 95, 
##     92, 77, 78, 77, 73, 75, 73, 72, 71, 72, 75, 71, 71, 71, 82, 
##     76, 65, 66, 74, 79, 76, 71, 73, 75, 74, 73, 75, 74, 72, 70, 
##     69, 70, 71, 72, 70, 68, 70, 72, 69, 72, 68, 70, 65, 67, 69, 
##     68, 65, 67, 66, 67, 64, 65, 63, 64, 70, 58, 64, 65, 63, 60, 
##     63, 67, 61, 63, 73, 62, 67, 66, 64, 71, 57, 60, 72, 64, 66, 
##     64, 65, 62, 55, 7, 1, 4, 9, -2, 1, 3, 3, -11, -16, 11, -4, 
##     -1, 62, 62, 51, 58, 58, 58, 62, 61, 65, 49, 54, 61, 59, 52, 
##     53, 53, 58, 62, 63, 59, 64, 63, 61, 79, 81, 82, 84, 85, 87, 
##     85, 80, 84, 85, 83, 77, 73, 69, 67, 69, 71, 64, 65, 65, 64, 
##     64, 65, 63, 66, 63, 65, 69, 59, 66, 74, 89, 63, 67, 68, 67, 
##     63, 77, 90, 66, 65, 67, 68, 65, 67, 74, 68, 72, 71, 73, 77, 
##     76, 75, 72, 65, 65, 67, 57, 72, 71, 65, 65, 64, 68, 71, 75, 
##     68, 73, 75, 75, 74, 86, 86, 83, 70, 82, 88, 88, 84, 77, 81, 
##     77, 76, 77, 76, 77, 75, 75, 68, 68, 71, 66, 67, 67, 55, 61, 
##     65, 78, 101, 102, 98, 97, 88, 76, 95, 95, 66, 77, 106, 93, 
##     89, 85, 91, 86, 86, 82, 84, 84, 62, 65, 72, 85, 104, 105, 
##     95, 98, 94, 105, 109, 120, 121, 116, 118, 121, 120, 88, 78, 
##     92, 90, 92, 95, 85, 87, 88, 81, 100, 95, 98, 99, 94, 79, 
##     85, 95, 89, 95, 88, 83, 71, 97, 89, 91, 89, 96, 94, 94, 93, 
##     100, 97, 98, 96, 93, 91, 94, 100, 112, 111, 114, 109, 114, 
##     114, 114, 85, 45, 84, 75, 83, 91, 73, 72, 96, 88, 80, 90, 
##     91, 78, 88, 82, 84, 87, 77, 65, 94, 93, 96, 91, 103, 100, 
##     106, 108, 111, 99, 98, 91, 97, 96, 89, 101, 76, 81, 97, 90, 
##     90, 88, 100, 100, 90, 79, 98, 80, 85, 87, 80, 75, 83, 77, 
##     82, 88, 87, 91, 90, 89, 96, 102, 106, 84, 88, 94, 92, 92, 
##     90, 99, 99, 95, 107, 102, 99, 105, 105, 97, 97, 92, 88, 102, 
##     88, 77, 80, 61, 88, 70, 62, 58, 63, 62, 73, 76, 81, 82, 81, 
##     80, 84, 87, 75, 76, 93, 96, 100, 87, 96, 100, 109, 113, 108, 
##     103, 111, 114, 112, 118, 101, 80, 72, 79, 87, 80, 84, 62, 
##     83, 90, 96, 97, 92, 96, 101, 96, 97, 108, 103, 101, 100, 
##     106, 107, 111, 118, 109, 117, 109, 110, 108, 109, 102, 97, 
##     99, 92, 97, 100, 95, 99, 88, 96, 95, 90, 88, 72, 87, 89, 
##     90, 90, 84, 81, 87, 84, 96, 104, 76, 75, 70, 69, 73, 79, 
##     121, 117, 108, 109, 109, 105, 108, 104, 112, 114, 104, 96, 
##     100, 106, 94, 98, 97, 90, 97, 92, 99, 93, 83, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 16, 27, 31, 24, 34, 32, 48, 35, 32, 22, 18, 
##     24, 16, -3, 0, -5, -12, -10, -18, -8, -13, -29, -22, -33, 
##     -33, -27, -26, -22, -20, -23, -29, -28, -16, -15, -19, -21, 
##     -35, -16, -16, -14, -14, 3, 2, 7, 13, 23, 25, 25, 42, 49, 
##     49, 54, 60, 70, 45, 44, 49, 44, 31, 26, 20, 3, 13, 12, 3, 
##     -13, -17, -1, 4, -9, -6, -15, -20, -26, -27, -11, -8, -9, 
##     -13, -5, -13, -21, -21, -17, -13, -13, -16, -16, -6, -9, 
##     -2, 3, 6, 2, 11, 17, 45, -17, -18, -20, -18, -6, -13, -3, 
##     -8, -8, -12, -19, -18, -20, -23, -20, -14, 2, -1, 0, 6, 15, 
##     21, 44, 49, 46, 50, 62, 56, 39, 52, 40, 32, 26, 19, 15, -11, 
##     -12, -12, -14, -9, -8, -11, -15, -35, -27, -9, -16, -13, 
##     -15, -12, 4, 5, 31, 32, 36, 45, 44, 59, 44, 48, 32, 21, 25, 
##     15, -2, 18, 6, 41, 41, 25, 45, 45, 39, 27, 6, 13, -8, -4, 
##     -9, -15, -14, -16, -23, -17, -24, -32, -30, -15, -14, -16, 
##     -12, 10, 8, 3, 4, 7, 13, 15, 31, 35, 50, 32, 44, 50, 23, 
##     20, 20, 15, 14, 6, 8, 16, -2, 0, -6, -1, -4, -8, -18, -17, 
##     -14, -9, -27, -30, -18, -15, -27, -27, -23, -18, -23, -26, 
##     -32, -16, -20, 0, 1, 10, 18, 32, 37, 23, 35, 38, 50, 50, 
##     33, 36, 28, -28, -32, -29, -28, -25, -21, -26, -23, -28, 
##     -23, -27, -29, -27, -24, -26, -34, -35, -35, -29, -34, -29, 
##     -30, -28, -29, -28, -30, -28, -29, -27, -29, -28, -28, -30, 
##     -31, -27, -24, -29, -29, -26, -31, -30, -23, -21, -30, -31, 
##     -34, -33, -43, -34, -37, -42, -44, -37, -34, -3, 7, 20, 51, 
##     51, 61, 68, 72, 83, 84, 84, 78, 69, 75, 48, 39, 20, 21, 17, 
##     -25, -19, -2, -2, -52, -54, -18, -24, -18, -25, -33, -23, 
##     -23, -27, -21, -2, 8, 131, 135, 136, 135, 133, 137, 136, 
##     132, 132, 134, 136, 136, 135, 135, 138, 136, 137, 137, 138, 
##     139, 136, 135, 134, 136, 137, 135, 141, 136, 133, 133, 135, 
##     132, 135, 134, 135, 136, 135, 132, 134, 132, 134, 135, 134, 
##     136, 133, 133, 132, 133, 134, 134, 134, 138, 130, 130, 130, 
##     130, 135, 136, 132, 133, 134, 129, 131, 136, 137, 135, 131, 
##     130, 135, 133, 133, 133, 136, 132, 135, 137, 134, 134, 135, 
##     134, 136, 135, 133, 135, 133, 133, 134, 137, 134, 134, 135, 
##     133, 134, 138, 138, 133, 134, 134, 131, 136, 139, 139, 136, 
##     138, 132, 131, 134, 139, 133, 137, 135, 133, 130, 134, 132, 
##     130, 134, 137, 139, 133, 131, 140, 136, 137, 134, 135, 136, 
##     134, 135, 137, 139, 140, 137, 157, 134, 149, 162, 147, 156, 
##     157, 161, 160, 155, 188, 181, 161, 151, 152, 155, 158, 168, 
##     158, 158, 156, 151, 153, 154, 159, 153, 152, 154, 160, 154, 
##     158, 162, 159, 154, 153, 154, 150, 151, 152, 150, 149, 149, 
##     151, 169, 138, 137, 165, 151, 142, 150, 156, 151, 152, 154, 
##     155, 155, 152, 158, 157, 151, 153, 154, 156, 151, 157, 151, 
##     152, 157, 156, 152, 156, 152, 153, 167, 155, 157, 160, 155, 
##     146, 58, 65, 62, 63, 57, 57, 48, 47, 45, 49, 41, 27, 24, 
##     27, 33, 22, 36, 23, 26, 22, 33, 36, 37, 39, 38, 41, 31, 23, 
##     20, 22, 11, 18, 22, 0, -13, 19, 13, 3, 9, 14, 16, 16, 16, 
##     16, 20, 20, 33, 38, 31, 43, 40, 38, 45, 45, 44, 35, 24, 24, 
##     19, 33, 29, 18, 34, 30, 24, 33, 20, 21, 22, 36, 59, 49, 2, 
##     25, 29, 26, 10, 5, 22, 22, 22, 29, 14, 5, 22, 17, 12, 40, 
##     33, 21, 34, 29, 19, 19, 22, 26, 29, 25, 9, 32, 30, 20, -14, 
##     23, 0, 21, 12, 17, 17, 16, 25, 23, 25, 27, 27, 24, 12, 7, 
##     3, 19, 18, 15, 46, 43, 34, 31, 31, 30, 28, 20, 29, 25, 22, 
##     20, 15, 19, 23, 10, 11, 18, 2, 3, 21, -16, -37, 6, 7, 9, 
##     22, 23, 24, 18, 7, 19, 9, -3, -2, -1, 10, 14, 19, 13, 10, 
##     33, 20, 21, 7, 20, 12, 3, 2, 18, 37, 47, 14, -3, -23, 16, 
##     14, -6, -1, 22, -7, 5, 6, 8, 3, 7, 5, 14, 8, 9, 6, 16, 19, 
##     -6, 7, 26, 20, 13, 22, 12, -3, 13, 8, 20, 21, 4, 27, 17, 
##     7, 24, -3, 12, 10, 36, 33, 10, 5, 7, 10, 13, 10, 15, 18, 
##     2, 10, 7, 15, 25, 5, 11, 10, 9, 10, 26, 8, 13, 16, 23, 22, 
##     4, -5, 5, 3, 13, 17, -13, -8, -17, 0, 3, 4, -10, -9, -23, 
##     8, -8, 8, 19, -9, 7, 13, 15, 6, -4, 1, -5, 9, 15, 15, 24, 
##     28, 18, 0, 40, 37, 32, 18, 18, 17, 18, 21, 9, 33, 3, 19, 
##     16, 10, 22, 11, -1, -12, 24, 18, 19, 18, 4, 3, -6, 17, 13, 
##     14, 11, 14, 15, 8, -2, 0, 7, 12, 7, 20, 28, 35, 28, 28, 27, 
##     18, 21, 15, 44, 2, 6, -1, -4, -9, 11, 18, 16, 4, 6, 0, 2, 
##     -3, 1, 1, 10, 6, 6, 10, 4, 4, 5, 8, 6, 3, 6, 2, 8, 4, 1, 
##     7, 4, 5, 4, 3, 6, 7, 6, 3, 6, 5, 4, 4, 4, 4, 0, 4, 1, 5, 
##     3, 1, 2, 8, 144, 159, 144, 154, 161, 167, 155, 146, 154, 
##     141, 154, 166, 138, 143, 149, 162, 169, 140, 136, 139, 151, 
##     154, 161, 150, 150, 153, 158, 157, 153, 154, 154, 153, 152, 
##     154, 154, 155, 153, 153, 155, 157, 155, 154, 153, 155, 155, 
##     155, 157, 153, 156, 155, 148, 161, 152, 141, 140, 143, 161, 
##     154, 154, 151, 152, 154, 155, 153, 156, 156, 151, 152, 155, 
##     153, 153, 155, 153, 154, 152, 153, 152, 154, 155, 154, 154, 
##     152, 152, 154, 154, 152, 164, 157, 140, 154, 151, 151, 154, 
##     149, 150, 155, 163, 163, 153, 153, 156, 158, 153, 151, 160, 
##     153, 153, 151, 149, 140, 139, 158, 163, 156, 151, 147, 157, 
##     148, 162, 140, 143, 154, 148, 151, 154, 153, 141, 153, 165, 
##     159, 146, 154, 153, 156, 150, 152, 159, 156, 150, 137, 127, 
##     169, 151, 152, 160, 157, 153, 152, 154, 155, 153, 152, 157, 
##     155, 154, 155, 152, 155, 144, 148, 147, 143, 151, 146, 150, 
##     148, 151, 153, 157, 154, 151, 150, 147, 150, 153, 148, 152, 
##     150, 150, 155, 141, 149, 149, 152, 145, 136, 136, 144, 156, 
##     149, 139, 108, 166, 205, 200, 195, 173, 160, 168, 175, 174, 
##     180, 186, 177, 197, 182, 194, 207, 195, 191, 191, 187, 211, 
##     186, 189, 158, 194, 169, 149, 156, 142, 140, 183, 201, 132, 
##     127, 150, 170, 138, 151, 162, 162, 156, 186, 177, 190, 180, 
##     189, 197, 186, 187, 181, 193, 206, 210, 179, 185, 208, 216, 
##     216, 196, 190, 157, 199, 181, 143, 205, 216, 142, 175, 157, 
##     154, 150, 158, 167, 169, 184, 189, 189, 189, 183, 192, 201, 
##     210, 204, 212, 212, 196, 215, 205, 202, 192, 179, 137, 132, 
##     201, 179, 159, 197, 142, 131, 161, 188, 199, 201, 188, 190, 
##     181, 184, 187, 204, 206, 214, 208, 201, 203, 208, 224, 197, 
##     221, 220, 188, 210, 179, 167, 160, 176, 152, 156, 149, 175, 
##     164, 167, 172, 200, 189, 191, 188, 202, 194, 181, 196, 136, 
##     148, 174, 151, 147, 172, 169, 160, 147, 142, 170, 173, 153, 
##     185, 179, 183, 171, 173, 167, 193, 204, 201, 178, 179, 199, 
##     190, 175, 184, 198, 164, 151, 171, 176, 157, 132, 114, 130, 
##     141, 148, 160, 179, 172, 155, 149, 182, 164, 165, 174, 175, 
##     172, 165, 183, 180, 179, 155, 172, 154, 176, 155, 160, 148, 
##     135, 115, 105, 148, 138, 142, 139, 151, 140, 139, 142, 149, 
##     145, 136, 158, 166, 163, 163, 163, 157, 156, 180, 195, 197, 
##     180, 174, 173, 180, 183, 177, 172, 165, 166, 136, 153, 161, 
##     152, 150, 159, 164, 121, 110, 185, 183, 129, 137, 160, 166, 
##     182, 173, 189, 177, 166, 170, 170, 188, 187, 184, 191, 188, 
##     177, 180, 182, 149, 189, 116, 186, 161, 135, 139, 146, 177, 
##     172, 190, 52, 52, 52, 54, 56, 49, 49, 48, 49, 53, 52, 52, 
##     50, 49, 51, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 97, 95, 
##     91, 98, 88, 106, 114, 105, 118, 111, 113, 113, 87, 88, 88, 
##     84, 70, 80, 71, 83, 79, 85, 87, 96, 91, 93, 95, 91, 110, 
##     97, 86, 94, 93, 81, 79, 85, 88, 106, 109, 112, 107, 92, 90, 
##     89, 98, 86, 99, 97, 81, 121, 108, 106, 111, 103, 111, 99, 
##     104, 98, 84, 87, 79, 115, 95, 112, 119, 122, 126, 124, 108, 
##     106, 108, 97, 55, 51, 56, 61, 65, 64, 58, 65, 53, 58, 74, 
##     77, 75, 78, 103, 94, 103, 94, 92, 82, 85, 67, 61, 59, 69, 
##     64, -13, -12, -14, -13, -15, -15, -15, -19, -16, -16, -17, 
##     -18, -19, -16, -12, -15, -8, -10, -12, -7, -16, -23, -23, 
##     -18, -13, -16, -20, -18, -19, -18, -18, -12, -11, -7, -5, 
##     -25, -27, -19, -13, -12, -11, -27, -35, -45, -35, -33, -39, 
##     -49, -31, -10, -23, -62, -53, -44, -36, -27, -24, -36, -37, 
##     -34, -30, -24, -28, -31, -37, -36, -32, -38, -42, -39, -29, 
##     -28, -31, -31, -32, -32, -32, -32, -32, -31, -31, -30, -32, 
##     -32, -32, -34, -39, -48, -42, -30, -26, 0, -1, 0, -5, -17, 
##     -40, -47, -49, -50, -52, -50, -47, -46, -43, -19, -10, -63, 
##     -69, -5, 47, 0, -34, -49, -36, -34, -30, -14, -7, 6, -5, 
##     -18, -15, -11, -23, -1, -20, -20, -16, -16, -21, -17, -18, 
##     -16, -17, -19, -16, -21, -22, -20, -24, -24, -24, -41, -29, 
##     -37, -29, -30, -37, -39, -37, -41, -38, -17, -18, -26, -26, 
##     -27, -23, -18, -14, 1, 1, -18, -30, -12, -3, -2, -27, -22, 
##     -16, -14, -20, -19, -13, -24, -29, -26, -21, -4, -3, -33, 
##     -4, -31, -22, -6, -18, -33, -33, -11, 0, 3, 7, -9, -16, -17, 
##     -16, -6, -2, -11, -33, -42, -20, -6, -8, -16, -15, -20, -22, 
##     -35, -7, 6, -3, -5, -8, -3, -12, -3, 1, -17, -9, -12, -32, 
##     -9, -39, -19, -20, -29, -33, -34, -23, -3, -8, -21, -23, 
##     -15, -11, -4, -23, -19, -10, -2, 0, -3, -5, -14, -13, -13, 
##     -4, 3, -2, -3, -11, 2, -11, -10, -11, -13, -8, -4, -17, 4, 
##     -6, 0, 13, -7, -12, -9, -9, -4, 3, 14, 2, -1, -1, 3, 4, -17, 
##     -4, -8, -15, -6, -6, 0, 3, 6, 13, 8, 2, -3, 0, -11, 2, 9, 
##     -16, -2, -6, 4, -3, -6, -8, -1, 8, 4, 4, 7, 8, 7, -1, 2, 
##     7, 3, -8, -1, 2, 3, -5, -10, 22, -36, -1, -10, -11, 21, -1, 
##     -3, -5, -10, -2, 0, 4, 4, -1, -3, 4, -3, 9, 10, 8, 11, 11, 
##     4, 8, 11, 13, -1, -5, 9, -6, -4, 1, 4, -21, -17, 15, 3, 6, 
##     8, 14, 9, 0, 0, -1, -2, -3, -3, 1, 4, 2, 8, 4, -2, -5, -5, 
##     -3, 4, 3, 4, 7, 14, 20, 10, 17, 16, 17, 13, 6, -3, -3, -14, 
##     -17, -22, -22, -15, -14, -19, -22, -19, -11, -16, -15, -8, 
##     -16, -25, -7, -18, -40, -47, -41, -28, -24, -31, -38, -35, 
##     -29, 12, 9, 11, 15, 15, 8, 9, -2, 2, -4, -1, -10, 9, 14, 
##     22, 10, -3, 12, 18, 14, 23, -8, 7, 83, 83, 91, 91, 82, 96, 
##     100, 93, 90, 83, 85, 89, 87, 82, 91, 82, 81, 75, 88, 77, 
##     87, 88, 86, 104, 108, 101, 99, 90, 103, 83, 83, 114, 121, 
##     120, 124, 121, 114, 121, 105, 100, 103, 94, 102, 98, 89, 
##     91, 101, 89, 96, 92, 86, 91, 90, 93, 90, 76, 80, 87, 74, 
##     84, 85, 91, 64, 88, 93, 86, 87, -21, -16, -13, -8, -11, -11, 
##     -19, -16, -17, -15, -5, 4, 8, 7, 9, 13, 15, 10, 14, 8, 13, 
##     9, 11, 13, 4, 5, 6, 8, 11, -8, -5, 0, -1, -29, -23, -3, -6, 
##     -6, -13, -2, -16, -11, -5, -5, -15, -15, -7, -7, -11, -11, 
##     -24, -38, -24, -18, -23, -1, -17, -24, -14, -28, -21, -43, 
##     -37, -37, -38, -38, -41, -41, -37, -36, -14, -15, -20, -23, 
##     -25, -20, -21, -17, -18, -18, -19, -16, -19, 153, 154, 153, 
##     148, 149, 145, 141, 150, 155, 155, 145, 151, 158, 162, 160, 
##     153, 158, 156, 168, 167, 167, 159, 153, 157, 158, 158, 162, 
##     157, 157, 158, 158, 157, 164, 145, 151, 159, 32, 37, 31, 
##     29, 8, -16, -20, -22, -33, -38, -27, -20, -18, -18, -10, 
##     -6, 3, 13, 18, 25, -13, -6, -11, -23, -19, -13, -6, -15, 
##     -34, -18, -19, -18, -12, -13, -13, 1, -3, -13, -11, -18, 
##     -18, -9, -13, -12, -17, -8, -19, -27, -21, -15, -12, 44, 
##     33, 43, 27, 30, 23, 19, 13, 8, 3, -8, 13, 3, -7, -17, -3, 
##     -3, -3, -3, -3, -3, -3, -8, -10, -10, -10, -13, -13, -5, 
##     -5, 0, 0, 0, 0, 12, 54, 53, 53, 53, 238, 52, 53, 52, 53, 
##     54, 51, 52, 52, 54, 52, 51, 50, 50, 49, 52, 52, 50, 50, 51, 
##     52, 50, 52, 53, 52, 53, 53, 51, 52, 52, 52, 50, 50, 50, 52, 
##     50, 51, 49, 53, 54, 53, 51, 51, 15, -8, -2, 12, 18, 1, 4, 
##     1, -2, 3, -3, 1, 0, -2, 2, -9, 3, 21, 24, -12, -17, 3, 1, 
##     5, 2, 39, 33, 14, 8, 2, -3, 0, 3, -10, 7, 5, -1, -22, -2, 
##     2, -17, -20, -5, -1, 5, 3, -5, -10, -17, -11, -18, -25, -18, 
##     -8, -15, -29, -24, 6, -5, 21, 32, -2, 7, 15, 0, 12, 29, 17, 
##     -7, 10, 2, 4, 12, -7, 3, 3, 1, -10, -6, -15, 0, 5, 1, -3, 
##     5, 1, -4, 16, 9, 11, -28, -33, 21, -22, -18, 6, 3, -2, -9, 
##     1, -4, -10, 6, -4, -25, -20, -22, -20, -18, -19, -13, -9, 
##     -7, -12, -13, -14, -10, -11, -15, -10, -12, -72, -65, -86, 
##     -90, -63, -77, -72, -90, -118, -72, -64, -30, -108, -70, 
##     -36, -66, -13, -3, -48, -16, 10, 25, 28, 3, -19, -32, -12, 
##     -7, -12, -44, -58, -66, -64, -59, -58, -60, -75, -60, -82, 
##     -79, -76, -64, -91, -100, -97, -82, -55, -45, -46, -28, -57, 
##     -54, -28, -44, -65, 8, -15, -22, -47, -74, -102, -96, -95, 
##     -108, -86, -102, -69, -71, -77, -126, -126, -132, -101, -43, 
##     -67, -31, -63, -11, -24, -17, -11, -47, -71, -83, -85, -90, 
##     -103, -112, -117, -116, -122, -111, -40, 1, -17, -8, -17, 
##     -23, -59, -74, -78, -84, -100, -79, -101, -108, -116, -115, 
##     -47, -94, -125, -86, -59, -55, -50, -6, -75, -56, -46, 78, 
##     -31, -3, -7, 9, 7, 12, -27, -54, -71, -101, -97, -90, -113, 
##     -113, -88, -93, -100, -106, -111, -104, -100, -101, -95, 
##     -60, -29, -14, -133, -93, -91, -92, -112, -102, -81, -85, 
##     -55, -83, -9, 8, 0, -21, -28, 1, 2, -2, 1, -2, -23, -20, 
##     -66, -87, -114, -93, -110, -109, -107, -100, -104, -107, 
##     -77, -152, -150, -149, -132, -134, -114, -78, -92, -82, -61, 
##     -65, -38, -72, -58, 2, -20, -36, -40, -17, -2, -2, 6, 43, 
##     40, 30, 52, 50, 72, 33, 29, 36, 40, 56, 66, 69, 76, 69, 76, 
##     81, 90, 82, 77, 76, 78, 90, 86, 82, 83, 73, 69, 75, 72, 57, 
##     61, 59, 54, 48, 38, 26, 31, 13, -7, -8, -3, -26, -35, -36, 
##     -25, -15, -30, -31, -21, -17, -31, -29, -34, -31, -24, -31, 
##     -35, -13, -1, 10, 12, 31, 52, 60, 50, 53, 63, 63, 69, 65, 
##     65, 85, 88, 90, 104, 98, 74, 72, 70, 73, 77, 79, 76, 81, 
##     81, -31, -23, 9, 15, 29, 33, 39, 39, 46, 48, 30, 61, 77, 
##     79, 79, 82, 82, 74, 77, 74, 70, 72, 80, 81, 78, 78, 80, 73, 
##     55, 29, 21, 16, 27, 9, -7, -7, -7, -7, -45, -44, -41, -32, 
##     -31, -37, -32, -49, -33, -23, -13, 75, 85, 81, 81, 85, 81, 
##     81, 73, 68, 47, 53, 48, 37, 24, 21, 0, -27, -26, -41, -39, 
##     -37, -36, -39, -40, -41, -44, -34, -22, -23, -5, 16, 18, 
##     26, 54, 54, 36, 60, 60, 65, 71, 75, 71, 63, 65, 77, 73, 67, 
##     73, 77, 28, 29, 26, 16, -15, -40, -32, -46, -44, -39, -42, 
##     -39, -36, -38, -40, -35, -28, -8, 1, 28, 34, 41, 39, 51, 
##     39, 64, 84, 81, 75, 70, 51, 38, 31, 17, 0, 1, 1, -14, -23, 
##     -18, -29, -26, -33, -27, -37, -58, -21, 43, 45, 50, 52, 43, 
##     35, 24, 12, 24, 21, 10, 10, 10, 2, 2, 0, -12, -29, -26, -37, 
##     -37, -39, -47, -41, -28, 22, 52, 49, 46, 58, 73, 83, 78, 
##     66, 77, 77, 67, 68, 66, 75, 52, 40, 47, 34, 24, 13, 1, 3, 
##     4, -1, 4, -15, -8, 1, -2, 2, 18, 12, 81, 71, 59, 59, 82, 
##     82, 81, 91, 91, 90, 82, 89, 108, 108, 138, 142, 139, 131, 
##     109, 99, 121, 74, 28, 3, 11, -20, -26, 4, -30, -27, -9, -6, 
##     -40, 7, -22, -38, 58, 69, 72, 64, 63, 88, 92, 111, 136, 143, 
##     134, 131, 130, 118, 119, 119, 124, 108, 98, 78, 55, 41, 31, 
##     14, 10, -9, -1, 164, 146, 131, 135, 135, 146, 138, 143, 149, 
##     134, 145, 134, 116, 120, 104, 28, 29, 17, 22, 3, 0, -14, 
##     -14, -8, -4, -18, 4, 62, 119, 114, 93, 69, 64, 54, 40, 23, 
##     23, 11, -18, -28, -18, -26, -22, -32, -40, -41, -39, -23, 
##     -23, -23, 37, 73, 70, 77, 95, 139, 138, 148, 158, 173, 144, 
##     115, 157, 138, 129, 115, 123, 110, 110, 115, 104, 64, 52, 
##     116, 125, 98, 60, 46, 41, 21, 4, -1, -4, -17, -21, -27, -47, 
##     106, 121, 123, 103, 87, 84, 33, 21, 8, -13, -21, -15, -35, 
##     -34, -40, -42, -51, -59, -60, -64, -55, -38, 24, 42, 44, 
##     6, -42, -41, -61, -55, -42, -65, -85, -89, -34, -15, -3, 
##     46, 37, 58, 53, 92, 145, 148, 122, 114, 107, 131, 91, 108, 
##     -5, -3, -24, -33, -38, -62, -51, 129, 131, 126, 131, 120, 
##     125, 112, 130, 99, 103, 78, 84, 90, 55, 34, 23, 24, 23, 23, 
##     23, 24, 22, 24, 17, 27, 27, 27, 25, 22, 29, 24, 25, 26, 26, 
##     32, 30, 27, 21, 20, 25, 19, 25, 19, 18, 20, 18, 15, 19, 19, 
##     14, 10, 19, 25, 18, 24, 18, 17, 11, 10, -18, -13, 193, 202, 
##     205, 192, 198, 198, 197, 188, 186, 187, 181, 194, 196, 203, 
##     195, 183, 167, 162, 179, 193, 174, 154, 160, 162, 157, 152, 
##     156, 155, 158, 156, 162, 159, 156, 153, 152, 153, 149, 158, 
##     154, 153, 163, 143, 128, 211, 261, 225, 189, 247, 274, 282, 
##     255, 266, 266, 277, 282, 243, 225, 268, 231, 226, 272, 287, 
##     268, 250, 236, 231, 240, 260, 299, 249, 251, 254, 188, 169, 
##     153, 162, 180, 164, 141, 143, 154, 163, 178, 275, 261, 225, 
##     247, 227, 270, 273, 278, 236, 238, 266, 259, 202, 206, 187, 
##     142, 128, 143, 135, 140, 135, 131, 132, 180, 237, 223, 220, 
##     232, 247, 245, 261, 251, 244, 237, 252, 194, 184, 180, 179, 
##     108, 160, 235, 206, 226, 229, 222, 195, 191, 171, 165, 174, 
##     154, 157, 172, 158, 269, 257, 228, 228, 244, 272, 283, 228, 
##     239, 245, 278, 273, 234, 169, 156, 155, 154, 159, 176, 167, 
##     137, 138, 156, 206, 202, 272, 257, 234, 231, 220, 213, 204, 
##     197, 281, 272, 236, 261, 284, 256, 225, 185, 190, 211, 173, 
##     183, 165, 183, 197, 254, 272, 276, 184, 194, 201, 222, 260, 
##     291, 149, 162, 167, 185, 228, 270, 242, 188, 186, 302, 300, 
##     299, 247, 252, 280, 255, 70, 69, 66, 70, 68, 65, 68, 94, 
##     92, 144, 160, 146, 212, 192, 187, 182, 181, 177, 191, 182, 
##     150, 138, 130, 124, 109, 100, 93, 111, 84, 91, 81, 75, 82, 
##     76, 62, 70, 79, 82, 107, 111, 131, 144, 146, 151, 152, 153, 
##     159, 159, 172, 202, 195, 188, 219, 220, 224, 225, 227, 195, 
##     191, 183, 186, 190, 154, 150, 149, 140, 129, 107, 105, 94, 
##     85, 75, 72, 85, 85, 95, 124, 127, 139, 138, 143, 152, 174, 
##     182, 180, 204, 201, 200, 223, 214, 230, 232, 140, 137, 119, 
##     118, 99, 108, 91, 101, 62, 67, 70, 74, 89, 79, 71, 74, 79, 
##     225, 235, 229, 226, 197, 190, 195, 191, 189, 186, 199, 176, 
##     167, 159, 143, 130, 115, 119, 102, 98, 87, 92, 89, 101, 99, 
##     92, 69, 74, 83, 80, 82, 55, 69, 71, 77, 89, 94, 108, 119, 
##     157, 176, 174, 175, 181, 187, 187, 197, 195, 208, 221, 219, 
##     224, 224, 222, 220, 219, 101, 90, 91, 88, 88, 75, 76, 76, 
##     90, 88, 117, 124, 138, 144, 138, 150, 159, 210, 217, 121, 
##     111, 106, 102, 99, 112, 105, 90, 77, 88, 84, 93, 73, 85, 
##     89, 82, 85, 85, 83, 91, 106, 136, 140, 153, 152, 164, 162, 
##     186, 184, 182, 205, 214, 215, 204, 210, 212, 209, 203, 200, 
##     197, 193, 153, 155, 154, 155, 154, 121, 108, 98, 99, 92, 
##     78, 90, 86, 71, 75, 67, 70, 73, 68, 77, 74, 61, 67, 66, 76, 
##     91, 120, 122, 123, 105, 118, 141, 151, 155, 151, 154, 187, 
##     198, 196, 194, 214, 213, 208, 209, 212, 214, 218, 221, 220, 
##     220, 217, 196, 191, 177, 167, 184, 158, 162, 158, 143, 131, 
##     123, 107, 95, 94, 86, 82, 83, 83, 78, 78, 69, 67, 61, 91, 
##     90, 73, 70, 92, 122, 120, 120, 148, 142, 219, 212, 207, 204, 
##     186, 185, 171, 170, 156, 150, 124, 129, 219, 167, 124, 132, 
##     124, 115, 110, 101, 106, 70, 70, 68, 87, 155, 165, 156, 167, 
##     166, 163, 186, 204, 193, 206, 210, 200, 193, 204, 219, 238, 
##     225, 225, 232, 225, 223, 210, 196, 194, 195, 184, 198, 144, 
##     176, 170, 168, 187, 201, 213, 223, 225, 232, 229, 232, 232, 
##     233, 231, 230, 228, 221, 105, 110, 100, 95, 97, 97, 101, 
##     110, 82, 86, 78, 91, 102, 93, 92, 77, 95, 97, 93, 103, 105, 
##     115, 114, 109, 115, 124, -8, 2, 5, 4, 6, 11, 17, 20, 21, 
##     -10, 1, 10, 5, 1, 3, 7, 18, 34, 30, 24, 22, 22, 15, 14, 16, 
##     8, 8, -4, 1, 16, 10, 7, 9, -14, -3, 3, 24, 15, 9, -19, -21, 
##     5, 7, 5, 0, 2, -1, -2, -1, -2, -6, -5, 1, -24, -43, 16, 26, 
##     12, 7, 5, 12, 18, 19, 35, 40, 48, 66, 76, 108, 114, 120, 
##     152, 133, 154, 140, 131, 125, 125, 121, 91, 92, 89, 79, 56, 
##     47, 39, 21, 25, -5, 13, 11, 10, 9, 14, 26, 27, 27, 24, 30, 
##     54, 60, 54, 92, 101, 101, 109, 106, 114, 113, 126, 135, 144, 
##     149, 153, 156, 155, 53, 76, 75, 80, 34, 22, 49, 48, 49, 49, 
##     48, 47, 41, 22, 33, 43, 33, 25, 21, 46, 122, 127, 133, 130, 
##     134, 115, 141, 124, 104, 103, 77, 74, 76, 62, 54, 52, 64, 
##     53, 51, 12, 12, 37, 12, 26, 19, 25, 48, 44, 67, 77, 87, 91, 
##     72, 76, 86, 114, 117, 117, 119, 118, 121, 122, 120, 117, 
##     108, 112, 112, 113, 111, 105, 80, 83, 89, 69, 68, 69, 24, 
##     19, 26, 54, 28, 29, 33, 36, 33, 32, 33, 30, 31, 19, 49, 53, 
##     58, 57, 55, 66, 64, 60, 75, 75, 85, 78, 84, 97, 102, 104, 
##     105, 109, 112, 117, 117, 117, 111, 123, 114, 104, 101, 97, 
##     95, 93, 81, 79, 63, 69, 58, 70, 69, 39, 37, 32, 43, 53, 52, 
##     60, 60, 59, 65, 73, 95, 99, 106, 128, 120, 128, 119, 112, 
##     111, 115, 117, 112, 107, 89, 93, 75, 77, 80, 80, 80, 80, 
##     80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 
##     80, 80, -20, -29, -28, -43, -67, -54, -52, -85, -67, -67, 
##     -62, -64, -64, -63, -47, -47, -41, -21, 5, 5, 8, 12, 15, 
##     19, 25, 29, 32, 52, 51, 50, 50, 51, 55, 55, 45, 40, 31, 40, 
##     43, 32, 27, 37, 28, 28, 5, -8, -32, 0, -15, -58, -68, -59, 
##     -71, -6, -52, -63, -40, -8, 3, 6, 2, 8, -3, 4, 14, 15, 24, 
##     30, 33, 52, 52, 62, 67, 71, 57, 56, 56, 69, 66, 55, 43, 38, 
##     34, 29, 25, 22, 16, 21, 10, 11, 11, -9, -14, -21, -14, -23, 
##     -26, -38, 77, 82, 74, 123, 122, 122, 129, 119, 125, 126, 
##     123, 119, 116, 118, 115, 114, 114, 83, 80, 77, 93, 92, 86, 
##     91, 82, 79, 82, 81, 78, 85, 88, 86, 86, 90, 86, 84, 91, 85, 
##     89, 87, 87, 84, 86, 83, 83, 85, 85, 82, 83, 84, 85, 81, 86, 
##     84, 81, 83, 80, 81, 79, 78, 74, 73, 77, 77, 77, 74, 75, 75, 
##     75, 74, 71, 75, 29, 19, 12, -12, -12, -7, -7, -5, -23, -20, 
##     -18, -29, 45, 68, 28, 40, 32, 30, 32, 29, 28, 25, 30, 41, 
##     40, 34, 33, 35, 59, 54, 79, 81, 105, 106, 109, 110, 115, 
##     116, 116, 145, 138, 135, 122, 131, 141, 139, 139, 106, 116, 
##     117, 111, 105, 105, 92, 20, 20, 15, 10, 41, 27, 35, 38, 36, 
##     35, 40, 30, 260, 235, 171, 172, 159, 208, 173, 168, 182, 
##     176, 200, 250, 246, 257, 255, 278, 257, 215, 228, 231, 185, 
##     186, 185, 180, 164, 143, 141, 160, 141, 150, 200, 252, 248, 
##     229, 207, 223, 243, 238, 242, 237, 244, 183, 176, 160, 157, 
##     160, 139, 165, 182, 156, 145, 140, 143, 152, 188, 213, 179, 
##     169, 119, 206, 183, 162, 167, 170, 147, 137, 142, 171, 160, 
##     155, 153, 152, 151, 163, 153, 153, 155, -1, -1, -1, -1, -1, 
##     -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 40, 47, 56, 55, 
##     51, 80, 79, 84, 76, 75, 73, 78, 82, 74, 59, 49, 47, 46, 16, 
##     48, 56, 46, 50, 66, 74, 80, 82, 81, 74, 64, 58, 60, 47, 44, 
##     26, 15, 2, -11, -28, -33, -32, -15, -18, -42, -36, -37, -12, 
##     -28, -37, -32, -25, -23, -25, -39, -41, -39, -32, -11, 73, 
##     81, 73, 64, 62, 62, 63, 60, 43, 45, 34, 30, 16, -12, -13, 
##     -47, -73, -96, -118, -113, -110, -100, -73, -82, -78, -89, 
##     -113, -99, -110, -101, -130, -137, -136, -138, -104, -84, 
##     -90, -43, 3, -10, -14, -17, -36, -58, -58, -69, -18, -14, 
##     -26, -29, -6, -19, -18, -19, -20, -14, -15, -17, -13, 38, 
##     33, 11, 11, 13, 14, 16, 14, 25, 22, 18, 26, 29, 32, 41, 27, 
##     26, 20, -47, -83, -51, -34, -14, 39, 41, 44, 57, 73, 89, 
##     110, 125, 96, 106, 111, 135, 137, 146, 114, 137, 132, 114, 
##     121, 83, -17, -16, 3, 37, 44, 56, 58, 68, 81, 88, 115, 140, 
##     142, 85, 86, 97, 114, 123, 130, 136, 129, 124, 118, 123, 
##     129, 116, 23, 17, 5, -10, -4, -27, -28, -4, -18, -39, -8, 
##     -20, -20, 29, 44, 55, 68, 69, 63, 61, 71, 82, 77, 119, 130, 
##     142, 165, 122, 116, 115, 125, 131, 130, 120, 104, 94, 102, 
##     -51, -42, -12, -4, -30, -11, 12, 44, 91, 84, 104, 114, 164, 
##     -12, -51, -49, -33, -33, -35, -74, -84, -130, -139, -130, 
##     -137, -129, -142, -85, -126, -155, -161, -152, -142, -100, 
##     -30, -40, -69, -12, -27, -18, -24, -17, -14, -12, -14, -42, 
##     -82, -102, -117, -117, -102, -108, -113, -101, -107, -119, 
##     -127, -109, -128, -99, -82, -106, -128, -99, -102, -86, -95, 
##     -84, -73, -45, 34, -50, -4, -9, -35, -21, -12, -25, -9, -7, 
##     -13, -2, -15, -11, -5, 2, -8, -13, -23, -25, -18, -5, 2, 
##     4, 14, 11, 0, -11, -4, 7, 4, 6, 8, 8, 2, 2, 2, 2, 11, -6, 
##     -4, -16, -11, -24, -23, -6, -12, -5, -10, -18, -2, 2, 12, 
##     -8, -11, 6, 0, -5, -5, -5, -15, -3, 8, -7, -28, -34, -14, 
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##     -1, -2, 0, -2, -3, 4, 11, 6, 13, 17, 11, 11, -1, 1, 6, -7, 
##     0, 24, 1, -27, -21, -15, 36, 7, -10, -14, -20, -14, 8, 6, 
##     -6, -5, -2, -2, -7, -8, -7, 0, 5, 2, 5, 5, 12, 10, 7, 10, 
##     9, 6, -15, -21, 1, 2, 11, -17, -30, -26, 25, -19, -18, 9, 
##     6, 4, -16, 3, -1, 2, -10, -1, 6, -1, 6, 17, -8, 1, 1, 5, 
##     12, 9, 2, -23, -4, 9, 3, -5, -6, -4, 2, 8, 6, 3, 0, -3, -10, 
##     8, 6, -2, 15, 7, 9, 20, -21, -26, -26, -31, -44, -44, -44, 
##     -44, -44, -44, -28, -24, -24, -24, -24, -24, -24, -24, -6, 
##     -33, -68, -33, -35, -34, -35, -38, -51, -51, -51, -51, -51, 
##     -51, -51, -28, -31, -36, -37, -52, -52, -51, -47, -47, -41, 
##     -37, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, 28, 32, 32, 
##     27, 29, 26, -5, 10, -7, -4, -2, -4, -11, -12, -3, 1, 1, -2, 
##     0, -14, -9, -6, -2, 5, 8, 6, 6, 23, 26, 31, 34, 23, 9, 6, 
##     11, 14, 14, -6, -10, -7, -7, -2, -6, -4, 0, 1, 5, 12, 13, 
##     15, 19, 22, 31, 27, 30, 38, 33, 30, 31, 31, 26, 9, 6, 21, 
##     11, -7, -3, -11, -6, -7, -6, -4, -3, -9, -11, -9, -2, -3, 
##     -5, -3, -3, -3, 5, 6, 5, 7, 14, 16, 22, 24, 16, 11, 7, 7, 
##     7, 7, 7, 7, 7, 7, 7, -6, 8, 13, 2, 5, 10, 14, 11, 11, 11, 
##     11, 11, 11, 11, 10, 14, 16, 16, 16, 16, 16, 16, 20, 21, 21, 
##     27, 35, 35, 22, 26, 26, 26, 26, 26, 26, 30, 30, 30, 30, 30, 
##     30, -18, -8, -11, -15, -17, -15, -17, -17, -20, -25, -31, 
##     -33, -27, -24, -31, -33, -40, -44, -37, -35, -35, -59, -61, 
##     -59, -58, -59, -57, -35, -51, -48, -36, -53, -48, -35, -40, 
##     -29, -13, -17, -8, 7, -2, -7, -24, -4, 8, -17, -4, 3, -1, 
##     -14, -11, -17, -29, -21, -43, -40, -44, -47, -27, -39, -25, 
##     -19, -31, -35, -14, -15, -8, -49, -10, -32, -17, -23, -33, 
##     -24, -27, -19, -65, 2, -18, 4, -7, -17, -34, -11, -23, -30, 
##     -26, -28, -27, -20, -27, -26, -21, -33, -52, -51, -43, -34, 
##     -36, -34, -29, -34, -32, -17, -43, -34, -26, -45, -21, -21, 
##     -17, -11, -8, -17, -21, -20, -26, -16, -26, -21, -17, -20, 
##     -29, -27, -31, -33, -33, -31, -12, -34, -5, -30, 15, -9, 
##     -47, -10, -27, -35, -37, -31, 1, -8, -16, -33, -40, -53, 
##     -37, -35, -41, -47, -42, -43, -44, -20, -24, -32, -30, -80, 
##     -52, -48, -27, -27, -16, 8, -55, -16, -30, -26, -37, -12, 
##     -20, -30, -39, -37, -38, -35, -34, -42, -34, -30, -37, -21, 
##     -39, -26, -39, -34, -51, 1, -36, -52, -31, -24, -42, -43, 
##     -17, -30, -32, -39, -26, -19, -17, -20, -25, -37, -41, -35, 
##     -37, -36, -33, -17, -14, -37, -44, -34, -36, -36, -30, -26, 
##     -20, -25, -51, -19, -33, -30, -16, -35, -30, -34, -48, -10, 
##     -12, -9, -20, -24, -31, -35, -27, -26, -29, -14, -11, -23, 
##     13, -8, -7, -23, -32, -42, -26, -16, -16, -13, -14, -17, 
##     -11, -18, -18, -26, -16, -22, -19, -19, -22, -35, 233, 272, 
##     279, 260, 245, 240, 231, 296, 227, 233, 194, 191, 172, 166, 
##     175, 157, 160, 174, 149, 139, 128, 129, 171, 181, 174, 134, 
##     148, 134, 144, 139, 142, 139, 136, 140, 137, 148, 141, 147, 
##     148, 142, 142, 143, 142, 141, 143, 150, 133, 130, 140, 134, 
##     141, 140, 139, 139, 130, 136, 146, 155, 150, 148, 150, 142, 
##     135, 144, 161, 160, 138, 139, 143, 148, 155, 157, 146, 147, 
##     149, 155, 156, 152, 143, 138, 134, 152, 148, 139, 145, 145, 
##     145, 137, 145, 153, 142, 140, 125, 138, 137, 135, 118, 134, 
##     147, 126, 121, 127, 136, 137, 138, 151, 163, 151, 149, 155, 
##     143, 166, 133, 143, 138, 116, 123, 115, 121, 129, 145, 140, 
##     141, 140, 131, 120, 145, 137, 156, 162, 133, 144, 149, 158, 
##     155, 156, 161, 156, 137, 137, 156, 145, 160, 178, 112, 110, 
##     169, 128, 115, 134, 124, 117, 121, 134, 148, 162, 155, 146, 
##     155, 156, 148, 162, 159, 149, 159, 154, 162, 139, 131, 152, 
##     143, 98, 138, 160, 129, 149, 155, 151, 148, 153, 158, 155, 
##     160, 163, 159, 160, 162, 151, 154, 182, 102, 105, 138, 131, 
##     141, 129, 117, 119, 119, 117, 126, 139, 166, 142, 142, 139, 
##     147, 153, 161, 167, 158, 142, 149, 152, 130, 132, 169, 123, 
##     112, 123, 123, 102, 152, 150, 155, 170, 166, 143, 161, 162, 
##     155, 155, 143, 161, 152, 155, 175, 161, 134, 118, 94, 103, 
##     108, 157, 155, 130, 126, 115, 138, 155, 165, 135, 139, 161, 
##     149, 159, 157, 158, 168, 163, 159, 146, 149, 161, 166, 151, 
##     150, 151, 119, 155, 155, 148, 157, 153, 166, 150, 146, 141, 
##     159, 148, 151, 159, 157, 166, 151, 149, 149, 124, 155, 132, 
##     129, 138, 133, 134, 135, 131, 136, 131, 126, 129, 135, 132, 
##     136, 135, 137, 135, 138, 135, 135, 134, 135, 141, 133, 128, 
##     144, 139, 137, 181, 184, 198, 198, 215, 224, 213, 203, 193, 
##     192, 197, 236, 156, 197, 221, 239, 232, 221, 217, 227, 227, 
##     222, 177, 181, 180, 195, 144, 137, 144, 139, 141, 139, 142, 
##     145, 140, 139, 144, 139, 142, 143, 144, 140, 137, 138, 137, 
##     139, 138, 138, 165, 175, 190, 192, 198, 199, 200, 210, 207, 
##     203, 192, 183, 174, 152, 150, 143, 192, 196, 213, 220, 224, 
##     231, 232, 229, 220, 218, 203, 199, 196, 189, 180, 174, 60, 
##     64, 72, 70, 75, 86, 75, 73, 82, 91, 90, 91, 89, 88, 88, 89, 
##     90, 96, 105, 109, 103, 106, 110, 93, 51, 61, 78, 88, 91, 
##     90, 83, 76, 77, 65, 80, 81, 56, 51, 60, 58, 45, 48, 79, 64, 
##     64, 72, 68, 70, 76, 66, 66, 77, 70, 73, 64, 52, 69, 74, 74, 
##     67, 79, 84, 74, 73, 73, 78, 82, 71, 83, 64, 78, 72, 78, 74, 
##     67, 85, 90, 83, 84, 85, 89, 78, 63, 76, 82, 75, 76, 78, 91, 
##     95, 84, 87, 87, 92, 90, 93, 93, 91, 93, 94, 96, 91, 91, 89, 
##     90, 84, 83, 81, 86, 71, 65, 85, 65, 83, 82, 75, 85, 74, 74, 
##     76, 81, 76, 76, 78, 72, 84, 91, 85, 87, 84, 81, 85, 81, 83, 
##     80, 77, 80, 85, 74, 81, 78, 77, 65, 66, 72, 75, 51, 65, 84, 
##     74, 69, 63, 62, 50, 86, 86, 76, 75, 83, 85, 84, 78, 83, 82, 
##     79, 86, 86, 80, 78, 77, 82, 81, 86, 85, 85, 80, 82, 81, 78, 
##     83, 64, 60, 75, 73, 75, 70, 77, 71, 70, 71, 71, 67, 62, 69, 
##     74, 71, 71, 68, 63, 88, 100, 102, 92, 80, 80, 86, 91, 93, 
##     95, 103, 91, 102, 95, 100, 97, 86, 88, 83, 65, 65, 71, 73, 
##     65, 76, 77, 84, 78, 74, 79, 77, 75, 77, 79, 81, 77, 85, 88, 
##     78, 87, 70, 79, 71, 77, 77, 82, 74, 76, 76, 76, 76, 76, 67, 
##     77, 88, 91, 70, 32, 75, 68, 73, 76, 69, 74, 78, 78, 74, 73, 
##     82, 79, 79, 82, 80, 79, 79, 78, 72, 94, 81, 70, 73, 75, 75, 
##     79, 76, 86, 69, 71, 71, 62, 72, 66, 70, 65, 67, 77, 93, 91, 
##     87, 85, 85, 78, 87, 79, 87, 76, 89, 90, 87, 71, 76, 69, 48, 
##     123, 94, 79, 66, 48, 71, 62, 69, 75, 78, 75, 72, 61, 68, 
##     65, 59, 66, 65, 71, 65, 63, 66, 47, 64, 74, 73, 74, 73, 71, 
##     71, 67, 67, 64, 65, 78, 74, 80, 85, 78, 84, 81, 84, 87, 78, 
##     75, 74, 74, 75, 76, 75, 73, 74, 73, 69, 160, 162, 179, 121, 
##     79, 69, 61, 64, 65, 61, 67, 66, 69, 71, 85, 114, 132, 132, 
##     148, 150, 166, 183, 84, 83, 84, 85, 69, 70, 73, 79, 83, 82, 
##     80, 66, -40, -33, -36, -37, -67, -73, -77, -73, -65, -68, 
##     -67, -64, -68, -66, -61, -61, -63, -68, -65, -63, -68, -68, 
##     -82, -65, -62, -61, -61, -70, -66, -64, -54, -48, -65, -59, 
##     -56, -49, -48, -54, -51, -52, -57, -58, -56, -54, -47, -45, 
##     -54, -56, -56, -50, -50, -48, -52, -51, -53, -56, -47, -57, 
##     -52, -52, -53, -68, -56, -55, -43, -61, -60, -57, -63, -69, 
##     -75, -73, -63, -64, -64, -39, -39, -58, -59, -56, -53, -50, 
##     -49, -57, -57, -54, -57, -58, -54, -51, -54, -53, -56, -52, 
##     -61, -58, -51, -54, -52, -50, -58, -56, -59, -60, -52, -61, 
##     -62, -53, -55, -54, -54, -61, -50, -52, -59, -60, -57, -56, 
##     -57, -54, -52, -57, -54, -61, -62, -56, -61, -60, -49, -48, 
##     -60, -56, -49, -51, -53, -53, -57, -54, -50, -53, -48, -54, 
##     -56, -55, -52, -47, -50, -51, -56, -59, -58, -58, -61, -52, 
##     -53, -49, -59, -58, -64, -59, -54, -58, -60, -70, -75, -65, 
##     -63, -62, -63, -51, -57, -52, -55, -65, -63, -53, -56, -58, 
##     -53, -60, -57, -56, -53, -54, -58, -56, -53, -55, -59, -58, 
##     -56, -57, -54, -59, -57, -58, -56, -57, -72, -52, -51, -56, 
##     -52, -54, -60, -74, -68, -61, -57, -59, -41, -54, -56, -52, 
##     -54, -57, -53, -53, -61, -60, -63, -64, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -44, -56, 
##     -50, -52, -52, -51, -51, -56, -57, -57, -55, -51, -54, -55, 
##     -55, -56, -55, -51, -50, -56, -60, -68, -61, -56, -59, -70, 
##     -56, -79, -75, -74, -68, -53, -53, -53, -65, -61, -58, -49, 
##     -46, -52, -53, -58, -73, -72, -57, -61, -69, -69, -59, -57, 
##     -71, -62, -70, 135, 151, 125, 138, 139, 134, 136, 140, 141, 
##     140, 144, 142, 144, 209, 183, 129, 133, 159, 147, 153, 137, 
##     204, 216, 220, 238, 205, 119, 129, 130, 163, 102, 144, 149, 
##     141, 144, 139, 128, 153, 143, 141, 146, 157, -3, -12, -8, 
##     -6, -8, -7, -5, -4, -7, -6, -7, -6, -4, 4, 33, 33, 33, 31, 
##     31, 31, 29, 16, 1, 1, 9, 0, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -13, 1, -10, 2, 8, 9, 1, -11, 4, -10, -11, -7, 
##     -4, 6, 4, 0, 2, 9, -2, -14, -8, -8, -1, -13, -13, -6, -4, 
##     5, -7, 1, -19, -36, -24, 4, 14, 6, -3, -28, -27, -25, -19, 
##     4, -1, -26, -23, -4, 26, 2, -24, -33, -5, -11, -10, -2, -7, 
##     -22, -10, -9, -13, 6, 6, 14, 3, -16, -1, 9, 5, -6, -33, -33, 
##     14, -10, -5, -11, -41, -14, -14, -14, -7, -9, -12, -20, -29, 
##     -32, -19, -25, -35, -26, -22, -22, -28, -20, -24, -23, -28, 
##     -30, -35, -23, -29, -37, -34, 38, 33, 46, 41, 41, 39, 41, 
##     43, 47, 49, 42, 46, 51, 43, 35, 33, 33, 52, 41, 17, 33, 28, 
##     31, 24, 29, 38, 39, 22, 19, 50, 65, 55, 51, 25, 14, 46, 46, 
##     46, 42, 39, 12, 9, 31, 45, 43, 36, 40, 46, 35, 27, 42, 27, 
##     37, 24, 12, 12, 17, 13, 5, 1, -2, 5, 10, 6, 4, 10, 9, 7, 
##     5, 8, 6, 4, 7, 4, -2, 9, 5, 7, 4, 2, 2, 3, 3, 4, 7, 10, 2, 
##     9, -7, -3, -3, 4, 15, 17, 11, -4, -8, -8, -4, -3, 21, 11, 
##     -11, -10, -10, 2, -3, 13, 7, 4, 3, 1, 6, 21, 5, 8, 9, -1, 
##     7, -5, 2, -7, -12, -10, -12, -4, -4, -10, -6, -17, -6, 2, 
##     -8, 4, 5, -9, 17, 17, 11, 8, 8, 8, 0, 5, 13, -9, -13, -6, 
##     -4, 26, 3, -19, -5, 7, 16, -10, 19, -2, -5, -6, -18, -13, 
##     -5, -2, 3, -2, -2, 0, -5, 0, -31, -21, -5, 10, -11, 30, 2, 
##     -6, 12, 18, 15, 15, 10, 5, 6, 2, -3, -3, -10, -13, -20, 6, 
##     7, -28, -41, -42, -21, -26, -28, -5, -1, -11, -4, -5, -12, 
##     -7, -4, -2, -10, -5, -15, -24, -42, -38, -8, -7, -5, -7, 
##     -13, -21, -22, -25, -32, -36, -34, -34, -29, -26, -32, -13, 
##     -22, -17, -48, -39, -50, -41, -24, -26, -39, -49, -30, -20, 
##     -27, -17, -21, -27, -29, -22, -22, -19, -25, -45, -52, -59, 
##     -52, -59, -52, -1, -41, -36, -38, -22, -20, -19, -33, -26, 
##     -30, -45, -38, -33, -40, -46, -15, -20, -20, -61, -62, -76, 
##     -63, -49, -55, -62, -44, -46, -55, -51, -37, -23, -27, -32, 
##     -29, -23, -20, -18, -25, -43, -38, -38, -40, -26, -32, -14, 
##     -47, -35, -51, -38, -25, -30, -29, -51, -45, -28, -26, -31, 
##     -24, 45, 30, 29, 40, 47, 46, 44, 40, 45, 43, 38, 32, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 24, 27, 28, 15, 15, 19, 20, 
##     16, 14, 22, 20, 21, 27, 16, 15, 10, 28, 9, 8, 14, 15, -11, 
##     -6, -3, -3, 7, 4, 9, 17, -2, 3, 0, 21, 21, 25, 32, 32, 34, 
##     39, 40, 41, 20, 14, 37, 37, 27, 37, 28, 21, 26, 25, 25, 24, 
##     24, 23, 26, 31, 10, 13, 6, 4, 6, 15, 9, 15, 29, 41, 41, 29, 
##     29, 37, 35, 32, 29, 43, 37, 39, 40, -2, 11, 14, 18, 16, 26, 
##     23, 21, 22, 21, 40, 45, 45, 46, 45, 41, 41, 55, 53, 48, 48, 
##     42, 39, 41, 39, 36, 26, 35, 38, 31, 31, 35, 23, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 30, 30, 30, 30, 30, 30, 24, 27, 18, 
##     11, 2, 8, 9, -5, 1, 9, -6, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -33, -14, -8, -15, -13, 
##     -23, -7, -2, 20, 18, 25, 46, 64, 80, 83, 79, 90, 91, 89, 
##     89, 85, 73, 62, 28, 31, 29, 7, -3, -1, 12, -30, -37, -31, 
##     -20, -16, -6, -3, -11, -27, -21, 9, 23, 24, 26, 24, 25, 30, 
##     77, 77, 72, 95, 100, 101, 105, 85, 73, 63, 41, 39, 11, 5, 
##     -9, -6, -4, -13, -5, -8, -5, -11, -18, -6, -8, 1, 20, 25, 
##     34, 42, 50, 54, 65, 62, 78, 73, 46, 32, 32, 28, 26, 14, 14, 
##     9, 9, 12, 2, -15, -22, -4, -9, -9, -22, -10, -10, 3, 16, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 20, 19, 19, 21, 18, 19, 19, 16, 19, 19, 14, -35, 
##     -30, -40, -28, -19, -11, -14, 2, 6, 17, 28, 38, 26, 13, 10, 
##     -1, 28, 22, 5, 24, 20, 1, 4, 10, 13, 15, 7, 5, 9, 10, 9, 
##     4, 8, 4, 8, 10, 17, 4, 30, 37, 33, 30, 34, 30, 37, 19, 15, 
##     16, 17, 22, 27, 10, 4, 4, 9, 12, 7, 9, 9, 9, 10, 6, 12, 11, 
##     11, 20, 26, 19, 25, 18, 11, 11, 16, 32, 35, 24, 12, 14, 24, 
##     18, 24, 10, 9, -2, -1, -7, -2, 8, 2, 0, 5, 7, 5, 6, 10, 9, 
##     6, 2, 3, 34, 31, 8, 22, 31, 28, 30, 30, 27, 28, 26, 22, 17, 
##     22, 20, 13, 13, 8, 1, 8, 6, 4, 2, 11, 10, 8, 12, 32, 25, 
##     27, 18, 17, 18, 30, 20, 23, 19, 33, 31, 10, 0, 3, 1, 10, 
##     12, 12, 14, 21, 8, 10, 14, 23, 26, 25, 30, 31, 27, 29, 22, 
##     11, 20, 19, 21, 26, 25, 52, 26, 41, 43, 58, 38, 46, 50, 49, 
##     50, 57, 44, 49, 42, 57, 72, 50, 21, 43, 142, 137, 133, 140, 
##     126, 137, 143, 131, 123, 141, 169, 156, 161, 164, 132, 134, 
##     175, 160, 152, 149, 153, 152, 153, 162, 154, 150, 155, 157, 
##     155, 150, 152, 149, 145, 143, 155, 160, 162, 144, 145, 156, 
##     155, 156, 159, 153, 152, 153, 152, 155, 156, 152, 165, 173, 
##     192, 179, 183, 201, 190, 186, 178, 181, 178, 203, 198, 194, 
##     200, 191, 191, 185, 174, 146, 140, 135, 147, 203, 220, 196, 
##     201, 177, 166, 168, 181, 161, 164, 160, 155, 160, 169, 202, 
##     201, 186, 183, 188, 208, 181, 178, 193, 179, 176, 164, 161, 
##     175, 153, 165, 159, 160, 153, 172, 184, 201, 200, 198, 201, 
##     205, 208, 213, 191, 196, 167, 146, 164, 170, 185, 185, 201, 
##     195, 211, 199, 197, 208, 203, 182, 175, 173, 169, 160, 168, 
##     163, 166, 171, 184, 198, 204, 212, 215, 211, 208, 200, 216, 
##     220, 195, 182, 205, 204, 203, 180, 189, 172, 163, 168, 168, 
##     169, 171, 157, 171, 156, 153, 179, 196, 197, 192, 173, 191, 
##     191, 200, 214, 202, 197, 194, 173, 180, 163, 159, 160, 153, 
##     148, 172, 169, 163, 159, 201, 173, 181, 202, 198, 197, 209, 
##     203, 187, 182, 186, 177, 157, 150, 143, 162, 153, 155, 155, 
##     157, 161, 161, 160, 161, 159, 160, 158, 159, 158, 158, 154, 
##     152, 159, 157, 162, 158, 157, 153, 162, 169, 163, 163, 169, 
##     169, 160, 162, 162, 159, 160, 161, 162, 160, 165, 159, 161, 
##     67, 74, 79, 75, 88, 83, 77, 77, 81, 87, 81, 79, 80, 79, 72, 
##     69, 75, 77, 69, 92, 85, 93, 88, 89, 92, 91, 90, 91, 88, 89, 
##     87, 86, 90, 87, 80, 75, 71, 72, 73, 66, 81, 71, 76, 79, 77, 
##     81, 74, 75, 80, 54, 57, 61, 61, 61, 61, 61, 77, 75, 80, 72, 
##     64, 66, 99, 106, 114, 119, 118, 128, 122, 120, 127, 135, 
##     129, 131, 123, 123, 105, 115, 115, 116, 114, 118, 122, 121, 
##     128, 131, 133, 130, 128, 130, 126, 131, 126, 126, 120, 125, 
##     126, 113, 115, 110, 103, 104, 94, 98, 99, 116, 116, 125, 
##     127, 126, 125, 126, 120, 119, 120, 118, 111, 111, 115, 109, 
##     101, 103, 99, 101, 80, 95, 92, 91, 95, 93, 107, 100, 100, 
##     109, 113, 114, 111, 103, 108, 122, 118, 121, 118, 115, 115, 
##     104, 102, 101, 93, 85, 94, 89, 89, 87, 92, 94, 87, 99, 103, 
##     92, 101, 117, 119, 123, 116, 120, 132, 132, 135, 133, 131, 
##     123, 122, 126, 111, 91, 95, 91, 89, 91, 90, 89, 89, 91, 93, 
##     87, 92, 93, 123, 103, 93, 102, 95, 121, 117, 121, 117, 114, 
##     115, 113, 114, 121, 131, 132, 136, 136, 133, 137, 97, 89, 
##     95, 98, 85, 120, 118, 114, 120, 112, 121, 124, 101, 103, 
##     108, 104, 102, 103, 94, 97, 97, 98, 97, 97, 65, 65, 70, 78, 
##     77, 75, 68, 72, 73, 75, 76, 78, 59, 70, 78, 83, 92, 85, 75, 
##     70, 61, 49, 40, 52, 46, 56, 68, 68, 58, 54, 92, 92, 92, 96, 
##     99, 105, 102, 103, 93, 78, 75, 64, 85, 73, 76, 86, 68, 81, 
##     80, 52, 78, 78, 77, 76, 80, 89, 82, 85, 87, 84, 83, 80, 78, 
##     80, 77, 81, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     1, 3, -42, -4, -5, -11, -10, -4, -19, -16, -18, -18, -23, 
##     -33, -27, -41, -37, -58, -49, -23, -17, 2, -8, -10, -4, -1, 
##     6, 11, 9, 9, 9, 12, 10, 6, 7, 7, 8, 7, 7, 15, 21, 9, 15, 
##     36, 34, 30, 35, 33, 34, 32, 35, 30, 32, 32, 32, 32, 32, 34, 
##     34, 28, 28, 26, 25, 25, 25, 22, 22, 22, 22, 22, 22, 22, 25, 
##     23, 15, 17, 10, 23, 17, 27, 23, 17, 25, 28, 27, 27, 28, 23, 
##     24, 30, 24, 21, 21, 25, 23, 16, 16, 13, 11, 13, 13, 31, 23, 
##     18, 18, 15, 16, 20, 16, 30, 31, 31, 31, 31, 45, 45, 45, 27, 
##     18, 16, 18, 14, 20, 17, -2, 8, 2, 1, -1, -4, 16, 16, 16, 
##     16, 16, 16, 13, 13, 13, 13, 13, 6, 6, 7, 5, 4, 5, 5, 5, 11, 
##     11, 10, 7, 44, 44, 44, 44, 44, 16, 35, 32, 31, 35, 37, 31, 
##     41, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 16, 
##     19, 19, 15, 17, 22, 9, 12, 14, 31, 8, 12, 17, 19, 17, 18, 
##     10, 3, 29, 13, 9, 15, 12, 19, 26, -22, -23, -23, -20, -18, 
##     -18, -20, -8, -12, -2, -5, -9, -14, -16, -16, -16, 171, 168, 
##     161, 166, 168, 166, 166, 167, 168, 163, 161, 181, 172, 167, 
##     160, 172, 167, 158, 160, 164, 178, 185, 179, 174, 204, 188, 
##     157, 181, 184, 185, 189, 188, 203, 210, 190, 209, 210, 210, 
##     222, 204, 188, 194, 193, 188, 171, 176, 180, 170, 157, 163, 
##     168, 190, 83, 73, 81, 90, 88, 79, 56, 50, 42, 17, 6, 2, -5, 
##     -14, -14, -18, -9, -8, -5, -11, 5, 4, 16, 22, 36, 38, 54, 
##     74, 27, 25, 25, 25, 25, 25, 25, 20, 20, 20, 20, 20, 20, 10, 
##     -4, 8, 21, 19, -41, 2, 2, 2, 2, 2, 64, 61, 61, 57, 57, 54, 
##     54, 54, 38, 27, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     -11, -22, -27, -24, -28, -25, -36, -27, -25, -30, -35, -20, 
##     -21, -39, -25, -20, -12, -11, -40, -38, -37, -33, -18, -13, 
##     -3, -2, 0, -18, -3, -2, -6, -7, -19, -6, -14, 4, -6, -5, 
##     -1, 7, 2, 0, -6, -16, 2, 4, 2, 0, 2, -1, 29, 20, 33, 33, 
##     21, 61, 41, 9, -1, 31, 5, 11, 7, 8, 7, 9, 10, 33, 18, 30, 
##     33, 33, 34, 35, 42, 40, 34, 22, 49, 34, 30, 20, 24, 23, 22, 
##     22, 23, 23, 23, 23, 24, 23, 22, 22, 21, 21, 20, 20, 18, 14, 
##     10, 9, 37, 53, 57, 60, 56, 143, 41, 49, 48, 48, 56, 82, 117, 
##     171, 186, 195, 202, 200, 223, 238, 238, 238, 236, 237, 236, 
##     248, 254, 279, 257, 185, 178, 167, 150, 156, 137, 119, 93, 
##     81, 80, 64, 73, 66, 36, 51, 54, 44, 34, 28, 38, 58, 64, 63, 
##     71, 133, 146, 166, 166, 218, 240, 241, 244, 246, 242, 244, 
##     240, 225, 216, 157, 141, 122, 104, 99, 94, 75, 78, 61, 36, 
##     29, 36, 50, 46, 45, 55, 60, 54, 64, 47, 56, 51, 57, 67, 67, 
##     75, 77, 81, 132, 159, 169, 215, 219, 220, 169, 132, 130, 
##     123, 114, 103, 5, 1, 6, -11, -4, 0, 31, 69, 87, 102, 126, 
##     121, 141, 159, 184, 181, 170, 210, 189, 181, 175, 164, 141, 
##     148, 122, 88, 55, 46, 50, 57, 32, 11, -29, -29, -33, -46, 
##     -21, -14, -15, -8, 2, 5, 9, 43, 62, 66, 81, 117, 128, 141, 
##     189, 193, 157, 130, 128, 158, 149, 158, 141, 139, 120, 47, 
##     45, 55, 39, -5, -16, -45, -75, -52, -44, -49, -51, -50, -51, 
##     -18, 58, 129, 134, 142, 138, 153, 172, 171, 127, 135, 195, 
##     198, 195, 156, 156, 151, 157, 136, 113, 112, 87, 111, 115, 
##     181, 150, 155, 135, 117, 53, -70, -44, -18, 15, 37, 71, 105, 
##     129, 137, 151, 160, 180, 170, 142, 138, 129, 112, 143, 175, 
##     154, 146, 133, 110, 50, 4, -23, -28, -46, -70, -70, -59, 
##     -59, -53, -53, -53, -50, -46, -46, -38, -26, 97, 52, 33, 
##     26, 2, -4, -3, -12, -16, -8, -10, -33, -26, -25, -31, -2, 
##     19, 41, 65, 78, 79, 90, 123, 131, 111, 103, 79, 34, 29, -10, 
##     -14, -14, 11, -25, -8, 14, 33, 36, 54, 61, 84, 106, 101, 
##     116, 122, 125, 110, 108, 103, 81, 77, 74, 52, 40, 34, 51, 
##     55, 0, 4, 12, -20, -27, -32, -35, -41, -23, 0, 36, 39, 43, 
##     55, 63, 79, 90, 118, 130, 113, 174, 174, 173, 129, 131, 123, 
##     112, 107, 88, 94, 98, 79, 71, 70, 35, 19, 7, 23, 9, 6, 9, 
##     -23, -19, 9, -3, 1, 1, 0, -1, 1, -1, -7, -3, -1, 4, -2, 3, 
##     -6, -7, -9, -9, -31, -31, -40, -47, -38, -40, -47, -50, -49, 
##     -49, -45, -40, -28, -32, -35, -36, -22, -32, -22, -25, -32, 
##     -32, -31, -42, -41, -43, -41, -32, -20, -23, -53, -32, -31, 
##     -37, -14, -32, -25, -22, -14, -18, -28, -17, -18, -23, -34, 
##     -37, -25, -29, -18, -25, -20, -19, -40, -54, -43, -39, -17, 
##     -35, -37, -37, -32, -22, -31, -21, -11, -24, -17, -25, -25, 
##     -20, -28, -38, -26, -37, -27, -34, -28, -14, -14, -39, -47, 
##     -39, -44, -33, -26, -27, -25, -10, -17, -14, -16, -37, -40, 
##     2, -16, 29, 31, 17, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, -3, 
##     -26, -26, -26, -26, -26, -35, -35, -41, -38, -38, -46, -72, 
##     -56, -68, -70, -83, -81, -81, -64, -60, -61, -58, -28, -90, 
##     -31, -12, -11, -13, -17, -2, 2, 6, 18, 16, 42, 37, 26, 35, 
##     31, 25, 23, 17, 15, 13, 10, 2, -1, -9, -24, -41, -39, -49, 
##     -43, -43, -65, -56, -72, -77, -69, -72, -79, -66, -58, -66, 
##     -44, -47, -63, -1, -9, -17, 1, 22, 15, 17, 31, 33, 50, 24, 
##     27, 34, 32, 22, 16, 0, -1, 0, -11, -17, -32, -55, -65, -103, 
##     -100, -108, -107, -110, -122, -101, -75, -45, -32, -33, -31, 
##     -17, 8, 18, -25, 8, 18, 24, 22, 34, 39, 34, 36, 28, 23, 14, 
##     -53, -48, -64, -65, -73, -89, -77, -105, -96, -106, -104, 
##     -100, -61, -87, -74, -23, -14, -1, 12, 10, 22, 15, 9, 40, 
##     46, 61, 37, 28, 15, 16, 9, 3, -1, -5, -52, -52, -56, -63, 
##     -96, -113, -119, -117, -138, -129, -137, -118, -113, -108, 
##     -93, -68, -37, -25, -37, -6, 2, 4, 22, 33, 32, 24, 23, 21, 
##     16, 49, 32, 25, 22, 25, 6, -12, -18, -17, -25, -33, -34, 
##     -45, -41, -43, -49, -48, -56, -93, -98, -95, -88, -89, -103, 
##     -6, -2, 4, 12, 12, 12, 19, 35, 40, 38, 40, 39, 31, 24, 19, 
##     16, 8, -11, -7, -4, -32, -62, -58, -78, -71, -61, -84, -104, 
##     -89, -100, -101, -100, -91, -99, -75, -68, -71, -72, -71, 
##     -72, -15, -13, -21, -7, -5, -6, 13, 26, 35, 36, 51, 31, 35, 
##     36, 33, 28, 22, 18, 8, -28, -20, -30, -27, -27, -41, -48, 
##     -53, -59, -114, -114, -74, -77, -64, -71, -49, -44, -58, 
##     -51, -36, -28, 4, 3, -9, -9, -14, 5, 33, 25, 15, 20, 58, 
##     53, 50, 30, 21, 18, 8, 3, 2, -2, -24, -39, -38, -38, -42, 
##     -47, -93, -77, -44, -25, -71, -89, -83, -80, -75, -65, -66, 
##     -62, -60, -71, -61, -71, -79, -74, -72, -86, -89, -82, -79, 
##     -83, -63, -90, -89, -60, -44, -31, -15, -45, -47, -59, -58, 
##     -54, -58, -55, -55, -56, -56, 18, 16, 18, 14, 15, 11, 17, 
##     17, 27, 34, 35, 31, 43, 68, 62, 54, 80, 105, 108, 94, 84, 
##     76, 72, 71, 69, 55, 51, 50, 46, 27, 31, 62, 63, 63, 70, 92, 
##     93, 97, 101, 106, 103, 70, 64, 55, 45, 36, 32, 28, 30, 60, 
##     49, 32, 26, 33, 62, 87, 91, 95, 92, 115, 115, 98, 98, 92, 
##     89, 81, 78, 71, 63, 57, 64, 64, 53, 47, 54, 35, 34, 40, 45, 
##     51, 64, 98, 95, 94, 94, 93, 125, 124, 101, 102, 81, 70, 59, 
##     67, 52, 62, 58, 41, 38, 42, 36, 27, 61, 75, 84, 83, 92, 100, 
##     91, 84, 89, 102, 111, 103, 102, 97, 78, 57, 47, 41, 43, 31, 
##     26, 21, 27, 33, 38, 51, 58, 69, 94, 86, 89, 103, 104, 105, 
##     91, 97, 99, 97, 93, 88, 84, 76, 58, 63, 62, 57, 46, 34, 38, 
##     33, 25, 35, 33, 44, 52, 58, 75, 98, 99, 69, 70, 80, 86, 85, 
##     88, 88, 93, 100, 119, 122, 107, 93, 93, 94, 89, 58, 61, 63, 
##     65, 60, 61, 44, 45, 40, 32, 33, 40, 42, 48, 52, 60, 71, 75, 
##     83, 86, 89, 90, 93, 124, 124, 99, 96, 104, 94, 84, 68, 80, 
##     60, 53, 45, 55, 43, 46, 39, 39, 36, 36, 34, 34, 30, 24, 23, 
##     23, 23, 23, 23, 23, 23, 23, 23, 21, 27, 22, 47, 47, 32, 32, 
##     24, 29, 29, 29, 23, 23, 22, 23, 21, 24, 22, 22, 23, 23, 24, 
##     24, 24, 160, 161, 159, 157, 155, 153, 148, 152, 150, 149, 
##     162, 166, 166, 161, 160, 159, 151, 148, 146, 150, 148, 143, 
##     148, 144, 149, 144, 134, 138, 147, 145, 139, 151, 144, 146, 
##     142, 146, 145, 145, 144, 145, 144, 143, 144, 149, 146, 146, 
##     150, 148, 150, 150, 150, 149, 145, 149, 150, 149, 153, 152, 
##     149, 147, 152, 145, 135, 146, 148, 151, 132, 135, 135, 137, 
##     142, 143, 135, 138, 130, 139, 137, 134, 128, 122, 108, 135, 
##     178, 183, 168, 188, 187, 221, 219, 228, 183, 182, 173, 233, 
##     229, 243, 262, 271, 277, 199, 193, 165, 164, 58, 91, 128, 
##     100, 116, 151, 179, 196, 224, 196, 276, 243, 264, 264, 183, 
##     182, 151, 127, 113, 156, 195, 134, 127, 148, 190, 201, 204, 
##     202, 211, 218, 243, 197, 198, 238, 219, 201, 192, 179, 165, 
##     167, 181, 190, 47, 40, 77, 79, 135, 181, 197, 178, 110, 172, 
##     203, 203, 197, 217, 211, 193, 238, 254, 176, 181, 152, 136, 
##     158, 97, 120, 163, 141, 139, 173, 182, 186, 200, 199, 237, 
##     249, 233, 207, 188, 228, 235, 215, 219, 233, 235, 234, 223, 
##     203, 195, 172, 156, 187, 99, 106, 178, 183, 124, 152, 152, 
##     183, 201, 203, 199, 186, 187, 204, 216, 216, 183, 201, 206, 
##     246, 209, 202, 188, 132, 217, 242, 226, 216, 203, 198, 181, 
##     178, 209, 176, 104, 86, 101, 156, 137, 136, 135, 144, 219, 
##     216, 242, 249, 256, 247, 217, 204, 161, 91, 90, 90, 88, 89, 
##     91, 94, 96, 100, 110, 124, 119, 119, 120, 120, 117, 125, 
##     120, 127, 130, 131, 134, 129, 132, 126, 122, 117, 121, 121, 
##     113, 109, 102, 102, 99, 96, 90, 90, 93, 96, 89, 82, 91, 91, 
##     89, 87, 87, 88, 89, 93, 87, 89, 117, 114, 114, 114, 122, 
##     127, 130, 131, 134, 135, 132, 130, 134, 122, 119, 118, 121, 
##     114, 112, 117, 97, 91, 93, 98, 94, 87, 89, 92, 91, 88, 112, 
##     118, 113, 121, 127, 119, 124, 144, 143, 130, 126, 128, 134, 
##     121, 126, 121, 115, 101, 112, 103, 106, 100, 102, 99, 98, 
##     96, 100, 100, 98, 99, 96, 96, 100, 100, 101, 103, 115, 117, 
##     122, 138, 137, 150, 151, 152, 150, 152, 155, 168, 167, 163, 
##     172, 178, 172, 162, 159, 149, 145, 142, 140, 133, 132, 138, 
##     132, 104, 94, 82, 88, 38, 39, 36, 53, 60, 70, 77, 73, 87, 
##     91, 96, 106, 106, 108, 107, 94, 98, 103, 90, 90, 60, 49, 
##     60, 40, 34, 38, 42, 41, 40, 35, 32, 32, 33, 41, 39, 53, 48, 
##     53, 55, 98, 112, 148, 158, 177, 197, 206, 208, 230, 231, 
##     248, 123, 108, 106, 106, 94, 92, 89, 84, 53, 37, 34, 41, 
##     56, 66, 69, 67, 55, 49, 50, 70, 70, 82, 144, 154, 164, 172, 
##     184, 216, 222, 219, 258, 256, 258, 257, 253, 256, 277, 281, 
##     283, 273, 267, 205, 192, 203, 148, 149, 124, 115, 103, 91, 
##     80, 89, 82, 69, 42, 70, 73, 48, 54, 56, 54, 49, 81, 247, 
##     242, 242, 245, 224, 117, 92, 84, 86, 140, 148, 155, 167, 
##     178, 182, 197, 200, 226, 232, 273, 263, 261, 264, 270, 270, 
##     268, 268, 253, 217, 191, 180, 174, 158, 153, 131, 85, 82, 
##     78, 80, 81, 73, 76, 73, 72, 67, 63, 45, 32, -172, -172, -167, 
##     -165, -71, -62, -78, -32, -58, -84, 8, -24, 10, -29, -34, 
##     -49, -98, -52, -11, 12, -33, -13, -9, -39, -1, -7, -54, -67, 
##     -78, -78, -83, -83, -108, -120, -145, -98, -120, -104, -43, 
##     -71, -94, -115, -46, -76, -62, -14, -30, -1, -2, -3, -13, 
##     9, 3, 15, 11, -19, -19, -28, -31, -55, -69, -121, -93, -95, 
##     -91, -75, -101, -137, -124, -149, -139, -77, -80, -68, -91, 
##     -63, -131, -136, -142, -135, -147, -150, -174, -108, -68, 
##     -68, -9, -65, -93, -65, -104, -121, -93, -37, -2, -54, -68, 
##     -116, -143, -176, -161, -182, -93, -69, -40, -53, -45, -81, 
##     -18, -46, -97, -48, -28, 7, -12, -10, 1, -40, 5, -45, -44, 
##     -66, -69, -10, 14, -102, -111, -93, -91, -64, -77, -79, -93, 
##     -86, -129, -129, -106, -117, -85, -99, -88, -27, -82, -55, 
##     -37, -18, 43, 43, -40, 189, 192, 123, 134, 125, 131, 135, 
##     141, 126, 123, 137, 156, 158, 142, 136, 142, 142, 129, 143, 
##     153, 143, 147, 147, 148, 148, 147, 144, 146, 142, -125, -124, 
##     -107, -86, -121, -74, -64, -67, -60, -69, -71, -65, -59, 
##     -37, -58, -43, -24, 162, 122, 112, 133, 124, 137, 135, 120, 
##     139, 137, 146, 188, 214, 215, 224, 232, 200, 265, 252, 247, 
##     217, 231, 228, 225, 175, 151, 159, 154, 164, 139, 146, 234, 
##     249, 215, 214, 161, 179, 169, 153, 177, 151, 110, 161, 151, 
##     157, 134, 128, 176, 172, 185, 145, 143, 142, 139, 143, 140, 
##     143, 148, 140, 145, 146, 148, 147, 142, 29, 24, 25, 20, 25, 
##     25, 25, 25, 25, 25, 25, 25, 26, 26, 110, 107, 95, 78, 55, 
##     60, 48, 45, 46, 45, 51, 48, 40, 49, 53, 53, 53, 57, 66, 92, 
##     92, 98, 97, 86, 96, 106, 112, 101, 67, -50, -87, -67, -71, 
##     -101, -100, -139, -135, -83, -79, -37, -52, -75, -63, -58, 
##     -32, -8, 46, 14, -53, 20, 8, -8, -19, -12, -7, -10, -3, -51, 
##     -69, -56, -29, -89, -8, -9, -24, -44, -35, -21, -26, -23, 
##     -54, -108, -104, -107, -118, -99, -83, -127, -108, -111, 
##     -123, -39, -35, -156, -176, -130, -92, -42, -74, -66, -18, 
##     10, -4, 13, 3, 11, -16, -21, -31, -120, -153, -189, -181, 
##     -43, -29, -29, -41, -2, 2, 25, 32, 72, 104, 106, 108, 111, 
##     142, 113, 109, 91, 88, 84, 58, 61, 24, 22, -38, -4, -6, -6, 
##     -8, 53, 65, 79, 84, 96, 119, 139, 159, 180, 177, 163, 152, 
##     145, 116, 74, 60, 18, 26, 18, 18, 1, -32, -13, -17, -25, 
##     -26, -25, -23, -3, 46, 61, 68, 100, 129, 125, 116, 231, 253, 
##     236, 241, 237, 243, 200, 99, 99, 92, 87, 67, 58, 70, 66, 
##     62, 42, 38), accel_dumbbell_z = c(-270, -269, -269, -270, 
##     -269, -270, -269, -272, -268, -271, -272, -269, -270, -271, 
##     -271, -270, -270, -269, -272, -271, -270, -270, -271, -271, 
##     -269, -270, -272, -269, -269, -268, -268, -266, -270, -269, 
##     -269, -270, -270, -269, -270, -271, -268, -268, -269, -267, 
##     -272, -269, -270, -270, -268, -269, -271, -270, -271, -270, 
##     -270, -271, -270, -270, -269, -272, -271, -271, -270, -273, 
##     -272, -271, -270, -270, -272, -271, -270, -272, -269, -272, 
##     -272, -271, -270, -270, -271, -270, -272, -272, -272, -272, 
##     -272, -272, -272, -272, -272, -272, -272, -272, -272, -272, 
##     -26, -26, -25, -18, -19, -26, -26, 13, 22, 37, 75, 73, 79, 
##     87, 72, 110, 110, 81, 88, 93, 101, 85, 86, 87, 86, 88, 86, 
##     87, 96, 98, 99, 94, 93, 95, 102, 100, 99, 102, 98, 101, 96, 
##     92, 90, 93, 94, 93, 94, 96, 99, 96, 98, 100, 97, 100, 98, 
##     101, 97, 99, 99, 101, 99, 95, 102, 100, 99, 98, 97, 99, 98, 
##     98, 97, 95, 97, 97, 96, 97, 96, 95, 93, 93, 98, 92, 96, 96, 
##     96, 98, 97, 99, 89, 95, 96, 94, 92, 95, 100, 86, 85, 86, 
##     76, 77, 65, 71, 66, 52, 54, 60, 63, 71, 75, 67, 82, 80, 85, 
##     89, 94, 79, 90, 85, 82, 80, 86, 90, 96, 98, 99, 99, 93, 96, 
##     96, 99, 98, 96, 103, 93, 98, 90, 90, 82, 87, 90, 83, 70, 
##     78, 76, 76, 94, 81, 88, 94, 93, 94, 91, 80, 76, 68, 56, 57, 
##     57, 48, 59, 61, 65, 67, 71, 78, 79, 75, 87, 89, 89, 92, 93, 
##     79, 85, 96, 96, 74, 79, 88, 84, 89, 87, 91, 95, 91, 91, 88, 
##     92, 92, 80, 75, 65, 51, 49, 45, 46, 50, 43, 51, 51, 44, 57, 
##     79, 71, 76, 73, 91, 94, 92, 93, 87, 91, 91, 89, 91, 90, 68, 
##     53, 54, 53, 54, 51, 43, 44, 66, 69, 67, 83, 80, 76, 79, 84, 
##     82, 82, 92, 91, 84, 79, 90, 84, 77, 83, 91, 91, 90, 90, 91, 
##     92, 93, 88, 96, 92, 90, 90, 85, 85, 76, 69, 65, 66, 59, 63, 
##     58, 56, 72, 84, 71, 78, 81, 77, 88, 73, 73, 70, 64, 50, 51, 
##     42, 49, 56, 57, 78, 79, 65, 83, 75, 80, 75, 74, 70, 82, 95, 
##     82, 90, 84, 79, 77, 55, 62, 84, 79, 78, 84, 81, 52, 51, 47, 
##     56, 50, 78, 52, 70, 77, 62, 84, 63, 87, 72, 77, 83, 79, 79, 
##     85, -152, -151, -152, -152, -149, -148, -155, -152, -152, 
##     -154, -156, -155, -154, -152, -152, -155, -157, -157, -157, 
##     -157, -157, -155, -156, -153, -152, -156, -160, -160, -161, 
##     -165, -158, -164, -161, -161, -168, -162, -167, -166, -163, 
##     -164, -168, -167, -169, -164, -166, -165, -160, -164, -162, 
##     -163, -158, -161, -159, -156, -154, -160, -152, -155, -154, 
##     -158, -157, -156, -159, -155, -155, -155, -153, -158, -153, 
##     -154, -157, -153, -157, -156, -156, -152, -152, -155, -153, 
##     -152, -148, -149, -148, -151, -153, -149, -155, -150, -150, 
##     -154, -153, -152, -152, -157, -158, -158, -153, -156, -155, 
##     -154, -153, -158, -155, -153, -159, -157, -155, -155, -158, 
##     -151, -157, -152, -158, -155, -154, -155, -152, -154, -157, 
##     -151, -154, -160, -157, -152, -150, -159, -157, -156, -153, 
##     -152, -148, -147, -148, -154, -3, 2, 6, 13, 15, 22, 23, 25, 
##     22, 38, 16, 25, 25, -147, -151, -151, -148, -152, -157, -147, 
##     -147, -146, -145, -148, -143, -146, -149, -153, -153, -158, 
##     -155, -159, -157, -154, -153, -158, -159, -149, -151, -148, 
##     -147, -147, -149, -146, -152, -149, -149, -158, -155, -158, 
##     -158, -164, -166, -168, -168, -168, -168, -161, -162, -164, 
##     -165, -164, -170, -169, -166, -165, -169, -157, -146, -146, 
##     -148, -145, -144, -134, -135, -139, -145, -145, -144, -140, 
##     -138, -137, -138, -137, -138, -141, -136, -137, -138, -140, 
##     -144, -148, -147, -157, -151, -147, -150, -147, -148, -152, 
##     -145, -146, -153, -146, -146, -148, -148, -148, -149, -147, 
##     -145, -145, -146, -145, -145, -146, -149, -146, -152, -153, 
##     -146, -147, -146, -147, -148, -148, -147, -143, -143, -140, 
##     -145, -141, -139, -138, -131, -142, -139, -151, -137, -129, 
##     -138, -107, -139, -126, -124, -121, -124, -120, -121, -117, 
##     -115, -122, -126, -122, -133, -133, -128, -128, -119, -121, 
##     -120, -141, -143, -146, -157, -157, -163, -168, -170, -168, 
##     -165, -148, -146, -136, -131, -130, -141, -137, -127, -133, 
##     -131, -134, -123, -121, -129, -133, -124, -127, -122, -118, 
##     -126, -129, -124, -113, -116, -116, -114, -121, -118, -125, 
##     -128, -129, -134, -130, -124, -135, -137, -142, -144, -150, 
##     -158, -164, -160, -164, -167, -169, -170, -141, -129, -133, 
##     -125, -127, -127, -127, -125, -119, -122, -117, -114, -118, 
##     -116, -119, -124, -122, -115, -131, -120, -128, -144, -144, 
##     -149, -160, -164, -171, -174, -173, -169, -171, -160, -158, 
##     -162, -147, -147, -140, -134, -142, -139, -119, -124, -131, 
##     -120, -112, -113, -117, -124, -119, -115, -128, -120, -127, 
##     -124, -128, -123, -117, -124, -130, -128, -135, -138, -136, 
##     -132, -143, -147, -152, -148, -154, -165, -159, -162, -165, 
##     -165, -164, -164, -167, -166, -165, -166, -164, -148, -140, 
##     -145, -143, -131, -141, -128, -139, -137, -120, -130, -133, 
##     -126, -125, -123, -124, -127, -120, -123, -124, -125, -118, 
##     -126, -125, -134, -139, -146, -142, -143, -147, -148, -160, 
##     -162, -164, -163, -162, -136, -122, -123, -123, -120, -121, 
##     -118, -122, -126, -121, -122, -129, -124, -140, -141, -147, 
##     -142, -160, -159, -156, -156, -162, -154, -153, -161, -167, 
##     -164, -167, -160, -166, -162, -159, -146, -145, -145, -138, 
##     -142, -142, -136, -141, -129, -136, -130, -134, -132, -138, 
##     -128, -118, -124, -131, -130, -127, -129, -123, -126, -137, 
##     -135, -128, -126, -126, -162, -158, -158, -155, -158, -155, 
##     -150, -155, -143, -139, -139, -137, -144, -147, -139, -144, 
##     -131, -138, -127, -141, -126, -127, -132, 301, 301, 301, 
##     301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 
##     301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 
##     301, 301, 301, 301, 301, 301, 301, 301, 301, 301, -9, -15, 
##     -18, -35, -37, -36, -10, -25, -28, -18, -18, -10, -11, -7, 
##     -14, -3, -14, -2, -20, -8, 5, -11, -7, -3, -7, -1, 4, 6, 
##     4, 3, 1, 1, 0, 3, -3, -1, -11, 3, 5, 5, 3, 6, 3, 2, -3, 4, 
##     5, -1, 4, 5, -2, -1, 1, 10, 3, 4, 8, 10, 8, 19, 7, -13, 5, 
##     4, 15, 0, -9, -3, 12, -4, -5, 3, 0, -1, 1, 2, 3, 5, 5, 5, 
##     0, 1, 4, 2, 8, 8, 8, 9, 11, 8, 12, 5, 8, 2, 6, -2, 0, 7, 
##     10, 4, 13, 11, 11, 12, 10, 7, 8, 9, 4, 6, -2, 2, 2, 16, 5, 
##     5, 8, 3, 1, 5, 6, 11, 6, 8, 12, 6, 17, 18, 15, 15, 22, 17, 
##     5, 11, 10, 5, 8, 8, 10, 7, 3, 3, 6, 9, 12, 7, 6, 9, 6, 7, 
##     10, 7, 8, -5, 3, 14, 21, 15, 18, 34, 24, 13, 15, 9, -12, 
##     -9, 19, 19, 22, 23, 26, 15, 12, 12, 14, 20, 16, 15, 12, 10, 
##     12, 13, 10, 7, 13, 9, 5, 10, 20, 16, 9, 10, 8, 9, 9, 13, 
##     8, 14, 9, 35, 35, 27, 22, 22, 23, 28, 13, 13, 35, 20, 20, 
##     21, 27, 21, 19, 16, 15, 13, 22, 28, 16, 9, 10, 12, 10, 9, 
##     12, 13, 10, 6, 7, 9, 16, 21, 24, 23, 13, 14, 8, 13, 9, 14, 
##     25, 25, 24, 22, 9, 2, 6, 3, -2, -5, 8, 6, 0, -1, -9, -4, 
##     -2, 4, -1, -2, -4, 0, 2, -2, -1, 1, 0, 0, 0, 0, -2, -2, -2, 
##     -3, -2, -4, -7, -2, 0, -1, 0, -1, -2, -5, -4, -1, 1, -4, 
##     -6, -7, -8, -14, -6, -9, -14, -14, -14, 10, 37, 42, 50, 74, 
##     79, 79, 87, 85, 87, 82, 93, 87, 79, 92, 71, 61, 28, 25, 19, 
##     -17, -13, -30, -14, -5, -11, -20, -17, -26, -23, -26, -6, 
##     -5, 13, 20, 70, 77, -225, -225, -225, -225, -225, -226, -224, 
##     -223, -225, -224, -223, -222, -224, -226, -225, -222, -224, 
##     -225, -225, -226, -222, -225, -223, -224, -222, -224, -225, 
##     -222, -223, -225, -223, -223, -220, -218, -221, -225, -224, 
##     -223, -225, -224, -224, -223, -223, -225, -228, -226, -223, 
##     -220, -224, -224, -227, -223, -225, -225, -225, -225, -224, 
##     -226, -226, -224, -220, -223, -223, -226, -225, -223, -224, 
##     -225, -224, -224, -224, -221, -224, -224, -225, -223, -222, 
##     -221, -222, -224, -224, -222, -224, -222, -225, -223, -224, 
##     -224, -222, -222, -225, -225, -223, -224, -223, -224, -223, 
##     -225, -225, -220, -221, -221, -222, -221, -221, -220, -221, 
##     -220, -222, -220, -220, -222, -223, -224, -227, -223, -219, 
##     -212, -217, -222, -220, -216, -218, -220, -219, -217, -219, 
##     -216, -215, -221, -222, -223, -222, -209, -201, -200, -206, 
##     -222, -217, -221, -216, -217, -214, -198, -201, -220, -218, 
##     -215, -204, -209, -192, -201, -202, -202, -206, -205, -204, 
##     -201, -200, -205, -209, -203, -202, -204, -202, -205, -201, 
##     -200, -202, -200, -205, -202, -200, -203, -204, -203, -197, 
##     -207, -208, -198, -202, -203, -202, -197, -199, -201, -202, 
##     -200, -199, -200, -201, -201, -203, -202, -200, -202, -203, 
##     -203, -203, -201, -202, -200, -201, -202, -201, -202, -197, 
##     -197, -202, -198, -199, -202, -11, -17, -12, -8, -8, -9, 
##     -6, 3, 4, 1, 15, 13, 7, 23, 19, 23, 11, 8, 13, 7, 10, 6, 
##     12, 13, 14, 12, 14, 12, 10, 11, 8, 9, 13, 8, 7, 17, 14, 14, 
##     12, 3, 8, 8, 8, 11, 7, -3, -2, -4, -9, -5, 3, 0, -1, 10, 
##     10, 12, 11, 10, 13, 23, 18, 14, 23, 24, 21, 19, 18, 16, 18, 
##     16, 20, 15, 9, 17, 14, 10, 12, 13, 21, 20, 22, 17, 22, 10, 
##     9, 3, -6, -3, -1, 2, 18, 24, 9, 12, 15, 23, 22, 10, 19, 12, 
##     19, 20, 12, 12, 15, 19, 17, 22, 21, 14, 13, 12, 21, 20, 19, 
##     23, 19, 17, 7, 18, -5, -14, -3, -5, 0, -11, -6, 2, 8, 9, 
##     13, 14, 16, 17, 13, 31, 18, 25, 9, 19, 21, 8, 24, -1, 3, 
##     13, 23, 23, 22, 26, 22, 18, 21, 23, 22, 14, 12, 6, 2, 2, 
##     -9, -7, 6, 20, 9, 25, 8, 8, 15, 10, 3, 8, 2, 24, 9, 13, 18, 
##     9, 11, 9, 7, 18, 18, 18, 20, 17, 12, 15, 10, 12, 5, 0, 4, 
##     -5, -10, -15, -14, -11, -1, 6, 4, 15, 5, 7, -4, 10, 15, 11, 
##     17, 5, 14, 10, 5, 15, 20, 16, 14, 13, 7, 9, 5, 8, 1, 5, 4, 
##     -1, -16, -16, -20, -17, -7, 8, 1, 14, 5, 3, 8, 8, 10, 11, 
##     14, 7, 8, 7, 9, 14, 12, 5, 11, 10, 12, 13, 10, 7, 9, 2, -3, 
##     -17, -22, -6, 18, 14, 11, 14, 17, 7, 5, 4, 5, 2, -1, -4, 
##     -6, -16, -15, -14, -16, -13, 5, 0, 2, 10, 9, 12, 22, 17, 
##     21, 7, 6, 16, 6, 8, 3, 11, 7, 11, 7, 19, 17, 11, 15, 16, 
##     20, 20, 11, 9, 18, 15, 10, 8, 1, 0, -5, -15, -5, -11, -11, 
##     -5, 3, 1, 3, 23, 11, 21, 16, 19, 26, 14, 12, 22, 17, 13, 
##     13, 17, 16, 20, 19, 19, 19, 18, 20, 15, 20, 18, 18, 17, 16, 
##     16, 16, 18, 13, 16, 16, 18, 15, 16, 16, 17, 17, 16, 12, 14, 
##     17, 14, 13, 13, 14, 15, 15, 12, 15, 12, 13, 13, 18, -204, 
##     -200, -208, -204, -198, -196, -201, -207, -209, -208, -205, 
##     -195, -209, -208, -203, -201, -196, -206, -208, -210, -209, 
##     -203, -200, -202, -208, -201, -201, -202, -202, -202, -202, 
##     -203, -202, -204, -201, -201, -201, -201, -203, -201, -202, 
##     -201, -201, -201, -200, -202, -201, -201, -201, -202, -202, 
##     -197, -201, -206, -208, -209, -198, -200, -199, -201, -202, 
##     -202, -201, -200, -199, -200, -201, -201, -201, -201, -201, 
##     -200, -200, -200, -203, -200, -200, -200, -201, -200, -200, 
##     -201, -201, -200, -201, -202, -199, -201, -201, -197, -201, 
##     -204, -201, -203, -202, -200, -198, -195, -196, -196, -199, 
##     -199, -200, -198, -198, -198, -200, -202, -203, -205, -205, 
##     -198, -190, -200, -203, -199, -200, -201, -198, -205, -202, 
##     -201, -201, -197, -197, -200, -211, -207, -203, -202, -203, 
##     -202, -203, -204, -204, -204, -200, -179, -186, -223, -213, 
##     -196, -213, -204, -202, -205, -203, -203, -203, -202, -207, 
##     -202, -202, -204, -202, -203, -204, -202, -205, -202, -203, 
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##     10, 10, 18, 22, 16, 21, 18, 17, 32, 27, 19, 26, 25, 29, 27, 
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##     -139, -133, -129, -141, -139, -134, -130, -126, -122, -132, 
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##     10, 10, 8, 13, 21, 20, 23, 24, 22, 24, 27, 28, 29, 31, 29, 
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##     -202, -202, -205, -200, -201, -201, -205, -207, -210, 28, 
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##     11, 11, 11, 7, 7, 6, 4, 2, 10, 3, 6, 7, 11, 17, 17, 12, 8, 
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##     318, 314, 315, 316, 316, 316, 318, 317, 317, 317, 316, 317, 
##     317, 317, 317, 318, 316, 314, 315, 315, 317, 316, 316, 314, 
##     316, 317, 315, 315, 317, 78, 82, 83, 80, 80, 86, 85, 87, 
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##     90, 82, 92, 82, 72, 64, 62, 60, 63, 75, 69, 87, 83, 89, 94, 
##     83, 87, 22, 14, 7, 10, 24, -1, 18, 11, 5, 9, 14, 18, 14, 
##     10, 11, 11, 10, 13, 83, 79, 81, 82, 85, 77, 85, 81, 83, 83, 
##     81, 78, 64, 60, 32, 40, 41, 60, 61, 66, 71, 77, 89, 76, 80, 
##     82, 83, 81, 79, 82, 86, 87, 87, 86, 88, 92, 86, 88, 88, 88, 
##     90, 90, 88, 91, 92, 89, 90, 88, 59, 58, 41, 49, 31, 37, 42, 
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##     69, 75, 98, 90, 88, 78, 85, 87, 94, 90, 90, 91, 85, 72, 53, 
##     42, 53, 34, 25, 34, 36, 42, 48, 55, 66, 73, 67, 72, 68, 80, 
##     85, 83, 69, 66, 85, 78, 88, 79, 66, 64, 88, 75, 76, 51, 38, 
##     34, 34, 33, 48, 73, 80, 65, 91, 63, 63, 66, 89, 82, 83, 88, 
##     91, 88, 89, 89, 69, 56, 57, 51, 43, 33, 68, 73, 79, 87, 63, 
##     71, 75, 81, 74, 75, 61, 64, 54, 39, 37, 36, 37, 22, 40, 46, 
##     67, 41, 59, 44, 60, 56, 67, 45, 70, 73, 72, 67, 73, 68, 74, 
##     84, 81, 68, 79, 78, 42, 13, 42, 29, 34, 34, 28, 56, 57, 42, 
##     68, 77, 71, 81, 36, 58, 51, 45, 57, 46, 67, 100, 100, 87, 
##     69, 64, 105, 94, 91, 79, 66, 72, 78, 79, 91, 88, 91, 80, 
##     93, 90, 75, 66, 72, 78, 20, 27, 26, 29, 36, 58, 69, 62, 64, 
##     55, 76, 50, 79, 86, 84, 76, 89, 85, 71, 80, 70, 83, 80, 75, 
##     15, 106, 96, 95, 93, 91, 102, 91, 98, 99, 105, 106, 101, 
##     100, 104, 110, 107, 100, 96, 93, 91, 89, 91, 110, 113, 112, 
##     109, 110, 111, 106, 102, 99, 92, 80, 73, 75, 71, 71, 74, 
##     65, 37, 29, 19, 18, 16, -2, -3, -11, -8, -9, -12, -13, -19, 
##     -17, -15, -25, 9, 18, 27, 38, 43, 60, 75, 93, 105, 116, 112, 
##     103, 103, 101, 91, 101, 99, 104, 107, 97, 104, 110, 92, 95, 
##     96, 96, 97, 103, 115, 107, 101, -2, 15, 60, 69, 91, 98, 103, 
##     101, 103, 108, 102, 112, 113, 99, 103, 102, 102, 101, 106, 
##     87, 97, 105, 104, 112, 107, 109, 96, 95, 87, 77, 73, 59, 
##     63, 37, 23, 23, 23, 12, 10, -10, -13, -11, -9, -12, -15, 
##     -16, 12, 27, 51, 100, 110, 105, 94, 108, 102, 108, 107, 103, 
##     97, 95, 91, 85, 59, 54, 50, -15, -1, 2, -12, -8, -4, -5, 
##     -7, -4, -21, -15, 13, 16, 54, 77, 91, 101, 113, 115, 117, 
##     106, 108, 108, 112, 104, 93, 94, 95, 107, 103, 104, 109, 
##     99, 74, 64, 55, 49, 25, -11, 5, -1, -19, -4, 1, -15, -7, 
##     -5, -9, 31, 34, 51, 84, 103, 109, 117, 124, 118, 113, 103, 
##     104, 103, 105, 101, 78, 66, 69, 70, 57, 55, 48, 43, -16, 
##     -20, -24, -16, -12, -11, -13, -18, 15, 112, 111, 77, 73, 
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##     8, -6, -14, -13, -11, 1, 102, 129, 121, 113, 103, 124, 111, 
##     108, 91, 107, 105, 102, 105, 118, 119, 101, 98, 85, 77, 70, 
##     55, 64, 13, 15, 18, 11, 18, 9, 9, 17, 9, 9, 11, 9, 8, 20, 
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##     -2, -7, -3, 1, -8, -3, 1, 14, 11, 8, 15, 23, 16, 12, 12, 
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##     -5, -1, 10, 6, 0, 16, 20, 14, 27, 16, 20, 20, 24, 37, 23, 
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##     -136, -138, -132, -122, -119, -97, -92, -94, -96, -93, -89, 
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##     -123, -119, -108, -95, -87, -87, -98, -96, -90, -91, -83, 
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##     -127, -119, -131, -134, -131, -134, -122, -126, -104, -113, 
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##     -124, -125, -122, -127, -127, -132, -120, -106, -102, -93, 
##     -88, -102, -108, -101, -102, -95, -86, -86, -84, -83, -85, 
##     -86, -86, -90, -88, -90, -89, -105, -100, -89, -84, -91, 
##     -118, -133, -142, -139, -138, -140, -144, -132, -150, -143, 
##     -139, -141, -137, -141, -144, -144, -147, -159, -141, -139, 
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##     -99, -97, -92, -94, -91, -85, -85, -86, -82, -84, -85, -86, 
##     -86, -88, -86, -88, -94, -108, -109, -104, -86, -88, -90, 
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##     -124, -115, -120, -107, -108, -115, -76, -74, -76, -83, -86, 
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##     -109, -117, -118, -124, -121, -139, -141, -140, -126, -92, 
##     -93, -105, -86, -90, -98, -99, -93, -85, -81, -90, -96, -89, 
##     -83, -82, -87, -88, -85, -87, -83, -86, -92, -99, -99, -97, 
##     -92, -72, -94, -106, -112, -104, -97, -92, -89, -94, -90, 
##     -93, -87, -88, -89, -91, -92, -93, -93, -91, -151, -160, 
##     -155, -151, -154, -145, -142, -134, -139, -112, -119, -125, 
##     -122, -129, -128, -145, -137, -144, -139, -147, -147, -146, 
##     -149, -157, -151, -161, 32, 37, 32, 31, 31, 35, 32, 27, 33, 
##     30, 32, 19, 29, 23, 18, 15, 12, 15, 14, 16, 16, 20, 23, 25, 
##     32, 30, 31, 30, 33, 31, 30, 37, 31, 36, 31, 36, 38, 35, 38, 
##     38, 36, 40, 41, 42, 38, 40, 40, 38, 38, 38, 39, 41, 42, 43, 
##     33, 45, 51, 46, 42, 40, 37, 37, 35, 32, 30, 23, 33, 37, 42, 
##     34, 38, 34, 47, 42, 38, 36, 55, 38, 50, 47, 54, 53, 59, 47, 
##     59, 50, 52, 57, 62, 52, 65, 65, 68, 71, 66, 68, 56, 50, 54, 
##     54, 62, 58, 60, 56, 57, 59, 57, 56, 52, 55, 55, 61, 53, 49, 
##     50, 41, 69, 56, 48, 65, 68, 70, 68, 66, 68, 70, 71, 71, 72, 
##     66, 74, 75, 76, 75, 80, 72, 57, 58, 58, 63, 61, 61, 60, 64, 
##     62, 74, 73, 74, 71, 77, 75, 73, 64, 73, 71, 62, 68, 73, 74, 
##     84, 79, 81, 81, 88, 84, 78, 79, 78, 77, 70, 68, 65, 65, 68, 
##     67, 70, 51, 52, 54, 52, 60, 66, 59, 58, 63, 68, 65, 55, 61, 
##     65, 62, 57, 53, 54, 49, 76, 69, 70, 71, 74, 69, 69, 84, 79, 
##     73, 72, 74, 69, 74, 81, 73, 67, 65, 66, 78, 68, 67, 66, 65, 
##     71, 64, 61, 54, 53, 48, 52, 57, 53, 53, 57, 53, 47, 50, 73, 
##     71, 50, 53, 45, 52, 65, 52, 56, 51, 70, 68, 71, 68, 70, 68, 
##     69, 68, 69, 68, 58, 58, 55, 53, 57, 53, 47, 47, 50, 54, 65, 
##     50, 47, 51, 68, 57, 59, 69, 59, 59, 59, 59, 59, 59, 59, 59, 
##     59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, -5, -19, 
##     0, -8, -9, -6, -11, -8, -3, -2, -6, -6, -5, -9, -16, -14, 
##     2, 2, -12, -12, -12, -1, -2, -6, -8, -6, -7, -5, -5, -3, 
##     -3, -6, -18, -15, -9, -28, -21, -14, -11, -15, -15, -11, 
##     9, 9, 3, -6, -16, 4, 7, -7, -7, 4, 2, 17, 9, 13, 15, 15, 
##     13, 21, 16, 10, 10, 8, 4, 1, 1, 3, 0, -7, 3, -4, -1, -1, 
##     -9, -8, -3, -13, -13, -6, 6, -1, 8, 3, 8, 7, 18, 14, 12, 
##     12, 9, 13, 13, 8, 13, 13, 11, 13, -142, -133, -115, -166, 
##     -164, -164, -163, -164, -162, -161, -160, -156, -159, -155, 
##     -154, -157, -153, -143, -137, -135, -135, -131, -127, -135, 
##     -136, -130, -137, -142, -138, -126, -130, -134, -132, -128, 
##     -131, -132, -131, -129, -129, -128, -132, -134, -131, -135, 
##     -135, -131, -133, -133, -134, -132, -132, -133, -130, -136, 
##     -135, -137, -137, -136, -137, -138, -138, -136, -140, -139, 
##     -138, -139, -139, -138, -135, -132, -134, -134, -10, -2, 
##     9, 6, 6, 6, 6, 3, -13, 0, -1, 3, 60, 66, 53, 68, 64, 63, 
##     68, 69, 69, 69, 71, 71, 71, 73, 71, 70, 76, 66, 63, 69, 68, 
##     71, 72, 71, 72, 68, 59, 45, 48, 49, 44, 53, 55, 49, 48, 69, 
##     79, 74, 71, 69, 68, 72, 11, 9, 1, 3, 1, -2, 3, 3, 2, 4, 15, 
##     14, -100, -158, -173, -154, -163, -141, -140, -163, -175, 
##     -179, -137, -155, -164, -144, -148, -140, -143, -173, -155, 
##     -144, -159, -159, -183, -176, -191, -192, -194, -184, -154, 
##     -155, -157, -149, -155, -161, -172, -185, -200, -180, -195, 
##     -165, -166, -186, -213, -213, -207, -214, -183, -188, -187, 
##     -198, -204, -199, -182, -192, -170, -166, -210, -197, -199, 
##     -205, -160, -176, -190, -183, -202, -196, -202, -192, -191, 
##     -196, -199, -195, -195, -191, -199, -190, -197, 54, 54, 54, 
##     54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 117, 
##     112, 114, 108, 101, 100, 91, 100, 113, 114, 118, 115, 108, 
##     115, 94, 95, 92, 90, 75, 108, 110, 117, 112, 112, 105, 106, 
##     104, 93, 91, 97, 95, 100, 77, 79, 66, 51, 29, 26, -4, -14, 
##     -14, -2, 9, -2, -16, -17, 15, 4, 0, 4, -6, -13, -9, -12, 
##     -16, -14, 25, 41, 113, 110, 101, 103, 96, 89, 91, 94, 86, 
##     75, 61, 57, 40, 29, 22, 81, 79, 88, 79, 74, 71, 31, 40, 29, 
##     19, 34, 45, 22, 18, 18, 28, 24, 41, 39, 35, 29, 48, 63, 88, 
##     90, 91, 89, 93, 83, 80, 74, 33, 30, 43, 38, 31, 27, 32, 27, 
##     28, 29, 28, 28, 31, 37, 42, 32, 28, 33, 37, 36, 38, 41, 48, 
##     38, 38, 45, 46, 50, 48, 51, 49, -25, -38, -17, -12, -12, 
##     5, 7, 14, 11, 14, 20, 16, 17, 9, 5, 8, 10, 13, 24, 2, 38, 
##     42, 15, 9, 21, 1, -3, 6, 7, 10, 9, 15, 17, 14, 17, 12, 22, 
##     25, 1, 3, 11, 13, 20, 21, 11, 7, 10, 20, 16, 6, 25, 9, 7, 
##     1, -4, -2, -3, -3, 13, 6, 0, 12, 1, 6, 15, 20, 20, 21, 27, 
##     27, 28, 24, 19, 20, 20, 17, 23, 25, 11, -2, 16, 18, 22, 23, 
##     17, -2, 13, 24, -13, -11, 7, 10, 1, 9, 8, 13, 19, 19, 30, 
##     20, 23, 83, 84, 77, 75, 81, 100, 58, 80, 74, 86, 74, 74, 
##     79, 41, 25, 35, 25, 58, 67, 71, 60, 63, 70, 76, 80, 84, 80, 
##     72, 78, 66, 68, 68, 83, 88, 95, 96, 73, 81, 91, 84, 56, 72, 
##     70, 73, 82, 98, 73, 81, 83, 70, 89, 101, 106, 105, 94, 89, 
##     75, 63, 108, 104, 102, 92, 100, 98, 88, 92, 95, 91, 86, 93, 
##     90, 89, 94, 85, 88, 78, 92, 94, 90, 90, 87, 87, 81, 81, 86, 
##     83, 75, 84, 81, 71, 76, 75, 78, 80, 90, 84, 74, 88, 91, 90, 
##     93, 96, 98, 97, 89, 85, 85, 86, 86, 82, 83, 86, 72, 77, 80, 
##     84, 92, 84, 78, 88, 89, 86, 97, 87, 84, 82, 94, 102, 103, 
##     94, 101, 99, 99, 100, 103, 87, 93, 87, 88, 89, 74, 79, 75, 
##     83, 66, 63, 65, 62, 72, 72, 77, 80, 91, 90, 81, 80, 88, 98, 
##     101, 91, 83, 84, 95, 95, 93, 95, 91, 97, 102, 100, 99, 95, 
##     96, 101, 93, 90, 82, 87, 81, 78, 72, 71, 84, 74, 82, 97, 
##     90, 90, 93, 94, 89, 102, 99, 93, 100, 100, 90, 90, 95, 91, 
##     93, 95, 86, 94, 83, 87, 89, 81, 74, 89, 86, 80, 69, 74, 95, 
##     81, 80, 88, 93, 91, 93, 93, 96, 88, 91, 83, 98, 95, 96, 98, 
##     95, 96, 88, 94, 84, 83, 89, 44, 15, 15, 14, -3, -3, -3, -3, 
##     -3, -3, -2, -4, -4, -4, -4, -4, -4, -4, -1, 9, -10, -9, -6, 
##     -9, -6, -8, -19, -19, -19, -19, -19, -19, -19, -15, -16, 
##     -28, -22, -31, -34, -31, -25, -25, -21, -20, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -10, -15, -15, -23, -35, -35, -25, 
##     -6, -17, -18, -12, -11, -24, -27, -21, -14, -12, -12, -10, 
##     -19, -19, -22, -10, -14, -11, -3, -2, -14, -22, -28, -16, 
##     -12, -8, -26, -18, -11, -8, -16, -18, -22, -13, -14, -16, 
##     -17, -6, -2, -2, 3, 11, 7, 3, -5, -15, -26, -29, -17, -12, 
##     -13, -8, -10, 2, -21, -6, 7, -2, -12, -5, -13, -15, -15, 
##     -13, -10, -10, -17, -20, -22, -13, -10, -17, -13, -8, -7, 
##     -2, -1, 1, 8, 7, 0, -27, -12, -9, -2, -6, -6, -6, -6, -6, 
##     -6, -6, -6, -6, -6, 1, 5, 3, -3, -6, -8, -10, -10, -10, -10, 
##     -10, -10, -10, -15, -15, -15, -15, -15, -15, -15, -15, -20, 
##     -28, -28, -33, -30, -29, -36, -36, -36, -36, -36, -36, -36, 
##     -37, -37, -37, -37, -37, -37, 31, 34, 35, 31, 30, 32, 31, 
##     31, 28, 33, 28, 25, 27, 27, 29, 26, 28, 24, 25, 25, 26, 14, 
##     8, 7, 7, 2, 6, 18, 4, 5, 13, 14, 13, 8, 16, 14, 21, 10, 23, 
##     25, 22, 25, 8, 11, 17, 12, 31, 26, 25, 24, 22, 19, 19, 17, 
##     3, 9, 7, 3, 15, 9, 24, 17, 17, 13, 14, 20, 3, 34, 17, 19, 
##     18, 21, 4, 15, 4, 2, 11, 9, 21, 7, 20, 15, 11, 20, 19, 21, 
##     16, 16, 16, 19, 19, 16, 19, 13, 7, -3, 4, 10, 7, 10, 12, 
##     12, 18, 11, 14, 17, 0, 20, 7, 10, 24, 21, 6, 12, 11, 18, 
##     12, 19, 17, 18, 21, 21, 17, 12, 5, 5, 9, 7, 13, 20, 16, 6, 
##     24, 3, 2, 17, 6, 18, 17, 12, 20, 22, 18, 15, 16, 2, 5, 10, 
##     5, 2, 0, -3, -2, 10, 17, 6, 19, 5, -14, 9, 24, 14, 22, 22, 
##     13, 22, 18, 21, 12, 28, 19, 16, 17, 13, 6, 12, 3, 0, 2, -2, 
##     3, 12, 8, 13, 7, 16, 23, 7, 15, 0, 10, 14, 6, 11, 20, 19, 
##     12, 11, 16, 12, 16, 18, 14, 9, 3, -2, -4, 0, 2, 16, 19, 4, 
##     0, 1, 3, -1, 7, 1, 10, 4, 13, 18, 15, 12, 17, 7, 12, 9, 5, 
##     17, 14, 18, 12, 14, 10, 3, 0, -5, 3, 6, 6, 8, 5, 14, 16, 
##     15, -8, 5, 8, 9, 18, 10, 14, 8, 14, 11, 11, 7, 10, 10, 11, 
##     13, 11, 8, -159, -158, -171, -169, -167, -167, -144, -115, 
##     -144, -155, -176, -181, -165, -164, -176, -189, -186, -179, 
##     -191, -190, -201, -201, -203, -184, -179, -206, -190, -190, 
##     -193, -185, -194, -194, -197, -198, -195, -201, -196, -200, 
##     -196, -201, -200, -196, -198, -200, -198, -198, -202, -190, 
##     -194, -197, -197, -196, -199, -198, -204, -202, -187, -199, 
##     -201, -199, -197, -203, -197, -206, -199, -205, -205, -211, 
##     -209, -207, -205, -199, -199, -197, -208, -203, -192, -196, 
##     -205, -203, -196, -201, -195, -196, -192, -201, -200, -201, 
##     -194, -202, -200, -196, -194, -199, -190, -197, -213, -202, 
##     -200, -206, -218, -205, -200, -195, -190, -196, -193, -196, 
##     -194, -192, -195, -198, -211, -196, -193, -206, -213, -208, 
##     -220, -243, -206, -202, -199, -199, -206, -192, -190, -197, 
##     -184, -186, -210, -199, -196, -201, -197, -195, -198, -208, 
##     -182, -199, -218, -167, -184, -188, -203, -222, -185, -201, 
##     -220, -202, -205, -206, -202, -205, -178, -182, -198, -190, 
##     -195, -198, -194, -189, -188, -174, -194, -177, -197, -207, 
##     -211, -180, -205, -223, -182, -189, -197, -185, -189, -185, 
##     -189, -196, -192, -188, -191, -194, -192, -184, -200, -190, 
##     -179, -194, -217, -206, -220, -203, -191, -200, -219, -206, 
##     -200, -197, -176, -185, -178, -191, -191, -203, -198, -200, 
##     -201, -198, -200, -191, -203, -196, -232, -189, -185, -210, 
##     -219, -212, -201, -216, -192, -185, -196, -180, -191, -186, 
##     -197, -209, -194, -189, -226, -183, -200, -196, -169, -200, 
##     -198, -222, -229, -230, -204, -190, -199, -197, -206, -205, 
##     -199, -178, -188, -197, -201, -180, -196, -194, -199, -201, 
##     -197, -196, -179, -210, -185, -193, -199, -187, -185, -195, 
##     -206, -176, -186, -203, -190, -192, -188, -196, -195, -195, 
##     -186, -187, -205, -197, -191, -190, -187, -194, -183, -189, 
##     -188, -200, -202, -199, -200, -195, -197, -195, -199, -192, 
##     -192, -192, -198, -197, -193, -197, -195, -194, -194, -193, 
##     -198, -191, -196, -188, -191, -195, -188, -192, -188, -172, 
##     -156, -177, -176, -179, -189, -182, -185, -182, -186, -182, 
##     -114, -167, -172, -189, -194, -196, -183, -166, -151, -124, 
##     -136, -155, -177, -151, -196, -188, -189, -186, -188, -185, 
##     -185, -187, -185, -183, -182, -188, -184, -187, -185, -184, 
##     -185, -185, -185, -186, -189, -185, -184, -99, -92, -98, 
##     -99, -94, -98, -96, -95, -91, -93, -97, -102, -114, -127, 
##     -93, -112, -80, -82, -80, -75, -75, -74, -76, -77, -74, -77, 
##     -86, -89, -99, -102, -106, -103, -166, -165, -163, -174, 
##     -180, -165, -171, -170, -174, -174, -174, -173, -175, -176, 
##     -177, -183, -185, -198, -197, -201, -187, -175, -160, -179, 
##     -179, -176, -149, -143, -144, -136, -127, -128, -133, -125, 
##     -111, -114, -129, -124, -126, -124, -144, -141, -122, -141, 
##     -139, -135, -133, -133, -135, -142, -115, -127, -126, -126, 
##     -128, -140, -120, -143, -142, -146, -141, -142, -133, -138, 
##     -139, -136, -134, -129, -131, -124, -134, -126, -122, -131, 
##     -120, -130, -127, -107, -130, -124, -124, -125, -132, -121, 
##     -127, -130, -131, -131, -124, -129, -127, -125, -128, -135, 
##     -133, -132, -132, -133, -139, -145, -144, -145, -140, -145, 
##     -145, -144, -140, -141, -138, -141, -142, -137, -139, -141, 
##     -139, -135, -139, -137, -140, -138, -138, -139, -134, -142, 
##     -140, -152, -145, -147, -144, -146, -146, -143, -147, -146, 
##     -146, -144, -142, -136, -141, -147, -137, -141, -143, -142, 
##     -140, -145, -144, -139, -127, -138, -140, -141, -144, -140, 
##     -122, -129, -138, -139, -140, -137, -139, -138, -137, -146, 
##     -144, -142, -146, -148, -147, -145, -146, -142, -143, -142, 
##     -140, -141, -140, -143, -141, -133, -145, -147, -138, -137, 
##     -138, -134, -136, -135, -138, -138, -134, -142, -141, -135, 
##     -135, -138, -144, -145, -144, -125, -129, -126, -130, -132, 
##     -138, -134, -139, -138, -135, -133, -134, -135, -137, -137, 
##     -137, -141, -143, -147, -157, -148, -139, -143, -138, -139, 
##     -141, -141, -144, -143, -141, -145, -148, -145, -143, -149, 
##     -146, -149, -145, -148, -146, -150, -148, -147, -149, -148, 
##     -145, -143, -138, -133, -144, -133, -135, -141, -137, -124, 
##     -132, -130, -143, -129, -134, -131, -139, -139, -140, -139, 
##     -145, -143, -146, -145, -148, -148, -152, -147, -148, -146, 
##     -148, -146, -142, -147, -144, -140, -142, -143, -139, -144, 
##     -138, -141, -134, -136, -142, -134, -139, -141, -142, -131, 
##     -134, -129, -127, -128, -132, -144, -145, -141, -145, -139, 
##     -144, -131, -133, -136, -140, -145, -147, -138, -147, -140, 
##     -134, -142, -143, -135, -143, -138, -132, -131, -133, -133, 
##     -141, -141, -143, -148, -144, -143, -128, -141, -139, -143, 
##     -148, -137, -138, -140, -134, -138, -142, -139, -136, -147, 
##     -144, -145, -141, -137, -145, -140, -153, -142, -132, -126, 
##     -125, -128, -134, -132, -140, -140, -137, -144, -143, -143, 
##     -141, -145, -98, -86, -76, -128, -179, -189, -186, -184, 
##     -180, -174, -182, -142, -138, -134, -123, -104, -92, -93, 
##     -80, -87, -102, -88, -150, -151, -145, -137, -139, -136, 
##     -140, -136, -132, -133, -134, -140, 8, 19, 25, 23, 23, 15, 
##     9, 16, 21, 20, 16, 23, 13, 13, 19, 20, 16, 14, 18, 19, 13, 
##     17, 8, 22, 21, 15, 16, 13, 19, 13, 21, 20, 18, 20, 19, 14, 
##     16, 18, 14, 14, 12, 13, 12, 11, 18, 17, 12, 9, 8, 13, 14, 
##     14, 13, 11, 7, 7, 11, 13, 13, 14, 20, 14, 11, 28, 4, 24, 
##     17, 14, 17, 20, 7, 9, 23, 31, 22, 23, 21, 17, 11, 15, 25, 
##     17, 19, 15, 16, 14, 11, 9, 11, 12, 8, 10, 8, 10, 9, 12, 10, 
##     9, 19, 20, 15, 16, 22, 15, 17, 12, 14, 20, 22, 21, 13, 16, 
##     9, 8, 6, 3, 6, 6, 7, 6, 7, 9, 6, 3, 8, 8, 5, 8, 13, 16, 16, 
##     19, 11, 16, 10, 11, 8, 9, 11, 8, 8, 8, 6, 6, 8, 7, 8, 6, 
##     4, 1, 3, 5, 4, 9, 9, 15, 9, 7, 10, 12, 12, 10, -2, 11, 13, 
##     15, 13, 12, 14, 16, 17, 16, 12, 5, 7, 9, 8, 8, 10, 6, 7, 
##     6, 10, 7, 8, 7, 11, 7, 5, 9, 7, 9, 10, 9, 9, 9, 10, 11, 9, 
##     6, 7, 12, 10, 16, 11, 10, 10, 12, 12, 9, 17, 11, 13, 16, 
##     7, 5, 7, 7, 7, 9, 5, 6, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 8, 11, 10, 
##     8, 8, 6, 6, 5, 5, 6, 7, 7, 7, 8, 5, 4, 6, 16, 12, 9, 6, 2, 
##     9, 13, 13, 10, 4, 7, 18, 13, 20, 18, 18, 16, 16, 23, 21, 
##     11, 15, 14, 27, 25, 19, 24, 25, 31, 28, 23, 16, 30, 14, 16, 
##     -168, -167, -190, -199, -189, -193, -181, -189, -190, -186, 
##     -184, -183, -190, -193, -187, -184, -198, -155, -185, -174, 
##     -184, -148, -160, -145, -146, -167, -223, -199, -198, -201, 
##     -210, -204, -205, -208, -212, -203, -211, -206, -191, -198, 
##     -201, -197, -7, -5, -5, -11, -10, -9, -6, -11, -13, -18, 
##     -13, -9, -9, 6, -35, -35, -30, -27, -27, -25, -23, -24, -25, 
##     -31, -14, -28, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 99, 
##     87, 92, 87, 82, 71, 73, 81, 85, 61, 77, 94, 101, 72, 75, 
##     79, 72, 74, 81, 80, 93, 96, 81, 89, 96, 103, 94, 90, 87, 
##     89, 86, 75, 90, 103, 74, 87, 72, 99, 105, 97, 97, 88, 81, 
##     92, 82, 86, 73, 88, 88, 96, 82, 90, 83, 84, 92, 94, 86, 85, 
##     90, 85, 91, 80, 78, 90, 73, 75, 86, 83, 15, 11, 6, 21, 13, 
##     11, 19, 8, 14, 15, 9, 9, 10, 11, 8, 11, 9, 8, 7, 7, 10, 13, 
##     18, 21, 16, 17, 14, 13, 13, 12, 20, 3, 2, 27, 24, 24, 23, 
##     25, 26, 17, 15, 21, 19, 6, 12, 16, 13, 24, 16, 16, 19, 25, 
##     20, 31, 24, 26, 27, 23, 28, 28, 22, 10, 20, 22, 19, 12, 7, 
##     0, 17, 27, 27, 17, 15, 15, 14, 11, 18, 7, 6, -4, 8, 24, 21, 
##     24, 13, 12, 10, 23, 11, 12, 11, 11, 7, 9, 8, 10, 11, 15, 
##     15, 16, 18, 14, 17, 13, 13, 12, 11, 9, 15, 12, 12, 9, 10, 
##     10, 9, 12, 11, 92, 87, 88, 93, 83, 82, 83, 101, 90, 85, 97, 
##     92, 103, 106, 106, 103, 96, 94, 99, 96, 97, 100, 94, 89, 
##     89, 87, 87, 88, 92, 84, 82, 73, 82, 83, 92, 84, 85, 92, 100, 
##     100, 103, 104, 103, 99, 101, 104, 106, 96, 101, 81, 85, 91, 
##     91, 84, 78, 81, 83, 78, 86, 83, 96, 91, 98, 88, 94, 96, 101, 
##     92, 99, 94, 94, 104, 86, 96, 83, 84, 96, 96, 95, 91, 88, 
##     82, 81, 83, 86, 40, 72, 78, 88, 93, 70, 65, 78, 92, 88, 91, 
##     83, 83, 82, 83, 83, 88, 82, 86, 85, 78, 74, 66, 52, 72, 73, 
##     72, 77, 89, 100, 77, 87, 93, 96, 96, 92, 88, 94, 95, 96, 
##     90, 96, 90, 91, 92, 89, 97, 92, 90, 89, 90, 95, 94, 91, 87, 
##     83, 81, 71, 70, 56, 53, 50, 50, 74, 79, 73, 94, 81, 84, 97, 
##     94, 85, 95, 105, 104, 93, 91, 92, 96, 96, 95, 93, 76, 71, 
##     77, 78, 102, 83, 82, 91, 91, 97, 95, 91, 89, 98, 90, 96, 
##     87, 81, 74, 68, 63, 62, 50, 53, 60, 60, 65, 77, 91, 93, 83, 
##     88, 101, 103, 92, 85, 93, 95, 92, 91, 92, 94, 92, 96, 95, 
##     93, 56, 55, 64, 48, 59, 49, 64, 65, 77, 92, 83, 84, 83, 88, 
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##     -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -16, -6, -8, -20, -27, 
##     -29, -8, -5, -5, -7, 3, 3, 1, 3, 10, -4, 4, -5, -4, 9, 6, 
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##     3, 8, -23, -15, -5, -6, 0, 11, -10, 0, 6, 1, 1, 1, 7, 9, 
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##     -16, -6, -12, -4, -2, -2, 3, 6, -2, -4, 4, 3, 4, 1, 2, -2, 
##     0, 1, 2, 4, -4, -10, -12, -12, -2, -4, -1, -2, -1, 2, 2, 
##     2, 4, 6, 4, 3, -1, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -37, 
##     -37, -37, -37, -37, -37, -36, -28, -26, -17, -22, -22, -6, 
##     -13, -10, -3, -18, -23, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -92, -58, -53, 
##     -57, -55, -50, -13, -4, 42, 61, 65, 90, 95, 105, 109, 88, 
##     91, 100, 98, 94, 90, 86, 73, 40, 32, 29, 14, -5, 8, 32, -39, 
##     -59, -70, -72, -40, -42, -58, -61, -41, -12, 36, 55, 59, 
##     69, 74, 83, 88, 108, 97, 106, 115, 117, 109, 106, 116, 96, 
##     90, 61, 69, 35, 30, -13, -13, -22, -47, -43, -62, -47, -46, 
##     -22, -15, -1, 17, 61, 65, 73, 84, 94, 96, 94, 90, 85, 93, 
##     70, 51, 32, 40, 39, 23, 23, 18, 18, 18, 1, -29, -67, -50, 
##     -51, -47, -27, -15, -6, 18, 38, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 45, 43, 43, 45, 47, 
##     47, 46, 45, 46, 45, 42, 9, 8, 7, 3, 3, 0, 0, -7, -12, -5, 
##     3, 14, 10, 5, 10, 14, 19, 12, 16, 17, 12, 15, 13, 17, 20, 
##     19, 17, 14, 16, 21, 17, 14, 18, 10, 14, 6, -5, -6, 8, 6, 
##     5, 16, 19, 20, 17, 16, 18, 9, 14, 10, 21, 13, 13, 9, 10, 
##     16, 20, 14, 13, 17, 9, 15, 14, 11, 11, 10, 8, 6, 2, 2, -9, 
##     -14, -11, 4, 16, 13, 11, 13, 23, 12, 5, 10, 14, 11, 9, 7, 
##     13, 17, 18, 13, 17, 15, 10, 14, 12, 16, 11, 6, 5, 8, 6, -17, 
##     -13, -17, -9, 0, 4, 12, 12, 11, 18, 13, 11, 6, 23, 7, 15, 
##     18, 19, 13, 12, 7, 14, -14, -15, -15, 3, 11, 9, 14, 4, 10, 
##     25, 19, 11, 11, 23, 18, 18, 11, 9, 15, 15, 18, 20, 15, 16, 
##     19, 7, 10, 9, 16, 19, 11, 18, 21, 22, 20, 20, 20, 20, 20, 
##     20, 17, 25, 15, 16, 15, 13, 10, 2, 6, 9, 10, 20, 19, 12, 
##     18, 23, 32, 20, 13, 31, -188, -185, -188, -193, -201, -190, 
##     -187, -197, -199, -204, -193, -195, -194, -197, -218, -189, 
##     -181, -211, -213, -201, -202, -205, -204, -204, -203, -201, 
##     -203, -206, -207, -204, -211, -210, -212, -210, -222, -204, 
##     -197, -215, -222, -208, -210, -211, -211, -216, -214, -210, 
##     -208, -210, -210, -211, -201, -200, -193, -208, -199, -195, 
##     -183, -187, -192, -197, -207, -184, -181, -179, -176, -159, 
##     -201, -198, -158, -176, -202, -198, -190, -192, -180, -181, 
##     -170, -170, -177, -192, -181, -168, -180, -187, -191, -191, 
##     -183, -172, -173, -174, -202, -190, -180, -187, -188, -185, 
##     -175, -182, -196, -166, -186, -186, -179, -186, -189, -184, 
##     -182, -196, -187, -188, -189, -179, -183, -173, -170, -169, 
##     -178, -166, -197, -194, -193, -189, -190, -187, -200, -202, 
##     -202, -201, -187, -176, -177, -191, -198, -168, -173, -181, 
##     -181, -188, -189, -179, -168, -167, -199, -189, -193, -187, 
##     -174, -141, -173, -160, -179, -176, -175, -171, -181, -179, 
##     -191, -193, -189, -177, -174, -180, -182, -180, -180, -191, 
##     -176, -172, -168, -161, -189, -186, -188, -184, -170, -190, 
##     -154, -184, -179, -165, -198, -180, -169, -189, -200, -183, 
##     -176, -180, -182, -169, -190, -193, -170, -177, -180, -180, 
##     -167, -176, -171, -178, -194, -184, -171, -185, -178, -177, 
##     -190, -182, -179, -185, -179, -180, -182, -180, -180, -180, 
##     -179, -179, -178, -177, -179, -182, -184, -185, -188, -189, 
##     -188, -192, -192, -194, -193, -193, -194, -195, -194, -196, 
##     -196, -198, -195, -194, -194, -193, -194, -193, -143, -136, 
##     -135, -135, -137, -137, -139, -137, -136, -143, -144, -127, 
##     -130, -127, -127, -130, -134, -127, -139, -128, -132, -130, 
##     -134, -130, -145, -145, -145, -145, -143, -145, -148, -137, 
##     -141, -140, -145, -143, -145, -142, -138, -136, -134, -134, 
##     -133, -135, -133, -139, -140, -141, -146, -167, -167, -164, 
##     -171, -168, -163, -165, -159, -154, -150, -154, -156, -152, 
##     -143, -137, -137, -138, -141, -137, -144, -144, -150, -151, 
##     -147, -142, -137, -130, -124, -124, -123, -121, -122, -128, 
##     -125, -123, -134, -140, -139, -140, -141, -138, -141, -143, 
##     -141, -136, -138, -131, -131, -126, -132, -134, -127, -127, 
##     -124, -127, -127, -138, -140, -145, -142, -138, -142, -144, 
##     -139, -144, -138, -135, -137, -132, -135, -125, -118, -130, 
##     -122, -128, -128, -127, -128, -130, -126, -131, -129, -140, 
##     -141, -133, -134, -127, -130, -141, -141, -145, -143, -145, 
##     -150, -148, -141, -143, -130, -138, -136, -138, -135, -133, 
##     -136, -130, -127, -134, -126, -131, -126, -129, -136, -125, 
##     -118, -121, -134, -134, -131, -133, -130, -131, -131, -134, 
##     -130, -131, -132, -137, -130, -129, -128, -134, -131, -132, 
##     -131, -134, -133, -132, -131, -132, -127, -128, -131, -127, 
##     -128, -125, -126, -128, -137, -128, -133, -136, -143, -141, 
##     -141, -144, -138, -140, -141, -133, -127, -134, -130, -131, 
##     -133, -130, -126, -129, -132, -136, -134, -123, -130, -122, 
##     -130, -130, -126, -129, -127, -124, -122, -127, -127, -127, 
##     -154, -156, -153, -155, -155, -154, -151, -145, -147, -143, 
##     -148, -149, -149, -145, -146, -144, -136, -136, -154, -153, 
##     -155, -170, -173, -165, -165, -170, -173, -174, -165, -162, 
##     -138, -139, -141, -138, -141, -141, -140, -141, -142, -144, 
##     -144, -147, -139, -145, -131, -137, -142, -142, -134, -136, 
##     -133, -131, -125, -124, -129, -144, -150, -147, -148, -147, 
##     -148, -150, -151, -144, -146, -141, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, -10, 17, 15, -21, -14, -10, 0, -3, -11, -6, -14, 
##     -9, -7, -3, -11, -15, -17, -29, -21, -5, -3, 0, -21, -21, 
##     -10, -8, -7, -9, -4, -4, -4, -4, -3, -6, -5, -5, -6, -10, 
##     -10, -10, -16, -23, -6, -29, -37, -25, -16, -13, -11, -12, 
##     -15, -5, -2, -2, -2, -2, -2, 0, 0, -1, -1, 5, -2, -2, -2, 
##     1, 1, 1, 1, 1, 1, -3, -6, -5, -6, -17, -5, -6, -9, -19, -24, 
##     -21, -12, -11, -13, -9, -8, -9, -6, -7, -8, -8, -8, -5, -6, 
##     -9, -9, 1, -4, 2, 8, 2, 1, 2, -5, -6, -5, -6, -10, 3, 7, 
##     7, 7, -2, -11, -17, -17, -4, -2, -7, -11, -2, -2, -2, -1, 
##     0, 2, 1, -1, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 
##     0, 1, 1, 1, 1, -1, -2, -5, -4, -11, -11, -11, -11, -11, 4, 
##     -9, -7, -6, -6, -3, -2, -14, -12, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -9, -2, -2, -6, -5, -4, 
##     -11, -8, 4, 0, -4, -3, -6, -3, 1, -1, -2, -6, 5, -5, -6, 
##     -4, -11, -10, -15, -6, -5, -5, -4, -5, -5, -7, -6, -4, 4, 
##     -1, -4, -10, -13, -13, -13, -186, -190, -195, -196, -193, 
##     -192, -191, -191, -191, -191, -191, -194, -191, -180, -177, 
##     -164, -168, -177, -179, -169, -170, -161, -174, -171, -178, 
##     -178, -185, -187, -179, -182, -186, -198, -197, -204, -194, 
##     -174, -180, -178, -179, -177, -173, -192, -179, -171, -183, 
##     -185, -188, -184, -196, -194, -190, -177, 103, 106, 110, 
##     113, 120, 117, 90, 78, 69, 30, 23, -10, -41, -52, -58, -56, 
##     -29, -18, -9, -8, 13, 20, 38, 58, 70, 80, 99, 103, 41, 32, 
##     32, 32, 32, 32, 32, 17, 17, 17, 17, 17, 17, -6, -10, -3, 
##     9, -2, -94, -32, -32, -32, -32, -32, 65, 66, 65, 61, 61, 
##     60, 60, 60, 39, 41, -32, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, 96, 93, 97, 95, 97, 95, 97, 
##     93, 84, 76, 58, 65, 66, 66, 87, 57, 53, 56, 75, 85, 87, 101, 
##     89, 87, 83, 95, 88, 97, 84, 84, 82, 83, 72, 61, 56, 100, 
##     91, 94, 96, 94, 97, 94, 96, 92, 88, 92, 93, 96, 97, 98, 15, 
##     25, 19, 27, 30, 27, 25, 23, 22, 24, 19, 11, 19, 24, 19, 20, 
##     21, 5, 3, -2, 0, 1, -4, -8, 1, 6, 23, 15, 22, 18, 16, 24, 
##     38, 37, 35, 33, 36, 35, 35, 37, 36, 37, 37, 35, 35, 37, 38, 
##     39, 44, 46, 55, 51, 38, 23, 35, 58, 58, -201, -173, -173, 
##     -166, -157, -146, -124, -109, -82, -82, -74, -77, -73, -68, 
##     -74, -81, -74, -75, -73, -76, -79, -75, -68, -79, -87, -94, 
##     -98, -93, -97, -98, -118, -122, -133, -135, -159, -150, -148, 
##     -161, -154, -157, -164, -166, -150, -144, -107, -106, -98, 
##     -93, -79, -80, -72, -71, -50, -54, -50, -53, -75, -76, -83, 
##     -78, -80, -81, -104, -89, -116, -110, -120, -125, -133, -137, 
##     -142, -159, -151, -149, -147, -140, -138, -135, -129, -131, 
##     -139, -137, -146, -147, -138, -119, -124, -109, -111, -106, 
##     -85, -84, -79, -54, -54, -54, -67, -103, -102, -106, -103, 
##     -121, 17, 15, 20, 11, 16, 15, 19, 31, 36, 40, 41, 37, 47, 
##     45, 53, 44, 41, 56, 57, 58, 59, 63, 48, 50, 47, 30, 37, 26, 
##     24, 29, 15, 13, -4, -4, 8, -7, 23, 22, 25, 22, 26, 25, 27, 
##     34, 46, 51, 46, 48, 41, 49, 58, 59, 47, 33, 30, 51, 46, 49, 
##     56, 46, 63, 23, 26, 39, 28, 10, -14, -3, -12, -20, -28, -9, 
##     -5, -5, 0, 18, 38, 54, 54, 51, 61, 60, 54, 53, 42, 47, 61, 
##     79, 79, 48, 48, 46, 43, 58, 76, 46, 53, 41, 41, 58, 60, 36, 
##     49, 46, 19, -26, -16, 8, 11, 23, 34, 39, 43, 47, 50, 58, 
##     59, 51, 47, 37, 33, 30, 40, 58, 52, 30, 35, 46, 33, 0, -14, 
##     -17, -21, -32, -32, -41, -27, -32, -32, -32, -19, -23, -22, 
##     -13, -11, 58, 53, 44, 13, 23, 9, 2, 12, 12, 0, 1, -11, -9, 
##     -4, -11, 7, 26, 38, 40, 38, 44, 43, 52, 56, 61, 54, 55, 23, 
##     23, 22, 7, 21, 17, 18, 26, 37, 46, 55, 66, 70, 79, 89, 84, 
##     84, 82, 84, 62, 54, 69, 51, 54, 45, 41, 31, 40, 35, 26, 26, 
##     30, 29, 11, 0, 5, -5, -3, 4, 24, 40, 47, 47, 54, 63, 77, 
##     61, 74, 81, 70, 84, 81, 84, 72, 70, 70, 66, 66, 59, 59, 64, 
##     51, 47, 54, 33, 28, 25, 24, 28, 28, 23, 16, 10, 26, 21, 23, 
##     21, 19, 22, 21, 19, 19, 18, 19, 24, 20, 22, 19, 18, 17, 18, 
##     -8, -16, -28, -35, -40, -42, -46, -46, -47, -48, -50, -53, 
##     -56, -53, -51, -47, -51, -46, 89, 88, 93, 91, 78, 57, 56, 
##     54, 56, 56, 59, 56, 69, 88, 74, 88, 102, 89, 90, 97, 92, 
##     95, 98, 95, 94, 96, 93, 95, 88, 79, 65, 63, 74, 77, 70, 104, 
##     104, 100, 114, 80, 74, 83, 108, 103, 105, 97, 97, 102, 97, 
##     97, 97, 103, 104, 98, 94, 99, 97, 84, 65, 61, 61, 65, 70, 
##     94, 80, 93, 104, 94, 88, 90, 88, 90, 103, 98, 99, 84, 79, 
##     77, 87, 88, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
##     6, -5, -9, -9, -9, -9, -14, -18, -18, -15, -8, -8, -12, -19, 
##     -19, -16, -5, -17, -16, -17, -12, -12, -14, -11, -1, -19, 
##     4, -11, -1, 6, -11, -3, -9, -3, -10, -5, -3, 4, -12, -8, 
##     -5, -8, -8, -6, -6, -9, -11, -11, -12, -9, -14, -17, -5, 
##     -10, -10, -34, -19, -17, -16, -14, -15, -14, -17, -11, -9, 
##     -6, -13, -13, 4, 17, 19, 5, 13, 28, 13, 18, 20, 18, 20, 9, 
##     5, -2, 3, -1, 2, -9, -6, -9, -12, -11, -11, -13, -22, -31, 
##     -23, -28, -23, -29, -30, -15, -18, 1, -21, -4, 9, 12, 6, 
##     4, -16, -12, -5, 4, -3, -10, -6, -5, -9, -11, -7, -15, -27, 
##     -22, -24, -37, -40, -23, -11, -18, -27, -18, -15, -22, -10, 
##     -15, -18, -21, -5, 5, 2, -6, 6, 0, -10, 1, -2, -5, -19, -26, 
##     -26, -27, -18, -16, -9, -13, -21, -23, -21, -25, -9, -12, 
##     -25, -22, -7, -5, -12, -11, -9, -8, 0, -2, 12, -11, -20, 
##     7, 1, 0, 7, 1, 3, -7, -9, -12, -15, -4, -1, -6, -7, -10, 
##     -10, -18, -14, 8, -15, -13, -4, -16, -16, -15, -11, -10, 
##     2, -12, -20, -19, -14, -19, -24, -21, -2, 7, 13, 9, -1, 3, 
##     2, -3, -10, -6, -3, -2, -4, -7, -9, -4, -8, -4, -3, -5, -14, 
##     -9, -15, -11, -7, -14, -19, -7, -10, -15, -13, -8, -16, -14, 
##     -15, -14, -11, -7, -14, -5, 8, 11, 3, -9, -11, 4, -5, -3, 
##     -1, 2, -20, -23, -25, -16, -11, -14, -18, -8, -24, -16, -10, 
##     -8, -11, -8, -3, -13, -2, -20, -13, 4, -2, 11, 4, 3, 6, -1, 
##     0, 5, -8, 28, 14, 1, 3, 4, 6, 21, 5, 15, 6, 7, 11, 8, 0, 
##     0, 1, -2, -1, -2, -5, -7, -15, -8, -13, -10, -13, -6, -24, 
##     -15, -7, -2, -7, -3, 0, 3, 2, 3, 5, 13, 13, 21, 21, 17, 15, 
##     22, 8, 5, 8, 12, -25, -29, -34, -66, -59, -45, -35, -22, 
##     -18, -19, -18, -19, -22, -22, -24, -24, -24, -23, 42, 46, 
##     42, 39, 41, 26, 15, 15, 27, 36, 39, 42, 59, 72, 76, 62, 67, 
##     92, 101, 98, 97, 92, 90, 79, 84, 67, 70, 69, 50, 49, 46, 
##     73, 76, 74, 81, 88, 71, 73, 79, 107, 107, 97, 85, 77, 66, 
##     57, 55, 52, 55, 94, 74, 64, 56, 57, 95, 104, 100, 102, 100, 
##     98, 114, 113, 116, 117, 113, 116, 113, 106, 100, 88, 97, 
##     97, 88, 83, 82, 68, 70, 66, 77, 81, 96, 108, 101, 96, 92, 
##     87, 111, 113, 119, 116, 109, 100, 94, 99, 80, 92, 94, 70, 
##     63, 61, 55, 69, 93, 107, 101, 105, 93, 95, 96, 93, 94, 87, 
##     100, 106, 105, 105, 108, 101, 95, 85, 79, 74, 71, 70, 77, 
##     81, 87, 97, 103, 112, 101, 100, 102, 96, 95, 102, 110, 111, 
##     113, 113, 117, 118, 121, 121, 106, 107, 98, 105, 91, 80, 
##     87, 82, 90, 94, 91, 96, 102, 104, 111, 94, 94, 108, 108, 
##     111, 110, 105, 103, 100, 102, 101, 104, 107, 103, 102, 106, 
##     113, 115, 104, 107, 105, 111, 101, 104, 105, 93, 84, 80, 
##     85, 92, 96, 99, 101, 107, 119, 122, 115, 115, 115, 107, 108, 
##     107, 108, 109, 105, 121, 128, 130, 100, 108, 103, 108, 95, 
##     104, 93, 88, 85, 85, 83, 83, 77, 77, 71, 63, 59, 59, 59, 
##     53, 53, 53, 53, 53, 53, 49, 40, 37, 39, 39, 32, 32, 28, 24, 
##     26, 26, 36, 36, 36, 36, 33, 36, 35, 35, 35, 37, 36, 36, 36, 
##     -193, -191, -195, -191, -194, -193, -200, -199, -198, -196, 
##     -189, -189, -188, -183, -195, -192, -196, -197, -197, -202, 
##     -203, -205, -202, -211, -203, -212, -211, -207, -214, -214, 
##     -211, -207, -209, -207, -208, -207, -205, -208, -207, -206, 
##     -205, -206, -205, -205, -203, -204, -205, -204, -204, -203, 
##     -203, -204, -206, -201, -203, -204, -202, -202, -200, -198, 
##     -198, -214, -202, -211, -213, -203, -223, -223, -218, -213, 
##     -211, -213, -216, -212, -217, -214, -218, -212, -214, -224, 
##     -230, -208, -176, -170, -174, -193, -162, -138, -133, -142, 
##     -163, -172, -185, -186, -181, -170, -136, -131, -145, -146, 
##     -138, -198, -202, -261, -260, -211, -240, -228, -206, -171, 
##     -151, -147, -169, -194, -147, -143, -160, -193, -199, -231, 
##     -201, -248, -218, -208, -208, -220, -200, -183, -171, -160, 
##     -156, -195, -188, -170, -174, -177, -193, -186, -187, -184, 
##     -183, -195, -171, -197, -188, -237, -319, -334, -216, -203, 
##     -194, -185, -178, -242, -179, -171, -168, -159, -153, -192, 
##     -166, -155, -155, -149, -188, -153, -171, -174, -222, -201, 
##     -198, -187, -195, -174, -163, -174, -174, -181, -176, -164, 
##     -160, -173, -169, -169, -163, -148, -146, -153, -144, -148, 
##     -149, -167, -168, -187, -155, -190, -225, -213, -181, -178, 
##     -201, -192, -186, -164, -150, -157, -169, -174, -176, -165, 
##     -163, -161, -176, -175, -168, -148, -152, -170, -204, -201, 
##     -178, -157, -143, -171, -156, -197, -184, -188, -192, -218, 
##     -198, -284, -192, -206, -189, -201, -209, -198, -160, -171, 
##     -151, -149, -148, -141, -138, -143, -212, -137, -134, -135, 
##     -136, -133, -132, -138, -128, -129, -122, -121, -129, -127, 
##     -127, -137, -139, -142, -140, -133, -142, -138, -136, -140, 
##     -140, -136, -135, -134, -130, -132, -128, -130, -132, -130, 
##     -138, -131, -132, -131, -131, -134, -136, -136, -136, -132, 
##     -130, -137, -132, -135, -135, -136, -129, -136, -131, -134, 
##     -142, -145, -146, -144, -145, -145, -140, -141, -141, -141, 
##     -139, -145, -144, -140, -138, -134, -130, -129, -143, -140, 
##     -141, -138, -139, -143, -144, -142, -134, -142, -130, -133, 
##     -142, -140, -146, -145, -145, -149, -150, -147, -148, -144, 
##     -124, -132, -126, -130, -134, -133, -138, -132, -132, -125, 
##     -127, -134, -135, -138, -131, -130, -132, -135, -134, -132, 
##     -134, -136, -130, -134, -132, -132, -134, -120, -134, -138, 
##     -139, -144, -145, -143, -153, -144, -142, -140, -135, -133, 
##     -133, -130, -128, -135, -138, -136, -137, -141, -144, -137, 
##     -138, -176, -178, -169, -164, -143, -144, -148, -156, -159, 
##     -169, -182, -181, -183, -165, -166, -168, -185, -197, -193, 
##     -190, -196, -195, -180, -175, -167, -163, -155, -171, -172, 
##     -167, -170, -173, -172, -175, -175, -177, -176, -171, -172, 
##     -156, -144, -139, -140, -117, -107, -106, -106, -99, -87, 
##     -85, -82, -87, -87, -80, -117, -126, -124, -121, -139, -139, 
##     -139, -144, -169, -164, -155, -142, -138, -142, -151, -158, 
##     -161, -162, -146, -143, -140, -114, -88, -78, -75, -83, -82, 
##     -83, -84, -84, -74, -76, -77, -77, -75, -76, -77, -75, -68, 
##     -62, -71, -76, -67, -73, -96, -96, -114, -127, -134, -137, 
##     -136, -125, -131, -142, -169, -127, -145, -154, -144, -152, 
##     -152, -124, -110, -71, -71, -68, -65, -70, -129, -141, -142, 
##     -113, -79, -80, -80, -75, -72, -76, -76, -75, -78, -71, -81, 
##     -76, -78, -74, -73, -68, -70, -68, -77, -78, -76, -82, -84, 
##     -99, -103, -112, -167, -168, -167, -164, -159, -157, -154, 
##     -151, -150, -140, -138, -140, -139, 52, 141, 73, 125, 102, 
##     123, 88, 115, 111, 100, 103, 105, 104, 115, 119, 114, 111, 
##     91, 63, 81, 94, 92, 93, 108, 91, 104, 109, 108, 113, 105, 
##     105, 112, 92, 85, 80, 62, 110, 116, 38, 49, 77, 87, 102, 
##     100, 97, 104, 106, 88, 91, 91, 91, 88, 96, 98, 94, 90, 91, 
##     103, 116, 111, 97, 72, 81, 88, 92, 80, 88, 82, 94, 99, 117, 
##     102, 105, 102, 106, 102, 91, 96, 90, 71, 98, 107, 110, 97, 
##     114, 71, 81, 71, 56, 115, 73, 58, 106, 59, 49, 50, 66, 82, 
##     96, 109, 119, 121, 123, 111, 93, 107, 106, 73, 100, 107, 
##     89, 100, 91, 99, 91, 91, 87, 87, 81, 95, 118, 118, 97, 83, 
##     94, 108, 118, 112, 66, 56, 57, 51, 54, 98, 85, 67, 114, 77, 
##     118, 135, 85, 102, 116, 78, 74, 71, 54, 70, 102, -146, -183, 
##     -212, -202, -205, -204, -199, -201, -194, -215, -208, -184, 
##     -198, -210, -202, -198, -196, -201, -196, -199, -199, -199, 
##     -202, -196, -200, -201, -199, -199, -198, -20, -5, -6, -10, 
##     -20, 4, 6, 4, 0, -10, -16, -13, -6, -4, 13, 17, 2, -242, 
##     -225, -224, -219, -196, -205, -214, -223, -202, -198, -192, 
##     -168, -166, -157, -170, -176, -174, -160, -150, -144, -151, 
##     -155, -154, -150, -147, -179, -138, -183, -200, -190, -192, 
##     -150, -153, -143, -128, -163, -197, -195, -161, -190, -195, 
##     -197, -184, -194, -194, -194, -206, -179, -171, -173, -203, 
##     -203, -203, -204, -202, -202, -199, -201, -202, -202, -201, 
##     -202, -202, -203, 30, 34, 34, 33, 36, 36, 36, 36, 36, 36, 
##     36, 36, 39, 39, 107, 103, 107, 118, 96, 103, 97, 99, 86, 
##     92, 93, 98, 87, 95, 97, 98, 103, 82, 88, 98, 99, 97, 98, 
##     92, 86, 100, 113, 116, 105, 100, 101, 80, 74, 58, 83, 66, 
##     70, 88, 114, 87, 101, 102, 91, 82, 87, 86, 86, 103, 80, 89, 
##     90, 85, 86, 75, 85, 79, 87, 101, 98, 97, 114, 104, 97, 91, 
##     95, 118, 90, 92, 98, 110, 107, 106, 103, 97, 89, 93, 73, 
##     48, 113, 97, 94, 27, 76, 71, 116, 104, 87, 110, 122, 80, 
##     100, 95, 85, 84, 79, 96, 111, 86, 95, 108, 110, 103, 108, 
##     4, 6, 8, 6, 19, 22, 35, 30, 50, 64, 66, 53, 46, 98, 88, 88, 
##     86, 78, 74, 56, 59, 42, 37, 4, 11, 17, 15, 11, 39, 34, 31, 
##     54, 56, 56, 49, 58, 85, 89, 87, 84, 84, 67, 56, 38, 36, 37, 
##     17, 9, 5, 13, -10, 2, -3, 1, 4, 3, 7, 25, 35, 46, 50, 48, 
##     43, 42, -66, -74, -75, -79, -77, -60, -80, -154, -164, -165, 
##     -167, -160, -173, -167, -168, -164, -176, -176), magnet_dumbbell_x = c(-561, 
##     -552, -558, -558, -564, -554, -552, -551, -557, -559, -558, 
##     -554, -557, -555, -563, -556, -562, -555, -556, -556, -560, 
##     -558, -563, -555, -560, -551, -560, -558, -557, -555, -553, 
##     -558, -555, -551, -557, -555, -557, -554, -553, -550, -556, 
##     -557, -553, -552, -556, -563, -555, -555, -562, -554, -558, 
##     -557, -558, -560, -550, -563, -556, -555, -557, -558, -558, 
##     -557, -557, -557, -559, -556, -566, -555, -561, -560, -559, 
##     -560, -555, -561, -559, -562, -558, -551, -551, -562, -559, 
##     -552, -552, -552, -552, -552, -552, -552, -552, -552, -552, 
##     -552, -552, -552, -526, -519, -522, -505, -497, -486, -471, 
##     499, 495, 493, 489, 491, 485, 485, 484, 478, 483, 459, 458, 
##     454, 458, 461, 463, 479, 474, 475, 477, 475, 478, 471, 486, 
##     479, 482, 485, 479, 480, 477, 476, 479, 480, 479, 479, 476, 
##     482, 482, 477, 476, 485, 488, 483, 482, 485, 480, 488, 482, 
##     481, 483, 478, 487, 478, 476, 478, 478, 483, 479, 473, 471, 
##     472, 477, 478, 479, 476, 483, 482, 479, 484, 484, 483, 486, 
##     484, 479, 480, 479, 481, 479, 487, 484, 494, 486, 491, 501, 
##     505, 506, 511, 508, 514, 512, 512, 511, 516, 520, 525, 521, 
##     504, 483, 503, 511, 511, 521, 519, 508, 507, 497, 501, 495, 
##     490, 484, 485, 483, 487, 508, 514, 511, 515, 518, 506, 514, 
##     511, 510, 510, 505, 496, 493, 492, 485, 495, 517, 514, 509, 
##     524, 520, 525, 528, 522, 520, 517, 517, 523, 515, 521, 517, 
##     512, 511, 517, 517, 508, 503, 498, 483, 497, 508, 517, 521, 
##     523, 530, 528, 527, 535, 527, 532, 526, 526, 528, 525, 522, 
##     515, 512, 513, 516, 520, 524, 516, 532, 518, 523, 525, 526, 
##     516, 519, 517, 519, 516, 503, 503, 489, 480, 490, 487, 495, 
##     499, 508, 512, 516, 524, 521, 525, 531, 540, 539, 539, 535, 
##     533, 534, 533, 530, 531, 527, 526, 520, 520, 510, 499, 510, 
##     505, 524, 521, 527, 524, 526, 534, 530, 538, 539, 522, 519, 
##     521, 524, 521, 522, 522, 520, 524, 526, 528, 526, 537, 544, 
##     532, 534, 538, 537, 532, 527, 529, 527, 520, 522, 532, 527, 
##     533, 530, 526, 519, 512, 523, 525, 533, 539, 542, 544, 549, 
##     551, 548, 542, 537, 535, 533, 522, 523, 538, 537, 537, 537, 
##     531, 538, 538, 543, 540, 551, 548, 546, 555, 550, 542, 533, 
##     531, 530, 539, 537, 556, 557, 556, 564, 556, 522, 509, 511, 
##     503, 515, 519, 518, 526, 531, 533, 534, 530, 536, 534, 521, 
##     530, 530, 531, 527, -568, -571, -575, -560, -566, -568, -567, 
##     -569, -568, -573, -569, -567, -568, -569, -571, -570, -564, 
##     -567, -568, -569, -567, -566, -575, -569, -571, -573, -572, 
##     -571, -574, -571, -573, -567, -569, -569, -575, -571, -577, 
##     -575, -574, -573, -572, -578, -577, -570, -579, -569, -571, 
##     -574, -569, -567, -578, -575, -575, -578, -577, -570, -581, 
##     -580, -581, -580, -573, -578, -583, -582, -586, -579, -580, 
##     -583, -579, -581, -583, -577, -572, -569, -571, -570, -580, 
##     -570, -570, -570, -579, -576, -578, -576, -584, -579, -582, 
##     -582, -582, -582, -578, -589, -584, -580, -586, -584, -586, 
##     -583, -590, -587, -587, -585, -585, -584, -587, -584, -586, 
##     -587, -589, -584, -584, -593, -583, -591, -590, -581, -581, 
##     -578, -580, -593, -581, -584, -583, -585, -584, -588, -592, 
##     -580, -584, -587, -587, -588, -594, -590, -475, -476, -484, 
##     -487, -494, -502, -500, -500, -505, -500, -506, -501, -506, 
##     -587, -591, -584, -591, -588, -592, -597, -589, -595, -594, 
##     -600, -593, -596, -593, -583, -591, -584, -595, -591, -596, 
##     -592, -590, -590, -590, -568, -564, -566, -564, -562, -570, 
##     -568, -568, -565, -571, -585, -592, -584, -584, -583, -589, 
##     -583, -585, -588, -586, -587, -588, -592, -590, -593, -590, 
##     -589, -599, -593, -596, -588, -566, -569, -564, -557, -565, 
##     -568, -563, -578, -572, -573, -580, -574, -571, -573, -566, 
##     -570, -572, -569, -567, -576, -578, -574, -581, -579, -584, 
##     -585, -580, -582, -576, -575, -574, -579, -577, -573, -575, 
##     -566, -575, -568, -574, -571, -575, -569, -579, -580, -579, 
##     -576, -577, -566, -568, -569, -575, -568, -575, -566, -574, 
##     -574, -570, -579, -581, -579, -572, -571, -566, -569, -567, 
##     -572, -568, -563, -559, -552, -552, -534, -529, -526, -531, 
##     -525, -531, -533, -530, -531, -530, -533, -536, -536, -540, 
##     -544, -544, -549, -558, -568, -568, -559, -544, -514, -516, 
##     -514, -514, -517, -510, -507, -511, -506, -513, -553, -554, 
##     -550, -547, -548, -547, -539, -539, -532, -532, -531, -535, 
##     -533, -527, -526, -529, -534, -524, -526, -529, -523, -531, 
##     -537, -542, -540, -545, -542, -543, -541, -542, -549, -535, 
##     -534, -534, -537, -530, -525, -526, -525, -516, -516, -518, 
##     -518, -515, -516, -513, -554, -552, -552, -548, -544, -540, 
##     -542, -538, -538, -548, -545, -542, -537, -537, -540, -533, 
##     -542, -540, -544, -557, -553, -530, -533, -526, -535, -536, 
##     -536, -533, -529, -530, -539, -549, -542, -541, -546, -546, 
##     -544, -551, -554, -548, -557, -544, -547, -548, -536, -539, 
##     -536, -533, -543, -542, -543, -542, -551, -542, -550, -552, 
##     -554, -555, -552, -547, -553, -554, -554, -549, -529, -534, 
##     -534, -542, -532, -532, -528, -532, -531, -534, -529, -531, 
##     -532, -539, -533, -531, -535, -539, -553, -555, -556, -560, 
##     -561, -564, -553, -559, -550, -549, -552, -554, -552, -554, 
##     -549, -559, -550, -553, -551, -560, -565, -547, -535, -526, 
##     -515, -521, -517, -519, -519, -521, -517, -514, -510, -511, 
##     -514, -547, -546, -550, -543, -548, -544, -552, -551, -556, 
##     -552, -551, -550, -548, -529, -534, -533, -523, -524, -522, 
##     -520, -525, -525, -522, -521, -521, -515, -512, -510, -516, 
##     -527, -520, -523, -537, -529, -539, -537, -548, -547, -544, 
##     -548, -548, -543, -547, -549, -547, -544, -547, -547, -543, 
##     -541, -542, -537, -541, -539, -537, -538, -539, -546, -549, 
##     -543, -502, -508, -516, -512, -516, -515, -512, -516, -520, 
##     -526, -527, -530, -531, -531, -530, -535, -534, -541, -535, 
##     -538, -541, -539, -545, -438, -438, -438, -438, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -369, -359, -356, -353, -349, -341, -330, -349, -362, 
##     -383, -391, -400, -409, -426, -427, -435, -430, -437, -436, 
##     -433, -435, -439, -437, -437, -432, -433, -434, -427, -425, 
##     -427, -424, -421, -427, -426, -425, -422, -436, -440, -441, 
##     -438, -434, -388, -379, -357, -350, -319, -307, -299, -267, 
##     -267, -267, -263, -259, -262, -270, -275, -280, -293, -332, 
##     -363, -371, -404, -407, -407, -418, -422, -426, -424, -431, 
##     -435, -428, -422, -428, -422, -419, -412, -411, -415, -411, 
##     -415, -407, -408, -422, -435, -424, -420, -418, -419, -416, 
##     -409, -403, -391, -385, -374, -368, -357, -307, -401, -395, 
##     -405, -407, -399, -409, -408, -415, -408, -406, -409, -410, 
##     -406, -430, -429, -438, -409, -385, -371, -367, -321, -304, 
##     -263, -262, -261, -260, -263, -256, -265, -268, -300, -324, 
##     -331, -339, -343, -407, -406, -406, -409, -406, -411, -398, 
##     -407, -417, -424, -427, -427, -432, -431, -423, -372, -356, 
##     -292, -289, -285, -284, -280, -261, -257, -299, -313, -342, 
##     -340, -351, -364, -374, -385, -293, -290, -295, -314, -325, 
##     -329, -345, -346, -355, -376, -377, -386, -391, -393, -390, 
##     -395, -408, -416, -415, -417, -412, -412, -411, -402, -383, 
##     -373, -370, -368, -362, -340, -334, -326, -298, -259, -275, 
##     -298, -315, -334, -336, -338, -343, -348, -357, -348, -348, 
##     -364, -364, -365, -364, -363, -368, -363, -373, -366, -384, 
##     -384, -394, -392, -410, -420, -417, -418, -410, -414, -412, 
##     -414, -406, -412, -396, -392, -356, -330, -273, -265, -230, 
##     -232, -231, -237, -259, -256, -259, -275, -412, -418, -430, 
##     -434, -450, -444, -429, -423, -422, -415, -407, -416, -408, 
##     -415, -423, -425, -430, -438, -442, -445, -445, -438, -438, 
##     -434, -431, -442, -437, -436, -442, -438, -435, -441, -432, 
##     -438, -437, -439, -443, -432, -440, -442, -449, -445, -445, 
##     -445, -448, -448, -444, -457, -456, -463, -456, -470, -474, 
##     -453, -403, -379, -368, -175, 23, 142, 161, 202, 202, 236, 
##     230, 221, 198, 70, -193, -205, -341, -351, -363, -466, -463, 
##     -475, -470, -474, -481, -482, -489, -491, -484, -492, -489, 
##     -490, -457, -403, -354, -354, -560, -557, -561, -564, -558, 
##     -563, -564, -559, -558, -554, -552, -558, -559, -556, -558, 
##     -559, -562, -561, -554, -562, -557, -563, -554, -565, -560, 
##     -553, -560, -562, -558, -567, -559, -563, -565, -561, -559, 
##     -557, -551, -565, -564, -559, -556, -560, -560, -556, -556, 
##     -563, -562, -564, -556, -559, -559, -564, -560, -567, -561, 
##     -554, -552, -558, -563, -560, -558, -553, -554, -557, -568, 
##     -558, -561, -564, -556, -566, -560, -562, -560, -565, -563, 
##     -560, -564, -567, -560, -560, -565, -561, -561, -566, -559, 
##     -558, -556, -556, -555, -563, -566, -558, -565, -561, -563, 
##     -558, -561, -550, -554, -563, -562, -555, -562, -559, -559, 
##     -561, -561, -557, -559, -561, -560, -556, -560, -552, -554, 
##     -561, -566, -557, -559, -563, -553, -551, -550, -551, -550, 
##     -551, -552, -559, -550, -557, -554, -563, -556, -547, -552, 
##     -550, -546, -533, -508, -501, -506, -509, -514, -513, -516, 
##     -519, -513, -516, -518, -518, -520, -511, -522, -518, -516, 
##     -518, -522, -523, -520, -518, -518, -515, -519, -516, -517, 
##     -516, -525, -526, -524, -536, -528, -528, -531, -525, -530, 
##     -530, -527, -523, -526, -524, -522, -528, -530, -521, -520, 
##     -517, -519, -521, -526, -519, -524, -526, -519, -525, -525, 
##     -520, -519, -518, -516, -522, -521, -515, -518, -519, -518, 
##     -524, -522, -521, -524, -520, -519, -517, -460, -456, -456, 
##     -453, -457, -472, -474, -482, -494, -496, -506, -509, -504, 
##     -513, -515, -518, -519, -519, -509, -514, -513, -510, -505, 
##     -514, -506, -511, -507, -513, -514, -518, -532, -531, -533, 
##     -524, -528, -535, -540, -542, -541, -533, -527, -527, -527, 
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##     -431, -462, -472, -505, -509, -503, -494, -451, -195, 53, 
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##     -455, -426, -423, -418, -408, -411, -402, -388, -383, -376, 
##     -379, -385, -398, -409, -404, -419, -419, -425, -427, -445, 
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##     -565, -575, -568, -565, -569, -577, -584, -585, -587, -593, 
##     -617, -618, -616, -617, -624, -619, -625, -622, -627, -625, 
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##     -394, -364, -316, -307, -150, -76, -71, -4, 8, 19, 26, 37, 
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##     -512, -523, -527, -542, -549, -551, -554, -567, -599, -603, 
##     -605, -610, -602, -597, -585, -567, -88, -93, -93, -104, 
##     -157, -510, -531, -538, -541, -433, -402, -353, -342, -313, 
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##     -567, -566, -564, -567, -569, -569, -571, -572, -582, -581, 
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##     555, 550, 530, 521, 492, 451, 439, 385, 348, 261, 249, 251, 
##     229, 210, 196, 186, 125, 135, 152, 202, 376, 387, 431, 483, 
##     489, 515, 518, 528, 539, 556, 566, 565, 562, 540, 536, 532, 
##     507, 418, 258, 228, 228, 218, 216, 212, 223, 229, 226, 247, 
##     246, 245, 248, 346, 367, 399, 146, 144, 160, 174, 191, 212, 
##     205, 229, 241, 277, 370, 438, 453, 484, 313, 307, 256, 217, 
##     184, 200, 210, 240, 274, 287, 289, 301, 294, 296, 299, 311, 
##     321, 353, 406, 417, 439, 555, 559, 573, 575, 575, 571, 557, 
##     545, 523, 488, 433, 550, 548, 543, 424, 356, 306, 228, 226, 
##     225, 226, 230, 246, 261, 294, 312, 313, 325, 320, 316, 356, 
##     428, 458, 465, 503, 526, 563, 582, -459, -467, -528, -568, 
##     -566, -570, -568, -568, -567, -565, -553, -543, -549, -542, 
##     -535, -531, -527, -521, -525, -521, -527, -522, -526, -529, 
##     -518, -525, -519, -530, -524, -513, -517, -519, -527, -517, 
##     -506, -505, -478, -459, -452, -446, -438, -419, -385, -339, 
##     -331, -320, -531, -549, -564, -565, -572, -570, -567, -560, 
##     -541, -540, -534, -468, -386, -362, -296, -276, -259, -301, 
##     -298, -303, -313, -315, -340, -376, -419, -453, -451, -467, 
##     -482, -498, -525, -309, -332, -396, -403, -434, -453, -462, 
##     -480, -493, -500, -507, -523, -519, -530, -519, -510, -502, 
##     -487, -478, -534, -536, -528, -531, -526, -525, -525, -527, 
##     -528, -530, -531, -527, -530, -523, -478, -479, -473, -472, 
##     -474, -478, -478, -478, -478, -478, -478, -478, -472, -472, 
##     -121, -141, -187, -244, -298, -306, -318, -313, -328, -359, 
##     -345, -349, -344, -336, -329, -320, -327, -373, -363, -267, 
##     -241, -182, -173, -151, -120, -111, -107, -179, -288, 348, 
##     327, 271, 259, 235, 234, 264, 283, 280, 279, 308, 324, 397, 
##     399, 418, 466, 479, 532, 548, 528, 553, 568, 575, 579, 577, 
##     577, 577, 559, 487, 471, 459, 372, 338, 454, 471, 482, 505, 
##     530, 514, 517, 505, 486, 314, 290, 199, 178, 163, 131, 124, 
##     220, 198, 184, 61, 55, 183, 265, 276, 284, 296, 303, 377, 
##     554, 563, 583, 583, 583, 584, 532, 493, 472, 389, 366, 215, 
##     189, -585, -586, -578, -579, -564, -555, -558, -442, -385, 
##     -360, -360, -299, -271, -226, -274, -287, -323, -372, -378, 
##     -407, -418, -505, -539, -552, -574, -576, -577, -586, -499, 
##     -454, -307, -190, -183, -167, -155, -141, -135, -131, -148, 
##     -163, -185, -248, -472, -502, -542, -552, -558, -555, -570, 
##     -580, -607, -614, -604, -590, -587, -584, -571, -564, -552, 
##     -540, -496, -407, -359, -342, -78, 10, 15, -8, -17, -54, 
##     -219, -568, -567, -574, -576, -595, -609, -624, -618, -618, 
##     -628, -627), magnet_dumbbell_y = c(298, 303, 294, 291, 299, 
##     291, 302, 296, 292, 295, 302, 299, 294, 290, 294, 297, 298, 
##     299, 298, 296, 293, 290, 287, 290, 294, 297, 299, 290, 294, 
##     293, 290, 294, 289, 304, 298, 295, 291, 297, 300, 298, 294, 
##     291, 293, 295, 291, 295, 291, 294, 296, 295, 287, 296, 294, 
##     292, 294, 289, 287, 290, 291, 293, 290, 293, 293, 292, 291, 
##     293, 292, 284, 293, 290, 294, 292, 298, 296, 292, 296, 292, 
##     292, 295, 294, 303, 290, 290, 290, 290, 290, 290, 290, 290, 
##     290, 290, 290, 290, 290, 351, 346, 351, 375, 384, 397, 402, 
##     -562, -557, -561, -568, -565, -569, -566, -563, -578, -571, 
##     -583, -586, -584, -586, -576, -578, -573, -566, -569, -569, 
##     -574, -567, -566, -561, -563, -563, -566, -565, -563, -565, 
##     -567, -565, -563, -567, -565, -564, -568, -567, -563, -571, 
##     -560, -559, -557, -555, -557, -559, -553, -566, -563, -557, 
##     -567, -553, -555, -557, -562, -562, -569, -567, -566, -565, 
##     -565, -562, -559, -560, -564, -567, -569, -565, -558, -567, 
##     -561, -568, -558, -561, -564, -564, -554, -565, -559, -560, 
##     -554, -557, -558, -547, -544, -538, -531, -543, -546, -540, 
##     -534, -539, -531, -531, -529, -526, -552, -562, -546, -539, 
##     -534, -533, -533, -523, -539, -560, -550, -552, -558, -556, 
##     -562, -568, -562, -542, -535, -538, -531, -531, -532, -527, 
##     -527, -538, -545, -541, -548, -556, -561, -565, -561, -534, 
##     -533, -532, -535, -525, -519, -520, -516, -536, -532, -521, 
##     -533, -531, -524, -527, -538, -532, -521, -529, -541, -545, 
##     -545, -561, -555, -535, -534, -533, -525, -515, -520, -510, 
##     -508, -512, -505, -508, -514, -517, -522, -525, -533, -539, 
##     -535, -525, -532, -528, -530, -522, -524, -518, -519, -519, 
##     -531, -526, -533, -531, -522, -538, -540, -553, -563, -557, 
##     -557, -550, -553, -545, -529, -519, -522, -526, -525, -509, 
##     -514, -507, -511, -522, -512, -514, -517, -517, -512, -522, 
##     -517, -516, -532, -535, -539, -536, -536, -535, -520, -522, 
##     -524, -524, -525, -525, -513, -515, -520, -524, -525, -528, 
##     -534, -533, -534, -532, -531, -523, -517, -519, -506, -515, 
##     -516, -516, -513, -515, -511, -516, -520, -517, -519, -525, 
##     -522, -521, -515, -520, -524, -527, -533, -520, -516, -517, 
##     -503, -508, -504, -501, -498, -498, -497, -506, -499, -521, 
##     -529, -520, -509, -504, -504, -506, -507, -509, -502, -505, 
##     -509, -495, -486, -494, -477, -487, -506, -510, -508, -518, 
##     -509, -512, -488, -486, -479, -481, -479, -516, -521, -533, 
##     -541, -539, -524, -526, -521, -518, -514, -514, -508, -512, 
##     -516, -516, -524, -520, -519, -531, 262, 254, 263, 255, 262, 
##     260, 250, 259, 250, 255, 259, 256, 260, 261, 257, 259, 263, 
##     254, 262, 253, 260, 261, 258, 258, 254, 252, 253, 249, 251, 
##     259, 261, 253, 257, 262, 263, 270, 264, 259, 264, 261, 262, 
##     265, 259, 265, 259, 265, 260, 262, 259, 259, 253, 253, 250, 
##     250, 254, 255, 251, 245, 245, 247, 250, 246, 243, 241, 241, 
##     236, 244, 241, 243, 243, 249, 244, 246, 259, 262, 261, 264, 
##     262, 258, 250, 250, 246, 247, 252, 253, 254, 242, 258, 244, 
##     247, 246, 243, 246, 236, 241, 239, 244, 239, 240, 238, 233, 
##     234, 234, 245, 238, 234, 230, 230, 236, 221, 231, 238, 229, 
##     237, 234, 235, 232, 238, 233, 233, 246, 235, 232, 238, 233, 
##     228, 233, 227, 230, 220, 223, 225, 232, 226, 376, 384, 375, 
##     371, 364, 364, 361, 361, 358, 362, 360, 360, 367, 219, 215, 
##     215, 222, 223, 226, 219, 216, 222, 214, 208, 207, 215, 217, 
##     217, 228, 232, 227, 223, 230, 233, 236, 235, 246, 262, 255, 
##     249, 254, 251, 255, 255, 260, 262, 248, 240, 247, 253, 247, 
##     244, 244, 239, 248, 248, 235, 240, 234, 232, 236, 230, 244, 
##     238, 234, 233, 227, 234, 269, 263, 274, 274, 275, 271, 260, 
##     239, 237, 232, 231, 226, 233, 235, 231, 235, 235, 233, 235, 
##     228, 232, 225, 225, 226, 223, 242, 233, 234, 241, 242, 249, 
##     247, 246, 244, 256, 257, 246, 245, 247, 241, 234, 234, 226, 
##     240, 235, 238, 237, 233, 240, 233, 237, 241, 247, 233, 243, 
##     232, 236, 235, 235, 229, 233, 245, 251, 259, 255, 256, 263, 
##     268, 271, 286, 294, 312, 318, 319, 328, 318, 312, 307, 305, 
##     309, 303, 301, 303, 297, 296, 288, 277, 279, 270, 261, 257, 
##     259, 290, 335, 342, 351, 353, 360, 364, 374, 372, 376, 377, 
##     278, 288, 289, 295, 296, 299, 311, 320, 316, 319, 323, 322, 
##     315, 326, 326, 328, 327, 318, 322, 317, 321, 314, 306, 288, 
##     297, 290, 291, 300, 297, 298, 296, 306, 307, 312, 324, 335, 
##     331, 335, 351, 354, 357, 356, 363, 362, 361, 354, 286, 290, 
##     281, 285, 292, 292, 303, 294, 296, 287, 292, 293, 297, 305, 
##     302, 307, 293, 294, 274, 272, 279, 331, 327, 329, 342, 342, 
##     340, 345, 340, 337, 330, 316, 313, 311, 315, 307, 300, 294, 
##     288, 290, 291, 292, 300, 304, 312, 309, 309, 301, 297, 296, 
##     296, 293, 290, 298, 280, 286, 279, 279, 291, 294, 290, 289, 
##     289, 311, 324, 326, 329, 326, 332, 343, 343, 346, 340, 343, 
##     341, 345, 335, 334, 328, 332, 329, 310, 288, 291, 279, 279, 
##     280, 270, 283, 276, 287, 290, 284, 284, 279, 278, 271, 280, 
##     281, 281, 270, 266, 260, 295, 305, 330, 349, 354, 352, 345, 
##     349, 354, 356, 366, 366, 373, 368, 297, 299, 294, 293, 294, 
##     297, 289, 271, 273, 278, 279, 291, 300, 337, 327, 334, 343, 
##     346, 351, 343, 351, 348, 345, 348, 359, 358, 354, 356, 362, 
##     358, 357, 352, 322, 317, 311, 313, 309, 307, 299, 299, 296, 
##     297, 294, 295, 296, 297, 300, 307, 300, 304, 303, 305, 295, 
##     305, 303, 313, 308, 300, 304, 294, 379, 370, 375, 365, 361, 
##     359, 358, 359, 351, 349, 329, 334, 342, 335, 332, 327, 327, 
##     318, 307, 310, 311, 305, 301, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 369, 376, 373, 397, 404, 
##     408, 417, 398, 389, 364, 347, 335, 319, 294, 281, 281, 281, 
##     276, 274, 267, 253, 248, 240, 232, 232, 229, 229, 239, 246, 
##     249, 252, 252, 255, 253, 257, 254, 248, 248, 264, 271, 276, 
##     323, 328, 350, 361, 377, 388, 390, 423, 426, 432, 437, 435, 
##     436, 418, 410, 404, 395, 355, 330, 322, 291, 293, 292, 287, 
##     276, 268, 262, 265, 256, 242, 245, 261, 258, 250, 258, 262, 
##     263, 263, 266, 265, 260, 247, 245, 250, 255, 260, 268, 274, 
##     280, 310, 307, 321, 329, 344, 346, 396, 274, 253, 250, 250, 
##     241, 234, 239, 241, 243, 248, 243, 247, 236, 227, 240, 239, 
##     283, 308, 326, 329, 367, 375, 403, 413, 412, 414, 414, 410, 
##     408, 396, 363, 340, 349, 341, 333, 249, 247, 252, 252, 253, 
##     247, 254, 248, 243, 235, 237, 247, 250, 255, 264, 312, 335, 
##     380, 387, 392, 393, 393, 401, 399, 358, 337, 325, 321, 314, 
##     300, 284, 265, 379, 383, 365, 341, 334, 329, 322, 309, 312, 
##     273, 267, 255, 259, 247, 249, 244, 228, 234, 232, 235, 242, 
##     257, 264, 262, 297, 306, 309, 310, 323, 332, 343, 344, 374, 
##     366, 361, 338, 327, 320, 315, 318, 308, 316, 299, 296, 294, 
##     284, 284, 279, 285, 280, 276, 280, 275, 270, 273, 264, 261, 
##     255, 250, 250, 245, 236, 245, 241, 246, 247, 265, 264, 285, 
##     289, 315, 331, 364, 365, 397, 393, 394, 387, 375, 380, 373, 
##     360, 240, 230, 226, 215, 212, 222, 250, 264, 266, 265, 281, 
##     278, 279, 276, 263, 253, 245, 237, 232, 234, 241, 235, 239, 
##     243, 232, 236, 236, 235, 234, 239, 242, 239, 244, 236, 239, 
##     240, 240, 237, 234, 246, 229, 236, 232, 235, 231, 226, 230, 
##     217, 221, 227, 221, 211, 220, 244, 281, 299, 304, 368, 390, 
##     397, 404, 395, 394, 381, 385, 381, 387, 409, 378, 379, 315, 
##     305, 298, 205, 192, 185, 198, 188, 192, 195, 195, 189, 189, 
##     190, 175, 187, 202, 253, 282, 285, 293, 295, 290, 292, 293, 
##     286, 287, 284, 289, 292, 298, 296, 294, 295, 296, 293, 293, 
##     295, 304, 303, 297, 292, 296, 296, 294, 295, 288, 291, 290, 
##     288, 293, 292, 294, 295, 289, 292, 294, 294, 291, 297, 294, 
##     287, 290, 287, 283, 293, 292, 294, 298, 297, 294, 294, 286, 
##     292, 295, 289, 292, 297, 290, 291, 290, 298, 288, 290, 290, 
##     290, 281, 292, 291, 293, 284, 286, 288, 295, 290, 293, 286, 
##     287, 290, 290, 284, 292, 289, 291, 295, 294, 293, 290, 295, 
##     293, 295, 299, 295, 288, 291, 296, 300, 292, 292, 296, 292, 
##     300, 296, 290, 287, 290, 294, 296, 287, 286, 294, 296, 294, 
##     287, 293, 292, 300, 292, 291, 289, 296, 295, 297, 298, 301, 
##     300, 297, 306, 304, 298, 302, 297, 296, 303, 305, 301, 314, 
##     343, 364, 365, 360, 354, 349, 342, 353, 344, 351, 345, 345, 
##     344, 337, 335, 335, 341, 340, 333, 329, 345, 336, 346, 343, 
##     338, 328, 336, 334, 322, 322, 322, 329, 320, 323, 318, 321, 
##     316, 318, 314, 319, 323, 330, 320, 325, 328, 323, 325, 320, 
##     329, 335, 326, 329, 326, 332, 332, 328, 331, 334, 341, 332, 
##     339, 331, 340, 335, 342, 333, 337, 338, 337, 335, 331, 334, 
##     330, 327, 329, 431, 426, 433, 432, 422, 417, 409, 400, 381, 
##     374, 373, 355, 351, 347, 352, 356, 351, 361, 362, 367, 363, 
##     363, 360, 364, 360, 366, 356, 355, 356, 357, 343, 338, 328, 
##     334, 331, 325, 328, 318, 319, 329, 331, 331, 331, 346, 357, 
##     359, 373, 386, 394, 390, 385, 377, 370, 366, 363, 359, 356, 
##     347, 346, 345, 347, 343, 340, 343, 347, 349, 346, 344, 358, 
##     347, 356, 356, 367, 359, 357, 356, 350, 348, 331, 335, 337, 
##     323, 325, 325, 342, 343, 360, 374, 368, 353, 336, 335, 334, 
##     328, 328, 339, 344, 352, 348, 343, 345, 358, 354, 342, 336, 
##     329, 328, 321, 330, 329, 318, 321, 324, 323, 318, 327, 328, 
##     327, 328, 327, 356, 380, 377, 377, 371, 365, 359, 364, 350, 
##     342, 335, 333, 330, 320, 319, 311, 313, 306, 311, 325, 331, 
##     332, 341, 356, 355, 330, 322, 327, 314, 301, 296, 289, 295, 
##     295, 296, 306, 298, 297, 303, 319, 353, 339, 327, 306, 307, 
##     310, 306, 311, 317, 322, 320, 328, 325, 330, 340, 336, 341, 
##     333, 328, 326, 318, 310, 298, 304, 296, 294, 308, 304, 302, 
##     296, 315, 319, 324, 327, 338, 345, 348, 341, 329, 328, 316, 
##     325, 321, 314, 316, 324, 325, 356, 350, 356, 361, 353, 344, 
##     341, 329, 325, 327, 329, 313, 324, 314, 311, 313, 316, 322, 
##     320, 347, 343, 356, 344, 328, 320, 310, 317, 317, 317, 316, 
##     314, 327, 319, 321, 324, 324, 317, 308, 304, 299, 305, 301, 
##     310, 298, 296, 300, 302, 307, 303, 312, 334, 353, 332, 318, 
##     303, 294, 293, 298, 295, 306, 307, 311, 318, 323, 334, 338, 
##     358, 358, 366, 358, 357, 338, 328, 324, 321, 310, 303, 312, 
##     309, 315, 319, 326, 344, 346, 344, 360, 351, 348, 340, 332, 
##     329, 324, 316, 309, 314, 318, 310, 303, 308, 305, 315, 307, 
##     297, 300, 311, 328, 353, 352, 357, 348, 340, 329, 326, 310, 
##     297, 315, 309, 324, 327, 324, 323, 323, 315, 327, 324, 308, 
##     308, 309, 304, 294, 302, 298, 307, 308, 307, 314, 309, 312, 
##     310, 308, 310, 303, 308, 309, 308, 303, 302, 311, 310, 308, 
##     307, 305, 312, 301, 308, 303, 307, 310, 309, 300, 306, 303, 
##     294, 303, 302, 304, 308, 312, 326, 324, 331, 327, 329, 332, 
##     334, 334, 332, 329, 334, 330, 331, 335, 326, 331, 324, 329, 
##     334, 333, 329, 333, 326, 334, 327, 342, 335, 336, 335, 338, 
##     334, 337, 328, 333, 336, 332, 331, 335, 330, 334, 333, 334, 
##     337, 335, 328, 331, 330, 338, 330, 334, 341, 331, 344, 326, 
##     338, 331, 341, 336, 330, 340, 331, 334, 340, 335, 330, 333, 
##     338, 330, 335, 332, 329, 338, 329, 333, 336, 330, 337, 332, 
##     335, 335, 337, 336, 333, 332, 330, 333, 335, 336, 332, 335, 
##     333, 340, 326, 332, 340, 329, 338, 334, 330, 333, 329, 338, 
##     329, 329, 330, 328, 326, 335, 325, 326, 335, 323, 327, 334, 
##     329, 326, 328, 329, 337, 335, 337, 334, 344, 339, 335, 335, 
##     328, 335, 326, 323, 329, 327, 328, 328, 330, 332, 336, 332, 
##     330, 330, 329, 340, 334, 332, 327, 332, 328, 327, 328, 330, 
##     321, 328, 325, 326, 321, 322, 321, 320, 319, 319, 322, 320, 
##     322, 317, 315, 316, 317, 317, 321, 311, 321, 319, 325, 315, 
##     318, 314, 316, 323, 316, 318, 321, 318, 314, 318, 323, 312, 
##     311, 308, 318, 323, 335, 336, 338, 350, 358, 375, 392, 391, 
##     396, 405, 415, 416, 439, 447, 446, 441, 438, 437, 435, 428, 
##     419, 414, 418, 397, 407, 400, 396, 394, 401, 395, 388, 383, 
##     340, 336, 337, 329, 324, 325, 336, 351, 345, 353, 361, 380, 
##     417, 422, 452, 457, 463, 462, 468, 462, 463, 457, 459, 466, 
##     456, 452, 454, 447, 450, 442, 439, 434, 432, 422, 417, 421, 
##     420, 362, 371, 373, 377, 377, 377, 388, 401, 410, 414, 444, 
##     462, 469, 462, 471, 466, 461, 454, 442, 444, 452, 444, 443, 
##     455, 451, 446, 424, 408, 410, 362, 350, 373, 370, 388, 406, 
##     413, 424, 460, 466, 462, 469, 473, 476, 480, 481, 487, 473, 
##     468, 465, 462, 459, 448, 445, 423, 426, 389, 367, 354, 357, 
##     358, 370, 395, 422, 431, 430, 436, 423, 424, 415, 413, 411, 
##     405, 402, 407, 406, 401, 395, 388, 352, 340, 345, 361, 364, 
##     378, 379, 376, 396, 412, 415, 434, 427, 435, 420, 420, 422, 
##     433, 409, 410, 415, 407, 406, 403, 406, 399, 396, 401, 396, 
##     394, 380, 367, 371, 346, 338, 341, 334, 355, 351, 374, 389, 
##     394, 424, 425, 436, 431, 398, 415, 407, 405, 399, 393, 386, 
##     376, 377, 379, 368, 373, 360, 343, 310, 313, 291, 296, 303, 
##     309, 302, 302, 311, 335, 343, 372, 381, 392, 401, 407, 398, 
##     382, 381, 382, 400, 400, 386, 401, 390, 382, 388, 389, 388, 
##     381, 375, 367, 370, 361, 364, 373, 366, 369, 336, 336, 349, 
##     351, 360, 372, 393, 386, 404, 408, 426, 438, 443, 432, 436, 
##     443, 450, 450, 439, 439, 420, 379, 376, 382, 341, 329, 319, 
##     353, 354, 366, 384, 409, 221, 227, 245, 244, 238, 229, 225, 
##     228, 226, 225, 230, 232, 238, 232, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 310, 309, 319, 358, 360, 372, 
##     369, 374, 371, 372, 376, 377, 292, 292, 287, 285, 283, 287, 
##     283, 279, 280, 271, 279, 278, 281, 292, 308, 359, 320, 303, 
##     297, 287, 286, 293, 284, 282, 273, 357, 356, 358, 348, 342, 
##     322, 320, 313, 285, 279, 278, 286, 354, 354, 350, 336, 339, 
##     327, 323, 321, 310, 279, 278, 272, 351, 355, 373, 377, 383, 
##     390, 373, 340, 338, 308, 294, 232, 229, 232, 234, 228, 236, 
##     244, 244, 240, 232, 242, 248, 249, 256, 283, 312, 334, 277, 
##     275, 274, 275, 267, 266, 257, 246, 238, 311, 310, 317, 304, 
##     308, 306, 311, 305, 302, 307, 307, 299, 305, 306, 306, 314, 
##     301, 297, 293, 302, 298, 306, 304, 303, 314, 310, 311, 312, 
##     314, 306, 312, 314, 318, 315, 318, 312, 302, 298, 308, 312, 
##     303, 304, 297, 303, 305, 304, 300, 302, 291, 280, 292, 293, 
##     299, 292, 295, 298, 299, 290, 292, 308, 306, 292, 291, 292, 
##     291, 294, 297, 292, 297, 300, 297, 294, 295, 302, 298, 296, 
##     288, 289, 296, 293, 298, 287, 294, 279, 281, 292, 287, 299, 
##     290, 296, 304, 299, 293, 304, 296, 288, 290, 287, 279, 276, 
##     281, 272, 273, 274, 280, 293, 337, 350, 346, 312, 312, 324, 
##     317, 329, 335, 337, 339, 334, 347, 335, 335, 342, 344, 343, 
##     342, 337, 343, 339, 336, 341, 335, 335, 338, 343, 331, 327, 
##     332, 334, 330, 330, 326, 326, 332, 322, 313, 309, 291, 283, 
##     283, 286, 281, 288, 287, 310, 319, 322, 325, 336, 346, 351, 
##     353, 359, 348, 336, 341, 338, 339, 331, 327, 330, 327, 325, 
##     316, 318, 313, 320, 314, 329, 319, 325, 336, 340, 329, 339, 
##     341, 335, 337, 336, 339, 346, 342, 342, 345, 357, 352, 341, 
##     338, 336, 331, 329, 333, 330, 322, 327, 331, 331, 329, 334, 
##     331, 352, 348, 352, 350, 353, 346, 350, 349, 349, 349, 340, 
##     338, 334, 335, 336, 333, 328, 329, 331, 339, 332, 339, 350, 
##     345, 352, 337, 344, 330, 331, 335, 335, 340, 346, 335, 341, 
##     348, 344, 342, 347, 351, 358, 354, 356, 362, 356, 358, 351, 
##     356, 355, 355, 355, 366, 364, 369, 363, 363, 369, 365, 357, 
##     362, 360, 378, 383, 376, 384, 376, 375, 371, 365, 366, 361, 
##     360, 368, 366, 367, 375, 370, 368, 371, 370, 374, 369, 359, 
##     358, 359, 361, 360, 368, 367, 367, 383, 378, 379, 382, 390, 
##     376, 375, 373, 375, 372, 377, 367, 362, 366, 363, 357, 366, 
##     374, 363, 371, 359, 358, 360, 367, 368, 363, 373, 368, 368, 
##     372, 368, 372, 369, 373, 383, 383, 384, 394, 392, 385, 394, 
##     390, 397, 386, 377, 378, 374, 370, 358, 371, 371, 373, 366, 
##     366, 367, 371, 373, 367, 373, 377, 372, 368, 372, 369, 378, 
##     372, 372, 375, 373, 368, 375, 371, 370, 371, 378, 367, 378, 
##     382, 395, 401, 405, 408, 404, 397, 395, 388, 384, 375, 361, 
##     351, 333, 333, 333, 329, 337, 340, 335, 339, 336, 331, 336, 
##     322, 331, 330, 326, 326, 313, 314, 311, 307, 309, 306, 310, 
##     313, 312, 311, 369, 399, 408, 394, 386, 376, 375, 380, 369, 
##     365, 369, 363, 371, 373, 381, 380, 389, 383, 384, 392, 386, 
##     388, 386, 306, 295, 310, 306, 305, 298, 293, 292, 299, 308, 
##     311, 319, 307, 308, 309, 311, 298, 304, 295, 295, 293, 297, 
##     298, 311, 314, 310, 340, 340, 353, 355, 363, 371, 375, 384, 
##     384, 381, 396, 375, 360, 324, 323, 320, 309, 311, 312, 302, 
##     297, 308, 305, 297, 305, 298, 296, 299, 303, 300, 296, 303, 
##     285, 287, 293, 304, 308, 295, 289, 294, 286, 318, 323, 327, 
##     326, 324, 324, 338, 342, 341, 347, 351, 361, 393, 392, 396, 
##     387, 378, 385, 378, 376, 375, 375, 369, 370, 372, 372, 373, 
##     374, 372, 378, 369, 367, 369, 343, 357, 360, 359, 364, 362, 
##     357, 350, 347, 338, 341, 342, 344, 330, 334, 324, 322, 311, 
##     317, 317, 320, 321, 329, 348, 335, 342, 287, 287, 286, 283, 
##     281, 278, 277, 280, 278, 271, 269, 315, 318, 319, 320, 310, 
##     310, 316, 302, 306, 307, 298, 297, 299, 330, 339, 331, 330, 
##     328, 336, 331, 333, 332, 340, 336, 338, 333, 334, 332, 331, 
##     330, 328, 337, 344, 342, 344, 338, 339, 337, 339, 338, 339, 
##     343, 338, 342, 335, 332, 332, 341, 329, 366, 345, 333, 328, 
##     291, 249, 238, 232, 225, 224, 233, 239, 242, 252, 281, 291, 
##     332, 336, 372, 371, 257, 255, 244, 241, 242, 233, 238, 244, 
##     239, 244, 240, 233, 239, 231, 231, 287, 271, 253, 251, 253, 
##     247, 237, 238, 235, 232, 242, 246, 251, 242, 247, 248, 419, 
##     407, 373, 346, 328, 332, 326, 319, 315, 305, 305, 295, 290, 
##     280, 260, 281, 281, 281, 281, 281, 281, 281, 285, 288, 288, 
##     298, 309, 309, 307, 307, 317, 317, 317, 317, 329, 236, 239, 
##     237, 245, -66, 240, 245, 241, 238, 245, 242, 239, 244, 232, 
##     242, 241, 230, 229, 237, 230, 227, 228, 235, 230, 231, 240, 
##     230, 231, 226, 237, 234, 233, 231, 234, 234, 225, 224, 227, 
##     229, 223, 231, 230, 229, 226, 232, 227, 233, -500, -504, 
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##     -516, -512, -495, -506, -521, -522, -515, -514, -512, -517, 
##     -515, -513, -487, -527, -523, -514, -515, -502, -497, -495, 
##     -480, -495, -520, -516, -505, -507, -513, -539, -539, -536, 
##     -534, -541, -548, -553, -553, -548, -544, -533, -534, -527, 
##     -537, -543, -547, -566, -563, 318, 329, 323, 322, 335, 333, 
##     342, 334, 338, 337, 333, 329, 325, 314, 313, 311, -529, -529, 
##     -516, -519, -512, -515, -514, -507, -523, -513, -519, -513, 
##     -517, -512, -552, -552, -556, -538, -532, -519, -523, -511, 
##     -498, -501, -494, -497, -514, -534, -538, -546, -543, -537, 
##     -535, -542, -542, -537, -542, -547, -538, -540, -545, -540, 
##     -551, -545, -545, -547, -543, -541, -670, -654, -670, -689, 
##     -707, -702, -696, -685, -668, -648, -646, -629, -619, -606, 
##     -596, -563, -557, -548, -549, -548, -541, -539, -521, -521, 
##     -505, -504, -511, -515, -524, -541, -550, -557, -572, -590, 
##     -610, -653, -673, -689, -689, -703, -702, -696, -677, -678, 
##     -671, -657, -616, -601, -588, -586, -577, -575, -566, -558, 
##     -562, -552, -528, -517, -582, -632, -674, -678, -694, -697, 
##     -710, -708, -718, -719, -724, -708, -705, -705, -655, -653, 
##     -643, -616, -564, -542, -529, -528, -560, -559, -587, -611, 
##     -661, -668, -710, -717, -719, -721, -713, -723, -511, -508, 
##     -517, -533, -535, -541, -586, -604, -622, -645, -677, -707, 
##     -711, -724, -719, -724, -730, -719, -702, -653, -628, -616, 
##     -616, -593, -577, -561, -565, -530, -495, -494, -496, -509, 
##     -515, -515, -523, -552, -605, -630, -660, -694, -715, -725, 
##     -723, -725, -722, -712, -709, -696, -700, -680, -670, -573, 
##     -515, -533, -707, -706, -687, -681, -659, -662, -650, -647, 
##     -618, -597, -556, -544, -506, -498, -491, -462, -472, -462, 
##     -470, -483, -528, -558, -593, -602, -629, -661, -689, -694, 
##     -702, -714, -727, -722, -724, -716, -711, -704, -704, -709, 
##     -698, -692, -686, -645, -633, -626, -600, -579, -573, -546, 
##     -516, -516, -510, -501, -490, -479, 302, 336, 361, 363, 374, 
##     376, 379, 342, 344, 367, 360, 386, 394, 401, 407, 402, 406, 
##     405, 405, 399, 401, 398, 391, 388, 391, 406, 413, 406, 412, 
##     405, 403, 416, 405, 394, 390, 384, 386, 363, 322, 281, 263, 
##     258, 223, 213, 214, 178, 181, 181, 181, 185, 190, 183, 177, 
##     180, 175, 179, 212, 240, 241, 273, 281, 296, 312, 350, 353, 
##     376, 373, 381, 386, 381, 385, 393, 393, 396, 387, 377, 371, 
##     366, 379, 380, 388, 400, 399, 400, 389, 392, 392, 216, 247, 
##     282, 287, 307, 324, 332, 330, 338, 351, 359, 376, 388, 394, 
##     389, 387, 380, 374, 369, 355, 367, 384, 397, 404, 406, 404, 
##     394, 397, 388, 367, 349, 323, 295, 264, 259, 259, 259, 241, 
##     185, 179, 165, 155, 151, 149, 164, 177, 213, 228, 241, 321, 
##     317, 366, 371, 382, 389, 390, 380, 373, 376, 372, 363, 366, 
##     313, 309, 248, 188, 165, 164, 151, 167, 169, 178, 183, 192, 
##     196, 208, 223, 240, 287, 296, 312, 312, 322, 326, 331, 343, 
##     344, 356, 363, 364, 352, 335, 342, 353, 377, 403, 402, 383, 
##     330, 313, 303, 301, 222, 192, 167, 155, 159, 169, 179, 182, 
##     184, 193, 199, 238, 243, 263, 297, 306, 306, 323, 326, 344, 
##     351, 387, 397, 413, 421, 425, 361, 354, 342, 333, 288, 289, 
##     266, 229, 185, 178, 179, 183, 185, 191, 198, 210, 236, 324, 
##     345, 369, 359, 358, 347, 337, 320, 293, 286, 271, 271, 271, 
##     263, 263, 245, 202, 174, 157, 163, 147, 152, 161, 167, 205, 
##     294, 327, 330, 341, 341, 368, 355, 352, 344, 342, 346, 359, 
##     401, 403, 386, 376, 375, 321, 323, 306, 294, 290, 304, 301, 
##     294, 294, 290, 288, 288, 282, 295, 284, 296, 373, 382, 439, 
##     439, 481, 481, 488, 515, 515, 534, 536, 543, 563, 575, 592, 
##     595, 599, 610, 612, 603, 558, 403, 304, 297, 287, 287, 285, 
##     283, 275, 271, 269, 260, 263, 263, 261, 262, 292, 300, 309, 
##     365, 381, 512, 524, 569, 620, 628, 608, 583, 549, 527, 520, 
##     501, 495, 447, 443, 399, 371, 354, 342, 298, 287, 260, 231, 
##     623, 632, 623, 630, 623, 622, 622, 598, 585, 565, 550, 511, 
##     457, 424, 408, 355, 344, 303, 291, 281, 267, 255, 245, 245, 
##     248, 263, 275, 340, 467, 446, 420, 355, 327, 322, 314, 292, 
##     281, 262, 224, 185, 181, 175, 175, 180, 178, 181, 180, 183, 
##     186, 200, 287, 356, 382, 442, 531, 583, 594, 601, 622, 629, 
##     629, 626, 617, 585, 555, 543, 505, 500, 479, 459, 440, 374, 
##     349, 486, 448, 431, 390, 381, 346, 313, 260, 246, 223, 218, 
##     217, 211, 215, 571, 536, 522, 503, 429, 381, 350, 339, 316, 
##     255, 247, 236, 191, 146, 134, 115, 120, 121, 121, 138, 151, 
##     165, 227, 280, 299, 261, 169, 143, 110, 91, 83, 69, 46, 38, 
##     143, 167, 174, 285, 372, 444, 481, 526, 589, 598, 611, 603, 
##     598, 593, 486, 459, 264, 233, 192, 135, 129, 127, 111, 598, 
##     599, 592, 573, 557, 548, 522, 503, 491, 482, 455, 437, 383, 
##     368, 346, 352, 346, 345, 345, 338, 333, 340, 339, 340, 340, 
##     340, 340, 342, 340, 338, 342, 340, 349, 351, 351, 337, 343, 
##     347, 343, 349, 347, 337, 339, 325, 330, 327, 325, 331, 327, 
##     326, 328, 318, 325, 329, 324, 325, 316, 317, 307, 295, 279, 
##     435, 460, 467, 457, 455, 451, 453, 449, 448, 446, 448, 434, 
##     431, 434, 427, 419, 426, 413, 412, 411, 412, 355, 354, 357, 
##     347, 347, 357, 343, 355, 347, 353, 350, 348, 356, 344, 348, 
##     344, 345, 338, 343, 338, 350, 354, 462, 531, 599, 602, 613, 
##     615, 617, 600, 577, 557, 562, 549, 472, 455, 508, 583, 609, 
##     603, 605, 610, 593, 589, 575, 578, 564, 548, 497, 486, 475, 
##     387, 339, 288, 278, 265, 264, 308, 351, 356, 372, 399, 513, 
##     537, 590, 599, 608, 607, 602, 602, 575, 577, 549, 540, 410, 
##     377, 361, 317, 304, 234, 255, 269, 293, 289, 309, 374, 456, 
##     545, 573, 576, 585, 600, 591, 589, 594, 584, 509, 367, 338, 
##     342, 328, 308, 288, 507, 501, 451, 450, 438, 408, 383, 342, 
##     321, 279, 276, 261, 271, 387, 475, 523, 597, 597, 589, 587, 
##     569, 568, 550, 535, 527, 522, 509, 389, 385, 341, 321, 320, 
##     269, 273, 288, 352, 352, 401, 413, 455, 520, 538, 577, 584, 
##     586, 587, 590, 564, 565, 559, 529, 518, 518, 463, 413, 308, 
##     299, 269, 270, 277, 356, 376, 463, 470, 530, 586, 590, 583, 
##     584, 576, 568, 311, 368, 381, 403, 442, 458, 560, 593, 599, 
##     574, 565, 560, 554, 557, 494, 524, 239, 240, 231, 229, 214, 
##     218, 221, 309, 309, 366, 448, 469, 561, 548, 539, 528, 500, 
##     471, 440, 426, 411, 364, 357, 356, 334, 320, 306, 302, 289, 
##     280, 268, 256, 225, 221, 218, 225, 218, 226, 309, 344, 366, 
##     391, 399, 431, 435, 436, 452, 473, 510, 528, 531, 536, 548, 
##     569, 583, 584, 578, 543, 531, 505, 489, 467, 412, 404, 388, 
##     372, 359, 344, 319, 299, 267, 251, 243, 244, 243, 249, 273, 
##     292, 371, 389, 398, 417, 496, 523, 533, 546, 546, 554, 557, 
##     563, 566, 569, 346, 338, 328, 324, 323, 310, 302, 274, 264, 
##     247, 248, 239, 223, 216, 226, 221, 230, 554, 561, 563, 561, 
##     548, 537, 502, 481, 470, 447, 424, 398, 389, 382, 362, 332, 
##     318, 298, 286, 286, 279, 273, 261, 265, 272, 266, 274, 265, 
##     251, 249, 238, 245, 244, 247, 255, 262, 274, 308, 381, 442, 
##     459, 470, 480, 487, 501, 529, 544, 550, 550, 563, 563, 558, 
##     557, 555, 563, 554, 282, 283, 282, 274, 269, 256, 249, 243, 
##     255, 256, 283, 295, 316, 350, 382, 411, 427, 549, 554, 290, 
##     282, 281, 286, 291, 284, 291, 296, 301, 295, 282, 273, 260, 
##     254, 253, 250, 253, 253, 264, 278, 283, 321, 331, 376, 406, 
##     473, 483, 513, 520, 528, 544, 542, 534, 534, 539, 529, 538, 
##     532, 529, 526, 519, 449, 383, 361, 360, 342, 306, 273, 277, 
##     262, 257, 256, 241, 249, 241, 232, 220, 221, 215, 218, 221, 
##     214, 214, 211, 212, 219, 223, 263, 280, 332, 361, 384, 404, 
##     413, 429, 443, 468, 507, 515, 517, 523, 535, 537, 544, 545, 
##     538, 550, 555, 558, 553, 554, 559, 544, 532, 491, 462, 401, 
##     373, 356, 356, 347, 341, 330, 292, 284, 273, 259, 254, 252, 
##     241, 237, 241, 242, 234, 216, 213, 223, 230, 241, 255, 311, 
##     339, 355, 408, 412, 554, 548, 541, 535, 514, 518, 423, 407, 
##     404, 390, 314, 309, 559, 475, 338, 328, 319, 315, 308, 304, 
##     302, 234, 239, 240, 279, 406, 407, 448, 473, 487, 495, 504, 
##     515, 529, 539, 540, 539, 543, 549, 551, 581, 572, 575, 575, 
##     575, 574, 555, 555, 545, 521, 496, 455, 483, 524, 528, 532, 
##     534, 555, 557, 576, 586, 586, 589, 586, 576, 586, 584, 585, 
##     582, 577, 353, 338, 341, 343, 331, 332, 325, 312, 310, 265, 
##     273, 282, 313, 306, 329, 336, 340, 343, 350, 359, 356, 359, 
##     366, 358, 373, 376, 375, 374, 380, 380, 381, 391, 395, 382, 
##     386, 385, 387, 390, 389, 382, 383, 389, 393, 420, 423, 425, 
##     417, 411, 395, 395, 386, 383, 386, 383, 381, 382, 377, 378, 
##     383, 369, 362, 369, 369, 371, 365, 372, 372, 372, 366, 367, 
##     372, 373, 367, 370, 372, 371, 367, 349, 352, 342, 334, 330, 
##     353, 353, 369, 381, 398, 398, 403, 424, 429, 440, 483, 498, 
##     572, 592, 598, 625, 629, 628, 625, 628, 615, 600, 572, 514, 
##     506, 478, 470, 459, 447, 423, 423, 417, 397, 402, 392, 391, 
##     399, 385, 402, 402, 420, 431, 441, 450, 453, 500, 537, 559, 
##     576, 567, 582, 604, 605, 611, 615, 622, 619, 629, 628, 618, 
##     501, 485, 489, 481, 487, 476, 470, 470, 470, 454, 456, 453, 
##     445, 442, 433, 432, 425, 423, 428, 427, 619, 623, 621, 617, 
##     621, 633, 615, 612, 608, 564, 510, 500, 493, 468, 467, 466, 
##     453, 455, 457, 444, 423, 417, 420, 422, 428, 425, 420, 433, 
##     441, 472, 495, 523, 541, 563, 566, 589, 586, 589, 601, 597, 
##     615, 616, 613, 605, 585, 584, 581, 581, 574, 550, 529, 518, 
##     510, 499, 496, 478, 466, 471, 468, 455, 455, 460, 446, 448, 
##     442, 444, 440, 439, 443, 439, 457, 457, 476, 488, 495, 502, 
##     502, 503, 504, 502, 508, 528, 536, 541, 567, 569, 588, 587, 
##     591, 604, 612, 615, 607, 604, 597, 591, 556, 548, 537, 522, 
##     528, 515, 498, 497, 489, 489, 479, 445, 440, 443, 450, 457, 
##     468, 473, 478, 490, 486, 517, 562, 576, 583, 585, 602, 599, 
##     609, 603, 610, 611, 604, 597, 589, 569, 540, 519, 510, 495, 
##     495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 
##     495, 495, 495, 495, 495, 495, 495, 495, 468, 464, 464, 451, 
##     441, 402, 392, 401, 397, 395, 404, 407, 407, 411, 412, 412, 
##     423, 462, 475, 475, 488, 573, 577, 580, 579, 586, 577, 583, 
##     585, 593, 593, 584, 595, 596, 600, 607, 603, 610, 603, 595, 
##     573, 567, 527, 520, 514, 475, 470, 463, 461, 464, 461, 442, 
##     439, 424, 425, 423, 440, 463, 477, 519, 519, 537, 545, 551, 
##     576, 575, 582, 587, 592, 598, 599, 601, 606, 604, 626, 627, 
##     626, 624, 614, 617, 602, 586, 576, 557, 539, 542, 531, 524, 
##     525, 514, 516, 493, 504, 477, 470, 478, 476, 470, 279, 276, 
##     277, 385, 386, 387, 391, 394, 383, 379, 376, 379, 364, 370, 
##     365, 355, 359, 308, 308, 300, 304, 297, 299, 308, 305, 301, 
##     299, 300, 302, 299, 294, 297, 294, 293, 296, 285, 287, 283, 
##     294, 294, 290, 283, 289, 285, 287, 289, 286, 284, 277, 280, 
##     283, 277, 280, 276, 272, 272, 266, 270, 269, 260, 262, 260, 
##     253, 251, 256, 255, 258, 244, 250, 247, 245, 244, 513, 495, 
##     495, 484, 484, 491, 491, 487, 476, 480, 474, 475, 466, 466, 
##     455, 455, 456, 450, 445, 444, 435, 435, 437, 439, 437, 438, 
##     440, 434, 472, 479, 527, 535, 573, 574, 578, 584, 594, 599, 
##     600, 629, 631, 632, 631, 632, 630, 620, 612, 572, 565, 557, 
##     555, 547, 548, 520, 386, 393, 397, 403, 414, 440, 440, 441, 
##     444, 451, 431, 423, 522, 504, 378, 331, 315, 266, 263, 267, 
##     376, 390, 431, 562, 547, 540, 541, 531, 529, 487, 447, 429, 
##     355, 341, 337, 239, 254, 279, 310, 313, 352, 363, 391, 426, 
##     526, 536, 583, 585, 586, 583, 569, 551, 549, 413, 348, 335, 
##     271, 263, 247, 240, 251, 276, 281, 299, 351, 366, 389, 422, 
##     414, 407, 388, 365, 351, 345, 346, 344, 336, 343, 329, 339, 
##     356, 361, 359, 358, 363, 356, 360, 354, 354, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 348, 347, 338, 342, 342, 362, 348, 348, 359, 361, 374, 
##     385, 399, 384, 383, 389, 382, 384, 284, 339, 341, 346, 344, 
##     336, 355, 357, 360, 348, 315, 391, 380, 381, 335, 329, 303, 
##     288, 245, 221, 189, 178, 168, 165, 178, 187, 187, 188, 221, 
##     209, 198, 191, 184, 189, 180, 186, 189, 202, 234, 261, 403, 
##     407, 407, 408, 405, 402, 400, 390, 389, 371, 368, 357, 325, 
##     272, 249, -607, -626, -645, -670, -672, -701, -713, -708, 
##     -720, -723, -715, -718, -724, -720, -717, -722, -717, -718, 
##     -712, -666, -652, -637, -568, -532, -529, -521, -520, -520, 
##     -590, -620, -629, 248, 240, 265, 260, 226, 226, 245, 247, 
##     248, 232, 247, 240, 245, 347, 330, 324, 315, 323, 321, 320, 
##     321, 325, 326, 343, 342, 352, 364, 369, 362, 359, 349, 127, 
##     143, 148, 163, 178, 233, 260, 298, 457, 518, 536, 561, 572, 
##     550, 557, 569, 575, 595, 610, 620, 614, 609, 579, 550, 386, 
##     224, 229, 271, 311, 312, 352, 457, 475, 505, 519, 563, 585, 
##     583, 513, 528, 541, 567, 570, 574, 604, 610, 616, 610, 595, 
##     595, 510, 309, 275, 249, 243, 243, 243, 232, 225, 229, 227, 
##     233, 238, 248, 258, 263, 274, 320, 418, 356, 375, 462, 468, 
##     485, 559, 578, 591, 599, 619, 625, 618, 621, 619, 610, 610, 
##     604, 586, 583, 239, 233, 233, 224, 247, 261, 267, 294, 377, 
##     490, 523, 565, 626, -509, -543, -546, -552, -569, -594, -624, 
##     -661, -694, -696, -720, -718, -715, -722, -715, -721, -722, 
##     -720, -718, -712, -672, -625, -617, -583, -517, -508, -505, 
##     -509, -513, -524, -534, -542, -571, -618, -661, -672, -686, 
##     -686, -722, -724, -741, -737, -729, -723, -721, -728, -720, 
##     -714, -711, -709, -695, -662, -649, -646, -635, -630, -626, 
##     -604, -552, -519, -503, -499, -499, -496, -499, -504, -516, 
##     -514, -516, -521, -517, -519, -521, -515, -519, -503, -496, 
##     -504, -515, -512, -512, -520, -513, -517, -516, -525, -511, 
##     -518, -520, -515, -518, -509, -505, -507, -507, -525, -510, 
##     -518, -508, -501, -498, -506, -503, -510, -518, -520, -520, 
##     -527, -533, -516, -512, -515, -519, -511, -506, -507, -511, 
##     -520, -529, -528, -527, -526, -536, -547, -545, -535, -539, 
##     -543, -535, -532, -527, -532, -521, -523, -521, -516, -505, 
##     -501, -501, -500, -488, -486, -479, -482, -474, -476, -483, 
##     -477, -478, -485, -488, -484, -518, -516, -525, -526, -518, 
##     -523, -526, -532, -520, -524, -520, -513, -514, -518, -525, 
##     -505, -502, -496, -491, -500, -504, -491, -505, -498, -500, 
##     -501, -503, -501, -499, -505, -491, -500, -501, -502, -505, 
##     -505, -517, -522, -513, -517, -524, -529, -510, -518, -514, 
##     -516, -513, -508, -507, -512, -495, -499, -509, -491, -501, 
##     -504, -501, -486, -490, -489, -504, -504, -515, -508, -508, 
##     -504, -504, -504, -503, -502, -500, -503, -505, -505, -495, 
##     -497, -496, -498, -510, -509, -491, -499, -501, -504, -502, 
##     216, 196, 196, 191, 127, 127, 127, 127, 127, 127, 127, 125, 
##     125, 125, 125, 125, 125, 125, 138, 147, 152, 153, 151, 144, 
##     141, 138, 105, 105, 105, 105, 105, 105, 105, 96, 100, 136, 
##     117, 120, 119, 114, 119, 119, 113, 119, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 216, 223, 223, 234, 247, 249, 161, 152, 
##     153, 149, 159, 153, 158, 153, 146, 133, 129, 124, 126, 136, 
##     143, 150, 153, 164, 172, 172, 182, 232, 243, 270, 234, 216, 
##     193, 188, 177, 169, 165, 162, 152, 138, 119, 120, 143, 150, 
##     163, 171, 170, 186, 205, 200, 215, 230, 239, 244, 263, 246, 
##     238, 236, 236, 227, 206, 210, 198, 180, 173, 160, 148, 146, 
##     131, 134, 123, 121, 135, 139, 143, 140, 147, 147, 157, 153, 
##     157, 157, 166, 165, 178, 187, 207, 201, 242, 210, 204, 172, 
##     165, 165, 165, 165, 165, 165, 165, 165, 165, 153, 163, 155, 
##     163, 187, 191, 193, 195, 195, 195, 195, 195, 195, 195, 210, 
##     211, 217, 217, 217, 217, 217, 217, 216, 222, 222, 232, 231, 
##     235, 243, 238, 238, 238, 238, 238, 238, 229, 229, 229, 229, 
##     229, 229, 243, 240, 245, 240, 244, 243, 238, 248, 248, 241, 
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##     111, 112, 102, 111, 121, 127, 132, 135, 137, 161, 189, 202, 
##     204, 206, 240, 265, 264, 280, 289, 287, 293, 291, 292, 285, 
##     266, 259, 261, 252, 254, 243, 224, 180, 179, 184, 171, 168, 
##     159, 171, 167, 185, 197, 188, 212, 218, 229, 241, 258, 260, 
##     254, 251, 157, 155, 158, 197, 217, 230, 235, 246, 251, 260, 
##     260, 252, 243, 237, 241, 231, 232, 206, 214, 200, 184, 189, 
##     186, 189, 188, 180, 174, 177, 180, 187, 190, 197, 210, 209, 
##     211, 214, 218, 222, 226, 230, 239, 258, 259, 250, 249, 238, 
##     230, 228, 223, 221, 224, 215, 215, 216, 214, 206, 204, 208, 
##     213, 218, 243, 247, 245, 232, 229, 231, 206, 206, 187, 189, 
##     192, 192, 205, 204, 192, 178, 193, 183, 184, 186, 179, 194, 
##     217, 227, 235, 240, 241, 235, 228, 227, 230, 240, 242, 222, 
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##     174, 171, 181, 172, 176, 179, 187, 201, 204, 211, 218, 229, 
##     221, 220, 224, 213, 212, 203, 195, 189, 187, 189, 179, 182, 
##     185, 180, 181, 177, 175, 171, 167, 185, 192, 189, 184, 195, 
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##     232, 227, 228, 227, 226, 222, 236, 229, 231, 232, 223, 232, 
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##     248, 246, 245, 245, 244, 240, 245, 240, 240, 242, 231, 237, 
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##     279, 280, 278, 282, 280, 291, 282, 286, 289, 287, 287, 287, 
##     300, 303, 304, 307, 304, 308, 302, 293, 296, 299, 288, 280, 
##     277, 267, 248, 252, 253, 260, 260, 266, 272, 270, 300, 298, 
##     293, 304, 312, 313, 319, 307, 304, 289, 281, 277, 275, 270, 
##     266, 262, 251, 249, 254, 255, 264, 270, 276, 276, 300, 305, 
##     335, 330, 332, 328, 329, 334, 326, 326, 327, 324, 305, 297, 
##     295, 300, 295, 274, 232, 244, 245, 248, 246, 254, 254, 262, 
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##     328, 357, 352, 350, 342, 343, 350, 343, 341, 327, 325, 321, 
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##     325, 298, 284, 273, 284, 280, 296, 306, 313, 319, 338, 340, 
##     349, 360, 356, 357, 351, 353, 354, 353, 340, 343, 338, 334, 
##     323, 320, 247, 247, 251, 248, 252, 256, 256, 253, 256, 248, 
##     252, 247, 254, 260, 254, 244, 253, 260, 254, 248, 244, 245, 
##     253, 248, 246, 247, 249, 247, 270, 298, 435, 464, 471, 509, 
##     517, 524, 543, 530, 517, 506, 378, 365, 543, 558, 557, 558, 
##     549, 504, 484, 452, 403, 342, 324, 309, 310, 283, 277, 272, 
##     271, 275, 273, 269, 266, 263, 260, 269, 264, 271, 267, 262, 
##     263, 264, 263, 255, 254, 259, 248, 465, 485, 516, 521, 515, 
##     525, 524, 529, 526, 527, 528, 507, 483, 451, 343, 309, 549, 
##     554, 558, 559, 566, 569, 570, 580, 579, 577, 557, 557, 548, 
##     533, 522, 509, 202, 199, 200, 202, 203, 208, 222, 223, 231, 
##     230, 246, 244, 244, 252, 256, 261, 255, 257, 270, 272, 273, 
##     278, 286, 298, 302, 301, 295, 298, 283, 283, 279, 264, 269, 
##     256, 242, 240, 214, 210, 212, 207, 235, 226, 225, 234, 228, 
##     228, 228, 225, 230, 222, 227, 216, 216, 210, 215, 219, 227, 
##     239, 242, 236, 230, 235, 232, 237, 240, 258, 260, 261, 253, 
##     251, 242, 249, 257, 259, 267, 262, 259, 265, 262, 251, 247, 
##     248, 258, 254, 248, 247, 254, 259, 261, 269, 277, 285, 296, 
##     298, 298, 305, 294, 298, 307, 308, 303, 306, 302, 307, 299, 
##     293, 290, 257, 249, 249, 252, 247, 248, 244, 253, 259, 265, 
##     263, 264, 257, 261, 249, 248, 242, 239, 289, 281, 283, 282, 
##     286, 284, 285, 284, 282, 268, 261, 255, 251, 232, 232, 245, 
##     245, 244, 247, 245, 241, 237, 235, 233, 235, 234, 239, 227, 
##     221, 230, 244, 261, 267, 261, 269, 269, 276, 279, 281, 274, 
##     282, 283, 271, 281, 273, 266, 263, 260, 260, 261, 257, 257, 
##     258, 249, 254, 248, 250, 261, 244, 247, 244, 236, 250, 243, 
##     238, 239, 238, 243, 228, 232, 227, 230, 221, 235, 255, 275, 
##     279, 295, 318, 318, 323, 343, 336, 329, 334, 325, 332, 321, 
##     323, 326, 310, 307, 253, 237, 229, 225, 226, 225, 227, 240, 
##     258, 261, 257, 272, 277, 270, 273, 269, 271, 272, 270, 257, 
##     262, 260, 267, 259, 260, 259, 259, 252, 250, 248, 251, 241, 
##     244, 238, 241, 239, 240, 251, 256, 253, 229, 230, 219, 225, 
##     222, 235, 245, 256, 251, 257, 265, 259, 261, 250, 255, 257, 
##     261, 254, 254, 251, 261, 250, 257, 257, 260, 254, 250, 243, 
##     244, 233, 234, 238, 237, 229, 232, 235, 236, 233, 245, 255, 
##     252, 288, 291, 295, 294, 301, 274, 271, 262, 264, 268, 259, 
##     253, 263, 261, 241, 233, 241, 244, 249, 245, 232, 239, 236, 
##     246, 237, 233, 239, 235, 247, 223, 224, 227, 228, 228, 237, 
##     226, 227, 222, 205, 220, 221, 228, 223, 228, 233, 238, 237, 
##     229, 233, 233, 245, 263, 288, 287, 244, 241, 247, 249, 255, 
##     259, 248, 244, 244, 241, 245, 238, 243, 236, 433, 418, 354, 
##     304, 237, 215, 192, 182, 180, 182, 181, 226, 208, 203, 220, 
##     265, 321, 377, 449, 468, 491, 521, 253, 243, 240, 237, 244, 
##     238, 230, 228, 232, 227, 237, 234, 457, 436, 420, 420, 410, 
##     410, 406, 397, 394, 395, 391, 391, 387, 393, 394, 389, 393, 
##     403, 399, 394, 396, 396, 406, 396, 408, 402, 399, 406, 404, 
##     408, 407, 408, 407, 410, 416, 412, 420, 423, 421, 432, 423, 
##     429, 427, 431, 418, 420, 421, 423, 418, 419, 412, 425, 420, 
##     415, 419, 421, 417, 416, 424, 420, 409, 416, 411, 415, 418, 
##     418, 415, 415, 416, 414, 408, 416, 418, 405, 406, 420, 419, 
##     420, 426, 422, 425, 420, 409, 424, 420, 420, 422, 422, 421, 
##     416, 414, 411, 422, 422, 415, 422, 420, 425, 422, 419, 411, 
##     413, 409, 414, 405, 409, 406, 407, 405, 398, 410, 407, 408, 
##     418, 412, 416, 420, 409, 412, 411, 408, 404, 412, 407, 409, 
##     415, 410, 405, 408, 409, 409, 415, 416, 414, 426, 439, 431, 
##     426, 423, 423, 422, 424, 423, 420, 417, 418, 414, 419, 415, 
##     407, 414, 412, 411, 412, 417, 416, 411, 409, 403, 409, 407, 
##     408, 411, 409, 393, 400, 399, 396, 398, 408, 402, 405, 420, 
##     422, 418, 419, 420, 417, 419, 411, 421, 423, 414, 411, 420, 
##     416, 418, 418, 419, 411, 418, 411, 412, 415, 408, 411, 411, 
##     415, 412, 408, 409, 412, 414, 409, 408, 409, 411, 405, 404, 
##     409, 415, 424, 429, 430, 407, 408, 406, 410, 409, 415, 405, 
##     411, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 424, 429, 423, 423, 413, 415, 419, 411, 422, 
##     420, 423, 413, 415, 414, 412, 415, 418, 410, 405, 401, 409, 
##     407, 404, 409, 403, 399, 403, 408, 408, 405, 405, 409, 403, 
##     405, 403, 408, 409, 406, 413, 415, 418, 399, 396, 401, 401, 
##     393, 399, 396, 393, 396, 397, 393, 394, 246, 241, 247, 273, 
##     272, 279, 277, 270, 271, 276, 273, 275, 272, 334, 340, 320, 
##     297, 275, 290, 289, 309, 342, 395, 476, 485, 534, 274, 267, 
##     270, 263, 262, 260, 252, 256, 252, 258, 263, 275, 281, 294, 
##     302, 298, 132, 128, 125, 127, 125, 132, 128, 127, 134, 135, 
##     138, 140, 150, 159, 249, 249, 230, 227, 227, 227, 223, 205, 
##     194, 192, 189, 176, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
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##     -516, -514, -512, -489, -494, -490, -502, -503, -506, -520, 
##     -525, -531, -550, -527, -521, -519, -515, -521, -518, -510, 
##     -516, -532, -526, -531, -531, -535, -529, -528, -541, -524, 
##     -532, -527, -535, -538, -544, -549, -551, -547, -542, -540, 
##     -542, -532, -538, -533, -518, -515, -499, -496, -496, -504, 
##     -499, -508, -505, -516, -524, -531, -526, -535, 175, 191, 
##     234, 249, 247, 245, 247, 246, 251, 239, 244, 243, 245, 243, 
##     249, 231, 225, 221, 229, 221, 215, 207, 246, 239, 232, 229, 
##     226, 225, 207, 201, 180, 177, 160, 364, 371, 365, 373, 378, 
##     365, 374, 372, 375, 382, 397, 392, 380, 383, 382, 386, 375, 
##     376, 374, 359, 348, 342, 338, 351, 356, 355, 363, 375, 383, 
##     365, 376, 382, 385, 397, 396, 383, 383, 377, 376, 374, 342, 
##     355, 358, 362, 367, 396, 399, 394, 360, 358, 357, 353, 343, 
##     337, 325, 318, 315, 317, 319, 323, 324, 319, 312, 312, 310, 
##     304, 300, 303, 300, 304, 311, 308, 306, 307, 303, 297, 304, 
##     290, 294, 290, 293, 280, 281, 280, -498, -503, -506, -505, 
##     -506, -510, -511, -510, -513, -513, -510, -516, -522, -508, 
##     -512, -510, -512, -506, -512, -489, -495, -498, -493, -503, 
##     -509, -498, -501, -499, -499, -500, -493, -493, -492, -496, 
##     -491, -500, -512, -507, -504, -511, -512, -506, -516, -521, 
##     -520, -523, -532, -534, -520, -518, -517, -503, -501, -506, 
##     -506, -508, -499, -501, -495, -498, -502, -514, -511, -522, 
##     -522, -537, -533, -520, -516, -527, -522, -514, -515, -517, 
##     -522, -516, -514, -504, -519, -521, -533, -522, -525, -518, 
##     -515, -565, -538, -534, -537, -540, -535, -520, -489, -485, 
##     -474, -483, -483, -483, -488, -494, -499, -502, -509, -516, 
##     -516, -525, -534, -567, -579, -559, -558, -551, -550, -549, 
##     -541, -539, -543, -532, -526, -531, -532, -529, -534, -528, 
##     -528, -523, -521, -525, -529, -541, -523, -537, -538, -538, 
##     -536, -537, -541, -540, -548, -553, -556, -558, -582, -584, 
##     -602, -609, -615, -613, -582, -584, -579, -581, -570, -575, 
##     -574, -574, -578, -576, -573, -571, -555, -558, -549, -549, 
##     -555, -548, -549, -604, -594, -599, -596, -598, -599, -581, 
##     -556, -567, -559, -563, -563, -559, -558, -564, -566, -563, 
##     -584, -585, -590, -595, -628, -633, -645, -629, -624, -622, 
##     -615, -608, -601, -601, -599, -600, -602, -601, -604, -595, 
##     -567, -567, -566, -565, -568, -568, -567, -560, -572, -601, 
##     -612, -619, -615, -618, -606, -601, -601, -588, -586, -596, 
##     -581, -579, -581, -573, -571, -572, -568, 503, 511, 505, 
##     509, 508, 499, 491, 494, 492, 489, 491, 498, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 498, 505, 512, 520, 518, 519, 505, 499, 502, 
##     492, 488, 487, 484, 483, 480, 482, 485, 484, 482, 479, 481, 
##     465, 455, 463, 460, 466, 466, 474, 473, 477, 501, 507, 509, 
##     507, 509, 504, 525, 526, 520, 517, 525, 538, 532, 532, 523, 
##     518, 517, 505, 515, 505, 507, 503, 502, 504, 499, 507, 500, 
##     486, 471, 474, 478, 474, 499, 507, 504, 504, 507, 519, 532, 
##     537, 538, 537, 536, 517, 529, 518, 521, 519, 478, 494, 486, 
##     497, 499, 509, 514, 519, 520, 520, 525, 530, 529, 539, 554, 
##     559, 557, 550, 551, 540, 543, 540, 531, 530, 528, 528, 520, 
##     521, 514, 518, 512, 523, 518, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 229, 229, 229, 229, 229, 229, 232, 209, 210, 
##     181, 173, 170, 165, 166, 169, 170, 161, 148, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 146, 117, 102, 104, 106, 121, 152, 157, 209, 259, 273, 
##     301, 314, 316, 328, 333, 333, 332, 329, 326, 324, 319, 302, 
##     286, 282, 257, 217, 177, 173, 183, 166, 161, 152, 138, 120, 
##     112, 102, 100, 143, 172, 207, 233, 244, 254, 264, 306, 316, 
##     334, 353, 353, 355, 352, 354, 352, 327, 313, 302, 290, 291, 
##     214, 191, 151, 152, 146, 127, 123, 137, 130, 138, 157, 168, 
##     170, 180, 238, 240, 254, 275, 282, 301, 299, 339, 342, 295, 
##     302, 291, 278, 265, 246, 215, 215, 201, 201, 194, 158, 158, 
##     138, 109, 119, 127, 154, 168, 182, 203, 213, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 131, 128, 128, 125, 126, 125, 125, 
##     121, 132, 119, 131, 199, 187, 176, 153, 210, 235, 239, 315, 
##     327, 342, 341, 334, 318, 325, 325, 327, 325, 332, 338, 331, 
##     330, 300, 307, 303, 295, 294, 296, 295, 297, 295, 302, 292, 
##     298, 292, 297, 305, 329, 336, 343, 333, 337, 327, 333, 331, 
##     320, 328, 328, 334, 332, 326, 337, 328, 328, 325, 323, 314, 
##     301, 303, 305, 304, 303, 304, 304, 306, 305, 313, 316, 324, 
##     334, 342, 347, 347, 360, 344, 332, 341, 335, 329, 334, 336, 
##     331, 329, 323, 313, 309, 306, 291, 288, 283, 290, 287, 283, 
##     291, 294, 291, 293, 294, 296, 304, 309, 323, 364, 372, 372, 
##     369, 362, 341, 338, 347, 341, 342, 338, 333, 331, 324, 326, 
##     318, 321, 266, 274, 275, 281, 306, 361, 367, 362, 361, 343, 
##     348, 343, 345, 349, 344, 345, 340, 354, 345, 343, 335, 320, 
##     318, 312, 309, 310, 308, 298, 313, 332, 331, 329, 342, 351, 
##     367, 352, 362, 340, 334, 335, 330, 334, 331, 330, 334, 335, 
##     337, 372, 392, 403, 400, 412, 411, 408, 405, 398, 394, 395, 
##     392, 395, 393, 391, 394, 392, 365, 253, 254, 244, 245, 252, 
##     242, 247, 245, 239, 228, 244, 261, 266, 281, 314, 313, 307, 
##     304, 296, 304, 302, 291, 296, 294, 297, 298, 300, 297, 297, 
##     296, 296, 305, 298, 301, 288, 275, 277, 298, 303, 305, 306, 
##     308, 306, 305, 312, 297, 298, 301, 298, 302, 311, 342, 368, 
##     404, 451, 445, 398, 392, 411, 410, 415, 424, 411, 404, 390, 
##     379, 379, 383, 373, 368, 364, 359, 351, 430, 415, 393, 394, 
##     396, 386, 380, 355, 346, 349, 348, 355, 350, 358, 363, 367, 
##     376, 409, 420, 423, 433, 422, 397, 379, 371, 367, 358, 352, 
##     344, 338, 339, 348, 348, 360, 427, 439, 432, 431, 418, 409, 
##     408, 407, 391, 394, 372, 354, 345, 371, 390, 396, 399, 417, 
##     456, 464, 454, 418, 408, 390, 386, 379, 383, 383, 347, 345, 
##     353, 365, 383, 449, 451, 487, 489, 487, 479, 470, 416, 407, 
##     399, 391, 402, 399, 391, 383, 377, 376, 378, 366, 371, 359, 
##     357, 360, 358, 357, 362, 352, 364, 368, 377, 410, 424, 436, 
##     436, 441, 450, 419, 392, 384, 377, 379, 385, 371, 373, 368, 
##     355, 357, 355, 353, 389, 418, 429, 437, 442, 431, 414, 407, 
##     403, 399, 387, 361, 368, 361, 357, 341, 339, 348, 346, 348, 
##     351, 358, 354, 345, 344, 344, 340, 340, 341, 340, 330, 338, 
##     345, 342, 341, 343, 337, 345, 349, 345, 343, 340, 339, 338, 
##     337, 340, 340, 339, 339, 340, 337, 341, 334, 335, 342, 238, 
##     230, 248, 248, 261, 266, 273, 270, 273, 286, 284, 248, 260, 
##     250, 236, 233, 229, 234, 248, 281, 293, 305, 301, 310, 311, 
##     308, 304, 296, 284, 276, 273, 261, 258, 263, 260, 260, 262, 
##     259, 259, 258, 250, 242, 245, 231, 240, 243, 236, 234, 234, 
##     180, 186, 207, 229, 239, 241, 246, 255, 259, 256, 256, 251, 
##     259, 326, 354, 345, 361, 361, 381, 379, 380, 404, 424, 413, 
##     414, 378, 355, 327, 345, 350, 356, 366, 361, 383, 378, 394, 
##     393, 409, 405, 404, 408, 404, 402, 404, 389, 378, 374, 362, 
##     346, 338, 343, 331, 325, 313, 313, 309, 385, 384, 389, 381, 
##     379, 387, 383, 377, 380, 368, 351, 341, 330, 325, 322, 326, 
##     322, 310, 310, 305, 308, 307, 307, 310, 312, 319, 327, 323, 
##     323, 321, 323, 328, 362, 361, 366, 364, 370, 368, 367, 337, 
##     345, 324, 308, 309, 301, 298, 291, 294, 298, 295, 298, 304, 
##     307, 313, 318, 336, 362, 367, 383, 379, 390, 394, 402, 399, 
##     396, 399, 384, 381, 387, 343, 311, 298, 292, 296, 290, 292, 
##     286, 296, 295, 294, 295, 294, 298, 349, 333, 290, 307, 314, 
##     326, 337, 352, 350, 362, 362, 367, 391, 397, 409, 417, 411, 
##     405, 406, 399, 307, 306, 303, 312, 318, 326, 331, 353, 361, 
##     363, 372, 341, 337, 326, 322, 322, 314, 311, 311, 319, 311, 
##     318, 316, 312, 255, 242, 243, 251, 239, 240, 239, 244, 241, 
##     243, 239, 245, 253, 253, 258, 271, 281, 287, 214, 219, 222, 
##     199, 164, 132, 129, 121, 124, 123, 131, 171, 320, 322, 325, 
##     323, 324, 327, 327, 319, 323, 253, 252, 257, 244, 249, 245, 
##     252, 251, 250, 262, 262, 255, 259, 260, 253, 258, 280, 288, 
##     285, 282, 280, 271, 280, 277, 269, 263, 268, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 392, 393, 386, 396, 395, 397, 
##     399, 406, 394, 394, 390, 396, 389, 386, 384, 375, 366, 356, 
##     356, 342, 346, 357, 426, 416, 433, 438, 438, 428, 435, 435, 
##     435, 431, 431, 433, 434, 434, 439, 438, 438, 452, 462, 475, 
##     485, 482, 487, 492, 489, 491, 479, 483, 479, 479, 475, 475, 
##     475, 475, 475, 468, 468, 467, 467, 465, 475, 475, 475, 469, 
##     469, 469, 469, 469, 469, 467, 468, 461, 460, 455, 457, 457, 
##     457, 465, 472, 477, 470, 475, 469, 468, 470, 459, 459, 459, 
##     466, 460, 460, 457, 460, 461, 461, 448, 445, 445, 447, 454, 
##     448, 457, 461, 463, 468, 468, 469, 475, 480, 480, 480, 479, 
##     495, 500, 500, 514, 506, 497, 499, 492, 480, 478, 474, 467, 
##     473, 474, 465, 476, 476, 476, 476, 476, 476, 476, 475, 475, 
##     475, 475, 475, 484, 484, 484, 489, 483, 488, 488, 488, 494, 
##     490, 494, 498, 501, 501, 501, 501, 501, 476, 497, 499, 494, 
##     492, 495, 481, 509, 497, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 461, 458, 458, 460, 462, 457, 459, 
##     454, 439, 457, 458, 456, 452, 447, 450, 446, 454, 447, 442, 
##     453, 448, 450, 464, 454, 467, 392, 388, 388, 398, 395, 395, 
##     397, 393, 393, 392, 392, 389, 399, 395, 395, 395, 344, 351, 
##     342, 351, 342, 345, 342, 354, 344, 348, 384, 381, 366, 361, 
##     353, 350, 344, 346, 347, 352, 359, 372, 383, 384, 393, 413, 
##     329, 367, 383, 390, 409, 426, 424, 434, 426, 407, 393, 387, 
##     387, 390, 390, 382, 367, 370, 368, 364, 336, 341, 344, 344, 
##     340, 372, 343, 346, 348, 347, 340, 336, 330, 328, 319, 230, 
##     193, 161, 108, 111, 116, 116, 147, 140, 153, 169, 192, 201, 
##     230, 250, 277, 279, 320, 328, 293, 293, 293, 293, 293, 293, 
##     293, 264, 264, 264, 264, 264, 264, 219, 195, 184, 177, 162, 
##     155, 166, 166, 166, 166, 166, 314, 318, 312, 313, 313, 308, 
##     308, 308, 311, 293, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, -554, -552, -551, -553, -554, 
##     -557, -557, -574, -583, -590, -601, -602, -599, -593, -562, 
##     -589, -596, -592, -582, -574, -568, -564, -563, -555, -561, 
##     -546, -542, -525, -511, -506, -505, -517, -529, -549, -551, 
##     -511, -515, -520, -524, -518, -522, -517, -513, -516, -515, 
##     -509, -516, -516, -510, -504, 375, 375, 371, 360, 360, 360, 
##     357, 357, 353, 356, 353, 340, 319, 315, 315, 331, 334, 350, 
##     364, 374, 389, 387, 401, 399, 390, 387, 373, 380, 376, 375, 
##     362, 362, 184, 189, 183, 193, 193, 185, 191, 186, 180, 186, 
##     188, 187, 191, 179, 189, 189, 196, 201, 200, 203, 218, 215, 
##     216, 184, 162, 293, 113, 136, 136, 153, 187, 266, 389, 469, 
##     521, 534, 559, 551, 558, 575, 579, 590, 598, 596, 604, 603, 
##     609, 603, 591, 525, 490, 447, 376, 343, 330, 305, 296, 279, 
##     273, 263, 222, 169, 129, 111, 100, 83, 85, 132, 139, 191, 
##     253, 277, 306, 398, 430, 467, 498, 564, 598, 597, 602, 601, 
##     606, 598, 586, 575, 575, 464, 404, 298, 284, 278, 276, 261, 
##     253, 245, 234, 231, 231, 208, 200, 186, 184, 181, 167, 166, 
##     157, 153, 159, 158, 182, 191, 231, 254, 297, 383, 416, 451, 
##     509, 521, 538, 437, 352, 323, 322, 313, 304, 251, 247, 246, 
##     255, 258, 269, 333, 383, 426, 465, 497, 553, 595, 603, 610, 
##     612, 599, 608, 606, 607, 600, 598, 579, 565, 533, 463, 397, 
##     366, 343, 333, 310, 282, 280, 269, 245, 241, 208, 212, 218, 
##     248, 264, 271, 283, 294, 339, 351, 407, 546, 560, 569, 606, 
##     614, 607, 603, 598, 594, 594, 588, 571, 521, 503, 390, 377, 
##     358, 333, 277, 255, 148, 119, 79, 82, 96, 97, 106, 128, 233, 
##     340, 478, 543, 566, 569, 598, 617, 611, 582, 583, 589, 598, 
##     602, 599, 592, 565, 562, 529, 498, 464, 425, 545, 564, 598, 
##     602, 584, 521, 503, 377, 100, 108, 239, 317, 390, 451, 495, 
##     525, 533, 568, 581, 607, 607, 609, 607, 603, 600, 603, 609, 
##     600, 585, 578, 454, 375, 272, 151, 137, 142, 125, 125, 119, 
##     130, 131, 131, 131, 147, 159, 163, 176, 172, 448, 414, 390, 
##     342, 278, 263, 233, 223, 213, 201, 195, 169, 174, 181, 198, 
##     231, 276, 359, 443, 478, 496, 510, 534, 545, 516, 499, 445, 
##     361, 352, 274, 262, 228, 223, 239, 240, 310, 344, 361, 382, 
##     399, 429, 457, 467, 496, 508, 506, 503, 494, 485, 454, 458, 
##     419, 400, 380, 368, 369, 354, 333, 326, 281, 266, 259, 259, 
##     262, 251, 243, 297, 340, 353, 369, 395, 395, 443, 486, 512, 
##     527, 557, 558, 559, 559, 540, 536, 525, 511, 504, 490, 482, 
##     479, 474, 454, 451, 387, 365, 342, 326, 323, 285, 292, 285, 
##     283, 266, 276, 271, 279, 283, 292, 286, 289, 289, 296, 299, 
##     298, 298, 301, 289, 269, 255, 252, 213, 213, 188, 183, 173, 
##     166, 171, 173, 164, 179, 182, 180, 191, 214, 207, 215, 208, 
##     213, -574, -561, -554, -559, -572, -584, -590, -590, -591, 
##     -591, -600, -599, -589, -582, -571, -573, -553, -551, -547, 
##     -549, -549, -547, -543, -542, -543, -547, -557, -562, -571, 
##     -589, -597, -593, -598, -590, -592, -586, -591, -583, -586, 
##     -583, -583, -577, -565, -558, -559, -558, -555, -551, -552, 
##     -555, -557, -559, -554, -555, -559, -564, -575, -571, -603, 
##     -604, -607, -603, -595, -596, -593, -589, -553, -544, -546, 
##     -536, -539, -545, -535, -537, -542, -551, -547, -522, -512, 
##     -516, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 527, 502, 502, 502, 502, 
##     490, 491, 491, 484, 469, 469, 460, 455, 428, 410, 393, 392, 
##     394, 400, 417, 421, 421, 430, 457, 476, 487, 493, 506, 517, 
##     527, 542, 544, 548, 570, 570, 582, 582, 585, 585, 570, 572, 
##     564, 555, 559, 547, 546, 537, 542, 525, 511, 493, 479, 470, 
##     457, 426, 423, 410, 413, 402, 411, 399, 404, 399, 413, 431, 
##     427, 469, 499, 508, 511, 520, 561, 564, 574, 573, 575, 578, 
##     584, 580, 572, 570, 569, 560, 557, 553, 545, 537, 519, 515, 
##     472, 440, 416, 373, 336, 335, 327, 328, 341, 344, 382, 449, 
##     465, 481, 501, 500, 515, 525, 549, 553, 558, 562, 572, 579, 
##     578, 577, 579, 582, 580, 544, 461, 456, 448, 440, 429, 415, 
##     393, 350, 334, 324, 317, 352, 405, 425, 434, 525, 533, 549, 
##     554, 558, 569, 566, 578, 585, 578, 583, 580, 578, 580, 582, 
##     566, 548, 532, 517, 445, 436, 431, 419, 384, 359, 344, 334, 
##     327, 311, 311, 310, 322, 355, 416, 434, 474, 492, 501, 518, 
##     523, 531, 565, 565, 573, 582, 580, 572, 582, 575, 575, 573, 
##     566, 566, 543, 538, 537, 501, 497, 491, 488, 482, 474, 470, 
##     442, 434, 416, 409, 389, 380, 378, 369, 361, 542, 552, 553, 
##     555, 568, 566, 577, 583, 586, 584, 587, 577, 570, 564, 549, 
##     547, 537, 526, 521, 519, 506, 451, 445, 423, 408, 411, 384, 
##     354, 345, 343, 347, 344, 352, 376, 379, 393, 399, 413, 425, 
##     461, 497, 511, 519, 525, 537, 549, 563, 572, 582, 587, 588, 
##     603, 601, 595, 590, 573, 575, 563, 525, 518, 511, 503, 498, 
##     484, 473, 448, 435, 423, 392, 391, 392, 402, 411, 431, 432, 
##     442, 459, 460, 485, 500, 525, 532, 539, 546, 543, 554, 561, 
##     578, 580, 574, 579, 580, 568, 566, 575, 563, 545, 533, 534, 
##     532, 505, 500, 484, 486, 486, 466, 433, 426, 398, 394, 384, 
##     391, 387, 394, 397, 397, 399, 406, 405, 406, 406, 405, 407, 
##     394, 384, 365, 359, 367, 368, 419, 420, 424, 432, 435, 438, 
##     430, 429, 426, 425, 423, 430, 422, 424, 429, 426, 432, 436, 
##     124, 123, 124, 123, 119, 113, 91, 84, 89, 99, 100, 116, 132, 
##     191, 211, 238, 267, 334, 332, 304, 273, 262, 260, 257, 259, 
##     245, 235, 230, 208, 186, 186, 246, 264, 268, 298, 347, 368, 
##     365, 372, 325, 315, 281, 282, 257, 236, 212, 204, 203, 217, 
##     293, 243, 234, 231, 233, 275, 321, 339, 345, 360, 396, 390, 
##     373, 367, 348, 348, 326, 324, 319, 306, 296, 293, 287, 270, 
##     263, 249, 249, 236, 229, 272, 284, 293, 348, 377, 393, 395, 
##     400, 404, 405, 374, 355, 326, 299, 293, 282, 263, 265, 273, 
##     270, 270, 272, 266, 259, 292, 307, 319, 323, 342, 346, 367, 
##     375, 376, 395, 402, 372, 347, 349, 312, 290, 243, 241, 236, 
##     230, 234, 235, 237, 236, 244, 283, 292, 312, 368, 395, 399, 
##     415, 414, 395, 388, 387, 367, 361, 351, 340, 333, 324, 326, 
##     313, 298, 278, 268, 256, 254, 244, 244, 252, 254, 290, 306, 
##     308, 332, 412, 411, 313, 334, 327, 338, 350, 358, 389, 395, 
##     405, 407, 405, 400, 398, 386, 348, 343, 327, 327, 319, 309, 
##     315, 299, 263, 265, 262, 252, 261, 259, 279, 283, 299, 295, 
##     321, 328, 352, 352, 355, 399, 399, 411, 403, 375, 372, 345, 
##     341, 334, 334, 319, 294, 284, 277, 275, 265, 241, 235, 235, 
##     232, 232, 230, 230, 231, 217, 213, 213, 213, 199, 199, 199, 
##     199, 199, 199, 199, 191, 184, 182, 182, 186, 186, 184, 190, 
##     191, 191, 182, 183, 185, 190, 186, 186, 187, 184, 186, 185, 
##     189, 189, 189, 333, 336, 334, 328, 340, 329, 320, 318, 311, 
##     319, 325, 334, 338, 355, 329, 311, 320, 309, 304, 294, 296, 
##     316, 305, 304, 305, 310, 300, 306, 308, 303, 304, 305, 301, 
##     302, 303, 307, 308, 307, 314, 304, 313, 311, 311, 311, 317, 
##     313, 313, 312, 310, 317, 311, 317, 310, 314, 300, 307, 311, 
##     304, 313, 314, 304, 298, 292, 278, 276, 264, 253, 248, 229, 
##     219, 211, 226, 230, 220, 227, 232, 231, 226, 222, 219, 220, 
##     217, 216, 225, 258, 293, 327, 460, 494, 517, 528, 532, 539, 
##     545, 540, 542, 482, 475, 447, 399, 379, 297, 282, 235, 219, 
##     204, 231, 233, 280, 355, 364, 399, 522, 519, 489, 476, 467, 
##     368, 369, 327, 313, 269, 257, 253, 233, 264, 272, 339, 344, 
##     425, 440, 502, 503, 512, 512, 519, 495, 431, 418, 395, 386, 
##     353, 344, 314, 298, 301, 293, 291, 277, 267, 263, 256, 251, 
##     251, 324, 381, 383, 397, 439, 495, 522, 503, 502, 404, 396, 
##     380, 374, 347, 317, 311, 295, 277, 283, 344, 370, 375, 400, 
##     497, 510, 516, 507, 394, 457, 470, 469, 469, 474, 446, 447, 
##     445, 435, 420, 418, 404, 386, 385, 337, 313, 275, 270, 284, 
##     306, 305, 341, 431, 437, 466, 488, 488, 383, 419, 414, 486, 
##     483, 471, 453, 421, 418, 364, 331, 525, 497, 438, 430, 405, 
##     394, 373, 360, 344, 347, 332, 322, 301, 264, 255, 276, 311, 
##     319, 491, 522, 523, 517, 509, 471, 430, 424, 405, 285, 293, 
##     292, 288, 278, 280, 282, 287, 322, 345, 362, 387, 380, 381, 
##     388, 391, 394, 406, 399, 401, 404, 398, 397, 392, 381, 355, 
##     359, 357, 336, 333, 326, 311, 308, 306, 294, 297, 287, 281, 
##     279, 284, 287, 279, 287, 282, 283, 277, 283, 278, 276, 275, 
##     283, 312, 341, 366, 382, 397, 402, 403, 410, 409, 407, 399, 
##     396, 395, 391, 382, 372, 347, 344, 332, 337, 318, 300, 304, 
##     295, 297, 302, 300, 298, 295, 291, 325, 340, 354, 370, 379, 
##     397, 404, 435, 428, 401, 405, 396, 353, 348, 342, 343, 347, 
##     333, 325, 322, 326, 325, 320, 318, 320, 314, 319, 312, 322, 
##     324, 323, 318, 321, 317, 325, 327, 339, 337, 365, 384, 413, 
##     452, 448, 457, 460, 467, 473, 483, 492, 488, 481, 479, 471, 
##     462, 457, 441, 444, 440, 435, 416, 404, 347, 345, 278, 261, 
##     257, 263, 201, 211, 212, 217, 229, 233, 253, 260, 270, 284, 
##     289, 294, 293, 300, 299, 297, 309, 313, 274, 270, 245, 228, 
##     195, 149, 137, 120, 122, 124, 120, 118, 112, 106, 109, 107, 
##     114, 130, 154, 176, 212, 343, 412, 459, 479, 492, 513, 531, 
##     581, 591, 597, 603, 348, 342, 326, 325, 309, 278, 284, 280, 
##     264, 210, 198, 173, 159, 154, 139, 140, 134, 136, 149, 174, 
##     205, 231, 391, 434, 454, 478, 501, 566, 597, 595, 605, 601, 
##     603, 600, 605, 607, 604, 604, 601, 598, 588, 563, 499, 490, 
##     401, 372, 345, 321, 297, 298, 275, 275, 255, 234, 222, 146, 
##     126, 120, 117, 134, 137, 182, 215, 598, 584, 575, 574, 560, 
##     331, 308, 289, 253, 382, 411, 450, 454, 476, 506, 532, 555, 
##     592, 584, 605, 609, 608, 603, 600, 597, 599, 603, 582, 552, 
##     504, 478, 475, 417, 389, 356, 249, 253, 261, 262, 254, 258, 
##     259, 242, 240, 220, 217, 211, 211, -739, -730, -725, -702, 
##     -702, -697, -686, -643, -630, -606, -550, -515, -485, -521, 
##     -531, -543, -698, -544, -510, -502, -472, -480, -480, -489, 
##     -508, -517, -560, -581, -597, -637, -658, -702, -702, -707, 
##     -705, -712, -720, -723, -736, -736, -728, -723, -638, -624, 
##     -599, -558, -552, -529, -527, -511, -504, -474, -462, -466, 
##     -476, -487, -506, -503, -532, -613, -697, -706, -718, -716, 
##     -716, -715, -709, -707, -699, -706, -702, -706, -701, -650, 
##     -649, -620, -723, -731, -735, -723, -714, -716, -711, -707, 
##     -704, -691, -648, -594, -588, -557, -676, -685, -697, -712, 
##     -726, -721, -716, -696, -686, -680, -682, -671, -680, -678, 
##     -684, -672, -671, -653, -622, -604, -594, -482, -472, -463, 
##     -458, -459, -462, -488, -485, -513, -555, -597, -494, -484, 
##     -504, -601, -657, -679, -716, -710, -709, -707, -712, -708, 
##     -701, -680, -675, -661, -671, -676, -670, -652, -610, -584, 
##     -582, -544, -523, -481, -443, 382, 380, 299, 237, 234, 231, 
##     226, 223, 235, 239, 244, 261, 267, 271, 274, 276, 291, 292, 
##     293, 290, 288, 292, 291, 291, 287, 292, 293, 295, 291, 353, 
##     345, 337, 336, 342, 349, 363, 391, 416, 420, 425, 434, 449, 
##     482, 519, 529, 534, 310, 280, 264, 268, 241, 248, 249, 254, 
##     281, 292, 305, 386, 455, 467, 501, 513, 523, 482, 490, 495, 
##     479, 479, 463, 440, 407, 393, 396, 374, 350, 330, 305, 491, 
##     482, 444, 432, 410, 395, 387, 365, 356, 347, 335, 319, 313, 
##     281, 302, 319, 330, 352, 363, 297, 294, 300, 309, 313, 312, 
##     308, 312, 311, 304, 303, 316, 306, 297, 189, 184, 183, 180, 
##     185, 180, 180, 180, 180, 180, 180, 180, 191, 191, 409, 402, 
##     371, 334, 308, 302, 303, 301, 285, 285, 281, 289, 288, 291, 
##     292, 294, 298, 266, 268, 324, 341, 354, 363, 370, 375, 385, 
##     377, 350, 302, -658, -670, -699, -695, -711, -705, -696, 
##     -686, -687, -693, -675, -670, -626, -631, -621, -582, -555, 
##     -517, -499, -511, -490, -472, -467, -449, -450, -452, -464, 
##     -475, -553, -573, -576, -640, -660, -586, -568, -554, -540, 
##     -518, -527, -532, -536, -549, -680, -678, -724, -726, -725, 
##     -729, -730, -705, -718, -725, -739, -742, -727, -692, -682, 
##     -684, -680, -682, -643, -495, -467, -455, -450, -445, -442, 
##     -518, -543, -570, -641, -650, -716, -717, 217, 215, 230, 
##     249, 254, 254, 273, 420, 460, 479, 488, 512, 526, 510, 479, 
##     484, 460, 451, 435, 429, 426, 348, 303, 287, 257, 245, 239, 
##     214, 372, 417, 528, 571, 572, 576, 572, 562, 557, 567, 557, 
##     547, 546, 523, 405, 357, 304, 298, 287, 277, 248, 243, 170, 
##     165, 189, 200, 204, 214, 242, 255, 284, 309, 374, 453, 497, 
##     502, 583, 596, 590, 589, 589, 583, 523, 257, 241, 240, 232, 
##     211, 165, 127, 134, 116, 116, 119), magnet_dumbbell_z = c(-63, 
##     -60, -66, -69, -64, -65, -69, -56, -62, -74, -66, -72, -69, 
##     -68, -72, -68, -64, -66, -62, -68, -65, -65, -68, -65, -64, 
##     -68, -65, -65, -68, -74, -66, -67, -71, -52, -63, -77, -70, 
##     -54, -68, -64, -64, -64, -55, -53, -65, -51, -67, -66, -71, 
##     -53, -67, -67, -63, -63, -70, -62, -71, -70, -64, -60, -71, 
##     -69, -69, -65, -64, -70, -70, -69, -66, -49, -51, -69, -68, 
##     -67, -74, -72, -70, -54, -61, -70, -58, -73, -73, -73, -73, 
##     -73, -73, -73, -73, -73, -73, -73, -73, -73, -103, -87, -98, 
##     -91, -86, -65, -71, -155, -137, -124, -95, -89, -85, -74, 
##     -70, -53, -42, -48, -45, -49, -44, -46, -45, -39, -52, -35, 
##     -29, -40, -35, -33, -22, -20, -20, -17, -14, -22, -10, -27, 
##     -20, -9, -10, -18, -10, -13, -25, -25, -9, -11, -22, -21, 
##     -10, -20, -18, -20, -20, -19, -16, -17, -26, -24, -20, -24, 
##     -19, -31, -35, -25, -26, -29, -30, -28, -25, -26, -31, -16, 
##     -27, -33, -33, -32, -31, -31, -28, -32, -32, -32, -33, -36, 
##     -24, -33, -28, -36, -48, -40, -43, -51, -44, -57, -69, -70, 
##     -79, -83, -91, -99, -105, -146, -148, -104, -92, -89, -86, 
##     -89, -87, -89, -96, -91, -89, -80, -78, -75, -71, -58, -43, 
##     -30, -32, -17, -28, -32, -15, -22, -33, -37, -45, -52, -51, 
##     -59, -67, -85, -79, -84, -76, -64, -55, -52, -52, -59, -49, 
##     -55, -37, -45, -57, -57, -68, -73, -98, -117, -128, -157, 
##     -154, -157, -144, -137, -104, -100, -100, -91, -96, -100, 
##     -103, -98, -90, -93, -80, -88, -75, -73, -79, -80, -77, -84, 
##     -70, -64, -66, -61, -46, -56, -57, -39, -47, -73, -75, -88, 
##     -94, -111, -153, -146, -178, -180, -173, -163, -167, -161, 
##     -125, -107, -105, -88, -90, -94, -58, -64, -57, -67, -63, 
##     -64, -58, -67, -66, -78, -128, -135, -138, -152, -158, -165, 
##     -150, -128, -112, -110, -111, -103, -107, -94, -96, -81, 
##     -77, -87, -82, -83, -82, -69, -77, -71, -71, -76, -72, -55, 
##     -69, -65, -68, -67, -50, -58, -45, -65, -56, -62, -74, -85, 
##     -91, -89, -109, -121, -127, -134, -147, -120, -96, -104, 
##     -109, -98, -97, -96, -90, -89, -112, -108, -124, -140, -145, 
##     -146, -154, -116, -105, -112, -115, -106, -101, -108, -108, 
##     -110, -105, -99, -98, -65, -58, -84, -84, -101, -109, -144, 
##     -121, -104, -105, -100, -100, -95, -165, -177, -184, -171, 
##     -152, -129, -143, -134, -132, -128, -116, -108, -110, -109, 
##     -101, -113, -107, -101, -106, 40, 39, 35, 46, 37, 38, 39, 
##     60, 35, 35, 37, 53, 38, 38, 30, 50, 37, 32, 49, 38, 38, 29, 
##     45, 50, 48, 36, 33, 29, 37, 29, 24, 29, 17, 24, 11, 7, 9, 
##     2, 4, 8, 0, 5, 2, 1, 7, 0, 2, 15, 7, 9, 19, 27, 10, 27, 33, 
##     33, 18, 28, 12, 18, 19, 13, 7, 20, 5, 23, 17, 17, 9, 16, 
##     14, 0, 8, 10, 3, 12, 5, 17, 13, 14, 8, 14, 10, 6, 4, 13, 
##     10, 10, 14, 8, 0, 11, 10, 0, 5, 6, 21, 6, 7, 16, 6, 8, -6, 
##     8, 5, 23, 8, 9, 16, 10, 3, 2, 9, 12, 1, 6, 9, 11, 19, 7, 
##     20, 4, 11, 11, 9, -3, 10, 12, 19, 13, 11, 19, 15, 23, -216, 
##     -208, -199, -183, -184, -170, -182, -182, -175, -184, -164, 
##     -185, -186, 11, 28, 20, 10, 11, 16, 16, 27, 12, 18, 28, 22, 
##     22, 14, 24, 1, 1, -9, 2, -8, -7, 2, -12, -15, 48, 44, 45, 
##     45, 47, 46, 41, 41, 41, 40, -15, -16, -12, -15, -16, -22, 
##     -26, -12, -29, -21, -23, -18, -16, -21, -8, -22, -28, -29, 
##     -12, -10, -16, 29, 26, 23, 33, 37, 47, 48, 53, 51, 54, 62, 
##     60, 72, 68, 66, 57, 64, 59, 63, 56, 58, 47, 33, 53, 34, 25, 
##     19, 31, 32, 28, 28, 35, 36, 41, 31, 40, 46, 40, 45, 47, 55, 
##     63, 54, 55, 57, 50, 56, 65, 52, 55, 57, 46, 45, 69, 49, 52, 
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##     -20, -23, -22, -41, -39, -40, -49, -36, 34, 56, 51, 45, 61, 
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##     -43, -36, -38, -20, -31, -24, -17, -14, -7, -8, -7, 11, -2, 
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##     308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 
##     308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 
##     308, 308, 308, 308, 308, 308, 308, 261, 260, 257, 249, 240, 
##     236, 226, 233, 250, 260, 260, 261, 266, 275, 263, 286, 275, 
##     278, 280, 275, 280, 290, 298, 306, 308, 301, 302, 307, 306, 
##     296, 301, 311, 289, 289, 303, 306, 295, 279, 280, 272, 271, 
##     286, 277, 297, 288, 287, 295, 303, 283, 276, 283, 283, 283, 
##     293, 283, 289, 304, 300, 311, 293, 292, 279, 301, 298, 283, 
##     278, 275, 295, 282, 282, 305, 302, 302, 311, 301, 306, 320, 
##     309, 305, 314, 306, 310, 310, 298, 298, 292, 298, 291, 294, 
##     294, 282, 288, 285, 300, 283, 295, 288, 321, 316, 320, 314, 
##     316, 320, 324, 328, 313, 317, 317, 335, 325, 313, 293, 292, 
##     301, 295, 298, 301, 315, 319, 308, 315, 302, 307, 299, 306, 
##     306, 320, 319, 317, 331, 307, 308, 319, 321, 319, 327, 318, 
##     313, 314, 310, 316, 315, 311, 299, 298, 291, 293, 312, 302, 
##     311, 315, 310, 311, 326, 313, 328, 334, 332, 328, 315, 323, 
##     323, 329, 326, 319, 316, 324, 331, 340, 329, 323, 319, 324, 
##     336, 327, 328, 337, 332, 353, 342, 329, 336, 321, 322, 317, 
##     316, 308, 317, 314, 321, 322, 316, 309, 307, 314, 315, 332, 
##     355, 346, 335, 341, 331, 332, 351, 336, 327, 333, 342, 342, 
##     334, 339, 328, 347, 334, 336, 335, 336, 328, 343, 320, 329, 
##     321, 314, 310, 311, 318, 311, 315, 317, 312, 311, 297, 302, 
##     300, 320, 329, 334, 334, 335, 341, 342, 342, 342, 349, 345, 
##     346, 327, 313, 310, 304, 307, 291, 293, 294, 297, 286, 293, 
##     287, 306, 295, 286, 299, 291, 288, 290, 289, 301, 304, 296, 
##     309, 308, 294, 296, 293, 298, 293, 299, 291, 294, 292, 299, 
##     308, 307, 301, 289, 293, 287, 300, 283, 293, 299, 300, 278, 
##     281, 278, 281, 285, 270, 262, 264, 300, 297, 314, 383, 404, 
##     386, 373, 372, 373, 363, 374, 376, 378, 382, 362, 357, 322, 
##     315, 313, 279, 287, 288, 283, 273, 270, 275, 256, 256, 271, 
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##     41, 44, 51, 54, 52, 46, 52, 48, 51, 53, 54, 47, 56, 50, 60, 
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##     69, 68, 64, 77, 64, 68, 64, 67, 65, 61, 78, 70, 69, 74, 65, 
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##     -55, -74, -74, -72, -68, -68, -67, -69, -57, -59, -66, -71, 
##     -63, -65, -70, -69, -77, -76, -80, -100, -101, -96, -94, 
##     -75, -55, -47, -53, -49, -45, -58, -64, -58, -58, -62, -62, 
##     -55, -54, -40, -44, -50, -55, -54, -37, -44, -44, -55, -63, 
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##     -26, -31, -24, -21, -30, -29, -25, -26, -30, -20, -23, -29, 
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##     57, 58, 54, 50, 60, 55, 54, 54, 55, 57, 59, 51, 56, 58, 55, 
##     56, 55, 52, 47, 68, 70, 66, 50, 48, 43, 49, 59, 49, 55, 51, 
##     53, 54, 46, 52, 58, 56, 69, 54, 60, 63, 70, 64, 63, 61, 59, 
##     74, 65, 60, 69, 70, 56, 56, 60, 65, 64, 52, 58, 58, 72, 60, 
##     55, 57, 60, 59, 56, 66, 65, 57, 59, 56, 60, 65, 61, 57, 65, 
##     61, 64, 54, 72, 57, 59, 66, 62, 53, 59, 55, 63, 43, 37, 41, 
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##     -40, -38, -19, -14, -17, -22, -8, -27, -31, -24, -25, -22, 
##     -23, -16, -6, 7, 10, 5, 10, 8, 1, 21, 6, 5, 10, 8, -3, -19, 
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##     -31, -41, -30, -34, -43, -47, -51, -48, -43, -36, -31, -19, 
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##     -67, -69, -70, -60, -44, -62, -57, -68, -71, -77, -59, -68, 
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##     -56, -62, -67, -75, -62, -72, -75, -74, -56, -53, -40, -47, 
##     -50, -59, -42, -38, -3, -7, 6, 15, 18, 4, -18, -42, -34, 
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##     -32, -21, -25, -24, -17, -10, -3, -18, -21, -31, -26, -31, 
##     -56, -62, -65, -59, -69, -75, -73, -79, -65, -59, -54, -61, 
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##     -19, -20, -11, 1, -22, -24, -25, -34, -47, -39, -49, -50, 
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##     -38, -25, -49, -40, -70, -52, -62, -73, -50, -63, -60, -50, 
##     -51, -48, -53, -56, -58, -57, -58, -44, -48, -47, -39, -34, 
##     -25, -18, -14, -17, -18, -22, -17, -31, -38, -41, -52, -64, 
##     -69, -74, -78, -93, -98, -97, -103, -93, -82, -58, -52, -27, 
##     -25, -15, -10, -7, -7, -9, -7, -26, -41, 308, 311, 317, 310, 
##     327, 303, 300, 315, 316, 318, 308, 301, 309, 313, 302, 308, 
##     308, 308, 308, 308, 308, 308, 308, 308, 308, 1, -2, 0, -15, 
##     -21, -26, -35, -37, -32, -47, -52, -36, 37, 27, 34, 32, 37, 
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##     41, 52, 42, 58, 54, 49, 54, 61, 61, 48, 48, 39, 43, 38, 38, 
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##     -103, -102, -97, -86, -80, -81, -83, -68, -95, -95, -92, 
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##     -177, -185, -195, -201, -215, -216, -206, -214, -185, -181, 
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##     -195, -189, -183, -184, -192, -185, -178, -190, -185, -188, 
##     -171, -183, -176, -173, 10, 15, 26, 23, 9, 28, 39, 27, 31, 
##     28, 32, 31, 37, 44, 38, 55, 48, 37, 37, 35, 37, 33, 38, 23, 
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##     -34, -9, -15, -3, 4, 8, -8, -1, 1, 12, 0, -3, 6, 7, 7, 14, 
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##     -74, 53, 52, 47, 55, 53, 42, 39, 41, 44, 43, 48, 51, 51, 
##     48, 51, 61, 43, 43, 55, 69, 57, 57, 55, 50, 54, 59, 52, 52, 
##     67, 56, 57, 62, 49, 60, 54, 48, 336, 339, 327, 327, 335, 
##     318, 314, 318, 319, 319, 312, 300, 300, 312, 301, 304, 320, 
##     315, 312, 312, 322, 314, 333, 317, 326, 306, 325, 324, 326, 
##     329, 324, 325, 324, 332, 332, 321, 309, 309, 306, 299, 325, 
##     304, 321, 329, 318, 327, 318, 315, 320, 316, 314, 291, 283, 
##     296, 298, 300, 316, 303, 296, 300, 294, 315, 305, 301, 310, 
##     317, 274, 274, 274, 274, 274, 274, 274, 271, 271, 271, 265, 
##     273, 273, 261, 261, 267, 267, 267, 267, 267, 313, 312, 310, 
##     310, 69.6, 313, 308, 321, 317, 307, 302, 308, 313, 310, 315, 
##     311, 318, 311, 309, 312, 311, 331, 310, 317, 319, 311, 314, 
##     317, 312, 313, 311, 315, 315, 327, 309, 318, 317, 313, 312, 
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##     -184, -191, -219, -207, -213, -190, -172, -176, -157, -151, 
##     -116, -124, -122, -122, -109, -98, -81, -88, -75, -50, -53, 
##     -77, -94, -114, -115, -137, -138, -146, -183, -206, -199, 
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##     -77, -77, -80, -68, 14, 13, 18, 13, 19, 27, 12, 8, 6, 14, 
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##     101, 98, 107, 101, 117, 123, 116, 131, 133, 141, 137, 143, 
##     138, 145, 132, 140, 132, 141, 130, 128, 116, 107, 83, 84, 
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##     39, 46, 29, 23, -34, -51, -41, -32, -1, 15, 24, 38, 53, 47, 
##     49, 49, 33, 32, 38, 17, 22, 50, 65, 61, 68, 65, 67, 81, 87, 
##     80, 64, 58, 62, 84, 93, 73, 74, 74, 59, 58, 71, 58, 65, 49, 
##     65, 64, 51, 42, 45, 58, 61, 73, 93, 97, 94, 98, 61, 60, 56, 
##     65, 74, 58, 55, 73, 59, 59, 71, 50, 71, 77, 58, 62, 57, 56, 
##     73, 70, 72, 73, 83, 59, 66, 86, 92, 91, 91, 103, 96, 111, 
##     113, 120, 118, 120, 112, 109, 104, 94, 98, 91, 89, 71, 79, 
##     60, 61, 81, 103, 103, 110, 112, 114, 120, 105, 100, 81, 82, 
##     78, 76, 68, 65, 75, 67, 63, 67, 62, 56, 63, 77, 83, 83, 82, 
##     82, 85, 86, 127, 136, 145, 140, 143, 120, 112, 112, 97, 100, 
##     94, 88, 109, 98, 100, 116, 111, 130, 95, 94, 95, 108, 128, 
##     159, 90, 86, 81, 95, 94, 99, 102, 72, 86, 139, 128, 136, 
##     139, 134, 115, 103, 72, 78, 74, 60, 70, 67, 46, 54, 58, 70, 
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##     107, 107, 104, 93, 90, 88, 89, 93, 92, 80, 82, 76, 69, 69, 
##     69, 75, 97, 108, 105, 120, 108, 107, 116, 109, 124, 122, 
##     123, 128, 119, 120, 131, 101, 100, 117, 109, 136, 135, 155, 
##     140, 145, 122, 106, 112, 115, 99, 107, 113, 114, 105, 93, 
##     90, 91, 91, 87, 100, 91, 103, 113, 117, 125, 131, 142, 131, 
##     129, 129, 135, 121, 122, 121, 117, 88, 85, 86, 88, 89, 88, 
##     80, 84, 87, 75, 87, 88, 71, 77, 75, 75, 74, 147, 185, 179, 
##     176, 181, 192, 184, 165, 168, 167, 170, 148, 140, 136, 128, 
##     97, 105, 87, 86, 87, 82, 88, 95, 86, 92, 87, 86, 84, 96, 
##     85, 92, 78, 82, 77, 93, 81, 75, 85, 89, 111, 117, 131, 145, 
##     131, 136, 158, 150, 163, 146, 165, 156, 162, 164, 166, 170, 
##     171, 123, 113, 116, 119, 118, 114, 122, 93, 100, 106, 91, 
##     110, 101, 104, 114, 126, 131, 158, 169, 92, 96, 99, 92, 99, 
##     117, 107, 111, 124, 126, 114, 112, 107, 103, 106, 94, 94, 
##     93, 94, 91, 87, 94, 101, 92, 105, 137, 148, 152, 151, 162, 
##     145, 144, 145, 161, 155, 156, 152, 163, 176, 166, 166, 160, 
##     145, 135, 131, 116, 94, 72, 78, 76, 65, 64, 76, 82, 80, 84, 
##     84, 80, 85, 88, 80, 75, 83, 79, 63, 61, 75, 76, 78, 84, 88, 
##     110, 114, 125, 127, 128, 132, 139, 135, 144, 140, 135, 135, 
##     138, 147, 139, 134, 142, 140, 137, 145, 151, 154, 153, 153, 
##     147, 118, 104, 100, 98, 91, 91, 84, 81, 77, 72, 92, 75, 75, 
##     81, 75, 87, 70, 73, 62, 80, 67, 70, 70, 72, 93, 89, 100, 
##     122, 122, 166, 186, 174, 174, 167, 170, 163, 146, 140, 137, 
##     113, 97, 177, 181, 128, 120, 114, 121, 112, 132, 120, 83, 
##     74, 69, 83, 95, 98, 134, 132, 141, 123, 141, 139, 138, 148, 
##     145, 142, 144, 139, 152, 126, 129, 140, 139, 131, 138, 152, 
##     156, 157, 158, 156, 144, 99, 90, 96, 93, 97, 93, 92, 98, 
##     100, 105, 94, 98, 95, 88, 90, 108, 111, 102, -27, -24, -21, 
##     -5, -6, 5, 12, 11, 27, 30, 35, 31, 24, 17, 23, 14, 11, 13, 
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##     -102, -100, -96, -64, -60, -56, -46, -59, -56, -58, -68, 
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##     -94, -102, -106, -107, -106, -101, -70, -57, -68, -39, -59, 
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##     44, 47, 48, 39, 34, 39, 39, 36, 35, 40, 35, 37, 37, 42, 39, 
##     47, 58, 46, 52, 58, 53, 52, 54, 52, 48, 64, 50, 54, 55, 53, 
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##     -74, -73, -73, -73, -75, -82, -67, -80, -76, -78, -55, -54, 
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##     -191, -193, -180, -149, -169, 123, 112, 146, 149, 138, 125, 
##     110, 110, 120, 105, 117, 152, 156, 159, 157, 144, 125, 115, 
##     107, 110, 112, 114, 118, 87, 86, 96, 91, 95, 76, 80, 71, 
##     64, 71, 85, 65, 71, 111, 114, 111, 125, 129, 47, 94, 91, 
##     70, 68, 49, 71, 67, 83, 76, 75, 60, 46, 38, 34, -39, -28, 
##     14, 16, 21, 22, 25, 23, 42, 31, 35, 32, 30, 43, 33, 29, 36, 
##     30, 29, 34, 29, 387, 387, 387, 387, 387, 387, 387, 387, 387, 
##     387, 387, 387, 387, 387, 387, 387, 424, 426, 405, 406, 384, 
##     326, 350, 357, 384, 370, 371, 381, 379, 414, 397, 411, 410, 
##     409, 376, 435, 451, 438, 423, 405, 348, 342, 330, 325, 336, 
##     406, 399, 406, 389, 383, 368, 360, 350, 340, 320, 305, 308, 
##     286, 285, 260, 247, 272, 328, 322, 309, 299, 295, 273, 275, 
##     281, 288, 277, 310, 338, 381, 399, 397, 393, 391, 403, 394, 
##     406, 392, 379, 373, 371, 353, 336, 336, -102, -100, -115, 
##     -128, -135, -163, -205, -238, -239, -245, -245, -248, -220, 
##     -225, -232, -202, -189, -186, -180, -211, -203, -197, -162, 
##     -87, -87, -81, -87, -85, -123, -142, -142, 51, 51, 79, 72, 
##     54, 70, 53, 45, 56, 53, 55, 52, 52, 39, 39, 37, 36, 42, 41, 
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##     -48, -59, -61, -64, -65, -60, -36, -18, -15, -18, -9, -36, 
##     -22, -26, -20, -22, -1, 8, 2, 1, 13, 12, -45, -38, -39, -45, 
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##     -42, -44, -45, -45, -17, -26, -37, -30, -22, -15, -20, -41, 
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##     -131, -114, -127, -111, -126, -118, -109, -109, -107, -92, 
##     -91, -94, -82, -80, -73, -50, -36, -30, -23, -19, -16, 0, 
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##     -28, -29, -39, -27, -38, -33, -43, -52, -48, -53, -40, -56, 
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##     -35, -33, -34, -35, -42, -49, -58, -70, -69, -71, -87, -80, 
##     -82, -86, -68, -91, -70, -71, -56, -68, -53, -60, -55, -42, 
##     -52, -49, -53, -33, -33, -43, -41, -37, -35, -40, -26, -46, 
##     -46, -38, -42, -56, -52, -63, -62, -72, -76, -75, -75, -70, 
##     -67, -67, -58, -58, -63, -55, -51, -51, -49, -45, -18, -38, 
##     -29, -32, -37, -32, -43, -48, -52, -50, -54, -68, -59, -63, 
##     -79, -74, -71, -68, -77, -77, -70, -59, -60, -38, -38, -34, 
##     -37, -29, -29, -23, -38, -32, -38, -30, -29, -31, -41, -40, 
##     -64, -64, -57, -65, -61, 378, 379, 379, 356, 303, 303, 303, 
##     303, 303, 303, 308, 310, 310, 310, 310, 310, 310, 310, 307, 
##     312, 304, 307, 302, 312, 303, 308, 250, 250, 250, 250, 250, 
##     250, 250, 251, 256, 269, 281, 277, 281, 270, 279, 279, 272, 
##     266, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 260, 254, 254, 
##     239, 231, 227, 254, 256, 254, 257, 258, 271, 266, 275, 265, 
##     251, 254, 262, 251, 263, 252, 265, 257, 265, 265, 258, 264, 
##     261, 263, 234, 243, 245, 252, 259, 252, 265, 260, 268, 275, 
##     264, 264, 266, 262, 267, 266, 269, 284, 293, 277, 286, 290, 
##     264, 277, 255, 249, 246, 263, 247, 248, 258, 267, 259, 267, 
##     286, 278, 278, 274, 273, 272, 267, 272, 280, 265, 284, 265, 
##     268, 270, 275, 272, 269, 265, 268, 284, 276, 278, 273, 279, 
##     273, 258, 246, 257, 279, 265, 265, 265, 265, 265, 265, 265, 
##     265, 265, 260, 268, 277, 283, 273, 278, 268, 280, 280, 280, 
##     280, 280, 280, 280, 263, 276, 255, 255, 255, 255, 255, 255, 
##     244, 235, 235, 223, 222, 216, 231, 219, 219, 219, 219, 219, 
##     219, 219, 219, 219, 219, 219, 219, 50, 55, 54, 56, 69, 58, 
##     54, 60, 58, 58, 55, 61, 67, 54, 67, 55, 66, 55, 52, 45, 51, 
##     42, 23, 22, 22, 26, 34, 25, 33, 39, 25, 23, 28, 18, 24, 27, 
##     12, 11, 30, 10, 15, 10, 15, 18, 16, 17, 10, 24, 33, 29, 19, 
##     18, 23, 31, 14, 22, 15, 23, 23, 14, 32, 32, 14, 17, 21, 14, 
##     10, 27, 4, 23, 3, -1, 5, 8, 0, 1, 0, -8, -4, 3, -1, 3, 14, 
##     3, 6, 18, 14, 9, 17, 12, 10, 10, 5, 24, 4, 5, 9, 5, 19, 6, 
##     8, 20, 7, 11, 6, 16, 5, -2, 7, 0, -2, 1, 2, 9, 0, -6, -4, 
##     3, -7, 3, 4, 1, 4, 9, 7, 3, 9, 0, 10, 8, 19, 0, 4, 5, 11, 
##     11, 10, 23, 15, 23, 13, 8, 14, 4, 13, 7, 1, 3, 16, 8, 18, 
##     -1, 5, 10, 25, 2, 1, 6, 8, 3, 15, 20, 23, 25, 12, 21, 16, 
##     30, 15, 9, 11, 13, 8, 5, 14, 5, -3, 6, 9, 8, 10, 12, 9, 23, 
##     7, 27, 27, 15, 18, 21, 9, 20, 30, 13, 21, 15, 12, 5, 5, 9, 
##     17, 5, 7, 10, 12, 3, -10, 0, 9, 25, 29, 10, 31, 10, 8, 4, 
##     7, 16, 20, 13, 12, 23, 9, 11, 11, 11, 19, 25, 31, 20, 25, 
##     14, 10, 6, 7, 9, 2, -9, -2, -3, 1, 8, 1, -3, 0, -7, -9, 7, 
##     19, 10, 7, 29, 5, 18, 17, 9, 13, 7, 5, 18, 24, 15, 15, 22, 
##     86, 123, 148, 138, 147, 151, 149, 139, 108, 118, 116, 120, 
##     116, 125, 114, 112, 97, 90, 88, 83, 85, 88, 119, 131, 134, 
##     144, 147, 146, 141, 137, 153, 148, 141, 155, 143, 140, 145, 
##     126, 132, 129, 131, 138, 129, 129, 126, 128, 144, 130, 136, 
##     138, 148, 138, 137, 149, 140, 138, 132, 121, 112, 116, 110, 
##     107, 106, 129, 111, 115, 105, 105, 102, 101, 115, 104, 89, 
##     98, 107, 90, 93, 92, 92, 99, 100, 84, 101, 97, 104, 101, 
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##     56, 66, 69, 67, 77, 66, 55, 55, 43, 57, 56, 43, 43, 43, 37, 
##     47, 42, 43, 51, 46, 70, 60, 59, 68, 68, 67, 79, 72, 79, 80, 
##     72, 73, 74, 75, 80, 63, 74, 54, 55, 48, 53, 50, 66, 58, 60, 
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##     87, 77, 74, 71, 61, 71, 66, 69, 76, 78, 93, 103, 101, 104, 
##     105, 105, 106, 114, 110, 110, 109, 115, 129, 133, 114, 116, 
##     119, 119, 114, 120, 126, 128, 135, 123, 134, 131, 123, 115, 
##     98, 96, 105, 128, 125, 126, 119, 108, 99, 104, 102, 116, 
##     157, 142, 96, 99, 96, 86, 100, 126, 146, 141, 135, 118, 130, 
##     140, 138, 132, 130, 140, 137, 136, 141, 150, 154, 147, 159, 
##     143, 140, 143, 151, 143, 145, 147, 152, 156, 139, 150, 146, 
##     135, 150, 136, 140, 138, 147, 144, 149, 150, 150, 152, 146, 
##     165, 150, 118, 81, 162, 147, 145, 148, 146, 148, 147, 144, 
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##     -40, -15, -5, 16, 49, 60, 51, 68, 73, 81, 87, 90, 89, 96, 
##     97, 89, 97, 86, 86, 82, 85, 82, 89, 79, 78, 77, 84, 85, 87, 
##     91, 98, 105, 109, 112, 105, 104, 95, 100, 62, 61, 68, 65, 
##     61, 64, 70, 66, 77, 80, 78, 78, 83, 81, 76, 93, 77, 87, 89, 
##     99, 86, 93, 87, 85, 75, 82, 87, 79, 75, 76, 79, 74, 69, 67, 
##     65, 63, 62, 62, 59, 57, 47, 43, 40, 31, 36, 30, 37, 36, 29, 
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##     62, 57, 58, 60, 25, 33, 34, 32, 43, 28, 45, 36, 41, 38, 40, 
##     44, 44, 53, 52, 63, 59, 65, 60, 69, 74, 75, 72, 83, 77, 78, 
##     94, 78, 72, 70, 75, 76, 64, 64, 69, 56, 49, 50, 48, 53, 53, 
##     49, 42, 41, 56, 57, 56, 62, 56, 48, 58, 55, 53, 55, 46, 56, 
##     67, 72, 77, 62, 79, 69, 64, 73, 65, 91, 80, 75, 74, 67, 65, 
##     55, 72, 45, 55, 47, 48, 40, 42, 38, 38, 45, 40, 28, 39, 36, 
##     25, 43, 39, 38, 47, 49, 36, 47, 36, 38, 52, 43, 52, 67, 46, 
##     51, 62, 48, 59, 36, 45, 38, 32, 31, 40, 32, 34, 36, 50, 42, 
##     41, 40, 48, 39, 48, 59, 53, 57, 61, 57, 56, 77, 80, 79, 82, 
##     78, 88, 84, 67, 67, 61, 69, 58, 66, 51, 54, 38, 37, 36, 40, 
##     46, 42, 45, 37, 48, 52, 40, 63, 52, 45, 56, 51, 68, 79, 81, 
##     77, 83, 80, 69, 68, 79, 63, 76, 64, 66, 67, 76, 41, 34, 34, 
##     37, 37, 42, 50, 52, 53, 51, 44, 59, 55, 58, 50, 61, 58, 60, 
##     60, 56, 65, 61, 74, 73, 70, 79, 73, 74, 76, 65, 58, 67, 75, 
##     65, 77, 67, 59, 62, 55, 64, 56, 62, 72, 61, 71, 61, 65, 57, 
##     53, 51, 52, 49, 28, 32, 96, 90, 92, 93, 77, 76, 62, 67, 75, 
##     70, 62, 53, 69, 61, 145, 148, 108, 64, 13, 2, -2, -6, 0, 
##     -2, 32, 89, 79, 66, 66, 85, 89, 113, 139, 150, 153, 168, 
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##     -9, -10, -15, -4, -11, -16, -12, -15, -4, -7, -3, -4, 2, 
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##     5, -14, -14, -11, -7, -17, -13, -22, -11, -23, -20, -24, 
##     -9, -11, -19, -20, -23, -10, -9, -15, 0, -3, 3, -4, 2, 13, 
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##     -2, -27, -13, -23, -21, -19, -18, -16, -15, -13, -14, -14, 
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##     -12, -14, -16, -15, -14, -8, -11, -10, -19, -14, -2, -9, 
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##     -2, -10, -2, -14, 2, -13, 3, -7, -9, -16, -23, -18, -4, 18, 
##     19, 28, 10, 13, 12, 24, 18, 19, 9, 20, 5, 122, 124, 115, 
##     139, 145, 147, 146, 134, 125, 126, 134, 132, 130, 149, 145, 
##     143, 138, 135, 143, 127, 124, 130, 96, 109, 107, 105, 96, 
##     104, 97, 94, 99, 89, 89, 89, 91, 83, 90, 94, 89, 88, 85, 
##     99, 277, 264, 262, 256, 261, 279, 265, 280, 273, 273, 273, 
##     274, 269, 269, 228, 228, 234, 228, 228, 231, 232, 242, 249, 
##     258, 258, 261, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, -42, 
##     -50, -45, -69, -86, -90, -88, -69, -77, -68, -64, -68, -78, 
##     -72, -79, -74, -76, -72, -71, -56, -60, -59, -61, -43, -24, 
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##     -44, -50, -29, -26, -27, -65, -68, -62, -55, -52, -50, -55, 
##     -50, -47, -48, -47, -40, -41, -41, -62, -64, -51, -57, -64, 
##     -62, -71, -67, -75, -72, -75, -74, 8, 10, 16, 24, 18, 25, 
##     10, 11, 19, 11, 25, 26, 19, 13, 11, 23, 22, 5, 11, 25, 27, 
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##     -2, -8, -15, -10, -21, -12, -26, -22, -11, -5, 4, 8, -14, 
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##     -46, -24, -16, -29, -27, -28, -35, -35, -24, -42, -35, -39, 
##     -55, -50, -66, -63, -71, -66, -76, -71, -73, -54, -72, -71, 
##     -72, -67, -65, -40, -25, -33, -33, -34, -19, -43, -40, -45, 
##     -57, -57, -54, -57, -64, -74, -83, -75, -74, -76, -74, -73, 
##     -71, -61, -54, -64, -53, -55, -48, -34, -23, -32, -33, -41, 
##     -40, -56, -49, -52, -53, -48, -59, -62, -66, -80, -84, -68, 
##     -78, -86, -129, -87, -83, -88, -91, -88, -93, -75, -59, -71, 
##     -72, -72, -71, -74, -71, -68, -63, -78, -77, -78, -77, -101, 
##     -141, -123, -97, -100, -98, -90, -90, -77, -85, -92, -78, 
##     -82, -70, -66, -72, -66, -69, -63, -74, -71, -71, -89, -89, 
##     -76, -76, -67, -74, -68, -70, -81, -80, -88, -89, -92, -94, 
##     -122, -133, -147, -177, -176, -168, -112, -111, -106, -87, 
##     -88, -90, -88, -77, -92, -85, -91, -99, -87, -86, -79, -78, 
##     -80, -68, -82, -125, -111, -100, -90, -82, -103, -101, -89, 
##     -78, -89, -88, -81, -87, -90, -83, -80, -84, -93, -121, -120, 
##     -128, -157, -162, -150, -126, -105, -112, -95, -99, -92, 
##     -98, -81, -94, -88, -81, -90, -93, -73, -75, -77, -60, -73, 
##     -69, -61, -66, -83, -134, -149, -149, -151, -148, -133, -111, 
##     -112, -84, -87, -89, -96, -87, -89, -86, -84, -81, -79, -42, 
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##     -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -69, -73, -82, -84, -80, -77, -44, 
##     -54, -52, -50, -34, -39, -51, -40, -44, -47, -49, -47, -49, 
##     -55, -58, -53, -50, -47, -39, -36, -51, -41, -36, -42, -39, 
##     -39, -40, -43, -50, -57, -60, -69, -80, -79, -81, -92, -92, 
##     -81, -58, -63, -56, -60, -60, -60, -58, -59, -43, -44, -68, 
##     -56, -69, -56, -38, -46, -48, -56, -61, -65, -60, -50, -68, 
##     -57, -81, -83, -91, -79, -85, -58, -67, -46, -64, -72, -51, 
##     -58, -53, -52, -51, -48, -34, -49, -44, -38, -25, -44, -37, 
##     -55, -65, -70, -74, -55, -52, -40, -33, -32, -41, -28, -36, 
##     -38, -29, -35, -37, -26, -23, -46, -26, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, 219, 219, 219, 219, 219, 219, 238, 
##     229, 233, 246, 258, 261, 264, 264, 269, 275, 271, 276, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 139, 104, 95, 117, 125, 173, 226, 234, 312, 
##     347, 374, 404, 422, 431, 417, 410, 423, 417, 412, 415, 410, 
##     400, 377, 323, 313, 306, 253, 215, 210, 239, 210, 221, 183, 
##     172, 118, 103, 108, 104, 194, 232, 298, 316, 328, 354, 363, 
##     373, 385, 413, 408, 417, 422, 430, 425, 423, 418, 428, 396, 
##     362, 365, 296, 289, 232, 216, 197, 138, 132, 140, 154, 163, 
##     224, 239, 247, 276, 327, 349, 351, 370, 389, 400, 411, 417, 
##     414, 393, 366, 362, 327, 315, 312, 281, 281, 275, 275, 260, 
##     215, 199, 182, 119, 147, 151, 194, 239, 254, 282, 297, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 316, 311, 311, 317, 314, 
##     309, 313, 316, 309, 302, 310, 24, 12, 9, 4, -6, -3, -8, -8, 
##     -2, 12, 17, 1, 17, 12, 2, 4, -8, -6, -11, -11, -9, -10, -15, 
##     -10, -6, 4, -1, 2, -5, 12, 1, -5, -9, -12, -11, -18, -31, 
##     -48, -29, -12, -9, 1, 6, -5, -6, -5, -4, 8, -9, -22, -12, 
##     -15, -8, -25, -2, -1, -7, 1, -7, -13, -10, -7, -6, -5, -16, 
##     -31, -19, -27, -32, -37, -45, -28, -38, -28, -7, -18, -1, 
##     -8, -21, -26, -26, -33, -29, -24, -22, -22, -23, -1, -20, 
##     -12, -16, -14, -19, -10, -19, -6, -15, -16, -25, -26, -27, 
##     -44, -45, -35, -44, -40, -14, -16, -16, -18, -19, -17, -22, 
##     -25, -19, -27, -25, -26, -11, -5, -13, -11, -22, -38, -36, 
##     -28, -18, -14, -7, -11, -11, -10, -8, -11, 7, -9, -10, -11, 
##     -7, -13, -15, -9, -11, -4, -3, -9, -18, -23, -22, -20, -27, 
##     -7, -4, -16, -19, -7, -11, -15, -15, -10, -11, -3, -5, -12, 
##     -13, -21, -18, -19, -22, -32, -32, -21, -14, -24, -3, -12, 
##     -12, -17, -23, -21, -32, -22, -6, 164, 154, 156, 146, 150, 
##     147, 144, 152, 149, 128, 109, 113, 116, 125, 120, 108, 113, 
##     101, 108, 104, 103, 104, 103, 105, 91, 96, 100, 95, 90, 92, 
##     91, 93, 96, 90, 84, 82, 77, 87, 83, 85, 76, 84, 82, 77, 80, 
##     89, 76, 74, 81, 74, 78, 87, 105, 94, 98, 103, 108, 105, 113, 
##     108, 108, 105, 119, 130, 121, 105, 103, 114, 90, 86, 88, 
##     84, 86, 96, 108, 103, 99, 95, 88, 84, 90, 88, 91, 91, 92, 
##     86, 83, 89, 94, 93, 100, 108, 102, 92, 93, 101, 99, 100, 
##     96, 100, 100, 105, 103, 87, 85, 81, 83, 103, 106, 100, 106, 
##     111, 106, 112, 105, 100, 100, 96, 76, 68, 52, 58, 74, 79, 
##     70, 65, 88, 73, 93, 94, 84, 83, 81, 87, 72, 72, 73, 70, 80, 
##     85, 95, 99, 132, 117, 129, 128, 134, 136, 134, 124, 116, 
##     126, 107, 118, 116, 104, 110, 99, 105, 95, 106, 91, 98, 94, 
##     90, 92, 97, 97, 103, 110, 99, 120, 102, 92, 87, 99, 120, 
##     111, 104, 104, 93, 97, 83, 98, 92, 83, 86, 97, 81, 98, 104, 
##     105, 113, 102, 110, 132, 130, 114, 113, 110, 106, 116, 108, 
##     99, 104, 114, 111, 116, 107, 105, 115, 111, 107, 105, 101, 
##     106, 106, 110, 107, 105, 110, 129, 123, 103, 103, 104, 93, 
##     96, 89, 99, 96, 111, 92, 95, 94, 92, 100, 89, 94, 94, 100, 
##     104, 90, 99, 62, 51, 56, 57, 53, 59, 59, 48, 48, 35, 42, 
##     92, 81, 90, 75, 84, 65, 60, 66, 67, 56, 62, 58, 56, 35, 37, 
##     38, 36, 32, 34, 36, 52, 41, 49, 40, 60, 59, 64, 56, 52, 72, 
##     82, 79, 82, 73, 72, 69, 68, 63, 19, 18, 26, 47, 36, 38, 46, 
##     18, 27, 12, 10, 7, 9, 45, 39, 40, 45, 46, 37, 33, 29, 24, 
##     24, 25, 47, 52, 61, 65, 59, 58, 63, 74, 64, 66, 59, 51, 43, 
##     28, 34, 26, 24, 32, 24, 25, 39, 47, 53, 63, 65, 57, 62, 55, 
##     67, 53, 50, 69, 40, 40, 40, 47, 36, 40, 32, 46, 57, 49, 54, 
##     58, 65, 66, 65, 62, 76, 67, 56, 59, 76, 65, 65, 62, 56, 59, 
##     44, 41, 53, 57, 41, 31, 43, 40, 24, 22, 31, 20, 23, 46, 40, 
##     45, 52, 47, 43, 55, 57, 58, 62, 46, 49, 49, 53, 46, 50, 47, 
##     63, 52, 59, 63, 61, 47, 60, 51, 41, 52, 49, 56, 56, 57, 53, 
##     56, 56, 53, 59, 62, 72, 64, 65, 56, 55, 55, 62, 83, 74, 55, 
##     58, 53, 55, 57, 56, 54, 59, 74, 49, 55, 53, 49, 41, 53, 46, 
##     49, 51, 68, 61, 48, 39, 53, 54, 55, 47, 53, 47, 49, 78, 74, 
##     69, 62, 64, 68, 81, 62, 65, 64, 67, 61, 78, 8, 22, 6, 10, 
##     9, 25, 15, 21, 19, 20, 27, 19, 13, 12, 22, 27, 29, 28, 52, 
##     61, 59, 50, 38, 17, 1, -5, -10, -9, -5, 23, 56, 44, 47, 37, 
##     31, 39, 33, 27, 51, 53, 49, 60, 52, 54, 45, 59, 58, 57, 68, 
##     67, 75, 77, 74, 77, 79, 32, 24, 21, 30, 30, 24, 34, 29, 25, 
##     39, 34, -2, -2, -2, -2, -2, -2, -2, -2, -2, -8, 0, -5, -16, 
##     -15, -17, -24, -24, -26, -27, -24, -11, -6, -24, -13, -21, 
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##     -39, -39, -39, -35, -37, -26, -27, -27, -36, -25, -25, -49, 
##     -57, -57, -58, -55, -45, -59, -54, -55, -43, -47, -40, -31, 
##     -33, -33, -33, -33, -33, -31, -31, -30, -30, -33, -33, -33, 
##     -33, -40, -40, -40, -40, -40, -40, -35, -31, -47, -50, -50, 
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##     -28, -37, -30, -34, -34, -29, -34, -34, -34, -29, -36, -31, 
##     -29, -19, -36, -35, -27, -31, -40, -34, -40, -40, -33, -33, 
##     -33, -40, -43, -38, -38, -68, -91, -77, -87, -86, -81, -78, 
##     -63, -61, -55, -62, -63, -50, -29, -29, -29, -29, -29, -29, 
##     -48, -48, -48, -48, -48, -48, -48, -44, -52, -47, -53, -53, 
##     -53, -48, -40, -44, -51, -49, -49, -49, -49, -49, -29, -47, 
##     -47, -50, -53, -38, -49, -55, -56, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -34, -37, -37, -46, -47, 
##     -49, -51, -45, -35, -47, -50, -51, -44, -44, -44, -43, -50, 
##     -46, -40, -39, -37, -36, -42, -24, -29, -9, -12, -12, -19, 
##     -16, -16, -15, -7, -12, -8, -12, -16, -22, -15, -15, -15, 
##     88, 92, 92, 99, 104, 103, 107, 100, 104, 112, 111, 104, 112, 
##     108, 114, 117, 113, 109, 111, 111, 115, 119, 117, 114, 116, 
##     96, 82, 87, 88, 107, 89, 96, 85, 91, 104, 120, 124, 118, 
##     120, 112, 126, 115, 110, 115, 99, 96, 88, 91, 82, 87, 82, 
##     97, 423, 419, 424, 431, 428, 409, 385, 360, 344, 282, 246, 
##     207, 139, 150, 156, 167, 200, 209, 225, 245, 280, 287, 318, 
##     352, 354, 368, 402, 415, 308, 302, 302, 302, 302, 302, 302, 
##     297, 297, 297, 297, 297, 297, 246, 220, 197, 191, 177, 159, 
##     248, 248, 248, 248, 248, 360, 359, 362, 341, 341, 340, 340, 
##     340, 337, 308, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, 248, -75, -80, -63, -73, -75, -62, -65, 
##     -84, -94, -111, -141, -145, -140, -133, -108, -151, -153, 
##     -159, -106, -95, -95, -99, -94, -82, -94, -88, -68, -72, 
##     -69, -74, -74, -71, -102, -114, -130, -58, -43, -46, -45, 
##     -44, -31, -44, -24, -35, -32, -20, -37, -31, -22, -34, -12, 
##     -19, -20, -9, -19, -18, -20, -13, -15, -6, -14, -15, -4, 
##     9, -5, 0, -10, -32, -37, -35, -39, -37, -31, -31, -35, -25, 
##     -7, -13, -12, -14, -20, -16, 285, 292, 284, 280, 276, 280, 
##     286, 274, 279, 286, 296, 286, 277, 295, 284, 288, 276, 278, 
##     275, 281, 272, 291, 288, 298, 298, 111, 0, 13, 13, 43, 47, 
##     82, 118, 158, 160, 163, 148, 146, 147, 139, 136, 139, 124, 
##     117, 122, 120, 111, 108, 139, 134, 133, 138, 120, 106, 121, 
##     78, 82, 71, 80, 71, 68, 49, 38, 31, 30, 37, 37, 59, 63, 85, 
##     97, 99, 112, 152, 156, 164, 160, 143, 124, 124, 116, 93, 
##     98, 108, 121, 122, 117, 117, 109, 90, 75, 76, 95, 87, 84, 
##     80, 98, 95, 90, 99, 93, 98, 93, 85, 78, 93, 85, 96, 102, 
##     99, 80, 78, 86, 103, 111, 123, 146, 140, 145, 157, 160, 176, 
##     129, 115, 120, 107, 102, 16, 4, 10, 3, -2, -10, -14, -7, 
##     3, 5, 13, 21, 25, 35, 30, 57, 33, 53, 57, 66, 78, 79, 70, 
##     57, 54, -2, -30, -46, -41, -54, -47, -49, -43, -23, -22, 
##     -20, -6, 4, 15, 14, 15, 12, 18, 25, 15, 24, 21, 38, 56, 39, 
##     39, 47, 47, 63, 57, 52, 92, 75, 76, 55, 55, 13, 10, 6, -10, 
##     -24, -45, -91, -95, -66, -73, -61, -60, -36, -45, -21, -3, 
##     40, 38, 39, 48, 48, 58, 57, 90, 105, 95, 102, 89, 94, 100, 
##     77, 71, 55, 50, 48, 41, 44, 41, 105, 109, 90, 58, 65, -34, 
##     -117, -92, -46, -27, -19, 10, 27, 24, 32, 40, 54, 49, 55, 
##     68, 64, 66, 68, 80, 68, 80, 72, 69, 13, -25, -40, -75, -77, 
##     -75, -76, -76, -68, -68, -63, -63, -63, -55, -58, -51, -40, 
##     -46, 110, 62, 52, 34, 1, -10, 0, -19, -9, -26, -23, -29, 
##     -28, -28, -15, 1, 19, 31, 64, 68, 72, 90, 99, 98, 119, 107, 
##     67, 17, -1, -20, -24, -42, -40, -4, 16, 60, 89, 90, 129, 
##     150, 170, 184, 184, 188, 181, 188, 105, 117, 106, 84, 76, 
##     47, 21, 8, -6, -1, 7, -19, -19, -39, -47, -49, -39, -46, 
##     -35, -32, 6, 27, 40, 39, 46, 57, 74, 104, 105, 106, 98, 104, 
##     116, 115, 112, 111, 104, 99, 83, 74, 65, 58, 54, 38, 32, 
##     -6, -7, -13, -4, -13, -11, -6, -7, 4, 1, -6, 0, 11, -6, 0, 
##     13, 4, 10, -6, -1, 6, 11, 1, 18, -3, 7, 4, -55, -63, -96, 
##     -103, -135, -149, -162, -166, -169, -185, -175, -183, -168, 
##     -164, -146, -165, -137, -159, -78, -76, -72, -65, -80, -118, 
##     -121, -121, -126, -121, -139, -133, -74, -82, -76, -62, -64, 
##     -56, -63, -51, -53, -55, -56, -52, -37, -62, -59, -66, -63, 
##     -77, -103, -114, -114, -112, -100, -61, -64, -59, -68, -51, 
##     -59, -65, -62, -73, -70, -65, -72, -65, -54, -64, -51, -61, 
##     -53, -66, -59, -72, -78, -90, -140, -141, -141, -120, -119, 
##     -91, -89, -77, -78, -71, -70, -61, -76, -85, -62, -65, -57, 
##     -62, -55, -45, -44, -34, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -26, 
##     -42, -42, -42, -42, -30, -40, -40, -42, -43, -43, -49, -51, 
##     -39, -42, -33, -31, -28, -33, -26, -31, -41, -24, -34, -37, 
##     -41, -48, -39, -42, -40, -41, -36, -38, -19, -13, -7, -5, 
##     -6, 5, 7, 5, 0, -3, 6, -4, -12, -12, -17, -27, -33, -34, 
##     -35, -40, -41, -35, -39, -34, -36, -25, -37, -40, -30, -5, 
##     -23, -15, -8, -20, -10, 19, 19, 21, 38, 45, 44, 51, 47, 48, 
##     52, 35, 38, 36, 26, 16, 34, 12, 15, 16, 8, 3, -1, -30, -44, 
##     -64, -53, -45, -59, -59, -45, -42, -21, -3, 0, 11, 2, 10, 
##     1, 1, -7, -11, -13, -4, -6, -7, 3, -7, 9, 9, 16, 13, -45, 
##     -48, -40, -39, -45, -55, -48, -41, -46, -35, -41, -49, -44, 
##     -45, -50, -29, -23, -7, -4, -7, 4, 0, -7, 0, -10, -30, -23, 
##     -33, -39, -26, -33, -38, -52, -57, -72, -75, -69, -78, -63, 
##     -64, -61, -61, -70, -49, -53, -37, -43, -26, -25, -23, -24, 
##     -13, -21, -4, -12, 0, 22, 5, 8, -5, -9, -12, -13, -10, -8, 
##     5, -6, -7, 0, -8, -2, -7, -27, -23, -17, -24, -35, -25, -32, 
##     -31, -31, -24, -31, -26, -33, -36, -23, -10, -16, -15, -1, 
##     -16, -15, -18, -18, -23, -17, -21, -10, -14, -10, -16, 2, 
##     -12, -30, -32, -18, -23, -37, -40, -38, -34, -37, -29, -28, 
##     -27, -23, -37, -27, -28, -24, -24, -11, -26, -22, -28, -26, 
##     -23, -32, -23, -18, -23, -25, -31, -30, -42, -44, -42, -46, 
##     -52, -60, -49, -50, -47, -49, -41, -29, -33, -43, -39, -7, 
##     -20, -12, -11, -26, -26, -29, -16, -16, -9, 6, 9, -4, 10, 
##     10, 13, 14, 11, 8, 7, 8, 5, 19, 14, 9, 2, 23, 32, 18, 24, 
##     20, 37, 28, 32, 10, 15, 21, -5, 15, -9, -7, -13, -13, -39, 
##     -20, -13, -16, 15, 9, 31, 39, 38, 44, 49, 48, 50, 62, 60, 
##     46, 54, 47, 45, 24, 19, 21, 16, 16, 19, 7, 10, 26, 37, 54, 
##     50, 44, 57, 36, 39, 30, 32, 39, 31, 29, 21, 311, 307, 307, 
##     300, 310, 289, 261, 246, 232, 235, 237, 240, 266, 306, 323, 
##     341, 372, 405, 415, 402, 387, 374, 382, 373, 353, 339, 350, 
##     336, 319, 294, 301, 334, 348, 337, 349, 374, 393, 390, 392, 
##     389, 396, 368, 357, 355, 342, 304, 295, 299, 308, 373, 328, 
##     316, 324, 309, 336, 389, 382, 383, 389, 383, 398, 384, 395, 
##     379, 388, 376, 375, 369, 362, 361, 366, 355, 351, 353, 340, 
##     330, 312, 310, 332, 334, 355, 381, 376, 383, 379, 383, 383, 
##     394, 383, 400, 395, 358, 366, 370, 341, 342, 346, 336, 336, 
##     332, 332, 325, 358, 366, 373, 374, 380, 388, 371, 377, 378, 
##     380, 377, 372, 370, 382, 375, 363, 356, 363, 357, 339, 341, 
##     352, 335, 338, 345, 364, 355, 363, 390, 380, 372, 359, 357, 
##     369, 375, 373, 389, 380, 376, 378, 376, 373, 379, 369, 376, 
##     373, 353, 352, 344, 336, 326, 342, 356, 353, 359, 363, 377, 
##     373, 369, 356, 362, 377, 373, 373, 378, 380, 375, 373, 363, 
##     368, 364, 368, 381, 375, 378, 369, 377, 386, 368, 370, 366, 
##     351, 359, 351, 344, 350, 344, 353, 349, 362, 371, 388, 377, 
##     402, 406, 388, 377, 382, 376, 380, 383, 380, 389, 393, 403, 
##     392, 380, 391, 378, 383, 368, 385, 371, 380, 380, 366, 366, 
##     359, 359, 353, 337, 327, 327, 327, 303, 303, 303, 303, 303, 
##     303, 283, 282, 274, 277, 277, 265, 265, 274, 264, 283, 283, 
##     281, 277, 279, 281, 273, 278, 275, 281, 280, 275, 286, 286, 
##     286, 96, 95, 100, 93, 99, 92, 98, 95, 74, 86, 103, 98, 105, 
##     111, 111, 89, 89, 80, 87, 65, 85, 66, 64, 55, 59, 49, 59, 
##     44, 58, 45, 45, 48, 56, 69, 58, 54, 67, 57, 55, 62, 67, 75, 
##     65, 78, 57, 63, 62, 73, 76, 71, 73, 78, 65, 67, 61, 82, 71, 
##     72, 72, 72, 87, 80, 79, 82, 90, 96, 90, 89, 82, 88, 104, 
##     99, 94, 103, 89, 90, 84, 72, 77, 89, 87, 80, 85, 89, 106, 
##     114, 98, 154, 176, 171, 172, 168, 181, 170, 180, 175, 194, 
##     183, 177, 119, 104, 36, 40, 5, -5, -15, 18, 15, 52, 84, 86, 
##     112, 164, 163, 183, 168, 166, 73, 70, 55, 58, 58, 41, 48, 
##     42, 53, 56, 73, 75, 96, 77, 97, 106, 119, 116, 106, 116, 
##     87, 65, 72, 52, 31, 28, 14, 17, 11, 24, 10, 8, 15, 12, 12, 
##     23, 21, 55, 59, 63, 65, 81, 101, 117, 128, 125, 94, 85, 78, 
##     78, 73, 69, 85, 67, 63, 77, 83, 84, 79, 76, 100, 117, 126, 
##     128, 91, 139, 162, 150, 149, 153, 168, 151, 161, 153, 131, 
##     128, 117, 101, 100, 73, 80, 71, 83, 81, 92, 94, 107, 134, 
##     118, 135, 140, 148, 102, 113, 111, 149, 168, 163, 170, 143, 
##     123, 87, 54, 137, 159, 138, 140, 109, 100, 73, 66, 42, 36, 
##     39, 33, 25, 30, 22, 59, 52, 64, 121, 142, 164, 171, 172, 
##     169, 118, 114, 104, 72, 79, 68, 60, 62, 63, 62, 53, 63, 62, 
##     69, 76, 57, 66, 57, 53, 58, 65, 46, 58, 48, 51, 49, 49, 63, 
##     76, 63, 60, 70, 78, 83, 65, 64, 64, 71, 62, 60, 60, 78, 66, 
##     63, 80, 71, 65, 60, 67, 66, 61, 55, 63, 53, 51, 52, 56, 55, 
##     44, 39, 46, 37, 47, 38, 45, 49, 54, 42, 68, 56, 54, 63, 47, 
##     64, 52, 47, 42, 42, 41, 47, 48, 46, 42, 40, 40, 45, 37, 44, 
##     40, 37, 29, 21, 31, 40, 45, 50, 53, 52, 57, 56, 54, 49, 49, 
##     50, 54, 50, 54, 53, 61, 52, 45, 40, 47, 51, 52, 48, 56, 44, 
##     41, 34, 31, 36, 33, 30, 32, 29, 33, 22, 13, 17, 18, 23, 32, 
##     27, 33, 33, 43, 40, 47, 57, 59, 70, 77, 61, 66, 7, 4, -29, 
##     -26, -16, -5, 8, -9, -7, -5, -8, -16, -7, -3, 1, 7, 0, -1, 
##     -2, -2, -10, -12, -14, -24, -13, -7, 11, 18, 33, 20, 17, 
##     7, 9, 16, 1, 5, 3, 6, 10, 23, 29, 32, 32, 41, 57, 82, 104, 
##     114, 125, 120, 143, 126, 123, 116, 114, 111, 97, 77, 83, 
##     79, 77, 83, 71, 69, 60, 17, 12, 8, -1, 6, 15, 12, 22, 38, 
##     60, 69, 79, 88, 124, 135, 152, 144, 163, 137, 136, 129, 108, 
##     110, 108, 124, 111, 96, 109, 113, 119, 140, 142, 163, 166, 
##     165, 126, 112, 102, 94, 87, 79, 75, 85, 90, 95, 88, 69, 67, 
##     62, 72, 62, 59, 78, 108, 124, 148, 138, 146, 158, 72, 55, 
##     48, 110, 140, 148, 163, 162, 159, 169, 150, 141, 128, 132, 
##     96, 88, 113, 98, 94, 102, 122, 123, 136, 146, 143, 135, 129, 
##     112, 114, 97, -9, -2, 7, 1, 0, 34, 40, 36, 39, 26, 25, 12, 
##     6, -78, -22, 9, 19, -49, -43, -42, -8, -16, -9, 15, 13, 22, 
##     18, 31, 18, -57, -9, -23, -25, -8, -17, -20, 1, -18, -8, 
##     -16, -39, -41, -57, -65, -75, -76, -82, -99, -105, -106, 
##     -114, -86, -84, -97, -75, -28, -23, -21, -29, -27, -28, -25, 
##     -23, -20, -10, -16, -18, -10, -17, -15, -2, -18, -36, -62, 
##     -85, -86, -92, -96, -91, -72, -54, -31, -27, -38, -54, -68, 
##     -21, -34, -20, -114, -106, -82, -74, -61, -51, -58, -68, 
##     -73, -82, -78, -41, -52, -51, -102, -113, -118, -111, -100, 
##     -90, -73, -68, -28, -11, 1, -10, -30, -44, -58, -61, -64, 
##     -42, -48, -48, -32, -19, -44, -40, -43, -34, -36, -36, -35, 
##     -34, -56, -75, -41, -25, -43, -36, -44, -64, -87, -87, -110, 
##     -105, -107, -88, -64, -46, -33, -31, -42, -33, -54, -60, 
##     -64, -55, -59, -58, -59, -66, -62, 93, 85, 74, 62, 69, 61, 
##     55, 64, 79, 73, 84, 91, 90, 106, 105, 121, 114, 113, 102, 
##     118, 104, 104, 96, 98, 100, 115, 101, 98, 108, -38, -25, 
##     -33, -18, -23, -19, -13, -17, -18, -7, -15, -10, -25, -20, 
##     -19, -17, -13, 40, 42, 35, 39, 37, 30, 34, 45, 46, 68, 63, 
##     82, 118, 107, 132, 138, 143, 151, 152, 154, 162, 153, 159, 
##     140, 102, 98, 96, 104, 111, 95, 97, 137, 122, 107, 100, 91, 
##     90, 101, 88, 81, 84, 80, 88, 91, 99, 86, 87, 95, 90, 96, 
##     62, 63, 64, 70, 62, 75, 73, 67, 66, 62, 73, 68, 72, 69, 279, 
##     283, 278, 280, 283, 285, 285, 285, 285, 285, 285, 285, 294, 
##     294, 371, 376, 375, 376, 362, 360, 350, 352, 349, 345, 353, 
##     346, 347, 340, 358, 345, 351, 336, 335, 373, 383, 382, 403, 
##     392, 396, 401, 393, 398, 369, -83, -82, -113, -110, -107, 
##     -92, -47, -63, -64, -71, -73, -77, -61, -63, -59, -46, -45, 
##     -46, -32, -39, -61, -63, -65, -49, -58, -54, -38, -42, -52, 
##     -56, -52, -76, -88, -12, -18, -10, -8, -1, -14, -19, -15, 
##     -16, -62, -70, -111, -113, -119, -148, -137, -74, -68, -87, 
##     -92, -93, -70, -10, -14, -40, -51, -39, -41, -30, -31, -25, 
##     -40, -36, -40, -46, -54, -56, -70, -72, -87, -75, -28, -31, 
##     -17, -8, 8, 0, 15, 49, 75, 91, 94, 85, 107, 187, 181, 183, 
##     168, 144, 127, 92, 84, 41, 8, -16, -26, -36, -32, -27, -3, 
##     14, 37, 76, 74, 89, 105, 122, 135, 140, 147, 148, 146, 141, 
##     24, 14, 6, -12, 4, -16, -21, -32, -33, -37, -30, -16, -12, 
##     -4, -10, 5, 9, -1, 7, 38, 44, 49, 134, 123, 135, 163, 146, 
##     166, 185, 36, 44, 29, 42, 24, 1, 8, 0, 7, 0, 2), roll_forearm = c(28.3, 
##     28.1, 27.9, 27.7, 27.6, 27.5, 27.2, 27.1, 27, 26.9, 26.9, 
##     26.9, 26.9, 27.1, 27, 27, 26.8, 26.7, 26.7, 26.7, 26.6, 26.4, 
##     26.4, 26.4, 26.4, 26.3, 26, 26, 25.8, 25.4, 24.9, 24.9, 25, 
##     24.9, 24.9, 24.9, 25, 25, 25, 24.8, 24.8, 24.8, 24.8, 24.6, 
##     23.4, 23.4, 23.4, 23.4, 23.4, 23.5, 23.5, 23.7, 23.7, 23.6, 
##     23.6, 23.6, 23.6, 23.6, 23.6, 23.6, 23.6, 23.5, 23.2, 23.1, 
##     22.8, 22.8, 22.7, 22.7, 22.5, 22.4, 22.1, 22.3, 22.3, 22.3, 
##     22.1, 22.1, 21.9, 21.9, 21.5, 21.4, 21.4, 21.1, 21, 21, 20.8, 
##     20.7, 20.6, 20.6, 20.4, 20.3, 20.2, 19.9, 19.9, 19.8, 19.5, 
##     19.5, 19.5, 19.4, 19.2, 19, 19, 83.5, 83.5, 83.4, 83, 83.1, 
##     83.1, 82.9, 82.8, 82.8, 82.8, 82.6, 82.5, 82.5, 82.6, 82.2, 
##     82.1, 81.9, 81.9, 81.9, 82, 82.1, 82.2, 82.2, 82.1, 82, 82, 
##     81.9, 81.6, 81.6, 81.6, 81.6, 81.7, 81.6, 81.3, 80.9, 80.5, 
##     80.9, 81, 80.7, 80.1, 80.1, 80, 78, 78.1, 78.4, 78.7, 78.9, 
##     79.7, 80.6, 82.2, 82.2, 83.1, 83.4, 82.8, 82.5, 81.9, 81.6, 
##     80.4, 77.6, 77.5, 77.7, 77.7, 77.8, 78.5, 78.1, 77.4, 77.3, 
##     77.4, 78.9, 79.4, 80.2, 80.6, 81, 82, 82.5, 82.6, 83, 83.2, 
##     86, 87, 86.7, 85.7, 86.5, 85.9, 85.7, 86, 87.2, 87.7, 89, 
##     89.2, 89.3, 89.2, 89.2, 89.4, 89.3, 89.3, 89.7, 89.3, 90.2, 
##     90.7, 90.5, 90.4, 90.5, 90.5, 90.5, 90.3, 90.4, 90.7, 91.2, 
##     91.4, 91.2, 90.1, 89.9, 89.9, 89.9, 89.9, 89.9, 90, 90.1, 
##     90.3, 90.2, 90.2, 90.3, 90.3, 90.4, 90.4, 90.4, 90.3, 89.9, 
##     120, 146, -123, -113, -112, -111, -112, -113, -114, -115, 
##     -115, 103, 91.2, 87.8, 87.7, 87.8, 89.5, 87.3, 87.4, 90.2, 
##     90.9, 91.4, 92.7, 93.1, 94.4, 94.6, 95.3, 95.5, 96.1, 97.1, 
##     99.5, 102, 107, 109, 159, 179, -149, -128, -125, -124, -120, 
##     -119, -121, -123, -125, -130, 94.4, 94, 93, 92, 91.4, 89.5, 
##     89.7, 90.8, 91.2, 92.1, 93.4, 93.6, 94.7, 94.8, 95.4, 95.6, 
##     95.7, 95.9, 96.9, 99.2, 104, 119, 147, 163, 90.7, 90.2, 90.4, 
##     90.9, 91.1, 91.3, 91.7, 91.9, 91.7, 91.6, 94.6, 94.9, 95.2, 
##     95.5, 96.5, 96.9, 96.5, 95.3, 99.2, 101, 105, 106, 119, -179, 
##     -137, -124, -122, -120, -120, -120, -121, -124, -128, -130, 
##     -132, -135, -139, 126, 118, 96.6, 95.3, 95, 95.2, 95.3, 95.4, 
##     95.6, 95.6, 95.9, 97.1, 99.8, 99.2, 98.8, 98.7, 99.2, 99.5, 
##     100, 101, 106, 116, 161, -168, -133, -132, -131, -128, -129, 
##     102, 103, 103, 106, 106, 107, 108, 122, 138, 151, 160, 176, 
##     -177, -170, -152, -148, -139, -135, -134, 108, 108, 109, 
##     110, 112, 112, 120, -142, -179, 171, 164, 145, 140, -177, 
##     -161, -157, -144, -139, -152, -160, -165, -171, 165, 146, 
##     134, 122, 123, 117, 116, 115, 116, 113, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9.28, -4.28, -0.04, 
##     10.6, 14.4, 17, 17.5, 15.7, 14.8, 12.8, 9.46, 0, -2.61, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, -179, 176, 175, 174, 174, 173, 173, 173, 172, 
##     172, 170, 170, 170, 169, 169, 168, 168, 167, 167, 167, 166, 
##     164, 163, 162, 162, 161, 161, 161, 160, 159, 159, 158, 158, 
##     158, 158, 157, 156, 149, 148, 148, 148, 148, 148, 147, 147, 
##     146, 146, 146, 145, 145, 142, 141, 140, 140, 140, 140, 140, 
##     141, 141, 140, 139, 139, 139, 138, 138, 138, 138, 138, 138, 
##     140, 141, 148, 159, -151, -126, -125, -123, -123, -121, -122, 
##     -123, -124, -124, -124, -124, -126, -126, -127, -128, -128, 
##     -130, -135, -136, -139, -143, -159, -175, -179, 167, 165, 
##     163, 157, 156, 154, 153, 152, 148, 141, 139, 139, 140, 140, 
##     140, 141, 142, 142, 147, 152, 162, -175, -165, -149, -141, 
##     -138, -137, -136, -135, -133, -134, -134, -134, -135, -136, 
##     -134, 145, 143, 144, 144, 145, 146, 146, 147, 148, 148, 149, 
##     153, 154, 171, 174, -172, -151, -148, -147, -147, -146, -146, 
##     -146, -146, -145, -146, -145, -145, -145, -145, -155, -164, 
##     -167, -173, -175, 149, 150, 150, 151, 152, 153, 154, 155, 
##     163, 165, 173, -171, -166, -163, -161, -155, -155, -153, 
##     -153, -153, -152, -152, -154, -158, -179, 175, 168, 167, 
##     166, 164, 161, 160, -173, -175, 173, 168, 168, 166, 163, 
##     160, 159, 157, 156, 157, 158, 158, 158, 158, 160, 161, 166, 
##     170, 178, -178, -171, -168, -165, -164, -164, -164, -164, 
##     -164, -165, -165, -170, 178, 175, 168, 166, 164, 163, 163, 
##     162, 162, 162, 162, 163, 164, 164, 165, 166, 165, 165, 165, 
##     165, 165, 165, 165, 165, 165, 164, 163, 163, 164, 166, 166, 
##     167, 169, 176, 177, -174, -173, -170, -169, -168, -168, -169, 
##     -169, -170, -170, -176, -178, -179, 180, 168, 169, 169, 168, 
##     165, 166, 171, 172, 173, 174, 178, 179, -180, -179, -178, 
##     -176, -175, -172, -171, -172, -173, -179, 176, 169, 169, 
##     173, 172, 172, 172, 172, 172, 172, 172, 171, 171, 171, 172, 
##     173, 174, 175, 176, 177, 178, -179, -179, -177, -177, -175, 
##     -174, -173, -172, -171, -171, -172, -176, -178, -179, 178, 
##     178, 180, -180, -178, -177, -177, -177, -177, -177, -176, 
##     -174, -174, -173, -172, -173, -178, -179, -179, -178, -178, 
##     -178, -178, -180, 178, 177, 176, 174, 174, 174, 174, 174, 
##     173, 47.7, 48.2, 44.2, 44.4, 45.8, 47.2, 45.5, 45, 44.5, 
##     44.4, 46.1, 46.8, 47.7, 48, 47.4, 47.8, 48.2, 49, 48.8, 48.6, 
##     48.7, 49.8, 49.7, 49.7, 49.7, 49.7, 49.9, 50, 50, 49.8, 49.6, 
##     49.7, 49.6, 49.6, 49.6, 49.7, 49.7, 49.7, 49.7, 49.3, 49.3, 
##     49.2, 49.2, 49.1, 48.9, 49.2, 49.2, 49.2, 49.4, 49.3, 49.1, 
##     49.3, 49.4, 49.5, 49.5, 49.5, 49.8, 50.1, 50, 49.7, 49.7, 
##     49.7, 49.7, 49.6, 49.5, 49.5, 49.7, 49.6, 49.6, 49.6, 49.6, 
##     49.5, 49.4, 49.4, 49.3, 49.2, 49.2, 49.1, 49.1, 48.9, 48.7, 
##     48.8, 48.8, 48.8, 48.9, 48.9, 49, 49.2, 49.4, 49.5, 49.5, 
##     49.6, 49.7, 49.6, 49.6, 49.7, 49.7, 49.6, 49.7, 49.7, 49.8, 
##     49.8, 49.9, 49.7, 49.3, 49.2, 49.3, 49.3, 49.2, 49, 48.9, 
##     48.7, 48.6, 48.6, 48.6, 48.5, 48.8, 48.8, 48.8, 48.9, 49, 
##     49.4, 49.6, 49.6, 50, 50.1, 50.2, 50.2, 50.2, 50.2, 50.1, 
##     51.2, 51.5, 51, 50.5, 50.6, 51.2, 51, 51, 50.8, 51.5, 51, 
##     50.9, 51.3, 51, 50.9, 50.8, 50.8, 50.8, 51.4, 51.5, 53, 53.3, 
##     54, 53.5, 52.2, 51.9, 52.4, 52.3, 52.3, 52.4, 52.9, 52.9, 
##     52.9, 52.5, 52.7, 52.9, 53, 53.2, 53.2, 53.3, 53.8, 53.6, 
##     53.5, 53.5, 53.6, 53.8, 53.6, 53.6, 53.2, 53.3, 53.5, 53.6, 
##     54, 54.3, 54.9, 55.1, 55.6, 55.6, 55.6, 55.6, 55.7, 55.9, 
##     55.9, 56.2, 56.3, 56.4, 56.5, 57.4, 57.1, 57.2, 57.2, 56.7, 
##     56.5, 56.4, 56.1, 55.6, 55.6, 55, 54.9, 54.9, 54.8, 19, 19, 
##     18.9, 18.8, 18.8, 18.6, 18.5, 18.5, 18.4, 18.4, 18.3, 18.1, 
##     18.1, 17.4, 17.1, 16.8, 16.9, 16.7, 16.6, 16.3, 16.2, 16.1, 
##     16.1, 16.1, 16, 16, 15.8, 15.8, 15.7, 15.7, 15.5, 15.5, 15.4, 
##     15.3, 15.3, 15.2, 15.2, 14.8, 14.7, 14.5, 14.4, 14.4, 14.2, 
##     14.3, 14.4, 14.7, 14.5, 14.4, 14.4, 14, 14, 14.1, 14.1, 14, 
##     13.8, 13.8, 13.8, 13.8, 13.9, 13.7, 13.7, 13.6, 13.2, 13.2, 
##     13.1, 13.3, 13.3, 13.4, 13.3, 12.7, 12.5, 12.4, 12.5, 12.5, 
##     12.5, 12.5, 12.4, 12.2, 13.2, 13.4, 13.5, 13, 13, 13.2, 13.8, 
##     13.7, 13.8, 13.5, 13.4, 13.3, 13.2, 13.1, 13, 13, 13, 13.4, 
##     13.4, 13.3, 13.7, 13.8, 14.2, 14.1, 14.2, 14.3, 14.3, 14.1, 
##     14, 13.5, 13.5, 13.5, 13, 13, 13, 13.2, 13.4, 13.8, 14.1, 
##     14.6, 15.1, 15.4, 23, 30.2, 40.3, 41.9, 44.6, 46, 47.2, 48.2, 
##     52.2, 54.8, 55.8, 56.6, 57.2, 59.3, 59.6, 58.5, 58, 51.6, 
##     48.2, 33.9, 26.1, 23.8, 15, -1.03, -4.32, -6.2, -4.01, -2.04, 
##     0.02, 5.81, 6.71, 11.7, 13.2, 14.7, 17.9, 28.3, 32, 33, 40.9, 
##     42.7, 47, 46.6, 44.9, 40.3, 39.5, 34.8, 32.4, 30.3, 25.3, 
##     24.4, 23.5, 22.4, 23.4, 25.3, 31.1, 33, 34.5, 44.4, 45.2, 
##     46.3, 46.7, 48.1, 44.3, 41.2, 40, 36.7, 0.84, -6.08, -6.41, 
##     -5.36, 5.8, 7.61, 9.2, 11.8, 14.5, 19.2, 22.5, 25.3, 34.9, 
##     38.9, 41.7, 43.3, 47.8, 48.2, 48.2, 45.1, 37.5, 40.6, 41.8, 
##     45.2, 47, 50.5, 45.7, 41.5, 38.2, 27.9, 21.1, -1.86, -4.85, 
##     -7.2, -8.65, -5.52, 4.57, 6.76, 13.1, 15.5, 30.2, 32.4, 41.8, 
##     43.7, 53.9, 58.8, 62.2, 59.9, 59.8, 57.9, 58.9, 59.3, 59.1, 
##     57.3, 56.4, 53.1, 51.5, 47.6, 41.1, 35.3, 32.9, 28.2, 18.4, 
##     14.3, 0.74, -13.8, -20.1, -11, -2.83, 5.66, 34.3, 46.7, 54.8, 
##     60.5, 6.97, -28.7, -23.4, -10.8, 2.55, 11.5, 35.4, 39.5, 
##     51.2, 57.3, 60.1, 65.3, 68.7, 70.4, 72, 75.3, 75.3, 75.3, 
##     73.6, 72.8, 72.4, 72.2, 72.7, 73.5, 73.7, 72.6, 69.6, 66.8, 
##     65.4, 48.7, 43.4, 39.9, 31.4, 20.5, 14.8, 3.02, -33.6, -40.6, 
##     -38.7, -36.4, -27.2, -22.9, -17.9, -6.58, 33.4, 44.9, 53.3, 
##     56.1, 58.2, 68.2, 74.9, 79.4, 83.6, 85.9, 85.4, 85.5, 85.8, 
##     86.2, 86.7, 86.9, 86.9, 82.5, 78.4, 77.3, 72.5, 64.9, 63, 
##     60.9, 54.6, 47, 19.1, 10.2, -58.6, -56.8, -54.7, -50.2, -25.3, 
##     8.87, 19.4, 43.9, 66.2, 71.8, 73.4, 78.5, 80.9, 82.7, 83.4, 
##     84.2, 86.1, 88.3, 89.6, 91.9, 93.5, 94.2, 95, 96.8, 97.3, 
##     97.1, 96.8, 95.2, 94.3, 91.5, 78.7, 66.9, 64.9, 59, -4.55, 
##     -58.2, -63.8, -61.7, -55.1, -52, -48.7, 39.3, 63.3, 54.6, 
##     54.7, 54.5, 54.3, 54.2, 54.1, 54.4, 54.6, 54.5, 54.9, 54.8, 
##     54.7, 54.9, 54.7, 54.5, 54.1, 53.8, 54.1, 54.2, 54.3, 54, 
##     53.8, 53.7, 54, 53.7, 53.5, 53.4, 53.3, 53.4, 54, 53.8, 53.7, 
##     53.5, 53.4, 53.3, 53.4, 53.1, 53.5, 53, 53.2, 53, 53, 53, 
##     53.2, 53.1, 53.1, 53, 53, 52.9, 53, 52.8, 53.1, 53.1, 53.1, 
##     53.1, 53.1, 53.4, 53, 53, 52.9, 52.9, 52.8, 52.8, 52.7, 52.6, 
##     52.6, 52.9, 53, 53.1, 53.2, 53.2, 53.3, 53.1, 52.9, 52.8, 
##     52.9, 52.9, 52.9, 52.8, 52.7, 52.7, 52.7, 52.5, 52.5, 52.4, 
##     52.3, 52.3, 52.3, 52.3, 52.2, 52.3, 51.9, 51.8, 51.8, 51.8, 
##     51.8, 51.8, 51.9, 51.9, 51.9, 51.9, 51.9, 51.9, 52, 52.5, 
##     52.6, 52.4, 52.4, 52.6, 52.8, 52.9, 53.2, 53.2, 52.4, 52.3, 
##     52.2, 52.1, 52.8, 52.9, 53.4, 53.5, 53.1, 53.1, 51.9, 51.7, 
##     50.7, 49.6, 49.9, 50.3, 50.2, 50.3, 50.7, 50.7, 50.7, 51.7, 
##     51.3, 52.2, 52.2, 52.2, 52.2, 52.1, 52.1, 52, 52, 52.4, 52.6, 
##     54, 54.7, 55.4, 56, 55.6, 55, 55.1, 55.4, 55.1, 55.2, 55.5, 
##     55.5, 55.4, 55.4, 55.5, 55.4, 55.4, 55.4, 55.3, 55.3, 55.4, 
##     55.4, 55.4, 55.4, 55.4, 55.4, 55.6, 55.5, 55.7, 55.3, 55.3, 
##     55.3, 55.4, 55.3, 55.3, 55.3, 55.3, 55.2, 55.3, 55.3, 55.3, 
##     55.3, 55.7, 55.8, 56.2, 56.1, 56.4, 56.5, 56, 55.4, 55.3, 
##     55.3, 55.3, 55.3, 55.1, 54.8, 45.9, 34.3, 30, 24.9, 9.37, 
##     -0.53, -56, -59.4, -40.2, -28.5, -15, 16.9, 37.7, 55, 60.4, 
##     65.5, 66.3, 67, 67, 66.9, 64.6, 64.3, 64.2, 63.8, 63.7, 63.9, 
##     65.2, 65.7, 65.7, 65.7, 65.5, 63.5, 62.9, 62.3, 56.2, 51.8, 
##     44.8, 39.5, 18.8, 12.1, 3.46, -16.9, -27.1, -61.4, -59.7, 
##     -44.9, -37.1, 4.26, 26.5, 37.2, 61.9, 70.3, 70.8, 70.6, 70.7, 
##     70.7, 67.9, 69.2, 69.5, 70, 70.1, 69.7, 69.1, 68.9, 69.3, 
##     69.6, 69.5, 67.4, 55, 48.9, -47.5, -75.8, -23.3, 14.4, 46.5, 
##     78.1, 78.6, 79, 78, 75.9, 74.7, 74.4, 74.3, 78.2, 78.9, 79.1, 
##     80.2, 81.3, 76.6, 76, 74.6, 74.1, 74.3, 80.6, -106, -103, 
##     -103, -102, -105, -110, -161, 108, 94.3, 93.3, 92.1, 92.1, 
##     92.6, 92.4, 90.1, 89.5, 93.9, 94.8, 94.3, 90.8, 86.7, 85.7, 
##     85.4, 87.2, 136, -156, -171, 179, 111, 99.8, 99.5, 95.9, 
##     96.2, 96.9, 105, 106, 105, 104, 99.7, 98.7, 96.6, 94.6, 94.7, 
##     95.9, 97.3, 101, 108, 111, 130, 162, 172, 153, 138, 131, 
##     122, 100, 101, 102, 102, 105, 107, 112, 115, 118, 118, 118, 
##     113, 112, 108, 104, 100, 100, 100, 100, 101, 102, 103, 104, 
##     113, 116, 141, 135, 131, 114, 111, 105, 104, 107, 111, 120, 
##     122, 120, 120, 118, 111, 110, 107, 106, 106, 105, 105, 108, 
##     110, 116, 119, 133, 137, 141, 146, 147, 136, 125, 111, 109, 
##     109, 110, 114, 114, 118, 119, 120, 123, 124, 127, 126, 126, 
##     124, 122, 119, 114, 109, 110, 110, 110, 119, 121, 128, 145, 
##     150, 158, 155, 128, 124, 113, 111, 111, 111, 116, 118, 120, 
##     125, 127, 130, 133, 133, 133, 132, 128, 126, 114, 129, 153, 
##     154, 150, 150, 147, 117, 116, 115, 113, 115, -126, -126, 
##     -143, -145, -149, -153, -153, -154, -155, -157, -157, -158, 
##     -160, -160, -164, -167, -168, -169, -172, -173, -173, -174, 
##     -174, -174, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, -0.67, -0.67, -0.68, -0.7, -0.72, 
##     -0.97, -1, -1.06, -0.93, -0.9, -0.9, -0.9, -1.02, -1.13, 
##     -0.67, -0.65, -0.79, -0.78, -0.77, -0.79, -0.77, -0.46, -0.39, 
##     -0.67, -0.12, -0.07, -0.37, -0.19, -0.32, -0.65, -1.67, -3.94, 
##     -2.72, -1.98, -2.12, -2.04, -0.82, 0.01, 1.63, 1.69, 1.63, 
##     1.13, 0.86, 0.46, 0.49, 0.28, -0.44, -0.4, -0.58, -0.58, 
##     -0.64, 0.3, 0.29, 0.28, 0.29, 0.25, 0.22, 0.73, 0.77, 0.76, 
##     0.78, 0.61, 0.35, 0.01, -0.4, -0.81, -1.23, -2.49, -2.83, 
##     -3.28, -3.59, -3.67, -3.89, -1.14, -1.01, -0.94, -0.94, -1.16, 
##     -1.22, -0.37, -0.04, 2.04, 2.01, 1.43, 0.94, -0.24, -3.32, 
##     -3.46, -3.29, -3.07, -2.74, -4.26, -4.55, -4.56, -4.52, -4.45, 
##     -4.4, -4.4, -4.36, -4.36, -4.35, -3.46, -3.33, -3.3, -3.27, 
##     0.77, 7.57, 4.3, 4.09, 3.67, 4, 4.78, 5.81, 6.31, 7.16, 7.21, 
##     6.94, 6.65, 6.8, 7.52, 8.31, 8.77, 8.87, 9.1, 9.87, 10.9, 
##     10.4, 9.97, 9.87, 10, 10.4, 11, 10.6, 10.4, 10.5, 10.5, 10.5, 
##     10.7, 10.7, 10.6, 10.5, 10.5, 10.5, 11, 11.2, 11.3, 11.2, 
##     11.2, 11.4, 11.5, 11.7, 12.3, 12.6, 13.2, 13.3, 13.4, 14.3, 
##     14.7, 14.8, 14.7, 14.6, 14.8, 15.2, 12.2, 13, 13.7, 18.2, 
##     20.6, 22.4, 22.9, 23.2, 23.4, 25.1, 25.6, 26.1, 24.5, 21.9, 
##     21.4, 20.9, 22.3, 11, 11, 10.9, 10.6, 10.6, 10.7, 10.9, 11, 
##     12.1, 14, 15, 14.7, 13.9, 12.3, 10.6, 5.81, 1, -6.52, -9.05, 
##     -20.5, -24.6, -26.2, -35.3, -37.8, -40.1, -42.1, -44.6, -42.4, 
##     -42, -43.5, -42.2, -40.9, -40.4, -39.6, -39, -38.6, -35.8, 
##     -34.2, -24.3, -22.3, -11.4, 0.87, 13.2, 17.2, 17, 8.16, 0.85, 
##     0.08, -0.43, -1.98, -3.2, -26.3, -27.9, -32.6, -35.5, -36.2, 
##     -38.7, -40.9, -43.9, -42.9, -42.3, -42, -41.8, -41.6, -41.3, 
##     -41, -40.2, -39, -38.5, -37.6, -37.1, -34.6, -5.09, -15.8, 
##     -19.7, -20.8, -21.8, -23.7, -24.4, -25, -26.5, -36.9, -37.8, 
##     -37.5, -35.8, -26.1, -25.3, -20.9, -18.7, -13.6, -1.15, 2.34, 
##     4.84, 11, -14.6, -16.8, -17.9, -23.5, -33.6, -35, -40.1, 
##     -41.9, -41.9, -41.4, -34.6, -33.7, -31.8, -30.9, -29.9, -27.3, 
##     -17.6, -7.73, -1.93, -0.54, 8.58, 10.1, 10.8, 20.3, 22.8, 
##     28.4, 27.9, 27.5, 26.4, 22.1, 13.3, 0.61, -3.38, -4.95, -8.24, 
##     -10, -19.4, -22.6, -28.4, -37.7, -38.4, -41.5, -42.3, -42, 
##     -38, -35, -32.5, -27, 1.91, 7.69, 20.1, 22.4, 23, 23.8, 25.6, 
##     26.4, 28.2, 28.2, 28.4, 28.1, 26.9, 25.7, 16.9, 9.58, 6.07, 
##     4.9, 3.96, 0.98, -0.16, -3.05, -7.93, -36.9, -40.4, -48.2, 
##     -46, -45.7, -45.1, -44.3, -40.6, -26.6, -12.4, 0.77, 5.05, 
##     7.12, 9.02, 11.6, 15.4, 16.6, 19.1, 31, 31.6, 32.2, 33.1, 
##     33.9, 34.2, 34.4, 35.2, 38.8, 38.7, 38.4, 38, 37.1, 37, 36.1, 
##     33, 15.9, 14.2, 9.89, 0.6, -2.67, -12.1, -14.9, -22.6, -26.5, 
##     -33.2, -42.7, -43.8, -44.5, -45.3, -48.9, -50.1, -51.1, -51.9, 
##     -52.2, -52.1, -51.8, -51.7, -51.6, -49, -47.9, -43, -39.2, 
##     -31.2, -28.4, -25.1, -19.6, -13.3, -3.55, 7.37, 9.69, 24.2, 
##     29, -23.1, -28, -35, -40.9, -45.7, -46.8, -53.9, -54.6, -55.8, 
##     -56, -56.2, -55.5, -54.7, -50.6, -48.5, -47.4, -44.8, -41.5, 
##     -39.5, -32.7, -27.7, -22.7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     32.4, 32.6, 33.1, 33.5, 33.8, 34.1, 34, 35.4, 36.3, 35.8, 
##     35.8, 35.9, 16.8, 19.2, 20.2, 22.2, 22.2, 22.3, 22.6, 22.5, 
##     20.8, 18.5, 17.2, 15.5, 13.7, 12.4, 7.1, 5, 3.83, -1.19, 
##     -3, -4.84, -6.59, 24.1, 21.2, 18.7, 18.2, 16.5, 15.8, 13, 
##     11.5, 11.6, 11.6, 11.6, 11, 15, 14.8, 14.7, 14.3, 14.2, 15, 
##     14.9, 14.7, 14.5, 13.8, 12.5, 11.9, 11.7, 11.5, -3.27, -3.32, 
##     -5.26, -3.55, -4.26, -4.77, -5.29, -6.17, -6.34, -6.26, -5.93, 
##     -0.74, -0.71, -0.59, -0.53, -0.57, -0.57, -0.58, -0.38, -0.41, 
##     -0.36, -0.28, -0.44, -0.59, 50.9, 51.2, 51.2, 51.1, 51.1, 
##     51.4, 51.3, 51.2, 51.2, 51.1, 51, 50.9, 50.9, 50.9, 50.9, 
##     51, 51, 50.8, 51.4, 51.4, 51.4, 51.4, 51.4, 52.4, 53.1, 52.8, 
##     52.4, 50.7, 50.8, 51, 51.3, 51.7, 52, 52.9, 52.4, 52.5, 179, 
##     176, 171, 170, 166, 169, 167, 179, -177, -174, -172, -165, 
##     -163, -163, -162, -161, -160, -161, -164, -165, 159, 159, 
##     158, 158, 157, 157, 156, 156, 156, 157, 157, 157, 157, 159, 
##     160, 159, 158, 150, 148, 147, 147, 147, 148, 149, 149, 149, 
##     149, 149, 149, 149, 149, -131, -132, -138, -149, -157, -160, 
##     -163, -169, -172, 178, 175, 169, 167, 148, 147, 155, 155, 
##     155, 155, 155, 154, 154, 154, 153, 153, 152, 152, 152, 151, 
##     151, 151, 150, 150, 150, 149, -141, -141, -141, -131, 0.48, 
##     -128, -127, -126, -135, -140, -139, -139, -139, -140, -140, 
##     -142, -131, -132, -132, -133, -133, -133, -133, -133, -132, 
##     -132, -129, -129, -127, -126, -126, -127, -131, -133, -138, 
##     -133, -133, -133, -133, -133, -132, -131, -130, -130, -130, 
##     -131, -131, 121, 118, 116, 114, 113, 110, 112, 112, 113, 
##     115, 116, 125, 137, 140, -136, -148, -166, 171, 146, 132, 
##     128, 120, 118, 110, 108, -146, -151, 121, 113, 104, 103, 
##     102, 101, 101, -154, -128, -119, -118, -118, -122, 103, 99.7, 
##     90, 90, 90, 90.1, 90.1, 89.9, 89.8, 88.1, 88.4, 88.2, 87.4, 
##     88.1, 88.9, 83.4, 83.4, 64.5, 59, 62, 62.1, 61.5, 61.2, 58.2, 
##     57.1, 54.9, 53.6, 51.4, 49, 46.5, 39.1, 32.5, 28.9, 113, 
##     114, 114, 114, 117, 117, 118, 127, 136, 139, 143, 154, 160, 
##     -179, -143, -143, -144, -157, -167, 165, 150, 135, 119, 118, 
##     114, 113, 114, 116, 115, 115, 116, 117, 118, 118, 121, 124, 
##     127, 137, 143, 161, -178, -159, -157, -146, -146, -147, -149, 
##     -150, 121, 121, 121, 120, 119, 119, 118, 118, 118, 117, 117, 
##     117, 117, 117, 117, 117, 117, 117, 117, 118, 118, 118, 118, 
##     118, 119, 120, 121, 125, 134, 175, -177, -173, -169, -158, 
##     -152, -143, -143, -148, -149, 179, 146, 120, 107, 109, 109, 
##     111, 118, 121, 122, 123, 123, 123, 123, 123, 122, 121, 169, 
##     179, -150, -146, -151, -153, -160, -164, 157, 120, 114, 114, 
##     114, 118, 121, 121, 125, 125, 125, 124, 125, 134, 143, 165, 
##     -150, -147, -148, -152, -167, -171, 126, 120, 119, 118, 115, 
##     113, 150, 163, -151, -145, -141, -140, -156, -171, -178, 
##     149, 120, 117, 122, 125, 125, 126, 134, 135, 133, 129, 128, 
##     126, 126, 127, 129, 137, 149, 170, -156, -152, -151, -161, 
##     -166, -170, 160, 124, 119, 119, 125, 128, 133, 138, 138, 
##     138, 138, 137, 137, 131, 131, 135, 138, 167, -159, 161, 131, 
##     139, 145, 162, 172, 177, -180, -176, -165, -161, -167, -172, 
##     -176, -179, 177, 134, 133, 133, 133, 133, 136, 135, 134, 
##     135, 137, 141, 144, 145, 146, 147, 142, 141, 137, 139, 141, 
##     148, 152, 158, 163, 175, -175, -161, -160, -160, -164, -172, 
##     -177, 172, 155, 148, 145, 141, 137, 137, 67.9, 175, 178, 
##     178, 177, 177, 177, -176, -176, -176, -176, -175, -176, -177, 
##     -178, -178, -179, -180, 179, 178, 177, 176, 175, 173, 173, 
##     166, 165, 164, 164, 164, 164, 165, 167, 168, 168, 169, 169, 
##     171, 174, 173, 171, 171, 170, 168, 168, 164, 163, 164, 165, 
##     166, 167, 168, 169, 171, 175, 178, -177, -175, -174, -173, 
##     -173, -174, -174, -175, -175, -174, -174, -174, -176, -177, 
##     180, 178, 177, 172, 170, 169, 168, 169, 170, 170, 171, 172, 
##     173, 173, 174, 174, 174, -176, -176, -175, -174, -174, -173, 
##     -173, -173, -173, -174, -174, -177, 180, 176, 175, 172, 171, 
##     170, 169, 168, 167, 167, 167, 167, 168, 168, 169, 169, 172, 
##     173, 174, 174, 173, 173, 172, 172, 172, 174, -180, -179, 
##     -179, -178, -177, -176, -174, -174, -175, -175, -174, 169, 
##     168, 168, 168, 168, 168, 168, 170, 171, 172, 172, 173, 173, 
##     175, 175, 175, 178, -180, -179, -178, -177, -177, -177, -177, 
##     -177, -178, -178, -178, -177, -175, -175, -176, -176, -176, 
##     -176, -177, 178, 177, 177, 176, 176, 175, 175, 174, 172, 
##     172, 171, 171, 171, 174, 175, 176, 176, 177, 177, 178, 180, 
##     -179, -179, -179, -177, -176, -176, -175, -175, -176, -177, 
##     -179, -180, -180, -179, -179, -178, -178, -179, 179, 173, 
##     172, 172, 172, 173, 174, 175, 177, 178, 178, 179, -180, -179, 
##     -179, -178, -178, -177, -176, -175, -176, -178, -177, 178, 
##     178, 179, 178, 178, 178, 177, 177, 176, 176, 176, 177, 179, 
##     -179, -177, -177, -177, -178, -179, -179, -179, -179, -178, 
##     178, 173, 173, 172, 172, 173, 173, 174, 174, 176, 176, 176, 
##     176, 175, 175, 175, 174, 174, 174, 175, 176, 178, 73.4, 81.8, 
##     86.2, 87.4, 90, 91.4, 93.3, 95.1, 96.8, 98.6, 99.8, 106, 
##     106, 106, 106, 102, 100, 99.6, 98.6, 98.2, 97.6, 96.7, 93.3, 
##     91.1, 91.2, 91.7, 91.9, 87.6, 71.8, 40.1, -72.8, -88.9, -44.1, 
##     88.4, 89.2, 92.6, 97.5, 99.2, 103, 103, 104, 104, 106, 108, 
##     110, 112, 113, 114, 113, 112, 108, 107, 103, 102, 96.3, 123, 
##     153, -96.9, -91.8, -93.1, -95.6, -96.7, -97.4, -97.7, -97.6, 
##     -97.2, 83.9, 84.3, 88.8, 91.7, 96.4, 98.8, 103, 108, 117, 
##     117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 116, 
##     116, 116, 116, 116, 116, 116, 116, 115, 115, 115, 114, 114, 
##     114, 114, 112, -110, -110, -111, -118, -143, -168, 161, 123, 
##     116, 111, 109, 114, 117, 118, 124, 127, 128, 129, 129, 127, 
##     126, 124, 124, 151, 163, -160, -132, -128, -128, -129, -128, 
##     -128, -130, -134, -143, 170, 134, 131, 124, 122, 121, 120, 
##     121, 126, 128, 140, 142, 143, 143, 142, 140, 138, 137, 139, 
##     150, 162, 171, 175, -173, 137, 140, 141, 142, 142, 140, 139, 
##     139, 139, 143, 145, 147, 157, 175, -178, -157, -153, -150, 
##     -149, -150, -150, -149, -152, -154, -155, 142, 149, 153, 
##     161, 165, 173, -179, -154, -151, -149, -151, -153, -165, 
##     175, 157, 149, 140, 134, 134, 139, 141, 141, 142, 144, 143, 
##     158, 164, 177, -167, -160, -154, -152, 142, 142, 142, 140, 
##     139, 138, 142, 144, 153, 156, 163, 172, -171, -166, -156, 
##     134, 133, 133, 133, 135, 138, 138, 139, 137, 136, 136, 139, 
##     140, 161, 169, 176, 179, -153, -151, -148, -148, -148, -149, 
##     -151, -152, -154, 171, 157, 150, 148, 136, 135, 135, 138, 
##     139, 143, 148, 148, 149, 147, 146, 145, 145, 145, 155, 165, 
##     122, 137, 137, 135, 134, 133, 131, 131, 131, 130, 130, 130, 
##     129, 130, 130, 130, 130, 130, 130, 130, 130, 131, 132, 131, 
##     131, 129, 116, 117, 122, 125, 156, 165, -162, -163, -165, 
##     179, 137, 120, 113, 113, 115, 133, 135, 144, 131, 124, 125, 
##     141, 157, 168, -175, -170, -171, -172, -175, 153, 132, 131, 
##     140, 155, -170, -169, -169, -170, -172, -175, -177, 172, 
##     163, 140, 135, 131, 128, 134, 139, 140, 142, 142, 139, 137, 
##     136, 136, 136, 156, 162, -176, -170, -167, -167, -168, -169, 
##     170, 167, 156, 145, 133, 136, 138, 144, 145, 140, 139, 141, 
##     142, 143, 145, 152, 169, 179, 178, 176, 173, 156, 143, 142, 
##     141, 140, 149, 155, 155, 153, 152, 149, 148, 145, 148, 150, 
##     150, 150, 148, 147, 146, 147, 150, 152, 154, 166, 178, 167, 
##     160, 141, 142, 144, 147, 151, 153, 154, 154, 154, 154, 154, 
##     160, 162, 162, 162, 163, 175, 178, 178, 170, 169, 166, 164, 
##     157, 153, 152, 150, 150, 151, 155, 155, 155, 155, 158, 158, 
##     155, 154, 156, 161, 162, 163, 169, 170, 172, 160, 159, 161, 
##     160, 152, 147, 147, 148, 151, 152, 152, 167, 164, 163, 160, 
##     156, 153, 152, 152, 152, 157, 157, 158, 158, 158, 158, 158, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 13.2, 20.9, 34.8, 35.8, 35.2, 34.5, 31.8, 
##     31.5, 32.2, 33.8, 34.4, 34.8, 34.7, 33.1, 33, 33, 31.9, -40.6, 
##     -42.2, -43.7, -45.6, -45.9, -41.7, -40.9, -34.5, -31.2, -7.91, 
##     -6.11, -4.33, 1.49, 3.58, 7.26, 11.7, 19.9, 21.8, 22.6, 25.2, 
##     25.8, 26.3, 27.4, 28.2, 33.4, 34.9, 35.3, 35.7, 34.4, 34.4, 
##     32.5, 32.3, 31.8, 26.3, 14.7, 11.7, -0.05, -4.15, -12.4, 
##     -20, -25.6, -31.8, -34.5, -36.8, -37.9, -40, -44.2, -46.9, 
##     -49.6, -55.6, -56.3, -56.9, -56.7, -56.6, -56.3, -53.8, -50.3, 
##     -48.5, -46.2, -38.7, -33.7, -25.5, -7.06, -4.72, 1.05, 4.41, 
##     10.4, 14, 25, 28, 32.2, 38, 38.8, 38.8, 38.7, 38.5, 38.1, 
##     36.5, 35.9, 35, 34.9, 34.4, 33.7, 33.6, 30.8, 22.4, 16.1, 
##     11.4, 8.9, -0.21, -11.4, -19.9, -30.7, -36.2, -38.5, -42.2, 
##     -45.1, -46.4, -47.6, -58.4, -53.9, -52.3, -46.9, -38.8, -31.1, 
##     -18.2, -14.5, -10.3, 2.21, 5.58, 8.82, 11.7, 17.5, 27, 29.5, 
##     31, 32.2, 33.7, 33.5, -41.9, -42.8, -44.9, -46.2, -47.6, 
##     -51.1, -50.4, -50.4, -49.6, -52.5, -44.3, -40.2, -38, -18.5, 
##     -14.2, -9.3, -0.76, 6.5, 12.8, 21.4, 28, 29.6, 29.2, 29.3, 
##     30.4, 30.7, 31.6, 31.1, 30.1, 26.2, 23.6, 12.7, 0.23, -9.08, 
##     -18.3, -40.7, -43.4, -44.7, -47.3, -47.8, -48.7, -48.6, -52.1, 
##     -52, -51.7, -52.1, -52.4, -52.4, -52.2, -50.8, -47.5, -43.2, 
##     -38.5, -28.9, -26.5, -12.3, 17.5, 19.1, 20.7, 23.1, 22.6, 
##     23.9, 24.3, 25, 27.7, 28.6, 30.1, 30.3, 30.4, 27.7, 23.5, 
##     20.6, -1.29, -10.6, -22.1, -31.3, -34, -38.1, -40.9, -42.9, 
##     -44.6, -48.2, -49.1, -49.9, -51.3, -51.3, -51.7, -51.7, -51.8, 
##     -52, -51.8, -51.6, -51.4, -51.1, -47.4, -42.4, -31.4, -26.5, 
##     -11.2, 0.93, 4.22, 13.1, 19.7, 22.2, 24.4, 25.5, 26.5, -27.1, 
##     -28.8, -30.4, -33.5, -40.4, -41.4, -44, -44.7, -45.3, -45.9, 
##     -48.8, -50.3, -49.8, -49.4, -49.4, -49.2, -49.3, -50.2, -49.3, 
##     -48.7, -47.4, -43.3, -42.1, -40.5, -30.4, -20, -11.9, -5.5, 
##     7.78, 9.69, 11.5, 22.7, 27.8, 27.9, 26.9, 26, 25.4, 25.1, 
##     25, 25.2, 25.3, 25.5, 27.4, 27.8, 28.7, 29.3, 29.5, 22.8, 
##     18.3, -55.3, -55.3, -54.7, -53.8, -56.9, -53.4, -52.3, -48.6, 
##     -43.7, -41.6, -39.2, -31.1, -28.3, -22, -16.6, -13.6, 0.25, 
##     16.6, 25.2, 25.5, 25.8, 24.4, 24.5, 24.7, 25.4, 25.5, 25.5, 
##     24.5, 23.8, 22.8, 21.7, 16.2, 11.5, 7.55, 2.14, -14.1, -21.4, 
##     -28.2, -31.7, -44.1, -52, -52.9, -58.3, -58.9, -60, -56.8, 
##     -55.5, -53.7, -52.5, -46.8, -42.5, -31.9, -30, -20.9, -2.71, 
##     -0.35, 17, 19.7, 19.8, 23.9, 24.7, 25.8, 26.1, 26.3, 25.6, 
##     25.2, 23.7, 21.2, 16.3, 6.51, 4.14, -1.59, -5.17, -12.9, 
##     -40.5, -47.3, -48.7, -56.1, -57.5, -58.7, -58.6, -59.6, -58.9, 
##     -58.3, -58.3, -58.4, -58.2, -57.8, -57.3, -56.9, -56.5, -54, 
##     -53.3, -49.3, -45.3, -43, -40.5, -35.6, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, -14.6, -24, -36.5, -40.5, -44.4, 
##     -48.9, -49.9, -51.4, -52.4, -53.2, -53.8, -54.9, 27.6, 28, 
##     29.3, 29.5, 29.5, 29.3, 29.1, 27.6, 21.5, 20.3, 18.5, 16.3, 
##     14, 7.72, -7.9, -12.1, 29.6, 25.4, 9.17, 3.45, -25.6, -28.5, 
##     -31.1, -33.3, -37.1, -39.3, -40.7, -51.9, -53.8, -54, -54, 
##     -53.7, -53.8, -54.3, -53.6, -52.9, -53.8, -54.3, -54.7, -55.1, 
##     -55.5, -58.2, 31.6, 30.6, 20.9, 19, 1.91, -16.4, -21, -22, 
##     -23.8, -24.9, -36.6, -37.8, 157, 157, 156, 157, 157, 157, 
##     158, 158, 158, 158, 158, 153, 155, 155, 154, 153, 152, 158, 
##     162, 164, 171, 173, 175, 180, 178, 170, 153, 154, 163, 167, 
##     174, 177, 170, 167, 155, 153, 143, 140, 141, 142, 142, 128, 
##     120, 121, 128, 130, 133, 138, 139, 140, 141, 141, 139, 138, 
##     135, 133, 130, 130, 131, 131, 130, 130, 130, 130, 131, 131, 
##     131, 130, 130, 130, 130, 130, 130, 130, 131, 131, 131, -177, 
##     -176, -175, -175, -176, -177, -177, -176, -176, -176, -176, 
##     -175, -176, -177, -180, 179, -176, -177, -178, -178, -178, 
##     179, 178, 178, 176, 176, 176, 176, 176, 175, 175, 176, 176, 
##     177, -173, -173, -173, -175, -176, 180, 173, 172, 172, 170, 
##     170, 177, 177, 178, 177, 177, 176, 176, 173, 172, 170, 170, 
##     171, 171, 172, 174, 177, 178, -178, -178, -178, -177, -177, 
##     -177, -177, -177, -177, -177, -177, -177, 180, -180, -180, 
##     -180, -180, -180, -179, -179, -179, -179, -179, -179, -178, 
##     -178, -178, 126, 125, 126, 127, 128, 136, 140, 138, 138, 
##     138, 136, 133, 116, 119, 120, 122, 122, 123, 124, 125, 124, 
##     123, 121, 151, 129, 123, 121, 119, 118, 117, 117, -157, -159, 
##     169, 177, -154, -150, -148, -150, -150, -150, -151, -152, 
##     -154, -154, -149, -149, -150, -151, -152, -152, -151, -150, 
##     -152, -155, -159, -166, -178, 167, 145, 139, 138, -153, -154, 
##     -158, -162, -166, -176, -179, 173, 142, 133, 133, 132, 133, 
##     163, 159, 155, 146, 144, 136, 134, 136, 137, 141, 142, 143, 
##     -145, -145, -145, -145, -145, -145, -154, -158, -168, -172, 
##     151, 134, 131, -143, -144, -145, -150, -153, -156, 173, 152, 
##     131, 129, 129, 129, 137, 135, 137, 134, 131, 131, 133, 141, 
##     168, -178, -173, -155, -143, -140, -141, -142, -142, -143, 
##     -141, 111, 110, 104, 103, 103, 103, 104, 119, -139, -110, 
##     -110, -110, -110, -110, -111, -111, -112, -111, -111, 115, 
##     116, 118, 118, 120, 120, 120, 120, 119, 118, 118, 118, 117, 
##     136, 140, 141, 141, 142, 144, 145, 147, 147, 147, 146, 145, 
##     143, 140, 141, 152, 153, 162, 165, 179, -177, 166, 159, 146, 
##     141, 139, 139, 138, 139, 141, 144, 147, 150, 152, 151, 150, 
##     150, 150, 147, 146, 150, 153, 155, 174, 175, 168, 165, 163, 
##     162, 161, 161, 153, 151, 150, 150, 149, 148, 147, 146, 147, 
##     149, 150, 152, 155, 156, 158, 158, 158, 155, 154, 153, 151, 
##     150, 149, 149, 148, 149, 150, 150, 151, 152, 154, 156, 156, 
##     158, 158, 157, 157, 157, 157, 157, 155, 154, 153, 150, 148, 
##     147, 147, 147, 146, 147, 147, 149, 150, 156, 157, 158, 161, 
##     161, 161, 161, 161, 154, 149, 149, 149, 149, 149, 149, 149, 
##     148, 148, 148, 149, 149, 150, 150, 150, 150, 150, 150, 150, 
##     150, 150, 146, 148, 153, 161, 162, 162, 160, 159, 158, 157, 
##     153, 149, 145, 145, 144, 140, 140, 139, 140, 139, 139, 139, 
##     138, 138, 137, 137, 137, 137, 138, 140, 142, 149, 151, 165, 
##     164, 163, 160, 157, 153, 151, 143, 135, 134, 130, 130, 131, 
##     131, 131, 132, 134, 134, 134, 134, 134, 133, 133, 133, 136, 
##     137, 142, 166, 174, 179, 177, 176, 170, 138, 135, 132, 132, 
##     132, 130, 129, 129, 130, 132, 131, 131, 131, 130, 130, 130, 
##     131, 139, 142, 150, 160, 161, 160, 159, 157, 155, 137, 135, 
##     132, 127, 126, 127, 127, 128, 128, 129, 128, 178, 178, 176, 
##     176, -180, -180, -180, 180, 180, -180, -179, -179, -178, 
##     -178, -178, -177, -176, -176, -176, -176, -176, -176, -176, 
##     -175, -175, -175, 179, 179, 177, 177, 176, 175, 175, 176, 
##     176, 178, 179, 177, 177, 176, 176, 177, 177, 177, -180, -177, 
##     -174, -174, -174, -175, -175, -176, -178, -177, -176, -176, 
##     -175, -174, -175, -175, -176, -176, -177, -177, -177, -177, 
##     -178, 177, 176, 175, 174, 174, 173, 175, 175, 177, 177, 178, 
##     179, -179, -178, -175, -175, -171, -171, -171, -172, -174, 
##     -175, -175, -175, -175, -174, -174, -173, -175, -175, -178, 
##     -180, -173, -172, -173, -173, -174, -177, -177, -177, -177, 
##     -176, -176, -178, -178, -178, -178, -176, -175, -175, -174, 
##     -174, 178, 174, 173, 168, 169, 171, 171, 171, 177, 180, -175, 
##     -172, -171, -171, -171, -171, -171, -171, -171, -173, -177, 
##     169, 167, 170, 171, 172, 172, 173, 177, 178, 180, -178, -174, 
##     -173, -173, -173, -171, -171, -171, -171, -170, -170, -170, 
##     -170, -169, -169, -169, -172, -175, 179, 175, 173, 171, 166, 
##     167, 167, 167, 170, 171, 172, 174, 175, 176, 178, 180, -177, 
##     -177, -175, -174, -171, -173, -172, -171, 179, 177, 175, 
##     173, 171, 170, 170, 173, 174, 176, 177, 177, 179, -174, -174, 
##     -174, -173, -173, -174, -174, -176, 180, 179, 172, 172, 174, 
##     175, 176, 176, 177, 179, -177, -177, -176, -174, -174, -173, 
##     -174, -177, -177, -176, -176, -176, -174, -174, -175, -176, 
##     -176, -177, -177, -160, -163, -165, -166, -168, -175, 165, 
##     161, 156, 147, 146, 146, 146, 146, 150, 149, 149, 149, 148, 
##     148, 149, 149, 150, 150, 150, 150, 151, 151, 151, 150, 150, 
##     150, 148, 148, 148, 147, 148, 150, 151, 150, 150, 150, 149, 
##     149, 148, 148, 147, 147, 146, 146, 146, 146, 145, 144, 145, 
##     146, 146, 146, 146, 145, 146, 146, 146, 146, 147, 147, 148, 
##     149, 150, 151, 151, 151, 149, 149, 149, 149, 149, 149, 148, 
##     148, 146, 146, 147, 150, 151, 152, 153, 155, 156, 161, 162, 
##     165, 165, 161, 159, 156, 154, 145, 144, 141, 142, 146, 146, 
##     148, 148, 148, 149, 149, 150, 150, 150, 150, 150, 145, 145, 
##     145, 148, 154, 156, 156, 165, 166, 159, 149, 140, 139, 137, 
##     136, 142, 143, 143, 143, 140, 138, 138, 142, 152, 157, 166, 
##     168, 171, 171, 170, 167, 155, 149, 141, 133, 133, 133, 132, 
##     133, 133, 139, 140, 140, 139, 139, 138, 138, 136, 137, 138, 
##     141, 147, 171, 174, 174, 164, 146, 143, 142, 136, 136, 137, 
##     137, 138, 140, 140, 140, 140, 140, 139, 138, 140, 146, 149, 
##     155, 178, -171, -173, -176, 178, 175, 164, 154, 143, 141, 
##     140, 140, 140, 140, 139, 140, 141, 143, 143, 140, 141, 141, 
##     141, 142, 142, 141, 139, 139, 142, 146, 156, 165, -171, -158, 
##     -160, -161, -169, 179, 156, 145, 138, 138, 138, 139, 139, 
##     140, 142, 142, 140, 152, 155, 159, 165, -177, -171, -158, 
##     -157, -159, -160, 153, 150, 144, 142, 139, 138, 136, 135, 
##     136, 137, 137, 138, 139, 139, 142, 173, -163, 158, 158, 158, 
##     158, 158, 158, 158, 159, 161, 161, 164, 165, 166, 166, 167, 
##     169, 169, 168, 168, 168, 169, 169, 171, 168, 166, 160, 158, 
##     157, 157, 156, 156, 156, 156, 157, 158, 158, 158, 158, 158, 
##     157, 157, 156, 156, 157, 158, 161, 165, 165, 163, 162, 163, 
##     163, 162, 161, 151, 148, 149, 152, 152, 153, 153, 152, 151, 
##     150, 149, 150, 152, 153, 154, 154, 154, 154, 157, 157, 157, 
##     157, 157, 156, 154, 154, 153, 151, 150, 151, 151, 152, 151, 
##     151, 149, 146, 140, 138, 134, 137, 141, 142, 140, 139, 138, 
##     136, 137, 139, 142, 143, 147, 149, 150, 152, 149, 134, 133, 
##     132, 135, 139, 139, 138, 137, 136, 135, 135, 134, 135, 137, 
##     138, 141, 148, 155, 155, 155, 155, 149, 134, 132, 129, 130, 
##     130, 130, 131, 134, 135, 136, 136, 136, 135, 133, 130, 135, 
##     144, 145, 147, 148, 149, 149, 149, 148, 144, 136, 126, 124, 
##     123, 125, 124, 130, 130, 130, 129, 129, 126, 126, 128, 137, 
##     146, 153, 157, 142, 136, 134, 127, 127, 126, 125, 130, 131, 
##     131, 131, 131, 129, 130, 145, 147, 157, 155, 153, 147, 137, 
##     132, 130, 130, 130, 130, 125, 126, 128, 131, 130, 129, 128, 
##     128, 128, 128, 130, 132, 133, 142, 149, 151, 150, 150, 151, 
##     152, 140, 137, 128, 127, 128, 126, 125, 124, 131, 132, 132, 
##     132, 131, 131, 129, 129, 130, 130, 130, 130, 129, 130, 130, 
##     130, 129, 129, 130, 130, 130, 129, 129, 129, 128, 128, 128, 
##     128, 128, 128, 128, 128, 129, 129, 128, 128, 127, 127, 127, 
##     127, 129, 130, 132, 134, 142, 150, 158, 162, 165, -177, -159, 
##     -159, -164, -170, 156, 148, 127, 120, 125, 128, 130, 133, 
##     135, 152, 159, 168, 173, -163, -164, 166, 161, 127, 132, 
##     136, 136, 135, 135, 138, 139, 139, 138, 138, 137, 136, 136, 
##     135, 135, 135, 134, 134, 133, 133, 133, 133, 133, 133, 133, 
##     133, 133, 133, 132, 132, 133, 133, 133, 134, 135, 138, 138, 
##     140, 144, 146, 145, 143, 142, 147, 149, 149, 148, 147, 148, 
##     147, 148, 148, 148, 148, 148, 147, 147, 148, 148, 148, 148, 
##     148, 148, 148, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, -25.9, -9.83, 12.8, 14.9, 20.1, 22.6, 25.3, 25.1, -43.2, 
##     -45.1, -47, -51.5, -52.1, -50.8, -49.1, -48.9, -49.4, -49.7, 
##     -50.1, -50.2, -50.3, -51.3, -52, -43.1, -22.2, -19.9, -17.7, 
##     -2.65, 2.44, 10.8, 28, 29.8, 29.4, 29, 28.3, 28.5, 28.8, 
##     30.7, 31.5, 34.2, 34.6, 34.8, 34.3, 33.9, 31.7, 28.6, 24.2, 
##     22.5, 20.7, 9.67, 6.98, -36.5, -44, -46.3, -48.7, -49.3, 
##     -50.6, -51.4, -47.5, -47.5, -46.3, -45.2, -45.3, -46.3, -48.1, 
##     -48.6, -48.8, -49, -49.3, -49.6, -50, -50.1, -49.4, -48.2, 
##     -47.6, -29.6, -27.3, -15.7, -9.94, -7.05, 0.07, 1.66, 3.45, 
##     7.68, 13.9, 23.9, 25.9, 27.2, 27.5, 28.4, 29.3, 35.9, 35.4, 
##     33.9, 30.7, 30.4, 29.1, 28.1, 25.2, 21.9, 19, 17.8, 11.7, 
##     -21.8, -28.6, -31.6, -32.9, -36.6, -37.7, -40.6, -40.5, -39.7, 
##     35.4, 35.3, 33.8, 33.5, 33.3, 32.9, 31.7, 29.8, 28.6, 24.5, 
##     20, 18.5, 16.9, 5.69, -19.5, -14.9, -0.47, 1.13, 4.1, 5.51, 
##     8.18, 12.7, 19.5, 27, 30.7, 31.8, 35, 35.8, 36.3, 35.8, 35.7, 
##     35.8, 36.3, 37.4, 38.9, 38.9, 38.3, 33.1, 29.2, 25.3, 14, 
##     6.73, -3.75, -6.4, -22.7, -27.8, -29.3, -32.5, -33.9, -37.8, 
##     -34.5, -19.2, -16.9, -2.19, 5.15, 11.8, 18, 22.8, 27.4, 37.6, 
##     39.7, 40.4, 40.1, 39.2, 38.9, 38.7, 38.5, 39.5, 39.3, 39.1, 
##     37.3, 36.9, 34.3, 30.1, 26.7, 23.1, 21.1, 19.3, 9.75, 4.29, 
##     1.14, -21.2, -31.3, -33.2, -42.7, -44.4, -46.4, -45.2, -44.5, 
##     -43.1, -38.3, -35.6, -19.3, -11.9, 7.99, 12.3, 20.2, 30.4, 
##     36.3, 40.1, 41.5, 42.3, -40.9, -42.1, -44.8, -45.7, -53.8, 
##     -54.1, -50, -47.8, -5.08, 2.43, 9.23, 11.7, 7.73, -26.7, 
##     -29.2, -35.3, -37.6, -42.5, -43.4, -45.5, -45.8, -46, -45.7, 
##     -45.4, -44.3, -40.8, -39.9, -34.9, -12.1, -7.32, -5.19, -0.1, 
##     2.8, 12.5, 24.9, 30.7, 41.4, 43.4, 43.7, 44, 44.2, 44.8, 
##     44.9, 45, 45.6, 43.8, 16.5, 31, 37.2, 37.9, 38.2, 38.2, 41, 
##     41.7, 41.2, 41.1, 40.8, 37.3, 43.6, 44.1, 43.3, 36.2, 31.4, 
##     27.9, 22, 16.6, 13, 9.48, -2.54, -10.1, -24.4, -27, -29, 
##     -30.9, -34.3, -39.6, -35.5, -35.9, -36.4, -38.9, -39, -38.8, 
##     -34.7, -30.6, -17.2, -34.9, -33.9, -31.5, -25.7, -17.7, -15.6, 
##     -13.4, -4.13, -2.14, 6.15, 15.6, 28.6, 31.1, 31.7, 26.6, 
##     26.9, 27.7, 28.1, 21.5, 19.5, 16.8, 7.82, 3.46, -7.19, -23.1, 
##     -38.9, 147, 147, 147, 147, 147, 147, 147, 147, 147, 146, 
##     146, 145, 144, 131, 131, 132, 132, 132, 132, 132, 132, 132, 
##     132, 133, 133, 133, 146, 147, 146, 145, 145, 146, 147, 148, 
##     149, 149, 147, 141, 141, 143, 148, 149, -175, -173, -173, 
##     -172, -173, -173, -173, -174, -174, -175, -175, -175, -175, 
##     -175, 175, 170, 171, 172, 173, 174, 175, 178, -180, -179, 
##     -178, -177, 180, 176, 174, 173, 172, 171, 172, 172, 172, 
##     173, 177, 179, 180, -179, -179, -179, -178, -176, -175, -175, 
##     167, 165, 162, 149, 139, 137, 137, 139, 139, 140, 140, 140, 
##     140, 139, 139, 140, 142, 142, 143, 143, 143, 144, 144, 142, 
##     140, 141, 146, 147, 151, 159, 145, 145, 146, 146, 146, 146, 
##     146, 149, 149, 151, 151, 148, 146, 146, 147, 147, 147, 148, 
##     149, 148, 148, 149, 149, 149, 149, 148, 150, 151, 154, 155, 
##     156, 156, 158, 153, 151, 147, 147, 146, 146, 150, -166, -162, 
##     -161, -161, -160, -162, -165, -170, -175, 179, 165, 159, 
##     150, 147, 139, 138, 138, 138, 138, 139, 151, 151, 149, 149, 
##     149, 149, 149, 148, 148, 148, 149, -131, -132, -142, -145, 
##     -153, -164, 156, 154, 153, 151, 153, 155, 167, -166, -162, 
##     -152, -150, -138, -135, -133, -136, -142, -146, -158, -176, 
##     174, 144, 141, 140, 141, 142, 143, 143, 144, 148, 172, -171, 
##     -161, -157, -154, 142, 143, 148, 150, 156, 172, -165, -147, 
##     -134, -135, -136, -138, -145, -158, -175, 176, 156, 151, 
##     140, 139, 138, 137, 136, 136, 137, 138, 139, 140, 141, 147, 
##     -150, -146, -143, -139, -136, -133, -132, -132, -133, -134, 
##     -138, -147, -150, -155, 128, 128, 127, 127, 126, 127, 131, 
##     132, 134, 136, 139, 150, 161, 162, 163, 171, 132, 128, 124, 
##     123, 121, 122, 122, 122, 122, 123, 123, 123, 124, 123, 123, 
##     123, 123, 124, 124, 125, 136, 140, 123, 121, 121, 121, 120, 
##     119, 119, 119, 120, 121, 121, 121, 120, 120, 121, 121, 122, 
##     122, 122, 123, 123, 128, 154, 154, 154, 153, 153, 155, 158, 
##     163, 173, -160, -155, -155, 177, 171, 157, 153, 149, 142, 
##     143, 143, 142, 143, 143, 144, 144, -157, 148, 145, 143, 142, 
##     138, 132, 131, 131, 130, 130, 130, 131, 133, 140, 142, 148, 
##     172, -177, -172, -156, -148, -150, -153, -178, 177, 166, 
##     138, 137, 135, 134, 134, 134, 135, 136, 138, 140, 141, 143, 
##     147, 150, 167, -162, -151, -148, 136, 140, 147, 160, 168, 
##     173, -178, -174, -155, -153, -151, -150, -146, -146, -152, 
##     -158, -161, -165, 144, 140, 138, 134, 134, 134, 135, 135, 
##     135, 136, 136, 138, 145, 152, 155, 162, 175, 180, -176, 137, 
##     137, 136, 136, 136, 137, 152, 180, -176, -169, -166, -154, 
##     -149, -140, -141, -142, -155, -164, -171, -176, 178, 154, 
##     148, 147, 143, 142, 141, 141, 141, 141, 141, 143, 150, 152, 
##     155, 158, 161, -143, -139, -137, -141, -142, -144, -149, 
##     -173, 158, 137, 136, 137, 137, 138, 139, 140, 140, 169, 173, 
##     -169, -156, -154, -152, -145, -146, -159, -166, -27.3, -30.6, 
##     -33.1, -40.2, -53.2, -59.5, -61.3, -62.9, -65.2, -68.6, -71.7, 
##     -71.2, -15, -29.7, -33.8, -49.4, -55.3, -59.3, -61.3, -63.4, 
##     -71.3, -74.1, -70.8, -70.1, -69.3, -68.4, -67.8, -65.8, -64.7, 
##     -57, -48.5, -32.2, -28.7, -21.6, -17.7, -14.6, -4.53, 5.09, 
##     10.1, 14.7, 23.8, 21.6, 8.85, -3.13, -43, -58.3, -61.4, -66.6, 
##     -69.8, -71.7, -72.5, -73.2, -74.7, -76.2, -76.3, -75.3, -75.1, 
##     -74.4, -73.3, -65.1, -61.7, -59.6, -57.2, -33.7, -4.42, 1.36, 
##     -29.3, -7.81, 8.1, 19.6, 23.9, 30.3, 42.1, 40.2, 39.2, 36.4, 
##     34.5, 32.3, 25.4, 21.5, 16.4, -3.14, -25.6, -58.9, -61.4, 
##     -67.5, -68.7, -75.4, -76.5, -81.6, -82.6, -84.6, -84.8, -84.2, 
##     -83.9, -82.9, -74.4, -72.5, -58.4, -54.9, -50.3, -37.9, 23.7, 
##     27.1, 30.6, 33.4, 36.4, 48.3, 47.9, 46.8, 42.3, 36.6, 17.9, 
##     -6.61, -68.4, -71.8, -73.2, -74.5, -76, -77, -80.7, -81.5, 
##     -82.4, -85.1, -85.7, -87, -87.2, -87.5, -80.5, -79.4, -69, 
##     -47.3, 32.2, 48, 60.8, 62.5, 62.8, 62.3, 56.5, 44.4, 22.7, 
##     -13.8, -25.4, -43.7, -93.3, -90, -89.1, -82.2, -77.2, -19.6, 
##     19.1, 33.3, 55.2, 64.9, 75.6, 76, 75.2, 73.3, 71.6, 69, 68.1, 
##     22.9, -32.9, -97.1, -97, -97.1, -97.7, -97.3, -96.7, -96.6, 
##     -97.3, -97.4, -97.5, -98, -98.4, -98.6, -98.8, -99, -99.4, 
##     -101, -103, -103, -99.8, -97.6, -87.7, 74.1, -179, 178, 173, 
##     171, 172, 175, 175, 177, 178, -178, -176, -175, -174, -173, 
##     -173, -172, -172, -173, -176, -175, -174, -174, -173, -174, 
##     -174, -174, -179, 178, 176, 175, 175, 175, 176, 176, 178, 
##     -178, -176, -176, -175, -172, -171, -170, -170, -172, -173, 
##     -173, -172, -172, -173, -173, -174, -173, -173, -173, -173, 
##     -171, -169, -169, 177, 178, 179, -177, -177, -174, -177, 
##     -178, -179, -179, -178, -177, -176, -176, -179, -179, -179, 
##     -179, -180, 179, 178, 177, 173, 170, 170, 170, 174, 178, 
##     179, -178, -179, -179, -180, -180, -180, -180, -179, -177, 
##     -180, -179, -177, -177, -176, -176, -176, -177, -177, -178, 
##     -178, -179, -180, 180, 179, 179, 175, 175, 176, 177, 177, 
##     177, 179, 179, 179, -178, -175, -176, -180, 179, 179, -179, 
##     -179, -179, -179, 177, 177, 177, 177, 177, 177, 177, 176, 
##     176, 178, 179, 179, -178, -179, -179, -176, -176, -176, -176, 
##     -177, -178, -179, -179, -176, -176, -176, -176, -178, -178, 
##     -179, -180, 177, 177, 177, 178, 179, 180, -179, -179, -179, 
##     -179, -178, -177, -176, -176, -176, -177, -178, -178, -178, 
##     -176, -178, -179, -180, 180, 179, 178, 178, 178, 178, 176, 
##     176, 175, 175, 175, 174, 174, 175, 175, 179, 179, 180, -179, 
##     -178, -177, -176, -175, -175, -173, -172, -176, -178, -178, 
##     -178, -177, -177, -178, -179, -179, -180, 179, 178, 178, 
##     178, 179, 179, 179, 179, 179, 178, 177, 177, 180, 180, 180, 
##     -180, -180, 180, -180, -178, -177, -178, -179, -179, -179, 
##     -179, -177, -177, -177, -177, -177, -177, -178, -178, -177, 
##     -177, -179, 180, 180, -180, -179, -178, -177, -177, -156, 
##     -162, -173, 131, 131, 133, 134, 137, 137, 136, 138, 142, 
##     158, -170, -159, -156, -152, -150, -145, -144, -145, -162, 
##     -175, 178, 158, 153, 146, 143, 142, 137, 137, 137, 138, 139, 
##     138, 138, 138, 138, 137, 137, 137, 137, 137, 136, 136, 136, 
##     137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 140, 
##     146, 157, 161, 165, 169, -178, -160, -145, -143, -141, -139, 
##     -138, -137, -137, -137, -145, -147, -154, -162, -170, 166, 
##     164, 164, 165, 167, 170, 173, 178, -177, -164, -157, -147, 
##     -143, -142, -140, -137, -135, -135, -135, -138, -143, -151, 
##     -156, -170, 175, 167, 164, 160, 152, 148, 148, 148, 149, 
##     151, 153, 155, 161, 163, 169, 172, -159, -138, -138, -138, 
##     -141, -159, -161, -164, 178, 148, 147, 146, 145, 144, 144, 
##     144, 145, 146, 146, 147, 154, -176, -172, -164, -158, -153, 
##     -151, -143, -137, -137, -137, -138, -145, -146, -163, -156, 
##     -153, -142, -140, -138, -136, -135, -133, -133, -133, -133, 
##     -134, -143, -160, -167, -175, 162, 159, 156, 155, 155, 157, 
##     160, 162, -179, -175, -146, -130, -129, -129, 148, 148, 151, 
##     165, 177, -178, -179, 179, 177, 161, 145, 145, 146, 145, 
##     145, 146, 147, 149, 149, 153, 161, 166, 168, 175, 173, 171, 
##     164, 157, 151, 148, 141, 140, 143, 143, 141, 143, 143, 144, 
##     146, 155, 165, 168, 171, 179, 180, 148, 146, 143, 141, 139, 
##     142, 143, 142, 144, 148, 151, 144, 144, 145, 145, 144, 147, 
##     152, 156, 163, 170, 170, 170, 175, 179, -179, -177, -177, 
##     154, 157, 168, 174, 179, -171, -172, -180, 169, 161, 158, 
##     153, 151, 148, 147, 147, 147, 146, 148, 150, 154, 159, -179, 
##     -169, -168, -171, -176, 177, 165, 152, 141, 138, 138, 137, 
##     144, 162, 165, 168, 179, -176, -174, -173, -173, -173, -173, 
##     178, 165, 145, 142, 142, 142, 142, 147, 154, 155, 168, 175, 
##     -177, -180, 179, 177, 176, 161, 161, 158, 153, 149, 143, 
##     142, 146, 147, 148, 149, 152, 165, 169, -177, -170, 150, 
##     150, 150, 150, 150, 150, 150, 151, 151, 151, 150, 150, 150, 
##     149, 149, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 147, 147, 
##     147, 147, 147, 147, 148, 148, 148, 148, 148, 150, 152, 152, 
##     152, 152, 152, 152, 149, 148, 148, 148, 148, 148, 148, 148, 
##     147, 147, 148, 148, 148, 148, 148, 148, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 35.5, 30.8, 29.5, 20.7, -20.1, -24.8, 
##     -27.1, -44, -46.4, -49.6, -46.8, -42.5, -39, -33.9, -26, 
##     41.6, 41.5, 41.4, 40.6, 36.1, 34.7, 33.2, 30.2, 28.6, 15.7, 
##     12.8, 6.9, 3.61, -6.64, -10.2, -20.6, -45.4, -47.5, -45, 
##     -44.5, -43.1, -40.8, -18.8, -16, -13.1, 15.1, 18.7, 25, 27.8, 
##     30.6, 36.6, 38.9, 39.9, 43.3, 45.6, 45, 43.8, 42.9, 42.7, 
##     42.6, 42.6, 43.2, 42.6, 42.1, 39.2, 32.6, 25.1, 22.2, 19.1, 
##     14.8, -2, -12.6, -15.8, -23.9, -28.6, -38.5, -41.7, -42, 
##     -42.6, -43.3, -43.7, -44.1, -44.2, -44.1, -43.1, -40.2, -39, 
##     -28.1, -25.8, 47.9, 47.5, 47.2, 46.5, 43.8, 42.9, 41.2, 34.5, 
##     31, 27.1, 22.7, 13.7, 4.98, 0.89, -5.74, -9.27, -19.9, -24.4, 
##     -31.4, -32.8, -42.9, -43.1, 34.3, 40, 40.6, 40.6, 41, 41.2, 
##     41.4, 33.7, 26.9, 22.7, 18.4, 0.98, -13.8, -16.6, -24.4, 
##     -24.3, -24.2, -23.8, -23.7, -24, -56.6, -83, -87.6, -89.9, 
##     -92.5, -92.4, -92, -93.5, -95.7, -94.6, -94.5, -94.3, -93.9, 
##     -68.2, -69.4, -72.5, -74.5, -75.2, -75.7, -76.1, -76.5, -77.7, 
##     -78.2, -78.8, -80.9, -80.4, -80, -79.6, -79.2, -78.3, -78, 
##     -76.9, -72.9, -71.3, -62.5, -59.9, 19.3, 21.4, 18.7, 16.9, 
##     7.05, -49.7, -69.9, -68.2, -67.8, -67, -64.4, -52.9, -42.5, 
##     -33.4, -29.8, -20.1, -16.9, -8.41, -1.42, 0.53, 6.12, 8.69, 
##     8.44, 6.75, 2.3, -9.18, -42.4, -42.8, -43.4, -45.6, -46.1, 
##     -46.7, -44, -42.8, 25.5, -19.8, 3.81, 6.9, 13, 16.7, 29.6, 
##     31.8, 44.6, 46.6, 47.3, 46.4, 46.6, 46.9, 48.2, 48.2, 48.1, 
##     -21.3, -18.8, -16.2, -13, -7.29, 4.9, 7.49, 14.3, 18.7, 22.6, 
##     28, 29.4, 34.7, 39.1, 40.1, 40.3, 149, 149, 148, 148, 149, 
##     148, 149, 149, 149, 148, -172, -179, 170, 168, 161, 158, 
##     156, 151, 149, 148, 148, 149, 149, 149, 151, 150, 169, 145, 
##     144, 144, 146, 145, 145, 145, 156, 164, 167, 169, 172, 178, 
##     -180, -179, 180, 180, 179, 179, 163, 155, 146, 146, 146, 
##     144, -179, -178, -178, -178, 175, 175, 174, 175, 175, -179, 
##     -178, 180, -177, -176, -176, -176, -179, -180, -180, 179, 
##     179, 179, -179, -179, -178, -178, -178, -178, -176, -176, 
##     -176, -175, -176, -176, -177, 179, 177, 176, 175, 173, 172, 
##     171, 171, 171, 171, 172, 176, -178, -177, -176, -175, -175, 
##     -174, -174, -174, -175, -176, -178, -178, -178, -177, -176, 
##     -168, -168, -168, -168, -173, -180, 176, 168, 167, 168, 170, 
##     171, 172, 173, -157, -154, -144, -143, -144, -147, -149, 
##     -164, -176, 161, 147, 144, 139, 138, -143, -146, -149, -159, 
##     153, 139, 135, 131, 132, 132, 132, 132, 132, 131, 156, 159, 
##     161, 173, -163, -152, -151, 167, -176, -177, -178, -180, 
##     168, 162, 153, 146, 137, 133, 131, 129, 128, 123, -140, -138, 
##     -134, -133, -132, -132, -132, -132, -134, -135, -139, -146, 
##     -158, 170, 148, 139, 140, -148, -152, -156, -161, -164, -169, 
##     177, 169, 163, 157, 159, 168, 177, -170, -166, -115, -117, 
##     -120, -127, -136, -137, -137, -137, -143, -144, -152, -156, 
##     -157, -159, -168, -171, -174, -177, -178, -178, 180, 177, 
##     176, 176, 177, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 138, 137, 138, 138, 
##     136, 134, 134, 134, 134, 134, 134, 133, 133, 133, 133, 133, 
##     133, 133, 133, 133, 133, 134, 134, 134, 134, 134, 134, 134, 
##     134, 134, 136, 138, 139, 148, 152, -160, -156, -151, -139, 
##     -137, -137, -137, -138, -141, -142, -146, -144, -144, -144, 
##     -143, -143, -143, -144, -145, -150, 138, 128, 127, 132, 135, 
##     139, 138, 139, 139, 140, 140, 150, 157, -178, -174, -159, 
##     -157, -154, -148, -141, -146, -146, -145, -146, -146, -146, 
##     -146, -146, -156, -159, 179, 166, 160, 141, 140, 138, 138, 
##     138, 140, 141, 141, -146, -147, 137, 135, 137, 141, 141, 
##     143, -160, -145, -148, -147, -149, -152, -156, -160, -162, 
##     -172, -178, 161, 157, 150, 148, 146, 144, 142, 142, 144, 
##     145, 145, 160, 173, -169, -148, -145, -145, -148, -150, -150, 
##     -148, -147, -148, -149, -152, -156, -157, -158, -160, -156, 
##     -151, -153, -156, -158, -157, -158, -159, -159, -160, -162, 
##     -179, 177, 165, 152, 140, 139, 142, 143, 143, 143, 143, 143, 
##     145, -168, -162, -152, -153, -153, -159, -163, -174, 178, 
##     143, 145, 153, 153, 153, 151, 151, 149, 153, 154, 166, 175, 
##     177, -153, -154, -155, -156, -156, -163, -172, -176, -179, 
##     178, 175, 167, 164, 142, 140, 140, 141, 141, 142, 145, 147, 
##     148, 151, 153, 159, 162, 176, -174, -170, -164, -155, -157, 
##     -157, -157, -158, -159, -159, -163, -167, -171, -173, -175, 
##     -179, 170, 159, 140, 138, 138, 139, 139, 142, 142, 142, 142, 
##     141, 140, 139, 139, 139, 139, 139, 139, 139, 139, 140, 140, 
##     140, 140, 141, 141, 141, 141, 144, 145, 146, 146, 147, 147, 
##     147, 148, 148, 147, 148, 148, 151, 153, 153, 153, 152, 148, 
##     152, 148, 136, 135, 132, 133, 134, 134, 135, 135, 138, 146, 
##     -178, -151, -144, -148, -164, 170, 164, 138, 135, 133, 132, 
##     129, 128, 126, 122, 120, 118, 114, 116, 117, 118, 118, 119, 
##     119, 119, 117, 117, 118, 118, 118, 129, 151, 161, -161, -156, 
##     -154, -154, -157, -162, -169, 179, 172, 145, 142, 137, 134, 
##     131, 131, 132, 134, 134, 132, 131, 131, 155, 176, -174, -167, 
##     -168, -167, -167, -167, -169, 179, 153, 141, 140, 138, 75, 
##     74.2, 80.2, 79.2, 79.1, 79.3, 83, 84.2, 84.5, 83.2, 129, 
##     -101, -101, -102, -102, -102, -102, -103, -103, -103, -103, 
##     -103, -103, -101, -102, -104, -105, -107, -111, -113, -154, 
##     160, 143, 133, 102, 93.8, 90.2, 88.1, 88.2, 92.1, 92.2, 92.1, 
##     91.1, 91.6, 93.9, -112, -112, -112, -112, -112, -110, -109, 
##     -108, -109, -109, -115, -115, -115, -116, -121, -130, -132, 
##     -134, -141, -144, 152, 116, 108, 104, 105, 105, 104, 103, 
##     101, 99.3, 98.5, 97.4, 97.6, 96.6, 95.1, 94.3, 92.1, 89.9, 
##     87.1, 84.2, 82.6, 77, 61.2, 60.1, 54.5, 53.7, 47.7, 45.5, 
##     42, 38.1, 35.6, 29.3, 25.5, 22.1, 18.1, 7.76, 2.24, -24.6, 
##     -41.4, -58.5, -61, -63, -64.2, -68.4, -68.5, -68.5, -68.4, 
##     -68.3, -67.7, -66.9, -64.8, -60.5, -57.6, -48.1, -42.7, -21, 
##     2.09, 20.2, 22.8, 27.2, 40.9, 41.8, 41.2, 41.4, 42.2, 42.1, 
##     40, 33.7, 29.1, 24, 21.1, 7.96, -11.7, -34.6, -41.3, -45.8, 
##     -52.4, -55.3, -61.3, -66.3, -68.9, -71.4, -72, -71.9, -71, 
##     -70, -68.4, -61, -51.2, -20.6, -8.93, 39.5, 42.4, 42.3, 42.2, 
##     42.1, 40.2, 28.6, 25.7, 18.7, 9.77, -36.6, -41.1, -51.5, 
##     -56, -59.1, -61.2, -68.4, -71.8, -71.3, -71, -70.4, -69.7, 
##     -68.9, -65.1, -58, -52, -46.2, -42.5, 2.3, 28.6, 34.2, 36.7, 
##     44, 44.2, 42.5, 40, 38, 29.1, 22.2, 15.2, -6.82, -12.9, -48.9, 
##     -62.1, -65.5, -69.2, -69.8, -71.5, -72.5, -72.8, -73.4, -75.6, 
##     -75.4, -74.7, -74.4, -71.2, -68.5, -66.2, -65.2, -63.2, -54.3, 
##     -51.9, -42.1, -37.2, 0.24, 28.9, 33.9, 44.8, 44.7, 44.2, 
##     41.9, 41.8, 41.8, 34.3, 28.4, 24.6, 8.86, 2.41, -4.15, -11, 
##     -45.4, -56.8, -59.5, -61.4, -64.2, -68, -69.5, -70.2, -70.1, 
##     -69.9, -70, -70.2, -70.9, -72, -72.4, -72.9, -73, -73.2, 
##     -73.3, -73.4, -73.5, -73.5, -73.3, -72.9, 33.9, 34.1, 34.3, 
##     34.2, 31.4, 29.3, 17.3, -2.4, -18.4, -47.1, -50.6, -60.8, 
##     -65.6, -69.2, -71.3, -72.2, -74.4, -73.9, -73.2, -72.4, -71.2, 
##     -70.1, -69.8, -69.5, -69.2, -69, -68.1, -60.6, -46.8, -26.1, 
##     -21, -10.3, -3.92, 19.4, 31.4, 35.5, 38.6, 42.6, 44.3, 46.8, 
##     49.2, 49.3, 47.7, 46.1, 40.6, 37.2, 14.3, 2.75, -39.4, -45.3, 
##     -54.4, -64.8, -66.9, -68.7, -71.8, -77, -79, -80, -75.4, 
##     -75.1, -75.1, -74.9, -74.8, -74.4, -74.3, -71.7, -70.5, -63.6, 
##     -23.5, -19.6, 2.24, 7.83, 26.9, 39.8, 42.1, 43.2, 46.4, 47.1, 
##     48.2, 47.2, 43.4, 41.6, 31, 28.6, 25.8, 6.19, -45.4, -61.6, 
##     -62.5, -63, -69.5, -70.8, -71.4, -72.4, -72.3, -72.2, -73.2, 
##     -73.4, -73.6, -73.8, -74.2, -74.3, -74.1, -73.8, -73.3, -71.7, 
##     -54.1, -35.3, -22.9, -16.6, 22.3, 33.5, 41.8, 43.3, 44.3, 
##     44.4, 43.4, 41.6, 39.9, 26.5, 16.4, 10.1, 3.63, -43.9, -47.6, 
##     -68.2, -71.2, -73.2, -74.4, -75.9, -72.3, -73.7, -74.4, -74.9, 
##     -75.1, -75.3, -75.2, -66.6, -64.1, -17, -10.6, 7.68, 24, 
##     42.7, 45.1, 48.9, 50.2, -177, -178, -178, -179, -179, 179, 
##     176, 176, 178, 178, 178, 179, 179, 179, 179, 179, 180, -179, 
##     -179, -178, -178, -178, -178, -178, -178, -177, -177, -176, 
##     -173, -170, -171, -175, -176, -177, -176, -174, -175, -176, 
##     -177, -179, -179, 179, 179, -179, -179, -179, -180, 179, 
##     179, -179, 180, 180, 179, 179, -177, -176, -177, -177, -178, 
##     179, 179, 179, 179, 180, -180, -178, -178, -178, -179, -179, 
##     180, 179, 179, 178, 178, 178, 178, 179, 179, 179, -180, 179, 
##     178, 178, 178, 178, 179, 179, -179, -179, 178, 177, 176, 
##     176, 177, 178, 178, 179, 180, 180, 180, -180, 180, 180, -179, 
##     -179, -178, -177, -178, -179, -179, -180, -180, -177, -177, 
##     -177, -180, 176, 178, 180, -180, -179, -179, -179, -179, 
##     -180, -180, 178, 178, 178, 177, 176, 176, 176, 176, 175, 
##     175, 174, 174, 173, 173, 172, 171, 170, 170, 172, 173, 175, 
##     176, 175, 175, 176, 177, 178, 178, 177, 177, 177, 176, 178, 
##     177, 175, 175, 175, 175, 175, 175, 174, 174, 174, 173, 173, 
##     171, 170, 170, 170, 170, 174, 174, 174, 174, 174, 174, 176, 
##     177, 177, 177, 177, 177, 178, 177, 177, 177, 177, 177, 176, 
##     176, 176, 175, 175, 169, 168, 167, 168, 170, 173, 175, 177, 
##     180, -179, -177, -176, -176, -176, -175, -175, -174, -171, 
##     -166, -151, -143, -134, -124, -114, -110, -88.2, -78.5, -72.9, 
##     -73.2, -74.7, -75.6, -76.5, -79, -78.5, -76.8, -76.8, -77, 
##     -76.9, -76.7, -76.5, -76.6, -76.7, -76.9, -77.1, -77.2, -77.4, 
##     -77.8, -78.3, -78.7, -86.4, -90.5, -97.3, -101, -104, -106, 
##     -108, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 145, 144, 142, 141, 140, 138, 133, 133, 133, 
##     133, 133, 133, 135, 138, 141, 144, 178, -169, -160, -171, 
##     -179, 143, 136, 136, 137, 138, 139, 139, 139, 140, 141, 141, 
##     142, 146, 148, 158, 166, 177, 179, -178, -177, -176, -175, 
##     -176, -178, 180, 149, 148, 148, 147, 146, 148, 148, 148, 
##     150, 152, 155, 157, 174, 175, -179, 179, 170, 168, 161, 152, 
##     148, 147, 146, 147, 148, 152, 152, 150, 152, 153, 155, 155, 
##     155, 156, 156, 154, 153, 154, 155, 157, 158, 168, 173, 173, 
##     173, 168, 159, 157, 147, 146, 146, 147, 156, 156, 153, 151, 
##     150, 158, 159, 164, 166, 168, 171, 174, 175, 160, 158, 145, 
##     145, 146, 148, 154, 154, 155, 156, 156, 154, 151, 151, 151, 
##     150, 149, 149, 150, 151, 155, 158, 158, 161, 163, 164, 166, 
##     167, 165, 154, 144, 141, 139, 136, 141, 150, 154, 155, 148, 
##     148, 149, 152, 155, 165, 167, 168, 155, 154, 137, 138, 139, 
##     141, 153, 156, 157, 157, 141, 152, 153, 153, 154, 155, 154, 
##     153, 151, 151, 149, 149, 149, 151, 151, 166, 169, 169, 167, 
##     152, 148, 148, 142, 149, 151, 153, 156, 157, 145, 148, 150, 
##     156, 158, 159, 162, 161, 160, 159, 158, 154, 154, 154, 154, 
##     154, 154, 153, 153, 154, 154, 154, 154, 154, 154, 154, 154, 
##     153, 153, 152, 152, 152, 152, 152, 152, 151, 151, 151, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 174, -170, -173, -175, 180, 179, 177, 155, 151, 
##     149, 141, 138, 139, 142, 142, 142, 142, 143, 138, 138, 138, 
##     139, 140, 140, 139, 139, 141, 145, 147, 155, 162, 177, 179, 
##     179, 179, -179, -178, -176, -174, -175, -176, -179, 149, 
##     150, 145, 142, 143, 144, 145, 146, 147, 149, 147, 147, 151, 
##     157, 159, 161, 166, -180, -180, 177, 176, 173, 173, 166, 
##     159, 159, 158, 153, 149, 147, 147, 152, 153, 153, 151, 150, 
##     150, 148, 148, 147, 148, 153, 153, 154, 151, 152, 152, 154, 
##     154, 156, 153, 149, 148, 149, 150, 152, 154, 155, 155, 154, 
##     153, 153, 153, 152, 152, 154, 158, 160, 162, 169, 169, 170, 
##     171, 172, 171, 168, 167, 165, 161, 163, 164, 161, 159, 159, 
##     158, 155, 154, 154, 155, 155, 154, 153, 152, 151, 150, 150, 
##     150, 151, 151, 150, 148, 148, 148, 149, 149, 148, 148, 150, 
##     150, 149, 148, 148, 147, 147, 147, 147, 147, 146, 147, 147, 
##     147, 147, 146, 146, 146, 148, 149, 149, 150, 150, 150, 151, 
##     151, 151, 152, 152, -72.5, -71.7, -70.7, -67.9, -29.3, -7.23, 
##     6.61, 21.5, 27.7, 29.4, 31.1, 33.1, 34.9, 40.8, 38.6, 37, 
##     35.7, 158, 157, 157, 156, 156, 156, 156, 156, 156, 155, 155, 
##     155, 154, 154, 154, 154, 154, 160, 160, 161, 160, 160, 158, 
##     152, 152, 152, 153, 159, 160, 164, 168, 155, 152, 146, 145, 
##     144, 143, 143, 144, 145, 149, 150, 153, 157, 165, 154, 149, 
##     145, 140, 140, 134, 133, 133, 133, 133, 133, 135, 135, 134, 
##     134, 134, 134, 134, 133, -76.8, -76.7, -76.8, -76.8, -76.8, 
##     -76.9, -76.9, -77, -77, -77, -77, -77, -77.1, -77.1, 175, 
##     174, 172, 171, 175, 174, 174, 174, 174, 175, 175, 174, 174, 
##     174, 174, 175, 175, -179, -179, -178, -177, -177, -177, -177, 
##     -176, -177, -178, -180, -179, 166, 165, 158, 158, 162, 161, 
##     158, 162, 162, 163, 164, 166, 169, 170, 169, 166, 167, 168, 
##     166, 158, 162, 166, 168, 173, 173, 171, 174, 175, 167, 165, 
##     165, 157, 154, 152, 151, 151, 152, 164, 173, 175, 176, 177, 
##     -179, -180, 170, 169, 166, 159, 152, 144, 148, 150, 167, 
##     177, -176, -170, -172, -178, -179, 179, 168, 136, 134, 134, 
##     134, 133, 133, 138, 137, 137, 136, 135, 136, 137, 142, 143, 
##     146, 148, 149, 150, 151, 153, 165, 173, 175, -174, -162, 
##     -179, -161, -160, -158, -159, -159, -159, -158, -166, -176, 
##     161, 150, 147, 145, -175, 143, 140, 140, 144, 145, 145, 145, 
##     145, 145, 145, 147, 151, 158, 179, 141, 141, 144, 146, 148, 
##     150, 160, 172, -157, -154, -141, -142, -143, -144, -147, 
##     -148, -147, -146, -144, -144, -145, -145, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), pitch_forearm = c(-63.9, 
##     -63.9, -63.9, -63.8, -63.8, -63.8, -63.9, -64, -64, -64, 
##     -64, -63.9, -63.8, -63.7, -63.7, -63.6, -63.6, -63.7, -63.7, 
##     -63.7, -63.7, -63.9, -63.9, -63.9, -63.9, -63.9, -63.9, -63.9, 
##     -63.8, -63.8, -63.8, -63.8, -63.8, -63.8, -63.8, -63.8, -63.8, 
##     -63.7, -63.7, -63.7, -63.7, -63.6, -63.6, -63.6, -63.8, -63.8, 
##     -63.7, -63.6, -63.6, -63.4, -63.4, -63.3, -63.2, -63.3, -63.3, 
##     -63.3, -63.3, -63.3, -63.3, -63.3, -63.3, -63.3, -63.4, -63.4, 
##     -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.4, -63.4, 
##     -63.4, -63.5, -63.5, -63.6, -63.6, -63.7, -63.7, -63.7, -63.7, 
##     -63.7, -63.8, -63.8, -63.8, -63.7, -63.6, -63.6, -63.7, -63.6, 
##     -63.6, -63.6, -63.6, -63.5, -63.5, -63.5, -63.4, -63.5, -63.5, 
##     -63.5, -1.79, -1.6, -1.53, -0.93, -0.82, -0.73, -0.56, -0.57, 
##     -0.53, -0.53, -0.9, -0.77, -0.69, -0.58, -0.69, -0.72, -0.86, 
##     -0.88, -0.87, -0.84, -0.79, -0.7, -0.62, -0.26, -0.21, -0.23, 
##     -0.27, -0.33, -0.36, -0.36, -0.32, -0.26, -0.25, -0.4, -0.62, 
##     -0.92, -1.03, -0.99, -0.7, -0.47, -0.76, -0.83, -2.26, -2.34, 
##     -2.57, -2.68, -2.72, -2.59, -2.61, -2.17, -2, -1.07, -0.72, 
##     -0.3, -0.19, 0.3, 0.27, 0.13, 1.36, 1.91, 3.35, 3.44, 2.13, 
##     0.78, -0.28, -0.91, -1.2, -1.86, -3.15, -3.12, -2.29, -1.52, 
##     -0.7, 0.59, 1.07, 1.34, 1.84, 2.11, 5.15, 5.05, 4.82, 4.6, 
##     4, 3.58, 3.68, 3.7, 3.58, 3.46, 3.16, 3.01, 3.05, 3.04, 3, 
##     3.17, 3.21, 3.19, 3.37, 3.26, 2.88, 2.98, 3.2, 3.38, 3.42, 
##     3.49, 3.63, 3.6, 4.24, 4.56, 4.95, 5.18, 5.54, 6.15, 6.11, 
##     5.93, 5.81, 5.77, 5.73, 5.67, 5.61, 5.47, 5.12, 4.88, 4.74, 
##     4.67, 4.49, 4.4, 4.33, 4.24, 4.16, 85.2, 86.7, 80.7, 66.6, 
##     61.3, 51.1, 49.3, 48, 56.3, 58.4, 65.5, 83.4, 77.4, 71.8, 
##     65.4, 55.4, 28.9, 15.5, 11.7, 8.18, 7.69, 7.34, 7.93, 9.21, 
##     16.1, 17.8, 23.9, 26.2, 31.3, 36.9, 45.4, 51.3, 59.6, 62.4, 
##     79.6, 79.8, 76.6, 67.9, 64.8, 61.9, 52.1, 44.8, 56.7, 59, 
##     63.8, 70.7, 50.8, 41.4, 34.2, 30.2, 28.2, 16.5, 14.6, 7.42, 
##     4.95, 2.72, 4.9, 5.7, 11.8, 13.8, 20.7, 23.2, 26.1, 28.6, 
##     37.7, 47.4, 57, 72.4, 78.9, 79.8, 47.2, 44.8, 40.2, 32.7, 
##     30.2, 28.2, 22, 17.4, 13.9, 12.8, 8.36, 8.81, 9.34, 10, 14, 
##     17.2, 23.7, 28.3, 43.8, 46.7, 52.9, 56, 71.1, 77.5, 69.4, 
##     52.5, 43.6, 38.5, 40.7, 42.1, 43.9, 52.8, 60.8, 63.5, 66.3, 
##     69.2, 72.2, 76.9, 74.6, 59.7, 57, 52.9, 46.4, 38.2, 36.3, 
##     34.4, 32.1, 30, 26, 16, 14.5, 13.1, 12.1, 12, 12.2, 13, 14.4, 
##     36.8, 53.5, 71.4, 70.3, 53.4, 50.6, 47.7, 42, 44.2, 11, 11.3, 
##     12.4, 17.5, 19.4, 33, 35.4, 54.6, 64.6, 67.4, 67.8, 67.4, 
##     66.7, 65.6, 60.9, 58.5, 51.3, 43.4, 42.8, 12.9, 12.5, 13.5, 
##     17.5, 22, 23.8, 42, 48.5, 66.8, 67.3, 67.3, 63.7, 62, 61.7, 
##     58.8, 57.4, 49.9, 44.9, 57, 61, 63.1, 65, 67.2, 63.3, 58.5, 
##     46.1, 41.3, 29.2, 26, 23, 21.7, 15.7, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20.4, 19.9, 18.9, 
##     8.95, 6.59, 5.18, 3.81, 1.34, 1.46, 4.32, 6.23, 9.11, 12.7, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, -69.2, -68.7, -68.4, -68.1, -68.1, -67.7, 
##     -67.6, -67.5, -67.4, -67.2, -67, -66.9, -66.7, -66.5, -66.5, 
##     -66.3, -66.2, -66.1, -66, -65.7, -65.5, -64.8, -64.5, -64.3, 
##     -64.2, -64.1, -63.9, -63.8, -63.7, -62.9, -62.8, -62.1, -62, 
##     -61.9, -61.9, -61.4, -61, -56.9, -56.8, -56.7, -56.4, -56.3, 
##     -56.2, -55.7, -55.4, -55.1, -54.7, -54.5, -54.4, -54.3, -51.9, 
##     -51.5, -51.2, -51.2, -51.2, -51.3, -51.3, -50.9, -50, -49.4, 
##     -48.9, -48.6, -48.6, -48.5, -48.2, -47.3, -47.2, -46.9, -46.8, 
##     -47.2, -47.7, -50.2, -54.2, -55, -26.2, -22.3, -14.8, -10.9, 
##     17.9, 20.6, 26.2, 27.2, 27, 25.7, 24.3, 10.3, 7.97, 1.56, 
##     -0.53, -2.61, -9.51, -19.5, -21.8, -26.5, -30.7, -40.2, -44.7, 
##     -45.2, -45.6, -45.2, -44.5, -42.5, -42.2, -41.9, -41.5, -40.9, 
##     -38, -35.6, -35.5, -33.7, -33.1, -32.6, -32, -34, -34.7, 
##     -35.6, -40.4, -42.9, -46.2, -47.7, -45.8, -38.4, -30.3, -24, 
##     -20.9, -17.4, -10.4, 2.16, 7.91, 10.9, 16.1, 21.8, 27.2, 
##     32.3, -19.1, -18.8, -18.3, -17.7, -17.8, -18.4, -19.5, -22, 
##     -23.2, -24.6, -26.1, -30.4, -31.6, -35.9, -36.4, -35.8, -19.6, 
##     -9.83, -4.44, -1.96, 9.4, 11.2, 14.7, 14.1, 12.6, 12, 9.51, 
##     5.88, 3.6, 0.39, -13.7, -20.4, -21.3, -23, -23.4, -2.94, 
##     -2.65, -2.65, -3.65, -9.14, -12.4, -14, -15.6, -23.6, -24.6, 
##     -26.9, -26.2, -23.5, -19.6, -17.6, 3.33, 6.96, 10.1, 8.49, 
##     6.2, 3.41, 1.9, -3.93, -9.6, -16.7, -14.7, -7.57, -6.37, 
##     -5.49, -3.68, -1.39, 0.48, -10.3, -10.4, -9.98, -7.54, -7, 
##     -6.48, -3.92, -0.34, 0.22, 2.6, 2.04, 3.73, 5.24, 6.12, 6.07, 
##     5.24, -10.5, -12.3, -18, -19.2, -19.2, -18.2, -12.6, -7.38, 
##     2.32, 2.66, 3.05, 3.18, 2.79, 0.86, 0.1, -1.69, -6.87, -7.07, 
##     -5.93, -1.75, 1.12, 4.43, 5.23, 5.59, 6.36, 6.68, 7.13, 7.73, 
##     9.1, 11.2, 11.7, 12.4, 14, 14.3, 14.2, 14.4, 14.6, 14.7, 
##     14.9, 14.9, 14.5, 13.3, 11.5, 7.82, 6.63, 1.1, -1.33, -2.62, 
##     -4.22, -8.84, -13.7, -13.8, -8.36, -6.52, -2.09, 0.29, 3.45, 
##     3.33, -0.18, -3.02, -4.1, -4.63, -6.76, -6.96, -7.14, -7.14, 
##     12.3, 13.5, 13.2, 12.7, 6.82, 1.08, -3.72, -4.79, -5.78, 
##     -7.33, -8.27, -7.11, -6.34, -5.58, -4, -1.15, -0.05, 4.52, 
##     5.96, 1.3, 0.16, -0.26, 1.41, 10.2, 10.7, 17.5, 17, 16.2, 
##     16.2, 16.6, 16.6, 16.2, 15.9, 15.3, 15.1, 14.9, 14.9, 14.9, 
##     13.9, 9.52, 3.83, 2.79, 2.15, 1.86, 2.08, 3.68, 4.35, 6.92, 
##     10, 11.2, 14.6, 14.8, 13.2, 12.2, 13.5, 13.1, 13, 18.5, 21.8, 
##     24.8, 25.3, 26.7, 26.9, 26.7, 26.4, 26.4, 27, 28.3, 25.1, 
##     24.7, 22, 21.3, 20.5, 12, 10.9, 10.5, 10.7, 10.8, 10.4, 9.69, 
##     9.41, 10.4, 10.9, 11.6, 14.8, 15.5, 17.6, 19.4, 19.2, 19, 
##     -64.2, -64.2, -64.5, -65.7, -65.4, -64.5, -65.1, -65.1, -64.9, 
##     -64.7, -64.3, -64.1, -63.5, -62.9, -63, -62.9, -62.8, -62.9, 
##     -63, -63, -63.2, -62.8, -62.7, -62.7, -62.7, -62.7, -62.6, 
##     -62.5, -62.5, -62.6, -62.7, -62.7, -62.6, -62.6, -62.5, -62.5, 
##     -62.5, -62.2, -62.2, -62.2, -62.2, -62, -61.9, -61.9, -62, 
##     -61.8, -61.8, -61.7, -61.6, -61.6, -61.7, -61.6, -61.3, -61.3, 
##     -61.2, -61.1, -61.1, -61.4, -61.5, -61.6, -61.7, -61.4, -61.3, 
##     -61.2, -61.2, -61.1, -61, -60.9, -60.9, -60.9, -60.9, -60.9, 
##     -60.8, -60.8, -60.8, -60.8, -60.7, -60.7, -60.6, -60.6, -60.5, 
##     -60.5, -60.5, -60.7, -60.7, -60.7, -60.7, -60.6, -60.5, -60.4, 
##     -60.3, -60.2, -59.6, -59.5, -59.4, -59.5, -59.4, -59.5, -59.6, 
##     -59.6, -59.6, -59.6, -59.6, -59.2, -58.8, -58.8, -58.7, -58.6, 
##     -58.5, -58.3, -58.3, -58.3, -58.2, -58, -58, -57.9, -57.9, 
##     -58, -58.1, -57.9, -57.9, -57.4, -57.4, -57.5, -57.6, -57.6, 
##     -57.6, -57.5, -57.5, -57.5, -57.4, -56.7, -56.5, -56.6, -56.9, 
##     -56.8, -56.6, -56.5, -56.5, -56.5, -55.9, -56.1, -56.1, -55.7, 
##     -55.5, -55.5, -55.4, -55.4, -55.3, -55.2, -55.1, -54.7, -53.9, 
##     -53.3, -53.4, -53.8, -53.7, -53.9, -53.8, -53.5, -53.4, -52.6, 
##     -52.3, -52.2, -52, -51.9, -51.8, -51.8, -52.1, -52.2, -52.2, 
##     -51.4, -51.4, -51.5, -51.5, -51.5, -51.4, -51.3, -51.3, -51, 
##     -50.7, -50.3, -50.3, -50.2, -50.3, -50.7, -50.8, -51.1, -51.2, 
##     -51.3, -51.3, -51.2, -51, -50.5, -50.4, -50.4, -50.4, -50.4, 
##     -48.5, -48.5, -48.7, -48.8, -49.2, -49.3, -49.3, -49.1, -48.6, 
##     -48.6, -48.9, -48.9, -48.8, -48.7, -63.4, -63.4, -63.4, -63.4, 
##     -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.4, -63.6, -63.6, 
##     -63.7, -63.7, -63.8, -63.7, -63.6, -63.6, -63.6, -63.6, -63.6, 
##     -63.6, -63.6, -63.6, -63.6, -63.6, -63.6, -63.6, -63.5, -63.5, 
##     -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.3, -63.3, -63.5, 
##     -63.5, -63.6, -63.6, -63.7, -63.7, -63.7, -63.8, -63.8, -63.9, 
##     -64, -63.9, -63.9, -63.9, -64, -64, -64, -64.1, -64.1, -64.1, 
##     -64.2, -64.2, -64.3, -64.3, -64.3, -64.3, -64, -64, -64, 
##     -63.9, -64.1, -64.1, -64.1, -64, -63.9, -63.9, -63.9, -63.9, 
##     -63.9, -63.7, -63.6, -63.6, -63.8, -63.8, -63.6, -63.7, -63.7, 
##     -63.7, -63.7, -63.8, -63.8, -63.7, -63.7, -63.7, -63.7, -63.7, 
##     -63.4, -63.4, -63.5, -63.4, -63.4, -63.3, -63.3, -63.3, -63.2, 
##     -63.1, -63.1, -63.1, -63.2, -63.1, -63.1, -63.1, -63, -63, 
##     -63, -63, -63, -62.9, -62.8, -62.9, -62.9, -60.7, -58.4, 
##     -53.2, -51.9, -49.3, -47.8, -46.4, -45.1, -39.1, -34, -32, 
##     -30.1, -28.3, -17.5, -10.7, 4.22, 6.74, 20.4, 25, 35.3, 39.7, 
##     40.8, 43.8, 43.7, 42.5, 41.5, 42.1, 42.5, 42.7, 40.6, 39.8, 
##     36.6, 35.8, 35, 33.4, 28.4, 24.2, 22.5, 11.3, 6.86, -15.7, 
##     -28.2, -36.8, -46, -47, -52.1, -54.1, -55.6, -58.5, -58.9, 
##     -59.2, -59.3, -58.2, -56.9, -53.3, -52, -50.9, -33.3, -31, 
##     -26, -23.3, -15.1, 6.92, 13.7, 16.2, 21, 40, 37.2, 36.6, 
##     35.6, 34.3, 33.6, 32.9, 31, 28.9, 26.3, 24.5, 21.6, 13, 6.69, 
##     -0.43, -5.54, -27, -28.9, -36.5, -46.2, -55.7, -51, -49.7, 
##     -44.9, -40.5, -18.7, 3.79, 11.7, 20.3, 31.1, 33.3, 42.5, 
##     42.7, 42.6, 40, 40.7, 38.1, 36.7, 34.3, 34, 29.5, 26.9, 16.9, 
##     13.8, -7.84, -19.3, -33.7, -53.9, -56.7, -53.9, -49.2, -45.4, 
##     -43.1, -32.9, -30.1, -16.4, -8.26, 7.34, 19.9, 28.4, 31.7, 
##     36.9, 43, 45.8, 50.1, 50.1, 47.8, 47.2, 47.4, 45.1, 32.5, 
##     16.7, 3.29, -11, 49.8, 47.4, 48.8, 53.7, 53.1, 50.5, 45.6, 
##     42.8, 33.8, 23, 15.2, 5.6, -0.12, -5.99, -11.6, -28.1, -34.2, 
##     -36.9, -51.6, -54.6, -55.1, -55.4, -53.1, -49.5, -42.1, -35.6, 
##     -16, -3.85, 0.05, 36.6, 43.5, 46.6, 51, 53.7, 55.8, 58.3, 
##     59.6, 53.1, 53, 53.5, 57, 58.5, 59.7, 60.6, 56.5, 52.9, 47.3, 
##     43.7, 39.8, 22.5, 6.91, -6.36, -18.8, -32.2, -37.8, -39.2, 
##     -40.5, -42.5, -44.8, -43.3, -40.5, -22.8, -1.44, 2.27, 14.8, 
##     31.8, 35.2, 39.3, 51.4, 58.6, 68, 69.5, 57.1, 57.6, 58.6, 
##     61.8, 71.8, 72.3, 71.1, 64.8, 48.4, 37, 33.6, 19.9, 14.3, 
##     8.61, 5.79, 2.92, -2.33, -7.48, -9.99, -15.1, -22.3, -26.7, 
##     -30.5, -37.7, -38.6, -37.9, -36.9, -31.7, -29.2, -23, 35, 
##     56.2, 59.5, 75.8, 83.5, 78.6, 71.5, 71.1, 73.3, 76.7, 78.8, 
##     80.9, 72.4, -48.5, -48.4, -48.3, -48.3, -48.4, -48.1, -47.9, 
##     -47.8, -48, -47.8, -48, -48.2, -47.8, -47.8, -48, -48.1, 
##     -48, -47.5, -47.3, -47.3, -47.5, -47.6, -47.7, -47.3, -47.3, 
##     -47.7, -47.8, -47.7, -47.5, -46.6, -46.8, -47, -47.1, -47, 
##     -47.2, -47.1, -46.8, -46.4, -46.3, -46.2, -46.2, -46.2, -46.2, 
##     -46.1, -46, -45.9, -45.7, -45.6, -45.6, -45.5, -45.4, -45.3, 
##     -45.3, -45.3, -45.3, -45.3, -45.2, -45, -44.7, -44.7, -44.6, 
##     -44.6, -44.5, -44.4, -44.4, -44.4, -44, -43.9, -44, -44.3, 
##     -44.1, -44.1, -44, -43.7, -43.7, -43.7, -43.6, -43.5, -43.5, 
##     -43.5, -43.4, -43.4, -43.3, -43.2, -43.2, -43.2, -43.2, -43.1, 
##     -43.1, -43.1, -42.9, -43, -42.9, -42.9, -42.9, -42.8, -42.8, 
##     -42.8, -42.8, -42.9, -42.9, -42.9, -42.8, -42.6, -42.3, -42.2, 
##     -42.3, -41.7, -41.5, -41.3, -41.2, -41.2, -41.2, -41.8, -42, 
##     -42.3, -42.1, -41.3, -41.3, -41, -41.1, -41.6, -41.7, -41.5, 
##     -41.3, -40.5, -40.5, -40.3, -40.4, -40.5, -40.3, -40.4, -40.5, 
##     -40.6, -39.7, -39.4, -39.3, -39.2, -39.1, -38.9, -38.9, -38.8, 
##     -38.7, -38.6, -38.2, -38.2, -38.4, -38.3, -38.1, -37.8, -37.7, 
##     -37.7, -37.3, -37.1, -37.2, -37.3, -37.3, -37.3, -37.4, -37.2, 
##     -37, -37, -37, -37.1, -37.1, -37.1, -37.1, -37.1, -37, -36.9, 
##     -36.9, -36.8, -36.7, -36.5, -36.5, -36.7, -36.6, -36.5, -36.1, 
##     -36, -35.9, -35.9, -35.9, -35.8, -35.7, -35.7, -35.6, -35.5, 
##     -35.3, -35, -35.1, -35, -34.8, -33, -30.7, -26.5, -20.5, 
##     -17.1, -13.9, -5.22, 0.29, 5.39, 35, 51.2, 53.8, 56.2, 63.5, 
##     66.9, 61.8, 59.8, 67.2, 69.4, 70.4, 67.9, 62.3, 50.3, 43.3, 
##     25.7, 22.2, 14.1, 11.2, 8.75, -9.74, -15.8, -18.6, -25.9, 
##     -27.8, -29.6, -34.9, -31.5, -29.9, -27.8, -25.1, -7.21, 20.1, 
##     24.9, 50.2, 57.3, 63.8, 66.8, 72.6, 74.4, 75.9, 76.2, 75.9, 
##     64.5, 65.6, 71.6, 73.1, 74.4, 72.9, 70, 53.2, 27.7, 25, 15.5, 
##     6.21, 3.35, -15.9, -35.8, -35.7, -34.3, -32.6, -28.2, -22.3, 
##     -14.6, -1.24, 8.58, 18, 49.5, 74.5, 77.2, 82.3, 67.9, 81.3, 
##     80.7, 76.8, 30, 24.5, 20.2, 10.3, 0.79, -9.9, -14, -17.6, 
##     -33.2, -36, -37, -36.8, -32.8, 2.46, 18.7, 49, 66.7, 70.3, 
##     81.8, 75.3, 73.1, 72.8, 73.1, 79.2, 84, 88.7, 87, 77.8, 68.3, 
##     59.5, 40.5, 28.8, 22.9, 4.93, -9.23, -35.4, -36.1, -31.8, 
##     -19.2, 2.39, 12.4, 17.6, 47.4, 75.4, 76.7, 77.9, 78.1, 63.1, 
##     13.5, 4.88, -14.6, -18.1, -24.4, -37, -37.2, -33.2, -32, 
##     -22.9, -19.8, -13.1, 10.9, 15, 31.9, 39.6, 50.1, 60, 63.1, 
##     71.3, 75.3, 77.6, 76.8, 73.7, 71.7, 68.9, 25.9, 21.8, 20.6, 
##     -4.59, -22.4, -28.3, -36, -37.2, -37.6, -37.9, -37.7, -33.1, 
##     -31.8, -25.2, -15.7, 8, 12.4, 20.5, 24.8, 33.4, 36.8, 39.9, 
##     42.8, 56.2, 58.8, 70.7, 69.3, 67.8, 50.7, 46.9, 36.2, 32, 
##     -1.11, -21.2, -33.1, -35.9, -34.8, -34.3, -32.3, -23.4, -20.9, 
##     -6.72, -3.58, 0.26, 4.05, 16.1, 31.8, 35.1, 45.4, 48.7, 58.8, 
##     60.3, 61.8, 63.3, 68.1, 62.9, 54.6, 36.3, 21.9, 20, 10.6, 
##     -9.37, -12.1, -26.8, -28.8, -30.5, -33, -33.6, -34.8, -34.1, 
##     -33.7, -32.1, -30.9, -27.1, -19.6, 9.63, 18.2, 22.3, 26.3, 
##     46.6, 49.2, 54.3, 61.3, 62.5, 63.7, 63, 52, 50.3, 38, 26.3, 
##     8.02, 2.62, -5.47, -8.37, -20.1, -31.4, -32.1, -33.4, -35.8, 
##     -36.5, -36.7, -36.2, -32.8, -31, -0.45, 48.5, 57.1, 58.2, 
##     55.9, 54, 52.4, 32, 28.1, 22.6, 13.7, 0, -56.9, -57.7, -72.4, 
##     -72.1, -71.4, -69.5, -69.5, -69.6, -69.6, -69.2, -69.1, -69.1, 
##     -69.1, -69.1, -69.5, -69.5, -69.5, -69.4, -69.3, -69.4, -69.4, 
##     -69.4, -69.4, -69.5, -69.4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2.59, -2.59, -2.57, 
##     -2.57, -2.57, -2.55, -2.55, -2.58, -2.34, -2.28, -2.2, -2.21, 
##     -2.18, -2.18, -1.83, -1.81, -1.93, -1.93, -2, -2.01, -1.95, 
##     -1.81, -1.87, -1.79, -2.03, -2.07, -2.62, -2.64, -2.86, -3.11, 
##     -3.87, -4.29, -3.97, -3.67, -3.38, -2.87, -2.13, -1.77, -0.99, 
##     -0.92, -0.82, -0.77, -0.77, -1.19, -1.46, -1.62, -2.03, -2.13, 
##     -2.53, -2.53, -2.34, -1.96, -1.89, -1.87, -1.85, -1.81, -1.8, 
##     -1.9, -1.81, -1.67, -1.6, -1.65, -1.75, -1.93, -2.2, -2.49, 
##     -2.78, -3.37, -3.53, -3.97, -4.46, -4.54, -4.56, -3.28, -3.12, 
##     -2.97, -2.85, -2.78, -2.81, -2.51, -2.38, -1.29, -1.24, -1.66, 
##     -1.76, -2.17, -3.23, -3.8, -3.81, -3.78, -3.66, -4.26, -4.45, 
##     -4.49, -4.43, -4.41, -4.43, -4.43, -4.38, -4.38, -4.33, -3.8, 
##     -3.69, -3.63, -3.57, -2.58, 9.32, 17.7, 18.8, 23.3, 23.9, 
##     24.3, 24.5, 24.5, 24.2, 22.1, 21.5, 20.8, 20.7, 20.7, 20.7, 
##     20.1, 19.7, 18.5, 19.3, 19.3, 18.9, 18.8, 18.6, 18.5, 18.4, 
##     18, 17.3, 17.2, 17.3, 17.4, 17.4, 17.2, 17.1, 16.8, 16.3, 
##     16.2, 16.2, 16.1, 16, 15.5, 15.1, 15.7, 16.4, 16.8, 17.2, 
##     18.1, 18.6, 19.4, 19.4, 19.5, 19.8, 19.8, 19.7, 18.8, 17.2, 
##     16.1, 15.3, 8.63, 7.62, 6.64, 7.26, 6.61, 4.94, 3.96, 3.51, 
##     3.2, 4.02, 4.56, 5.73, 7.23, 6.36, 5.84, 5.71, 7.74, 4.75, 
##     4.79, 4.86, 5.1, 5.04, 5.05, 5.13, 5.21, 5.91, 7.34, 9.11, 
##     10.6, 12.5, 15.6, 18.6, 22.4, 23.2, 22.8, 22.7, 21.7, 20.2, 
##     19.1, 11.9, 9.97, 7.86, 5.64, 0.36, -0.63, -0.55, 0.23, 2.93, 
##     4.77, 5.54, 7.82, 9.96, 10.9, 14.6, 16.2, 22.8, 23.8, 25.6, 
##     23, 11.1, 9.29, 13.9, 14.7, 17.3, 18.5, 19.8, 22.7, 23.8, 
##     21.1, 20.1, 17.2, 14.1, 13, 8.95, 5.95, 1.4, 2.39, 3.56, 
##     4.53, 5.18, 5.87, 6.59, 7.15, 8.43, 10.6, 11.3, 12.2, 12.7, 
##     14.5, 16.1, 17.9, 19.4, 18.8, 18.2, 17.4, 17.2, 16.3, 15, 
##     8.49, 7.99, 8.3, 10.6, 17.2, 17.2, 18.2, 18.6, 19, 14.2, 
##     13.3, 12.7, 9.13, 22.6, 22.4, 22.2, 20.7, 16.9, 16.4, 13.8, 
##     13.3, 13.4, 14.1, 20.1, 20.7, 21.9, 22.4, 22.8, 23.8, 25.8, 
##     25, 22.5, 22, 18.2, 16.6, 15.4, 7.48, 3.86, 0.7, 0.86, 1.05, 
##     3.91, 9.22, 11.8, 15.7, 19, 20.1, 21.8, 22.4, 23.5, 23.8, 
##     24, 18, 17.8, 16, 14.5, 15, 19.3, 21.9, 23.4, 25.3, 22, 18.7, 
##     13.3, 2.89, 1.81, 0.63, -1.1, -1.56, -2.53, 2.91, 5.47, 8.14, 
##     11.7, 14.2, 19.8, 22.2, 24.5, 25.7, 27.1, 30.7, 31.5, 32.5, 
##     33.2, 28.3, 26.5, 20.6, 23.6, 23.9, 24.3, 24.9, 27.3, 32.2, 
##     33.1, 31.6, 30.7, 30.2, 29.5, 28, 24.8, 23.9, 21.8, 7.97, 
##     6.95, 5.95, 4.13, 2, 0.92, -1.39, -1.4, 1.3, 1.88, 2.64, 
##     3.54, 5.46, 13.2, 14.4, 16.7, 24.4, 25.7, 31.4, 34.5, 34.7, 
##     35.4, 35.7, 36.8, 37, 35.1, 29.2, 27.6, 26.8, 26, 22.6, 21.2, 
##     20.2, 19.2, 18.1, 18, 18.2, 18.3, 18.8, 22.8, 23.8, 28.8, 
##     31.5, 34.5, 34.9, 35.3, 36.4, 37.1, 36.8, 33.5, 32.2, 23, 
##     25.3, 39.2, 38.2, 35.4, 31.9, 27.6, 26.4, 19.6, 18.8, 16.9, 
##     16.5, 20.4, 21.3, 22.2, 26, 27.9, 28.7, 30.6, 32.2, 33.2, 
##     35.4, 36.4, 37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10.2, 7.5, 5.46, 
##     4.43, 3.56, 2.07, 0.89, 1.96, 3.14, 5.27, 8.68, 13.8, 3.25, 
##     2.46, 0.86, 0.3, 0.65, 1, 3.01, 9.14, 11.8, 13.9, 14.8, 15.7, 
##     16.5, 17.1, 20.1, 21.2, 21.6, 22.5, 22.7, 22.8, 22.9, 8.66, 
##     8.24, 6.8, 6.36, 5.77, 5.71, 4.93, 3.75, 4.87, 5.16, 5.19, 
##     4.89, 12.2, 12, 12, 11.9, 11.8, 11.5, 11.2, 11.1, 11, 10.6, 
##     10.1, 9.74, 9.62, 9.4, -3.61, -3.62, -5.14, -5.38, -6.28, 
##     -6.68, -7.06, -7.7, -7.76, -7.7, -7.4, -1.64, -1.65, -1.65, 
##     -1.64, -1.64, -1.65, -1.66, -1.3, -1.47, -1.45, -1.5, -1.79, 
##     -1.87, -40.3, -40.3, -40.4, -40.4, -40.4, -40.4, -40.6, -40.6, 
##     -40.7, -40.7, -40.8, -40.7, -40.7, -40.6, -40.6, -40.5, -40.2, 
##     -40, -55.1, -55.2, -55.3, -55.3, -55.2, -55.3, -55.1, -55, 
##     -54.2, -56.2, -56, -55.4, -54.6, -54.1, -53.9, -53, -53.9, 
##     -54.3, -6.96, -6.54, -4.25, -3.6, 8.21, 14.7, 11.2, -20.9, 
##     -20, -18.7, -17.8, -7.43, -1.9, -0.39, 5.78, 6.31, 2.82, 
##     0.6, -6.7, -7.61, 4.78, 6.61, 6.72, 6.53, 6.28, 6.02, 5.28, 
##     4.86, 4.76, 3.97, 3.32, 2.35, 1.1, -8.69, -9.92, -15.2, -13.9, 
##     -7.45, -9.03, -9.68, -10.1, -9.76, -7.96, -6.59, -5.96, -4.53, 
##     -4.31, -4.1, -4, -3.95, -3.69, 5.32, 2.9, -15.1, -29.5, -34.2, 
##     -35.4, -36.4, -37.4, -37.5, -37.2, -37, -36.5, -36.1, -20.7, 
##     -19.2, -60.7, -60.6, -60.6, -60.5, -60.5, -60.4, -60.3, -60.1, 
##     -59.6, -59.4, -59.2, -59.1, -59, -58.6, -58.6, -58.3, -58.1, 
##     -58.1, -58, -57.5, -62.2, -61.6, -61.5, -65.4, -0.14, -67.3, 
##     -67.4, -67.3, -66.6, -67.3, -68, -68.8, -70.6, -71.6, -72.5, 
##     -72.5, -63.9, -64.2, -64.4, -64.6, -65.8, -66, -66.1, -66.3, 
##     -66.7, -66.8, -67, -67, -66.9, -66.7, -66.5, -65.5, -64.1, 
##     -63.8, -63.3, -59.8, -60.4, -61, -61.5, -61.9, -62.5, -63, 
##     -63.3, -63.3, -63.3, -63.3, -63.6, 42.9, 37.4, 32.7, 30.2, 
##     29.1, 20.3, 13.6, 13.2, 13.2, 19.5, 21.2, 44.6, 54.2, 56.3, 
##     45.3, 58.5, 67, 70.6, 68.6, 62.6, 60.1, 53, 50.5, 31.3, 16.1, 
##     65.6, 68.4, 65.3, 60.9, 45.1, 32.1, 30.1, 20.6, 13.7, 77.4, 
##     68.7, 53.9, 50.7, 42.7, 53.4, 72, 69.6, 4.67, 5.07, 5.59, 
##     5.84, 7.05, 8.98, 9.63, 20.4, 34.4, 36.5, 49, 57, 62.6, -1.87, 
##     -1.83, -28, -53.5, -43.1, -37.7, -31.1, -27.4, -7.13, -2.99, 
##     4.62, 8.34, 15.3, 23.1, 30.4, 38, 41.6, 43.1, 13.4, 13.2, 
##     14.3, 14.8, 20.5, 25.2, 37.8, 48.7, 57.5, 59.3, 60.9, 63, 
##     63.5, 62.4, 43, 42.9, 44.6, 57.5, 62.5, 66.8, 64.8, 58.9, 
##     44.4, 38.9, 33.5, 31.5, 23.5, 18.1, 16.9, 14.4, 14.1, 14.6, 
##     16.1, 16.9, 23.1, 35, 39.3, 47.5, 51.3, 56.7, 56.7, 51.3, 
##     49.9, 41.4, 41.3, 41.9, 44.8, 46.6, 4.68, 4.61, 4.73, 5.77, 
##     6.14, 6.31, 6.54, 6.77, 6.96, 7.19, 7.26, 7.2, 7.24, 7.21, 
##     7.31, 7.32, 7.23, 7.27, 7.94, 8.83, 9.29, 10.1, 11.7, 12.7, 
##     17.3, 19.2, 25.7, 35.2, 44.7, 57.6, 57, 56.1, 54.8, 49, 44.2, 
##     29.9, 30, 45.8, 48.5, 70.2, 70.8, 62.3, 46.2, 36.4, 33.2, 
##     20.1, 2.11, -1, -1.95, -2.1, -1.93, -1.44, -0.75, 1.17, 2.24, 
##     15.6, 57, 56.9, 42.3, 39, 51.2, 53.7, 62.7, 64.7, 70.2, 54.6, 
##     39.8, 37.2, 33.9, 11.7, 2.67, -0.9, -5.78, -4.09, -3, 5.01, 
##     28.9, 43.1, 51.3, 57.9, 39.5, 36.8, 41.4, 46.5, 58.9, 60.9, 
##     59.6, 52.4, 49.1, 46.3, 40, 22.8, 62.7, 64.8, 55.1, 48.6, 
##     42.8, 42.9, 61.5, 68.7, 69.9, 70.7, 51.1, 26.4, 13, 5.74, 
##     3.63, -1.44, -11.5, -13.2, -10.9, -2.26, 1.85, 7.43, 10.2, 
##     22.4, 28.4, 44.5, 53.4, 57.7, 45.3, 40.2, 37.2, 50, 55.5, 
##     58.3, 67, 54.2, 39.5, 29.6, 20.2, 8.99, -4.08, -9.5, -8.06, 
##     -6.92, -6.13, -5.07, -3.89, 11.5, 14.2, 24.5, 29.9, 50.3, 
##     36.3, 65, 9.71, 39.4, 47.5, 52.8, 53.4, 52.7, 51.3, 48.6, 
##     39, 36.5, 45.7, 48.9, 52.8, 54.4, 55.7, 45.5, 38.7, 35.3, 
##     32.6, 29.3, 10.3, 5.62, 2.23, 0.81, -2.03, -6.08, -9.3, -10.1, 
##     -11.6, -12.6, -7.41, -4.71, 3.94, 31.5, 34.7, 42.8, 45.5, 
##     49.2, 51, 50.8, 47.4, 34.8, 34.5, 35.2, 41, 48.1, 52.6, 57.5, 
##     56.5, 53.7, 50.9, 44.6, 32.3, 29.9, 69.1, 19.2, 20.3, 19.9, 
##     19.2, 19.1, 19.4, 24.5, 24.6, 24.6, 24.6, 25.3, 25.7, 25.7, 
##     25.4, 25.1, 24.4, 24, 23, 22.5, 22.2, 21.8, 21.2, 20.5, 19.7, 
##     12.1, 10, 6.96, 6.08, 4.9, 4.58, 4.33, 3.99, 3.58, 3.38, 
##     2.49, 1.88, 0.5, 2.02, 2.33, 1.56, 1.75, 4.26, 6, 6.94, 11.1, 
##     12.8, 19.2, 21.8, 23, 24, 24.7, 25.3, 26.8, 28.3, 28.8, 27.9, 
##     27.2, 26.9, 25.2, 24.3, 23.3, 22.4, 18.9, 18.5, 18.5, 18.6, 
##     19.2, 20.4, 20.3, 19.8, 19.7, 19.7, 16.3, 11.7, 9.59, 7.58, 
##     6.47, 5.08, 4.95, 4.87, 5.53, 5.9, 6.24, 7.55, 8.06, 8.5, 
##     19.1, 16.6, 15.3, 15.5, 15.9, 16.1, 16.1, 16.1, 16.1, 16.5, 
##     17.8, 23.5, 23.7, 22, 21.2, 19.8, 18.4, 17.7, 16.9, 14.3, 
##     11.2, 10.8, 9.79, 9.51, 9.07, 8.97, 8.89, 8.87, 6.97, 8.45, 
##     11.1, 13.5, 14.4, 15.7, 17.2, 17.5, 19.3, 23.2, 25.9, 24.5, 
##     23.6, 21.5, 19.8, 19.3, 16.9, 15.5, 12.6, 12.8, 13.5, 15.2, 
##     14.9, 15.2, 14.8, 14.2, 13.7, 11.3, 14.7, 15.5, 16.7, 17.1, 
##     17.4, 17.7, 18.1, 18, 17.8, 20.5, 21.2, 20.9, 18.7, 15.9, 
##     15.6, 15.4, 15.1, 14.6, 13.7, 12.8, 12.5, 13, 14.9, 15, 15, 
##     15.1, 15.6, 15.9, 17, 17.1, 17.2, 17.7, 18, 18.7, 19.4, 19.6, 
##     18, 16.7, 17.1, 17.7, 16.9, 15.9, 18.5, 18.7, 18.6, 18.2, 
##     18, 18.7, 20.2, 23.4, 23.6, 22.6, 21.7, 17, 14.9, 14.7, 14.7, 
##     12.8, 12.1, 10.2, 7.74, 7.2, 7.2, 7.39, 7.75, 11.9, 12.7, 
##     12.8, 15.6, 19.8, 22.7, 22.8, 23.4, 23.5, 23.5, 23.3, 22.4, 
##     21.9, 21.4, 18.1, 15.8, 16.4, 17.1, 18.7, 19.1, 19.2, 19.3, 
##     19.1, 17.7, 12.6, 13.9, 21.4, 20.9, 20.4, 19.6, 19.1, 18.5, 
##     17.5, 17.2, 16.5, 17, 17.6, 19.1, 22.2, 23.2, 22.5, 21.1, 
##     19.6, 18.7, 15.2, 14.4, 12, 12.2, 14.1, 16.9, 11, 10.4, 9.81, 
##     9.37, 12, 13, 13.1, 13, 13, 12.9, 13, 15.7, 16.9, 17.3, 18.3, 
##     18.3, 18.6, 18.9, 19.7, 20.9, 22.3, 65.4, 43.7, 22.8, 20, 
##     11.3, 8.43, 2.75, -2.98, -7.94, -15.4, -20, -35.7, -36, -35.3, 
##     -34.5, -25.3, -22.4, -19.4, -12.1, -4.19, 0.27, 4.18, 17.4, 
##     39.2, 43.5, 51.8, 55.8, 66.7, 80.1, 85.7, 83.3, 65.6, 87.5, 
##     46.6, 39.6, 25.5, 15.5, 12.1, 2.73, -3.04, -5.59, -8.29, 
##     -16.1, -21.3, -28, -31.3, -32.8, -33, -31.6, -29.8, -22, 
##     -19, 8.13, 11.9, 33.2, 79.5, 85.8, 63.5, 62.6, 65.5, 68, 
##     69.4, 71.1, 73.1, 82.9, 85.4, 82.2, 72.4, 66.9, 62.8, 47.6, 
##     39.7, 27.9, 14.4, -24.8, -24.9, -24.9, -25, -25.3, -25.7, 
##     -26, -26.1, -26.2, -26.3, -26.3, -26.2, -26.1, -26, -26, 
##     -26.1, -26.2, -26.1, -26.1, -26.1, -25.9, -25.2, -24.9, -25, 
##     -25, -25, -24.8, -19.2, 42.8, 46.4, 53.9, 69.1, 79.6, 81.9, 
##     82, 76.1, 71.9, 59.3, 38, 10.6, 3.94, 0.59, -11.6, -19.3, 
##     -20.2, -21.6, -22.2, -18.1, -16, -13.5, 42.3, 64.3, 66.7, 
##     66.4, 45.2, 23.6, 20.2, 20.1, 22.6, 26.2, 30.3, 40.2, 55.5, 
##     69, 59.7, 56.2, 46, 42.7, 39.1, 32.8, 30, 12.7, 7.82, -3.49, 
##     -7.46, -8.82, -8.46, -6.66, -3.91, 2.07, 14.2, 20.3, 38.8, 
##     43.7, 44.8, 45, 44.4, 5.27, -2.05, -3.24, -5.03, -4.13, 1.39, 
##     5.43, 7.43, 12.4, 24.2, 27.6, 30.8, 42.6, 47.6, 47.5, 41.1, 
##     37.1, 34.3, 31.9, 20.5, 20.4, 23.2, 31.1, 35.5, 37.2, 8.54, 
##     27.3, 34, 41.8, 43.4, 44.9, 45, 40.1, 38.6, 31.8, 34, 35.9, 
##     46.2, 52.8, 51.5, 48.1, 40.4, 18.8, 16.7, 4.66, -0.33, -1.76, 
##     -3.92, -3.3, 0.02, 35.5, 38.9, 41.8, 41.5, 39.3, 33.8, 27.5, 
##     -6.1, -6.36, -5.85, -0.96, 3.7, 9.46, 24.6, 27.2, 34.5, 36.7, 
##     40.8, 43.4, 43.8, 42.8, 37.6, 25, 10.6, 8.2, 5.99, -0.57, 
##     -5.15, -5.52, -5.89, 1.88, 8.84, 11.7, 24.4, 27.6, 43.4, 
##     46.6, 48.4, 49.1, 43.4, 41, 35, 26.1, 26.6, 29, 31.6, 33.3, 
##     37.4, 53, 50.8, 46.5, 44.1, 29.9, 25.1, 16.9, 6.67, 4.41, 
##     -5.79, -12.5, -13.1, -13.8, -11.9, -9.24, -7.63, -0.94, 8.54, 
##     30.1, 37.8, -13.2, -33, -32.7, -31.9, -31.6, -31.3, -30.8, 
##     -30.8, -30.7, -30.5, -30.6, -30.4, -30.2, -30.2, -30.7, -30.8, 
##     -30.8, -31.3, -31.4, -31.5, -31.8, -34.3, -34.3, -33.9, -33.1, 
##     -28.9, 3.36, 24.2, 38.4, 42.4, 56.7, 57, 43.6, 44.2, 45.3, 
##     51.7, 49.9, 36, 22.2, 17.6, 3.88, -20.9, -22.5, -25.9, -14.7, 
##     20.7, 25.7, 46, 50.3, 49.3, 43.1, 38.7, 39.5, 40.6, 41.8, 
##     47.6, 1.99, 19.1, 35.2, 43.9, 39.2, 37.8, 36.9, 37.7, 38.5, 
##     39.4, 40.5, 43.2, 44.7, 39.2, 36.3, 32.5, 4.47, -6.5, -9.68, 
##     -10.2, -10.5, -10.6, -7.82, -0.13, 2.2, 5.06, 11.1, 32.5, 
##     35.3, 35.9, 31.4, 27.6, 27.1, 28.2, 29.7, 42.5, 43.7, 44, 
##     39.8, 5.34, -1.68, -5.16, -8.86, -9.52, -1.27, 9.12, 14.9, 
##     17.8, 20.8, 24.2, 34.5, 38.4, 30.9, 30.4, 31.2, 32.3, 36.4, 
##     25.1, 23, 19.3, 15.8, -4.96, -7.43, -6.64, -5.27, -4.41, 
##     1.58, 6.88, -0.27, -0.54, -1.27, -0.97, -0.41, 0.35, 1.99, 
##     6.89, 10.5, 19.5, 21.3, 24.7, 27.1, 26.4, 30.9, 32, 16.6, 
##     11.1, 8.02, 4.82, 2.55, 0.61, 0.45, 0.32, 0.07, 0.33, 0.87, 
##     14.9, 16.9, 20.3, 21.8, 22.7, 21.1, 18.5, 17.4, 20.6, 21.6, 
##     23.6, 23.6, 20.3, 16.3, 15.1, 11.4, 10.3, 9.04, 5.84, 5.12, 
##     3.92, 3.64, 2.33, 1.86, 3.26, 5.06, 10.2, 15.7, 21.7, 22.2, 
##     22.9, 22.3, 20.7, 22.1, 22.6, 22, 22.3, 19.6, 14.7, 13.5, 
##     12.5, 10.8, 9.3, 8.96, 26.2, 25.4, 25.3, 24.6, 22.9, 21.2, 
##     13.9, 10.9, 10.5, 7.49, 7.55, 7.5, 6.99, 6.87, 7.18, 7.22, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 30.8, 26.3, 21.9, 17.9, 16.5, 14.9, 10.6, 
##     7.98, 7.41, 6.65, 6.25, 5.45, 5.06, 6.11, 6.9, 8.79, 14, 
##     30.6, 29.1, 27.7, 25.6, 25.5, 30.4, 30.9, 33.5, 34.6, 34.7, 
##     34, 33.3, 31.4, 30.7, 28.8, 25.3, 17.5, 15.6, 14.7, 11.3, 
##     10.2, 9.23, 6.12, 4.74, 2.37, 1.48, 0.84, 0.05, 0.71, 2.7, 
##     5.64, 6.63, 9.5, 21.9, 29.8, 31.1, 35.8, 38.2, 41.6, 40.2, 
##     38.5, 35.8, 35, 34.5, 34, 33.3, 31.6, 29.9, 27.5, 22.7, 21.9, 
##     16.3, 15.4, 15, 15.7, 23.2, 30, 31.9, 33.8, 38.3, 40.1, 41.9, 
##     43.8, 43.6, 42, 40.7, 38.5, 37.4, 23.4, 21.2, 18.1, 8.73, 
##     7.57, 10.7, 11.3, 11.8, 12.8, 14.9, 15.3, 16.1, 16.3, 16.9, 
##     17.9, 18.1, 19.6, 27.8, 33, 36.2, 37.7, 41.9, 43.5, 43.1, 
##     40.4, 37.7, 36, 32.2, 27.9, 25.4, 23, 4.26, 18.8, 22.1, 30.2, 
##     37.2, 41.1, 44.1, 44.5, 44.5, 42.7, 41.5, 40.1, 38.5, 32.8, 
##     23.5, 20, 17, 14, 9.93, 7.15, 18.2, 16.5, 12.9, 11.1, 9.13, 
##     -7.65, -17.3, -18.7, -19, -9.45, 24.3, 28.3, 30, 34.8, 35, 
##     35.3, 35.6, 34.7, 31.3, 20, 10, 5.25, 1.77, 1.11, 1.64, 2.04, 
##     6.67, 8.96, 13.5, 27.6, 29.1, 32.6, 35.4, 35.1, 32.7, 14, 
##     10.6, 8.99, 4.72, 3.43, -7.61, -8.71, -14.7, -14.4, -9.17, 
##     -8.35, -6.69, -5.67, -4.44, 2.79, 9.59, 16.8, 21.7, 27.2, 
##     28.2, 30.3, 21.1, 19.8, 17.7, 8.21, -2.89, -6.24, -7.27, 
##     -9.01, -9.45, -8.32, -3.1, -1.82, -0.4, 5.67, 10.6, 15.3, 
##     29.6, 29.1, 26.9, 24.1, 22.9, 20.9, 18.7, 16.4, 14.2, 7.29, 
##     5.06, 2.52, -5.66, -7.05, -10.9, -11.5, -11.8, -10.8, -10.3, 
##     -9.78, -5.11, 1.17, 12.1, 22, 31.2, 32.6, 34.1, 32.9, 32.3, 
##     28.2, 18.8, 15.5, 12.9, 11.8, 10.8, 28.9, 28.4, 27.8, 25.9, 
##     18.7, 17.2, 12.6, 11.3, 9.81, 8.33, 1, -12.8, -14.1, -14.8, 
##     -13, -12, -10.6, -5.92, -0.74, 0.95, 3.94, 10.6, 12.2, 14.3, 
##     23.6, 27, 27.6, 28, 26.1, 25, 23.8, 20, 16.3, 14.4, 10.3, 
##     8.56, 7.27, 6.06, 4.9, 1.91, 1.33, 0.84, 0.32, 0.62, 2.38, 
##     3.75, 5.29, 11.8, 19.6, -2.49, -4.68, -6.98, -13.2, -16.3, 
##     4.85, 6.73, 11.9, 17, 18.8, 20.5, 25.1, 26.1, 27.8, 28.5, 
##     28.1, 25.1, 20.2, 8.06, 7.01, 5.88, -2.17, -1.66, -1, 1.16, 
##     1.98, 2.77, 6.56, 7.69, 8.89, 10.1, 16.4, 22.1, 25.8, 29.2, 
##     33.2, 32.6, 30.9, 29.8, 23.9, 16.9, 15.7, 2.99, 1.56, -3.74, 
##     -7.18, -2.45, 7.7, 10.6, 18.4, 22.1, 28.3, 28.7, 30.7, 33.2, 
##     31.5, 18.6, 4.65, 0.95, 0.03, 0.28, 0.73, 0.93, 1.41, 3.59, 
##     4.76, 8.41, 11.8, 16.9, 28.1, 30.1, 32.7, 33.4, 33.8, 28, 
##     22, 20.3, 11.8, 10.1, -1.03, -5.33, -10.9, -12.7, -12.6, 
##     -11.3, -10.7, -8.16, -6, -3.56, -2.04, -0.47, 8.89, 10.9, 
##     17.1, 20.9, 22.9, 24.9, 27.9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 30.4, 29.2, 24.9, 22.3, 19.2, 14.7, 13.3, 
##     9.63, 4.9, 2.31, 1.1, -1.3, 2.41, 0.8, 1.54, 2.82, 3.37, 
##     4.07, 4.84, 8.59, 19.3, 20.7, 22.2, 23.3, 24, 24.7, 26.8, 
##     28.5, 18.2, 20.8, 31.2, 33.5, 30.4, 29.4, 28.7, 28, 26.4, 
##     25.1, 22.5, 14.1, 8.02, 6.27, 2.36, -1.92, -14.3, -24.2, 
##     -24.6, -24.9, -24, -23.3, -22.4, -21.3, -20, -5.08, 15.5, 
##     20.8, 30, 31.2, 40.8, 40.7, 39.5, 39.1, 38.8, 38.9, 34.6, 
##     33.7, 8.08, 8.25, 8.41, 8.24, 8.11, 7.36, 7.23, 7.02, 7.01, 
##     7.05, 7.15, 7.54, 7.24, 7.87, 10.8, 13.1, 15.4, 19, 20.6, 
##     20.7, 19.8, 19.6, 18.8, 14.8, 16.2, 23.7, 24.6, 25.9, 28.7, 
##     28.8, 26.5, 22.9, 24.2, 24.6, 25.6, 24.2, 16.5, 10.4, 8.57, 
##     3.92, 2.77, 31.8, 8.37, 5.68, -5.06, -6.89, -9.82, -11.3, 
##     -11.8, -12.4, -12.6, -12.6, -10.9, -10.2, -7.35, -3.04, -31.9, 
##     -32, -32.5, -32.6, -32.6, -32.6, -32.7, -32.7, -32.7, -32.7, 
##     -32.7, -32.7, -33, -33.1, -33.3, -33.5, -33.5, -33.6, -33.9, 
##     -33.9, -34.1, 21.9, 20.9, 20.4, 19.3, 14.6, 12.2, 11.1, 11.6, 
##     11.8, 12.4, 14.7, 16.2, 17.7, 18.6, 17.8, 16.7, 14.7, 14.8, 
##     15, 15, 14.9, 12.5, 14.4, 14.6, 16.4, 17.1, 18, 23.5, 24, 
##     22.3, 21.2, 21.2, 21.4, 21.5, 15.1, 19.3, 19.9, 21.2, 22.2, 
##     22.8, 18.5, 18, 17.4, 16.3, 15.8, 8.9, 9.03, 8.97, 9.34, 
##     9.66, 10.5, 10.9, 12.1, 12.9, 13.9, 15.1, 17.1, 18.3, 19.4, 
##     21.6, 23.7, 23.3, 24.6, 24.5, 24.3, 24.2, 24.1, 23.9, 23.6, 
##     23.6, 23.7, 23.8, 24, 24, 23.8, 23.9, 23.9, 23.5, 23.3, 23.3, 
##     23.4, 23.5, 23.7, 23.9, 24, 24, 24.4, 24.2, 24.4, 32.2, 25.9, 
##     20.1, 12.8, 10.8, -1.5, -8.05, -7.05, -6.93, -5.92, -2.67, 
##     1.52, 8.97, 3.55, 1.36, -9.21, -10.2, -11.1, -12.5, -11.8, 
##     -10.5, -8.06, 12.2, 65.6, 57.8, 51.9, 49.9, 39.7, 14.3, 10.9, 
##     8.19, 32.3, 34, 39.7, 42.1, 37, 32.5, 23.7, 21.8, 21.6, 21.8, 
##     23.4, 24.7, 27.5, 35.5, 28.6, 21.1, 21, 21.5, 22.2, 23.1, 
##     23.3, 24.4, 27.9, 33, 37, 43.7, 51.8, 55.1, 46.3, 38.2, 35.6, 
##     28.1, 30.5, 36.7, 41.4, 45.2, 50.7, 51.7, 53.3, 45.2, 34.2, 
##     31.9, 22.4, 18, 52.7, 51.6, 50.3, 45.3, 43.5, 34.8, 23.1, 
##     11.9, 9.9, 0.37, -3.13, -2.73, 25.8, 24.3, 17.8, 19.5, 20.1, 
##     23.3, 40.6, 45.2, 50.8, 52.2, 51.9, 36.9, 32.7, 28.6, 31.6, 
##     34.3, 43.4, 46.3, 49.5, 59.6, 56.4, 38, 30.3, 24.6, 21.8, 
##     0.51, -6.07, -9.25, -3.29, 10.2, 14, 26.3, 39.2, 54.3, 55.7, 
##     55.3, 47.4, 32.3, 21.3, 14.2, 12.6, 11.7, 11.5, 15.7, -17.2, 
##     -15, 4.51, 8.34, 12.6, 56.1, 72.2, 82.4, 84.3, 45.6, 38.1, 
##     32.2, 29.7, 27.5, 26, 24.8, 23.9, 24.9, 25.9, -12, -14.2, 
##     -20.1, -21.6, -25.7, -26.4, -26.6, -26.4, -24.9, -24.3, -24.3, 
##     -24.4, -24.6, 13.9, 4.82, 2.88, 1.28, 0.05, -1.93, -3.7, 
##     -5.38, -5.71, -5.42, -3.75, -3.01, 1.58, 9.01, 30.5, 47.9, 
##     49.2, 53.9, 53.8, 49.1, 46.7, 56, 56.9, 53.7, 27, 21.1, 19.7, 
##     16.2, 13.4, 10.2, 6.24, 4.01, 0.09, -2.01, -1, -0.58, -0.2, 
##     0.24, 5.12, 6.76, 24.7, 29.9, 31.2, 35.2, 33.2, 36.6, 37.5, 
##     38, 38.3, 38.5, 38.7, 32.9, 29.1, 27.3, 25.6, 23.9, 19.6, 
##     16.7, 11.5, 4.08, 1.65, 0.55, -1.33, -4, -5.48, -6.94, -8.17, 
##     -7.93, -6.5, -5.09, -4.5, -2.19, -0.32, 2.73, 3.39, 6.39, 
##     7.63, 15.6, 16.9, 17.9, 18.8, 20.5, 22.4, 23.4, 25.9, 28, 
##     29.6, 29.6, 29.3, 28.7, 28.4, 27.4, 27.2, 26.7, 25.8, 12.2, 
##     10.5, 0.98, 2.58, 5.72, 11.1, 12.7, 20, 21.6, 26.3, 26.7, 
##     27, 29.2, 30.3, 30.6, 29, 28.5, 26.2, 23.2, 20.5, 19.1, 17.7, 
##     11.2, 10, 7.47, 3.16, 2.29, -1.08, -1.89, -4.73, -5.81, -6.3, 
##     -6.85, -7.03, -7.09, -7.42, -7.01, -6.44, -5.48, 8.26, 15.8, 
##     29, 32.2, 32.5, 33.1, 37.6, 37.5, 35.2, 34, 28, 24.6, 18.1, 
##     16.4, 9.85, 2.42, 1.19, -0.22, -2.74, -2.53, -2.22, -1.07, 
##     1.93, 2.87, 4.81, 10.4, 13.5, 15, 16.6, 21.6, 26.8, 37, 38, 
##     49, 48.9, 48.7, 47.6, 46.6, 45.4, 44.9, 40.2, 30.9, 29.1, 
##     17.1, 11.7, 6.31, 5.22, 4.18, 0.71, -2.96, -2.76, -2.25, 
##     0.08, 1.96, 4.73, 9.52, 16.5, 24.1, 26.3, 34.8, 44.9, 47, 
##     49.2, 51.5, 51.9, 51.4, 35.6, 31.1, 21.8, 20.1, 18.2, 11, 
##     5.07, 2.48, -3.24, -4.83, -4.47, -3.46, 0.86, 8.51, 10.3, 
##     12, 19.2, 36.3, 40, 44.8, 47.6, 48.1, 49.1, 49.4, 49, 48.3, 
##     39.2, 35.6, 32.3, 25.9, 20.1, 8.87, -0.36, -2.73, -3.66, 
##     -3.94, -4.04, 14.5, 14.4, 15.5, 20, 16, 15.5, 15.1, 15.2, 
##     15.7, 18.6, 20.6, 21, 21, 20.7, 20.2, 15.7, 14.1, 13.8, 13.3, 
##     13, 12.6, 12.6, 13.3, 15.5, 17.1, 17.3, 15, 15, 14.6, 14.4, 
##     14.2, 16.2, 17.5, 20.7, 21.2, 23, 22.1, 20.5, 20, 19.3, 19.4, 
##     19.6, 19.6, 19.7, 22.6, 24.2, 20.4, 18.8, 17.3, 14.2, 13.4, 
##     12, 9.78, 10.2, 12.1, 12.7, 13.7, 14, 14.3, 14.2, 12.9, 13.5, 
##     14, 14.3, 14.5, 14.6, 15.3, 14.1, 13.5, 12.5, 11.8, 12.7, 
##     12.9, 13.7, 13.7, 14.3, 14.5, 14.7, 14.8, 14.4, 14.8, 15.2, 
##     14.8, 13.3, 13, 11.9, 11.2, 8.68, 7.32, 6.92, 6.65, 7.48, 
##     7.94, 10.3, 11, 13.4, 13.4, 13.5, 13.3, 12, 10.8, 10.1, 10.5, 
##     11.9, 13.8, 13.6, 13.5, 12.1, 11.1, 10.6, 7.14, 5.88, 4.34, 
##     4.43, 5.96, 6.53, 7.09, 7.61, 8.11, 12.9, 12.4, 11.8, 7.81, 
##     9.98, 10.9, 11.2, 11.4, 15, 15.7, 12.4, 8.68, 8.36, 8.71, 
##     8.78, 8.82, 9.75, 10.2, 12.3, 18.2, 20.3, 12.8, 11.1, 15.5, 
##     16, 16.1, 16.2, 16.5, 18.3, 18.9, 19.3, 20.3, 20.4, 19.4, 
##     17.2, 13.2, 10.6, 10.3, 10.2, 9.98, 9.97, 10.4, 10.7, 11.4, 
##     12.8, 16.5, 18, 21.5, 23.7, 23, 20.7, 19.3, 18, 15.5, 17, 
##     17.6, 18, 19.5, 19.8, 20.3, 20.5, 20.8, 21.2, 22, 22.2, 22.2, 
##     21.9, 20.2, 19.3, 9.78, 4.13, 6.17, 11.6, 13.2, 12.8, 12.1, 
##     11.5, 10.9, 11, 11.4, 14.3, 14.4, 14.3, 14.5, 14.8, 15.4, 
##     4.5, 4.98, 5.25, 5.58, 6.54, 7.01, 7.15, 7.7, 10.7, 10.8, 
##     8.24, 8.4, 12.9, 13.5, 13.6, 13.6, 13.4, 13.4, 13.1, 13, 
##     12.7, 10.1, 9.39, 8.69, 4.48, 0.46, 0.58, 0.78, 1.11, 2.09, 
##     4.92, 7.2, 7.73, 8.35, 8.79, 10.5, 11.1, 35.6, 38.6, 40.1, 
##     41.4, 42.6, 45.2, 43.8, 42.2, 38.8, 23.6, 21.8, 20, 18.1, 
##     16.1, 4.94, 1.78, 1.5, 1.16, 1.45, 1.6, 1.75, 2.44, 2.82, 
##     2.78, 2.67, 2.69, 2.1, 1.56, 1.45, 1.43, 1.46, 1.64, 2.72, 
##     3.21, 3.73, 4.49, 4.32, 1.92, 1.24, 1.63, 1.9, 2.13, 2.51, 
##     2.59, 2.76, 3.25, 4.27, 4.53, 4.75, 4.76, 4.79, 4.58, 4.18, 
##     4.67, 3.64, 3.42, 3.19, 2.83, 3.01, 2.46, 2.12, 2.21, 2.45, 
##     2.62, 2.94, 3.07, 2.32, 1.77, 0.44, -0.02, -0.75, -1.2, -2.64, 
##     -2.67, -2.7, -3, -3.05, -1.68, -0.36, 1.47, 13.4, 15, 18, 
##     24.6, 27.7, 29, 30.2, 31.1, 31.8, 33.4, 33.9, 34.8, 36.9, 
##     38.3, 37.1, 36.1, 35.7, 28.9, 24.7, 19.2, 15.8, 5.65, 4.23, 
##     -0.13, -1.16, -2.19, -4.07, -4.89, -6.63, -6.87, -6.96, -6.75, 
##     -6.42, 8.84, 10.7, 12.8, 27.5, 35, 41.3, 42.8, 46.8, 46.7, 
##     48, 45.3, 35.5, 33.1, 29, 22.3, 0.42, -0.75, -1.2, -1.35, 
##     5.5, 15, 26.4, 34.1, 44.4, 48.8, 51.8, 52, 54.5, 54.9, 55.1, 
##     55.4, 53.1, 51, 44.3, 34, 31.8, 29.9, 23.4, 21.3, 19.1, 3.92, 
##     1.73, 1.75, 2.61, 4.61, 6.11, 7.88, 18.4, 23.5, 26.2, 31.4, 
##     37.5, 54.8, 54.2, 54, 54.6, 45.8, 43.6, 41.7, 31, 28.3, 18.4, 
##     16.2, 9.48, -2.95, -3.42, -3.55, -3.52, -2.75, -0.5, 15, 
##     23.9, 35.1, 37.6, 41.9, 50.2, 52.4, 53.1, 53.3, 53.1, 52.9, 
##     51.5, 48.1, 37.1, 31.3, 25.1, 22.1, 19, 15.7, 12.2, 8.84, 
##     -3.92, -7.83, -6.74, 13.1, 16, -4.36, -4.56, -4.23, -3.64, 
##     1.69, 9.85, 12.1, 24.1, 28.9, 40.5, 45.6, 47.4, 45.5, 47.6, 
##     48.4, 50.8, 51.6, 46.9, 42.7, 34.4, 13.7, 9.39, 7.58, 3.57, 
##     2.58, 0.44, 2.14, 13.2, 33.8, 35.9, 40.3, 44, 46.8, 46.2, 
##     44.1, 44.5, 46.1, 47.1, 50.4, 48.6, 43.9, 41.8, 35.2, 33.1, 
##     27, 21.2, 5.73, 5.45, 5.66, 8.25, 17.9, 20.4, 30.7, 46, 50.3, 
##     7.15, 6.91, 6.78, 6.78, 6.79, 6.81, 6.93, 6.9, 6.88, 7.04, 
##     6.64, 6.63, 7.16, 7.26, 7.22, 6.28, 6.13, 8.44, 8.7, 9.46, 
##     11.3, 11.1, 11.6, 13.3, 14.1, 12.2, 9.84, 7.84, 6.33, 4, 
##     2.86, 2.23, 1.21, -1.01, -2.3, -2.78, -3.46, -3.32, -2.61, 
##     -1.54, -0.69, 0.43, 5.65, 7.15, 7.52, 8.17, 8.86, 11.7, 14.2, 
##     17.4, 19.4, 18.7, 18.3, 18.4, 8.83, 3.5, -6.28, -8.92, -9.08, 
##     -9.1, -8.85, -7.26, -6.22, -3.77, 2.12, 5.42, 12, 13.5, 16.2, 
##     17.4, 18.5, 23.8, 26.9, 26.7, 26.4, 26.3, 26, 25.9, 25.4, 
##     22.3, 16.5, 13.9, 21.2, 26.5, 27.7, 30.2, 29.4, 29.2, 27.4, 
##     25.7, 15.6, 12.5, -14.2, -15.4, -17.4, -17.9, -17.5, -16.2, 
##     -15, -3.52, -1.31, 3.59, 13.9, 16.4, 30.1, 33.3, 34.3, 34.7, 
##     32.4, 5.43, 1.58, -13.3, -18.7, -20.7, -21, -20.4, -19.7, 
##     -18.9, -17.8, -16.7, 2.59, 5.83, 11.6, 14.4, 19.8, 26, 31.1, 
##     32.4, 37.5, 37.6, 32.2, 23.2, 21.7, 14.4, 5.99, 4.29, 2.58, 
##     -5.61, -11, -12.7, -14.5, -14.4, -14.1, -13, -8.89, 0.07, 
##     12.9, 28.1, 29.5, 34.6, 36.1, 37.7, 38.9, 39.9, 40.3, 38.4, 
##     34, 24.9, 19.4, 16.1, 1.31, -8.1, -16.9, -17, -15.9, -15.1, 
##     -13.2, -4.9, -2.57, 12.3, 21.3, 28.5, 36.8, 40.1, 34.4, 29.7, 
##     27.5, 7.04, 4.67, 1.95, -15.3, -20, -20.3, -20.3, -19.3, 
##     -18.5, -12.2, 1.64, 28.5, 29.2, 36.1, 38.5, 38.8, 36.9, 28.7, 
##     22.1, 11.4, 7.75, 4.9, 1.6, -13.7, -14.8, -19.4, -20.9, -20, 
##     -17.4, -10.5, -8.06, -5.13, -2.54, 3.52, 13.1, 15.9, 25.4, 
##     30, 34.7, 38.9, 40.6, 40.2, 38, 32.3, 28.6, 19, 15, 3.27, 
##     -2.27, -3.86, -8.57, -20.1, -20.4, -20.6, -20.5, -19.8, -19.1, 
##     -17.8, -17.7, -17.8, -17.8, -17.9, -17.8, -17.8, -17.8, -17.8, 
##     -17.7, -17.4, -17.4, -17.4, -17.4, -17.3, -17.2, -17.1, -16.9, 
##     -16.9, -16.5, -16.4, -16.2, -16.2, -16.2, -16.1, -16, -15.8, 
##     -15.7, -14.8, -12.2, 0.91, 6.63, 6.63, 6.63, 13.3, 17.1, 
##     20.8, 24.4, 33.4, 38.6, 41.3, 42.1, 42.6, 42.1, 38.4, 39, 
##     42.7, 45, 50.1, 48, 35, 13.2, -12.4, -15.2, -1.13, 24.5, 
##     28.9, 40.6, 42.7, 42.7, 42.4, 33.3, 34.3, 44.8, 45.3, 9.58, 
##     -0.97, -8.15, -10.5, -12.1, -15, -15.4, -15.9, -15.8, -14.2, 
##     -13.4, -12.6, -11.5, -11.1, -10.9, -10.5, -10.5, -10.2, -9.77, 
##     -9.16, -9.06, -9.07, -8.89, -8.79, -8.76, -8.76, -8.76, -8.72, 
##     -8.61, -7.92, -7.59, -7.6, -7.46, -7.26, -6.5, -6.13, -3.77, 
##     -3.22, -1.77, 3.52, 15, 17.5, 16.7, 17, 16.2, 14.6, 16.1, 
##     17.4, 17.9, 17.9, 18, 17.9, 18, 18.1, 18.3, 18.5, 18.7, 18.7, 
##     18.5, 18.4, 18.4, 18.4, 18.5, 18.7, 18.8, 18.8, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31.5, 32.8, 26.2, 25, 21.9, 
##     19, 10.2, 7.15, 20.1, 19, 17.5, 2.74, -1.5, -7.47, -10.8, 
##     -11.7, -12.6, -12.5, -11.6, -10.9, -8.96, -3.55, 2.6, 19.3, 
##     33.1, 33.6, 34, 34.9, 33.6, 30.3, 23.3, 20.2, 14.4, 12.2, 
##     6.18, 0.29, -0.64, -0.44, 0.21, 1.97, 2.66, 3.38, 4.87, 5.57, 
##     7.8, 10.8, 15.1, 16.7, 18.4, 30.5, 32, 26.8, 20.1, 16.2, 
##     10.4, 8.37, 4.77, 1.94, -5.19, -9.19, -12.2, -14, -14.2, 
##     -14, -11.1, -9.8, -9.06, -8.37, -7.39, -6.46, -3.43, -2.27, 
##     1.9, 5.15, 7.02, 28, 29, 31.4, 32, 31.8, 29.5, 28.2, 26.8, 
##     23.7, 19.8, 10.6, 6.35, 3.96, 2.8, -2.37, -2.71, 6.23, 9.98, 
##     11.4, 15.8, 16.8, 20.1, 21.1, 23.2, 25.5, 28.5, 30.5, 38, 
##     41.3, 40, 38.9, 38.3, 36.3, 35.7, 33.5, 32.5, 33, 16.4, 13.6, 
##     13.5, 13.9, 14.5, 15.3, 17.2, 19.4, 20.7, 24.8, 29.4, 31, 
##     32.4, 36.4, 40.9, 44.6, 45.1, 44.9, 44.3, 43.8, 42.8, 41, 
##     38.3, 32.3, 28, 27, 23.9, 22.6, 21.2, 15.6, 14.4, 13.2, 12.4, 
##     11.5, 12, 15.8, 18.3, 24.3, 27.9, 31.7, 42.1, 45, 46.4, 46.5, 
##     46.5, 45.5, 45, 44, 43.5, 41.8, 43.5, 48, 48.2, 48.2, 47.2, 
##     45.5, 42.9, 40.7, 38.8, 31.2, 25.8, 18.1, 16.6, 13.8, 12.6, 
##     11.6, 10.2, 8.67, 7.74, 7.62, 11.8, 13.2, 17.7, 22.9, 26.5, 
##     30, 31.8, 33.3, 39.3, 41.1, 41.9, 43, 41.5, 40.8, 36.2, 35.1, 
##     34.5, 35.5, 36.1, 37.4, 40.8, 41.9, 45.3, 45.4, 44.1, 42.4, 
##     37.5, 33.7, 28.2, 13.7, 13, 12.8, 42.8, 42.2, 40.9, 40.4, 
##     32.6, 32.5, 36.2, 38.4, 49.1, 47.5, 44.8, 45.8, 46.7, 46.7, 
##     46.3, 44.6, 43.6, 41.2, 40.6, 39.5, 39.3, 39.3, 39.4, 39.6, 
##     41.1, 43.6, 44.1, 46.2, 50.4, 50.2, 50.2, 49.9, 49.7, 47.8, 
##     43.7, 38.4, 33.1, 29.7, 25.6, 22, 20.9, 18.2, 17.4, 16.3, 
##     19.5, 22.5, 42.3, 36.6, 33.5, 32.6, 29.5, 28.3, 20.3, 19.3, 
##     19.6, 20.2, 21.8, 27.9, 13.1, 14.2, 15.3, 21.1, 27.7, 33.7, 
##     39.2, 42.1, 43.3, 44.2, 46, 46.6, 46.4, 46.1, 45.9, 45.6, 
##     44.9, 43.3, 38.1, 38.2, 38.3, 37.6, 37.7, 37.9, 40, 41.7, 
##     44.4, 35.9, 36.5, 37.5, 39.3, 40.8, 41, 41.1, 40.7, 40.5, 
##     38.8, 35.3, 26.2, 23.2, 22.3, -1.13, -0.5, 1.69, 4.27, 8.88, 
##     9.31, 9.99, 14.4, 20.3, 25.5, 25.7, 22.1, 19.5, 19.8, 20.2, 
##     20, 20, 20.1, 20.2, 20.2, 19.8, 19.8, 19.7, 19.5, 18.3, -7.46, 
##     -7.47, -7.47, -7.63, -7.68, -7.95, -7.98, -7.97, -8.03, -8.11, 
##     -8.17, -8.17, -7.94, 1.99, -0.72, -3.25, -5.69, -8.66, -10.2, 
##     -11.2, -12, -12.5, -12.9, -11.8, -2.61, 1.05, 6.76, 15.6, 
##     17.3, 14.5, 13.1, 12.8, 11.7, 11, 10.5, 9.69, 8.22, 7.49, 
##     5.02, 4.53, 3.69, 3.71, 4.07, 11.7, 7.78, 10.1, 11.2, 11.9, 
##     13.3, 13.9, 15.8, 16.1, 16.2, 16.1, 15.9, 13, 10.6, 9.04, 
##     8.37, 7.86, 9.48, 11.2, 11.4, 11.4, 11.9, 15.3, 16.4, 16.6, 
##     16.7, 16.5, 16.4, 16.2, 14.8, 14.1, 12.9, 43.5, 43.5, 41.5, 
##     36.8, 25.6, 21.8, 14.9, 9.28, 6.35, -2.5, -2.58, -2.68, -2.72, 
##     -3.09, -4.71, -6.23, -8.97, -9.56, -9.33, -9.26, -9.36, -9.34, 
##     -8.03, -3.22, 8.18, 11.1, 24.4, 26.4, 31.4, 35.9, 6.83, 4.22, 
##     2.67, 0.62, -1.34, -2.09, -2.58, -7.19, -7.74, -10.6, -9.95, 
##     -4.44, 9.89, 7.6, 2.65, 0.81, -1.2, -2.88, -4.21, -5, -6.02, 
##     -7.1, -7.13, -6.73, -5.88, -2.2, 15.4, 16.3, 19, 21.1, 22.2, 
##     28.4, 29.4, 25.8, 24.4, 21.2, 20, 14.6, 24.4, 30.4, 46.4, 
##     48.7, 49.7, 50.2, 50.2, 50.5, 51.2, 52, 52.8, 53.1, 51.9, 
##     50.3, 45.6, 42.8, 22.2, 19.8, 17.5, 9.48, 7.63, 0.99, -1.73, 
##     -1.87, -0.9, -1.12, -1.27, -1.35, -1.01, -0.63, -0.41, -0.76, 
##     -2.63, 29.6, 31.2, 45.6, 47.5, 51.5, 54.7, 47.9, 46.8, 45.4, 
##     43.8, 41.2, 42.4, 46.5, 44.8, 44.7, 44.7, 44.6, 34.3, 27.3, 
##     29.2, 35.4, 41.5, 45.7, 52.6, 57.9, 58.8, 49.8, 40.4, 37.9, 
##     36.5, 37.9, 38.9, 40.1, 43.3, 46.6, 55.9, 56.4, 54.9, 54.1, 
##     53.3, 41.1, 42.6, 47.1, 48.7, 51.4, 55.3, 54.7, 49.5, 32.3, 
##     37.1, 38.1, 41, 48.6, 56.1, 60.6, 61.1, 58.8, 57.6, 47.5, 
##     45.2, 41.1, 39.5, 36.6, 34.7, 35, 37.5, 38.9, 40.6, 42.3, 
##     47.8, 49.5, 47.2, 45.7, 41.9, 37.6, 29.6, 28.5, 31.7, 33.7, 
##     34.7, 39.2, 48.7, 50.5, 54, -1.84, 2.26, 7.7, 9.53, 13.9, 
##     16, 26.5, 28.8, 33, 35.2, 39.1, 44.4, 48.2, 49.4, 50.9, 53.9, 
##     42.1, 37.8, 29.4, 27.6, 15.8, 12.3, 10.9, 1.45, 0.84, -1.09, 
##     -1.32, -1.46, -1.57, -0.52, 1.41, 4.14, 5.06, 8.93, 13.8, 
##     17.7, 37.8, 41.7, 23.8, 18.3, 16.4, 13.2, 9.75, 7.17, 5.78, 
##     3.36, 0.58, -1.48, -2.5, -2.63, -2.74, -2.75, -0.91, -0.31, 
##     0.47, 1.38, 3.12, 5.39, 19.6, 28.3, 49.2, 49.4, 49.3, 48.6, 
##     48.5, 49, 50.3, 51.2, 51.9, 47.2, 44.8, 44.2, 56.8, 57.6, 
##     57.5, 56.3, 54.7, 46.8, 44, 43.7, 42.7, 42.4, 42.4, 42.5, 
##     42.8, 47.9, 56.8, 55.5, 53.9, 52.5, 49.4, 44, 38.1, 35.5, 
##     35.1, 35, 35.1, 36, 38.9, 44, 45.3, 48.7, 53.7, 53.1, 52.2, 
##     46.6, 40.7, 44.7, 48, 59.1, 59.9, 60.4, 51.5, 49.5, 40.2, 
##     40.2, 40.1, 39.7, 40.1, 41.1, 42.7, 45, 46.4, 47.8, 50.8, 
##     52.2, 55.5, 51.7, 46.1, 44, 36.4, 42.7, 47.7, 53, 54.4, 54.6, 
##     54.3, 53.8, 48.5, 47.2, 45.6, 44.2, 41.6, 42.4, 48.7, 52.8, 
##     54.6, 56.6, 51, 49.4, 47.9, 43.7, 39, 39.1, 39.2, 39.2, 39.3, 
##     39.5, 39.6, 40.7, 46.4, 49.6, 50.6, 52.5, 54.5, 54.7, 54.6, 
##     40.9, 40.4, 39.8, 39.7, 39.6, 39.6, 49.9, 54.4, 54.1, 53, 
##     52.3, 47.7, 44.5, 36.6, 38.6, 39.4, 50.3, 56.1, 59, 60, 60.4, 
##     57.3, 54.3, 52.8, 47.1, 47, 46.7, 45.5, 44.4, 44, 43.4, 43, 
##     49.1, 50.2, 51.2, 52.2, 53, 41.9, 38.4, 36.7, 43.2, 44.7, 
##     46.4, 50, 59.4, 58.1, 42.2, 40.7, 39.8, 39.3, 39.5, 40.1, 
##     41.1, 41.9, 53.9, 54.5, 53.1, 47.9, 46.4, 45.2, 39.6, 40.5, 
##     51.2, 54.8, 52.6, 51.8, 51, 48, 38.8, 30, 26.4, 22.8, 19.1, 
##     15.7, 12.1, 13.3, 57.3, 55.5, 54.4, 47.3, 42.7, 37.4, 33.7, 
##     29.5, 18.9, 17.6, 26.2, 27.8, 29.3, 31, 32.4, 35.7, 37.3, 
##     45.4, 50.8, 56.5, 57.4, 58.7, 59.3, 59.7, 60.5, 60.1, 59.1, 
##     57.8, 55.1, 55.2, 59.3, 61.5, 55, 46.3, 43.2, 36.4, 31, 27.7, 
##     26.1, 24.5, 16.8, 12.9, 13.5, 19.3, 21.8, 26.1, 30, 41.8, 
##     45.7, 47.9, 49.8, 61.2, 64.9, 64.4, 66.7, 67.8, 66.7, 65.2, 
##     64.2, 62.8, 58.3, 60.3, 61.1, 62.7, 63.5, 64.4, 66.4, 67.3, 
##     68.1, 69.8, 68.7, 58.4, 56.7, 50.1, 48.5, 40.7, 39.2, 27.7, 
##     24.2, 18.2, 18.2, 22.1, 23, 26.5, 53.4, 55.7, 65.3, 67, 68.7, 
##     71.8, 71.9, 70.9, 69.6, 68.6, 67.5, 63.4, 62.7, 63.1, 67, 
##     68.6, 72.9, 75.8, 64.3, 60.2, 58.1, 56.1, 54, 52.5, 45.5, 
##     43.9, 41.9, 20.4, 18.9, 23.8, 24.9, 27.3, 56.1, 58.7, 68.2, 
##     74.6, 74, 70.8, 61.7, 60.4, 60.5, 61, 65.1, 73, 77.8, 79.1, 
##     78.6, 76.6, 33.3, 46, 48.6, 63.1, 68.4, 82, 81.2, 79.5, 70.5, 
##     66.9, 62.4, 61.9, 61.5, 64.1, 67.1, 69.3, 70.3, 87.2, 87.4, 
##     59.8, 57.3, 55.2, 50.2, 47.1, 43.2, 40.5, 33.3, 31.8, 30.3, 
##     27.5, 24.8, 23, 21.9, 26.7, 38.1, 42.6, 50.8, 53.5, 68.1, 
##     75, 82.3, 84.1, 12.2, 12.1, 10.3, 9.47, 12.3, 13.4, 13, 13, 
##     13.2, 13.7, 13.3, 13.2, 10.4, 9.78, 9.6, 9.34, 8.92, 7.27, 
##     2.99, 3.8, 4.46, 5.7, 6.81, 6.95, 7.63, 9.01, 13.2, 12.5, 
##     12.2, 14.8, 16.2, 16.8, 17.5, 17.7, 17.3, 15.8, 14.8, 14.5, 
##     14, 12.4, 12.4, 12.1, 11.4, 7.95, 5.98, 5.06, 4.97, 4.24, 
##     2.01, 1.05, 0.7, 0.63, 0.6, 0.66, 1.13, 3.01, 6.83, 7.73, 
##     16.4, 16.7, 16.6, 16.2, 15.9, 14.1, 7.8, 6.55, 2.41, 3.21, 
##     3.81, 6.92, 9.87, 11, 13.6, 14.6, 16.1, 16.4, 16.5, 16.3, 
##     16.2, 15.8, 15.3, 13.2, 12.8, 12.7, 14.1, 14.5, 14.3, 14.5, 
##     12, 11.4, 11, 10.6, 8.75, 7.41, 6.66, 5.77, 2.64, 4.53, 7.92, 
##     9.35, 10.1, 10.5, 10.9, 11.6, 11.9, 13.2, 14.1, 14.3, 14.3, 
##     14.2, 14, 13.7, 12.7, 11.8, 11.6, 13.6, 13.5, 14.8, 15.4, 
##     14.2, 14.1, 14.3, 11.2, 10.4, 4.81, 2.47, 2.15, 5.83, 7.22, 
##     8.03, 8.42, 8.05, 8.05, 8.06, 8.7, 8.86, 9.47, 9.63, 11.1, 
##     11.6, 13.5, 13.2, 13.9, 16.6, 16.5, 16.4, 14.4, 13.6, 11, 
##     9.15, 7.55, 3.79, 2.89, 4.07, 9.53, 12.6, 13, 14.6, 12.7, 
##     11.9, 11.4, 10.9, 11.5, 10.7, 10.7, 11.4, 11.2, 11.7, 16.8, 
##     17.1, 17.3, 16, 14.7, 12.6, 11.8, 10.2, 8.5, 6.69, 5.49, 
##     5.8, 7.25, 14.1, 14.6, 14.3, 13.9, 13.6, 12.7, 12.6, 12.4, 
##     12.5, 12.6, 13.1, 13.2, 13.1, 12.9, 12.4, 11.8, 13.3, 13.8, 
##     14.2, 16.3, 16.5, 17.3, 17.6, 18.3, 18.2, 18, 15.8, 16.1, 
##     16.1, 13.1, 8.61, 6.85, 7.02, 7.31, 9.9, 10.5, 12.5, 12.6, 
##     12.7, 12.6, 12.5, 12.2, 12.6, 12.8, 13.9, 13.7, 13.6, 14.1, 
##     14.3, 15.2, 15.5, 15.8, 16.6, 16, 15.3, 14.6, 14.1, 14.1, 
##     15.1, 16.2, 17, 16, 15.5, 15.4, 15, 14.8, 10.4, 8.72, 7.45, 
##     7.79, 8.95, 9.63, 11.4, 16.7, 16.4, 16.5, 14.2, 12.3, 12.1, 
##     12, 12, 11.9, 11, 10.4, 52.1, 54.4, 56.3, 31.3, 12.4, 6.27, 
##     5.15, 2.99, 5.25, 11.6, 20.3, 30.5, 49.2, 51.4, 48.6, 47.8, 
##     46.4, 46, 44.8, 45.8, 46.5, 56, 58.3, 58.5, 56.2, 54.4, 49.4, 
##     46.4, 43.9, 28.8, 26.1, 23, 20, 11.1, 8.26, 5.66, 3.62, 3.67, 
##     5.25, 5.84, 5.99, 6.29, 6.52, 6.89, 7.03, 7.38, 7.39, 7.76, 
##     8.34, 8.53, 9.01, 10, 10.4, 10.7, 11.1, 12.7, 14.9, 36.2, 
##     42.5, 49.8, 51.2, 52.3, 53.2, 54.2, 50.5, 37.6, 35.3, 33.1, 
##     29.6, 27.8, 27.1, 27.1, 27.2, 39, 40.7, 46.1, 49.7, 52.6, 
##     51, 46.8, 46.6, 46.5, 47.3, 47.8, 47.9, 48.3, 48.4, 46.6, 
##     44.5, 38.7, 35.9, 34.8, 33.4, 30.1, 24.7, 24.9, 25.8, 31.8, 
##     37.9, 45.6, 48.8, 53.8, 55.5, 55.4, 54.8, 53.8, 42.2, 39, 
##     38.9, 38.8, 39.2, 42.5, 44.8, 45.8, 48.5, 49.2, 50.5, 50.9, 
##     47.6, 27.5, 25.9, 26.6, 30.5, 48.4, 49.8, 51.3, 56, 44.4, 
##     42.5, 40.7, 38, 37.1, 36.2, 35.4, 35.4, 37.2, 38.2, 39.3, 
##     45.4, 50.6, 50.1, 49, 47.4, 45.1, 43.4, 36.1, 25.2, 24.8, 
##     25.6, 27.4, 36.6, 38.6, 48.8, 47.4, 46.5, 42, 40.7, 39, 36.6, 
##     34.5, 30, 24.7, 26.1, 27.1, 29.9, 44.3, 54.4, 56.3, 57.5, 
##     54.4, 49.6, 46.8, 46, 45.5, 46.4, 47.8, 48.6, 51.6, 51.9, 
##     43.4, 29.1, 23.4, 25.7, 18.8, 18.9, 22.3, 36.6, 37.9, 39.1, 
##     39.7, 40, 40, 35.3, 27, 21.5, 20.7, 18.6, 18.2, 18.3, 18.9, 
##     24.3, 24.3, 28.2, 34.4, 37.6, 38.4, 40.2, 39.8, 39.4, 38.7, 
##     38, 35.2, 33.4, 26.3, 24.3, 19, 18.4, 19.5, 19.3, 19.3, 22.1, 
##     25.7, 34.1, 37.6, 38.2, 38.9, 39, 39.7, 36.6, 36.2, 34.4, 
##     32.6, 28.4, 22, 16, 16.7, 17.5, 26.4, 30.1, 22.2, 21.9, 21.4, 
##     21.3, 21.5, 25.4, 32.5, 34.5, 36.2, 38.1, 38.1, 38.1, 39.3, 
##     40, 40.3, 41.3, 42.2, 32.8, 33.1, 33.6, 34.1, 34.2, 34.1, 
##     37.4, 37.3, 37.7, 36.9, 35.5, 33.3, 31.7, 29.7, 24.6, 23.4, 
##     22.9, 23, 23.6, 26.6, 29, 30.2, 33.9, 31, 31, 32.9, 34.8, 
##     36, 37.2, 35.4, 29.4, 25.7, 24.2, 21.2, 25.2, 35, 35.2, 35.2, 
##     34.4, 34.1, 34, 34.3, 34.3, 34.3, 35.7, 37.6, 38.3, 29.5, 
##     24.8, 24.5, 24.4, 24.8, 28.5, 32.6, 33.4, 34.4, 34, 34.4, 
##     34.8, 34.7, 34.8, 35, 36.1, 36.1, 34.6, 31.7, 30.3, 22.4, 
##     21.8, 23.4, 25.3, 26.4, 27.5, 30, 39.8, 41.8, 42.1, 40.3, 
##     24.8, 24.9, 25, 25.4, 25.7, 25.8, 25.8, 25.8, 25.8, 25.9, 
##     26.1, 26.1, 26.3, 26.6, 26.6, 26.8, 26.8, 26.9, 27, 27.3, 
##     27.2, 26.8, 26.5, 26.4, 26.6, 26.7, 27.1, 27.5, 27.5, 27.5, 
##     27.6, 27.5, 27.5, 27.4, 27.4, 27.4, 27.5, 27.5, 27.7, 27.7, 
##     28, 28.1, 28.1, 28.1, 28.3, 28.4, 28.4, 28.5, 28.6, 28.6, 
##     28.6, 28.6, 28.6, 28, 27.7, 27.3, 27.1, 27, 26.8, 25.6, 25.4, 
##     25.1, 24.7, 24.7, 24.8, 25.2, 25.5, 25.9, 26.4, 26.8, 28.5, 
##     30, 33.4, 32.9, 32.9, 32.5, 31.7, 30.1, 30.3, 30.1, 30, 30, 
##     30, 29.9, 29.7, 29.7, 29.6, 30.8, 30.7, 30.5, 30.7, 30.9, 
##     31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28.9, 36.9, 41.4, 
##     48.2, 50.1, 49.4, 48.8, 41.5, 40.1, 38.1, 39.5, 43.5, 45.4, 
##     47.6, 49.8, 20.3, 20.7, 21.4, 23, 27.8, 29.1, 30.6, 33.8, 
##     35.5, 43.2, 44.2, 46, 46.9, 48.7, 49.1, 49.6, 45.4, 44.4, 
##     45.7, 46.2, 46.9, 48.1, 53.8, 53.9, 53.8, 50, 49.1, 47.3, 
##     46, 44.4, 40.2, 36.6, 34.5, 24.6, 18.7, 14.7, 13.9, 13.5, 
##     13.5, 13.8, 14.2, 15.6, 20.6, 21.9, 27.1, 35.2, 45.8, 47.3, 
##     48.3, 49.4, 51.7, 52.4, 52.5, 52.2, 51.6, 48.8, 47.7, 47.7, 
##     47.7, 47.5, 47.4, 47.3, 47.2, 47.3, 47.9, 49.3, 49.9, 53.1, 
##     53.4, 15.6, 16.6, 17.4, 19.7, 25.2, 26.4, 32.6, 44.1, 45.7, 
##     46.9, 47.8, 49.4, 50.5, 50.8, 51.4, 51.6, 51.6, 50.9, 49, 
##     48.5, 43.8, 43.7, 37.3, 26.4, 22.7, 23.1, 24.9, 26.4, 30, 
##     40.1, 44.3, 46.4, 48.3, 53.6, 54.9, 54.9, 54, 53.8, 53.6, 
##     53.2, 53, 52.9, 74.2, 55.1, 47.6, 44.2, 39, 38, 35.3, 23.2, 
##     18.7, 24.5, 25.9, 27, 30, 43.2, 41.3, 36.4, 31.9, 30.3, 28.7, 
##     27.1, 25.3, 18.3, 16.9, 15.6, 12.9, 13.4, 14.1, 14.8, 15.9, 
##     19.2, 20.5, 25.4, 37.1, 41.4, 53.1, 55, 63.9, 63.8, 63.1, 
##     63.4, 66.6, 61, 15.1, 18.3, 19.6, 22.3, 28.5, 41.6, 48.5, 
##     52.5, 53.2, 54.5, 54.5, 54.4, 53.9, 53.6, 53.4, 53.4, 53.4, 
##     53.5, 54.8, 57.1, 44.4, 44.4, 44.1, 42.2, 41.6, 40.9, 43.2, 
##     44.1, 42.4, 54.1, 55.4, 55, 52.8, 51.2, 42.8, 41.7, 36, 33.5, 
##     29.6, 22.2, 21, 20, 16.2, 15.5, 15.4, 50.2, 50.2, 50.2, 50, 
##     49.6, 47.8, 47.2, 44.8, 42.6, 40.5, 37.1, 35.9, 28.3, 24.9, 
##     23.7, 23.1, 29.2, 29.1, 29.1, 29.4, 30.1, 30.5, 30.4, 30.4, 
##     30.3, 30.3, 40.8, 42, 41.4, 41, 38.8, 37.1, 36.1, 34.1, 32.7, 
##     30.5, 26.5, 23.1, 22.9, 23.2, 23.7, 24.1, 41.8, 31.2, 28.6, 
##     27.6, 25.3, 24.5, 24.8, 25, 34.6, 37.3, 37.8, 38.4, 39.3, 
##     40.2, 40.6, 42.5, 43.4, 43.4, 43.9, 43.9, 42.2, 39.2, 29.9, 
##     29.3, 28, 23.2, 9.78, 11.3, 11.8, 12.2, 12.6, 12.9, 15.7, 
##     16.2, 16.6, 15.3, 15.3, 13.7, 13.2, 11.6, 10.8, 9.9, 5.94, 
##     4.99, 4.28, 3.12, 3.07, 3.38, 5.23, 6.86, 7.58, 8.13, 9.36, 
##     9.44, 4.27, 5.73, 6.88, 8.46, 11.3, 11.6, 11.7, 10.4, 9.84, 
##     9.71, 9.85, 10.4, 11.9, 11.8, 11.7, 12, 12.2, 13, 16.3, 21.2, 
##     20.3, 19.5, 18.4, 17.2, 12.7, 8.92, 7.7, 6.54, 3.15, 1.11, 
##     1.05, 1.27, 2.58, 3.93, 10.3, 14.3, 16.3, 18, 20.8, 20, 19.7, 
##     15.9, 16.2, 17, 18.1, 18.4, 18.9, 19.5, 48.7, 46.3, 36.5, 
##     34.7, 36.7, 39.4, 42.9, 55.3, 59.2, 59.2, 55.7, 52.3, 45.2, 
##     43.1, 38.8, 44.9, 48.7, 56.4, 61.9, 54.8, 51.5, 43.4, 37.5, 
##     33.3, 32.4, 30.7, 30.2, 29.5, 49.1, 50, 50.8, 52.9, 48.4, 
##     42, 41.9, 49.7, 54.5, 54.9, 55.4, 56.1, 57.2, 56.8, 55.5, 
##     54.2, 49.8, 46.5, 44.5, 42.8, 41, 25.5, 45, 42.4, 34.3, 32.3, 
##     30.8, 29.8, 30.1, 30.9, 35.1, 36.4, 39.4, 44.9, 49.7, 54.5, 
##     51.3, 37.7, 38.2, 40.6, 44.4, 47.3, 49.6, 50.5, 52.2, 54.1, 
##     53.1, 51.7, 42, 43.6, 47.1, 49, 49.4, 49.2, 25.8, 25.5, 24.8, 
##     22.5, 16.2, 13.2, 11.4, 10.4, 3.6, 2.94, -1.69, -3.77, -5.07, 
##     -6.62, -12.8, -16.9, -20.2, -20, -19.4, -19, -17.9, -18.9, 
##     -18.8, -18.3, -17.9, -4.14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47.3, 44.2, 
##     41.1, 32.4, 27.2, 21.6, 12.6, 8.73, 7.68, 7.37, 7.05, 7.15, 
##     7.62, 7.61, 7.71, 7.69, 7.96, 8.24, 8.63, 9.06, 9.24, 9.48, 
##     9.87, 10.3, 11, 12.2, 15.5, 17.1, 17.8, 19.6, 21.9, 28.6, 
##     33.3, 35.9, 46.9, 48.9, 47.2, 45.3, 42.8, 25.9, 18.6, 15.1, 
##     11.8, 6.09, -0.32, -1.4, -2.33, -1.29, -0.62, 0.29, 8.64, 
##     12.7, 23.1, 29, 35.4, 44.8, 47.3, 38.7, 31.8, 17.9, 11.7, 
##     4.42, 4.93, 5.56, 7.28, 14.6, 17.4, 34.7, 39.3, 44, 43.8, 
##     38.8, 37, 34.8, 29.2, 10.8, 4.95, 6.55, 8.02, 10.2, 11.6, 
##     14.9, 21.2, 25.9, 45.3, 48.1, 53.2, 51.9, 50.1, 34.1, 31.8, 
##     22.5, 20.4, 15.3, 12.6, 11.3, 12.3, 25.7, 27.9, 33.3, 10.7, 
##     6.25, 2.68, 3.64, 23.2, 41.5, 7.48, 11.2, 13.1, 18.1, 25, 
##     32.7, 38.2, 41.3, 48.2, 49.4, 47.1, 45.7, 41.9, 39.6, 37.3, 
##     32.7, 28.6, 21.7, 19.3, 21.5, 22.8, 37.2, 41.4, 40.1, 27, 
##     20.9, 15.2, 11.1, 12.4, 13.4, 13.6, 14.4, 17, 22.9, 32.5, 
##     38.3, 40.5, 42.8, 45.2, 34.2, 23.7, 22.8, 24.5, 27.2, 27.9, 
##     29.2, 30.1, 31.2, 32.3, 35, 46.7, 47.8, 47.9, 43.8, 33.2, 
##     24.1, 12.6, 7.55, 7.5, 7.95, 9.4, 14.1, 30, 47.8, 45.9, 34.9, 
##     32.9, 33.5, 40.2, 42.5, 47.4, 49.3, 3.22, 0.75, -9.25, -8.33, 
##     -7.38, -2.73, -0.36, 8.3, 23.2, 25.7, 35.2, 40.3, 41.5, 28.1, 
##     28.7, 30.6, 32.4, 32.8, 38.7, 45.1, 47.7, 48.5, 48.1, 47.5, 
##     44.1, 42.2, 29.2, 24.7, 19.7, 17.6, 15.2, 12.6, 3.7, 6.08, 
##     23.8, 29.2, 31.6, 35.2, 36.4, 39.4, 40.4, 39.4, 37.1, 30.1, 
##     30, 30.7, 31.2, 33, 34.7, 35.7, 39.8, 43, 46.1, 47.6, 48.9, 
##     51.2, 53.4, 52.8, 38.1, 27.4, 22.7, 18.1, 16, 7.43, 6.57, 
##     5.46, 6.13, 7.93, 8.38, 9.47, 9.73, 9.79, 9.72, 9.64, 9.5, 
##     9.08, 8.89, 8.97, 9.11, 9.46, 9.92, 11.7, 17.2, 18.1, 20.5, 
##     27.4, 29.4, 33.6, 35.3, 37.8, 37.7, 37.7, 37.7, 37.7, 38.2, 
##     38.4, 38.6, 39.1, 41.1, 41.5, 41.8, 43.1, 42.7, 55.5, 54, 
##     45, 38.5, 34.3, 34.9, 35.5, 36.2, 37.1, 38.1, 41.8, 47.8, 
##     55.7, 46, 40.7, 45.2, 57, 62.9, 63.5, 53.4, 51.8, 51.2, 50.7, 
##     48.3, 46.7, 40.8, 35.7, 29.2, 24.4, 12.5, 0.98, -0.73, -5.83, 
##     -6.82, -8.59, -4.64, -2.97, 3.45, 6.09, 15.5, 19.2, 22.6, 
##     39.1, 50.1, 52.5, 46.1, 41.6, 13.6, 20.9, 28.3, 36.3, 44, 
##     51.1, 55.2, 45.2, 41.7, 35.2, 28.2, 4.59, 0.3, -4.24, -8.37, 
##     -9.38, -4.31, -0.15, 2.38, 42.1, 44.2, 40.1, 30.7, 25.9, 
##     22.7, 18.4, 25.2, 29.8, 42.6, 47.7, 40.9, 39.2, 36.7, 78.4, 
##     76.8, 62.9, 62.3, 62.7, 63.3, 67.3, 70.3, 72.2, 81.5, 89.8, 
##     75.2, 73, 71, 69.3, 67.2, 62.7, 52.1, 50.4, 43.4, 42, 40.9, 
##     39.8, 33.5, 32.3, 44.6, 52.7, 58.9, 67.8, 70.8, 85, 84.1, 
##     82.6, 80.9, 73.5, 69.3, 66.3, 63.1, 60.3, 56.5, 56.6, 56.9, 
##     65.7, 67.3, 72.2, 49.6, 46.6, 45.4, 43, 40.8, 24.2, 22.1, 
##     18.6, 24.5, 26.3, 43.4, 45.2, 46.5, 49.7, 55.7, 62, 63.2, 
##     65.1, 67.9, 69.1, 76.1, 65.6, 56.9, 39.6, 33.6, 26.8, 21.7, 
##     19.4, 15.8, 13.1, 12.4, 11.2, 8.18, 6.64, 6.45, 6.75, 7.82, 
##     8.01, 8.87, 10.5, 11.4, 13.5, 17.9, 18.2, 18.7, 18.8, 16, 
##     16.4, 22.5, 27.4, 29.8, 34.9, 37.7, 40, 42.3, 46.4, 47.7, 
##     47, 41.5, 26.3, 20.8, 13.6, 8.55, -6.53, -6.91, -6.85, -4.6, 
##     -3.56, -0.75, 2.74, 10.4, 22.5, 27.6, 38.7, 41.9, 50, 50.8, 
##     44.7, 42.8, 38.9, 21.1, 15.4, 9.75, 10.3, 15.8, 17.4, 23.8, 
##     29.6, 33.3, 37, 39.2, 44.3, 43.8, 38.9, 36.4, 34.4, 29.4, 
##     26.8, 19, 11.4, 7.43, 2.3, 2.05, 3.47, 6.91, 10.2, 14.1, 
##     27.7, 39.6, 51.5, 51.6, 28.2, 20.6, 20.2, 20.2, 20.7, 29.2, 
##     41.6, 43.4, 47, 49.8, 44.5, 42.7, 36.9, 33.1, 29.6, 26.1, 
##     7.69, -5.05, -2.09, -0.32, 3.44, 7.3, 11.7, 23.4, 36.8, 42.9, 
##     46.6, 48.5, 55.3, 44.8, 41.9, 40.1, 21, 21.1, 25.7, 28.2, 
##     29.3, 37.6, 44.7, 48.5, 51.7, 51.4, 43.8, 36.3, 32, 24, 21.7, 
##     13.8, 6.43, -0.27, -2.34, -3.5, -2.69, -0.6, 0.83, 11, 18, 
##     23.7, 26.4, 33.1, 46.7, 48.5, 52.9, 54.8, 58.8, 47.3, 43.4, 
##     32, 29.4, 28.2, 25.9, 26.5, 27.3, 41.2, 46, 49.5, 56.6, 56.9, 
##     56.5, 55.4, 42.7, 34.9, 32.4, 29.9, 22.6, 11.6, 7.76, 3.67, 
##     -7.43, -12.5, -13.7, -14.6, -15.8, -15.4, -14.9, -12.4, -10.2, 
##     -7.28, -3.83, -1.98, 0.12, 2.36, 4.84, 7.21, 22.9, 24.7, 
##     25.8, 27, 30.7, 31.5, 35.8, 47.8, 51.6, 44.4, 42.1, 30.3, 
##     19.6, 10.7, 6.4, 4.72, -2.75, -8.69, -9.79, -10.8, -12, -3.24, 
##     -1.78, 3.47, 7.71, 10.2, 15.3, 33.2, 48.6, 57.1, 57.5, 57.6, 
##     57.3, 53.4, 49.2, 47.6, 45.8, 41.6, 36.9, 29.2, 33.8, 35.5, 
##     41.8, 43.6, 46.9, 48.4, 54.1, 55.5, 49.7, 47, 41.6, 31.7, 
##     27.4, 23.2, 17.9, 9.44, 4.91, 0.22, -16.8, -16, -14.1, -11.7, 
##     -10.3, -3.82, -0.24, 13.4, 16.3, 27.6, 54.2, 54.5, 53.9, 
##     53.2, 48.4, 36.1, 33.5, 32.4, 28.6, 27.2, 24.3, 24.8, 28.7, 
##     30.8, 44.6, 47.6, 50.6, 58.1, 41.3, 25.5, 23.2, 21, -0.43, 
##     -4.58, -6.5, -13.1, -13.9, -14.3, -11.6, -10.4, -9.05, -7.41, 
##     3.79, 8.42, 11, 13.8, 16.2, 22.1, 47.6, 56.9, 60.1, 60.5, 
##     48, 44.3, 38.8, 28.3, 26.5, 26.5, 28.5, 32.4, 36.9, 51.6, 
##     55, 56.2, 56.8, 50, 48.4, 30.5, 18.7, 12.3, 9.07, -12.3, 
##     -15.7, -10.3, -4.23, -0.38, 1.92, 4.35, 9.65, 37.1, 40.9, 
##     65.9, 66.3, 64.5, 57.8, 41.8, 40, 36.1, 34.2, 9.71, 9.31, 
##     8.94, 8.87, 8.82, 5.14, 0.89, 0.39, 2.2, 2.68, 3.12, 3.75, 
##     4.11, 4.54, 4.74, 5.12, 5.58, 7.05, 7.37, 8.42, 7.98, 7.68, 
##     7.55, 7.42, 7.21, 6.72, 6.3, 5.98, 4.6, 7.89, 8.99, 20.6, 
##     20.5, 20.2, 19.8, 17.2, 14.2, 13.7, 13.4, 14.6, 14.4, 10.6, 
##     10.8, 11.8, 11.8, 14.7, 15.9, 18.2, 18.5, 14.5, 18, 18.8, 
##     18.8, 18.2, 17.1, 15.9, 15.6, 15.5, 15.5, 12.9, 12.9, 11.9, 
##     11.7, 12, 12.3, 12.7, 12.7, 12.8, 13.6, 13.9, 14.6, 14.9, 
##     15.7, 16.2, 16.3, 16.1, 15.9, 16.1, 14.9, 15.2, 15.6, 15.2, 
##     14.6, 14.1, 13.7, 13.3, 11.5, 11.5, 12.4, 12.3, 15.6, 18.1, 
##     18, 17.3, 19.5, 19.6, 19.5, 19.1, 17.6, 17.5, 17.6, 18.1, 
##     17.2, 16.8, 16.8, 16.9, 16.7, 16.5, 15.8, 15, 14.7, 14.2, 
##     13.9, 17.3, 18.2, 18.7, 23.4, 23.1, 22.6, 21.8, 19.9, 17.9, 
##     17.4, 16.5, 16, 15.5, 14.8, 12.9, 12.8, 12.5, 10.9, 10.4, 
##     10.3, 9.76, 9.16, 10.4, 12, 12.7, 14.2, 14.8, 15.5, 15.2, 
##     14.8, 12.7, 11.3, 13.5, 14.3, 15.6, 14.4, 13.8, 13.7, 13.9, 
##     14.4, 15.4, 15.2, 13, 11.8, 10.9, 9.38, 9.75, 10.2, 12.3, 
##     11.9, 11.9, 11.9, 11.9, 11.9, 10.8, 11.3, 12.7, 18.3, 19, 
##     19.9, 19.7, 19.4, 18.3, 18.7, 17.5, 17, 16.5, 15.6, 15.1, 
##     14.4, 12.5, 12.1, 11.7, 10, 9.54, 8.91, 8.33, 8.23, 7.96, 
##     7.96, 8.09, 7.92, 6.68, 6.5, 6.47, 9.04, 9.8, 18.9, 18.8, 
##     17.4, 18.8, 20.8, 21.5, 20.5, 18.3, 15.7, 14.2, 13.2, 13.8, 
##     13.8, 13.2, 10.6, 10.3, 10.3, 11.6, 15.1, 27.8, 32.9, 37, 
##     40.6, 42.5, 42.9, 43.9, 42.7, 41.8, 42, 42.3, 42.5, 42.8, 
##     42.8, 42.5, 41.3, 41, 41, 40.4, 40.3, 40, 39.8, 39.7, 39.4, 
##     34.9, 34.8, 34.2, 33.5, 32.8, 32.4, 28.6, 28.3, 27.3, 27.3, 
##     27.4, 27.5, 27.5, 31.3, 31.5, 31.7, 32.1, 32.2, 32.4, 32.6, 
##     32.6, 32.8, 32.6, 32.4, 32.3, 32.3, 32.1, 29.5, 28.1, 27.2, 
##     25.3, 24.3, 20.6, -3.09, -3.44, -4.2, -4.89, -3.16, 4.08, 
##     9.85, 19.7, 26.9, 30.1, 38.5, 32.8, 16.9, 30.9, 36.1, 26.5, 
##     9.28, 6.89, 3.8, -3.26, -6.3, -6.57, -6.38, -2.77, 1.3, 3.8, 
##     9.23, 18.6, 21.6, 28.8, 31, 26.3, 24.5, 23.1, 22.2, 21.4, 
##     20.9, 22.6, 23.5, 24.1, 16, 9.72, 3.11, -1.14, -1.71, -3.04, 
##     -2.9, -2.42, 3.54, 11.7, 19, 20.7, 24.2, 24.4, 23.9, 24, 
##     25.4, 27.4, 27.6, 22.7, 18, 15.6, 10.9, 9.04, 3.27, -1.88, 
##     -5.74, -3.56, -3.76, -4.08, -5.45, -6.16, -6.16, -6.09, -5.46, 
##     -0.54, 7.5, 9.52, 13.7, 16.9, 18.3, 23.8, 22.3, 22, 22, 21.7, 
##     21.8, 22.4, 14.9, 2.76, -0.13, -2.2, -8.74, -8.22, -6.68, 
##     -4.32, -1.16, 23, 24.5, 27.5, 28.3, 28.8, 28.9, 28.8, 28.3, 
##     27.7, 26.8, 14.8, 13.5, 3.11, 0.84, -7.03, -7.01, -6.6, -6.53, 
##     -7.03, -5.97, 1.06, 2.8, 2.8, 4.75, 9.19, 11.5, 15.9, 16.9, 
##     22.3, 24.5, 24.5, 26.1, 27.3, 28.4, 29.4, 30.2, 30.9, 25.4, 
##     20.7, 18.2, 15.5, 7.75, -1.63, -11.3, -11.2, -11.3, 0.07, 
##     2.74, 10.8, 17.2, 23.4, 29.1, 29.7, 30.2, 24.5, 23.8, 9.49, 
##     1.18, -1.25, -2.62, -14.2, -13.1, -13.1, -13.7, 3.54, -7.58, 
##     -7, -6.83, -7.07, -7.62, -7.4, -6.1, -4.23, -3.06, 4.47, 
##     6.6, 8.87, 15.7, 18.6, 30.3, 30.8, 31, 31.3, 26.8, 21.7, 
##     21.3, 13.5, -2.66, -3.93, -7.31, -11.1, -11.1, 3.88, 1.52, 
##     -0.74, -6.77, -6.38, -6.55, -8.53, -9.37, -9.59, -9.5, -8.95, 
##     -5.88, -5.83, -5.5, -5.44, -5.51, -5.65, -5.79, -5.85, -6.05, 
##     -6.17, -6.24, -6.24, -6.45, -6.39, -6.16, -5.93, -5.91, -5.9, 
##     -5.54, -5.46, -5.29, -5.29, -5.27, -5.03, -4.69, -4.58, -4.46, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 37.8, 27.4, 20.6, 21.1, 31.2, 33.1, 37.2, 
##     44.2, 42.3, 39.4, 26.8, 18.4, -1.95, -5.14, -4.64, -4, 15.6, 
##     24.6, 15.1, 13.4, 6.01, 3.84, 1.97, 2.52, 8.14, 9.82, 18.4, 
##     25.4, 27.5, 32.6, 34.9, 34.6, 33.8, 32.7, 31.8, 28.3, 26.6, 
##     24.5, 22.1, 23.8, 25.3, 28.5, 31.3, 27, 21.5, 13.7, 12, 6.89, 
##     5.65, 3.53, 1.41, -0.18, 8.17, 10.3, 19.1, 27.5, 29.4, 31, 
##     32.7, 27.4, 19.8, 23.8, 25.7, 29.3, 31.5, 34.9, 30.4, 22.9, 
##     18.3, 15.1, 13.9, 11.3, 8.68, -3.62, -3.88, -3.45, 22.8, 
##     21, 19.4, 14.3, 11.2, 5.39, 3.79, -1.9, -2.99, -2.74, 3.55, 
##     8.26, 9.84, 13.3, 22.2, 18, 12, 8.96, 7.19, 4.4, 3.07, 0.26, 
##     -4.38, -5.87, -6.08, -5.96, -4.09, -3.08, -2.07, -0.77, 1.84, 
##     5.79, 12.6, 14.4, 17.4, 21.8, 20.7, 18.9, 16.5, 16.3, 18.1, 
##     19.7, 20, 22.9, 17.5, 11.4, 21.7, 21, 20.3, 14.3, 12.8, 12.1, 
##     11.1, 10.4, 6.28, 6.23, 6.12, 6.23, 7.49, 9.27, 9.41, 8.93, 
##     8.83, 8.81, 8.88, 9.61, 11.4, 11.8, 11.9, 11.6, 11.7, 12, 
##     12.3, -4.28, -4.18, -3.6, -2.91, -2.84, -2.78, -2.71, -2.65, 
##     -2.55, -2.49, -2.41, -2.39, -2.41, -2.42, -2.4, -2.23, -2.23, 
##     -2.2, -3.92, -4, -4.1, -4.39, -4.28, -4.25, -4.42, -4.42, 
##     -4.74, -4.67, -4.58, 9.93, 13, 16, 22.2, 49.8, 49.9, 48.1, 
##     42.3, 37, 35.2, 33.6, 32.2, 31.3, 28.1, 24.6, 23.7, 23.1, 
##     -8.74, -7.86, -7.6, -7.46, -6.88, -6.75, -6.72, -6.74, -6.8, 
##     -6.87, -6.98, -7.07, -6.66, -6.63, -6.33, -6.1, -5.9, -11.5, 
##     -12, -12.6, -13.3, -13.2, -12.6, -3.07, 19.2, 20.8, 22.4, 
##     26.7, 27.9, 29.5, 30.5, -14.3, -13.2, -5.52, -2.88, 2.35, 
##     5.67, 5.67, 12.1, 15.6, 21.8, 24.1, 28.6, 30.7, 32.2, 29.5, 
##     27.4, 22.1, 13.2, 10.4, 12, 9.34, 3.44, 2.25, -3.59, -4.09, 
##     -5.04, -4.92, -4.77, -4.48, -4.48, -4.21, -3.76, -2.87, 39, 
##     38.2, 37.4, 37.3, 37.1, 36.8, 36.8, 36.4, 36.3, 36.2, 36.1, 
##     36.1, 35.7, 35.6, 11, 12.4, 15.8, 12.6, 14.3, 14.1, 14.1, 
##     14, 14.2, 14.1, 13.5, 13.2, 13, 12.9, 12.8, 12.8, 12.8, 19.3, 
##     19.1, 16.7, 16.7, 17, 17.3, 18, 18.6, 18, 17.5, 15.8, 15, 
##     2.21, 1.83, 2.66, 2.41, -5.42, -2.82, 3.05, 4.62, 5.53, 6.51, 
##     9.49, 10.9, 12, 12.4, 12.9, 17.7, 18.5, 20.2, 21, 20.7, 23.9, 
##     24.2, 24.1, 23.5, 23.4, 23.5, 22.5, 21.2, 27.5, 28.2, 29.5, 
##     32.1, 29.4, 3.58, 5.28, 7.03, 11.1, 24.2, 25.5, 25.3, 25, 
##     24.7, 22.5, 22.6, 29.9, 31.4, 33.1, 34.4, 26.9, 19.8, 23.5, 
##     25.4, 33.8, 32.3, 29.6, 19.5, 21.6, 28.2, 30.4, 32.6, 42.3, 
##     30, 21.1, 12.4, 9.59, 8.08, 5.64, -0.99, 1.02, 1.95, 7.56, 
##     8.96, 18.2, 19.9, 17.3, 11.3, 0.18, -4.76, -6.01, -6.27, 
##     -5.97, 18, 30.6, 36.1, 37.2, 38.4, 36.3, 43.6, 35.6, 34.2, 
##     30.4, 32.2, 33.1, 34.3, 34.6, 39.8, 44.1, 45, 40, 37.9, 35, 
##     52.8, 39.5, 33.5, 17, 5.12, 4.43, 4.47, 6.01, 8.9, 14.8, 
##     17.5, 26.4, 31.9, 36.6, 43.8, 14.5, 19.5, 27, 29.5, 32, 34.8, 
##     42.1, 45.3, 41.4, 38.8, 13.1, 10.9, 8.89, 7.6, 7.17, 8.74, 
##     10.1, 10.6, 12.8, 17.3, 19, 21.1, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0), yaw_forearm = c(-152, -152, 
##     -152, -152, -152, -152, -151, -151, -151, -151, -151, -151, 
##     -151, -151, -151, -151, -151, -151, -151, -151, -151, -150, 
##     -150, -150, -150, -150, -150, -150, -149, -149, -149, -149, 
##     -149, -149, -149, -149, -149, -149, -149, -149, -149, -149, 
##     -149, -149, -147, -147, -147, -147, -147, -147, -147, -147, 
##     -147, -147, -147, -147, -147, -147, -147, -147, -147, -147, 
##     -147, -147, -146, -146, -146, -146, -146, -146, -146, -146, 
##     -146, -146, -146, -146, -146, -146, -146, -145, -145, -145, 
##     -145, -145, -145, -145, -145, -145, -144, -144, -144, -144, 
##     -144, -144, -143, -143, -143, -143, -143, -143, -143, 108, 
##     108, 108, 107, 107, 107, 107, 106, 106, 106, 106, 106, 107, 
##     107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 
##     107, 107, 107, 107, 108, 108, 108, 108, 108, 107, 107, 108, 
##     108, 108, 108, 108, 109, 108, 108, 109, 109, 109, 109, 109, 
##     108, 108, 107, 106, 103, 102, 101, 100, 99, 99, 100, 104, 
##     105, 108, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 
##     108, 108, 107, 107, 107, 107, 108, 107, 106, 106, 105, 105, 
##     105, 106, 106, 105, 105, 105, 105, 105, 105, 105, 105, 105, 
##     104, 105, 105, 105, 105, 105, 104, 104, 103, 103, 103, 104, 
##     104, 104, 103, 102, 102, 102, 102, 102, 102, 102, 102, 102, 
##     102, 102, 102, 102, 102, 102, 101, 101, 142, 168, -99.2, 
##     -89.3, -86.9, -84.4, -84.6, -88.2, -93.2, -94.5, -98.7, 111, 
##     97.9, 92.5, 90.2, 86.8, 80.1, 76.7, 76.2, 79.7, 80.6, 81.4, 
##     84.4, 85.6, 89.5, 90.4, 92.7, 93.6, 95.5, 97.7, 101, 104, 
##     110, 113, 167, -174, -140, -117, -114, -112, -108, -107, 
##     -115, -117, -120, -127, 85, 81.3, 78.4, 76.8, 76, 73.3, 73.4, 
##     74.5, 74.8, 77.3, 82.7, 83.6, 87.3, 88.2, 90.9, 91.8, 92.8, 
##     93.5, 96.3, 100, 106, 123, 152, 168, 79.2, 78.2, 76.7, 75.5, 
##     75.2, 75, 74.7, 74.2, 74.2, 74.2, 80.4, 81.3, 82.1, 82.9, 
##     86, 87.9, 90.2, 91.1, 99.4, 102, 106, 108, 125, -170, -125, 
##     -107, -103, -100, -102, -103, -105, -112, -119, -122, -124, 
##     -128, -133, 125, 115, 88.6, 86.3, 83.9, 81.5, 79.1, 78.4, 
##     78, 77.5, 77.1, 76.9, 78.3, 77.9, 77.6, 77.9, 78.7, 79.5, 
##     81.1, 83.1, 98.1, 114, 165, -160, -120, -118, -116, -111, 
##     -112, 80, 80.8, 82.8, 89.2, 90.7, 99.5, 101, 123, 143, 158, 
##     167, -175, -167, -160, -139, -133, -121, -114, -114, 80.5, 
##     81.8, 84.5, 88.6, 93.1, 94.7, 111, -129, -178, 170, 161, 
##     136, 129, -170, -152, -147, -129, -123, -142, -152, -158, 
##     -166, 165, 140, 124, 102, 100, 89.4, 86.7, 85.2, 84.9, 81.9, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, -106, -98.5, -92.8, -74.8, -71.3, -70.1, -70.1, -71, -73, 
##     -81.6, -88.7, -102, -110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 125, 126, 126, 
##     126, 127, 128, 128, 128, 129, 130, 130, 131, 132, 132, 132, 
##     133, 133, 133, 133, 134, 136, 137, 137, 138, 138, 139, 139, 
##     139, 140, 140, 141, 141, 142, 142, 142, 143, 149, 149, 149, 
##     150, 150, 150, 150, 151, 151, 151, 152, 152, 152, 155, 156, 
##     157, 157, 157, 157, 156, 156, 157, 157, 158, 158, 159, 159, 
##     159, 159, 159, 159, 159, 157, 156, 149, 137, 79.3, 39.2, 
##     35.6, 29.5, 26.6, 7.16, 4.65, -1.77, -3.33, -5.5, -5.55, 
##     -5.47, -5.67, -5.38, -3.85, -3.15, -2.31, 0.53, 5.92, 7.38, 
##     11.2, 15.5, 37.2, 59.9, 64.3, 83.7, 87.1, 90.4, 100, 103, 
##     105, 107, 110, 117, 132, 136, 139, 139, 139, 140, 139, 139, 
##     138, 131, 125, 113, 85.6, 73.7, 48.6, 31.4, 21.5, 17.4, 13.1, 
##     5.34, -7.83, -13.6, -16.6, -22, -28, -32.6, -33.2, 119, 125, 
##     127, 128, 129, 129, 128, 126, 125, 124, 123, 117, 115, 93.6, 
##     88.7, 66.7, 17.4, -0.69, -8.45, -11.7, -27.4, -30.6, -38.5, 
##     -38, -37.7, -38.1, -38.4, -32.2, -28.8, -25.2, -10, 4.46, 
##     8.19, 17.8, 22.3, 129, 129, 129, 127, 121, 117, 115, 113, 
##     95.6, 91.4, 76.3, 37.5, 24.4, 11.6, 5.95, -34, -42.5, -48, 
##     -46.2, -43.9, -40.6, -38.4, -28.8, -17.1, 18.8, 32.7, 58, 
##     62.9, 66.7, 75.2, 86.4, 92.9, -3.36, 0.13, 25, 42.6, 46.6, 
##     50.5, 66.8, 86.5, 89.5, 109, 112, 117, 118, 118, 119, 118, 
##     89.7, 85.9, 65.6, 53.3, 26.9, 13.6, -14.9, -28.6, -57.5, 
##     -59.1, -59.8, -59.4, -57.6, -53.6, -52.2, -48.4, -26.7, 1.64, 
##     9.37, 30.7, 44.3, 60.6, 68, 71.8, 81.8, 84.6, 87.3, 90.1, 
##     94.8, 106, 108, 110, 112, 113, 114, 114, 114, 114, 113, 113, 
##     112, 110, 107, 102, 99.9, 86.5, 79.9, 76.5, 72.2, 58, 22.1, 
##     16.3, -30.6, -38.5, -58.7, -64.5, -64.8, -63.5, -57.9, -50.7, 
##     -45, -41.7, -21.6, -18, -14.5, -10.7, 110, 108, 105, 104, 
##     92.7, 72.4, 44.5, 38.6, 32.7, 20.5, -9.12, -19.7, -25.1, 
##     -29.9, -38.9, -52, -56.1, -66.5, -65.1, -48.8, -42.2, -20.7, 
##     -2.67, 48.7, 53.2, 98.3, 102, 109, 109, 109, 109, 105, 104, 
##     100, 98.3, 96.2, 92.1, 84.8, 79.2, 66.7, 41.8, 31.7, 21.1, 
##     0.61, -4.21, -23.3, -27.6, -40.6, -53.5, -57, -64.5, -53.5, 
##     -46.4, -16.3, 1.23, 7.02, 10.5, 46, 69.3, 89.8, 92.9, 102, 
##     105, 112, 115, 117, 120, 120, 101, 98.6, 66.2, 61.3, 55.9, 
##     -50.7, -56.2, -57, -55.5, -51, -45.9, -40.5, -25, -12, -8.6, 
##     -1.89, 20.4, 24.5, 37.7, 59.4, 66.9, 70.5, 168, 168, 171, 
##     170, 169, 168, 169, 169, 169, 170, 170, 170, 169, 168, 167, 
##     167, 167, 168, 168, 167, 167, 165, 166, 166, 166, 166, 165, 
##     166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 165, 165, 
##     165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 
##     165, 165, 165, 165, 165, 165, 165, 165, 165, 164, 164, 164, 
##     164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
##     164, 164, 163, 163, 164, 164, 164, 165, 164, 164, 164, 164, 
##     164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
##     164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
##     164, 164, 164, 165, 165, 164, 164, 164, 164, 164, 164, 164, 
##     164, 163, 163, 163, 163, 163, 163, 163, 164, 164, 164, 163, 
##     163, 163, 163, 163, 163, 163, 163, 162, 162, 163, 163, 162, 
##     163, 162, 163, 163, 167, 167, 166, 166, 166, 166, 167, 167, 
##     166, 166, 165, 165, 165, 165, 165, 165, 165, 164, 164, 164, 
##     164, 164, 164, 164, 164, 163, 163, 163, 164, 164, 164, 164, 
##     164, 164, 163, 163, 163, 163, 163, 162, 162, 162, 162, 162, 
##     162, 162, 161, 160, 160, 160, 160, 160, 160, 160, 160, 160, 
##     160, 159, 159, 159, 159, -143, -143, -143, -143, -143, -142, 
##     -142, -142, -142, -142, -142, -142, -142, -141, -141, -141, 
##     -141, -140, -140, -140, -140, -140, -140, -140, -140, -140, 
##     -140, -140, -139, -139, -139, -139, -139, -139, -139, -139, 
##     -139, -138, -138, -138, -138, -138, -138, -139, -139, -139, 
##     -139, -139, -139, -138, -138, -138, -138, -138, -138, -139, 
##     -139, -139, -139, -139, -139, -139, -138, -138, -138, -138, 
##     -138, -138, -138, -137, -137, -137, -137, -136, -136, -136, 
##     -136, -136, -137, -137, -137, -137, -137, -137, -138, -138, 
##     -138, -138, -138, -138, -137, -137, -137, -137, -137, -137, 
##     -137, -137, -137, -138, -138, -138, -138, -138, -138, -138, 
##     -138, -137, -137, -137, -137, -137, -137, -138, -138, -138, 
##     -139, -139, -139, -140, -148, -155, -167, -168, -172, -174, 
##     -175, -177, 178, 174, 173, 171, 170, 162, 157, 148, 146, 
##     135, 131, 115, 106, 104, 94.8, 79.5, 76.7, 76.2, 79.7, 82.8, 
##     86.2, 99, 101, 112, 115, 118, 123, 139, 147, 149, 164, 169, 
##     -175, -167, -159, -152, -151, -146, -143, -141, -135, -134, 
##     -133, -132, -133, -135, -141, -143, -146, -171, -173, -177, 
##     -180, 174, 154, 148, 145, 140, 96.4, 91.1, 91.4, 94.1, 112, 
##     115, 118, 123, 128, 135, 141, 146, 162, 168, 174, 178, -167, 
##     -166, -160, -155, -144, -147, -150, -158, -163, -180, 161, 
##     153, 146, 130, 122, 97, 93.4, 90.9, 93.5, 97.2, 113, 117, 
##     128, 131, 150, 153, 164, 167, 179, -176, -171, -171, -170, 
##     -166, -170, -173, -175, 178, 176, 169, 166, 158, 149, 142, 
##     139, 132, 120, 115, 99.6, 83.8, 78.2, 91.8, 102, 114, 148, 
##     163, 171, 176, 97.4, 60.9, 67.2, 80.4, 97, 109, 134, 138, 
##     148, 154, 156, 159, 161, 162, 163, 166, 166, 167, 170, 172, 
##     173, 173, 172, 170, 167, 164, 158, 154, 153, 131, 125, 120, 
##     111, 99.8, 94.1, 82.5, 44.1, 42.1, 45.1, 48, 56.1, 59.9, 
##     64.6, 75.9, 115, 125, 130, 133, 134, 138, 140, 141, 143, 
##     142, 140, 139, 139, 139, 140, 143, 143, 140, 140, 139, 136, 
##     129, 127, 125, 116, 108, 78.7, 69.8, 8.22, 10.3, 12.4, 15.7, 
##     38.4, 73, 83.5, 107, 125, 127, 128, 128, 129, 129, 128, 128, 
##     128, 129, 129, 130, 129, 127, 125, 124, 126, 127, 127, 129, 
##     129, 129, 130, 120, 118, 110, 48.5, -3.36, -4.96, -1.9, 3.9, 
##     4.82, 7.06, 93.9, 117, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 160, 160, 160, 160, 159, 159, 159, 159, 159, 160, 160, 
##     160, 160, 160, 159, 159, 160, 160, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 160, 160, 160, 160, 159, 159, 159, 159, 
##     159, 160, 160, 160, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 158, 158, 158, 158, 158, 158, 158, 158, 
##     158, 158, 159, 158, 158, 159, 159, 158, 157, 157, 157, 159, 
##     159, 159, 159, 159, 159, 160, 160, 160, 160, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 160, 160, 160, 160, 160, 
##     160, 159, 159, 158, 158, 158, 158, 157, 157, 156, 156, 155, 
##     155, 155, 155, 155, 155, 155, 155, 155, 155, 155, 154, 154, 
##     154, 154, 154, 154, 154, 154, 154, 153, 153, 153, 153, 153, 
##     153, 153, 153, 153, 153, 152, 151, 150, 149, 148, 147, 147, 
##     145, 144, 143, 128, 108, 102, 95.4, 75.7, 63.3, -6.46, -11.6, 
##     -0.04, 10.6, 23.4, 54.5, 74.8, 88.6, 92.3, 96.5, 96.8, 98.4, 
##     99.3, 99.9, 104, 106, 106, 109, 110, 111, 115, 116, 117, 
##     117, 117, 118, 117, 116, 105, 98.4, 89.9, 83.9, 62.5, 55.3, 
##     46.1, 24.3, 13, -30.5, -29.2, -15.7, -8.02, 33.2, 54.8, 65.5, 
##     87.5, 93.5, 93.5, 95, 95.9, 96.5, 100, 107, 108, 109, 110, 
##     111, 111, 112, 114, 115, 115, 110, 93.5, 87.2, -11.9, -44.2, 
##     5.88, 43.3, 74.7, 97, 96.9, 96.8, 96.2, 96, 94.5, 94.5, 94.6, 
##     94.5, 95.3, 95.9, 101, 104, 113, 115, 115, 113, 113, 118, 
##     -69.9, -66.9, -66.7, -67, -71.3, -76.9, -129, 140, 123, 121, 
##     117, 110, 109, 107, 101, 98.3, 89.5, 89.3, 96.8, 105, 113, 
##     115, 117, 124, 173, -117, -133, -145, 138, 105, 102, 94.7, 
##     92.6, 89.3, 82, 82.3, 90.1, 91.5, 99.7, 102, 106, 118, 120, 
##     126, 129, 135, 144, 148, 168, -159, -147, -168, 172, 163, 
##     151, 113, 111, 110, 97.4, 86.7, 81.2, 72.5, 71.7, 73, 75.5, 
##     76.9, 87, 89, 96.9, 105, 120, 122, 126, 128, 132, 134, 136, 
##     138, 150, 154, -179, 175, 170, 138, 134, 124, 121, 98.9, 
##     86, 76.8, 79.3, 84.8, 85.7, 89.8, 101, 103, 115, 117, 120, 
##     122, 129, 139, 141, 150, 153, 170, 175, 179, -176, -170, 
##     173, 154, 129, 117, 115, 109, 95.7, 92.9, 78.7, 76.2, 73.8, 
##     71, 70.3, 73.5, 76.3, 77.8, 81.7, 83.8, 89.4, 98.4, 123, 
##     129, 132, 135, 154, 158, 166, -173, -167, -161, -165, 157, 
##     152, 133, 121, 106, 102, 96.6, 94.5, 84.3, 72.3, 71.7, 70.6, 
##     68.6, 68.1, 68.4, 75.2, 82.9, 85.5, 120, 168, -165, -165, 
##     -172, -176, 179, 132, 128, 120, 111, 98.7, 58.3, 58.8, 82.5, 
##     84.6, 88.3, 93.2, 93.5, 94.2, 94.6, 97.2, 97.6, 98.6, 100, 
##     101, 104, 108, 108, 109, 113, 113, 114, 114, 115, 115, 117, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, -82.5, -82.5, -82.5, -82.5, -82.5, -82.5, -82.5, 
##     -82.5, -82.6, -82.6, -82.6, -82.6, -82.6, -82.6, -82.6, -82.5, 
##     -82.2, -82.2, -82.2, -82.2, -82.1, -81.8, -81.9, -82, -81.8, 
##     -81.8, -81.9, -82.1, -82.2, -82.3, -82.5, -83, -83, -83.2, 
##     -83.5, -83.2, -82.8, -82.7, -82.5, -82.5, -82.6, -82.5, -82.5, 
##     -82.2, -82.1, -82.1, -82.1, -82.1, -82.1, -82, -81.7, -81.3, 
##     -81.2, -81.2, -81.2, -81.2, -81.1, -80.9, -80.9, -80.9, -80.9, 
##     -81.2, -81.3, -81.4, -81.5, -81.6, -81.7, -81.8, -81.8, -81.9, 
##     -82, -82.1, -82.1, -82, -82, -82, -82, -82, -81.9, -81.4, 
##     -81.3, -80.7, -80.8, -81.1, -81.1, -81.2, -81.2, -81.4, -81.4, 
##     -81.4, -81.6, -81.9, -81.9, -81.9, -82, -82, -82.1, -82.2, 
##     -82.2, -82.2, -82.3, -82.4, -82.5, -82.5, -82.5, -94.9, -108, 
##     -116, -118, -123, -123, -122, -121, -121, -121, -118, -118, 
##     -117, -117, -116, -115, -114, -113, -111, -108, -108, -107, 
##     -107, -107, -107, -107, -106, -106, -106, -106, -106, -106, 
##     -105, -105, -105, -106, -106, -105, -105, -105, -104, -105, 
##     -105, -105, -106, -106, -105, -105, -105, -105, -104, -104, 
##     -104, -104, -104, -104, -104, -104, -103, -101, -99.7, -90.3, 
##     -84.4, -79.5, -77.7, -77.3, -77.1, -77.6, -77.9, -78.5, -77.3, 
##     -75.4, -75.6, -75.7, -74.8, -79.3, -79.5, -79.9, -80.8, -81.3, 
##     -81.8, -82, -82.3, -83.6, -85.7, -88.7, -91.8, -95.6, -101, 
##     -107, -119, -126, -134, -137, -151, -160, -163, -175, -177, 
##     -179, 179, 172, 166, 166, 169, 173, 176, 177, -178, -171, 
##     -169, -160, -156, -136, -132, -113, -90.6, -66.9, -62.8, 
##     -77.8, -88.4, -97.4, -100, -103, -108, -111, -140, -142, 
##     -150, -157, -159, -169, -174, 177, 177, 179, -179, -177, 
##     -176, -174, -173, -169, -162, -159, -155, -152, -145, -118, 
##     -134, -148, -149, -151, -154, -155, -161, -168, -179, -178, 
##     -178, -175, -150, -147, -137, -134, -125, -98.5, -93.2, -89.2, 
##     -81.5, -141, -144, -146, -154, -164, -168, -177, -180, 179, 
##     178, -162, -160, -154, -151, -149, -143, -127, -111, -102, 
##     -99.9, -88.6, -86.1, -84.4, -75.9, -73.3, -72.7, -74.2, -75.1, 
##     -79.6, -90.5, -101, -116, -124, -126, -131, -133, -144, -148, 
##     -155, -175, -176, 179, 178, 179, -170, -158, -151, -140, 
##     -94.8, -87.2, -77, -71.4, -70.6, -69.8, -68.6, -68.2, -72, 
##     -79.1, -81.8, -84.8, -89.5, -93.1, -103, -109, -113, -115, 
##     -117, -123, -125, -128, -133, -159, -164, -178, -172, -171, 
##     -169, -167, -159, -134, -113, -96.8, -92.4, -89.9, -87.6, 
##     -84.5, -79.4, -78.2, -75.8, -64.8, -64.4, -64.1, -63.5, -62.8, 
##     -62.6, -61.9, -62, -63, -63.7, -64.7, -65.8, -68, -75.7, 
##     -77.3, -80.7, -96.8, -99.1, -107, -116, -119, -126, -129, 
##     -138, -145, -154, -163, -169, -171, -172, -177, -179, 180, 
##     179, 177, 177, 177, 178, 179, -172, -170, -159, -152, -138, 
##     -133, -129, -121, -112, -102, -88.2, -85.2, -68.6, -85.6, 
##     -143, -149, -159, -165, -171, -172, -178, -179, 178, 177, 
##     178, 179, -179, -172, -167, -165, -159, -152, -149, -138, 
##     -131, -124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62.1, -61.5, -61.5, 
##     -61.6, -61.7, -62, -62.5, -64.6, -65.7, -68.5, -71.3, -75.3, 
##     -74.6, -72.7, -71.6, -74.5, -75.4, -76.4, -80, -89.9, -94.9, 
##     -99.4, -101, -104, -106, -108, -118, -122, -123, -129, -131, 
##     -133, -134, -75, -74.4, -74.6, -74.8, -75.7, -75.9, -76.2, 
##     -76.9, -77.8, -77.9, -77.9, -78.4, -104, -104, -105, -105, 
##     -105, -104, -104, -105, -105, -105, -105, -106, -106, -105, 
##     -82.5, -82.4, -83.9, -85.1, -86, -86.1, -86.3, -87, -87.5, 
##     -88.1, -88.8, -82.4, -82.4, -82.3, -82.3, -82.3, -82.3, -82.3, 
##     -82.2, -82.1, -82.1, -82.2, -82.2, -82.2, 157, 157, 157, 
##     157, 157, 157, 157, 158, 158, 158, 158, 158, 158, 158, 158, 
##     158, 158, 158, 163, 163, 163, 164, 164, 165, 166, 166, 166, 
##     169, 169, 169, 170, 170, 171, 171, 169, 169, -7.04, -0.19, 
##     18.2, 21.7, 68.9, 105, 110, 48.3, 36.5, 24.4, 18.1, -23.2, 
##     -34.5, -37.8, -53.7, -53.8, -45.1, -40.6, -23.6, -20.5, 104, 
##     109, 113, 115, 116, 116, 118, 119, 120, 117, 117, 116, 114, 
##     102, 99.6, 75.1, 79, 107, 111, 113, 115, 118, 121, 122, 123, 
##     125, 126, 127, 127, 128, 129, -22.1, -21, -11.6, 3.66, 13.8, 
##     17, 21.1, 29.4, 33.9, 49, 53.7, 62.8, 66.6, 111, 117, 144, 
##     144, 144, 144, 144, 144, 145, 145, 146, 146, 146, 146, 147, 
##     147, 147, 147, 148, 148, 148, 149, 80.5, 81.3, 83.5, 71.2, 
##     0.34, 67.8, 66.8, 66.4, 76.1, 80.8, 80.6, 80.5, 80.6, 80.5, 
##     79.5, 81.5, 68.1, 69, 69.5, 70, 70.7, 70.8, 70.8, 70.9, 70.5, 
##     70.2, 67.7, 67.2, 66, 64.8, 64.5, 65.2, 69.5, 71.8, 77.3, 
##     68.5, 69, 68.8, 68.5, 68.2, 67.6, 66.6, 65.9, 66, 66.1, 67.6, 
##     67.6, 95.5, 90.1, 85.5, 83.3, 82.3, 78, 80.3, 80.9, 83.4, 
##     92.6, 94.1, 118, 134, 138, -117, -135, -159, 175, 145, 126, 
##     120, 108, 104, 87.2, 80.2, -138, -144, 115, 105, 89.7, 83.4, 
##     82.5, 78.6, 77.4, -148, -120, -110, -109, -106, -115, 97.6, 
##     94, 101, 101, 101, 101, 101, 102, 102, 103, 106, 106, 106, 
##     107, 108, 108, 108, -176, -169, -174, -178, 177, 175, 165, 
##     162, 158, 156, 152, 147, 142, 132, 125, 121, 81.6, 83.2, 
##     85.1, 85.7, 93.4, 97.6, 108, 123, 138, 142, 148, 161, 168, 
##     -168, -118, -118, -121, -143, -157, 168, 147, 125, 98.1, 
##     94.1, 88, 85.9, 82.1, 82.2, 81.6, 82.8, 84.5, 87, 90.6, 92.1, 
##     101, 115, 121, 137, 146, 169, -165, -141, -136, -116, -116, 
##     -118, -123, -125, 87.3, 87.7, 88.3, 89.5, 90.7, 90.9, 91.2, 
##     91.7, 92.1, 93.4, 93.6, 93.9, 94, 94.1, 94.2, 94.5, 94.9, 
##     95.3, 97.2, 98.9, 99.8, 101, 104, 105, 111, 113, 120, 131, 
##     146, -156, -144, -139, -133, -115, -105, -89.6, -88, -101, 
##     -104, -156, 165, 132, 105, 95.8, 93.2, 84.5, 78.4, 82.8, 
##     85.2, 87.7, 88.8, 90.1, 91.3, 94, 95.5, 110, -161, -146, 
##     -94.1, -90.9, -101, -105, -123, -130, 180, 126, 108, 105, 
##     102, 89.1, 83.9, 82.3, 91.5, 94.1, 95.8, 106, 132, 154, 170, 
##     -158, -87.7, -83.1, -86.8, -93.2, -116, -123, 152, 140, 136, 
##     133, 125, 109, -170, -153, -92.7, -85.8, -80.7, -80.7, -100, 
##     -122, -132, -177, 133, 105, 95.6, 90.1, 88.1, 83.3, 85.6, 
##     87.7, 92.6, 109, 114, 120, 122, 135, 142, 162, -178, -145, 
##     -93.1, -85.3, -80.9, -96.9, -107, -114, -163, 138, 116, 104, 
##     97.7, 88.6, 79.7, 87, 90.7, 93, 94.4, 96.1, 98, 117, 121, 
##     138, 148, -146, -90.2, -174, 110, 155, 171, -159, -137, -128, 
##     -120, -111, -89.8, -87.3, -103, -113, -126, -133, -140, 142, 
##     133, 128, 125, 121, 100, 93, 85.2, 83.1, 80.5, 80.3, 80.3, 
##     80.1, 80.2, 80.9, 96.1, 102, 116, 155, 160, 176, -176, -163, 
##     -151, -128, -111, -83.8, -83.9, -85.7, -95.3, -110, -122, 
##     -151, 178, 166, 157, 144, 123, 120, 121, 92.3, 104, 106, 
##     109, 109, 105, 110, 110, 111, 111, 110, 106, 104, 102, 101, 
##     97.5, 95.6, 91.5, 89, 86.1, 83.1, 76.6, 69.4, 65, 20.9, 6.52, 
##     -15.3, -22.7, -35, -41.3, -63.4, -82.7, -91.5, -95.7, -105, 
##     -110, -122, -127, -123, -115, -111, -96.8, -88.6, -83.9, 
##     -62.2, -53, -30, -19.7, -14.4, -9.36, -4.55, 0.6, 16.4, 32.5, 
##     48.2, 72.5, 81.6, 85.8, 95.5, 97.9, 100, 102, 109, 110, 110, 
##     110, 108, 94.8, 91.2, 79.4, 70.4, 65.7, 37.2, 0.47, -13.7, 
##     -27.3, -39.4, -61.4, -65.8, -70.7, -91.7, -95.7, -99.6, -112, 
##     -116, -120, 86, 96.4, 105, 107, 109, 111, 111, 112, 112, 
##     111, 107, 83.9, 70.4, 55.1, 49.2, 37, 23.2, 16.2, 8.88, -11, 
##     -40.4, -59.8, -76.3, -80.4, -91.6, -95.7, -103, -106, -133, 
##     -131, -119, -97.6, -88.3, -73.5, -54.1, -49.3, -30.6, -7.18, 
##     26.8, 36.8, 42.2, 52.6, 62.8, 67.1, 94, 98, 107, 109, 110, 
##     -63.7, -72.5, -101, -110, -118, -121, -136, -134, -131, -125, 
##     -121, -117, -113, -77.8, -73.2, -37.4, -2.71, 13, 18.9, 44.4, 
##     80.6, 84.6, 88.3, 91.6, 94.2, 98.2, 101, 104, 107, 110, 109, 
##     108, 107, 101, 98.7, 85.9, 28, 20.4, 5.96, -0.8, -13.8, -26.7, 
##     -37.5, -62.1, -80.8, -89.3, -121, -128, -138, -116, -106, 
##     -101, -95.5, -52.3, -37.3, -22.8, -3.06, 12, 23.1, 28.5, 
##     50.3, 66.5, 71.4, 76.4, 102, 104, 109, 112, 112, 112, 112, 
##     111, 99.1, 92, 33.4, -12.9, -87.9, -110, -114, -134, -130, 
##     -126, -117, -103, -97.8, -92.9, -66.9, -4.22, 0.31, 5.01, 
##     24.3, 34.9, 55.9, 67, 83.3, 93.6, 109, 104, -111, -101, -96.3, 
##     -87.1, -82.1, -76.9, -66.4, -61.5, -44.1, -33.2, -27.6, -15.4, 
##     8.73, 35.2, 61, 83.3, 91, 93.9, 104, 106, 111, 111, 105, 
##     61.6, 8.66, -18.9, -36.7, -53.9, -86.9, -99.2, -111, -118, 
##     -136, -137, -135, -114, -93.2, -82.3, -53.8, -48.1, -20.1, 
##     -14.2, -3.26, 7.37, 19, 125, 127, 124, 124, 123, 123, 123, 
##     123, 122, 121, 120, 116, 117, 118, 119, 122, 123, 124, 127, 
##     130, 130, 131, 131, 132, 132, 133, 133, 130, 117, 86.2, -24.7, 
##     -35.3, 7.13, 127, 125, 122, 121, 122, 121, 119, 118, 117, 
##     114, 112, 111, 109, 109, 116, 117, 118, 120, 120, 130, 131, 
##     131, 161, -166, -47.3, -39.5, -43.3, -47.6, -49.2, -50.3, 
##     -50.9, -51.8, -51.9, 127, 125, 126, 127, 125, 123, 120, 117, 
##     108, 108, 109, 109, 109, 109, 110, 110, 110, 110, 110, 110, 
##     111, 111, 111, 111, 112, 112, 112, 113, 113, 114, 114, 115, 
##     115, 115, 115, 120, -41.2, -42.8, -47.3, -62.6, -94.3, -121, 
##     -154, 165, 156, 144, 130, 116, 114, 113, 110, 106, 106, 106, 
##     107, 111, 112, 114, 148, -175, -161, -117, -76, -55, -50.2, 
##     -46.9, -50.8, -54.6, -56.7, -64.1, -83.8, -150, 163, 156, 
##     141, 136, 132, 125, 123, 112, 110, 98.1, 95.4, 94.9, 98, 
##     101, 104, 111, 127, 136, 167, -173, -159, -152, -133, 106, 
##     101, 100, 99.5, 103, 110, 115, 118, 124, 143, 148, 153, 177, 
##     -151, -138, -100, -90.6, -85.8, -81.7, -57.6, -57.2, -61.3, 
##     -74.2, -82.4, -85.8, 116, 145, 156, 175, -178, -165, -151, 
##     -103, -97.6, -81, -85.1, -89.1, -118, -152, 179, 165, 143, 
##     109, 107, 98.6, 94.4, 93, 91, 98.6, 103, 168, -180, -156, 
##     -125, -111, -94.2, -73.5, 92.3, 93.6, 95.9, 104, 109, 116, 
##     139, 144, 163, 169, -178, -164, -131, -118, -100, 125, 109, 
##     106, 104, 97.4, 94.8, 94.9, 95.9, 110, 118, 121, 138, 143, 
##     -179, -164, -151, -145, -96.9, -91.9, -81.1, -62.9, -63.3, 
##     -67.4, -72, -74.7, -81.5, -153, -174, 171, 165, 132, 125, 
##     114, 104, 102, 90.4, 86.6, 86.9, 88, 94.7, 99.4, 103, 115, 
##     129, 164, -176, 89.3, 68.8, 70.2, 73, 75.7, 78, 81.3, 81.8, 
##     82.4, 83.2, 83.1, 83.1, 82.9, 83.2, 83.6, 83.8, 84, 84.9, 
##     85, 85.2, 85.6, 90.4, 90.4, 90.9, 92.1, 99.8, 134, 151, 165, 
##     171, -143, -132, -89.9, -91.5, -93.8, -113, -174, 153, 133, 
##     128, 113, 79.3, 76, 76.2, 98.5, 142, 148, -170, -145, -130, 
##     -106, -98, -100, -103, -107, -161, 112, 141, 177, -152, -100, 
##     -98, -97.5, -100, -103, -107, -111, -128, -143, 166, 156, 
##     147, 97.8, 78.6, 69.7, 67.7, 67.6, 68.6, 83.1, 102, 107, 
##     113, 124, -176, -162, -115, -106, -99, -94.1, -95.6, -97.8, 
##     -140, -147, -174, 166, 98.1, 85.3, 78, 69.5, 69.9, 98.2, 
##     121, 134, 141, 148, 156, -170, -127, -104, -108, -112, -117, 
##     -151, 152, 145, 137, 129, 73.8, 67, 76.9, 83.2, 86.8, 113, 
##     134, 65.4, 64.4, 68.8, 71.3, 76.4, 83.6, 93, 117, 132, 163, 
##     171, -168, -127, -97.3, -135, -168, 109, 95, 85.1, 75.7, 
##     69.5, 67.5, 68.1, 70.5, 76.8, 79.3, 85.6, 178, -167, -148, 
##     -143, -137, -101, -98.2, -100, -125, -130, -157, -166, 169, 
##     140, 132, 108, 102, 97.6, 83.4, 79, 66.3, 66.3, 67.7, 76.7, 
##     82.9, 92, 137, -177, -134, -129, -105, -103, -101, -141, 
##     -147, 167, 157, 125, 91.1, 86.2, 82.1, 75.4, 67.7, 67.6, 
##     -172, 164, 157, 148, 129, 117, 83.9, 71.3, 70.2, 72.6, 76, 
##     77.7, 85.1, 85.5, 91.6, 91.9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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##     -59.1, -59.6, -65, -66.1, -68.4, -74.3, 175, 173, 171, 169, 
##     168, -178, -175, -157, -151, -112, -108, -105, -97.1, -94.3, 
##     -90, -84.9, -78.2, -76.1, -75.3, -73.3, -72.9, -72.6, -71.4, 
##     -70.6, -69.1, -69.4, -69.7, -70.9, -74.2, -76.8, -80.7, -81.6, 
##     -84, -95.1, -106, -109, -120, -126, -144, -153, -157, -161, 
##     -162, -164, -166, -167, -169, -171, -172, -176, -176, 173, 
##     170, 170, 170, -180, -166, -162, -157, -146, -139, -127, 
##     -107, -103, -95.1, -90.4, -82.9, -79.4, -64.2, -62, -59.8, 
##     -58.1, -62.3, -66.2, -66.7, -67.1, -67.8, -69.3, -69.6, -70.3, 
##     -70.5, -70.8, -71.3, -71.3, -73.1, -83.5, -91.2, -97, -100, 
##     -111, -124, -134, -147, -155, -160, -167, -173, -176, -179, 
##     142, 156, 160, 174, -169, -155, -136, -130, -123, -105, -100, 
##     -95.2, -90.9, -80, -65.5, -61.4, -58.4, -56.3, -53.8, -53.8, 
##     173, 171, 166, 163, 161, 134, 119, 118, 116, 123, 167, 177, 
##     -178, -141, -135, -128, -118, -108, -97.2, -78.4, -67.3, 
##     -64.5, -63.5, -63.6, -64.7, -65.2, -70.9, -74.1, -80, -97.2, 
##     -101, -113, -130, -145, -158, 173, 169, 168, 162, 159, 138, 
##     136, 129, 129, 131, 132, 134, 135, 137, 145, 158, 173, -176, 
##     -159, -155, -134, -95.3, -92.9, -89.8, -79, -68.4, -67, -66.6, 
##     -66.1, -67.9, -69.3, -75.3, -76.8, -78.4, -86.6, -95, -102, 
##     -137, -147, -160, -171, -174, -180, 176, 171, 167, 157, 154, 
##     151, 139, 137, 131, 130, 129, 128, 129, 129, 133, 142, 158, 
##     172, -163, -154, -130, -114, -109, -95.4, -80.5, -75.9, -72.2, 
##     -70.7, -69.7, -160, -164, -168, -174, 175, 173, 168, 167, 
##     165, 163, 153, 133, 129, 126, 126, 127, 128, 134, 141, 144, 
##     149, 164, 168, 172, -167, -144, -131, -123, -105, -101, -97.7, 
##     -84.5, -77.2, -75.4, -71.6, -70.1, -69.2, -68.5, -67.9, -66.5, 
##     -66.3, -66.1, -66.4, -66.8, -68.1, -69.5, -71.4, -86, -97.6, 
##     155, 151, 147, 136, 133, 151, 154, 162, 174, 179, -177, -162, 
##     -157, -146, -137, -132, -112, -90.8, -74.2, -73.2, -72.2, 
##     -68.1, -68.3, -68.7, -71.1, -72.1, -73.1, -78.9, -80.9, -83.1, 
##     -85.4, -96.2, -106, -112, -120, -141, -149, -156, -159, -172, 
##     174, 173, 159, 157, 148, 136, 140, 154, 159, 173, -179, -157, 
##     -153, -139, -117, -110, -80.1, -67.8, -66.6, -67.2, -67.6, 
##     -68.2, -68.7, -70.3, -75, -76.8, -81.6, -86.5, -94.6, -112, 
##     -115, -123, -127, -135, -168, 176, 174, 166, 164, 148, 141, 
##     131, 127, 126, 126, 126, 127, 129, 132, 134, 136, 148, 150, 
##     160, 167, 171, 176, -175, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, -138, -149, -166, -172, -177, 177, 176, 171, 
##     164, 160, 159, 156, -65.8, -65.8, -67, -69, -69.9, -71.1, 
##     -72.4, -78.3, -96.5, -99.1, -102, -105, -108, -115, -131, 
##     -137, -72.9, -79, -103, -111, -143, -147, -151, -154, -161, 
##     -168, -178, 173, 167, 164, 159, 153, 138, 126, 124, 122, 
##     122, 122, 122, 123, 123, 134, -76, -81.3, -97.5, -100, -125, 
##     -146, -151, -152, -155, -158, -173, -178, 86.8, 86.2, 87.3, 
##     88, 88.3, 89.4, 89.6, 90, 90.5, 90.6, 90.9, 73, 78.2, 84.5, 
##     96.9, 108, 122, 161, -176, -163, -124, -119, -114, -107, 
##     -113, -146, -164, -158, -133, -127, -112, -105, -125, -131, 
##     -172, 180, 143, 121, 110, 93.5, 89, 148, 112, 108, 90.6, 
##     86.8, 80, 71, 69.9, 70.3, 70.9, 72, 81.1, 83.6, 91.7, 101, 
##     86, 86.3, 87, 87.3, 87.5, 87.6, 87.6, 87.7, 87.9, 87.9, 88, 
##     88.4, 89, 89.3, 89.5, 89.8, 89.9, 90.1, 90.2, 90.2, 90.4, 
##     64.6, 74.8, 80.1, 89.3, 105, 112, 115, 115, 114, 113, 106, 
##     99.9, 92, 82.6, 56.7, 44.7, 97.1, 93.9, 81.5, 77.1, 72.7, 
##     -0.97, -45.4, -50.7, -73.4, -78.8, -83.7, -111, -119, -134, 
##     -133, -131, -128, -124, 111, 101, 98.5, 91.4, 83.9, 61.4, 
##     15.6, 8.51, 1.31, -17.5, -49.4, -133, -134, -131, -114, -110, 
##     -97.7, -88.7, -66.4, -58.2, -37.8, -25.9, -17.5, -13, -9.18, 
##     -0.05, 24.2, 34, 112, 112, 112, 112, 113, 113, 113, 113, 
##     112, 112, 111, 111, 109, 110, 110, 111, 111, 111, 111, 111, 
##     111, 111, 111, 111, 111, 112, 112, 110, 102, 95.3, 88.2, 
##     86.8, 83.1, 81.5, 81.4, 81.8, 85, 91.2, 97.9, 101, 98.8, 
##     97.5, 87.1, 87, 87, 87.6, 95.7, 97.4, 101, 123, 154, 121, 
##     109, 106, 95.1, 85.2, 83, 82.7, -89.8, -94.1, -169, -154, 
##     -95, -86.5, -68.4, -65.4, -66.2, -68.6, -72.2, -74.5, -79.7, 
##     -95.1, -81.3, -62.8, -60.4, -59, -58.3, -59.3, -60.8, -66.3, 
##     -74.1, -83.6, -91.4, -107, -134, -161, 160, 144, 140, -73.4, 
##     -79.3, -88.5, -96.7, -107, -131, -138, -154, 151, 127, 124, 
##     114, 109, -170, -178, 176, 159, 155, 135, 117, 106, 104, 
##     97.5, 95.6, 99.7, -73.9, -70.9, -59.8, -61.6, -62.6, -66.8, 
##     -87.4, -97.7, -118, -125, 175, 139, 131, -66.7, -70.1, -73.3, 
##     -86.8, -92.1, -99.2, -151, 178, 135, 125, 119, 116, 101, 
##     105, 104, 110, 122, 125, 138, 155, -163, -142, -134, -103, 
##     -80.4, -67.9, -56.9, -53, -50.2, -46.5, -53, 122, 123, 129, 
##     130, 132, 142, 148, 165, -90.9, -47.3, -44.6, -42.1, -40.8, 
##     -39.3, -37.9, -36.4, -34.4, -34.3, -34.8, 110, 109, 107, 
##     106, 104, 104, 105, 107, 108, 108, 108, 108, 108, 93.8, 84.2, 
##     82.7, 81.6, 80.8, 80.2, 79.6, 80.7, 84.4, 85.4, 90, 91.8, 
##     99.8, 112, 146, -175, -170, -138, -131, -105, -99.9, -142, 
##     -158, 176, 123, 108, 104, 96.2, 90.2, 85.3, 79.7, 76.7, 75.7, 
##     80.4, 90.4, 93.3, 96, 99.6, 117, 121, 169, -175, -169, -104, 
##     -105, -117, -122, -126, -131, -136, -157, 175, 163, 157, 
##     152, 146, 132, 123, 107, 89.9, 85.1, 84, 82.9, 81, 80.3, 
##     80.5, 82.1, 85.2, 90.3, 95.6, 97.2, 103, 109, 118, 120, 133, 
##     135, 147, 150, 152, 154, 159, 162, 164, 167, 167, 166, 165, 
##     164, 162, 161, 156, 155, 152, 146, 124, 120, 116, 119, 125, 
##     134, 137, 148, 151, 164, 166, 168, 170, 169, 169, 165, 164, 
##     148, 136, 130, 128, 126, 115, 113, 106, 97.7, 96.4, 91, 89.7, 
##     87.1, 87.1, 87.2, 87.6, 87.7, 88.6, 95.1, 96.5, 97.7, 99.3, 
##     122, 138, 160, 173, 174, 175, 170, 168, 162, 160, 147, 140, 
##     130, 127, 119, 104, 102, 99.4, 93.3, 94.1, 94.7, 96.6, 101, 
##     103, 106, 114, 119, 121, 124, 133, 141, 159, 162, 180, 178, 
##     177, 171, 165, 160, 156, 142, 124, 122, 105, 99.6, 94.8, 
##     93.6, 92.4, 89.1, 89.8, 90.1, 91.3, 96.4, 99.7, 104, 110, 
##     120, 130, 133, 146, -180, -171, -167, -172, -174, 177, 127, 
##     121, 111, 109, 107, 100, 95, 92.7, 89.6, 90.5, 90.9, 92.4, 
##     98.5, 107, 109, 111, 121, 144, 149, 160, 172, 172, 171, 169, 
##     166, 162, 131, 126, 121, 110, 104, 97.1, 90.2, 88.6, 88.1, 
##     87.9, 88.1, -31.8, -49.1, -74.4, -128, -56.5, -45.2, -39.6, 
##     -13.8, -9.09, 7.75, 20.8, 26, 31.2, 41, 46.7, 79.5, 96.2, 
##     98.9, 104, 106, 110, 114, 113, 110, 98.8, 86.9, 6.21, -0.66, 
##     -23.2, -30.7, -37, -71.4, -81, -102, -106, -132, -100, -86.1, 
##     -81, -71.3, -59.9, -37.7, -32.5, -27.4, 28.2, 44.9, 88.6, 
##     97.4, 103, 109, 109, 110, 110, 111, 112, 112, 113, 113, 113, 
##     113, 112, 109, 103, 100, 97.2, 94.7, 74.8, 28.4, 23.4, 13.4, 
##     1.42, -4.89, -5.48, 0.91, 2.86, 12.5, 15.4, 19, 25.2, 52.4, 
##     57, 77.8, 81.6, 109, 110, 113, 113, 114, 115, 115, 115, 114, 
##     114, 109, 107, 82.8, 78.4, 55.8, 45, 108, 115, 115, 113, 
##     106, 78, 74.1, 76.7, 84.6, 92, 95.6, 102, 103, 107, 108, 
##     110, 110, 110, 110, 110, 56.9, 29.6, 23.7, -3.92, -26.8, 
##     -20.9, -16.4, -13.8, 16.4, 29.9, 76.8, 105, 113, 115, 114, 
##     113, 108, 105, 97.1, 67.5, 46.7, -3.33, -11.4, -26.7, -23, 
##     -18.4, -15.6, -9.13, 5.87, 10.6, 15.2, 24.6, 45.5, 54.1, 
##     67.8, 87.2, 111, 114, 115, 117, 117, 118, 117, 114, 108, 
##     94, 86.6, 65.7, 50.5, 27.3, 14.9, 8.58, 2.9, -21.1, -25.3, 
##     -25.6, -25.4, -19, -16.4, -10.6, -7.15, -3.84, -0.24, 8.05, 
##     11.9, 21.4, 25.9, 41.3, 45.9, 99.9, 119, 115, 95, 37, 25.5, 
##     13.8, 3.14, -11.7, -15.5, -19.1, -26.4, -25.2, -14.8, -11.6, 
##     -8.69, -2.41, 115, 112, 110, 108, 100, 93.4, 89.9, 73.7, 
##     34.5, 23.8, -9.17, -12.5, -22.7, -21, -19.4, -17.8, -11.9, 
##     -0.7, 40.1, 44.9, 50.4, 81.4, 86, 90.1, 108, 118, 118, 117, 
##     117, 115, 107, 95.4, 83.9, 76.3, 72.5, 60.7, 56.7, -98.5, 
##     -108, -114, -119, -125, -140, -173, 180, 167, 131, 127, 124, 
##     121, 118, 105, 97.8, 97.3, 96.9, 97, 97.1, 97.2, 98, 98.8, 
##     98.6, 97.2, 97.1, 96.9, 96.9, 96.8, 96.6, 96.5, 96.2, 95.6, 
##     95.7, 95.7, 95.9, 97.8, 100, 101, 101, 101, 101, 101, 101, 
##     101, 101, 100, 100, 100, 100, 99.9, 99.9, 99.3, 99, 100, 
##     100, 100, 100, 99.7, 99.5, 100, 101, 101, 101, 102, 103, 
##     104, 105, 106, 106, 106, 105, 107, 106, 106, 107, 107, 111, 
##     114, 117, 137, 140, 146, 157, 162, 165, 167, 170, 173, -180, 
##     -178, -173, -171, -179, 176, 170, 167, 144, 135, 123, 118, 
##     108, 106, 101, 99.6, 97.8, 94.7, 93.5, 91.8, 91.9, 92.4, 
##     93.3, 94.6, 118, 120, 123, 147, 162, 171, 173, -175, -174, 
##     175, 158, 137, 133, 125, 115, 91.3, 89.9, 89.7, 90.7, 101, 
##     113, 127, 140, 161, 172, -174, -171, -166, -167, -170, -176, 
##     166, 157, 140, 120, 117, 114, 106, 104, 102, 92.5, 91.8, 
##     92.1, 93.4, 95.8, 97.4, 99.2, 111, 118, 121, 129, 143, -172, 
##     -169, -169, 178, 148, 144, 140, 123, 120, 111, 109, 103, 
##     90.7, 90.4, 90.6, 91.2, 93.2, 96.1, 113, 124, 140, 145, 156, 
##     -169, -153, -156, -161, -169, -173, 173, 158, 136, 129, 122, 
##     119, 116, 113, 110, 107, 92.3, 92.1, 96.1, 117, 120, 90.8, 
##     91.2, 93.3, 94.6, 101, 109, 112, 127, 135, 156, 170, -157, 
##     -137, -141, -144, -156, -175, 151, 135, 118, 98, 94.7, 93.3, 
##     89.8, 89.2, 90.8, 93.8, 105, 140, 144, 154, 165, -168, -159, 
##     -140, -139, -141, -143, 146, 141, 130, 126, 115, 112, 104, 
##     98, 89.8, 90.8, 91.8, 96, 108, 111, 125, 175, -145, 92.4, 
##     92.9, 93.1, 93.4, 93.5, 93.6, 94.3, 98.3, 110, 116, 132, 
##     138, 153, 156, 159, 169, 171, 174, 174, 173, 169, 168, 162, 
##     155, 152, 125, 113, 104, 98.9, 89, 84.4, 81.7, 78.1, 72.9, 
##     71, 70, 71, 73.3, 79.4, 83.4, 85.9, 89, 111, 120, 124, 132, 
##     144, 161, 165, 166, 159, 155, 151, 149, 109, 94.8, 70, 66.2, 
##     66.5, 70.7, 71.7, 78.9, 82.3, 89.3, 107, 118, 138, 142, 152, 
##     155, 158, 164, 163, 162, 161, 159, 157, 155, 147, 141, 129, 
##     121, 157, 162, 161, 160, 156, 155, 149, 143, 121, 116, 70.6, 
##     68.6, 69.8, 70.4, 75.1, 79.6, 82.7, 110, 115, 124, 140, 144, 
##     162, 164, 164, 163, 155, 111, 105, 84.3, 72, 70.8, 72.3, 
##     74.6, 76.1, 77.6, 79.4, 81.4, 112, 117, 126, 130, 139, 152, 
##     165, 167, 169, 168, 148, 124, 120, 108, 95.2, 92.8, 90.1, 
##     78.7, 72.5, 70.9, 71.5, 74.5, 75.8, 79.4, 86.6, 101, 124, 
##     150, 153, 159, 160, 161, 161, 160, 156, 147, 137, 120, 112, 
##     108, 93, 80.4, 70.6, 71.2, 76.5, 77.9, 81.2, 92.7, 95.9, 
##     117, 133, 149, 166, 170, 141, 130, 126, 98.3, 96.3, 93.4, 
##     72.3, 69.7, 70.3, 71.4, 74.4, 76.1, 87.3, 108, 152, 156, 
##     167, 165, 162, 149, 133, 124, 110, 106, 103, 100, 79.5, 77.3, 
##     71.8, 76.7, 78.3, 82.5, 92.5, 96, 100, 104, 112, 124, 128, 
##     143, 153, 160, 160, 159, 157, 152, 133, 127, 112, 106, 93.9, 
##     88.7, 86.8, 80, 70.5, 70.7, 71.7, 76.1, 79.1, 80.7, 83.6, 
##     84, 84.3, 84.5, 84.6, 84.5, 84.5, 84.1, 84, 84.2, 84.9, 85.6, 
##     86.3, 86.8, 87.3, 87.3, 87.3, 87.5, 87.4, 87.5, 88.5, 89.7, 
##     89.7, 89.8, 89.8, 90.1, 90.9, 91, 92.2, 96, 113, 120, 120, 
##     120, 128, 133, 139, 144, 160, 173, -173, -167, -161, -135, 
##     -112, -113, -122, -132, -179, 170, 138, 108, 73.6, 68, 99.6, 
##     132, 139, 170, -176, -157, -150, -115, -117, -168, -175, 
##     105, 94.4, 84.4, 80.4, 77.1, 68, 68.9, 75.6, 77.3, 86, 87, 
##     87.4, 87.4, 87, 86.5, 86.3, 86.5, 88.2, 89, 89.4, 89.7, 89.8, 
##     90.5, 90.7, 90.8, 90.8, 90.8, 90.8, 91, 91.4, 91.7, 94.5, 
##     95.5, 96.2, 99, 101, 110, 112, 116, 128, 147, 148, 146, 143, 
##     126, 125, 126, 127, 128, 129, 128, 128, 128, 128, 128, 128, 
##     128, 127, 127, 127, 127, 127, 127, 127, 127, 127, 0, 0, 0, 
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##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -154, -130, -95.6, -92.4, 
##     -85.1, -80.2, -73.1, -71.5, -176, -178, 180, 155, 148, 137, 
##     132, 131, 130, 130, 131, 132, 133, 138, 147, 172, -141, -138, 
##     -134, -111, -104, -92.1, -72.2, -68.2, -63.2, -61.5, -57.9, 
##     -56.6, -56.8, -56.9, -57, -57.5, -58.1, -58.8, -60.6, -61.8, 
##     -66.3, -71.8, -79.4, -82.3, -85.3, -108, -112, -166, 179, 
##     173, 165, 163, 159, 156, 136, 126, 119, 116, 116, 117, 122, 
##     124, 126, 127, 129, 131, 136, 138, 144, 149, 151, -163, -158, 
##     -139, -131, -126, -114, -110, -106, -99.2, -90.3, -75.5, 
##     -72.1, -70.8, -70.4, -68.9, -69, -71.6, -74.8, -76.6, -81.7, 
##     -82.6, -85.4, -86.5, -89.6, -93.2, -97, -99.2, -110, -144, 
##     -151, -154, -156, -160, -162, -163, -160, -159, -56.7, -57.1, 
##     -59.7, -60.5, -61.5, -62.5, -65, -68.1, -69.8, -75.8, -82.3, 
##     -84.6, -86.9, -98, -126, -112, -94.9, -92.7, -88.5, -86.5, 
##     -83, -77.1, -69.6, -59.4, -54.4, -53.2, -50, -48.9, -47.8, 
##     -45.2, -44.7, -44.4, -43.9, -43.4, -44.3, -48.1, -50.7, -58.5, 
##     -63.3, -68.7, -84.7, -93.1, -104, -107, -126, -132, -134, 
##     -139, -141, -145, -138, -117, -114, -95.4, -86.7, -78.3, 
##     -70.9, -65.7, -61.7, -48.6, -43.8, -40.8, -40.5, -39.7, -39.3, 
##     -39.1, -38.7, -38.2, -38.6, -39.1, -45.2, -46.6, -51.8, -58.7, 
##     -63.8, -69.1, -72.1, -74.8, -87.6, -94.1, -97.6, -121, -136, 
##     -138, -149, -151, -151, -150, -149, -146, -136, -132, -110, 
##     -100, -78.4, -72.7, -61.6, -51.8, -44.9, -37.9, -37.4, -37.3, 
##     -135, -136, -140, -141, -153, -152, -146, -144, -90, -80.2, 
##     -71, -78.5, -83.1, -120, -123, -132, -136, -141, -142, -143, 
##     -143, -144, -144, -144, -141, -135, -133, -126, -98.3, -91.7, 
##     -89.1, -83.3, -79.8, -68.6, -55.1, -47.2, -38.4, -35.4, -33.6, 
##     -31.7, -31.3, -30.2, -30.1, -29.8, -31.2, -34.1, -64.3, -50.6, 
##     -44.3, -43.1, -40.4, -39.7, -35.5, -35.1, -35.9, -36.5, -37.9, 
##     -44.4, -37.4, -37.9, -39.3, -47.6, -55.3, -62, -70.2, -76.3, 
##     -80, -83.4, -94.5, -102, -116, -119, -121, -124, -128, -134, 
##     -146, -147, -149, -152, -152, -151, -142, -135, -115, -152, 
##     -149, -144, -134, -123, -120, -117, -105, -103, -91.7, -80.6, 
##     -64.3, -61.2, -60.5, -71.7, -72.8, -75.1, -77.8, -89.4, -91.5, 
##     -94.2, -105, -115, -131, -149, -170, 140, 139, 138, 137, 
##     136, 135, 135, 135, 132, 131, 131, 130, 128, 92.2, 92.3, 
##     92.4, 92.5, 92.6, 92.6, 92.6, 92.6, 92.5, 92.6, 92.9, 92.9, 
##     93.5, 97.2, 92.1, 85.8, 80.2, 71, 66.4, 65, 64.4, 64.4, 64.4, 
##     71.6, 97.5, 107, 123, 146, 150, 35.1, 49.4, 54.9, 64, 68.7, 
##     72.8, 77.3, 84.8, 88.5, 102, 105, 114, 115, 116, 24.8, -3.88, 
##     -19.7, -9.86, -7.05, -1.96, 0.95, 18, 41.7, 46.6, 55.5, 59.9, 
##     39.4, 16.5, 6.14, 1.29, -3.4, -16, -16.8, -15.5, -13.7, -5.77, 
##     12.7, 20.7, 24.2, 41.4, 45.4, 49.7, 54.4, 78.9, 86.7, 95.9, 
##     -176, 180, 172, 151, 126, 118, 109, 103, 98.9, 91.7, 91.9, 
##     92, 92.1, 95.7, 93.8, 92.2, 89, 88.2, 87.4, 87.6, 88.1, 90.2, 
##     94.4, 104, 120, 126, 148, 151, 161, 174, 109, 105, 102, 99.4, 
##     95.4, 92.9, 91.5, 85.7, 85.8, 88.5, 92.8, 105, 114, 110, 
##     103, 99.7, 96.9, 94.7, 93.1, 92.5, 92.7, 94.2, 95.6, 101, 
##     103, 111, 148, 151, 158, 162, 164, 169, 169, 153, 147, 136, 
##     133, 123, 135, 144, -149, -142, -140, -140, -141, -147, -152, 
##     -158, -165, -174, 168, 160, 146, 141, 112, 109, 107, 99.3, 
##     98.2, 93.5, 106, 106, 109, 109, 109, 109, 109, 109, 108, 
##     108, 107, -106, -109, -133, -138, -152, -170, 131, 128, 125, 
##     122, 124, 127, 146, 180, -173, -155, -149, -123, -115, -101, 
##     -113, -123, -131, -149, -174, 173, 125, 113, 110, 110, 113, 
##     115, 116, 121, 128, 166, -170, -155, -149, -143, 119, 122, 
##     131, 135, 145, 167, -160, -132, -104, -106, -109, -115, -130, 
##     -150, -174, 173, 145, 138, 116, 113, 107, 105, 102, 102, 
##     103, 108, 111, 113, 116, 128, -139, -130, -125, -118, -113, 
##     -103, -97.6, -95.2, -100, -103, -111, -128, -133, -142, 93, 
##     98.9, 105, 107, 111, 114, 129, 132, 138, 141, 147, 164, -178, 
##     -176, -174, -169, 127, 119, 108, 106, 96.5, 95.1, 94.6, 88.1, 
##     87.6, 87.2, 87.4, 87.8, 88, 89.8, 92.4, 96.6, 98.1, 103, 
##     109, 113, 139, 146, 102, 97.2, 95.9, 93.4, 90.5, 88.2, 86.9, 
##     85.3, 85.3, 86.5, 87.3, 87.5, 87.8, 88.1, 93.4, 94.9, 96.5, 
##     98, 100, 103, 114, 124, 163, 162, 161, 158, 157, 158, 162, 
##     168, -178, -135, -126, -120, -166, -174, 165, 159, 153, 136, 
##     135, 135, 135, 136, 136, 137, 138, -132, 151, 147, 143, 140, 
##     134, 124, 120, 120, 119, 119, 120, 122, 126, 135, 138, 146, 
##     178, -167, -161, -137, -121, -122, -127, -162, -168, 178, 
##     139, 136, 126, 126, 125, 127, 128, 129, 132, 136, 138, 141, 
##     147, 151, 173, -144, -126, -121, 128, 136, 146, 164, 175, 
##     -179, -167, -161, -134, -129, -126, -123, -117, -117, -127, 
##     -135, -140, -145, 142, 138, 134, 126, 122, 123, 123, 124, 
##     125, 125, 126, 130, 141, 150, 154, 164, -178, -172, -165, 
##     126, 125, 124, 124, 125, 125, 149, -174, -169, -158, -153, 
##     -135, -127, -105, -105, -107, -127, -140, -151, -158, -166, 
##     158, 149, 146, 136, 134, 133, 132, 132, 132, 132, 135, 146, 
##     149, 153, 157, 161, -115, -108, -103, -110, -113, -116, -124, 
##     -159, 162, 125, 123, 124, 125, 126, 128, 129, 131, 172, 178, 
##     -157, -136, -131, -127, -112, -112, -132, -142, -114, -118, 
##     -121, -129, -144, -152, -154, -157, -159, -161, -161, -160, 
##     -93.3, -109, -113, -130, -137, -144, -147, -149, -158, -164, 
##     -160, -159, -158, -156, -155, -152, -150, -139, -129, -111, 
##     -107, -99.8, -95.7, -92.5, -82.6, -72.2, -66.2, -60.6, -50.6, 
##     -52, -64.3, -76.9, -116, -135, -139, -145, -149, -151, -153, 
##     -154, -158, -161, -161, -160, -159, -156, -153, -143, -139, 
##     -136, -133, -110, -79.4, -73.1, -103, -80.7, -64.7, -53.8, 
##     -49.4, -43.2, -28.6, -30, -30.9, -33.4, -35, -36.9, -43.5, 
##     -47.2, -52, -70.7, -92.1, -124, -127, -134, -135, -142, -143, 
##     -149, -151, -154, -154, -153, -153, -152, -141, -139, -125, 
##     -122, -118, -107, -44.9, -41.4, -37.7, -34.8, -31.8, -20.3, 
##     -19.8, -19.7, -23.3, -28.4, -45.6, -69.7, -130, -133, -135, 
##     -136, -138, -139, -143, -144, -145, -150, -151, -151, -150, 
##     -150, -142, -141, -129, -107, -30.3, -16.3, -2.88, -0.23, 
##     0.36, 0.67, -2.14, -12.6, -33.2, -68.5, -79.8, -97.9, -148, 
##     -144, -143, -137, -132, -76.3, -37.4, -22.5, -0.51, 7.19, 
##     15.6, 16.3, 16.5, 17.8, 17.5, 16, 15.3, -31, -86.6, -152, 
##     -151, -149, -144, -144, -145, -145, -143, -142, -142, -143, 
##     -144, -145, -145, -143, -142, -141, -140, -139, -140, -139, 
##     -129, 27.3, 37.7, 22.9, -5.09, -14.7, -21.3, -16.2, -12.6, 
##     -0.25, 5.05, 29.5, 50.3, 54.9, 79.3, 86.9, 90.8, 98.5, 110, 
##     115, 118, 113, 111, 108, 99.3, 96.1, 82.3, 71.7, 27.6, 10.5, 
##     0.81, -17.4, -20.3, -21.1, -21.5, -20.6, -13.6, 4.12, 14.6, 
##     19.4, 23.9, 56.9, 61.6, 70.9, 78.2, 89.7, 97.2, 105, 110, 
##     113, 116, 117, 117, 117, 117, 117, 117, 116, 104, 99.3, -14.5, 
##     1.61, 23.4, 56.8, 63.3, 91, 118, 120, 126, 123, 121, 112, 
##     97.5, 87.7, 54.7, 42.9, 21.9, 14.7, 7.12, -6.93, -14, -26.4, 
##     -56.4, -77.9, -79.1, -77.8, -62.5, -10.2, -5.53, 8.68, 30.9, 
##     36.2, 41.9, 48, 65.2, 80.4, 91.6, 109, 124, 123, 111, 103, 
##     98.6, 94.6, 89.2, 74.2, 68.2, 43.5, 21.5, 6.04, -9.45, -16.6, 
##     -23.9, -30.6, -75.9, -85.7, -87.9, -77.9, -74.5, -26.3, -14.4, 
##     23.4, 29.7, 62.3, 107, 111, 122, 127, 126, 111, 103, 93.7, 
##     88.4, 46.6, 39, 24.5, 0.08, -6.89, -28.2, -35, -70.7, -78, 
##     -58.9, -39.4, -33.6, -5.93, 31.4, 37.2, 77.6, 82.4, 95.9, 
##     104, 111, 122, 125, 123, 112, 91.2, 86.6, 57.9, 31.9, 16.7, 
##     1.59, -20.3, -69, -76.5, -74.1, -68.7, -54.6, -40.9, -1.33, 
##     4.17, 14.2, 66.1, 83, 99.9, 106, 115, 121, 125, 127, 127, 
##     124, 98.6, 67.8, 55.4, 42.8, 35.8, 6.75, -0.59, -20.9, -38.1, 
##     -43.8, -57.7, -65.3, -69, -71.9, -74.9, -77.6, -71.2, -68, 
##     -65, -40, -34.9, -25.2, -19.8, -3.07, 8.63, 14.1, 64.1, 69.4, 
##     81.7, 112, 125, 128, 127, 126, 116, 113, 97, 92.1, 86.6, 
##     81.3, 69.9, 52, 38.9, 32.6, 4.56, -9.14, -28.9, -51.6, -56.2, 
##     -74.4, -78.5, -85.3, -69.2, -65.8, -61.2, -56.4, -52, -47.5, 
##     -31.7, -20.5, -4.59, 15.1, 32.3, 38, 55.5, 61.2, 101, 115, 
##     125, 127, 119, 113, 91.9, -48.6, -19.9, -15.4, 12.2, 28.1, 
##     32.6, 37.2, 46.3, 66.3, 76, 85.4, -141, -151, -167, 105, 
##     86.9, 84.2, 83.5, 88.8, 92.2, 99.6, 111, 124, 156, -163, 
##     -148, -144, -137, -134, -126, -126, -128, -157, -173, 179, 
##     152, 146, 133, 128, 124, 107, 105, 103, 101, 95.8, 92.6, 
##     89.8, 89.8, 90, 93.9, 94.3, 94.4, 94.6, 94.8, 95.1, 95.2, 
##     95.9, 96.3, 97.6, 99, 99.3, 99.9, 101, 101, 101, 101, 103, 
##     106, 130, 141, 159, 165, 170, 176, -167, -142, -118, -115, 
##     -111, -104, -98.6, -95.4, -95, -95.1, -122, -126, -142, -157, 
##     -171, 149, 142, 142, 143, 147, 152, 156, 163, 172, -168, 
##     -158, -139, -131, -126, -122, -116, -109, -108, -108, -118, 
##     -130, -145, -153, -177, 162, 150, 145, 139, 118, 112, 112, 
##     112, 114, 121, 125, 128, 138, 142, 151, 156, -162, -121, 
##     -118, -111, -121, -158, -162, -166, 169, 117, 115, 112, 108, 
##     106, 106, 105, 106, 110, 112, 114, 129, 176, -179, -168, 
##     -158, -150, -145, -133, -112, -108, -112, -116, -130, -133, 
##     -169, -158, -152, -129, -125, -122, -118, -116, -112, -103, 
##     -103, -103, -110, -132, -163, -173, 175, 141, 133, 128, 126, 
##     126, 130, 135, 138, 166, 172, -145, -112, -103, -100, 127, 
##     127, 135, 178, -158, -147, -149, -152, -156, 170, 136, 125, 
##     124, 120, 121, 122, 124, 137, 137, 148, 170, -178, -173, 
##     -163, -166, -171, 177, 164, 153, 145, 126, 123, 117, 116, 
##     116, 119, 120, 127, 135, 160, 178, -178, -173, -156, -153, 
##     150, 146, 140, 135, 126, 116, 109, 110, 115, 135, 143, 115, 
##     115, 116, 116, 117, 128, 147, 156, 167, -178, -178, -178, 
##     -168, -159, -154, -147, -147, 147, 151, 167, 177, -173, -149, 
##     -141, -161, -180, 165, 159, 148, 143, 133, 123, 121, 121, 
##     120, 124, 133, 145, 154, -156, -137, -133, -136, -146, -160, 
##     179, 156, 132, 124, 119, 113, 128, 172, 176, -179, -162, 
##     -154, -151, -148, -148, -148, -146, -164, 174, 133, 121, 
##     121, 121, 122, 135, 150, 154, 179, -169, -150, -155, -159, 
##     -162, -166, 168, 168, 159, 144, 134, 114, 113, 120, 125, 
##     129, 133, 141, 180, -171, -149, -140, 128, 128, 128, 128, 
##     129, 129, 129, 130, 130, 130, 130, 130, 130, 129, 129, 129, 
##     129, 128, 128, 129, 129, 129, 129, 129, 129, 129, 129, 130, 
##     130, 130, 130, 130, 130, 130, 129, 129, 129, 129, 129, 129, 
##     128, 128, 128, 128, 129, 129, 129, 129, 129, 129, 129, 129, 
##     129, 128, 128, 127, 127, 127, 126, 123, 123, 123, 122, 122, 
##     123, 124, 124, 125, 125, 126, 130, 133, 136, 135, 135, 134, 
##     132, 126, 126, 126, 126, 126, 126, 126, 125, 125, 125, 125, 
##     126, 126, 126, 126, 126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, -42.8, -52.4, -57.4, -69.3, -112, -118, -120, -137, 
##     -141, -144, -142, -136, -130, -124, -113, -35.7, -36.1, -36.8, 
##     -38.3, -43.8, -45.5, -47.4, -50.8, -52.9, -67.8, -70.9, -77.2, 
##     -80.7, -91.2, -94.9, -105, -128, -129, -133, -132, -128, 
##     -124, -101, -97.6, -94, -63.2, -59.6, -53.7, -51, -47.9, 
##     -40, -36.3, -34.3, -27.2, -24.4, -21.8, -21.3, -21.3, -21.4, 
##     -21.5, -21.8, -22.7, -26.8, -27.9, -32.6, -41.9, -56.8, -60.6, 
##     -64.1, -68.3, -84.4, -95.6, -99.2, -108, -114, -125, -130, 
##     -130, -132, -133, -133, -133, -132, -132, -129, -126, -125, 
##     -111, -108, -17.6, -18.6, -19.3, -21.1, -26.1, -27.6, -33.2, 
##     -46.6, -50.2, -54, -58, -66.4, -75, -79.4, -87.1, -91.3, 
##     -104, -110, -119, -120, -130, -130, -40.2, -30.3, -28.2, 
##     -28.5, -28.9, -29.7, -31.6, -42.9, -50.3, -54.9, -59.7, -79.3, 
##     -96, -99.4, -110, -110, -110, -109, -109, -110, -111, -138, 
##     -138, -139, -142, -143, -146, -149, -149, -149, -149, -149, 
##     -148, -148, -148, -150, -153, -154, -155, -156, -157, -160, 
##     -161, -161, -162, -162, -162, -162, -162, -162, -162, -160, 
##     -154, -151, -135, -132, -56.7, -55, -55.2, -56.7, -66.9, 
##     -126, -161, -161, -160, -158, -153, -140, -127, -115, -111, 
##     -98.3, -94.7, -85.2, -78.1, -75.8, -70.4, -68, -68.1, -69.4, 
##     -74.4, -87.3, -130, -131, -132, -134, -134, -133, -129, -128, 
##     -49.6, -101, -77.2, -74.3, -67.2, -62.3, -44.4, -42.3, -30.8, 
##     -28, -24.8, -20.9, -20.2, -19.6, -17.6, -17.3, -17.4, -106, 
##     -102, -98.8, -94.7, -88.2, -74.9, -71.9, -63.5, -58.5, -54, 
##     -48.1, -46.5, -40.6, -38.1, -37.2, -36.9, 125, 124, 124, 
##     124, 127, 127, 127, 127, 127, 126, -142, -154, -174, -179, 
##     165, 157, 153, 142, 138, 133, 126, 122, 122, 123, 127, 128, 
##     -176, 128, 123, 121, 119, 120, 120, 121, 157, 174, 178, -177, 
##     -171, -160, -155, -151, -151, -151, -152, -152, 172, 157, 
##     131, 129, 126, 117, 59.7, 41.1, 35.3, 28.1, -56.2, -60.6, 
##     -84, -82.2, -80, -18.9, -2.43, 15.2, 82.2, 106, 111, 115, 
##     123, 124, 125, 126, 125, 124, 119, 113, 110, 106, 86.7, 70.7, 
##     106, 84.3, 74.9, 64.8, 41.4, 34.2, 27.2, -4.96, -19.5, -27.1, 
##     -33.5, -46.6, -65, -76.6, -75.1, -70.9, -68, -56.9, -20.9, 
##     1.67, 11.7, 20.3, 35.8, 52.1, 79.3, 94.9, 100, 105, 116, 
##     121, 122, 122, 122, 116, 90.3, 80.1, 73.8, 67.1, 41.4, 9.61, 
##     -15.2, -53.7, -67.5, -66, -55, -51.6, -47.5, -43.2, -139, 
##     -134, -112, -108, -108, -114, -119, -142, -160, 170, 149, 
##     143, 132, 128, -111, -117, -121, -136, 163, 141, 134, 124, 
##     120, 118, 118, 117, 117, 118, 156, 160, 163, -180, -147, 
##     -125, -119, 179, -162, -163, -165, -167, 177, 168, 157, 148, 
##     135, 127, 124, 121, 119, 103, -122, -119, -111, -109, -107, 
##     -103, -102, -102, -108, -110, -118, -130, -147, 170, 138, 
##     113, 114, -136, -144, -152, -161, -166, -176, 163, 150, 140, 
##     123, 129, 145, 159, 179, -175, 137, 137, 136, 133, 124, 121, 
##     120, 119, 121, 122, 124, 124, 125, 126, 125, 126, 128, 129, 
##     130, 131, 135, 137, 137, 136, 136, 90.1, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     125, 121, 118, 111, 107, 102, 94.1, 92, 92.3, 92.5, 93, 93.5, 
##     94, 94.3, 94.6, 95.2, 97.1, 98.1, 99.2, 100, 101, 102, 103, 
##     105, 106, 108, 112, 114, 115, 117, 120, 129, 135, 138, 156, 
##     163, -132, -125, -117, -85.7, -78.5, -75.3, -72, -65.7, -55.5, 
##     -52.4, -45.5, -49.6, -50.5, -51.6, -62.6, -68, -80.2, -87.5, 
##     -96.3, -113, 137, 117, 108, 98, 95.7, 93.3, 94.5, 96.3, 101, 
##     112, 115, 146, 160, -159, -151, -117, -112, -106, -95.3, 
##     -68, -48, -49.5, -54.2, -57.5, -59.3, -63.7, -72.7, -79.2, 
##     -115, -123, -154, -175, 176, 135, 131, 116, 113, 108, 108, 
##     108, 111, -74.9, -78.5, 133, 104, 101, 102, 103, 130, -118, 
##     -54.2, -52.4, -63.1, -72.4, -84.2, -99, -111, -117, -141, 
##     -152, 172, 164, 151, 145, 140, 131, 124, 114, 115, 118, 120, 
##     158, -178, -146, -94.2, -83.4, -72.7, -56.5, -54.2, -55.3, 
##     -58.7, -62.7, -67.8, -77.1, -93.7, -105, -111, -117, -123, 
##     -104, -85.4, -80.3, -73.8, -74.4, -77, -81.3, -83.9, -87, 
##     -90.1, -97.6, -143, -151, -169, 167, 136, 120, 106, 98.4, 
##     99.8, 101, 104, 110, 133, -128, -116, -85.6, -75.6, -76.6, 
##     -99, -108, -133, -148, 89.3, 87, 78.6, 83.5, 85.9, 94.4, 
##     98.1, 111, 137, 143, 174, -161, -156, -85.7, -83.3, -81.5, 
##     -88.9, -91.7, -110, -131, -143, -149, -156, -163, -180, 174, 
##     129, 120, 113, 110, 106, 103, 92.7, 104, 127, 136, 142, 153, 
##     159, -174, -149, -134, -121, -91.8, -74.1, -74.6, -75.5, 
##     -83.4, -88.4, -91.1, -101, -110, -119, -123, -129, -140, 
##     -161, -177, 138, 120, 113, 106, 103, 92.3, 90.8, 87.7, 88.4, 
##     91.1, 91.5, 92.2, 92.4, 92.7, 92.6, 92.5, 92.3, 92.3, 92.9, 
##     95.1, 95.5, 96.5, 97.4, 100, 106, 107, 109, 119, 121, 122, 
##     123, 124, 124, 124, 124, 125, 125, 125, 125, 125, 126, 126, 
##     126, 124, 118, 159, 154, 132, 126, 122, 123, 124, 125, 126, 
##     128, 133, 144, -167, -125, -109, -116, -141, -173, 179, 139, 
##     135, 132, 129, 124, 122, 116, 109, 104, 99.3, 88.8, 84, 83.8, 
##     84.2, 84.5, 85.2, 94.7, 95.8, 100, 102, 110, 112, 115, 136, 
##     165, 178, -126, -116, -66.4, -72.4, -79.6, -90.9, -106, -128, 
##     -144, 164, 156, 142, 131, 101, 96.9, 94, 94, 94.3, 102, 106, 
##     109, 176, -150, -131, -105, -97.1, -88.2, -73.9, -84.1, -94.9, 
##     -128, 177, 147, 142, 135, 27.7, 27.3, 31.8, 32, 32.2, 32.6, 
##     36.2, 37.7, 38.2, 38.4, 85.6, -143, -143, -143, -143, -143, 
##     -144, -142, -142, -140, -140, -141, -141, -141, -139, -141, 
##     -144, -148, -152, -153, 162, 113, 96, 85.3, 56.6, 49.1, 46.4, 
##     44.8, 44.8, 48.6, 49.2, 49.7, 54.5, 55.4, 59.1, -134, -132, 
##     -131, -130, -130, -131, -131, -128, -129, -130, -132, -133, 
##     -133, -135, -141, -151, -153, -156, -164, -167, 127, 87.2, 
##     76.9, 69.1, 69.5, 69.9, 68.8, 68.2, 68, 68.2, 68.4, 68.9, 
##     68.8, 69.3, 69.9, 70.3, 70.8, 71.4, 72.5, 73.2, 73.2, 72.6, 
##     65.7, 64.7, 56.9, 55.5, 43.3, 35, 25.3, 18.2, 14.3, 5.26, 
##     -0.1, -5.11, -10.8, -24.6, -31.6, -63.3, -83.9, -114, -123, 
##     -132, -139, -160, -162, -164, -166, -167, -167, -167, -165, 
##     -158, -154, -141, -134, -107, -81.6, -59.6, -56, -50.1, -31.7, 
##     -28.4, -28.1, -28.5, -32.8, -34.4, -41.1, -50.8, -57, -64.4, 
##     -68.8, -85.9, -105, -125, -133, -140, -150, -153, -163, -172, 
##     -177, 178, 175, 176, 177, 179, -179, -167, -150, -112, -98.1, 
##     -40.1, -33.7, -33.4, -33.3, -33.6, -39.3, -55.2, -58.6, -67, 
##     -77.5, -125, -130, -142, -148, -154, -159, -177, 165, 165, 
##     166, 167, 169, 172, -179, -164, -154, -147, -143, -90.6, 
##     -59, -52.6, -49.6, -31.9, -31.7, -35, -38.2, -40, -50.6, 
##     -61.4, -70, -91.8, -97.1, -125, -144, -151, -163, -165, -171, 
##     -178, 175, 174, 169, 170, 171, 171, 177, -180, -176, -175, 
##     -171, -155, -151, -138, -132, -93.2, -58.6, -52.8, -38.6, 
##     -36.5, -36, -35.5, -35.8, -36.2, -48, -55.4, -61.1, -83.6, 
##     -90.4, -97, -104, -133, -145, -149, -153, -161, -168, -170, 
##     -173, 177, 172, 171, 170, 168, 167, 167, 166, 166, 167, 169, 
##     170, 171, 172, 174, 175, -38.5, -40.3, -41.3, -42.3, -47.2, 
##     -49.7, -60.2, -84, -104, -136, -140, -154, -163, -170, -172, 
##     -173, -179, 174, 173, 172, 168, 169, 170, 172, 175, 177, 
##     -179, -164, -147, -120, -114, -101, -93.9, -71.2, -59.6, 
##     -55.5, -51.9, -46.4, -42.5, -36.3, -34.9, -35.5, -38.8, -40.5, 
##     -45.3, -48.1, -68.9, -80.5, -122, -128, -136, -148, -152, 
##     -155, -159, -164, -167, -170, 172, 170, 170, 171, 171, 173, 
##     175, -176, -174, -162, -114, -110, -85.3, -79.4, -60.3, -44.4, 
##     -41.4, -40.1, -36.2, -34.9, -32.3, -32.7, -36.5, -38.9, -52.7, 
##     -56.4, -60.9, -85.5, -135, -151, -153, -155, -172, -175, 
##     -176, 177, 176, 175, 173, 174, 174, 175, -180, -177, -176, 
##     -174, -172, -168, -141, -122, -110, -104, -55.8, -46.2, -35.5, 
##     -28.6, -27.3, -27.2, -27.9, -29.6, -32.2, -49.8, -60.5, -66.9, 
##     -73.3, -120, -124, -152, -162, -165, -166, 179, 171, 173, 
##     175, 177, 178, 179, -178, -157, -153, -106, -99.1, -78.7, 
##     -58.2, -36.3, -34.1, -30.2, -28.5, 98.6, 109, 113, 115, 118, 
##     121, 118, 115, 115, 115, 115, 116, 116, 117, 118, 118, 118, 
##     121, 121, 121, 120, 119, 117, 113, 111, 106, 100, 97.5, 70.9, 
##     21.6, 13.6, -56.3, -59.9, -62.7, -65.5, -51.1, -39.5, -36.8, 
##     -34.2, 3.12, 6.41, 15.1, 14.3, 7.63, -4.53, -52.5, -63.9, 
##     -82.6, -85.8, 9.76, -69.9, -78, -81.9, -88, -61.3, -34.4, 
##     -26.3, -22.4, -15.8, 12.8, 19.6, 22.1, 20.8, 14.2, 10.9, 
##     -20.8, -25.8, -31.1, -47.4, -52.4, -62.1, -66.6, -75, -82.6, 
##     -89.5, -94.1, -94.8, -88.9, -39.3, -35.2, -26.9, 4.36, 12.9, 
##     21.6, 23.6, 25, 25.8, 24.7, 5.86, -7.18, -60.5, -84, -91.5, 
##     -98.4, -89.6, -86.5, -83.1, -75.7, -60.2, -51.7, -47.2, -37.8, 
##     8.19, 27.5, 39.5, 43.9, 54.7, 57.4, 61, 61.4, 60.9, 51.8, 
##     45.5, 2.72, -10.3, -17.3, -61, -88.3, -74.5, -63.3, -48.1, 
##     -30.9, -26.6, -18.2, -14.5, -11.1, -4.16, 13.5, 16.3, 23.5, 
##     42.6, 39.9, 37.9, 28.2, 8.08, -22.2, -35.2, -40.9, -53, -58.3, 
##     -68.8, -77.4, -81.3, -91.3, -97, -93.4, -90.9, -73, -60.3, 
##     -46.7, -42.2, -32.8, -24.3, -8.72, -5.53, 9.89, 15.6, 19.4, 
##     22.3, -22.2, -33.3, 19.1, 17.8, 16.7, 13.1, 10.7, 7.56, -13.3, 
##     -29.7, -41.2, -67.9, -72.7, -85.4, -92.1, -95.1, -103, -100, 
##     -75.1, -70.8, -66.6, -57.4, -52.8, -43.6, -7.28, -4.04, -0.65, 
##     11.8, 14.6, 24.6, 32.1, 32.4, 31.7, 30.9, 23.1, 20.2, 3.05, 
##     -2.32, -7.6, -36, -41.6, -93.2, -96.6, -107, -103, -93.5, 
##     -79.1, -66.3, -43.1, -25.1, -14.5, 5.25, 12.7, 22.2, 31.4, 
##     55.8, 60.5, 68.9, 81, 94.1, 110, 116, 122, 130, 137, 140, 
##     156, 163, 166, 166, 165, 164, 163, 162, 162, 163, 163, 163, 
##     163, 163, 164, 164, 164, 164, 163, 163, 163, 163, 162, 162, 
##     156, 153, 147, 144, 141, 140, 138, 126, 126, 126, 127, 127, 
##     127, 127, 127, 127, 127, 127, 127, 126, 126, 120, 118, 116, 
##     113, 111, 106, 88.7, 88.9, 88.6, 88.1, 91, 103, 112, 127, 
##     138, 145, -161, -135, -102, -139, -157, 138, 102, 96.4, 90.6, 
##     75.2, 67.4, 66.2, 65.9, 80.3, 90.3, 96, 108, 129, 136, 162, 
##     -180, -142, -134, -122, -117, -114, -111, -117, -121, -126, 
##     134, 114, 95.6, 78.6, 73.9, 63.5, 65.9, 70.9, 101, 130, 153, 
##     160, -135, -131, -122, -128, -153, -167, 174, 149, 131, 124, 
##     112, 107, 94.6, 78.7, 69.2, 62.1, 64.2, 65.4, 68.7, 71.9, 
##     71.9, 80.4, 85.8, 109, 135, 142, 156, 169, 176, -143, -133, 
##     -138, -138, -153, 172, 166, 139, 110, 104, 94.8, 63.2, 62.5, 
##     85.9, 96.9, 109, -168, -162, -151, -147, -142, -138, -135, 
##     -137, -169, 177, 140, 136, 111, 105, 79.4, 68.3, 61.4, 61.7, 
##     64.1, 76.1, 116, 122, 122, 128, 141, 147, 164, 169, -168, 
##     -162, -162, -157, -152, -148, -145, -143, -145, -178, 154, 
##     148, 140, 123, 102, 76.6, 59.9, 61.3, 134, 140, 159, 177, 
##     -161, -138, -135, -134, -164, -169, 136, 122, 117, 113, 73.3, 
##     57.3, 56.1, 61.8, 115, 71.8, 57.8, 58, 60.3, 63.8, 77.2, 
##     86.8, 98.1, 104, 130, 136, 143, 162, 173, -136, -129, -128, 
##     -130, -162, 179, 173, 147, 106, 102, 90.2, 69.2, 66.2, 124, 
##     115, 108, 69.8, 60.7, 60.9, 64.5, 71.9, 73.9, 81.1, 83.4, 
##     86.6, 86.8, 87.3, 87.3, 87.3, 87.6, 87.9, 88.1, 88.4, 88.4, 
##     88.5, 88.5, 88.4, 88.5, 88.6, 88.8, 88.9, 88.8, 89, 89, 89.1, 
##     89.1, 88.9, 89.2, 89.4, 89.3, 89.3, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -163, 
##     -119, -97.7, -99.3, -122, -126, -137, 178, 170, 160, 132, 
##     117, 88.3, 88.6, 90.2, 91.3, 124, 125, 103, 99.6, 90.1, 89.2, 
##     88.6, 92.6, 101, 104, 120, 135, 141, 159, 173, -151, -145, 
##     -139, -133, -115, -110, -104, -94.9, -97.8, -101, -108, 149, 
##     139, 117, 96.5, 93.8, 86.9, 86.3, 85.9, 86.8, 93.6, 109, 
##     113, 132, 155, 160, 166, 179, -143, -97.5, -121, -127, -139, 
##     -144, -169, 160, 143, 133, 118, 108, 95.2, 89.4, 86.2, 86.8, 
##     90.9, 132, 127, 122, 108, 99.2, 90.1, 88.5, 87, 87.8, 91.4, 
##     103, 116, 121, 132, 138, 128, 113, 97.7, 88.4, 80.8, 80.4, 
##     79.9, 80.2, 81.6, 82.4, 83.8, 88.7, 91, 93.5, 96.8, 104, 
##     116, 138, 144, 156, -127, -120, -109, -97.8, -96.9, -103, 
##     -120, -130, -168, 160, 140, -101, -115, -133, 147, 128, 110, 
##     93, 92.2, 93.7, 94.4, 94.9, 95.3, 96.4, 97.8, 98, 98.9, 99, 
##     99, 99, 99.1, 98.1, 98, 98, 98.7, 98.8, 99.3, 99.7, 89.2, 
##     89.2, 88.7, 88.7, 88.8, 88.9, 88.9, 89.1, 89.4, 90, 91.1, 
##     92.2, 92.6, 92.9, 93.1, 92.9, 92.4, 91.6, 89.4, 89.4, 89.5, 
##     90.1, 90, 90.8, 91.3, 91.3, 91.5, 91.4, 90.9, 177, 179, -179, 
##     -175, -121, -97.1, -83, -65.9, -56.6, -54.2, -52.1, -50, 
##     -48.3, -41.3, -37.5, -37.4, -37.6, 83.4, 82.8, 82.7, 82.6, 
##     82.6, 82.8, 82.9, 83, 83.3, 83.4, 83.7, 84.3, 84.9, 85, 85.6, 
##     85.8, 86.3, 61.9, 62.6, 64.1, 71.9, 75.4, 84.2, 126, -178, 
##     -172, -165, -144, -139, -130, -124, 68.1, 81.5, 114, 121, 
##     133, 141, 141, 154, 162, 178, -175, -161, -154, -137, -157, 
##     -171, 166, 141, 134, 95.1, 91.7, 85.4, 83.7, 77, 77, 81.4, 
##     82.8, 83.6, 84.4, 84.4, 85, 86, 88.1, 164, 163, 163, 163, 
##     163, 163, 163, 163, 163, 163, 163, 163, 163, 163, -44.7, 
##     -55.6, -84.5, -101, -60, -55.6, -46, -41.3, -32.4, -3.19, 
##     2.32, 4.57, 6.67, 8.49, 11, 13, 14.9, -78.3, -75.1, -49.3, 
##     -45.3, -33.3, -29.1, -21.8, -10.6, -0.69, 8.88, 28.6, 18.6, 
##     114, 109, 86.6, 82.3, 83.4, 88.4, 113, 137, 143, 148, 164, 
##     176, -155, -149, -144, -115, -101, -92.6, -94.6, 157, 174, 
##     -173, -166, -147, -140, -129, -116, -103, -131, -137, -142, 
##     179, 163, 102, 105, 108, 117, 166, -165, -159, -153, -142, 
##     -96.6, -97.7, -121, -126, -138, -174, 147, 134, 144, 150, 
##     -171, -151, -119, -99, -103, -113, -117, -122, -158, 122, 
##     107, 97.1, 92.6, 90.7, 88.1, 91.1, 93, 93.8, 101, 103, 117, 
##     121, 114, 105, 88.3, 80.8, 80.6, 81.3, 84, 127, 159, -179, 
##     -173, -142, -119, -139, -105, -101, -86.7, -79.3, -79.2, 
##     -81.8, -83.7, -111, -136, -178, 159, 152, 145, -152, 137, 
##     126, 104, 96.6, 96.7, 97.8, 100, 104, 112, 116, 129, 141, 
##     155, -163, 113, 120, 133, 137, 142, 147, 167, -174, -117, 
##     -110, -68.1, -63.8, -59.3, -55.4, -47.1, -46.2, -48.5, -50.1, 
##     -55.5, -62.4, -64.9, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0), total_accel_forearm = c(36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 37, 36, 36, 36, 36, 36, 37, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 35, 35, 35, 34, 35, 35, 34, 
##     34, 34, 34, 35, 34, 34, 34, 35, 34, 34, 35, 35, 34, 34, 35, 
##     35, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 33, 34, 
##     34, 34, 33, 34, 33, 30, 30, 31, 31, 31, 29, 30, 33, 33, 35, 
##     37, 36, 37, 36, 37, 38, 36, 36, 35, 34, 35, 32, 32, 30, 29, 
##     28, 30, 30, 33, 34, 34, 34, 35, 35, 34, 33, 34, 37, 35, 33, 
##     35, 34, 33, 33, 34, 35, 35, 36, 36, 35, 35, 35, 35, 34, 34, 
##     34, 35, 35, 35, 34, 35, 35, 34, 35, 34, 34, 35, 35, 35, 34, 
##     34, 34, 34, 34, 34, 34, 35, 34, 35, 34, 34, 34, 35, 34, 35, 
##     34, 34, 26, 27, 28, 31, 28, 29, 30, 33, 29, 29, 28, 27, 24, 
##     28, 26, 34, 35, 36, 38, 35, 36, 36, 36, 36, 39, 38, 38, 37, 
##     38, 36, 36, 35, 36, 36, 31, 30, 30, 27, 24, 26, 28, 33, 29, 
##     31, 31, 28, 32, 40, 38, 34, 33, 34, 36, 32, 35, 35, 35, 36, 
##     37, 37, 38, 38, 37, 37, 36, 35, 34, 30, 29, 29, 29, 27, 32, 
##     33, 35, 35, 35, 34, 33, 32, 35, 35, 35, 35, 35, 37, 37, 35, 
##     35, 37, 37, 35, 30, 29, 26, 26, 32, 30, 29, 28, 28, 28, 26, 
##     28, 27, 28, 25, 27, 26, 30, 30, 32, 30, 30, 31, 31, 31, 33, 
##     35, 35, 34, 34, 35, 34, 35, 34, 36, 34, 36, 30, 29, 26, 25, 
##     27, 33, 30, 34, 34, 34, 38, 38, 36, 36, 34, 28, 26, 29, 30, 
##     30, 31, 29, 27, 26, 31, 33, 35, 34, 36, 36, 38, 39, 36, 25, 
##     26, 28, 27, 32, 29, 31, 30, 28, 26, 29, 28, 24, 25, 26, 26, 
##     30, 32, 32, 37, 34, 34, 37, 38, 33, 12, 13, 14, 13, 12, 12, 
##     13, 13, 14, 14, 13, 13, 13, 13, 13, 12, 12, 13, 14, 14, 13, 
##     13, 12, 13, 15, 14, 13, 13, 13, 13, 13, 13, 14, 13, 13, 13, 
##     13, 13, 13, 13, 13, 14, 13, 13, 12, 12, 13, 13, 13, 14, 13, 
##     13, 13, 13, 13, 13, 12, 14, 13, 14, 14, 13, 13, 13, 13, 12, 
##     13, 13, 13, 14, 14, 13, 14, 13, 13, 13, 13, 14, 14, 14, 14, 
##     13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 14, 13, 14, 13, 13, 
##     13, 12, 12, 13, 13, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 
##     13, 14, 13, 13, 14, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 
##     14, 14, 12, 12, 12, 13, 13, 13, 31, 25, 24, 15, 16, 18, 18, 
##     15, 16, 20, 18, 14, 20, 13, 13, 13, 13, 13, 13, 26, 35, 25, 
##     26, 33, 36, 32, 35, 40, 40, 29, 39, 38, 37, 37, 47, 40, 41, 
##     12, 12, 19, 14, 12, 11, 12, 14, 14, 14, 41, 43, 43, 43, 40, 
##     42, 40, 42, 41, 45, 40, 40, 43, 42, 38, 43, 45, 40, 44, 40, 
##     39, 42, 42, 41, 41, 42, 41, 42, 42, 44, 40, 39, 43, 42, 41, 
##     40, 42, 43, 42, 42, 41, 42, 43, 42, 41, 41, 42, 42, 41, 40, 
##     41, 43, 42, 39, 38, 40, 42, 42, 42, 41, 42, 40, 39, 42, 41, 
##     42, 42, 41, 45, 43, 42, 38, 35, 35, 36, 40, 41, 44, 45, 45, 
##     44, 43, 42, 41, 41, 41, 40, 40, 39, 39, 38, 39, 39, 40, 39, 
##     38, 39, 40, 42, 40, 39, 39, 40, 40, 37, 38, 38, 38, 39, 39, 
##     42, 42, 41, 40, 48, 55, 53, 54, 57, 56, 46, 45, 44, 43, 41, 
##     41, 46, 45, 50, 48, 49, 49, 47, 48, 50, 50, 51, 52, 53, 51, 
##     50, 48, 45, 43, 43, 42, 41, 40, 40, 40, 39, 39, 40, 41, 40, 
##     44, 44, 46, 51, 54, 53, 54, 49, 44, 43, 43, 39, 41, 41, 40, 
##     52, 51, 48, 47, 44, 44, 47, 48, 48, 46, 42, 44, 43, 42, 39, 
##     42, 38, 38, 40, 42, 51, 47, 46, 46, 43, 43, 42, 42, 42, 43, 
##     42, 43, 44, 43, 44, 42, 41, 39, 38, 40, 40, 39, 44, 43, 46, 
##     46, 52, 50, 50, 49, 47, 44, 47, 49, 45, 44, 41, 43, 41, 40, 
##     40, 40, 40, 39, 39, 41, 43, 47, 50, 52, 52, 54, 53, 51, 51, 
##     50, 47, 41, 42, 41, 40, 41, 43, 42, 41, 42, 41, 42, 40, 39, 
##     50, 48, 44, 42, 52, 52, 51, 49, 48, 48, 47, 44, 41, 39, 41, 
##     40, 50, 50, 49, 49, 50, 51, 48, 45, 44, 43, 42, 50, 49, 46, 
##     46, 47, 46, 43, 43, 40, 41, 42, 42, 40, 50, 50, 56, 55, 49, 
##     50, 50, 49, 45, 44, 42, 40, 42, 42, 45, 41, 41, 42, 41, 40, 
##     42, 41, 40, 43, 42, 42, 41, 37, 36, 37, 36, 45, 47, 48, 49, 
##     46, 44, 49, 51, 50, 48, 50, 48, 46, 45, 45, 44, 41, 41, 42, 
##     42, 42, 42, 42, 41, 41, 41, 41, 42, 42, 41, 39, 40, 38, 38, 
##     38, 38, 38, 40, 40, 36, 37, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 
##     37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 38, 
##     38, 39, 40, 41, 33, 31, 29, 29, 21, 22, 27, 26, 26, 25, 24, 
##     25, 26, 25, 26, 26, 26, 30, 30, 32, 31, 36, 38, 40, 39, 38, 
##     37, 38, 38, 38, 37, 36, 37, 37, 37, 36, 36, 36, 36, 37, 38, 
##     38, 42, 41, 42, 39, 40, 36, 33, 32, 31, 30, 27, 26, 25, 25, 
##     25, 26, 29, 25, 35, 37, 37, 35, 36, 37, 37, 37, 37, 39, 40, 
##     41, 42, 39, 39, 38, 29, 27, 26, 25, 23, 24, 25, 25, 25, 26, 
##     27, 24, 24, 23, 29, 30, 31, 33, 32, 36, 35, 36, 37, 39, 41, 
##     42, 41, 42, 41, 39, 36, 32, 29, 28, 23, 24, 27, 26, 26, 26, 
##     26, 24, 23, 37, 38, 38, 38, 36, 38, 38, 38, 29, 30, 38, 36, 
##     34, 33, 36, 41, 41, 37, 36, 36, 35, 35, 36, 36, 44, 44, 43, 
##     41, 34, 31, 26, 24, 30, 32, 31, 30, 28, 27, 27, 26, 23, 30, 
##     32, 37, 39, 37, 37, 39, 39, 39, 39, 38, 37, 35, 35, 35, 34, 
##     35, 34, 35, 35, 35, 35, 36, 37, 35, 38, 39, 41, 42, 40, 40, 
##     39, 39, 33, 32, 24, 23, 26, 31, 29, 29, 27, 27, 27, 26, 27, 
##     27, 27, 29, 36, 37, 38, 38, 42, 42, 35, 35, 35, 34, 30, 27, 
##     26, 24, 23, 24, 24, 34, 33, 27, 26, 25, 29, 38, 38, 38, 37, 
##     37, 36, 37, 37, 38, 38, 38, 38, 40, 39, 39, 38, 36, 32, 31, 
##     29, 28, 28, 26, 28, 24, 26, 26, 36, 28, 27, 22, 23, 28, 30, 
##     31, 35, 35, 36, 38, 38, 37, 37, 38, 38, 36, 38, 41, 37, 36, 
##     33, 28, 33, 33, 31, 28, 27, 26, 24, 24, 25, 27, 34, 33, 36, 
##     37, 40, 40, 28, 29, 33, 32, 33, 30, 34, 34, 32, 32, 32, 34, 
##     33, 33, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 32, 33, 32, 33, 33, 33, 33, 33, 33, 32, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 33, 33, 33, 33, 
##     33, 33, 33, 33, 34, 32, 30, 33, 34, 33, 34, 34, 33, 33, 32, 
##     32, 33, 33, 33, 32, 32, 33, 33, 33, 33, 33, 33, 33, 32, 33, 
##     33, 32, 33, 32, 32, 33, 32, 32, 33, 33, 33, 33, 33, 33, 32, 
##     33, 32, 33, 33, 33, 34, 34, 33, 33, 34, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 37, 37, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     35, 36, 36, 36, 36, 37, 38, 39, 39, 39, 39, 39, 39, 40, 40, 
##     40, 41, 41, 36, 36, 34, 33, 29, 29, 25, 26, 26, 29, 31, 31, 
##     30, 28, 29, 29, 30, 29, 29, 28, 28, 27, 30, 31, 26, 31, 29, 
##     34, 34, 42, 38, 38, 38, 37, 38, 37, 37, 38, 37, 39, 39, 41, 
##     43, 44, 39, 40, 40, 37, 37, 31, 27, 28, 29, 32, 32, 33, 30, 
##     29, 28, 29, 28, 26, 27, 27, 27, 27, 27, 28, 32, 35, 36, 38, 
##     41, 41, 45, 44, 42, 42, 42, 31, 27, 27, 27, 25, 29, 31, 32, 
##     28, 30, 29, 26, 23, 22, 26, 24, 29, 27, 36, 39, 41, 37, 40, 
##     43, 43, 42, 41, 42, 40, 38, 34, 32, 27, 25, 24, 26, 24, 25, 
##     27, 32, 34, 27, 30, 26, 27, 29, 36, 33, 24, 32, 25, 28, 28, 
##     25, 27, 25, 32, 32, 31, 36, 44, 41, 36, 45, 42, 42, 38, 41, 
##     40, 40, 42, 43, 46, 46, 41, 39, 37, 27, 27, 28, 28, 23, 23, 
##     24, 31, 35, 34, 31, 27, 27, 28, 27, 24, 24, 31, 29, 30, 37, 
##     40, 35, 41, 40, 35, 36, 37, 36, 39, 43, 46, 43, 43, 42, 37, 
##     29, 28, 26, 26, 28, 24, 24, 35, 32, 28, 26, 28, 26, 25, 24, 
##     30, 31, 36, 35, 34, 36, 36, 35, 36, 38, 39, 42, 41, 41, 39, 
##     39, 41, 41, 43, 46, 47, 45, 35, 26, 24, 30, 28, 30, 34, 33, 
##     26, 26, 28, 29, 25, 33, 33, 33, 33, 33, 33, 33, 32, 32, 33, 
##     33, 33, 33, 32, 33, 34, 33, 33, 32, 32, 33, 33, 33, 33, 33, 
##     33, 33, 33, 32, 32, 33, 33, 34, 33, 33, 32, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 32, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 32, 33, 32, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     34, 33, 33, 32, 34, 33, 33, 34, 33, 33, 33, 33, 33, 33, 33, 
##     35, 33, 32, 33, 33, 33, 33, 34, 34, 33, 33, 35, 32, 33, 34, 
##     33, 32, 33, 34, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 32, 
##     32, 34, 35, 34, 33, 34, 34, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 33, 33, 34, 
##     33, 33, 33, 33, 33, 33, 33, 34, 33, 33, 34, 34, 33, 34, 33, 
##     33, 35, 33, 37, 40, 40, 38, 39, 43, 44, 38, 35, 29, 28, 28, 
##     27, 24, 21, 33, 36, 30, 27, 28, 28, 22, 28, 34, 40, 29, 38, 
##     36, 31, 33, 34, 36, 35, 36, 32, 35, 36, 36, 39, 41, 38, 34, 
##     32, 26, 27, 27, 27, 24, 24, 26, 25, 26, 31, 30, 31, 29, 24, 
##     25, 22, 30, 38, 35, 37, 31, 30, 36, 36, 37, 38, 39, 38, 38, 
##     38, 37, 35, 32, 25, 27, 27, 26, 31, 27, 24, 25, 29, 30, 35, 
##     38, 35, 34, 36, 34, 40, 35, 33, 35, 37, 38, 35, 25, 24, 23, 
##     24, 38, 31, 32, 33, 30, 27, 27, 26, 24, 25, 27, 35, 43, 34, 
##     31, 44, 38, 38, 36, 42, 39, 35, 34, 23, 31, 31, 31, 31, 28, 
##     38, 37, 31, 31, 37, 34, 33, 34, 37, 37, 37, 39, 33, 33, 26, 
##     25, 25, 25, 27, 27, 34, 33, 26, 31, 26, 31, 26, 40, 31, 33, 
##     36, 40, 35, 36, 37, 35, 38, 35, 37, 39, 38, 33, 31, 28, 27, 
##     23, 23, 23, 25, 24, 25, 31, 31, 28, 29, 25, 27, 24, 30, 36, 
##     36, 33, 32, 34, 37, 39, 39, 34, 35, 35, 35, 28, 24, 25, 26, 
##     26, 30, 30, 28, 30, 31, 30, 27, 24, 26, 26, 29, 33, 36, 37, 
##     37, 38, 36, 36, 35, 34, 35, 40, 40, 38, 41, 33, 29, 28, 25, 
##     22, 23, 22, 32, 27, 28, 27, 26, 26, 20, 28, 26, 28, 33, 35, 
##     36, 35, 33, 33, 36, 34, 34, 37, 39, 43, 37, 21, 35, 31, 30, 
##     32, 31, 26, 25, 33, 27, 26, 37, 38, 36, 36, 37, 36, 36, 37, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 50, 50, 51, 49, 48, 41, 45, 45, 45, 44, 40, 42, 47, 
##     49, 48, 48, 43, 42, 41, 41, 42, 46, 47, 50, 50, 51, 51, 44, 
##     42, 43, 43, 40, 37, 35, 38, 42, 44, 41, 41, 40, 42, 41, 41, 
##     40, 40, 43, 45, 47, 48, 38, 37, 40, 39, 38, 40, 39, 39, 40, 
##     40, 40, 40, 39, 40, 39, 38, 38, 38, 39, 38, 38, 39, 39, 39, 
##     39, 39, 40, 39, 38, 37, 38, 40, 40, 37, 37, 36, 36, 39, 42, 
##     40, 40, 41, 41, 40, 40, 39, 40, 40, 38, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 
##     1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 
##     2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 4, 10, 15, 16, 24, 24, 22, 23, 24, 25, 23, 22, 
##     21, 21, 22, 23, 22, 21, 20, 24, 25, 22, 21, 20, 21, 22, 23, 
##     22, 22, 22, 22, 22, 23, 23, 22, 22, 22, 22, 23, 23, 22, 22, 
##     21, 20, 21, 21, 22, 22, 24, 24, 25, 25, 26, 26, 24, 22, 21, 
##     22, 19, 15, 13, 13, 13, 10, 8, 7, 6, 7, 8, 9, 8, 6, 4, 3, 
##     6, 3, 3, 3, 3, 3, 4, 4, 4, 5, 9, 12, 14, 14, 16, 19, 23, 
##     24, 22, 24, 29, 33, 34, 39, 39, 41, 46, 48, 51, 53, 49, 49, 
##     49, 50, 48, 44, 44, 41, 42, 34, 33, 31, 24, 15, 14, 20, 15, 
##     14, 16, 18, 22, 26, 32, 32, 39, 40, 39, 41, 45, 50, 50, 49, 
##     51, 52, 47, 47, 46, 51, 53, 42, 42, 51, 33, 29, 28, 46, 37, 
##     38, 39, 40, 41, 45, 49, 49, 49, 48, 40, 43, 35, 34, 35, 23, 
##     27, 24, 21, 33, 33, 37, 41, 45, 45, 47, 52, 50, 51, 42, 45, 
##     43, 41, 41, 39, 36, 32, 29, 27, 24, 26, 20, 15, 13, 16, 15, 
##     14, 15, 17, 20, 20, 24, 25, 29, 29, 34, 34, 37, 48, 49, 51, 
##     51, 51, 47, 47, 44, 40, 29, 24, 17, 9, 10, 9, 11, 11, 9, 
##     11, 12, 14, 13, 16, 19, 17, 18, 20, 22, 29, 31, 29, 33, 41, 
##     45, 52, 48, 50, 50, 46, 45, 41, 33, 28, 29, 31, 27, 29, 21, 
##     23, 23, 13, 11, 11, 9, 9, 10, 8, 9, 17, 15, 12, 10, 8, 17, 
##     18, 19, 15, 15, 24, 28, 27, 29, 30, 33, 37, 43, 45, 46, 48, 
##     49, 47, 48, 49, 52, 52, 53, 52, 52, 50, 50, 47, 46, 39, 39, 
##     38, 30, 36, 30, 35, 28, 27, 20, 18, 31, 37, 45, 46, 48, 46, 
##     50, 51, 51, 51, 50, 50, 50, 48, 48, 46, 44, 40, 38, 39, 38, 
##     40, 39, 44, 44, 45, 49, 51, 49, 50, 48, 51, 50, 51, 50, 48, 
##     47, 46, 45, 45, 45, 44, 45, 45, 44, 45, 46, 46, 49, 50, 51, 
##     53, 53, 43, 41, 40, 42, 42, 41, 43, 42, 43, 41, 42, 42, 43, 
##     43, 43, 43, 43, 41, 41, 39, 39, 39, 38, 39, 38, 43, 43, 45, 
##     44, 49, 50, 51, 48, 47, 45, 45, 12, 10, 10, 10, 10, 10, 10, 
##     13, 13, 10, 12, 15, 13, 12, 10, 12, 13, 13, 14, 18, 17, 18, 
##     18, 17, 17, 19, 23, 26, 28, 30, 29, 31, 32, 6, 3, 4, 4, 5, 
##     3, 1, 2, 3, 3, 3, 3, 21, 21, 21, 21, 20, 22, 21, 21, 20, 
##     21, 20, 19, 19, 19, 1, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 
##     1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 33, 34, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 34, 33, 33, 32, 33, 33, 33, 
##     33, 33, 32, 33, 33, 30, 36, 40, 37, 32, 31, 34, 36, 33, 33, 
##     28, 31, 38, 38, 39, 36, 37, 35, 34, 30, 31, 25, 21, 21, 29, 
##     29, 24, 24, 23, 24, 37, 35, 35, 35, 36, 36, 35, 35, 35, 36, 
##     36, 36, 36, 39, 40, 39, 39, 36, 39, 40, 39, 38, 36, 35, 35, 
##     35, 34, 35, 36, 35, 35, 25, 26, 29, 32, 35, 35, 35, 36, 36, 
##     37, 39, 37, 37, 37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 36, 37, 37, 38, 39, 
##     108, 40, 38, 35, 31, 36, 34, 36, 37, 39, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 37, 37, 37, 37, 38, 35, 33, 32, 32, 32, 
##     33, 38, 37, 36, 36, 36, 37, 36, 36, 36, 36, 36, 36, 36, 38, 
##     36, 37, 36, 35, 37, 36, 35, 37, 38, 38, 36, 34, 33, 30, 27, 
##     26, 27, 29, 31, 35, 33, 33, 34, 38, 27, 28, 33, 27, 29, 34, 
##     34, 33, 35, 30, 27, 29, 30, 30, 31, 27, 28, 34, 35, 34, 34, 
##     34, 34, 35, 34, 36, 36, 33, 33, 32, 34, 34, 40, 44, 47, 47, 
##     46, 45, 38, 37, 34, 31, 29, 27, 30, 29, 27, 26, 35, 37, 34, 
##     35, 37, 38, 35, 35, 30, 29, 28, 28, 27, 29, 32, 32, 30, 25, 
##     25, 28, 29, 30, 32, 34, 32, 35, 37, 35, 33, 33, 34, 35, 36, 
##     36, 37, 35, 35, 34, 33, 30, 27, 26, 25, 32, 32, 32, 28, 28, 
##     34, 34, 35, 32, 33, 33, 33, 33, 33, 32, 33, 32, 33, 34, 33, 
##     33, 32, 34, 34, 34, 34, 35, 36, 36, 37, 36, 36, 36, 35, 23, 
##     21, 22, 25, 24, 23, 41, 35, 28, 28, 17, 22, 26, 30, 30, 34, 
##     41, 38, 34, 35, 37, 36, 35, 35, 37, 37, 41, 26, 23, 35, 33, 
##     28, 25, 20, 20, 20, 30, 28, 31, 33, 37, 42, 38, 36, 37, 37, 
##     40, 38, 33, 25, 22, 51, 56, 36, 30, 25, 24, 19, 25, 28, 33, 
##     27, 31, 21, 23, 28, 35, 47, 45, 28, 22, 21, 18, 30, 44, 42, 
##     42, 43, 35, 37, 37, 35, 42, 43, 40, 38, 35, 36, 31, 25, 20, 
##     32, 38, 44, 29, 28, 27, 14, 22, 37, 36, 39, 40, 34, 33, 34, 
##     37, 37, 38, 41, 39, 38, 39, 37, 21, 43, 19, 44, 29, 25, 22, 
##     18, 19, 21, 26, 50, 42, 29, 26, 24, 24, 19, 28, 30, 33, 37, 
##     38, 45, 36, 34, 35, 40, 40, 35, 35, 35, 36, 40, 44, 49, 34, 
##     33, 28, 25, 21, 17, 18, 25, 55, 53, 48, 31, 28, 25, 17, 19, 
##     24, 24, 35, 39, 38, 24, 40, 38, 37, 38, 38, 36, 35, 35, 35, 
##     36, 36, 36, 37, 37, 37, 37, 37, 39, 40, 40, 40, 42, 44, 44, 
##     41, 38, 32, 31, 28, 24, 21, 19, 19, 20, 22, 23, 38, 39, 33, 
##     26, 25, 24, 23, 22, 20, 23, 27, 26, 30, 31, 33, 36, 38, 37, 
##     37, 39, 39, 40, 39, 38, 39, 38, 37, 37, 36, 36, 37, 42, 42, 
##     43, 45, 46, 44, 37, 32, 31, 28, 22, 22, 21, 21, 21, 22, 24, 
##     26, 28, 39, 39, 36, 36, 36, 36, 35, 36, 37, 37, 40, 43, 45, 
##     45, 45, 43, 38, 37, 36, 30, 24, 20, 21, 21, 21, 22, 22, 22, 
##     44, 38, 33, 27, 23, 21, 20, 21, 27, 34, 32, 35, 39, 40, 42, 
##     43, 38, 38, 37, 36, 36, 20, 21, 23, 25, 28, 32, 48, 38, 35, 
##     32, 30, 29, 27, 21, 21, 26, 32, 34, 34, 40, 41, 42, 43, 42, 
##     41, 39, 38, 39, 37, 37, 36, 39, 40, 41, 42, 45, 40, 38, 33, 
##     31, 28, 25, 22, 20, 22, 22, 31, 36, 47, 32, 28, 27, 25, 21, 
##     24, 28, 31, 32, 37, 38, 41, 45, 44, 43, 37, 37, 39, 38, 38, 
##     38, 39, 39, 44, 45, 39, 28, 21, 25, 27, 34, 33, 33, 29, 26, 
##     25, 24, 22, 35, 33, 33, 39, 37, 40, 39, 42, 43, 39, 40, 32, 
##     29, 28, 25, 23, 22, 21, 21, 23, 25, 27, 29, 32, 39, 43, 48, 
##     44, 43, 40, 38, 39, 39, 41, 47, 37, 29, 25, 23, 22, 24, 27, 
##     28, 49, 48, 44, 32, 24, 21, 18, 20, 31, 33, 38, 37, 39, 27, 
##     33, 31, 37, 32, 37, 37, 40, 42, 41, 42, 39, 40, 42, 42, 43, 
##     43, 44, 44, 47, 48, 47, 38, 32, 31, 30, 31, 29, 25, 26, 25, 
##     33, 27, 30, 34, 33, 39, 40, 45, 39, 37, 40, 39, 42, 38, 43, 
##     41, 45, 45, 46, 46, 45, 43, 43, 33, 31, 26, 32, 31, 28, 28, 
##     29, 29, 29, 25, 27, 24, 22, 21, 26, 28, 33, 43, 40, 37, 37, 
##     37, 38, 38, 38, 38, 37, 37, 38, 38, 38, 37, 38, 37, 38, 38, 
##     38, 38, 38, 38, 37, 37, 38, 37, 37, 38, 43, 28, 28, 27, 23, 
##     21, 19, 22, 21, 23, 27, 31, 42, 40, 44, 46, 42, 43, 40, 45, 
##     47, 47, 48, 38, 29, 29, 23, 24, 37, 43, 47, 28, 29, 31, 33, 
##     27, 25, 27, 30, 33, 33, 35, 34, 33, 38, 40, 44, 44, 43, 44, 
##     43, 45, 45, 47, 43, 30, 28, 29, 29, 25, 39, 40, 40, 42, 43, 
##     46, 46, 47, 48, 43, 41, 38, 27, 24, 26, 26, 26, 28, 30, 42, 
##     40, 35, 32, 32, 32, 52, 44, 35, 27, 26, 27, 27, 25, 24, 30, 
##     30, 30, 27, 23, 27, 33, 37, 33, 35, 38, 40, 39, 41, 45, 47, 
##     34, 30, 26, 25, 26, 29, 41, 38, 40, 42, 48, 48, 47, 37, 36, 
##     37, 36, 32, 26, 23, 24, 26, 34, 36, 39, 39, 40, 40, 39, 38, 
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##     34, 32, 31, 24, 23, 34, 39, 34, 37, 37, 41, 41, 41, 40, 40, 
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##     32, 32, 33, 41, 41, 28, 24, 22, 22, 24, 44, 41, 40, 32, 17, 
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##     27, 23, 25, 30, 33, 43, 34, 42, 44, 43, 50, 46, 35, 41, 38, 
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##     32, 37, 45, 46, 43, 51, 25, 24, 24, 43, 46, 50, 28, 25, 31, 
##     28, 61, 44, 42, 46, 46, 47, 35, 18, 28, 26, 28, 33, 37, 40, 
##     34, 33, 37, 34, 34, 28, 32, 32, 32, 42, 42, 44, 45, 45, 44, 
##     43, 38, 38, 38, 43, 42, 40, 39, 39, 39, 39, 39, 39, 39, 39, 
##     38, 38, 38, 38, 38, 39, 38, 38, 37, 38, 38, 37, 37, 37, 37, 
##     37, 37, 37, 36, 36, 36, 36, 37, 38, 39, 40, 38, 38, 38, 39, 
##     41, 43, 55, 61, 59, 60, 31, 28, 30, 30, 31, 28, 30, 28, 29, 
##     28, 29, 28, 28, 44, 49, 50, 53, 50, 50, 51, 52, 49, 49, 49, 
##     48, 43, 43, 43, 43, 43, 45, 46, 47, 48, 50, 30, 30, 30, 29, 
##     29, 29, 30, 30, 29, 28, 29, 29, 40, 40, 42, 41, 43, 43, 57, 
##     58, 57, 49, 43, 41, 41, 39, 36, 34, 32, 31, 31, 32, 30, 31, 
##     29, 30, 28, 28, 28, 28, 29, 27, 29, 28, 28, 44, 43, 49, 50, 
##     47, 47, 49, 53, 54, 40, 43, 44, 45, 45, 44, 44, 46, 52, 53, 
##     57, 59, 51, 50, 45, 42, 42, 41, 42, 30, 34, 40, 43, 49, 47, 
##     47, 50, 51, 48, 41, 42, 43, 44, 43, 43, 42, 42, 46, 30, 30, 
##     30, 32, 31, 29, 29, 29, 29, 29, 30, 29, 36, 42, 47, 50, 52, 
##     52, 50, 49, 49, 48, 49, 48, 45, 43, 43, 44, 44, 40, 42, 43, 
##     50, 52, 52, 53, 56, 56, 57, 57, 54, 39, 31, 30, 30, 30, 32, 
##     31, 31, 31, 32, 32, 32, 31, 32, 31, 44, 43, 46, 51, 51, 52, 
##     51, 46, 51, 53, 47, 43, 43, 45, 46, 46, 46, 45, 43, 42, 40, 
##     45, 48, 47, 48, 50, 51, 53, 56, 58, 57, 56, 56, 55, 56, 42, 
##     32, 36, 35, 35, 35, 36, 34, 35, 36, 33, 32, 31, 30, 33, 34, 
##     46, 50, 48, 50, 46, 47, 48, 47, 44, 43, 42, 44, 44, 40, 40, 
##     40, 39, 39, 51, 52, 50, 52, 49, 49, 40, 36, 34, 33, 33, 33, 
##     42, 32, 30, 30, 27, 26, 25, 27, 28, 47, 48, 52, 47, 50, 50, 
##     45, 42, 42, 43, 43, 43, 42, 42, 42, 42, 41, 41, 41, 52, 56, 
##     53, 56, 54, 52, 48, 40, 42, 38, 36, 33, 44, 51, 51, 51, 51, 
##     49, 47, 45, 45, 45, 44, 43, 43, 43, 42, 41, 41, 40, 40, 40, 
##     40, 42, 42, 45, 44, 45, 44, 41, 41, 41, 42, 42, 44, 44, 45, 
##     49, 50, 51, 52, 51, 50, 50, 50, 43, 27, 20, 20, 18, 16, 13, 
##     8, 8, 9, 13, 14, 14, 14, 10, 10, 13, 15, 46, 51, 53, 54, 
##     51, 49, 49, 42, 42, 34, 30, 29, 29, 29, 30, 32, 22, 20, 19, 
##     17, 16, 15, 13, 11, 14, 15, 14, 11, 7, 13, 11, 13, 16, 19, 
##     21, 22, 23, 23, 37, 34, 37, 38, 41, 43, 47, 47, 46, 47, 44, 
##     49, 48, 52, 53, 53, 51, 50, 49, 48, 44, 44, 42, 37, 38, 34, 
##     35, 30, 26, 32, 19, 18, 18, 14, 12, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 17, 25, 23, 24, 24, 28, 26, 30, 30, 39, 
##     35, 43, 42, 44, 45, 50, 45, 43, 40, 39, 32, 29, 31, 32, 30, 
##     27, 26, 24, 21, 19, 18, 15, 13, 11, 10, 49, 48, 45, 46, 48, 
##     50, 54, 53, 49, 50, 43, 42, 40, 32, 30, 25, 31, 29, 25, 18, 
##     13, 11, 8, 8, 10, 11, 13, 14, 15, 27, 26, 21, 23, 31, 33, 
##     44, 46, 46, 45, 49, 51, 53, 54, 52, 54, 53, 53, 53, 52, 50, 
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##     10, 12, 13, 17, 18, 19, 25, 26, 25, 30, 31, 36, 39, 43, 47, 
##     50, 50, 50, 52, 54, 55, 56, 55, 52, 51, 52, 52, 50, 45, 43, 
##     40, 40, 32, 30, 28, 28, 17, 17, 17, 17, 17, 33, 37, 43, 43, 
##     45, 45, 47, 48, 48, 50, 50, 51, 54, 54, 51, 53, 52, 52, 51, 
##     49, 48, 44, 44, 43, 40, 35, 33, 31, 27, 26, 24, 24, 21, 19, 
##     14, 11, 10, 10, 11, 10, 10, 9, 9, 8, 9, 10, 12, 13, 18, 50, 
##     51, 52, 54, 51, 54, 53, 48, 43, 40, 43, 34, 37, 27, 38, 34, 
##     25, 24, 13, 12, 13, 7, 7, 7, 10, 10, 11, 14, 15, 15, 15, 
##     17, 20, 22, 22, 28, 32, 32, 33, 40, 46, 47, 50, 50, 57, 52, 
##     52, 50, 47, 46, 41, 41, 38, 32, 37, 32, 20, 11, 8, 10, 10, 
##     11, 11, 12, 17, 18, 20, 20, 19, 21, 22, 27, 27, 29, 37, 44, 
##     46, 45, 48, 50, 50, 56, 53, 53, 52, 52, 52, 53, 52, 52, 51, 
##     47, 46, 46, 42, 42, 42, 40, 45, 44, 43, 43, 44, 44, 43, 41, 
##     41, 40, 42, 45, 40, 38, 41, 42, 42, 48, 48, 46, 49, 48, 47, 
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##     41, 41, 47, 47, 50, 49, 50, 52, 53, 45, 44, 38, 40, 45, 42, 
##     40, 41, 41, 42, 43, 43, 42, 41, 40, 40, 41, 42, 43, 42, 41, 
##     42, 42, 42, 42, 28, 30, 39, 40, 42, 45, 44, 47, 50, 49, 51, 
##     51, 7, 7, 9, 11, 11, 11, 12, 13, 19, 21, 22, 24, 24, 22, 
##     22, 27, 19, 18, 25, 29, 31, 31, 29, 31, 38, 38, 46, 47, 48, 
##     49, 49, 48, 50, 53, 51, 49, 51, 52, 52, 51, 51, 52, 15, 19, 
##     21, 22, 28, 37, 39, 39, 41, 45, 50, 48, 31, 33, 30, 32, 32, 
##     30, 31, 32, 32, 32, 31, 38, 45, 48, 52, 58, 51, 27, 25, 22, 
##     26, 26, 28, 36, 34, 25, 20, 21, 24, 25, 37, 51, 33, 31, 17, 
##     19, 25, 33, 34, 43, 41, 23, 39, 29, 40, 42, 42, 33, 32, 32, 
##     35, 38, 38, 48, 45, 47, 30, 30, 31, 31, 30, 31, 31, 31, 30, 
##     31, 31, 30, 30, 30, 30, 30, 31, 30, 30, 31, 31, 43, 42, 42, 
##     44, 38, 40, 38, 38, 38, 38, 44, 44, 45, 49, 46, 45, 42, 43, 
##     44, 45, 44, 33, 23, 22, 21, 21, 21, 29, 32, 47, 47, 44, 41, 
##     36, 37, 42, 42, 43, 43, 45, 35, 33, 31, 27, 20, 49, 48, 42, 
##     31, 30, 27, 24, 21, 22, 26, 30, 31, 30, 31, 31, 37, 38, 35, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 35, 36, 36, 35, 36, 
##     36, 37, 36, 36, 36, 36, 36, 36, 35, 36, 36, 42, 47, 39, 29, 
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##     37, 36, 38, 42, 27, 27, 31, 30, 32, 36, 36, 33, 31, 30, 31, 
##     28, 25, 28, 39, 36, 35, 35, 35, 35, 33, 27, 28, 43, 44, 46, 
##     46, 42, 38, 32, 32, 32, 32, 28, 23, 22, 30, 35, 35, 35, 34, 
##     32, 29, 27, 24, 23, 25, 34, 32, 33, 35, 36, 30, 31, 30, 31, 
##     33, 32, 33, 37, 38, 43, 41, 45, 33, 34, 40, 31, 30, 31, 31, 
##     29, 27, 25, 25, 33, 32, 33, 32, 32, 29, 28, 28, 23, 28, 31, 
##     33, 34, 35, 44, 45, 46, 46, 52, 51, 46, 38, 27, 25, 23, 22, 
##     25, 29, 38, 42, 44, 45, 30, 44, 46, 45, 47, 48, 34, 27, 25, 
##     26, 27, 29, 30, 33, 35, 36, 38, 39, 35, 33, 45, 43, 39, 43, 
##     39, 38, 39, 39, 37, 37, 38, 38, 37, 42, 43, 41, 39, 39, 36, 
##     35, 35, 38, 38, 38, 37, 40, 40, 36, 20, 20, 16, 17, 34, 34, 
##     20, 19, 10, 38, 40, 42, 41, 41, 39, 40, 46, 37, 40, 38, 39, 
##     41, 40, 46, 45, 34, 26, 24, 46, 44, 37, 35, 33, 29, 27, 20, 
##     32, 31, 34, 35, 34, 39, 35, 39, 44, 45, 43, 37, 39, 38, 37, 
##     37, 36, 37, 35, 36, 35, 34, 35, 33, 38, 39, 29, 28, 29, 30, 
##     32, 29, 29, 26, 25, 27, 28, 29, 31, 31, 30, 30, 29, 27, 37, 
##     36, 39, 39, 39, 38, 36, 31, 30, 29, 28, 28, 24, 26, 26, 32, 
##     34, 29, 29, 38, 38, 36, 36, 36, 37, 38, 38, 36, 38, 37, 36, 
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##     24, 29, 30, 33, 36, 34, 36, 41, 36, 37, 36, 36, 35, 35, 38, 
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##     38, 38, 38, 37, 36, 37, 36, 34, 28, 25, 23, 23, 24, 29, 32, 
##     36, 42, 38, 37, 38, 35, 36, 35, 36, 36, 36, 39, 39, 37, 37, 
##     37, 32, 32, 27, 26, 26, 25, 26, 26, 27, 31, 30, 33, 32, 36, 
##     34, 34, 36, 34, 37, 34, 23, 22, 21, 43, 23, 21, 23, 33, 35, 
##     36, 35, 35, 34, 34, 37, 46, 42, 41, 40, 39, 38, 39, 39, 39, 
##     45, 46, 34, 32, 24, 24, 24, 20, 21, 27, 28, 48, 29, 25, 24, 
##     22, 21, 23, 25, 25, 36, 35, 42, 39, 36, 36, 36, 37, 33, 36, 
##     36, 36, 35, 34, 35, 36, 36, 39, 41, 41, 40, 39, 40, 29, 29, 
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##     38, 35, 35, 35, 36, 36, 36, 37, 38, 38, 39, 43, 42, 37, 34, 
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##     38, 37, 38, 38, 38, 42, 34, 33, 27, 25, 25, 26, 28, 38, 37, 
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##     25, 25, 27, 31, 32, 32, 34, 38, 35, 40, 39, 40, 37, 37, 36, 
##     37, 37, 38, 38, 40, 42, 42, 42, 35, 26, 25, 24, 26, 21, 22, 
##     23, 22, 22, 23, 25, 25, 27, 27, 29, 30, 30, 29, 37, 34, 39, 
##     37, 39, 43, 36, 30, 30, 27, 24, 25, 25, 25, 26, 28, 28, 27, 
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##     40, 42, 42, 42, 42, 42, 38, 37, 27, 26, 25, 24, 24, 25, 30, 
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##     39, 37, 38, 38, 38, 40, 39, 37, 38, 39, 37, 37, 37, 37, 38, 
##     39, 39, 39, 39, 39, 38, 38, 38, 38, 39, 41, 42, 40, 40, 39, 
##     37, 34, 30, 30, 29, 29, 30, 34, 32, 32, 28, 30, 32, 33, 29, 
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##     34, 25, 25, 26, 26, 27, 28, 27, 30, 32, 39, 40, 40, 41, 43, 
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##     30, 32, 30, 32, 31, 31, 34, 37, 37, 38, 40, 31, 29, 27, 27, 
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##     34, 34, 34, 34, 33, 32, 33, 40, 49, 52, 52, 56, 49, 47, 47, 
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##     32, 33, 31, 33, 28, 29, 28, 27, 28, 27, 26, 24, 22, 36, 41, 
##     51, 54, 54, 51, 45, 43, 29, 28, 28, 26, 26, 28, 27, 29, 31, 
##     32, 30, 33, 33, 35, 34, 35, 35, 34, 33, 33, 35, 36, 37, 37, 
##     36, 35, 34, 34, 34, 34, 35, 35, 35, 34, 33, 33, 34, 35, 36, 
##     36, 36, 38, 39, 41, 43, 45, 45, 52, 51, 42, 41, 43, 46, 47, 
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##     46, 50, 47, 46, 45, 45, 50, 48, 44, 45, 43, 43, 39, 38, 41, 
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##     43, 43, 42, 42, 42, 43, 51, 47, 47, 46, 45, 43, 42, 41, 38, 
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##     34, 35, 34, 34, 32, 32, 32, 31, 32, 32, 30, 52, 50, 47, 42, 
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##     31, 40, 44, 43, 38, 34, 24, 20, 22, 19, 15, 13, 39, 38, 39, 
##     52, 53, 52, 53, 53, 53, 52, 52, 52, 51, 52, 51, 45, 37, 37, 
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##     11, 10, 11, 14, 17, 17, 18, 25, 26, 33, 39, 40, 46, 46, 49, 
##     50, 53, 57, 54, 52, 52, 52, 52, 51, 51, 51, 50, 50, 51, 50, 
##     52, 48, 48, 40, 35, 33, 36, 34, 31, 28, 25, 23, 19, 15, 13, 
##     13, 13, 9, 8, 13, 12, 9, 9, 11, 16, 17, 18, 18, 20, 20, 26, 
##     27, 37, 40, 35, 42, 41, 42, 42, 42, 14, 15, 14, 15, 15, 16, 
##     18, 18, 18, 19, 19, 20, 22, 27, 31, 35, 33, 32, 30, 29, 28, 
##     23, 23, 20, 16, 16, 15, 14, 13, 8, 9, 10, 12, 14, 15, 14, 
##     18, 18, 17, 15, 21, 25, 30, 29, 35, 38, 35, 40, 41, 40, 44, 
##     35, 36, 32, 30, 28, 25, 21, 24, 17, 14, 13, 11, 7, 6, 5, 
##     7, 10, 11, 11, 11, 12, 14, 14, 14, 15, 14, 16, 21, 24, 24, 
##     31, 38, 38, 40, 43, 44, 44, 45, 45, 38, 39, 31, 30, 28, 26, 
##     18, 17, 16, 10, 11, 11, 39, 36, 43, 42, 46, 45, 44, 46, 29, 
##     33, 23, 23, 26, 30, 34, 39, 44, 44, 42, 44, 41, 44, 45, 45, 
##     44, 42, 43, 39, 37, 30, 30, 31, 29, 28, 26, 17, 20, 17, 13, 
##     11, 11, 12, 12, 13, 15, 20, 25, 20, 21, 19, 16, 14, 14, 16, 
##     14, 15, 16, 18, 13, 15, 14, 13, 14, 18, 21, 22, 23, 23, 22, 
##     26, 30, 32, 35, 35, 37, 42, 42, 43, 42, 45, 45, 43, 43, 41, 
##     35, 43, 41, 42, 34, 34, 36, 31, 29, 31, 27, 24, 18, 16, 16, 
##     10, 10, 9, 13, 18, 18, 18, 20, 24, 27, 27, 36, 35, 33, 32, 
##     34, 33, 32, 32, 33, 33, 33, 30, 28, 27, 30, 30, 31, 31, 32, 
##     30, 31, 32, 31, 31, 31, 31, 31, 44, 39, 40, 37, 37, 41, 41, 
##     41, 40, 41, 38, 43, 41, 35, 29, 26, 40, 37, 40, 38, 40, 42, 
##     42, 41, 41, 41, 40, 39, 38, 37, 32, 25, 24, 30, 30, 31, 32, 
##     34, 37, 38, 38, 37, 32, 28, 25, 24, 26, 24, 24, 24, 24, 29, 
##     29, 33, 33, 36, 36, 38, 39, 39, 40, 40, 26, 27, 29, 27, 32, 
##     31, 36, 40, 37, 37, 36, 35, 35, 34, 37, 38, 40, 35, 35, 35, 
##     36, 36, 36, 40, 36, 37, 34, 32, 30, 27, 35, 36, 39, 41, 37, 
##     33, 33, 40, 37, 37, 38, 40, 36, 36, 35, 34, 37, 40, 40, 35, 
##     35, 36, 34, 37, 39, 37, 32, 33, 33, 29, 28, 22, 29, 27, 29, 
##     28, 31, 36, 46, 43, 29, 24, 24, 24, 23, 24, 23, 24, 25, 24, 
##     26, 28, 31, 35, 47, 46, 43, 40, 41, 41, 39, 39, 36, 36, 37, 
##     39, 38, 37, 36, 37, 38, 26, 27, 25, 25, 28, 31, 39, 37, 41, 
##     45, 46, 47, 41, 42, 39, 30, 26, 29, 33, 30, 27, 28, 28, 29, 
##     27, 30, 36, 43, 43, 46, 46, 45, 44, 42, 40, 33, 29, 26, 26, 
##     24, 42, 41, 38, 37, 37, 32, 27, 24, 35, 30, 28, 27, 28, 26, 
##     29, 28, 30, 28, 38, 41, 42, 43, 45, 45, 45, 44, 43, 43, 42, 
##     40, 24, 23, 24, 26, 27, 31, 33, 29, 28, 26, 29, 28, 27, 27, 
##     35, 38, 38, 39, 36, 36, 35, 35, 33, 32, 30, 30, 27, 24, 23, 
##     23, 28, 34, 32, 33, 36, 34, 35, 35, 35, 33, 34, 34, 34, 35, 
##     34, 34, 34, 37, 36, 37, 33, 32, 35, 35, 33, 34, 37, 34, 35, 
##     37, 36, 34, 34, 34, 33, 34, 34, 37, 38, 35, 44, 37, 38, 35, 
##     29, 29, 32, 32, 35, 36, 36, 36, 36, 30, 30, 33, 27, 25, 30, 
##     28, 28, 42, 38, 36, 34, 35, 36, 36, 37, 29, 30, 33, 29, 34, 
##     33, 31, 34, 37, 33, 34, 35, 36, 37, 39, 39, 37, 31, 27, 27, 
##     27, 32, 30, 30, 27, 29, 23, 31, 31, 36, 34, 32, 34, 37, 38, 
##     39, 38, 38, 37, 35, 33, 32, 29, 26, 27, 38, 37, 35, 31, 30, 
##     30, 31, 31, 26, 27, 28, 30, 32, 32, 29, 28, 26, 26, 36, 33, 
##     31, 33, 33, 33, 33, 33, 34, 35, 35, 39, 37, 37, 38, 37, 33, 
##     31, 30, 37, 38, 35, 34, 34, 35, 36, 31, 32, 30, 29, 29, 30, 
##     34, 30, 29, 29, 27, 26, 29, 27, 34, 29, 33, 41, 36, 31, 35, 
##     34, 34, 34, 39, 37, 37, 37, 36, 36, 29, 31, 33, 30, 30, 29, 
##     29, 26, 32, 37, 36, 36, 38, 36, 37, 38, 38, 33, 31, 29, 28, 
##     27, 29, 36, 33, 29, 27, 43, 43, 43, 41, 42, 47, 47, 49, 48, 
##     53, 54, 51, 34, 41, 42, 38, 40, 45, 44, 46, 51, 52, 49, 50, 
##     49, 47, 46, 46, 45, 42, 40, 40, 37, 34, 35, 33, 36, 34, 33, 
##     31, 36, 35, 32, 36, 38, 42, 42, 46, 47, 50, 50, 51, 49, 55, 
##     52, 50, 53, 50, 47, 42, 43, 43, 42, 36, 35, 34, 40, 37, 32, 
##     35, 34, 31, 31, 31, 32, 33, 34, 34, 36, 36, 35, 35, 35, 42, 
##     43, 44, 45, 47, 48, 50, 53, 52, 53, 51, 52, 51, 44, 44, 39, 
##     40, 42, 37, 35, 35, 33, 32, 31, 38, 35, 33, 37, 31, 35, 38, 
##     40, 40, 39, 41, 47, 48, 48, 48, 49, 52, 52, 52, 52, 51, 42, 
##     44, 42, 39, 33, 34, 32, 34, 36, 36, 35, 36, 36, 36, 36, 35, 
##     49, 49, 47, 43, 42, 31, 40, 36, 32, 32, 38, 39, 36, 32, 36, 
##     35, 33, 37, 36, 41, 43, 46, 47, 49, 52, 51, 50, 52, 50, 52, 
##     54, 54, 54, 51, 48, 50, 48, 49, 41, 45, 41, 42, 32, 29, 27, 
##     29, 26, 27, 29, 32, 31, 34, 36, 37, 39, 40, 41, 40, 39, 36, 
##     39, 39, 40, 39, 41, 41, 41, 42, 32, 32, 27, 23, 23, 22, 24, 
##     25, 25, 31, 34, 38, 36, 37, 36, 36, 37, 38, 38, 37, 38, 35, 
##     36, 35, 35, 35, 35, 35, 35, 36, 37, 37, 23, 34, 44, 41, 41, 
##     49, 46, 42, 39, 39, 39, 44, 47, 47, 45, 41, 34, 30, 27, 25, 
##     25, 22, 21, 33, 34, 31, 25, 27, 32, 33, 42, 41, 41, 45, 42, 
##     43, 42, 47, 38, 39, 44, 45, 46, 46, 46, 48, 47, 44, 34, 31, 
##     28, 26, 25, 24, 23, 38, 42, 31, 29, 22, 25, 43, 43, 41, 47, 
##     48, 39, 38, 39, 44, 48, 48, 49, 46, 44, 38, 33, 30, 25, 24, 
##     24, 28, 26, 22, 23, 26, 37, 37, 42, 41, 42, 42, 41, 36, 37, 
##     38, 41, 43, 44, 39, 36, 32, 29, 25, 27, 40, 38, 31, 28, 23, 
##     27, 29, 33, 40, 41, 44, 45, 45, 42, 39, 36, 39, 40, 45, 47, 
##     43, 39, 36, 30, 29, 23, 22, 21, 23, 24, 25, 28, 31, 37, 27, 
##     26, 26, 21, 19, 20, 22, 27, 29, 31, 40, 40, 39, 48, 43, 40, 
##     41, 41, 43, 43, 46, 48, 47, 47, 47, 43, 41, 37, 28, 23, 24, 
##     22, 22, 27, 29, 39, 28, 27, 26, 25, 24, 23, 21, 22, 28, 36, 
##     35, 37, 39, 40, 46, 45, 38, 37, 42, 44, 46, 23, 22, 25, 33, 
##     36, 37, 37, 35, 38, 38, 41, 23, 24, 27, 36, 41, 41, 42, 44, 
##     47, 49, 46, 45, 32, 26, 28, 28, 25, 26, 25, 25, 23, 26, 27, 
##     27, 27, 28, 34, 37, 36, 43, 42, 41, 44, 43, 43, 42, 38, 38, 
##     37, 36, 38, 36, 37, 36, 37, 36, 37, 38, 37, 38, 37, 38, 37, 
##     38, 38, 38, 39, 39, 37, 33, 31, 30, 30, 27, 27, 28, 28, 28, 
##     28, 29, 31, 30, 31, 29, 27, 28, 29, 32, 39, 44, 45, 44, 41, 
##     41, 41, 40, 38, 34, 33, 27, 24, 23, 25, 23, 31, 32, 31, 27, 
##     29, 27, 28, 29, 29, 32, 29, 32, 44, 42, 42, 42, 43, 41, 38, 
##     38, 37, 36, 36, 36, 29, 28, 29, 30, 29, 28, 28, 25, 27, 36, 
##     44, 44, 46, 46, 45, 46, 47, 43, 42, 42, 38, 31, 31, 31, 29, 
##     24, 24, 28, 29, 30, 27, 28, 27, 27, 33, 30, 27, 20, 20, 22, 
##     23, 24, 28, 33, 33, 32, 28, 25, 30, 28, 30, 35, 43, 43, 43, 
##     44, 45, 43, 41, 37, 35, 29, 26, 28, 28, 33, 39, 44, 25, 31, 
##     36, 34, 31, 28, 28, 27, 36, 42, 44, 36, 37, 39, 37, 37, 33, 
##     27, 21, 23, 31, 32, 32, 32, 30, 23, 32, 33, 32, 46, 41, 31, 
##     36, 38, 42, 39, 27, 25, 25, 28, 35, 40, 25, 33, 27, 24, 31, 
##     40, 43, 34, 41, 37, 34, 35, 35, 38, 38, 37, 42, 29, 29, 32, 
##     27, 27, 27, 28, 27, 30, 39, 37, 32, 31, 34, 33, 28, 35, 38, 
##     30, 29, 31, 25, 40, 32, 34, 40, 40, 42, 38, 42, 39, 37, 35, 
##     24, 39, 40, 32, 33, 27, 25, 22, 33, 35, 35, 38, 39, 27, 28, 
##     28, 31, 34, 35, 38, 38, 38, 32, 28, 27, 32, 35, 36, 38, 38, 
##     37, 32, 29, 31, 27, 32, 30, 34, 34, 33, 26, 26, 28, 32, 31, 
##     37, 39, 42, 40, 40, 40, 37, 24, 23, 32, 34, 33, 33, 33, 34, 
##     33, 33, 33, 33, 34, 33, 32, 33, 34, 32, 33, 33, 33, 33, 33, 
##     32, 32, 32, 33, 33, 32, 34, 32, 32, 32, 33, 32, 32, 33, 33, 
##     33, 32, 31, 32, 32, 33, 32, 32, 33, 33, 32, 33, 33, 33, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 35, 35, 
##     36, 37, 37, 37, 37, 36, 36, 34, 30, 32, 32, 33, 34, 34, 33, 
##     34, 34, 34, 32, 33, 34, 34, 34, 32, 33, 34, 33, 32, 32, 41, 
##     42, 43, 44, 48, 49, 50, 49, 45, 45, 40, 48, 44, 45, 42, 46, 
##     46, 50, 51, 46, 41, 41, 40, 38, 43, 45, 47, 48, 46, 44, 45, 
##     44, 43, 45, 47, 47, 46, 46, 45, 45, 43, 48, 47, 49, 49, 47, 
##     45, 44, 41, 45, 44, 43, 43, 41, 40, 40, 43, 47, 47, 43, 47, 
##     48, 45, 47, 47, 46, 46, 45, 43, 42, 41, 39, 39, 41, 36, 33, 
##     42, 46, 45, 44, 47, 47, 41, 40, 45, 44, 40, 40, 42, 46, 47, 
##     48, 49, 49, 48, 49, 49, 48, 48, 48, 47, 45, 48, 48, 50, 38, 
##     38, 39, 38, 39, 39, 39, 40, 40, 40, 45, 53, 53, 50, 51, 51, 
##     50, 51, 50, 52, 54, 55, 53, 54, 56, 41, 41, 41, 40, 40, 40, 
##     40, 41, 40, 40, 41, 47, 49, 49, 54, 55, 50, 50, 51, 54, 57, 
##     45, 47, 51, 44, 41, 42, 42, 41, 43, 42, 45, 46, 44, 43, 43, 
##     44, 46, 48, 49, 48, 54, 54, 53, 53, 52, 55, 48, 48, 53, 56, 
##     53, 45, 44, 45, 44, 43, 42, 53, 52, 50, 43, 44, 43, 42, 41, 
##     40, 40, 42, 44, 46, 45, 43, 42, 44, 44, 45, 48, 47, 57, 63, 
##     62, 52, 48, 45, 45, 39, 37, 39, 33, 33, 33, 34, 34, 33, 33, 
##     32, 32, 33, 34, 37, 38, 47, 46, 49, 48, 47, 48, 47, 45, 43, 
##     44, 43, 42, 44, 45, 45, 44, 43, 44, 38, 38, 35, 35, 35, 40, 
##     38, 47, 47, 48, 50, 47, 45, 45, 37, 41, 41, 41, 42, 43, 46, 
##     48, 42, 40, 42, 46, 46, 45, 44, 44, 43, 43, 42, 41, 40, 40, 
##     41, 39, 39, 39, 38, 38, 38, 37, 35, 43, 44, 45, 16, 16, 21, 
##     26, 34, 36, 36, 42, 43, 46, 43, 43, 40, 38, 39, 14, 15, 16, 
##     20, 18, 17, 16, 17, 18, 24, 25, 25, 25, 27, 27, 29, 41, 40, 
##     44, 43, 45, 38, 35, 35, 31, 26, 23, 22, 25, 21, 21, 18, 15, 
##     12, 13, 11, 10, 8, 8, 8, 9, 12, 13, 14, 16, 17, 28, 28, 26, 
##     23, 23, 28, 30, 33, 35, 39, 41, 42, 43, 44, 43, 44, 43, 42, 
##     41, 41, 40, 39, 38, 13, 13, 13, 13, 16, 15, 16, 25, 25, 23, 
##     21, 19, 22, 23, 26, 28, 31, 35, 38, 38, 44, 44, 21, 19, 20, 
##     19, 21, 21, 28, 24, 20, 20, 20, 23, 27, 27, 37, 36, 38, 36, 
##     37, 38, 36, 43, 45, 46, 51, 51, 50, 53, 54, 52, 52, 51, 52, 
##     43, 44, 47, 50, 50, 51, 51, 50, 53, 52, 52, 54, 52, 52, 52, 
##     51, 51, 51, 51, 48, 47, 42, 41, 37, 40, 36, 34, 36, 40, 51, 
##     50, 52, 49, 46, 42, 39, 39, 38, 37, 37, 36, 35, 33, 34, 38, 
##     39, 36, 35, 34, 42, 43, 45, 42, 42, 43, 40, 39, 25, 38, 26, 
##     31, 31, 24, 20, 19, 20, 19, 13, 8, 9, 10, 13, 14, 14, 36, 
##     35, 33, 30, 31, 28, 29, 27, 23, 22, 20, 22, 18, 16, 16, 14, 
##     37, 37, 35, 33, 33, 32, 33, 33, 33, 33, 33, 29, 27, 27, 27, 
##     36, 35, 32, 31, 30, 38, 44, 40, 37, 34, 32, 28, 36, 35, 36, 
##     37, 32, 32, 33, 26, 28, 27, 24, 25, 33, 39, 39, 36, 36, 34, 
##     34, 32, 31, 30, 36, 35, 37, 44, 41, 38, 35, 22, 22, 40, 38, 
##     34, 24, 30, 40, 40, 49, 47, 45, 40, 39, 38, 39, 39, 40, 42, 
##     44, 47, 49, 48, 46, 43, 46, 47, 44, 40, 39, 37, 30, 27, 25, 
##     23, 22, 24, 35, 33, 30, 29, 26, 24, 29, 35, 36, 37, 40, 42, 
##     44, 46, 48, 43, 40, 38, 37, 39, 42, 38, 37, 35, 34, 33, 31, 
##     25, 23, 32, 31, 24, 24, 23, 23, 29, 28, 34, 38, 30, 32, 33, 
##     25, 26, 31, 28, 32, 41, 39, 35, 30, 29, 26, 25, 29, 30, 31, 
##     38, 39, 37, 38, 39, 36, 35, 35, 36, 33, 30, 33, 39, 29, 26, 
##     25, 25, 26, 27, 32, 28, 29, 29, 30, 28, 29, 31, 36, 23, 24, 
##     29, 30, 30, 31, 33, 32, 27, 27, 28, 28, 30, 30, 30, 44, 44, 
##     26, 26, 27, 28, 27, 32, 31, 31, 35, 46, 43, 40, 37, 34, 33, 
##     33, 34, 37, 42, 38, 37, 35, 35, 35, 35, 36, 38, 40, 41, 31, 
##     31, 31, 35, 35, 35, 34, 34, 36, 35, 35, 31, 32, 34, 33, 32, 
##     33, 28, 28, 29, 33, 38, 37, 36, 37, 38, 38, 43, 44, 52, 50, 
##     47, 49, 44, 41, 46, 43, 48, 54, 53, 55, 56, 54, 49, 47, 42, 
##     37, 33, 26, 28, 30, 32, 31, 34, 34, 32, 33, 33, 32, 33, 34, 
##     32, 32, 36, 39, 37, 38, 44, 42, 47, 50, 45, 45, 46, 51, 51, 
##     51, 52, 54, 55, 52, 45, 41, 41, 40, 39, 37, 37, 37, 34, 33, 
##     31, 28, 27, 29, 31, 34, 32, 31, 30, 30, 28, 30, 29, 30, 28, 
##     29, 44, 51, 52, 51, 50, 55, 34, 33, 35, 41, 45, 42, 40, 39, 
##     39, 40, 37, 37, 37, 37, 36, 37, 36, 37, 38, 36, 36, 37, 37, 
##     37, 36, 39, 37, 36, 37, 37, 40, 44, 46, 45, 37, 37, 28, 29, 
##     27, 23, 25, 27, 28, 31, 37, 40, 45, 35, 36, 37, 37, 34, 31, 
##     28, 27, 23, 30, 35, 43, 47, 46, 42, 42, 42, 45, 50, 49, 45, 
##     38, 29, 27, 23, 23, 24, 24, 29, 49, 37, 35, 37, 38, 37, 33, 
##     31, 23, 23, 23, 30, 29, 38, 40, 46, 45, 43, 45, 47, 45, 30, 
##     29, 37, 47, 50, 47, 45, 51, 21, 39, 41, 32, 32, 31, 27, 26, 
##     25, 27, 27, 36, 34, 38, 39, 37, 39, 41, 40, 43, 42, 41, 40, 
##     33, 27, 24, 26, 31, 46, 51, 44, 37, 33, 33, 33, 29, 26, 25, 
##     23, 23, 24, 30, 35, 44, 40, 39, 36, 35, 34, 32, 30, 23, 23, 
##     26, 31, 32, 39, 42, 44, 43, 44, 45, 48, 42, 22, 23, 32, 41, 
##     38, 31, 29, 24, 24, 43, 46, 45, 47, 47, 51, 52, 51, 40, 40, 
##     32, 28, 25, 38, 42, 46, 35, 33, 28, 24, 23, 20, 20, 25, 28, 
##     30, 33, 40, 38, 39, 41, 42, 46, 47, 44, 39, 38, 36, 36, 31, 
##     25, 24, 25, 30, 48, 45, 41, 35, 33, 33, 32, 29, 26, 26, 25, 
##     23, 23, 24, 33, 41, 41, 44, 45, 48, 47, 45, 38, 37, 36, 35, 
##     35, 35, 37, 36, 36, 37, 37, 38, 37, 38, 38, 39, 38, 37, 38, 
##     37, 37, 36, 35, 33, 35, 35, 34, 35, 33, 33, 33, 35, 36, 36, 
##     35, 35, 36, 40, 33, 34, 38, 37, 37, 39, 39, 38, 39, 39, 36, 
##     29, 27, 31, 30, 29, 22, 24, 39, 37, 40, 35, 27, 30, 33, 27, 
##     31, 33, 33, 39, 39, 35, 34, 35, 35, 39, 40, 43, 48, 49, 47, 
##     53, 44, 42, 31, 30, 57, 38, 34, 35, 32, 26, 24, 39, 39, 39, 
##     44, 52, 42, 41, 39, 39, 42, 43, 45, 33, 27, 30, 24, 30, 48, 
##     78, 37, 32, 25, 32, 39, 37, 36, 35, 34, 38, 36, 36, 35, 38, 
##     38, 41, 36, 36, 41, 41, 41, 41, 41, 46, 48, 47, 49, 52, 54, 
##     51, 50, 52, 46, 47, 43, 47, 42, 30, 42, 41, 42, 36, 34, 32, 
##     31, 31, 38, 38, 37, 34, 35, 36, 49, 51, 50, 52, 51, 54, 54, 
##     55, 53, 52, 52, 49, 48, 49, 46, 47, 52, 48, 42, 47, 40, 35, 
##     31, 27, 29, 22, 17, 16, 15, 12, 11, 16, 13, 12, 10, 9, 8, 
##     8, 9, 10, 9, 8, 8, 8, 7, 7, 11, 21, 23, 23, 22, 18, 19, 21, 
##     23, 23, 24, 21, 21, 33, 41, 44, 48, 57, 57, 57, 54, 53, 54, 
##     51, 50, 45, 42, 42, 36, 32, 29, 21, 20, 18, 16, 14, 11, 10, 
##     13, 13, 17, 18, 20, 23, 25, 30, 20, 21, 34, 34, 44, 40, 45, 
##     49, 54, 55, 53, 53, 51, 49, 49, 43, 38, 29, 22, 18, 18, 17, 
##     17, 16, 19, 20, 20, 20, 24, 26, 28, 31, 37, 42, 42, 49, 54, 
##     52, 52, 51, 51, 47, 45, 40, 37, 35, 33, 29, 18, 20, 19, 20, 
##     21, 17, 20, 20, 19, 22, 24, 23, 24, 27, 37, 37, 44, 48, 45, 
##     50, 55, 53, 55, 54, 52, 51, 48, 46, 42, 42, 47, 40, 35, 30, 
##     25, 28, 19, 19, 20, 19, 17, 16, 17, 17, 18, 19, 23, 34, 35, 
##     34, 35, 26, 27, 34, 38, 41, 46, 48, 49, 51, 57, 57, 57, 56, 
##     54, 54, 53, 55, 54, 52, 51, 52, 52, 49, 47, 12, 16, 18, 19, 
##     21, 22, 16, 23, 25, 26, 29, 36, 43, 47, 47, 48, 50, 57, 59, 
##     60, 57, 51, 51, 51, 51, 48, 46, 37, 34, 34, 30, 26, 24, 22, 
##     21, 24, 25, 23, 22, 20, 19, 20, 24, 24, 23, 22, 23, 26, 24, 
##     23, 26, 37, 42, 45, 43, 46, 47, 49, 54, 55, 55, 53, 53, 51, 
##     52, 49, 47, 40, 27, 25, 23, 23, 23, 21, 17, 16, 16, 17, 21, 
##     25, 25, 24, 21, 22, 24, 30, 25, 37, 39, 40, 51, 53, 51, 58, 
##     58, 58, 55, 54, 54, 52, 49, 49, 48, 47, 44, 42, 32, 31, 36, 
##     37, 16, 21, 20, 13, 16, 19, 20, 19, 20, 23, 23, 22, 22, 28, 
##     30, 40, 41, 46, 45, 54, 57, 51, 52, 51, 49, 49, 50, 36, 30, 
##     32, 32, 26, 24, 16, 17, 19, 20, 43, 40, 36, 37, 39, 36, 36, 
##     35, 35, 34, 33, 33, 34, 35, 35, 35, 34, 35, 35, 35, 37, 36, 
##     36, 39, 38, 39, 43, 43, 44, 32, 31, 24, 27, 30, 34, 28, 27, 
##     26, 27, 33, 34, 43, 41, 38, 35, 25, 23, 26, 30, 36, 23, 24, 
##     30, 37, 26, 26, 26, 27, 29, 38, 40, 43, 44, 42, 41, 33, 32, 
##     29, 27, 26, 23, 23, 22, 23, 28, 37, 40, 31, 24, 25, 26, 34, 
##     39, 39, 40, 41, 43, 43, 36, 36, 23, 23, 28, 37, 29, 28, 28, 
##     27, 25, 25, 24, 24, 31, 36, 38, 39, 42, 43, 44, 47, 47, 44, 
##     44, 32, 27, 26, 23, 39, 27, 25, 24, 24, 28, 27, 28, 34, 33, 
##     36, 41, 41, 46, 48, 47, 47, 42, 34, 28, 27, 24, 22, 21, 21, 
##     21, 29, 38, 33, 31, 26, 24, 25, 25, 28, 28, 31, 34, 43, 42, 
##     45, 47, 37, 35, 44, 47, 46, 46, 45, 43, 42, 38, 31, 23, 22, 
##     22, 23, 24, 32, 30, 25, 25, 25, 24, 24, 27, 35, 36, 38, 42, 
##     43, 45, 46, 48, 48, 48, 46, 46, 45, 44, 42, 34, 32, 22, 23, 
##     35, 31, 27, 25, 25, 25, 30, 33, 32, 33, 33, 35, 41, 41, 42, 
##     40, 39, 39, 37, 36, 37, 34, 36, 36, 38, 36, 36, 37, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     37, 34, 36, 34, 38, 35, 34, 32, 30, 33, 33, 33, 32, 33, 33, 
##     33, 33, 32, 32, 33, 33, 33, 33, 30, 29, 30, 31, 32, 32, 32, 
##     32, 31, 35, 43, 44, 48, 50, 49, 45, 28, 23, 49, 23, 20, 30, 
##     34, 42, 46, 60, 44, 41, 40, 53, 52, 54, 49, 50, 49, 33, 29, 
##     23, 27, 32, 39, 49, 57, 45, 39, 32, 30, 35, 45, 48, 47, 39, 
##     37, 45, 53, 42, 32, 32, 32, 34, 45, 37, 23, 21, 20, 29, 28, 
##     28, 30, 28, 33, 62, 54, 43, 28, 29, 43, 47, 47, 49, 50, 51, 
##     41, 38, 30, 26, 23, 26, 41, 36, 36, 32, 21, 27, 24, 37, 39, 
##     33, 46, 36, 48, 50, 47, 23, 26, 27, 30, 33, 38, 41, 37, 22, 
##     19, 27, 28, 35, 34, 48, 44, 37, 40, 44, 45, 44, 42, 42, 39, 
##     35, 27, 22, 22, 25, 27, 27, 30, 33, 35, 36, 38, 37, 28, 26, 
##     24, 20, 26, 36, 49, 38, 38, 38, 37, 27, 24, 26, 45, 48, 46, 
##     27, 29, 21, 38, 36, 33, 54, 44, 39, 42, 30, 43, 37, 37, 35, 
##     41, 45, 45, 46, 45, 40, 38, 35, 25, 22, 36, 43, 46, 41, 28, 
##     23, 25, 26, 41, 38, 45, 45, 57, 31, 35, 39, 44, 37, 35, 34, 
##     36, 29, 30, 30, 30, 31, 31, 31, 31, 30, 31, 30, 32, 31, 30, 
##     31, 31, 31, 31, 31, 29, 30, 31, 30, 31, 30, 31, 30, 30, 31, 
##     31, 53, 54, 54, 55, 55, 51, 44, 42, 42, 41, 41, 43, 45, 45, 
##     46, 46, 43, 42, 43, 41, 42, 44, 45, 47, 49, 52, 52, 54, 54, 
##     54, 49, 49, 49, 50, 51, 51, 52, 53, 55, 56, 55, 56, 55, 53, 
##     48, 44, 42, 37, 38, 39, 42, 42, 41, 43, 40, 41, 43, 44, 45, 
##     47, 50, 51, 53, 52, 52, 51, 51, 51, 52, 53, 54, 45, 47, 46, 
##     48, 49, 54, 57, 60, 58, 49, 38, 41, 42, 43, 42, 44, 42, 47, 
##     48, 48, 49, 49, 52, 49, 48, 49, 50, 50, 47, 48, 48, 53, 55, 
##     57, 58, 59, 58, 56, 53, 52, 51, 49, 49, 48, 40, 38, 38, 39, 
##     43, 42, 41, 42, 42, 41, 42, 42, 40, 41, 42, 46, 55, 52, 48, 
##     54, 54, 51, 50, 50, 49, 49, 48, 52, 52, 56, 58, 53, 52, 37, 
##     41, 45, 50, 53, 48, 53, 55, 54, 48, 48, 49, 51, 50, 50, 50, 
##     53, 53, 52, 47, 38, 38, 37, 42, 43, 41, 42, 42, 42, 42, 42, 
##     42, 42, 38, 35, 35, 38, 40, 41, 46, 48, 49, 51, 53, 53, 52, 
##     41, 40, 40, 40, 33, 32, 32, 31, 32, 33, 33, 32, 32, 34, 35, 
##     34, 34, 33, 33, 33, 34, 35, 36, 36, 35, 36, 37, 36, 36, 35, 
##     36, 38, 35, 35, 36, 35, 36, 36, 37, 37, 36, 36, 36, 39, 42, 
##     50, 57, 55, 46, 40, 35, 32, 23, 23, 22, 24, 28, 26, 27, 25, 
##     26, 26, 27, 28, 28, 28, 28, 48, 37, 36, 38, 47, 56, 51, 47, 
##     29, 31, 33, 37, 37, 38, 36, 40, 43, 50, 50, 37, 37, 37, 37, 
##     37, 37, 36, 36, 36, 36, 35, 34, 34, 33, 33, 33, 49, 48, 46, 
##     46, 47, 40, 39, 41, 41, 38, 39, 40, 39, 36, 27, 49, 33, 28, 
##     26, 22, 32, 24, 29, 32, 36, 38, 35, 38, 37, 44, 33, 43, 41, 
##     38, 39, 38, 41, 44, 43, 43, 43, 42, 38, 35, 23, 22, 23, 23, 
##     24, 26, 36, 51, 44, 39, 33, 38, 45, 39, 36, 38, 42, 38, 37, 
##     38, 40, 47, 48, 45, 38, 39, 39, 34, 29, 48, 33, 32, 27, 25, 
##     17, 33, 48, 46, 44, 38, 40, 44, 39, 37, 38, 38, 42, 38, 40, 
##     44, 42, 41, 36, 43, 42, 46, 47, 48, 48, 40, 53, 42, 42, 44, 
##     47, 40, 34, 37, 38, 39, 39, 38, 41, 41, 39, 42, 48, 50, 50, 
##     51, 24, 26, 33, 55, 59, 39, 33, 30, 24, 37, 50, 42, 37, 32, 
##     44, 44, 44, 39, 39, 36, 34, 32, 35, 34, 31, 32, 29, 31, 33, 
##     35, 31, 31, 32, 33, 32, 34, 32, 31, 30, 30, 31, 31, 31, 30, 
##     30, 31, 31, 31, 30, 30, 29, 29, 29, 30, 29, 30, 31, 30, 30, 
##     31, 31, 29, 30, 30, 30, 32, 31, 47, 44, 42, 41, 28, 27, 26, 
##     23, 18, 16, 15, 15, 16, 20, 19, 16, 12, 29, 30, 31, 31, 30, 
##     30, 31, 30, 31, 31, 30, 31, 30, 30, 30, 31, 30, 40, 44, 43, 
##     45, 45, 47, 47, 23, 23, 23, 31, 34, 41, 48, 43, 48, 47, 45, 
##     39, 36, 36, 27, 25, 24, 23, 26, 29, 42, 33, 29, 21, 29, 33, 
##     33, 33, 35, 36, 35, 36, 33, 33, 33, 33, 33, 33, 33, 31, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 32, 29, 
##     21, 39, 24, 24, 26, 25, 33, 37, 38, 39, 41, 42, 42, 41, 41, 
##     28, 27, 24, 25, 25, 26, 26, 29, 32, 35, 40, 37, 53, 49, 41, 
##     44, 41, 42, 42, 45, 46, 45, 40, 35, 29, 27, 25, 28, 41, 61, 
##     55, 38, 31, 30, 30, 26, 26, 23, 30, 54, 32, 27, 25, 26, 30, 
##     43, 46, 46, 47, 35, 28, 27, 26, 24, 57, 52, 34, 32, 26, 29, 
##     35, 40, 41, 41, 30, 28, 25, 52, 46, 38, 36, 32, 18, 37, 40, 
##     39, 44, 40, 37, 38, 35, 37, 39, 39, 41, 42, 40, 46, 46, 46, 
##     45, 46, 47, 50, 39, 32, 29, 23, 24, 22, 28, 29, 37, 47, 46, 
##     40, 38, 27, 24, 24, 29, 28, 36, 23, 34, 39, 44, 50, 49, 48, 
##     46, 47, 50, 49, 46, 43, 40, 28, 43, 42, 46, 47, 47, 47, 38, 
##     33, 22, 22, 29, 32, 35, 40, 49, 49, 44, 38, 34, 33, 33, 33, 
##     39, 52, 52, 48, 47, 44, 42, 39, 37, 36, 34, 32, 25, 27, 29, 
##     29, 32, 33), gyros_forearm_x = c(0.03, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.05, 
##     0.03, 0.03, 0.02, 0, 0, 0, 0, -0.02, 0, 0.03, 0.03, 0.02, 
##     0.02, 0.03, 0.03, 0, 0.02, 0, 0, 0, -0.02, 0.02, 0.02, 0.03, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.05, 0.06, 0.06, 0.05, 
##     0.03, 0.05, 0.05, 0.05, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 
##     0, 0.02, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.03, 0, 0, -0.02, -0.03, 0, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0.03, 0, 0.02, 
##     0.03, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.1, 0.08, 0.02, 
##     0.1, 0.08, 0.08, 0.08, 0.1, 0.1, 0.11, 0.08, 0.16, 0.16, 
##     0.22, 0.06, 0.06, 0.1, 0.11, 0.13, 0.14, 0.14, 0.14, 0.16, 
##     0.18, 0.16, 0.14, 0.11, 0.14, 0.18, 0.21, 0.21, 0.19, 0.11, 
##     0.06, -0.02, 0.24, 0.31, 0.29, 0.06, 0.21, 0.21, 0.18, 0.19, 
##     0.24, 0.18, 0.13, 0.11, 0.13, 0.14, -0.14, -0.11, 0.03, -0.18, 
##     -0.37, -0.31, -0.19, -0.32, -0.29, 0.43, 0.63, 0.67, 0.63, 
##     0.4, 0.32, 0.03, -0.03, -0.02, 0.11, 0.21, 0.08, 0.05, 0.06, 
##     0.14, 0.11, 0.1, 0.06, 0.03, 0, 0.48, 0.16, -0.03, 0.1, 0.26, 
##     0, 0.08, 0.29, 0.26, 0.21, 0.08, 0.06, 0.08, 0.14, 0.18, 
##     0.22, 0.26, 0.26, -0.03, -0.02, 0.29, 0.13, 0.06, 0.08, 0.06, 
##     0.06, 0, 0.06, 0.34, 0.39, 0.31, 0.21, 0.05, -0.06, 0, 0.08, 
##     0.08, 0.11, 0.13, 0.13, 0.14, 0.13, 0.11, 0.14, 0.16, 0.14, 
##     0.13, 0.13, 0.1, 0.1, 0.13, 0.39, 0.4, 0.51, 0.51, 0.32, 
##     0.47, 0.51, 0.14, -0.29, -0.31, -0.45, -0.56, -0.4, -0.5, 
##     -0.22, -0.35, -0.32, -0.61, -0.39, 0.42, 0.45, 0.48, 0.32, 
##     0.26, 0.45, 0.51, 0.45, 0.51, 0.58, 0.61, 0.61, 0.5, 0.5, 
##     0.5, 0.39, 0.5, 0.51, 0.55, 0.64, 0.72, 0.82, 0.66, -0.34, 
##     -0.31, -0.53, -0.58, -0.11, -0.27, -0.55, -0.47, -0.53, -0.31, 
##     -0.21, -0.16, -0.16, 0.39, 0.4, 0.42, 0.47, 0.47, 0.43, 0.47, 
##     0.47, 0.42, 0.51, 0.56, 0.56, 0.26, 0.43, 0.45, -0.45, -0.42, 
##     -0.34, -0.26, -0.18, -0.13, -0.16, -0.32, -0.16, -0.18, 0.43, 
##     0.43, 0.42, 0.39, 0.58, 0.45, 0.21, 0.16, 1.11, 1.04, 0.64, 
##     0.5, 0.47, 0.64, 0.43, 0.71, 0.59, -0.02, -0.02, 0.08, 0.08, 
##     -0.24, -0.55, -0.64, -0.71, -0.79, -0.77, -0.5, -0.61, -0.5, 
##     -0.58, -0.18, -0.16, -0.27, -0.27, -0.18, -0.19, -0.16, 0.08, 
##     -0.11, -0.29, -0.27, -0.05, 0.14, 0.26, 0.37, 0.53, 0.8, 
##     0.47, 0.58, 0.48, 0.67, 0.74, 0.74, -0.14, -0.34, 0.26, 0.32, 
##     0.47, 0.64, 0.59, 0.56, 0.69, 0.51, 0.43, 0.74, 0.87, 0.74, 
##     0.66, 0.56, 0.39, 0.4, 0.43, 0.58, 0.16, 0.22, 0.29, 0.18, 
##     0.47, 0.56, 0.5, 0.64, 0.56, -0.77, -0.51, -0.48, -0.11, 
##     -0.27, 0.29, 0.34, 0.31, 0.24, 0.24, -0.55, -0.5, -0.63, 
##     -0.75, -0.42, 0.06, -0.43, 0.14, 0.5, -0.47, -0.29, -0.02, 
##     0.11, -0.4, 0.05, -0.92, -0.8, -0.05, 0.42, 0.87, 1.3, 1.36, 
##     1.64, 1.99, 2.14, 2.17, 2.14, 1.98, 1.54, 1.33, 1.12, 0.34, 
##     0.24, 0.29, 0.22, 0.22, 0.48, 0.71, 2.34, 3.1, 1.7, 0.77, 
##     0.4, -0.34, 0.31, 1.03, 2.04, 2.28, 1.64, 1.17, 0.06, -0.32, 
##     -0.16, 0.08, 0.4, 2.47, 2.41, 1.57, 1.19, 1, 0.16, 0.32, 
##     0.34, 0.4, 1.27, 1.35, 1.51, 1.67, 1.8, 1.77, 0.69, 0.26, 
##     0.21, 0.51, 0.93, 1.94, 1.93, 1.83, 1.69, 1.49, 0.34, 0.05, 
##     -0.24, 0.03, 0.63, 1.24, 1.38, 1.83, 0.4, 0.34, 0.35, 0.82, 
##     1.24, 1.48, 1.51, 1.48, 0.74, 0.48, 0.35, 1.72, 1.35, 1.11, 
##     0.88, 0.63, 0.64, 1.33, 1.19, 0.92, 1.11, 1.06, 1.06, 1.51, 
##     1.32, 1.11, 1.01, 0.66, 0.69, 0.79, 1.09, 1.43, 0.53, 0.24, 
##     0.64, 1.94, 2.02, 0.18, 0.08, 0.11, 0.16, 0.24, 0.39, 0.74, 
##     1.28, 1.67, 1.88, 1.77, 1.75, 0.98, 0.56, 0.72, 0.8, 0.47, 
##     0.83, 0.8, 1.12, 1.45, 1.53, 0.71, -0.42, -0.55, -0.47, -0.71, 
##     -0.11, -0.27, -0.45, -0.21, 0, 0.22, 0.19, 0.51, 0.83, 0.56, 
##     1.12, 0.71, 1.12, 1.22, 1.17, -2.87, -1.3, -2.28, 1.03, 1.57, 
##     1.33, 1.67, -0.88, 2.14, 0.61, 1.09, -0.11, 0.71, 0.61, 0.83, 
##     0.98, 0.67, 0.9, -1.2, -2.97, -2.02, -1.03, -0.74, -0.43, 
##     0.85, 3.48, 3.26, 2.75, 0.88, 0.82, 1.01, 1.14, 0.67, 0.34, 
##     0.53, 0.67, 0.93, 1.35, 0.75, 0.75, 1.41, 1.19, 1.09, 2.14, 
##     3.02, 1.35, 0.96, 1.73, 1.06, 1.12, 1.35, 1.35, 1.16, 0.92, 
##     0.95, 1.03, 1.04, 0.24, 0.42, 0.34, 1.27, 1.17, 1.12, 0.98, 
##     1.14, 0.98, 1, 1.01, 1.03, 1.04, 0.92, 0.74, 1.01, 0.31, 
##     0.58, 1.32, 0.72, 1.01, 1.11, 0.98, 0.9, 1.06, 1.11, 1.2, 
##     1.14, 1.12, 1.09, 1.04, 1.12, 1.08, 1.08, 1, 0.92, 0.93, 
##     0.95, 0.96, 1.09, 0.95, 0.83, 0.9, 1.04, 1.25, 1.46, 1.72, 
##     1.72, 1.27, 1.19, 1.17, 1.03, 0.96, 0.61, 0.58, 0.83, 0.87, 
##     1.01, 0.98, 0.98, 0.75, 0.88, 1.03, 1.16, 1.19, 1.24, 1.45, 
##     1.51, 1.65, 1.22, 1.04, 0.98, 1.01, 0.9, 0.85, 0.79, 0.8, 
##     0.95, 0.87, 0.85, 0.93, 1.24, 1.28, 1.33, 1.24, 1.3, 1.14, 
##     1.2, 1.45, 1.38, 1.19, 0.8, 0.87, 0.9, 0.92, 0.93, 0.87, 
##     0.95, 0.96, 1.06, 0.87, 0.95, 0.74, 0.66, 0.83, 0.95, 0.83, 
##     0.71, 0.71, 0.75, 0.5, 0.51, 0.79, 0.74, 0.82, 0.77, 0.88, 
##     1.03, 1, 0.98, 0.93, 0.95, 0.96, 1.01, 1.08, 1.04, 1.09, 
##     1.16, 1.24, 1.38, 1.64, 1.62, 1.67, 1.14, 1, 0.85, 0.74, 
##     0.8, 1, 0.85, 0.85, 0.82, 0.87, 0.85, 0.72, 0.58, 0.63, 0.95, 
##     1.01, 0.85, 0.67, 0.79, 1.06, 1, 1.03, 1.08, 1.11, 0.93, 
##     0.9, 1.03, 1.06, 1.38, 1.14, 1.16, 1.08, 0.98, 0.96, 1.04, 
##     1.04, 1.06, 1.03, 1.04, 0.96, 0.96, 1.01, 1.04, 0.96, 0.9, 
##     0.87, 0.83, 0.71, 1.01, 0.95, 0.67, 0.4, 0.32, 0.56, 0.71, 
##     0.14, 0.58, 0.87, 0.64, 0.72, 1.08, 1.14, 0.63, 0.66, 0.88, 
##     1.12, 1.03, 0.96, 0.93, 0.96, 1.01, 0.96, 1.06, 1.08, 1.11, 
##     1.22, 1.36, 1.45, 1.38, 1.41, 1.54, 1.54, 1.53, 1.56, 1.16, 
##     1.04, 1.01, 1, 1.03, 1.03, 0.96, 0.88, 0.92, 0.98, 1.06, 
##     1.04, 0.43, 0.55, 0.43, 0.1, 0, 0.14, 0.87, 0.85, 0.72, 0.61, 
##     0.69, 0.66, 0.79, 0.69, 0.53, 1, 1.01, 1.06, 1.4, 1.46, 1.57, 
##     1.73, 1.94, 1.96, 1.32, 1.33, 1.16, 0.95, 1.19, 0.51, 0.77, 
##     0.48, 0.66, 0.85, 0.82, 0.79, 0.56, 1.08, 1.14, 1.16, 1.08, 
##     1.01, 1.46, 1.59, 1.75, 1.48, 1.72, 1.59, 1.48, 1.33, 1.11, 
##     1.03, 0.93, 1.24, 1.14, 1.25, 1.04, 1.08, 1.25, 1.22, 1.24, 
##     1.04, 0.95, 0.95, 1.04, 1.03, 1.06, 0.98, 0.9, 0.92, 0.92, 
##     0.75, 0.64, 0.64, 0.48, 0.69, 0.42, 0.47, 0.47, 0.63, 0.67, 
##     0.69, 0.66, 0.67, 0.63, 0.53, 0.42, 0.43, 0.56, 1.06, 0.95, 
##     1.11, 1.06, 1.04, 1.01, 0.92, 0.96, 1.04, 1.11, 1, 0.95, 
##     0.93, 0.92, 0.9, 0.9, 0.93, 0.88, 0.8, 0.66, 0.75, 0.71, 
##     0.69, -0.24, -0.21, -0.26, -0.22, -0.21, -0.27, -0.27, -0.26, 
##     -0.26, -0.21, -0.22, -0.26, -0.22, -0.21, -0.21, -0.22, -0.24, 
##     -0.24, -0.24, -0.24, -0.19, -0.22, -0.22, -0.19, -0.21, -0.21, 
##     -0.22, -0.21, -0.21, -0.21, -0.22, -0.21, -0.19, -0.21, -0.22, 
##     -0.22, -0.22, -0.22, -0.21, -0.21, -0.22, -0.22, -0.22, -0.21, 
##     -0.21, -0.18, -0.24, -0.22, -0.21, -0.18, -0.22, -0.16, -0.16, 
##     -0.14, -0.16, -0.18, -0.19, -0.27, -0.24, -0.21, -0.19, -0.16, 
##     -0.16, -0.16, -0.22, -0.31, -0.31, -0.26, -0.26, -0.21, -0.22, 
##     -0.37, 0.08, -0.34, -0.48, -0.56, -0.79, -0.87, -0.51, -0.35, 
##     -0.19, -0.21, -0.08, -0.03, 0.03, 0.24, 0.18, -0.02, -0.11, 
##     -0.14, -0.11, -0.06, 0.02, -0.06, 0, -0.06, 0.21, 0.19, -0.06, 
##     -0.14, -0.24, -0.03, 0.02, 0.03, -0.02, -0.11, -0.29, 0.31, 
##     0.02, -0.48, -0.53, -0.53, -0.16, -0.1, -0.11, -0.08, -0.26, 
##     -0.29, -0.34, -0.27, -0.29, -0.03, -0.21, -0.4, -0.5, -0.59, 
##     -0.72, -0.71, -0.69, -0.67, -0.56, -0.66, -0.96, 0, 0.16, 
##     -0.16, -0.32, -0.31, -0.24, -0.21, -0.18, 0, 0.06, 0.13, 
##     0.18, -0.05, -0.19, -0.26, -0.18, -0.22, -0.4, -0.64, -0.87, 
##     -0.92, -0.5, -0.34, -0.37, -0.26, 0.03, 0.13, -0.21, -0.59, 
##     -0.48, -0.21, 0.03, -0.21, -0.19, -0.13, -0.18, -0.4, -0.39, 
##     -0.35, -0.14, 0.18, 0.05, 0.05, 0.1, -0.18, -0.29, -0.1, 
##     -0.35, -0.4, -0.63, -0.67, -0.66, -0.26, -0.39, -0.08, 0.03, 
##     -0.05, -0.16, -0.34, -0.39, -0.29, -0.79, -0.77, -0.45, -0.34, 
##     -0.11, -0.14, -0.24, -0.47, -0.45, -0.29, -0.19, -0.08, -0.06, 
##     0.08, 0.05, 0.05, 0.31, 0.31, -0.53, -0.53, -0.31, -0.19, 
##     -0.06, 0.05, 0.08, -0.24, -0.51, -0.48, -0.48, -0.82, -1.04, 
##     -0.18, -0.21, -0.4, -0.47, -0.27, 0, 0.05, -0.02, -0.39, 
##     -0.37, -0.37, -0.32, -0.24, -0.06, 0.16, 0.19, 0.19, 0.1, 
##     -0.03, -0.16, -0.32, -0.13, -0.26, -0.34, -0.42, -0.06, -0.08, 
##     -0.32, -0.35, -0.35, -0.34, -0.29, -0.11, 0.08, 0.21, 0.26, 
##     0.19, -0.13, 0.03, 0.11, 0.21, 0.31, -0.22, -0.31, -0.69, 
##     -0.55, -0.56, -0.82, -0.67, -0.35, 0.39, -0.06, -0.27, -0.31, 
##     -0.26, -0.19, -0.13, -0.21, -0.58, -0.45, -0.19, -0.08, 0.26, 
##     -0.5, 0.02, 0.11, 0.11, -0.03, -0.61, -0.74, -0.75, -0.74, 
##     -0.72, -0.79, -0.8, -0.95, -0.83, 0.1, -0.21, -0.27, -0.45, 
##     -0.18, -0.08, 0.06, 0.13, -0.18, -0.24, -0.29, -0.27, -0.18, 
##     -0.14, -0.21, -0.29, -0.35, -0.48, -0.37, 0.03, 0.53, 0.21, 
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##     1.08, 1.09, 1.08, 0.92, 0.9, 0.95, 1.03, 1.03, 1.06, 1.04, 
##     1.03, 0.95, 0.92, 0.9, 0.93, 0.95, 0.87, 0.77, 0.75, 0.71, 
##     0.8, 0.75, 0.63, 0.47, 0.43, 0.66, 0.42, 0.42, 0.35, 0.35, 
##     0.59, -0.53, -0.5, -0.51, -0.5, -0.45, -0.31, -0.37, 0.27, 
##     0.06, 0.1, 0.58, 0.61, 0, -0.21, -0.69, 0.02, 0, 0.02, 0.39, 
##     0.39, 0.29, 0.24, 0.22, 0.19, 0.14, 0.1, 0.32, 0.22, 0.19, 
##     0.13, 0.14, 0.18, 0.13, 0.1, -0.21, -0.19, -0.18, -0.35, 
##     -0.37, -0.11, 0.1, 0.03, 0.02, 0, -0.11, -0.11, -0.05, -0.05, 
##     -0.06, -0.06, -0.03, -0.08, -0.1, -0.1, -0.03, -0.13, -0.14, 
##     -0.11, -0.03, -0.05, -0.03, -0.1, -0.22, -0.37, -0.34, -0.29, 
##     -0.16, -0.06, 0.05, 0.16, -0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, 0.03, -0.06, -0.05, -0.06, -0.08, -0.03, -0.05, 0.03, 
##     -0.02, -0.05, -0.05, -0.03, 0.02, 0, 0, 0, 0, 0, 0.03, 0.02, 
##     0.03, 0.03, 0, 0.05, 0.11, 0.05, 0.03, 0, 0.05, 0.1, 0.05, 
##     0.21, 0.19, 0.13, 0.05, 0.24, 0.45, 0.53, 0.48, 0.34, 0.06, 
##     -0.22, -0.14, -0.27, -0.16, -0.08, -0.18, -0.05, 0.42, -0.03, 
##     -0.39, -0.39, -0.32, -0.32, -0.92, -0.92, -0.77, -0.5, -0.53, 
##     -0.1, -0.1, -0.14, -0.24, -0.45, -0.11, 0.18, 0.22, 0.24, 
##     0.22, 0.05, -0.08, -0.19, -0.13, -0.02, 0.13, 0.26, -0.02, 
##     -0.02, -0.29, -0.34, 0.77, 1.03, 0.83, 0.51, -0.13, -0.47, 
##     -0.48, -0.45, -0.26, -0.22, -0.19, -0.16, -0.13, -0.22, 0.11, 
##     0.11, 0.1, -0.21, -0.22, -0.16, -0.27, -0.4, -0.48, -0.22, 
##     -0.18, 0, -0.06, -0.37, 0, -0.21, -0.19, -0.19, -0.19, -0.19, 
##     -0.21, -0.21, -0.21, -0.24, -0.22, -0.21, -0.21, -0.22, -0.19, 
##     -0.21, -0.21, -0.19, -0.19, -0.21, -0.19, -0.85, -0.67, 0.21, 
##     0.53, -22, 0.29, 0.06, -0.1, -0.55, -0.18, 0.03, 0.1, 0.16, 
##     0.11, -0.11, -0.32, -0.16, -0.21, -0.21, -0.16, -0.13, -0.13, 
##     -0.13, -0.13, -0.06, -0.05, -0.02, -0.03, -0.08, -0.14, -0.19, 
##     -0.51, -0.9, -0.95, -1.01, -0.14, -0.05, 0.03, 0.03, -0.03, 
##     0, 0.02, -0.16, -0.19, -0.22, -0.1, -0.14, -0.1, -0.26, -0.43, 
##     -0.31, -0.35, -0.08, 0.29, 0.34, 0.31, 0.47, 0.39, 0.53, 
##     0.34, 0.32, -0.26, -0.5, -0.64, -0.77, -0.24, -0.06, -0.35, 
##     -0.35, -0.4, -0.03, -0.39, -0.87, -0.82, -0.35, -0.75, -0.26, 
##     -0.19, -0.29, -0.26, -0.11, 0.48, 0.37, 0.75, 0.69, 0.43, 
##     -0.47, -0.43, -0.42, 0.06, 0.13, 0.16, 0.18, 0.24, 0.29, 
##     0.29, 0.42, 0.55, 0.5, 0.48, 0.59, 0.53, 0.16, 0.13, 0.11, 
##     0.72, 0.06, 0.02, 0.1, 0.18, 0.27, 0.26, 0.24, 0.22, 0.37, 
##     0.66, 0.45, -0.14, -0.19, -0.16, 0.22, 0.16, 0.13, 0.13, 
##     0.51, 0.29, 0.63, 0.5, 0.34, 0.47, 0.58, 0.66, 0.71, 0.74, 
##     0.14, 0.11, -0.11, -0.77, -0.9, -0.71, -0.32, -0.26, 0.18, 
##     -0.1, -0.71, -0.66, 0.18, -0.02, -0.21, 0.39, 0.48, 0.4, 
##     0.58, 0.63, 0.72, 0.61, 0.74, 0.63, 0.48, 0.47, 0.56, 0.4, 
##     0.35, 0.21, 0.18, 0.13, -0.31, -0.42, 0.34, 0.21, 0.02, 0.02, 
##     0.03, -0.03, -0.05, 0.06, 0.06, 0.11, 0.08, 0.06, 0.03, 0.06, 
##     0.06, 0.03, 0.14, 0.19, 0.42, 0.53, 0.56, 0.61, 0.72, 0.8, 
##     0.92, 0.9, 0.82, 0.75, 0.87, 0.59, 0.98, 1.11, 1.09, 0.75, 
##     0.92, 0.5, -0.35, -0.72, -0.74, -1.2, -1.28, -1.12, -0.98, 
##     -0.66, -0.79, -0.47, 0.18, 0.83, 0.82, 0.67, 0.61, 0.53, 
##     0.45, 0.45, 0.5, 0.75, 0.67, 0.48, 1.11, -0.51, -0.96, -0.82, 
##     -0.74, -0.69, -0.71, -0.5, -0.55, -0.51, -0.47, -0.02, -0.18, 
##     0.02, 0.29, 0.43, 0.53, 0.72, 1.19, 0.75, 0.4, 0.72, 0.96, 
##     0.11, -0.55, -0.74, -0.88, -0.79, -0.56, -0.16, -0.18, -0.43, 
##     -0.61, -0.47, 0.85, 0.74, 1.3, 1.36, 0.45, 0.08, -1.24, -1.25, 
##     -1.25, -1.01, -0.45, -0.82, -0.19, -0.4, -0.5, -0.39, 1.19, 
##     0.92, 0.22, 0.75, 0.56, 0.5, 0.47, 0.92, 0.79, 0.14, 0.42, 
##     0.72, 1.25, 0.88, 0.37, -0.88, -1.45, -1.51, -1.73, -0.96, 
##     -1.03, -0.51, 0.16, -0.39, 0.95, 0.13, 0.29, 0.27, 0.32, 
##     0.32, 0.35, 0.77, 0.98, 1.16, 0.92, 0.82, 1.19, -0.85, 0.98, 
##     0.34, 0.63, 0.96, 0.87, 0.98, 1.27, 1.32, 1.48, -0.22, -0.75, 
##     -0.64, -0.74, -0.85, -0.95, -0.08, -0.02, 0.02, -0.06, -0.1, 
##     -0.1, -0.9, -0.71, -0.53, 0.13, 0.8, 0.45, 0.39, 0.5, 0.43, 
##     0.64, 0.71, 0.64, 0.55, 0.55, 0.34, 0.29, 0.42, 0.85, 1.09, 
##     1.19, 0.74, 0.39, 0.03, -1, -1.41, -1.36, -1.17, -0.87, -0.45, 
##     -0.22, 0, -0.27, -0.22, -0.39, -0.19, -0.14, -0.02, -0.06, 
##     -0.11, -0.1, -0.21, -0.22, -0.21, -0.21, -0.26, -0.19, -0.13, 
##     -0.03, 0.05, 0.14, 0.13, 0.18, 0.11, -0.02, -0.08, -0.19, 
##     -0.16, -0.02, -0.55, -0.63, -0.8, -0.92, -1.03, -1.16, -1.17, 
##     -0.83, -0.66, -0.64, -0.39, -0.21, -0.27, -0.55, 0.24, 0.27, 
##     0.13, -0.26, -0.22, -0.14, 0.19, 0.18, -0.26, -0.11, -0.13, 
##     -0.06, 0.03, 0.02, -0.02, -0.26, -0.19, -0.11, -0.19, -0.19, 
##     0.18, 0.34, 0.4, 0.42, 0.1, -0.11, -0.22, -0.29, -0.22, -0.05, 
##     0.03, -0.05, -0.32, -0.37, 0, -0.42, -0.27, -0.42, -0.67, 
##     -0.71, -0.71, -0.71, -0.85, -0.9, -0.88, -0.92, -0.88, -0.77, 
##     0.03, 0.21, -0.31, -0.4, -0.43, -0.29, -0.22, -0.19, -0.21, 
##     -0.31, -0.51, -0.4, -0.03, 0.05, -0.02, -0.27, -0.4, -0.47, 
##     -0.48, -0.42, -0.9, -0.85, -0.61, -0.61, -0.67, -0.69, -0.67, 
##     -0.66, -0.1, -0.48, -0.35, -0.16, -0.11, -0.06, 0.14, 0.1, 
##     -0.02, -0.51, 0.03, 0.37, 0.42, 0.53, 0.22, 0.03, 0.11, 0.26, 
##     -0.19, -0.39, -0.5, -0.71, -0.71, -0.77, -0.63, -0.45, -0.32, 
##     -0.22, -0.51, -0.4, -0.18, -0.1, -0.06, 0.02, 0.18, 0.18, 
##     0.18, -0.45, -0.24, -0.06, 0.13, -0.11, -0.14, -0.13, -0.03, 
##     0.06, 0.11, 0.11, -0.18, -0.5, -0.37, -0.13, -0.16, -0.14, 
##     -0.27, -0.24, -0.26, -0.37, -0.47, -0.69, -0.72, -0.8, -0.79, 
##     -0.5, -0.26, -0.51, -0.8, -0.29, -0.21, -0.29, 0.02, 0.08, 
##     0.22, 0.31, -0.11, -0.19, -0.53, -0.77, -0.08, 0.22, 0.47, 
##     0.48, -0.11, -0.32, -0.45, 0.16, 0.19, 0.29, 0.16, -0.03, 
##     -0.19, -0.34, -0.47, -0.55, -0.32, -0.34, -0.5, -1.11, -0.82, 
##     -0.71, -0.05, 0.08, 0.18, 0.14, 0.29, 0.31, 0.32, 0.43, -0.72, 
##     -0.74, -0.77, -0.61, -0.39, -0.4, -0.47, -0.39, 0.24, -0.27, 
##     -0.39, -0.03, 0.19, 0.24, 0.29, 0.37, 0.37, 0.4, 0.4, 0.13, 
##     -0.08, -0.24, -0.48, -0.61, -0.4, -0.13, 0.06, 0.34, 0.43, 
##     0.45, 0.39, -0.32, -0.35, -0.5, -0.05, -0.43, -0.72, -0.58, 
##     -0.75, -1.03, -0.71, -0.47, -0.42, -0.13, -0.08, -0.18, -0.43, 
##     -0.03, 0.06, 0.16, 0.18, 0.18, 0.05, -0.18, -0.45, -0.58, 
##     -0.29, -0.51, -0.31, -0.11, -0.26, -0.08, -0.02, 0.02, 0.05, 
##     -0.18, -0.19, 0.03, 0.1, 0.19, 0.16, -0.05, 0.03, 0.21, 0.72, 
##     0.43, 0.13, -0.06, -0.18, 0.18, 0.19, 0.19, 0.1, -0.56, -0.13, 
##     -0.11, 0.34, -0.87, -0.72, -0.24, -0.51, -0.21, 0.35, 0.51, 
##     0.03, -0.37, -0.34, -0.26, -0.27, -0.21, 0.06, 0.02, 0.16, 
##     0.13, 0.02, -0.13, -0.42, -0.29, 0.06, -0.18, -0.32, -0.35, 
##     -0.77, -1.17, -0.67, 0.63, 0.48, 0.27, 0.06, -0.1, -0.34, 
##     -0.34, -0.39, -0.5, -0.13, 0.06, 0.05, 0.03, 0.39, 0.14, 
##     -0.03, 0.02, 0.05, 0.06, -0.03, 0.03, -0.03, -0.03, 0.02, 
##     0, -0.03, -0.03, -0.03, -0.03, -0.02, 0.02, 0, 0.02, 0.02, 
##     0.05, 0.03, 0, 0.03, -0.02, -0.03, 0, 0.06, 0.21, -0.21, 
##     -0.19, -0.1, -0.13, -0.32, -0.29, -0.31, -0.18, -0.05, 0.13, 
##     -0.32, 0.18, 0.4, 0.59, 0.58, 0.14, 0.19, 0.31, 0.34, -0.1, 
##     -0.13, -0.19, -0.48, 0.13, 0.02, -0.32, 0.08, -0.27, -0.58, 
##     -0.71, 0.71, -0.11, -0.48, -0.22, -0.72, -0.45, -0.26, -0.24, 
##     -0.48, -0.55, -0.55, -0.4, -0.34, 0.59, 0.64, 0.32, 0.21, 
##     0.16, 0.1, -0.02, -0.13, 0.03, 0.47, 0.39, 0.32, 0.48, 0.42, 
##     0.27, -0.03, 0.43, 0.19, 0.21, 0.32, -0.13, -0.02, 0.13, 
##     0.22, 0.32, 0.27, 0.11, -0.06, -0.21, 0.39, 0.39, 0.19, 0.24, 
##     0.29, 0.27, -0.11, 0.03, -0.03, -0.1, -0.27, -0.27, 0.34, 
##     -0.26, -0.55, -0.14, 0, 0.18, 0.08, -0.31, -0.26, -0.16, 
##     -0.16, -0.16, -0.55, -0.83, -0.56, -0.5, -0.58, 0, 0.1, 0.27, 
##     0.06, 0, 0.03, -0.08, -0.13, 0.1, -0.02, 0.1, 0.03, 0.06, 
##     -0.02, -0.4, 0.26, 0.29, 0.27, -0.06, -0.08, 0.14, 0.71, 
##     0.75, 0.4, 0.16, -0.19, 0, -0.05, 0.03, 0.22, -0.18, -0.37, 
##     -0.26, -0.11, -0.03, 0.16, 0.19, 0.27, 0.06, 0.16, 0.22, 
##     0.29, 0.42, -0.06, -0.1, -0.13, -0.11, 0.22, 0.24, 0.24, 
##     -0.06, -0.05, 0.1, -0.11, -0.27, -0.42, -0.69, -0.39, -0.13, 
##     -0.14, -0.53, -0.51, -0.08, 0.03, -0.08, 0, 0.42, 0.39, 0.32, 
##     0.1, 0.14, 0.34, 0.35, 0.08, -0.51, -0.34, -0.55, 0.29, 0.31, 
##     0.31, 0.43, 0.32, 0.13, 0.11, 0.13, -0.11, -0.16, -0.18, 
##     -0.16, -0.03, 0.06, 0.06, 0.03, 0.06, 0.05, 0.05, 0.03, -0.02, 
##     -0.06, 0.05, 0.1, 0.77, 1.36, 1.27, 1.2, 1.24, 0.85, 0.9, 
##     0.13, -0.18, -0.48, -1.03, -1.93, -1.85, -1.99, -2.07, -1.8, 
##     -1.51, -1.04, 0.21, 1.49, 1.43, 1.48, 1.14, 1.16, 1.41, 1.08, 
##     0.24, -0.32, -0.56, -0.74, -1.75, 1.69, 1.78, 1.33, 0.8, 
##     0.82, 0.77, 0.22, -0.27, -0.35, -0.48, -0.71, -1.08, -1.54, 
##     -1.83, -2.02, -2.1, -1.48, -1.27, -0.79, -0.59, 0.06, 0.27, 
##     0.92, 1.4, 1.48, 1.46, 1.41, 1.17, 0.48, 1.25, 1.24, 0.79, 
##     -0.48, -0.67, -0.79, -1.78, -1.78, -1.72, -1.38, -1.25, -1.25, 
##     -1.22, -0.11, 0.14, 0.92, 1.54, 1.53, 1.51, 1.53, 1.3, 0.95, 
##     0.85, 1.04, -0.43, -0.85, -1.22, -2.14, -1.48, -1.56, -1.33, 
##     -1.25, -0.59, 0.16, 0.39, 0.53, 0.63, 1.64, 1.67, -0.71, 
##     -0.29, 0.47, 0.53, 0.79, 1.16, 1.38, 1.91, 1.91, 1.65, 1.62, 
##     1.62, 1, 0.02, -1.62, -1.8, -1.98, -1.48, -1.53, -0.71, -0.45, 
##     0.1, 0.13, 0.35, 0.61, 0.56, 0.93, 1.49, 1.03, 0.43, 0.31, 
##     0.27, 1.2, 0.9, 0.18, -1.2, -1.46, -1.59, -1.49, -1.51, -1.78, 
##     -1.78, -1.56, -1.35, -1.09, -1.11, -1.16, -0.22, 0, 0.43, 
##     0.26, 0.48, 0.85, 1.98, 1.62, 0.55, 0.55, 0.64, 0.71, 0.64, 
##     -1.78, -1.91, -1.94, -2.47, -2.14, -1.49, -1.38, -1.17, -0.88, 
##     -0.47, -0.03, -1.51, -1.36, -1.4, -1.48, -1.28, -1.25, -0.61, 
##     -0.47, -0.35, 0.34, 0.35, 0.4, 0.16, 0.08, 0.02, -0.02, 0.93, 
##     0.95, 1.01, 0.95, 0.95, 0.95, 0.95, 0.79, 0.79, 0.66, 0.31, 
##     0.19, 0.98, 0.92, 0.92, 0.88, 0.92, 0.95, 1.01, 1, 0.98, 
##     1, 1.01, 1.01, 1.11, 1.11, 1.09, 1.09, 1.08, 1.06, 0.96, 
##     0.96, 0.88, 0.9, 0.95, 1.01, 1.03, 1.04, 1.28, 1.35, 1.24, 
##     1.2, 1.2, 1.24, 1.24, 1.17, 1.08, 1.08, 0.9, 0.88, 0.92, 
##     1.01, 1.06, 1.11, 1.19, 1.3, 1.28, 1.17, 1.27, 1.54, 1.53, 
##     1.4, 1.22, 1.24, 1.06, 1, 0.98, 1.06, 0.98, 0.42, 0.83, 1.22, 
##     0.88, 0.85, 0.48, 0.67, 0.61, 0.74, 0.77, 0.72, 0.67, 0.61, 
##     0.8, 1.08, 1.11, 1.11, 1.11, 1.14, 1.17, 1.16, 0.96, 1.03, 
##     1.32, 1.25, 1.2, 1.03, 0.96, 0.92, 0.88, 0.83, 0.59, 0.37, 
##     0.42, 0.34, -0.03, 0.26, 0.39, 0.53, 0.61, 1.06, 1.62, 1.61, 
##     1.33, 1.17, 1.06, 1.25, 1.12, 1.03, 0.95, 0.93, 1.09, 1.12, 
##     1.17, 1.36, 1.41, 1.38, 1.28, 1.17, 1.12, 0.92, 0.87, 0.83, 
##     0.79, 0.63, 0.55, 0.19, 0.1, 0.19, 0.21, 0.63, 0.43, 0.39, 
##     0.75, 1.28, 1.38, 1.17, 0.06, 1.08, 1.25, 1.17, 1.22, 1.27, 
##     1.28, 1.27, 1.4, 1.46, 1.73, 1.85, 1.86, 1.67, 1.22, 1.28, 
##     1.48, 1.49, 1.49, 0.14, 0.26, 0.21, 0.47, 0.77, 0.32, 0.45, 
##     0.43, 0.39, 0.42, 0.42, 0.43, 0.59, 0.72, 0.72, 0.72, 0.77, 
##     1.24, 1.54, 1.36, 1.48, 1.51, 1.48, 1.35, 0.95, 0.87, 0.88, 
##     0.85, 0.63, 0.51, 0.11, -0.1, 0.02, 0.24, 0.55, 0.45, 0.4, 
##     0.31, 0.29, 0.4, 0.43, 0.43, 0.5, 0.5, 0.59, 0.71, 0.71, 
##     0.72, 0.75, 1.03, 1.14, 1.53, 1.62, 1.73, 1.77, 1.86, 1.98, 
##     1.78, 1.78, 1.75, 1.49, 1.3, 1.4, 1.45, 1.51, 1.7, 1.4, 1.27, 
##     1.27, 1.19, 1.04, 0.92, 0.98, 0.55, 0.39, 0.16, 0.61, 0.9, 
##     1.11, 0.88, 0.8, 0.77, 0.71, 0.98, 0.9, 0.42, 0.55, 0.53, 
##     0.71, 0.67, 0.64, 0.47, 0.45, 0.53, 0.61, 0.77, 1.28, 1.4, 
##     1.51, 1.51, 1.69, 1.73, 1.73, 1.73, 1.69, 1.7, 1.69, 1.69, 
##     1.83, 1.78, 1.06, 1.46, 1.53, 1.14, 1.14, 1.2, 1.24, 1.24, 
##     1.25, 1.22, 1.2, 1.22, 1.03, 1.03, 0.96, 0.24, 0.31, 0.39, 
##     0.27, 0.29, 0.18, 0.39, 0.4, 0.39, 0.26, 0.37, 0.39, 0.39, 
##     0.66, 0.79, 0.77, 0.85, 1, 1.03, 1.75, 1.75, 1.67, 1.51, 
##     1.43, 1.36, 0.92, 0.92, 0.96, 1.04, 1.27, 1.25, 1.35, 1.45, 
##     1.19, 1.04, 0.83, 0.85, 0.93, 0.88, 0.72, 0.9, 0.88, 0.75, 
##     0.39, 0.8, 0.83, 0.71, 0.63, 0.63, 0.67, 0.74, 0.82, 0.88, 
##     0.87, 0.83, 0.8, 0.82, 0.83, 0.88, 1.24, 1.25, 1.32, 1.35, 
##     1.36, 1.2, 0.88, 1.16, 1.03, 1.04, 1.03, 1.24, 0.14, 0.37, 
##     0.51, 0.55, 0.61, 0.71, 0.74, 0.88, 0.9, 1, 0.87, 0.87, 0.83, 
##     0.92, 0.95, 0.96, 0.95, 0.98, 0.92, 0.67, 0.87, 0.74, 0.77, 
##     0.63, 0.67, 0.48, 0.27, 0.71, 0.75, 1.11, 1.12, 1.12, 1.36, 
##     1.43, 1.51, 1.54, 1.7, 1.75, 1.73, 1.8, 1.77, 1.72, 1.61, 
##     1.25, -0.27, -0.24, 0.03, -0.37, -0.64, -0.85, -0.69, -0.13, 
##     -0.02, -0.1, -0.11, -0.18, -0.24, 0.19, 0.27, 0.39, 0.47, 
##     0.16, 0.06, -0.06, -0.1, -0.31, -0.59, -0.72, -0.88, -0.59, 
##     -0.98, -0.88, -0.75, -0.53, -0.48, -0.72, -1.25, -0.69, -0.24, 
##     -0.29, -0.51, -0.45, -0.39, -0.34, -0.03, 0.06, -0.08, -0.22, 
##     -0.39, -0.21, 0.11, 0.29, 0.42, 0.61, 0.66, 0.45, 0.51, 0.82, 
##     1.11, 0.66, 0.05, -0.05, -0.05, 0.27, 0.48, 0.45, 0.27, 0.14, 
##     0.05, 0.02, 0.06, 0.13, 0.74, 0.43, 0.29, -0.27, -0.42, -0.53, 
##     -0.55, -0.4, -0.34, -0.51, -0.39, -0.39, -0.39, -0.63, -0.45, 
##     -0.29, -0.27, -0.55, -0.24, -0.35, -0.19, 0.08, 0.11, 0.08, 
##     0.06, 0.03, -0.11, -0.1, -0.1, -0.1, -0.06, -0.08, -0.08, 
##     -0.02, 0.42, 0.74, 0.72, 0.77, 0.87, 0.66, 0.59, 0.69, 0.64, 
##     0.67, 0.64, 0.4, 0.35, 0.26, -0.67, -0.69, -0.66, -1.01, 
##     -0.98, -0.77, -0.67, -0.59, -0.67, -0.64, -0.71, -0.8, -0.83, 
##     -1, -0.45, -0.45, -0.47, -0.55, -0.32, -0.55, 0.61, 0.4, 
##     0.22, 0.21, 0.16, 0.35, -0.06, -0.18, 0.02, -0.24, -0.8, 
##     -0.98, -1.08, -1, -0.87, -0.5, -0.11, -0.19, -0.72, -0.66, 
##     -0.29, -0.47, -0.31, -0.13, 0.16, 0.18, 0.21, 0.18, 0.5, 
##     0.1, 0, -0.03, 0.34, 0.13, 0.13, 0.02, 0.13, 0.22, 0.58, 
##     0.71, 0.51, 0.47, -0.31, -0.11, -0.42, -0.47, -0.47, -0.47, 
##     -0.45, -0.56, -0.66, -0.59, -0.45, -0.43, -0.51, -0.71, -0.16, 
##     -0.42, -0.67, -1.09, -0.55, -0.66, -0.64, -0.42, -0.06, 0.19, 
##     0.27, 0.32, 0.37, 0.32, 0.42, 0.9, 0.26, 0.26, 0.58, 0.64, 
##     0.75, 0.93, 0.72, 0.82, 0.58, 0.34, 0.24, 0.29, 0.42, 0.35, 
##     0.24, 0.16, 0.02, -0.16, -0.14, -0.13, -0.43, -0.64, -0.53, 
##     -0.24, -0.8, -0.82, -0.66, -0.43, -0.34, -0.64, -0.9, -0.45, 
##     -0.26, -0.21, -0.21, 0.93, 1.08, 1.04, 0.61, 0.21, 0.22, 
##     0.22, 0.27, 0.29, 0.31, 0.27, 0.4, 0.35, -0.05, -0.16, -0.14, 
##     -0.22, -0.55, -0.64, -0.72, -0.88, -0.82, -0.67, -0.56, -0.47, 
##     -0.79, -0.51, -0.16, -0.5, -0.5, -0.48, 0.26, -0.27, -0.56, 
##     -0.66, -0.53, -0.53, -0.59, -0.64, -0.31, -0.26, -0.22, 0.06, 
##     0.14, 0.21, 0.14, 0.03, 0.11, 0.8, 0.21, 0.45, 0.63, 0.21, 
##     -0.26, -0.58, -0.66, -0.75, -0.9, -0.79, -0.83, -0.69, -0.8, 
##     -0.82, -0.8, -1.12, -0.64, -0.51, -0.31, -0.27, -0.35, 0.35, 
##     0.35, 0.32, 0.21, 0.19, 0.19, 0.29, 0.24, 0.22, 0.27, 0.69, 
##     0.93, 1, 1.04, 0.8, 0.64, 0.55, 0.55, 0.98, 0.8, 0.71, 0.4, 
##     0.42, 0.83, -0.34, -0.39, -0.69, -0.71, -0.66, -0.63, -1, 
##     -1.14, -0.47, -0.55, -0.83, -0.56, -0.88, -0.53, 0.16, 0.11, 
##     0.02, 0.02, 0.03, 0.22, 0.37, 0.74, 0.55, 0.8, 1.28, 1.25, 
##     0.87, 0.66, 0.55, 1.51, 0.77, 0.55, 0.37, 0.51, 0.61, 0.59, 
##     0.13, -0.05, -0.14, -0.14, -0.11, -0.18, -0.48, -0.66, -0.74, 
##     -0.79, -0.71, -0.64, -0.75, -0.67, -0.63, -0.63, -0.85, 0.71, 
##     0.75, 0.75, 1.41, 1.32, 1.25, 1, 0.93, 0.88, 1.19, 1.28, 
##     1.27, 1.06, 0.93, 1, 0.98, 0.95, 0.43, 0.48, 0.48, 0.59, 
##     0.59, 0.72, 0.8, 1.01, 1.09, 1.17, 1.14, 1.04, 1, 1.03, 1.01, 
##     0.96, 0.85, 0.71, 0.71, 0.63, 0.53, 0.55, 0.66, 1.35, 1.27, 
##     1.43, 1.69, 1.73, 1.65, 1.64, 1.38, 1.33, 1.01, 1.06, 1.19, 
##     1.04, 1.04, 1.19, 1.22, 1.14, 1.12, 1.09, 1.04, 0.92, 0.93, 
##     1, 1, 1, 0.96, 0.95, 0.93, 0.92, 0.95, 0.92, 0.95, 0.47, 
##     0.79, 0.79, 0.77, 0.61, 0.43, 0.5, 0.67, 0.45, 0.31, 0.24, 
##     0.18, -0.43, -0.1, 0.08, 0.02, 0.02, 0.03, 0.03, 0.19, 0.34, 
##     0.31, 0.26, 0.1, -0.1, -0.24, 0.8, 1.16, 0.03, -0.16, 0.71, 
##     0.45, 0.51, 0.64, 0.87, 1.08, 1.14, 1.4, 1.01, 0.22, 0.5, 
##     0.56, 0.63, 0.61, 0.1, 0.26, 0.24, -0.22, -0.08, -0.03, -0.03, 
##     -0.05, -0.06, -0.5, 0.55, 0.48, 0.13, 0.19, 0.26, 0.08, 0.08, 
##     0.08, 0.27, 0.35, 0.82, 0.58, -0.26, -0.24, 0.1, 0.05, 0.1, 
##     0.13, 0.1, 0.1, -0.05, -0.05, -0.05, 0.92, 0.8, 0.71, 0.71, 
##     1.16, 1.73, 1.93, 1.49, 1.32, 1.08, 1, 1.04, -1.06, -1.3, 
##     -1.83, 1.01, 1.04, 1.03, 1.03, 1.08, 0.92, -1.14, -1.22, 
##     -1.54, -1.53, -2.02, -1.93, -2.06, -1.72, -1.81, -1.96, -1.8, 
##     -1.67, -1.49, -1.56, -1.43, -0.82, -0.26, 0.1, 0.21, 0.37, 
##     0.75, 0.83, 1.33, 1.53, 0.03, 0.02, 0.03, 0.05, -0.02, -0.02, 
##     0, 0, 0, 0, -0.02, 0, 0.02, 0.06, 0.03, 0, 0.03, 0.06, 0, 
##     0, 0.03, -0.05, -0.03, -0.06, 0, 0.47, 0.26, -0.29, -0.35, 
##     -0.35, -0.37, -0.63, -0.58, -0.55, -0.24, 0.19, 0.21, -0.19, 
##     -0.13, -0.06, -0.05, 0.02, -0.48, -0.53, -0.55, -0.93, -1.04, 
##     -1.14, -0.9, -0.53, 0.19, 0.08, -0.06, -0.14, -0.11, -0.51, 
##     -0.47, -0.39, -0.42, -0.35, 0.02, -0.29, -0.35, -0.43, -0.66, 
##     -0.71, -0.32, -0.19, -0.06, -0.21, -0.27, -0.22, -0.02, 0, 
##     -0.05, 0.22, -0.03, -0.45, -0.55, -0.66, -0.58, -0.1, 0.14, 
##     -0.22, -0.16, -0.13, -0.19, -0.16, -0.13, -0.16, -0.19, -0.21, 
##     -0.22, -0.22, -0.21, -0.37, -0.16, -0.14, -0.1, -0.16, -0.22, 
##     -0.24, -0.26, -0.27, -0.22, -0.21, -0.22, -0.26, -0.21, -0.26, 
##     -0.42, -0.8, -0.43, -0.02, 0, 1.03, -0.31, -0.02, 0.03, 0.42, 
##     0.32, 0.56, -0.06, 0.1, -0.11, -0.16, 0.11, 0.26, 0.39, 0.4, 
##     0.47, 0.55, 0.64, -0.66, -0.51, -0.59, -0.51, -0.19, -0.18, 
##     -0.24, 0.22, -0.16, -0.19, -0.4, -0.51, 0.21, 0.21, -0.19, 
##     0.45, 0.53, 0.35, 0.06, -0.05, -0.14, 0.26, -0.02, -0.55, 
##     -0.75, -0.77, -0.58, 0.14, 0.45, 0.42, 0.03, -0.34, -0.56, 
##     -0.87, -0.92, -0.56, -0.24, -0.21, -0.19, 0.37, -0.18, -0.85, 
##     -0.83, -0.59, -0.48, -0.45, -0.53, -0.67, -0.47, -0.22, -0.1, 
##     0.05, -0.24, -0.37, -0.39, -0.32, -0.26, -0.42, -0.18, 0.08, 
##     0.1, 0.39, 0.18, 0, -0.13, -0.13, -0.02, 0.06, 0.13, -0.22, 
##     -0.61, -0.5, -0.48, -0.56, -0.05, -0.67, -0.61, -0.37, -0.47, 
##     -0.53, -0.63, -0.67, -0.72, -0.47, -0.35, -0.53, -0.29, -0.13, 
##     -0.16, 0.51, 0.55, 0.02, -0.24, 0.05, 0.06, 0.18, 0.08, -0.32, 
##     -0.29, -0.16, 0.34, 0.59, 0.11, -0.43, -0.61, -0.66, -0.24, 
##     0.05, 0.21, 0.21, 0.18, 0.32, 0.51, -0.4, -0.27, -0.14, -0.03, 
##     0.19, 0.26, 0.05, -0.08, -0.27, -0.43, -0.51, -0.29, 0.08, 
##     0.14, -0.31, -0.26, 0.1, 0.14, -0.26, 0.18, 0.31, 0.05, -0.08, 
##     -0.18, -0.1, -0.06, -0.03, -0.39, 0.21, 0.34, 0.31, 0.29, 
##     0.39, 0.18, 0.42, 0.22, 0.27, 0.31, 0.37, 0.16, 0.27, 0.79, 
##     0.69, 0.8, 1, 1.16, 1.75, -1.3, -1.35, -1.35, -0.92, -0.69, 
##     -1.19, -1.12, -0.95, -0.61, -0.31, -0.06, -0.03, 0.35, 0.53, 
##     0.77, 0.83, 0.95, 1.11, 0.64, 0.67, 0.69, 0.85, 1, 1.17, 
##     -0.37, -1.4, -1.28, -1.14, -1.03, -0.98, -0.92, -0.5, -0.27, 
##     -0.32, -0.61, -0.79, -0.69, -0.69, -0.74, -0.5, -0.08, 0.24, 
##     0.4, 0.42, 0.4, 0.4, 0.27, 0.18, 0.24, 0.26, 0.19, 0.34, 
##     0.39, 0.55, 0.64, 0.72, 0.5, 0.02, 0.18, 0.37, 0.43, 0.29, 
##     0.06, 0.02, -0.14, -0.14, 0.03, 0.03, 0.08, 0.13, 0.14, -0.03, 
##     -0.06, -0.11, -0.14, 0.14, -0.39, 0.4, 0.37, 0.45, 0.22, 
##     0.22, 0.16, 0.16, 0.61, 0.56, 0.45, -0.11, -0.05, -0.02, 
##     0.37, 0.34, -0.18, -0.29, 0.13, 0.21, 0.11, 0.03, -0.1, -0.43, 
##     0.02, 0.02, 0, -0.02, 0.34, 0.35, 0.34, 0.22, 0.18, 0.1, 
##     0.45, 0.31, 0.14, 0.02, 0.56, 0.34, 0.18, 0.4, 0.21, -0.03, 
##     0.05, 0.22, 0.51, 0.58, 0.16, 0.05, 0.18, 0.29, 0.03, -0.43, 
##     -0.39, -0.27, 0.14, 0.11, 0.05, 0.14, 0.22, 0.29, 0.32, 0.45, 
##     0.59, 0.66, 0.66, 0.55, 0.31, 0.4, 0.48, 0.18, 0.1, 0.06, 
##     0.08, -0.02, -0.13, -0.39, -0.26, -0.29, -0.18, -0.42, 0, 
##     -0.16, -0.19, -0.27, 0.02, -0.08, -0.02, 0.19, 0.5, 0.42, 
##     0.29, 0.43, 0.64, 0.43, 0.35, 0.34, 0.35, 0.08, -0.11, 0.08, 
##     0.21, 0.13, 0, -0.06, 0.13, 0.21, 0.02, -0.08, -0.14, -0.13, 
##     0.27, 0, 0.03, 0.16, 0.34, 0.27, 0.32, 0.39, 0.74, 0.26, 
##     0.16, 0.48, 0.05, 0.02, -0.02, -0.05, -0.03, 0, 0.13, 0.1, 
##     -0.35, -0.61, -0.06, 0.05, -0.13, -0.02, -0.05, -0.08, 0, 
##     -0.34, -0.35, -0.77, -0.37, -0.03, 0.06, 0.08, -0.32, -0.53, 
##     -0.87, -0.67, -0.53, -0.34, -0.1, 0.02, 0, -0.05, -0.1, -0.05, 
##     -0.05, -0.16, -0.32, -0.48, -0.56, -0.11, 0.08, -0.27, -0.35, 
##     -0.26, -0.32, -0.39, -0.98, -0.98, -0.82, -0.79, 0.03, 0.26, 
##     0.4, 0.45, 0.22, 0.08, -0.02, 0, -0.05, -0.66, -0.69, 0, 
##     0.03, 0.05, 0.35, 0.35, 0.34, -0.45, -0.56, -0.72, -0.69, 
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##     -0.16, -0.37, 0.06, 0.03, -0.05, -0.42, -0.35, -0.35, -0.03, 
##     -0.03, -0.19, -0.26, -0.21, -0.21, -0.32, -0.61, -0.27, -0.1, 
##     -0.34, -0.18, 0.19, 0.31, 0.43, 0.27, 0.14, -0.16, -0.47, 
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##     -0.42, -0.29, -0.11, 0.14, -0.14, -0.39, 0, 0.11, 0.11, 0.06, 
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##     -0.14, -0.26, -0.32, 0.24, 0.51, 0.45, 0.29, -0.77, -0.61, 
##     -0.51, -0.4, -0.03, -0.02, 0, -0.03, -0.13, -0.27, -0.32, 
##     -0.34, -0.22, -0.14, 0.14, 0.22, 0.05, -0.4, -0.56, 0.02, 
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##     -0.02, 0.03, -0.02, -0.47, -0.24, -0.43, -0.64, -0.51, -0.26, 
##     -0.14, -0.08, 0, -0.18, -0.13, -0.29, -0.21, -0.08, 0.02, 
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##     0.18, 0.16, 0.1, -0.02, 0, 0.02, 0.08, 0.13, 0.13, 0.14, 
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##     -0.35, -0.64, -0.29, -0.16, -0.13, -0.05, 0.18, -0.13, 0.11, 
##     0.02, 0.48, -0.27, 0.05, 0.53, 0.42, -0.22, -0.19, -0.14, 
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##     -0.03, 0.26, -0.06, -0.08, -0.08, -0.16, -0.24, -0.22, 0.14, 
##     0.11, 0.05, 0.34, 0.43, 0.42, 0.24, 0.13, -0.06, -0.02, 0.03, 
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##     0.11, -0.18, -0.02, -0.08, 0.11, 0.13, 0, -0.05, 0, 0.13, 
##     0.19, 0.13, 0.06, -0.1, -0.05, 0.14, 0.51, 0.31, 0.32, 0.42, 
##     0.45, 0.39, 0.35, 0.08, 0.31, 0.18, -0.14, 0.11, 0.18, 0.22, 
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##     -0.16, -0.45, -0.4, -0.03, -0.06, -0.13, -0.32, -0.4, -0.32, 
##     -0.22, -0.03, -0.19, -0.16, 0.1, 0, -0.08, -0.06, 0.27, 0.18, 
##     0.18, 0.06, -0.05, 0, -0.06, -0.48, -0.59, 0, 0.03, 0.03, 
##     0, -0.02, 0.02, 0, 0.4, 0.69, 0.72, 0.88, 0.67, 0.55, 0.58, 
##     0.64, 0.66, 0.64, 0.03, -0.18, -0.26, -0.14, 0.05, -0.31, 
##     -0.51, -0.39, -0.69, -0.64, -0.55, -0.32, -0.5, -0.51, -0.59, 
##     -0.55, 0.05, 0.03, -0.13, 0.19, 0.13, 0.16, 0.13, 0.1, 0.11, 
##     0.67, 0.82, 1, 0.88, 0.67, 0.14, 0.03, 0.08, 0, -0.08, -0.31, 
##     -0.37, -0.72, -0.74, -0.55, -0.03, 0.05, 0.08, 0.08, 0.43, 
##     0.42, 0.48, 0.95, 0.93, 0.79, 0.87, 0.63, 0.51, 0.42, -0.05, 
##     0.08, 0.11, -0.06, -0.24, -0.19, -0.14, -0.16, 0.19, -0.08, 
##     -0.48, 0.26, -0.16, -0.06, -0.16, -0.03, -0.06, -0.22, -0.24, 
##     -0.72, -0.59, -1.2, 0.05, 0.27, 0.14, 0.4, 0.64, 0.66, 1.49, 
##     1.36, 0.92, 0.53, 0.47, 0.03, 0.02, -0.08, 0.16, 0.03, -0.56, 
##     -0.75, -0.63, -0.61, 0.08, 0.24, 0.21, 0.19, 0.16, 0.21, 
##     0.32, 1, 0.93, 0.74, 0.72, 0.71, 0.64, 0.1, -0.14, -0.22, 
##     -0.16, -0.43, -1.3, -1.16, -1.06, -0.67, -0.72, -0.92, -0.64, 
##     -0.29, -0.18, 0.31, 0.27, 0.37, 0.53, 0.53, 1.14, 1.32, 0.39, 
##     0.21, 0, -0.05, -0.13, -0.11, 0.02, -0.13, -0.26, -0.64, 
##     -0.85, -1.14, -0.79, -0.69, -1.16, 0.08, 0.18, 0.31, 0.24, 
##     0.42, 0.74, 0.96, 1.4, 1.49, 0.61, -0.08, 0, -0.31, -1, -0.88, 
##     -0.51, -0.31, -0.67, -0.87, 0.14, 0.32, 0.37, 0.4, 0.45, 
##     0.9, 1.2, 0.72, 0.77, -0.29, -0.24, -0.16, -0.02, -0.48, 
##     -0.66, -0.56, -0.69, -0.42, -0.27, -1.09, -1.14, -0.24, 0.31, 
##     0.27, 0.48, 0.8, 0.88, 1, 1.06, 1.04, 0.69, 0.72, 0.64, 0.32, 
##     -0.45, -0.21, 0, 0.21, 0.06, -0.31, -0.18, -0.71, -0.59, 
##     -0.74, -0.43, -0.66, -0.95, 0.08, 0.08, 0.21, 0.27, 0.24, 
##     0.11, 0.05, 0.06, 0.08, 0.08, -0.1, -0.13, -0.08, -0.18, 
##     -0.14, 0, 0, 0.19, 0.1, 0.08, 0.06, -0.08, -0.13, 0, -0.05, 
##     -0.05, 0.06, 0, 0, -0.06, 0.02, 0, 0, -0.03, 0.16, 0.45, 
##     0.92, 1.11, 1.11, 1.11, 1.16, 1.22, 1.2, 1.06, 0.9, 0.88, 
##     0.72, 0.61, 0.66, 0.29, -0.24, -0.29, -0.32, -0.34, -1.14, 
##     -1.03, -1.38, -1.4, -1.54, -0.56, 1.22, 0.96, 1.03, 1.16, 
##     0.72, 0.83, 0.85, -0.21, -0.37, -0.88, -1.11, -0.87, -0.39, 
##     -0.93, -1, -1.14, -0.66, 0.24, 0.56, 0.63, 0.05, -0.1, -0.31, 
##     -0.29, -0.18, -0.26, -0.19, -0.03, -0.06, -0.02, -0.08, 0, 
##     0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.05, -0.08, 
##     -0.03, 0.13, 0.24, 0.31, 0.45, 0.53, 0.69, 0.72, 0.82, 0.63, 
##     0, -0.27, -0.35, -0.31, 0.27, 0.16, -0.16, -0.1, -0.05, -0.19, 
##     0.06, 0.1, 0.02, -0.06, -0.14, -0.14, -0.05, -0.03, 0.02, 
##     0, 0.02, 0, 0, -0.05, 0, 0.05, 1.09, 1.36, 1.86, 1.85, 1.73, 
##     1.43, 1.45, 1.56, 1.38, 1.2, 1.24, 1.33, 1.22, 1.19, 1.22, 
##     1.3, 1.64, 1.65, 1.61, 1.38, 1.45, 1.88, 1.91, 1.65, 1.64, 
##     1.54, 1.36, 1.36, 1.33, 1.33, 1.32, 1.33, 0.24, 0, -0.24, 
##     1.04, 0.98, 0.58, 0.4, 0.67, 1, 0.95, 0.88, 0.67, 0.66, 0.64, 
##     0.77, 0.95, 0.9, 0.75, 0.9, 0.9, 0.85, 0.9, 1.03, 1.32, 1.4, 
##     1.43, 1.41, 1.45, 1.43, 1.62, 1.64, 1.7, 1.7, 1.7, 1.65, 
##     1.62, 1.54, 1.48, 1.32, 1.33, 1.24, 1.2, 1.09, 0.96, 0.96, 
##     0.88, 0.08, -0.16, -0.19, -0.66, -0.56, -0.47, -0.4, -0.42, 
##     -0.4, -0.13, -0.27, 1.19, 1.17, 0.82, 0.83, 0.88, 1.03, 1.2, 
##     1.57, 1.12, 0.8, 1.03, 1.04, 0.8, 0.85, 0.82, 0.83, 0.96, 
##     1.11, 1.14, 1.17, 1.3, 1.3, 0.87, 0.88, 0.9, 0.9, 0.88, 0.93, 
##     0.96, 0.95, 0.93, 0.93, 0.93, 0.96, 1, 1.09, 1.17, 1.25, 
##     1.38, 1.51, 1.56, 1.45, 1.32, 1.08, 1.09, 1.14, 1.19, 1.36, 
##     0.92, 0.85, 1.03, 1.06, 1.04, 1.01, 0.95, 1.01, 0.98, 1.04, 
##     0.98, 0.98, 1.04, 1.11, 1.38, 1.03, 0.79, 0.83, 0.85, 0.77, 
##     0.92, 1.09, 1.32, 1.35, 1.56, 1.49, 1.22, 1.3, 1.38, 1.11, 
##     1.16, 1.08, 0.98, 1.01, 1.03, 1.06, 1, 1.08, 1.03, 1.16, 
##     1.12, 0.98, 1.11, 1.01, 0.98, 0.93, 0.87, 0.93, 0.61, 0.43, 
##     0.64, 0.69, 0.63, 0.35, 0.39, 0.45, 0.77, 1.08, 1.08, 0.66, 
##     0.83, 0.82, 0.82, 0.79, 0.87, 1.12, 1.22, 1.11, 1.12, 1.2, 
##     1.25, 1.48, 1.48, 1.46, 1.36, 1.48, 1.45, 1.2, 1.25, 1.09, 
##     1.08, 1.08, 1.16, 1.19, 1.19, 1.09, 1.01, 1.03, 1.04, 1.03, 
##     1.11, 1.04, 1.09, 1.06, 0.77, 1, 0.9, 0.71, 0.63, 0.5, 0.47, 
##     0.58, 0.85, 0.72, 0.63, 1.06, 0.82, 0.72, 0.75, 0.74, 0.95, 
##     1, 1.43, 1.3, 1.24, 1.14, 1.08, 1.06, 0.96, 0.75, 0.75, 0.82, 
##     0.82, 0.69, 0.69, 0.79, 1.01, 0.98, 0.98, 0.93, 0.79, 0.83, 
##     0.95, 0.98, 1.11, 1.24, 1.27, 1.25, 1.25, 1.14, 1.25, 1.22, 
##     1.16, 1, 1.09, 1.11, 1.2, 1.11, 1.04, 1, 1.01, 1.03, 0.92, 
##     1.01, 0.96, 1, 0.83, 0.9, 0.85, 0.79, 0.75, 0.83, 0.82, 1.03, 
##     0.77, 0.85, 0.85, 0.87, 0.96, 0.98, 1, 1.35, 1.43, 1.38, 
##     1.35, 1.27, 1.3, 1.22, 1.14, 1, 0.96, 0.95, 0.96, 0.93, 1.06, 
##     1.08, 1.01, 1.08, 0.95, 0.95, 0.71, 0.77, 0.92, 0.79, 0.74, 
##     0.55, 0.63, 0.9, 1.16, 1.09, 1.4, 1.56, 1.57, 1.49, 1.45, 
##     1.4, 1.32, 1.09, 1.12, 1.24, 1.04, 1.01, 0.98, 0.95, 0.93, 
##     0.95, 0.92, 0.92, 0.96, 0.92, 1.11, 0.96, 1.04, 1.06, 0.92, 
##     0.96, 0.98, 0.96, 1.04, 1, 1.01, 0.96, 0.87, 0.77, 0.75, 
##     0.74, 0.74, 0.69, 0.53, 0.55, 0.9, 0.67, 0.66, 0.98, 0.95, 
##     0.79, 0.77, 1.22, 1.43, 1.59, 1.4, 0.79, 0.9, 1.19, 1.28, 
##     1.27, 1.24, 1.2, 1.19, 1.24, 1.2, 1.27, 1.28, 1.28, 1.3, 
##     0.96, 0.96, 0.95, 0.93, 0.88, 0.8, 0.66, 0.47, 0.11, 0.74, 
##     0.64, 0.8, 0.8, 1.04, 0.87, 0.87, 0.77, 1.27, 1.04, 0.96, 
##     0.85, 0.88, 0.88, 0.87, 0.08, 0, -0.06, 0.08, 0.19, 0.42, 
##     -1.11, -0.63, -0.59, -0.42, -0.34, -0.4, -0.8, -0.71, 0.95, 
##     0.83, 0.8, 0.63, 0.48, 0.58, 0.1, -0.08, -0.4, -0.43, -0.26, 
##     -0.16, -0.05, -0.5, -0.72, -0.47, -0.51, -0.45, -0.47, -0.32, 
##     -0.63, -0.39, -0.08, -0.45, -0.69, -0.82, -0.75, -0.59, -0.45, 
##     0.61, 0.43, 0.37, 0.29, 0.14, -0.11, -0.11, -0.1, 0.08, 0.27, 
##     0.34, 0.4, 0.83, 0.67, 1.01, 0.98, 0.75, 0.4, 0.32, 0.22, 
##     0.19, 0.42, 0.47, 0.1, -0.31, -0.35, -0.22, -0.5, -0.58, 
##     -0.63, -0.67, -0.69, -0.64, -0.69, -0.63, -0.56, -0.4, -0.29, 
##     -0.88, -0.74, -0.47, -0.42, -0.59, -0.93, -1.08, -1.08, -0.98, 
##     -0.5, -0.42, -0.58, -0.55, -0.63, -0.26, 0.06, 0.34, -0.21, 
##     -0.11, 0.18, 0.26, 0.21, 0.16, 0.1, 0.29, 0.64, 0.82, 0.79, 
##     0.39, 0.35, 0.22, 0.26, 0.18, 0.13, -0.19, -0.11, -0.08, 
##     -0.24, -0.35, -0.05, 0.05, 0.14, 0.24, 0.21, 0.26, 0.31, 
##     0.35, 0.61, 0.61, 0.56, 0.19, 0.92, -0.34, -0.19, -0.22, 
##     -0.31, -0.35, -0.32, -0.31, -0.24, -0.35, -0.29, -0.21, -0.26, 
##     -0.34, -0.4, -0.55, -0.53, -0.39, -0.16, 0.08, 0.24, 0.34, 
##     0.29, 0.18, 0.39, 0.53, 0.48, 0.34, 0.13, 0.16, 0.4, 0.26, 
##     0.31, 0.34, 0.26, 0.1, -0.02, -0.34, -0.39, -0.32, -0.24, 
##     -0.29, -0.4, -0.32, -0.16, -0.27, -0.48, -0.74, -0.74, -0.5, 
##     -0.31, -0.19, -0.05, -0.18, -0.22, -0.16, 0.4, 0.43, 0.34, 
##     0.34, 0.45, 0.5, 0.5, 0.5, 0.53, 0.45, 0.47, 0.55, 0.66, 
##     0.47, 0.18, 0.18, -0.05, -0.05, -0.08, -0.18, -0.48, -0.43, 
##     -0.51, -0.43, -0.31, -0.43, -0.24, 0, -0.39, -0.05, 0.08, 
##     0.11, 0.16, 0.26, 0.39, 0.37, -0.4, -0.45, 0.08, 0.02, -0.48, 
##     -0.75, -0.45, 0.29, 0.27, 0.39, 0.43, 0.37, 0.26, 0.03, 0, 
##     0, 0.08, 0.14, 0.1, 0.05, -0.14, -0.22, -0.27, -0.32, -0.43, 
##     -0.39, -0.29, -0.21, -0.19, -0.26, -0.27, -0.35, -0.03, -0.37, 
##     -0.55, -0.34, -0.35, -0.31, -0.27, 0.06, 0.22, -0.03, -0.42, 
##     0.1, -0.08, -0.11, -0.43, -0.5, -0.11, -0.16, 0.1, 0.13, 
##     0.22, 0.13, 0.21, 0.11, -0.05, 0.13, 0.48, 0.64, 0.5, 0.37, 
##     0.31, 0.27, 0.32, 0.43, 0.5, 0.5, 0.48, 0.4, 0.42, 0.24, 
##     0.72, 0.64, 0.53, 0.08, 0, -0.22, -0.22, -0.39, -0.39, -0.24, 
##     -0.32, -0.34, -0.35, -0.37, -0.34, -0.39, -0.32, -0.32, -0.32, 
##     -0.37, -0.29, -0.26, -0.27, -0.08, 0.18, 0.29, 0.16, -0.29, 
##     -0.26, -0.11, 0.9, 1.41, 1.01, 1.08, 1.12, -0.24, -0.06, 
##     0.08, 0.05, 0.02, -0.05, 0, -0.06, 0, -0.06, 0, -0.02, 0.11, 
##     0.05, 0.03, 0.03, 0.06, -0.02, 0.05, 0.02, 0, -0.02, 0.06, 
##     0.05, 0, 0.13, -0.14, -0.53, -0.66, -0.64, -1.11, -0.53, 
##     -0.13, 0.08, 0.14, 0.11, 0.14, 1.19, 1.22, 1.41, 0.79, 0.66, 
##     -0.26, -0.37, -0.42, -0.08, -0.1, -0.03, 0.06, 0.13, 0.13, 
##     0.02, 0.02, -0.24, -0.26, -0.31, -0.13, 0, 0.05, -0.21, -0.37, 
##     -0.5, -0.5, -0.18, -0.35, -0.39, -0.18, -0.18, -0.03, 0.13, 
##     0.11, -0.02, -0.19, -0.77, -0.24, -0.05, 0.06, -0.13, -0.5, 
##     -0.5, -0.34, -0.11, -0.11, -0.19, -0.13, -0.1, -0.08, -0.05, 
##     0.1, 0.06, 0.29, -0.11, -0.19, -0.35, 0, 0, -0.32, 0.13, 
##     0.08, 0.06, 0.06, -0.11, -0.05, 0.02, -0.02, -0.11, -0.34, 
##     0.21, 0.27, 0.31, 0.26, 0.16, 0.63, 0.74, 0.16, 0.16, 0.32, 
##     0.32, -0.42, -0.08, 0, 0, -0.29, -0.35, -0.32, 0.42, 0.4, 
##     0.18, 0.31, 0.22, -0.03, 0.03, -0.05, -0.02, 0.08, 0.08, 
##     0.08, 0.13, 0.29, 0.29, 0.31, 0.45, 0.32, 0.11, 0.58, 0.56, 
##     0.32, 0.19, 0.18, 0.47, 0.51, -0.1, -0.24, -0.22, -0.13, 
##     -0.11, 0.13, -0.48, -0.42, -0.88, -0.77, -0.5, 0.18, 0.42, 
##     0.37, 0.19, 0.06, 0.06, -0.1, -0.11, 0.06, 0.1, 0, 0.14, 
##     0.14, 0.21, 0.34, 0.06, 0.14, 0.06, 0.31, 0.32, 0.24, 0.14, 
##     -0.14, -0.19, -0.02, 0.13, 0, 0.47, 0.43, 0.39, 0.51, 0.4, 
##     0.14, 0.02, 0.03, 0.21, 0.39, -0.02, 0, 0.26, -0.58, -0.98, 
##     -1.53, -1.45, 0.71, -0.18, 0.16, 0.42, 0.06, -0.06, -0.19, 
##     -0.5, -0.37, 0.14, 0.24, 0.21, 0.18, -0.02, -0.11, -0.18, 
##     -0.13, -0.03, -0.03, -0.22, -0.31, -0.39, -0.39, -0.05, -0.08, 
##     0.05, 0.08, 0.1, -0.1, -0.22, 0.16, -1.35, 0.37, 0.5, 0.47, 
##     -0.02, -0.22, -0.19, -0.14, -0.56, -0.35, 0.32, 0.22, 0.1, 
##     0.02, 0.08, 0.21, 0.21, 0.16, 0.05, -0.08, -0.06, 0.27, -0.51, 
##     -0.29, -0.14, 0.13, 0.26, -0.43, -1.03, -0.03, 0.72, 0.66, 
##     0.18, -0.06, -0.1, -0.11, 0.35, 0.5, 0.31, 0.35, 0.55, 0.69, 
##     0.75, 0.63, 0.53, 0.47, 0.43, 0.87, -0.08, -0.24, -0.31, 
##     0.32, -0.85, -0.53, -0.27, -0.27, -0.05, 0.26, 0.27, -0.31, 
##     -0.26, 0.11, 0.14, 0.16, 0.13, 0.1, 0.31, 0.58, 0.59, 0.58, 
##     0.5, 0.51, 0.39, 0.35, 0.03, -0.16, -0.1, -0.29, -0.37, -0.43, 
##     -0.47, -0.11, 0.34, 0.35, 0.13, 0.1, 0.1, 0.11, 0.61, 0.71, 
##     0.77, 0.63, 0.43, 0.55, 0.43, 0.95, 0.21, 0.03, 0.08, 0.16, 
##     0.14, 0.11, 0.18, 0.32, 0.31, 0.13, -0.05, -0.22, -0.98, 
##     -0.92, -0.51, -0.19, -0.06, 0.48, 0.34, 0.24, 0.42, 0.34, 
##     0.29, 0.27, 0.24, 0.14, -0.18, -0.13, 0.14, 0.24, 0.08, -0.11, 
##     0.64, 0.21, 0.14, 0.21, 0.26, 0.21, 0.21, 0.34, 0.34, 0.32, 
##     0.43, 0.45, 0.47, 0.27, 0.1, -0.1, -0.32, -0.48, -0.51, -0.55, 
##     0.1, 0.29, 0.02, -0.05, 0.05, 0.19, 0.24, 0.26, 0.18, 0.14, 
##     0.1, 0.11, 0.11, 0.22, 0.56, 0.34, 0.24, 0.21, 0.02, 0.13, 
##     0.18, 0.22, 0.31, 0.37, 0.32, 0.24, 0.22, 0.24, 0.29, 0.35, 
##     0.02, -0.11, -0.31, -0.45, -0.53, -0.64, -0.16, -0.32, -0.19, 
##     0.03, 0.19, 0.31, 0.35, 0.39, 0.35, 0.37, 0.4, 0.34, 0.22, 
##     0.35, 0.35, 0.26, 0.11, 0.08, 0.08, 0.31, 0.31, 0.11, 0.18, 
##     0.29, 0.34, 0.11, 0.29, 0.26, 0.14, 0.11, 0.19, 0.21, -0.4, 
##     0.08, 0.24, -0.47, -0.56, -0.37, -0.26, -0.19, -0.13, 0.24, 
##     0.42, -0.08, -0.24, -0.11, 0.39, 0.34, 0.37, 0.37, 0.22, 
##     0.06, 0.16, 0.19, 0.21, 0.26, 0.05, -0.13, -0.34, 0.43, 0.31, 
##     0.18, -0.03, -0.06, -0.18, 0.05, 0.32, 0.5, 0.42, 0.29, 0.21, 
##     0.13, 0.05, 0.08, 0.08, 0.35, 0.11, 0.05, 0.05, -0.1, -0.24, 
##     -0.37, -0.51, 0.14, 0.14, 0.18, 0.14, 0.18, 0, 0.06, 0.16, 
##     -0.13, -0.22, -0.56, 0.03, 0.32, 0.29, 0.29, 0.45, 0.29, 
##     0.35, -0.02, -0.06, 0.75, -0.45, -0.26, -0.32, -0.43, -0.43, 
##     -0.35, -0.5, -0.51, -0.47, -0.34, -0.32, -0.31, -0.22, -0.19, 
##     -0.13, -0.03, -0.26, -0.27, -0.32, -0.13, -0.14, 0.34, 0.24, 
##     0.22, 0.42, 0.4, 0.14, 0.24, 0.29, 0.34, 0.35, 0.11, -0.18, 
##     -0.19, -0.19, -0.39, -0.45, -0.51, -0.47, -0.39, -0.39, -0.42, 
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##     0.05, 0.18, 0.18, 0.1, 0.11, 0.1, 0.08, 0.06, 0.08, 0.16, 
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##     0.16, -0.02, -0.05, -0.14, -0.56, -0.63, 0.87, 1.04, 0.74, 
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##     -0.58, -0.03, 0.22, 0, 0.29, 0.47, 0.42, 0.75, 0.87, 0.18, 
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##     -0.72, -0.51, 0.82, 0.75, 0.74, 0.69, 0.34, -0.03, -0.16, 
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##     0.03, 0.1, 0.71, 0.45, 0.48, 0.64, 0.53, -0.37, -0.02, -0.02, 
##     -0.11, -0.29, -0.79, -0.79, -0.29, -0.55, -0.77, -0.21, -0.13, 
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##     0.06, 0.14, 0.05, 0.06, 0.03, 0.02, -0.05, 0.03, 0.1, 0.02, 
##     0, 0.05, 0.05, 0.06, -0.03, 0.02, 0, 0.03, 0.02, -0.03, 0, 
##     0.03, 0.03, 0.06, 0.03, 0.05, 0.03, 0, 0.02, 0, 0.02, 0.02, 
##     0.03, 0.08, 0.08, 0, 0.02, -0.03, -0.05, 0.02, 0, 0.03, 0.03, 
##     0.05, 0.08, 0.02, 0, -0.03, 0, 0.05, 0.11, 0.03, 0.11, 0.11, 
##     0.11, 0.06, -0.13, -0.02, 0.05, 0.05, 0.03, 0, 0.03, 0.02, 
##     0.05, 0, 0.02, 0.1, 0.11, 0.1, 0.02, -0.03, -0.02, 1, 0.95, 
##     0.8, 0.64, 0.85, 0.77, 0.71, 0.69, 0.47, 0.75, 0.77, 0.88, 
##     0.96, 0.92, 0.71, 0.75, 0.59, 0.59, 0.85, 0.93, 0.77, 0.75, 
##     0.83, 0.92, 1.12, 1.06, 0.98, 0.95, 0.82, 0.96, 1.08, 0.82, 
##     0.95, 1.04, 1, 0.92, 0.96, 1, 0.98, 1, 0.87, 0.82, 0.69, 
##     0.64, 0.72, 0.69, 0.64, 0.56, 0.48, 1.32, 1.27, 1.25, 1.16, 
##     1.12, 1.08, 1.14, 1.04, 1.08, 0.96, 0.9, 1.14, 1.11, 0.64, 
##     0.72, 0.74, 0.61, 0.5, 0.45, 0.42, 0.39, 0.64, 1.01, 1.04, 
##     0.87, 0.71, 0.8, 1.62, 1.54, 1.46, 1.22, 0.87, 0.96, 1, 1.03, 
##     0.98, 0.74, 0.71, 0.67, 0.74, 0.95, 1.03, 1.01, 0.92, 1, 
##     1.14, 1.06, 1.03, 1.14, 1.14, 1.17, 1.17, 1.16, 1.16, 1.19, 
##     1.09, 1, 1.06, 0.92, 0.96, 0.88, 0.87, 0.74, 0.75, 0.47, 
##     0.58, 0.79, 0.9, 0.79, 0.85, 0.93, 0.9, 1.09, 1.04, 1.11, 
##     1.04, 1.06, 1.14, 1.11, 1.16, 1.28, 1.19, 1.09, 1.01, 0.98, 
##     1.06, 1.01, 0.88, 0.93, 0.96, 1, 1.01, 0.74, 0.64, 0.53, 
##     0.96, 0.98, 1.01, 1.09, 1.09, 0.96, 1.33, 1.32, 1.38, 1.14, 
##     0.9, 0.98, 1.16, 0.96, 0.88, 0.85, 0.85, 1.06, 0.98, 0.92, 
##     0.85, 0.88, 1.01, 0.74, 0.93, 0.72, 0.87, 1.22, 1.06, 0.98, 
##     1.09, 1.09, 1.2, 1.08, 1.14, 1.28, 1.16, 1.01, 1.14, 1.19, 
##     1.24, 1.17, 1.08, 1.06, 1.04, 1.32, 0.9, 1.03, 0.98, 0.96, 
##     0.98, 1.01, 1.09, 1.08, 1.04, 1.04, 1, 1, 0.95, 0.83, 1.04, 
##     0.88, 0.77, 0.96, 0.98, 1.01, 1.11, 1.03, 1.28, 1.27, 1.35, 
##     1.28, 1.22, 1.22, 1.14, 0.98, 1.09, 1.08, 1.14, 1.16, 1.11, 
##     1.12, 0.93, 0.92, 0.87, 0.92, 1.04, 1.06, 0.98, 1.03, 1.04, 
##     1, 0.96, 0.95, 1.03, 0.95, 0.9, 0.88, 0.88, 0.98, 1.01, 0.82, 
##     0.82, 0.83, 0.92, 1.01, 0.92, 0.95, 1.01, 1.09, 0.95, 1.49, 
##     1.4, 1.54, 1.61, 1.53, 1.53, 1.33, 1.09, 1.01, 0.8, 1.14, 
##     1.11, 1.11, 1.22, 1.41, 1.33, 1.27, 1.33, 1.28, 1.49, 1.45, 
##     1.28, 1.14, 1.09, 1.12, 1.04, 1.09, 0.85, 0.83, 0.87, 0.93, 
##     1.09, 0.77, 0.71, 0.69, 0.77, 0.79, 0.95, 1.01, 1.08, 1.54, 
##     1.49, 1.53, 0.16, 0.71, 0.79, 0.13, 0.39, 0.21, 0.18, 0.18, 
##     0.24, -0.22, 0.08, -0.31, -0.32, -0.19, -0.53, 0.1, 0.11, 
##     0.14, 0.19, 0.13, 0.16, 0.26, 0.51, 0.5, 0.26, 0.26, 0.4, 
##     0.48, 0.51, 0.55, 0.55, -0.13, -0.08, 0.02, -0.1, -0.43, 
##     -0.16, -0.32, -0.45, -0.56, -0.31, -0.24, -0.14, -0.29, -0.31, 
##     -0.18, -0.56, -0.59, -0.5, -0.48, -0.05, -0.11, 0, 0.13, 
##     0.24, 0.31, 0.21, 0.22, 0.29, 0.27, 0.5, 0.48, 0.21, 0.06, 
##     0.06, 0.27, 0.43, 0.45, 0.35, 0.37, 0.11, 0.19, 0.24, 0.22, 
##     0.03, -0.02, -0.1, -0.21, -0.27, -0.18, -0.08, -0.1, -0.43, 
##     -0.48, 0.02, 0.08, 0.16, 0.26, 0.08, 0.06, 0.53, 0.14, -0.08, 
##     -0.24, -0.29, -0.1, 0.05, 0.14, 0.34, 0.37, 0.35, 0.27, 0.03, 
##     -0.02, 0, -0.02, -0.27, -0.48, -0.19, 0.24, 0.61, 0.61, 0.71, 
##     0.22, 0.34, 0.42, 0.5, 0.59, 0.39, 0.39, -0.16, -0.21, -0.16, 
##     -0.26, -0.18, 0.03, 0.45, 0.08, -0.16, 0.13, 0.66, 0.61, 
##     0.64, 0.27, -0.35, -0.27, -0.31, -0.32, -0.32, -0.19, -0.18, 
##     -0.02, 0.31, 0.31, 0.26, 0.22, 0.18, -0.03, -0.14, -0.26, 
##     -0.24, -0.05, 0, 0, 0, -0.08, -0.1, -0.31, -0.39, -0.42, 
##     -0.55, -0.45, 0.22, 0.13, -0.19, -0.05, 0.35, 0.61, 0.24, 
##     0.06, -0.02, -0.24, -0.37, -0.34, -0.35, -0.48, -0.61, -0.51, 
##     -0.56, -0.31, -0.27, -0.27, -0.02, -0.05, -0.1, -0.02, 0.39, 
##     0.32, 0.14, 0.21, 0.21, -0.37, -0.37, -0.35, 0, 0.03, 0.1, 
##     -0.27, -0.14, -0.22, -0.79, -0.61, -0.26, -0.16, 0.11, -0.14, 
##     -0.32, -0.13, -0.06, -0.11, -0.08, -0.05, 0, -0.64, -0.67, 
##     -0.69, -0.67, -0.47, -0.39, -0.35, -0.5, -0.39, -0.37, -0.26, 
##     -0.32, -0.45, -0.18, -0.08, -0.18, 0.05, 0.02, -0.08, 0.05, 
##     0.05, 0.03, 0.06, 0.08, 0, 0, -0.19, -0.03, -0.21, -0.24, 
##     -0.19, -0.31, -0.39, -0.66, -0.4, -0.18, 0.16, 0.24, -0.02, 
##     -0.02, 0.05, -0.02, -0.26, -0.4, -0.16, -0.03, 0.39, -0.14, 
##     -0.06, 0.1, 0.42, 0.53, 0.39, 0.37, 0.35, -0.05, -0.31, -0.79, 
##     -0.67, -0.67, -0.43, -0.43, -0.58, -0.19, -0.18, -0.43, -0.4, 
##     -0.13, -0.27, -0.53, -0.47, -0.31, -0.61, -0.69, -0.43, -0.43, 
##     -0.35, -0.37, -0.29, -0.11, -0.16, 0.03, 0.18, 0.26, 0.64, 
##     0.55, 0.35, 0.05, -0.27, -0.45, -0.74, -0.77, -0.67, -0.48, 
##     -0.13, -0.1, -0.03, -0.24, -0.37, -0.51, -0.16, -0.08, 0, 
##     -0.02, -0.24, -0.45, -0.74, -0.93, -0.96, -0.1, -0.03, 0.02, 
##     0.03, 0, -0.05, -0.18, 0, -0.14, -0.16, -0.16, 0.42, 0.37, 
##     0.37, 0.39, 0.43, 0.02, -0.16, -0.37, -0.5, -0.31, -0.37, 
##     -0.45, -0.34, -0.24, 0.21, -0.11, -0.31, -0.45, -0.53, -0.22, 
##     0.13, 0.05, -0.11, -0.24, 0.59, 0.53, -0.1, -0.18, 0.43, 
##     0.18, -0.34, -0.47, -0.34, -0.22, -0.1, 0.47, 0.24, 0.08, 
##     0.22, -0.24, -0.4, -0.51, -0.1, 0.05, -0.16, 0.43, 0.58, 
##     0.39, 0.35, 0.37, 0.42, 0.27, 0.13, 0.16, 0.16, 0.19, 0.63, 
##     -0.32, -0.67, 0.35, 0.06, 0.02, -0.06, -0.16, -0.13, -0.26, 
##     -0.34, -0.48, -0.11, -0.34, -0.24, -0.13, -0.22, 0, 0.56, 
##     0.67, 0.34, 0.05, -0.22, -0.58, -0.56, -0.45, 0.55, 0.64, 
##     0.56, 0.34, 0.14, -0.58, -0.42, 0.26, 0.22, -0.21, -0.03, 
##     0.02, -0.02, -0.05, -0.13, -0.26, 0.05, -0.06, 0.14, -0.02, 
##     -0.05, -0.24, -0.37, -0.48, 0.02, 0.08, 0.21, 0.48, 0.96, 
##     0.8, 0.75, 0.71, -0.11, -0.05, 0.26, 0.45, 0.56, 0.67, 0.61, 
##     0.87, 0.31, -0.42, -0.45, -0.48, -0.1, -0.13, -0.22, -0.35, 
##     -0.35, -0.1, 1.32, 1.11, 1.04, 1.01, 0.8, 0.51, 0.31, 0.21, 
##     0.14, -0.35, -0.27, -0.14, -0.14, -0.27, -0.14, 0.19, 0.35, 
##     0.63, 0.67, 0.29, 0.37, 0.55, 0.34, 1.27, 1.3, 1.32, 1.32, 
##     1.25, 1.43, 1.28, 1.22, 1.16, 1.24, 1.27, 1.38, 1.33, 1.4, 
##     1.56, 1.65, 1.61, 1.54, 1.03, 0.96, 0.75, 0.77, 0.71, 0.67, 
##     0.56, 0.5, 0.43, 0.32, 0.06, -0.43, -0.13, -0.1, -0.05, 0.06, 
##     0.5, 0.18, 0.53, 0.42, 1.17, 1.28, 1.38, 1.62, 1.7, 1.72, 
##     1.49, 1.49, 1.48, 1.67, 1.67, 1.61, 1.4, 1.43, 1.41, 1.33, 
##     1.24, 1.25, 1.27, 1.36, 1.49, 1.62, 1.46, 1.22, 1.19, 1.06, 
##     0.82, 0.74, 0.66, 0.59, 0.55, 0.43, 0.37, 0.39, 1.32, 1.17, 
##     1.08, 1.2, 1.25, 1.48, -0.1, 0.18, 0.55, 0.71, 0.5, 0, 0.02, 
##     0.02, 0.06, 0.11, 0.02, -0.18, -0.13, -0.05, -0.1, -0.03, 
##     0.05, 0.05, 0.06, 0.03, 0.1, 0.11, 0.13, 0.13, 0.08, 0.13, 
##     0.08, 0.08, 0.1, 0.16, 0.22, 0.22, 0.05, -0.08, 0.26, 0.51, 
##     0.03, -0.19, -0.43, 0.19, 0.39, 0.35, 0.29, 0.03, -0.59, 
##     -0.77, -0.63, 0.11, 0.05, 0, 0.1, 0.03, -0.27, -0.32, -0.32, 
##     -0.37, -1.48, -0.98, -0.43, 0.69, 0.98, -0.06, 0.22, 0.45, 
##     0.53, 0.14, 0.1, 0.48, 0.29, -0.11, -0.18, 0.08, 0.18, 0.27, 
##     0.4, -0.35, -1.24, 0.79, 0.27, 0.06, 0, 0, -0.02, -0.19, 
##     -0.29, -0.29, -0.06, -0.13, -0.14, -0.32, -0.39, -0.27, -0.19, 
##     0.32, 0.63, 0.43, 0.06, 0.02, -0.02, -0.53, 0, 0.48, -0.1, 
##     -0.11, 0.34, -0.24, -0.88, 0.85, 0.67, -0.03, -0.14, -0.42, 
##     -0.71, -0.85, -0.55, -0.58, -0.35, -0.53, -0.27, -0.22, -0.21, 
##     -0.03, -0.14, 0.19, 0.26, -0.02, -0.1, 0.22, 0.02, -0.02, 
##     -0.37, -0.43, -0.67, -1, -0.59, 0.26, 0.82, 0.59, 0.19, -0.06, 
##     -0.31, -0.45, -0.42, -0.43, -0.45, 0.43, -0.16, -0.47, -0.79, 
##     0.18, 0.21, 0.14, 0.1, 0.03, -0.05, -0.14, -0.5, -0.55, -0.51, 
##     -0.53, -0.72, -0.22, -0.03, -0.02, 0.16, 0.18, 0.11, -0.06, 
##     0.14, -0.26, -0.11, 0, -0.1, -0.02, 0.13, -0.02, -0.37, -0.51, 
##     0.27, 0.42, 0.02, 0.24, 0.11, -0.18, -0.24, -0.32, 0.02, 
##     0.06, -0.05, -0.59, -0.59, -0.77, -0.95, -0.77, 0.66, 0.55, 
##     -0.31, -0.42, -0.31, -0.06, 0.29, 0.42, 0.66, 0.48, -0.69, 
##     -0.48, -0.14, -0.27, -0.19, -0.03, 0.14, -0.31, -0.26, -0.02, 
##     0.11, 0.32, 0.35, 0, -0.27, 0.34, 0.39, -0.59, -0.42, -0.22, 
##     -0.02, 0.24, 0.03, -0.06, -0.42, -0.61, -0.66, -0.61, -0.53, 
##     -0.5, -0.42, -0.48, -0.21, -0.18, -0.5, -0.24, -0.19, -0.16, 
##     -0.34, -0.4, -0.13, -0.18, -0.21, -0.18, -0.14, -0.06, -0.1, 
##     -0.11, -0.11, 0.03, 0.06, 0.03, 0.08, 0.05, 0.05, 0.05, -0.1, 
##     -0.08, -0.02, 0.03, -0.18, -0.42, -0.42, 0.14, 0.11, 0.16, 
##     0.21, 0.19, -0.03, -0.02, 0, -0.02, -0.22, -0.22, -0.22, 
##     -0.18, -0.13, 0.19, -0.05, 0.24, 0.55, -0.1, 0.19, 0.14, 
##     0.16, 0.16, 0.14, 0.13, 0.29, 0.24, 0.24, -0.11, 0.03, -0.61, 
##     -0.58, -0.59, -0.14, -0.45, -0.45, -0.48, -0.1, 0.13, -0.18, 
##     0.31, -0.39, -0.59, -0.45, 0.18, 0.26, 0.34, 0.34, 0.48, 
##     0.1, 0.03, 0.34, 0.37, 0.59, 0.64, 0.8, 1.41, 1.3, 0.98, 
##     1.14, 1.19, -1.38, -1.3, -1.22, -0.9, -1.25, -1.65, -2.06, 
##     0.03, -0.18, -0.72, -0.66, -0.32, -0.14, 0.43, 0.83, 0.74, 
##     0.16, 0.31, 0.37, 0.58, 1.22, 1.53, 1.12, 0.98, 1.16, -0.18, 
##     -0.83, -0.85, -1.59, -1.14, -0.67, -0.71, -0.85, -0.51, -0.48, 
##     -0.06, -0.1, -0.02, 0.1, 0.32, 0.22, 0.18, 0.14, 0.27, 0.29, 
##     0.22, 0.22, 0.29, 0.34, 0.39, 0.03, 0.08, 0.08, 0.22, 0.24, 
##     0.19, 0.37, 0.1, -0.29, 0.05, 0, -0.58, -0.72, 0.11, 0.29, 
##     0.21, 0.1, -0.56, -0.61, -0.45, -0.37, -0.11, 0.08, 0.06, 
##     0.02, 0.14, 0.14, 0.24, -0.08, -0.18, -0.13, 0.02, 0.24, 
##     0.48, 0.35, -0.29, 0.05, 0.06, -0.34, -0.31, -0.24, -0.18, 
##     0.05, 0.03, -0.16, -0.27, -0.06, -0.32, -0.56, -0.31, -0.43, 
##     0.02, 0.13, -0.06, -0.47, -0.47, -0.24, -0.16, -0.13, -0.22, 
##     -0.45, -0.27, -0.16, -0.16, -0.22, 0.14, 0.29, 0.08, -0.02, 
##     -0.11, 0, 0.05, -0.03, -0.05, -0.27, -0.06, 0.34, 0.47, 0.47, 
##     0.59, 0.69, 0.77, 0.83, 0.85, 0.82, 0.69, 0.85, 0.87, 0.77, 
##     0.55, 0.47, 0.24, 0.14, -0.14, -0.24, -0.21, -0.19, -0.24, 
##     -0.35, -0.39, -0.4, -0.58, -0.63, -0.34, -0.45, -0.58, -0.59, 
##     -0.69, -0.37, -0.5, 0.22, 0.34, 0.35, 0.29, 0.19, 0.18, 0.14, 
##     0.37, 0.59, 0.22, 0, 0.64, 0.87, 0.93, 0.51, 0.37, 0.55, 
##     0.4, 0.24, 0, -0.22, -0.24, -0.31, -0.32, -0.34, -0.58, -0.47, 
##     -0.59, -0.45, -0.26, -0.21, -0.14, 0.1, 0.21, 0.45, 0.37, 
##     0.37, 0.4, 0.29, 0.59, 0.67, 0.82, 0.88, 0.87, 0.79, 0.43, 
##     -0.29, -0.24, -0.24, -0.35, -0.4, -0.42, -0.48, -0.59, -0.51, 
##     -0.51, -0.42, -0.51, -0.18, -0.1, -0.18, 0.05, 0.11, 0.19, 
##     -0.14, -0.14, 0.55, 0.83, 0.56, 0.27, 0.19, 0.93, 1.69, 1.4, 
##     1.14, 0.95, 0.24, 0.34, 0.05, -0.11, -0.29, -0.37, -0.43, 
##     -0.39, -0.19, -0.18, -0.02, 0.14, 0.06, -0.75, -0.71, -0.77, 
##     -0.5, -0.47, -0.58, -0.55, -0.34, -0.4, -0.55, 0.05, 0.18, 
##     0.29, 0.31, 0.35, 0.55, 0.21, -0.08, -0.37, -0.53, 0.02, 
##     1.22, 1.46, 1.4, 0.64, -0.13, -0.02, 0.4, 0.35, 0.27, 0.18, 
##     0.05, -0.18, -0.13, -0.11, -0.11, -0.16, -0.35, -0.51, -0.53, 
##     -0.56, -0.66, -0.72, -0.69, -0.22, 0.29, 0.37, 0.4, -0.03, 
##     -0.29, 0.63, 1.53, 1.62, 0.72, 0.72, 0.63, 0.59, 0.24, 0.21, 
##     0.24, 0.53, 0.43, 0.39, 0.32, -0.05, -0.03, -0.03, -0.35, 
##     -0.51, -0.56, -0.58, -0.32, -0.05, -0.66, -0.82, -0.69, -0.61, 
##     -0.5, -0.14, 0.08, -0.02, -0.39, -0.72, -0.16, 0.51, 0.58, 
##     0.32, 0.11, -0.1, -0.14, 0.06, 0.16, 0.39, 0.48, 0.63, 0.64, 
##     0.55, 0.35, 0.21, 0.43, 0.53, 0.8, 0.08, -0.18, -0.21, -0.19, 
##     -0.13, -0.42, -0.48, -0.67, -0.87, -0.66, -0.67, -0.66, -0.37, 
##     -0.35, -0.24, -0.27, -0.24, -0.19, -0.21, -0.27, -0.1, -0.05, 
##     0, 0.06, 0.96, 0.96, 0.96, 0.21, -0.42, 0.56, 0.5, 0.43, 
##     0.24, 0.11, 0.13, 0.35, 0.31, 0.26, -0.31, -0.34, -0.35, 
##     -0.37, -0.56, -0.61, -0.66, -0.67, -0.63, -0.5, -0.67, -0.1, 
##     -0.18, -0.56, -0.26, 0, -0.06, -0.48, -0.08, 0.02, 0.35, 
##     0.74, 0.75, 0.4, 0.27, 0.18, 0.1, 0.67, 0.75, 1.41, 0.58, 
##     0.03, -0.22, 0.67, -0.13, -0.4, -0.34, -0.47, -0.48, -0.53, 
##     -0.72, -0.56, -0.48, -0.24, -0.27, -0.67, -0.98, -0.21, -0.21, 
##     -0.27, -0.29, -0.19, -0.11, -0.1, -0.18, -0.18, 0.32, 0.1, 
##     -0.37, -0.59, -0.58, -0.53, -0.4, -0.31, -0.31, -0.34, -0.34, 
##     -0.39, -0.42, -0.43, -0.22, -0.08, -0.06, -0.06, -0.08, 0.03, 
##     0.08, 0.14, 0.24, 0.48, -0.03, -0.19, 0.06, 0.1, 0.11, -0.14, 
##     0.16, 0.1, 0, -0.11, -0.4, -0.16, -0.18, -0.35, -0.34, -0.05, 
##     -0.53, -0.64, -0.56, -0.5, 0.08, -0.55, -0.47, -0.26, 0.1, 
##     -0.08, -0.27, -0.26, -0.26, -0.37, -0.1, -0.27, -0.02, -0.1, 
##     -0.35, -0.37, -0.06, -0.1, -0.14, -0.4, -0.42, -0.48, -0.51, 
##     -0.56, -0.43, -0.27, -0.18, -0.13, -0.22, -0.34, -0.34, -0.34, 
##     -0.06, 0.08, 0.02, 0.11, 0.14, -0.13, -0.21, -0.16, -0.02, 
##     -0.92, -0.53, -0.26, -0.1, -0.35, -0.19, -0.08, 0.08, 0.03, 
##     -0.18, -0.26, -0.42, 0, -0.26, -0.27, -0.32, -0.18, -0.08, 
##     0.11, 0.11, 0.02, -0.1, -0.08, -0.56, -0.29, -0.31, -0.69, 
##     0.11, -0.18, 0.14, 0.18, 0.21, 0.16, 0.16, 0.22, 0.14, 0.1, 
##     0.06, -0.03, 0.08, -0.05, -0.21, -0.24, -0.24, -0.39, -1, 
##     -1.24, -1.28, -1.22, -1.11, -0.85, -0.47, -0.32, 0, -0.29, 
##     -0.72, -0.64, 0.21, 0.4, 0.22, 0.16, 0, -0.27, -0.11, 0.03, 
##     0.27, 0.35, 0.22, 0.03, -0.37, -0.66, 0, -0.14, -0.21, -0.39, 
##     -0.39, -0.32, -0.47, -0.95, -1.3, -1.4, -1.24, -0.71, -0.5, 
##     -0.4, -0.21, -0.13, 0.53, 0.53, 0.5, 0.53, 0.5, 0.5, 0.13, 
##     0.26, 0.31, 0.35, 0.31, -0.06, -0.06, -0.11, -0.14, -0.26, 
##     -0.26, -0.19, -0.19, -0.32, -0.47, -1.11, -1.22, -0.85, -0.69, 
##     -0.29, -0.42, -0.22, 0.21, 0.4, 0.45, 0.43, 0.16, -0.61, 
##     -0.59, -0.32, -0.16, -0.11, -0.26, -0.55, -1.04, -1.41, -2.52, 
##     -2.7, -2.84, -2.65, -2.2, -2.1, -1.83, -1.33, -0.32, -0.02, 
##     0.21, 0.24, 0.21, -0.24, -0.39, -0.31, -0.19, -0.14, -0.27, 
##     -0.27, -0.22, -0.19, -0.19, -0.21, -0.19, -0.19, -0.19, -0.18, 
##     -0.18, -0.16, 0.79, 1.01, 1.11, 0.88, 0.67, 0.51, 0.26, -0.03, 
##     0.05, 0.03, 0.02, 0.02, -0.03, 0.03, 0.03, 0.06, 0.02, 0.03, 
##     0.03, 0.02, 0.02, 0.06, -0.19, -0.21, -0.05, -0.13, -0.13, 
##     0.05, 0.02, -0.05, 0.05, 0.22, 1.09, 1.03, 0.69, 0.63, 0.77, 
##     0.67, 0.27, -0.31, -0.92, -1.16, -1.06, -1.51, -1.64, -1.43, 
##     -1.64, -0.77, -0.71, -0.55, 1.04, 1.17, 1.17, 1.3, 0.93, 
##     0.93, 1.12, 0.96, 0.82, 0.71, 0.42, 0.5, 0.48, 0.31, -0.47, 
##     -0.51, -0.45, -1.27, -1.19, -1.35, -1.69, -1.86, -0.75, 0.5, 
##     0.82, 1.36, 1.19, 0.9, 1.01, 0.21, 0.16, 0.08, -0.11, -1.03, 
##     -1.3, -1.25, -1.49, -1.24, -1.12, -0.9, -0.9, -0.9, -1.03, 
##     -0.59, -0.66, 0.27, 0.48, 1.14, 1.35, 1.35, 1.24, 1.17, 1, 
##     0.93, 0.92, 1.08, 1.06, 1.04, 0.77, 1.11, -0.37, -0.37, -0.61, 
##     -1.2, -1.4, -1.22, -1.01, -1.08, -1.59, -1.09, 0.05, 1.09, 
##     1.16, 1.32, 0.58, 0.5, 0.34, 0.31, 0.39, 0.45, 0.34, 0, -1.03, 
##     -0.58, -1.17, -0.8, -0.98, -0.82, -0.63, -1.56, -0.35, -0.14, 
##     0.55, 0.85, 1.4, 1.35, 1.35, 1.2, 1.04, 1.06, 1.25, 1.2, 
##     0.92, 0.79, 0.79, 0.58, 0.22, -0.03, -0.14, -0.24, -0.19, 
##     -0.88, -1.43, -1.38, -1.54, -1.12, -1.19, -1.17, -0.47, 0.24, 
##     1.19, 1.06, 0.9, 0.82, 0.69, 0.24, 0.08, -0.18, -0.64, -0.85, 
##     -1.73, -1.32, -1.14, -1.09, -1.22, -0.88, -0.26, 0.92, -1.86, 
##     -1.45, -0.56, -0.26, 0.45, 0.66, 1.03, 1.27, 1.43, 1.56, 
##     1.24, 1.24, 1.22, 1.17, 1.14, 0.14, 0.43, -0.21, -0.5, -0.9, 
##     -1.01, -1.03, -1.33, -0.75, -0.83, -1.03, -1.61, -1.16, -1.4, 
##     -1.14, -1.12, -1.16, -0.27, 0.02, 0.39, 0.63, 0.64, 0.24, 
##     -0.02, 0.03, -0.02, -0.03, -0.05, 0.05, 0.1, 0.1, 0.1, 0.05, 
##     0.11, 0.02, 0, 0.1, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, 
##     -0.03, 0.03, 0, -0.02, -0.02, -0.06, -0.08, -0.02, 1.33, 
##     1.3, 1.19, 0.96, 0.79, 0.71, 0.92, 1.17, 1.17, 0.87, 0.9, 
##     1.11, 1.09, 1.01, 1.04, 1.01, 0.98, 0.98, 0.98, 1.03, 1.11, 
##     1.08, 1.01, 1.16, 0.83, 0.95, 1.06, 1.04, 0.98, 0.92, 1.03, 
##     1.12, 1.09, 1.08, 1.01, 1.01, 1.01, 1.01, 1.01, 0.96, 1.01, 
##     1.16, 1.17, 1.12, 0.98, 0.96, 0.9, 1.04, 1.12, 1.09, 1.08, 
##     0.95, 0.92, 0.95, 0.74, 0.74, 0.75, 0.8, 0.74, 0.85, 0.82, 
##     0.9, 1, 0.75, 0.75, 0.79, 0.83, 1, 1.06, 1.08, 1.01, 1.01, 
##     1.03, 1, 1, 1, 1.11, 1.17, 1.19, 0.98, 1.16, 0.85, 0.88, 
##     0.95, 0.96, 0.98, 0.92, 0.92, 1, 0.93, 0.77, 0.72, 0.9, 0.93, 
##     0.98, 1.03, 1.09, 1.16, 0.96, 0.98, 1.04, 1.06, 1.17, 1.36, 
##     1.27, 1.12, 1.01, 0.98, 1.09, 1.16, 1.06, 1, 0.98, 0.96, 
##     1.08, 0.93, 1, 1.09, 1.11, 1.09, 0.82, 0.82, 0.96, 0.9, 0.85, 
##     0.8, 0.74, 0.71, 0.66, 0.63, 0.87, 0.8, 0.8, 0.88, 1.36, 
##     1.22, 0.92, 1.06, 1.11, 1.08, 1.12, 1.19, 0.93, 0.9, 1.01, 
##     0.92, 1.06, 1.08, 0.69, 0.66, 0.85, 0.96, 0.8, 0.53, 0.87, 
##     1.19, 0.92, 0.92, 1.12, 1.16, 1.03, 0.98, 0.98, 1.01, 1.06, 
##     1.11, 1.09, 0.92, 0.79, 0.87, 0.85, 0.96, 0.95, 0.9, 0.92, 
##     0.95, 0.96, 0.98, 0.98, 0.98, 0.9, 0.53, 0.24, -0.29, -0.5, 
##     -0.66, -0.63, 0.11, 0.56, 1.04, 1.09, 1.17, 1.09, 0.95, 0.82, 
##     0.69, 0.79, 0.87, 1.08, 1.11, 1.12, 1.14, 1.12, 0.93, 0.92, 
##     1, 1.2, 1.14, 1.09, 1.01, 0.96, 0.95, 0.9, 0.88, 0.83, 0.85, 
##     0.88, 0.95, 1, 1.01, 0.93, 0.9, 0.9, 0.9, 0.93, 1.06, 1.11, 
##     1.12, 1.22, 1.2, 1.17, 1.14, 1.09, 1.08, 1, 0.98, 1.01, 0.95, 
##     0.82, 1.08, 1.41, 1.41, 1.11, 1.01, 1.06, 1.03, 1.16, 1.24, 
##     1.41, 1.48, 1.54, 1.45, 1.4, 1.06, 0.98, 0.79, 0.79, 0.64, 
##     0.55, 0.37, 0.29, 0.43, 1.59, 2.09, 2.38, 1.72, 1.36, 1.11, 
##     1.22, 0.27, 0.43, 0.47, 0.37, 0.4, 0.35, 0.5, 0.32, 0.47, 
##     0.59, 0.59, 0.85, 0.96, 0.98, 1.03, 1.03, 0.96, 0.98, 0.98, 
##     1.04, 1.3, 1.43, 1.45, 1.41, 1.43, 1.35, 1.12, 1.04, 1.06, 
##     1.12, 1.08, 1.03, 1.04, 1.16, 0.92, 0.85, 1.01, 1.03, 0.92, 
##     0.69, 1.27, 0.9, 0.98, -1.06, -1.27, -1.38, -1.2, -0.87, 
##     -0.59, -0.26, -0.43, -0.22, -0.35, 0.34, 0.19, 0.13, 0.85, 
##     -0.75, -0.69, -0.61, 0.31, 0.39, 0.4, 0.13, 0.42, 0.55, 0.88, 
##     0.92, 1, 1.04, 0.95, 1.04, 1.12, 1.16, 1.09, 1.08, 0.98, 
##     1.06, -0.75, -0.93, -1, -1.04, -0.22, -0.27, -1.14, -0.22, 
##     -0.16, 0.35, 0.5, 0.63, 0.98, 0.61, 0.18, 0.34, 0.59, 0.35, 
##     0.22, 0.35, 0.85, 1.48, 0.16, -1.19, -1.56, -1.78, -1.93, 
##     -1.27, 0.16, 0.69, 0.18, -0.96, -1.27, -1.03, -0.19, 0.47, 
##     0.4, 0.27, -0.67, -0.56, -0.42, -0.67, -0.63, 0.27, 0.39, 
##     1.08, 1.04, 0.06, 0.31, 0.77, 0.88, 0.85, 0.16, 0.1, -0.64, 
##     -1.27, -1.27, 0.21, 0.69, 0.92, 1.11, 0.72, 0.5, 0.39, 0.08, 
##     0.16, 0.29, 0.35, 0.48, 0.74, 0.55, 0.53, 0.59, 1.03, 1.09, 
##     1.16, 0.96, 0.4, -0.9, -0.82, -0.88, -1.25, -0.47, 0.13, 
##     -0.77, -0.63, -1.19, -0.83, -1.57, -1.56, 0.02, 0.24, 0.24, 
##     0.32, 0.32, -0.03, -0.26, -0.02, 0.08, 0.31, 0.18, 0.08, 
##     0.03, -0.24, -0.19, -0.06, 0, 0.14, 0.08, 0.02, 0.1, -0.08, 
##     -0.08, -0.11, -0.1, -0.03, 0, 0, 0.03, 0.08, 0.11, 0.18, 
##     0.21, 0.21, 0.16, 0.02, -0.1, -0.05, -0.1, -0.03, 0.05, 0.1, 
##     0.03, -0.06, 0.18, 0.13, 0.13, 0.1, -0.03, -0.1, -0.64, -0.61, 
##     -0.5, -0.24, -1.32, -0.63, -0.77, -0.48, -0.59, -0.61, -0.5, 
##     -0.22, 0, 0.27, -0.56, -0.63, -0.56, -0.14, -0.27, -0.26, 
##     -0.19, -0.08, -0.06, -0.02, 0.02, 0.02, 0.05, 0.03, -0.03, 
##     -0.02, 0, -0.02, -0.06, 0.03, 0.13, 0.47, 0.72, 0.79, 0.82, 
##     0.98, 1, 0.74, 0.69, 0.71, 0.58, 0.42, 0.32, -0.19, 1.12, 
##     1.38, 1.54, 1.53, 1.45, 1.4, 1.4, 1.48, 1.35, 1.08, 0.85, 
##     0.47, 0.4, -0.03, -1.12, -1.67, -1.7, -1.78, -1.38, -0.42, 
##     -0.35, -0.42, -0.5, 0, 0.05, 0.26, 0.24, 0.24, 0.14, 0.14, 
##     0.1, 0.05, 0.03, -0.21, -0.19, -0.21, -0.21, -0.21, -0.21, 
##     -0.21, -0.21, -0.19, -0.19, -0.18, -0.19, -0.21, -0.21, -0.85, 
##     -1.25, -0.8, -0.08, 0.34, 0.26, 0.22, 0.27, 0.05, 0.14, 0.29, 
##     0.22, 0.14, 0.08, 0.05, 0.03, -0.06, -0.05, -0.03, -0.24, 
##     -0.34, -0.48, -0.58, -0.64, -0.45, -0.21, -0.13, 0, -0.02, 
##     -0.05, -0.61, -1.17, -0.22, 0.13, -0.24, 1.56, 1.06, 0.85, 
##     0.79, 0.67, 0.85, 0.85, 0.66, 0.58, 0.61, 0.58, -0.55, -0.83, 
##     0.59, 1.11, 1.32, 1.32, 0.93, 0.93, 0.83, 0.64, 0.63, -1.38, 
##     -1.45, -1.7, -1.77, -0.92, -0.26, -0.11, 0.1, 0.42, 0.96, 
##     0.61, 0.67, 0.69, 0.66, 0.43, 0.02, -1.53, -1.67, -1.54, 
##     -1.12, -0.4, 1.03, 1.11, 0.92, 1.04, 1, 0.42, 0.48, -0.82, 
##     -1.4, -1.49, -1.53, -1.16, -0.55, -0.42, -0.24, -0.5, -0.32, 
##     -0.06, 0.27, -0.14, -0.06, 0.24, 0.26, 1.03, 1.17, -0.27, 
##     -0.27, -0.26, 0.05, 0.31, 0.34, 0.29, 0.21, -0.29, -0.51, 
##     -0.53, -0.13, 0.05, -0.08, 0.37, 0.22, -0.31, -0.79, -0.64, 
##     0.29, 0.4, 0.06, -0.4, -0.59, -0.74, -0.77, -0.56, -0.64, 
##     -0.11, -0.24, 0.27, 0.48, 0.35, 0.1, -0.06, -0.18, -0.13, 
##     -0.14, -0.03, 0.31, 0.29, -0.43, -0.13, 0.1, 0.39, 0.29, 
##     0.08, -0.05, 0.08, 0.02, -0.08, 0.02, -0.43, -0.56, -0.66, 
##     -0.83, -0.98, -0.42, 0.32, 0.5, 0.4, 0.08, 0.08, 0.08, -0.61, 
##     0.19, 0.51, 0.4, 0.61, 0.71, 1.33, 1.4, 1.38, 1.38, 1.46, 
##     1.36, 1.51, 1.75, 1.73, 1.59, 1.48, 1.38), gyros_forearm_y = c(-0.02, 
##     -0.02, -0.02, 0, -0.02, 0.02, 0, -0.02, 0, 0, -0.02, -0.03, 
##     -0.02, -0.03, 0, 0, -0.02, 0, -0.02, 0, 0, 0.02, -0.02, -0.02, 
##     -0.02, 0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.02, 
##     -0.03, -0.03, -0.02, -0.02, 0, 0, -0.02, -0.02, 0, 0.03, 
##     0, 0, -0.02, -0.02, -0.02, -0.06, -0.05, -0.05, -0.02, -0.02, 
##     0, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, 0.02, 0.02, 
##     0.02, 0.02, 0, -0.02, -0.02, 0.02, 0, 0, -0.06, -0.02, 0, 
##     0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, 0.02, 0.02, -0.02, 
##     0, 0, -0.02, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, 
##     0, -0.02, 0, -0.02, -0.02, -0.03, -0.02, -0.03, -0.1, -0.05, 
##     -0.08, -0.03, 0.02, -0.06, 0, 0, -0.05, -0.05, -0.03, 0, 
##     0.02, 0.02, 0.02, 0, 0, 0, -0.03, -0.05, 0.03, -0.02, 0.02, 
##     0.03, 0.02, 0.03, 0.02, -0.02, -0.03, 0.03, 0.05, 0.08, 0.08, 
##     0.06, 0, -0.03, 0.02, 0.1, 0.06, 0.14, 0.1, 0.13, 0.1, 0.03, 
##     0, 0.02, -0.16, -0.16, -0.18, -0.1, -0.06, -0.16, -0.06, 
##     -0.02, -0.08, -0.11, -0.11, -0.1, 0.03, 0.32, 0.32, 0.21, 
##     0.14, 0.19, 0.27, 0.08, -0.03, -0.19, -0.37, -0.29, -0.22, 
##     -0.21, -0.21, -0.21, -0.21, 0.05, 0.06, 0.11, -0.06, 0.18, 
##     -0.08, -0.02, 0.03, 0.05, 0.1, 0.06, 0.05, -0.03, 0.05, 0.03, 
##     -0.02, -0.03, 0.02, -0.05, 0.05, 0, -0.05, -0.08, -0.03, 
##     -0.03, -0.05, 0, 0.02, -0.26, -0.24, -0.14, -0.18, -0.13, 
##     -0.05, 0.03, 0, 0.05, 0.03, 0.03, 0.05, 0.05, 0.03, 0.05, 
##     0.1, 0.03, 0.05, 0.06, 0.03, 0.03, 0, 0.02, -1.62, -1.72, 
##     -1.49, -2.15, -2.1, -1.69, -1.32, 0.43, 1.49, 1.59, 1.78, 
##     1.83, 2.44, 2.36, 2.22, 3, 1.72, 1.65, 1.4, 0.37, 0.37, 0.27, 
##     -0.31, -0.58, -1.32, -1.51, -1.72, -1.85, -2.07, -2.31, -2.42, 
##     -2.25, -2.36, -2.31, -2.49, -2.73, -2.86, -2.71, -2.57, -2.68, 
##     -2.36, -1.32, 1.7, 1.89, 1.77, 1.85, 2.25, 2.46, 1.88, 1.46, 
##     1.51, 1.46, 1.48, 0.95, 0.98, 0.11, -0.58, -0.67, -1.38, 
##     -1.54, -1.91, -2.02, -2.17, -2.2, -2.59, -2.68, -2.63, -2.5, 
##     -2.33, -2.28, 1.78, 1.78, 1.85, 2.07, 1.86, 1.67, 1.49, 1.17, 
##     0.87, 0.83, -0.27, -0.37, -0.48, -0.55, -1.33, -1.38, -1.77, 
##     -1.78, -2.3, -2.44, -2.57, -2.52, -2.7, -2.62, -2.76, -2.59, 
##     -2.22, 0.27, 1.04, 1.28, 1.49, 1.96, 2.2, 2.06, 2.07, 2.31, 
##     2.41, 2.52, 2.41, 2.06, 2.14, 1.48, 1.8, 1.72, 1.48, 1.46, 
##     1.8, 1.8, 1.53, 0.77, 0.67, 0.58, 0.34, -0.03, -0.11, -0.43, 
##     -0.77, -2.41, -2.63, -2.71, -2.68, -2.63, -2.55, -2.41, -0.32, 
##     1, -0.1, -0.31, -0.53, -1.32, -1.59, -2.17, -2.18, -2.73, 
##     -2.59, -2.55, -2.52, -2.38, -2.46, -2.47, -2.83, -2.92, -2.54, 
##     -1.16, 0.31, 0.26, 0.06, -0.56, -1.17, -1.53, -1.69, -2.41, 
##     -2.07, 2.78, 3.07, 2.5, 2.7, 2.68, -2.39, -2.57, -2.41, -2.33, 
##     -0.79, 2.1, 2.26, 2.15, 2.54, 2.12, 2.28, 2.68, 2.26, 1.8, 
##     1.49, 1.59, 1.28, 1.11, 0.83, -0.35, -0.4, -0.22, 0.39, 0.83, 
##     1.09, 1.17, 1.12, 1.25, 1.43, 1.46, 1.38, 0.9, 0.27, -0.18, 
##     -0.16, -0.16, -0.32, 0.1, 0.42, 1.14, 1.54, 2.01, 1.81, 0.95, 
##     0.75, 0.61, 0.14, -0.06, -0.08, 0.72, 0.85, 1.06, 1, 0.4, 
##     0.22, 0.19, 1.01, 1.22, 1.43, 1.61, 0.27, -0.11, -0.32, 0.03, 
##     0.35, 1.03, 1.53, 1.38, 1.24, 0.58, 0.34, -0.08, -0.24, -0.19, 
##     -0.02, 0.9, 1.3, 0.93, 0.69, 0.53, -0.11, 0.27, 0.45, 0.63, 
##     0.74, 0.85, 1.25, 1.16, 0.8, 0.71, 0.69, 0.47, -0.1, 1.14, 
##     1.27, 1.19, 0.87, 0.66, 0.51, 0.37, 0.16, 0.24, 0.5, 0.53, 
##     0.55, 0.5, 0.34, 0.18, 0.24, 0.56, 1.51, 1.2, 0.45, 0.08, 
##     0.03, -0.02, 0.51, 0.58, 0.87, 0.95, 0.83, 0.22, 0.16, 0.16, 
##     0.85, 0.88, 0.48, 0.4, 0.02, 0.48, 0.9, 0.96, 0.95, 0.67, 
##     0.53, 0.43, 0.43, 0.22, 0.18, 0.51, 0.56, 0.64, 0.77, 0.9, 
##     0.9, 0.96, 0.4, 0.05, 0, 0.48, 0.96, 1.12, 0.58, 2.42, 2.67, 
##     2.46, 1.8, 1.36, 0.85, 0.71, 0.14, -0.37, -1.2, -1.62, -1.27, 
##     -1.27, 0.27, 0.03, 0.63, 0.79, 1, 0.87, 0.35, -0.21, -1.69, 
##     -4.24, -3.2, 0.06, 0.79, 0.79, 1.86, 2.91, 0.93, 0.11, -0.06, 
##     -0.22, 0.48, 1.46, 1.41, 1.03, -0.75, -2.3, -0.85, 0.31, 
##     1.12, 0.88, 0.85, 2.07, 1.51, 1, 0.9, 0.88, 0.74, 0.67, 0.4, 
##     0.19, 0.4, 0.37, 0.9, 0.29, 0.67, 0.8, 0.4, 0.11, 0.59, 0.26, 
##     0.19, 0.26, 1.43, 1.59, 0.48, 0.02, 0.08, 0.32, 0.63, 0.48, 
##     0.74, 0.67, 0.67, 0.32, 0.61, 0.61, 0.63, 0.45, 0.43, 0.59, 
##     0.53, 0.51, 0.64, 0.51, 0.55, 0.53, 0.64, 0.98, 1.19, 1.06, 
##     0.75, 0, 0.53, 0.5, 0.43, 0.58, 0.59, 0.53, 0.47, 0.58, 0.56, 
##     0.61, 0.58, 0.58, 0.51, 0.53, 0.55, 0.53, 0.58, 0.59, 0.58, 
##     0.58, 0.53, 0.34, 0.31, 0.13, 0.18, 0.21, 0.24, 0.61, 0.88, 
##     0.83, 0.87, 0.85, 0.59, 0.59, 1.14, 1.06, 0.96, 0.82, 0.5, 
##     0.55, 0.55, 0.61, 0.55, 0.59, 0.53, 0.5, 0.42, 0.45, 0.53, 
##     0.64, 0.69, 0.59, 0.56, 0.59, 0.59, 0.55, 0.56, 0.61, 0.64, 
##     0.63, 0.67, 0.8, 0.37, 0.31, 0.16, 0.14, -0.03, -0.95, -1.72, 
##     -2.04, -2.57, -2.46, -2.49, -2.44, -2.33, -2.15, 2.7, 2.63, 
##     2.71, 2.87, 2.76, 2.73, 2.83, 2.59, 2.73, 2.76, 2.57, 2.3, 
##     2.47, 2.73, 2.42, 2.1, 2.3, 1.78, 1.75, 1.04, 1.04, 0.95, 
##     0.74, 0.75, 0.61, 0.64, 0.75, 0.74, 0.77, 0.58, 0.55, 0.43, 
##     0.24, 0.1, -0.87, -1.72, -1.99, -2.59, -2.63, -2.25, -2.04, 
##     -1.78, -1.49, -1.09, -0.55, -0.31, 2.57, 2.5, 2.09, 1.86, 
##     1.98, 1.93, 1.73, 1.38, 1.46, 1.43, 1.32, 0.96, 0.92, 0.77, 
##     0.83, 0.85, 0.79, 0.79, 0.79, 0.63, -0.96, -1.94, -2.1, -1.94, 
##     -1.62, -1.49, -0.27, -0.21, -0.08, -0.03, 0.13, 0.18, 0.11, 
##     0.21, 0.19, 0.21, 1.38, 1.8, 2.26, 2.36, 2.89, 2.68, 3.02, 
##     2.89, 3.02, 3.32, 2.6, 3.02, 2.3, 1.98, 1.81, 1.99, 1.73, 
##     1.78, 1.25, 1.25, 1.14, 0.87, 0.72, 0.75, 0.77, 0.77, 0.75, 
##     0.74, 0.74, 0.37, 0.32, 0.03, -0.59, -1.32, -1.61, -1.53, 
##     -2.02, -2.2, -2.17, -2.57, -2.49, -1.89, -1.48, -1.38, -1.49, 
##     -0.71, 0.71, 0.72, 0.93, 0.85, 1, 1, 2.04, 2.36, 2.78, 2.59, 
##     3, 2.42, 2.33, 1.91, 1.78, 1.81, 1.75, 1.72, 1.19, 1.3, 1.16, 
##     0.63, 0.51, 0.43, -1.22, -1.09, -1.46, -1.43, -1.62, -1.8, 
##     -2.04, -1.77, -1.59, -0.92, -0.14, 2.5, 1.64, 1.96, 1.56, 
##     1.22, 1.2, 1.32, 1.25, 0.72, 0.74, 0.72, 0.72, 0.69, 0.11, 
##     -0.42, -1.56, -1.86, -2.38, -2.47, -2.44, -2.22, -2.23, -2.25, 
##     -1.83, -1.86, -1.25, -1.03, -0.79, -0.83, -0.61, -0.64, -0.42, 
##     0.35, 0.55, 0.58, 0.5, 0.58, 0.59, 0.42, 0.59, 0.93, 1.32, 
##     1.91, 2.41, 3.02, 3.05, 3.1, 3.08, 3.02, 2.52, 2.54, 2.46, 
##     2.3, 2.15, 1.93, 1.85, 1.78, 1.96, 2.12, 2.02, -0.37, 0.34, 
##     0.29, 0.26, 0.51, 0.53, 0.39, 0.59, 0.48, 0.53, 0.58, 0.61, 
##     0.69, 0.75, 0.8, 0.85, 1.3, 1.72, 1.93, 2.22, 2.41, 2.36, 
##     2.57, -0.35, -0.19, -0.16, -0.21, -0.19, -0.22, -0.24, -0.26, 
##     -0.26, -0.21, -0.24, -0.22, -0.21, -0.19, -0.19, -0.22, -0.22, 
##     -0.21, -0.21, -0.19, -0.19, -0.22, -0.24, -0.22, -0.24, -0.22, 
##     -0.22, -0.21, -0.19, -0.18, -0.21, -0.21, -0.24, -0.21, -0.21, 
##     -0.22, -0.22, -0.22, -0.22, -0.22, -0.24, -0.26, -0.24, -0.24, 
##     -0.22, -0.21, -0.21, -0.22, -0.21, -0.19, -0.43, -0.4, -0.27, 
##     -0.19, -0.14, -0.11, -0.13, -0.24, -0.31, -0.35, -0.27, -0.26, 
##     -0.24, -0.24, -0.24, -0.21, -0.19, -0.21, -0.19, 0.27, 0.43, 
##     1, 1.83, 3.07, 3.1, 3.24, 3, 2.89, 2.17, 2.07, 1.25, 0.77, 
##     -0.75, -1.19, -1.46, -1.85, -2.01, -2.18, -2.23, -2.36, -2.54, 
##     -2.78, -2.68, -2.73, -2.38, -2.75, -2.07, -2.17, -1.83, -1.7, 
##     -1.59, -1.53, -1.2, -1.12, -1.12, -1.24, -1.51, -0.67, -0.53, 
##     -0.47, -0.43, -0.37, -0.02, 0.63, 0.66, 0.82, 1.65, 1.98, 
##     2.44, 3.03, 3, 3.34, 3.44, 3.28, 3.21, 3.29, 2.99, 2.67, 
##     2.54, 2.47, 2.36, 2.57, 2.06, -0.79, -0.51, -0.55, -0.31, 
##     -0.13, 0.03, 0.21, 0.67, 0.98, 1.2, 1.35, 1.45, 1.89, 2.01, 
##     2.81, 2.89, 3.12, 3.18, 2.87, 2.79, 2.62, 2.25, 2.14, -1.03, 
##     -1.09, -0.8, -0.55, -0.87, -1.91, -2.26, -2.54, -3.32, -3.71, 
##     -3.63, -3.77, -3.29, -0.21, 0.05, 0.13, 0.66, 1.61, 2.04, 
##     2.2, 2.39, 3.07, 3.13, 3.48, 3.85, 3.6, 3.76, 3.66, 1.96, 
##     1.77, -1.28, -1.53, -1.89, -2.31, -2.49, -2.94, -3.26, -3.55, 
##     -3.31, -3.26, -2.92, -2.62, -2.55, -2.31, -2.14, -3.31, -3.42, 
##     -3.23, -2.94, -2.6, -2.33, -2.54, -2.2, -2.12, -0.96, -0.72, 
##     -0.4, -0.31, -0.18, -0.05, 0.19, 3.21, 3.32, 3.85, 3.58, 
##     3.77, 3.63, 3.16, 2.75, 1.49, 0.72, -0.31, -0.69, -1.36, 
##     -1.67, -1.73, -2.28, -3.05, -3.45, -3.84, -3.18, -2.86, -2.73, 
##     -2.17, -2.22, -1.93, -1.81, -1.77, -1.72, -1.57, -0.74, -0.82, 
##     -0.64, -0.43, -0.22, -0.22, -0.14, -0.1, -0.03, 0.03, 0.03, 
##     0.47, 0.87, 1.14, 1.69, 1.75, 2.73, 3.05, 3.21, 3.4, 3.58, 
##     3.48, 3.53, 2.57, 2.59, 2.52, 1.77, -1.06, -1.33, -1.89, 
##     -2.41, -2.89, -2.99, -3.31, -3.47, -3.52, -3.68, 0.08, 0.58, 
##     0.93, 1.17, 2.34, 3.31, 3.55, 3.68, 3.82, 3.76, 3.5, 3.32, 
##     3.21, 3.03, 2.94, 2.94, 2.76, 0.63, -1.08, -2.94, -3.15, 
##     -3.53, -3.53, -3, -2.76, -1.4, -1.08, -0.39, -0.24, 0.03, 
##     0.21, 0.88, 1.06, 1.4, 1.48, 1.54, 1.61, 2.07, 2.33, 2.83, 
##     3.21, 3.05, 3.24, 2.99, 2.97, 3.12, 2.91, 2.97, 2.7, 2.39, 
##     0.74, -2.67, -3.47, -3.84, -3.02, -2.75, -2.89, -2.52, -2.25, 
##     -2.07, -2.02, -2.02, -1.78, -1.27, -1.27, -1.14, -0.75, 0.02, 
##     1.41, 1.67, 3.55, 3.73, 3.95, 2.17, 1.45, -1.08, -1.65, -2.17, 
##     -2.6, -2.65, -3.18, -3.24, -3.16, -3.28, -3.13, -3.02, -2.92, 
##     -2.5, -2.15, -2.12, -0.21, -0.03, 0.16, -0.13, 0.02, -0.1, 
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##     -0.69, -1.09, -1.32, -1.32, -1.35, -1.38, -1.43, -1.38, -1.49, 
##     -1.75, -1.81, -1.8, -1.85, -2.28, -2.22, -2.42, -2.41, -2.46, 
##     -2.47, -2.23, -2.06, -1.94, -1.94, -1.24, -0.85, 0.19, 0.67, 
##     0.77, 0.88, 1.33, 1.45, 1.57, 1.75, 1.73, 1.72, 1.83, 2.14, 
##     2.09, 2.57, 2.36, 2.28, 2.07, 1.8, 1.19, 1.14, 1.17, 0.96, 
##     0.82, 0.79, 0.63, 0.51, 0.16, -0.29, -0.69, -1.36, -1.46, 
##     -1.62, -2.33, -2.36, -2.47, -2.5, -2.78, -2.62, -2.73, -2.91, 
##     -2.79, -1.61, -0.35, 0.05, 0.83, 1.77, 1.81, 1.75, 1.7, 1.7, 
##     1.64, 1.81, 1.96, 2.33, 2.42, 2.44, 2.31, 1.93, 1.98, 1.91, 
##     1.89, 0.45, -1.17, -1.46, -1.96, -2.25, -3.21, -3.2, -2.94, 
##     -2.97, -2.94, -2.73, -2.3, -2.04, -1.54, 0.87, 1.14, 2.34, 
##     2.34, 2.46, 2.49, 2.78, 2.86, 2.87, 2.84, 2.78, 2.22, 2.38, 
##     1.43, 0.8, -0.79, -1.49, -1.73, -1.86, -2.36, -2.39, -3.03, 
##     -3.31, -3.32, -2.95, -2.86, -2.97, -2.87, -2.87, -2.95, -2.75, 
##     -2.46, -1.41, 1.46, 1.91, 2.22, 2.39, 2.67, 2.41, 1.81, -2.75, 
##     0.35, 1.24, 2.25, 2.81, 2.94, 3.05, 3.29, 3.24, 3.13, 3.02, 
##     2.62, 2.5, 2.33, 2.34, 2.7, 2.23, 2.12, 1.27, 0.61, 0.43, 
##     -0.08, -0.98, -1.54, -2.33, -2.59, -3.34, -3.34, -3.31, -3.12, 
##     -3.23, -3.18, -2.95, -2.68, -2.62, -2.3, -2.17, 0.47, 1, 
##     1.25, 1.73, 1.94, 2.07, 2.47, 2.71, 2.63, 2.95, 3.21, 3.13, 
##     2.59, 2.36, 1.89, 2.1, 1.56, 1.27, 1.11, 0.92, 0.71, -0.03, 
##     -0.56, -1.27, -2.89, -3.21, -3.23, -3.47, -3.28, -3.2, -3.26, 
##     -3.29, -3.28, -2.97, -2.95, 0.29, 0.82, 1.14, 1.45, 2.44, 
##     2.84, 2.86, 3.05, 2.84, 2.94, 2.73, 2.42, 2.07, 2.26, 2.18, 
##     2.12, 2.12, 2.01, 1.94, 1.89, 1.81, 1.65, 1.45, 0.69, -0.34, 
##     -0.55, -0.8, -1.65, -1.91, -2.54, -3.44, -2.57, -2.65, -2.42, 
##     -2.49, -2.23, -0.42, 0.11, 0.98, 1.28, 1.53, 2.57, 2.67, 
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##     0.08, -0.03, -0.11, 0.06, 0.11, 0.03, -0.05, -0.13, -0.06, 
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##     -0.02, -0.03, -0.03, -0.02, 0, -0.02, -0.08, -0.05, -0.03, 
##     0.03, -0.06, -0.05, 0.02, 0.02, 0, -0.02, 0, -0.03, 0, -0.02, 
##     -0.03, 0, -0.02, 0, 0, 0, -0.02, 0, 0.02, -0.03, 0, 0, -0.03, 
##     0, 0, -0.02, -0.02, -0.03, 0.03, 0.06, 0.02, -0.1, -0.11, 
##     -0.05, -0.03, 0, 0.03, -0.11, -0.14, -0.13, -0.1, -0.03, 
##     0.05, 0.13, 0.11, 0.06, -0.1, -0.03, -0.03, 0.05, 0.06, 0.1, 
##     -0.05, -0.08, -0.14, 0, 0.1, -0.05, 0.08, 0.02, 0.05, -0.02, 
##     0.13, 0.14, -0.11, -0.03, -0.02, 0, -0.03, 0, -0.02, -0.02, 
##     -0.02, 0.02, 0.02, 0.03, 0.29, 0.05, -0.14, -0.21, 0.14, 
##     -0.08, -0.1, 0, 0.06, 0.03, -0.02, 0.05, -0.05, -0.02, -0.05, 
##     -0.03, -0.03, -0.02, 0, -0.03, -0.02, -0.02, -0.03, -0.03, 
##     -0.02, -0.02, -0.02, -0.02, 0, -0.03, -0.03, -0.06, -0.03, 
##     0, -0.05, 0.02, -0.03, -0.03, -0.05, -0.02, -0.06, -0.05, 
##     -0.03, -0.05, 0.02, -0.02, -0.08, -0.63, -1.08, -1.72, -2.31, 
##     -2.36, -2.33, -3.52, -3.97, -3.82, -2.94, -2.79, -2.89, -3.05, 
##     -2.57, -2.47, -1.46, -0.72, 1.77, 1.89, 2.06, 2.39, 2.06, 
##     1.3, 4.05, 3.28, 1.25, 3.69, 2.67, 1.8, 1.98, 2.22, 2.06, 
##     1.64, 1.43, 1.25, -0.26, -1.03, -1.22, -1.49, -1.93, -2.91, 
##     -3.24, -3.36, -2.94, -2.84, -2.83, -2.71, -2.06, -2.23, -2.3, 
##     -2.01, -2.28, 0.69, 1.19, 1.88, 2.14, 2.78, 2.44, 3.52, 4.54, 
##     2.25, 1.96, 3.93, 1.98, 2.38, 2.89, 0.21, 0, -0.72, -1.19, 
##     -1.77, -2.34, -2.87, -3.26, -3.56, -3.52, -3.23, -2.67, -2.59, 
##     -3.28, 0.5, 2.18, 2.36, 3.12, 3.24, 4.03, 3.63, 3.98, 3.02, 
##     2.83, 2.81, 2.59, 1.48, 0.93, 0.75, -0.5, -1.25, -3.71, -3.89, 
##     -3.68, -3.18, -3.45, -2.73, -2.15, -0.59, -0.26, 0.21, 1.56, 
##     1.96, 2.06, 2.54, 2.36, 3.84, 3.02, 3.07, 4.26, 2.41, 3.1, 
##     3.32, 1.28, 0.53, -1.19, -2.73, -3.5, -3.81, -3.77, -3.61, 
##     -3.02, 0.87, 1.51, 1.89, 3, 4.4, 2.7, 2.22, 2.55, 2.5, 0.29, 
##     0.14, -1.22, -1.16, -2.49, -2.49, -2.63, -3.31, -3.29, -3.29, 
##     -2.95, -2.94, -2.86, -2.83, -2.75, -1.65, 0.16, 1.35, 2.06, 
##     2.3, 1.88, 5.25, 3.2, 1.01, 4.74, 3.1, 2.71, 1.19, 0.35, 
##     0.05, -0.19, -0.47, -1.48, -1.43, -2.59, -2.89, -3.52, -3.5, 
##     -3.53, -3.53, -3.55, -3.18, -2.81, -2.68, -2.62, -2.6, 0.34, 
##     1.24, 1.59, 3.42, 3.5, 3.95, 3.42, 3, 2.73, 0.77, 0.03, -0.42, 
##     -0.53, -1.11, -2.23, -2.41, -3.28, -3.13, -3.28, -3.36, -3.31, 
##     -3.39, -3.12, -3.4, -3.05, -3, -2.36, -2.14, -2.3, 0.21, 
##     1.83, 2.65, 2.86, 2.67, 1.81, 4.77, 2.59, 2.91, 2.46, 2.18, 
##     2.14, 1.17, 0.85, -0.21, -0.72, -0.79, -1.27, -1.62, -2.25, 
##     -2.76, -3.77, -3.93, -3.82, -3.52, -3.21, -3, -3.26, -2.75, 
##     -2.41, 1.41, 1.54, 2.68, 2.57, 2.54, 2.3, 2.83, 4.77, 1.62, 
##     2.73, 2.91, 1.49, 0.79, 1, 1.03, 0.34, 0.13, -0.9, -1.89, 
##     -2.06, -4.17, -2.54, -1.53, 0.45, 0.72, 0.47, 0.9, 4.26, 
##     3.79, 3.18, 1.78, 2.55, -0.51, -0.4, -0.31, -0.27, -0.34, 
##     -0.21, -0.22, -0.24, -0.16, -0.22, -0.22, -0.24, -0.27, -0.26, 
##     -0.21, -0.19, -0.21, -0.22, -0.24, -0.26, -0.26, -0.26, -0.24, 
##     -0.22, -0.26, -1.24, -1.4, -1.54, -2.04, -1.98, -1.48, -1.51, 
##     -1.36, -1.38, -1.2, -0.88, -0.61, 1.96, 1.86, 1.48, 1.4, 
##     1.3, 1.11, 0.83, 0.83, 0.53, 0.18, 0.13, -0.64, -0.9, -0.98, 
##     -1.12, -0.02, 0.31, 0.31, 0.64, 0.79, 1.43, 2.26, 2.87, 3, 
##     3.03, 0.67, 0.82, 0.83, 1.01, 1.35, 1.75, 1.75, 1.7, 2.44, 
##     2.52, 2.99, 2.59, -1.3, -1.45, -1.24, -0.9, -0.85, -0.66, 
##     -0.37, -0.26, -0.08, 1.25, 1.75, 1.88, 0.61, 0.5, 0.59, 0.63, 
##     0.63, 0.58, 0.58, 0.53, 0.59, 0.56, 0.56, 0.83, 0.83, 0.63, 
##     0.61, 0.55, 0.47, 0.42, 0.32, 0.42, 0.69, 0.48, 0.45, 0.5, 
##     0.55, 0.59, 0.63, 0.74, 0.67, 0.67, 0.64, 0.61, 0.66, 0.63, 
##     0.64, 0.93, 0.79, 0.06, 0.06, 0.08, 0.06, 0.06, 0.06, 0.06, 
##     0.08, 0.06, 0.06, 0.08, 0.06, 0.06, 0.08, 0.1, 0.1, 0.06, 
##     0.06, 0.08, 0.08, 0.11, 0.06, 0.03, 0.06, 0.1, 0.1, 0.05, 
##     0.03, 0.02, 0, 0.02, 0.13, 0.08, 0.03, 0.06, 0.14, 0.13, 
##     0.1, 0.05, 0.05, 0.03, 0.05, 0.06, 0.1, 0.06, 0.08, 0.06, 
##     0.06, 0.1, 0.11, 0.11, 0.1, 0.08, 0.08, 0.08, 0.08, 0.1, 
##     0.08, 0.08, 0.06, 0.03, -0.03, -0.03, -0.03, -0.02, 0, 0.02, 
##     0.05, 0.05, 0.08, 0.06, 0.08, 0.1, 0.08, 0.1, 0.08, 0.08, 
##     0.06, 0.11, 0.14, 0.14, 0.1, -0.03, -0.03, 0, 0.05, 0.03, 
##     0.08, 0.1, 0.08, 0.06, 0.05, 0.08, 0.08, 0.08, 0.08, 0.06, 
##     0.06, 0.06, 0.06, 0.06, 0.08, 0.06, 0.08, 0.08, -0.75, -1.69, 
##     -1.33, -1.56, -0.71, -0.22, 0.05, -0.16, -0.18, -0.13, 0.32, 
##     0.19, 0.02, -0.06, 0, 0.21, 0.42, 0.45, 0.32, 0.18, 0.03, 
##     -0.05, -0.02, 0, 0.05, 0.02, 0.05, 0.03, 0, 0.02, 0.05, 0.03, 
##     0.08, 0.05, 0.06, 0.03, 0.08, 0.1, 0.14, 0.14, 0.08, 0.03, 
##     -0.03, -0.1, -0.1, 0, 0.05, 0.05, 0.11, 0.13, 0.11, 0.1, 
##     0.08, 0.13, 0.1, 0.11, 0.19, 0.19, 0.74, 0.85, 1.03, 1.64, 
##     1.36, 1.43, 0.9, 0.69, 0.47, -0.08, -0.08, -0.1, 1.01, 0.21, 
##     -0.13, -0.03, -0.26, 0.06, 0, 0.02, 0.05, 0, -0.06, -0.08, 
##     -0.13, -0.22, -0.55, -1.08, -1.46, -1.7, -1.81, -2.5, -2.6, 
##     -2.76, -2.14, -2.33, -2.31, -2.6, -3.18, -2.73, -2.6, -2.71, 
##     -2.65, -1.61, -0.77, -0.26, 0.83, 1.04, 0.92, 1.04, 1.3, 
##     1.73, 1.89, 2.31, 2.79, 3.13, 3, 2.67, 2.83, 1.93, 1.08, 
##     -1.73, -1.81, -1.67, -1.83, -1.85, -2.04, -2.04, -2.2, -2.18, 
##     -1.96, -2.36, -2.46, -2.81, -2.59, 0.24, 0.55, 0.9, 0.82, 
##     1.12, 1.2, 1.2, 1.03, 1.46, 1.35, 2.07, 1.09, 1.65, 2.25, 
##     -1.59, -1.46, -1.75, -1.27, -1.32, -1.49, -1.43, -1.88, -1.91, 
##     -0.88, 0.1, 0.4, 1.04, 1.57, 1.61, 2.2, 2.23, 2.15, 1.78, 
##     2.78, 1.45, 1.28, -1.24, -1.59, -1.72, -1.48, -1.51, -1.62, 
##     -0.87, -0.64, -0.47, 0.67, 1.65, 1.46, 2.01, 1.86, 1.61, 
##     1.89, 1.98, 1.72, 1.61, 1.75, 1.72, 1.43, 1.81, 1.16, 1.4, 
##     0.16, -0.08, -0.24, -0.77, -1.36, -1.62, -1.98, -1.93, -2.06, 
##     -1.81, -1.59, -1.61, -1.69, -1.19, -1.33, -1.08, -0.88, -0.08, 
##     0.39, 1.11, 1.3, 1.78, 1.88, 1.72, 1.85, 1.35, 1.54, 1.61, 
##     1.64, 1.33, 1.12, -0.22, -0.95, -1.03, -1.24, -1.49, -1.51, 
##     -1.62, -1.67, -1.73, -1.65, -1.57, -1.67, -1.54, -1.4, -2.15, 
##     -1.11, -1.38, 0.1, 0.8, 0.79, 0.98, 1.22, 1.33, 1.56, 1.85, 
##     2.22, 1.46, 1.73, 1.8, 1.28, 1.57, 1.19, 1.56, 1.33, 1.4, 
##     1.32, 1.43, 1.48, 1.35, 1.12, 0.55, -0.08, -0.21, -0.42, 
##     -0.55, -0.77, -1.36, -1.49, -1.43, -1.85, -1.81, -1.56, -1.7, 
##     -1.72, -1.73, -1.72, -1.64, -1.61, -1.65, -1.09, -1.33, -1.54, 
##     -1.53, -1.61, -1.54, -1.35, -1.11, -0.58, -0.27, 0.18, 0.31, 
##     0.58, 1.4, 1.56, 2.18, 2.15, 2.39, 2.47, 2.63, 2.25, 2.92, 
##     2.5, 2.3, 2.1, 2.31, -2.07, -1.96, -1.83, -1.46, -1.27, -1.3, 
##     -1.28, -1.17, -1.12, -0.67, -0.56, 0.93, 1, 1.11, 1.4, 1.59, 
##     1.67, 1.78, 2.12, 2.17, 2.33, 1.8, 2.1, 2.79, 2.95, 2.89, 
##     2.63, 2.57, 2.41, 2.44, 2.7, 2.26, 1.96, 1.88, 2.12, 1.88, 
##     1.43, 1.53, 1.54, 1.32, 1.43, 1.08, 0.95, 0.88, 0.92, 0.8, 
##     0.22, 0.22, 0.18, -0.27, -0.48, -1.01, -1.73, -1.85, -1.59, 
##     -1.45, -1.04, -0.88, -0.66, -0.53, -0.34, 0.03, 0.63, 0.71, 
##     0.67, 0.64, 0.66, 0.67, 0.67, 0.66, 0.64, 0.77, 0.85, 0.96, 
##     1.04, 1.32, 1.73, 1.91, 2.06, 2.26, 2.54, 2.49, 2.41, 2.73, 
##     2.12, 2.22, 1.69, 1.7, 1.83, 1.75, 1.53, 1.25, 1.09, 1.08, 
##     1.08, 0.83, 0.93, 0.08, -0.21, -0.53, -1.14, -1.51, 1.11, 
##     0.85, 1, -0.11, -0.29, -0.4, -0.95, -1.85, -1.94, -1.72, 
##     -1.67, -1.72, -1.75, -1.54, -1.67, -1.56, -1.48, -1.57, -1.49, 
##     -1.48, -1.24, 0.22, 0.19, 0.1, 0.11, -0.05, 0.06, 0.18, -0.06, 
##     0.06, 0.1, 0.13, 0.11, 0.06, 0.05, 0.03, 0.08, 0.14, 0.26, 
##     0.08, 0.08, 0.06, 0.1, 0.11, 0.13, 0.13, 0.19, 0.1, 0.14, 
##     -0.11, -0.02, 0.02, 0.02, -0.05, -0.26, -0.34, -0.4, -0.4, 
##     0.08, 0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 0.11, 0.06, 0.06, 
##     0.05, 0.06, 0.08, -0.03, -0.02, 0, 0, -0.02, 0.03, 0.05, 
##     0.05, 0.05, 0.06, 0.03, -0.02, -0.03, 0, 0.03, -0.02, -0.1, 
##     -0.03, 0.05, 0.06, 0.03, 0.03, 0.03, 0.11, 0.05, 0.02, -0.1, 
##     0.5, 0.03, -0.26, -0.31, -0.16, 0.05, -0.14, 0.08, 0.1, -3.73, 
##     -3.52, -3.58, -3.36, -2.54, -0.93, -0.26, 3.2, 3.32, 3.37, 
##     3.39, 2.87, 2.31, 2.22, 0.45, -0.67, -2.33, -2.59, -3.31, 
##     -3.37, -1.73, -1.09, -0.82, -0.75, -0.67, -0.55, -0.31, -0.16, 
##     -0.1, 0.63, 0.8, 1.03, 1.2, 2.23, 2.31, -2.47, -2.44, -1.32, 
##     -0.79, -0.67, -0.71, -0.67, -0.75, -0.63, -0.67, -0.51, -0.42, 
##     -0.45, -0.34, -0.34, -0.32, -2.71, -2.63, -3.28, -3.29, -3.02, 
##     -2.91, -2.92, -2.6, -2.86, -2.3, -2.54, -2.15, -2.06, -1.49, 
##     -0.8, -0.21, -0.22, -0.22, -0.21, -0.22, -0.22, -0.21, -0.22, 
##     -0.24, -0.22, -0.22, -0.22, -0.21, -0.21, -0.22, -0.21, -0.22, 
##     -0.22, -0.19, -0.21, -0.18, -0.11, 0.02, -0.08, 311, -0.35, 
##     -0.02, 0, -0.24, -0.29, -0.27, -0.35, -0.47, -0.35, -0.18, 
##     -0.27, -0.27, -0.24, -0.22, -0.22, -0.21, -0.22, -0.22, -0.22, 
##     -0.16, -0.11, -0.05, -0.08, 0.05, -0.02, 0.05, -0.03, -0.32, 
##     -0.5, -0.66, -0.34, -0.31, -0.26, -0.21, -0.18, -0.19, -0.14, 
##     -0.13, -0.13, -0.13, -0.14, -0.19, 1.61, 1.7, 1.78, 1.06, 
##     1.16, 1.48, 0.37, 0.19, -0.22, -1.33, -1.49, -2.6, -2.6, 
##     -2.65, 1.32, 2.44, 2.46, 2.67, 2.39, 2.12, 2.83, 2.02, 2.38, 
##     2.15, 1.43, 2.3, 2.5, 1.7, 2.3, 2.2, 1.45, 1.64, 1.4, 0.93, 
##     -2.31, -2.26, -2.49, -2.47, -1.73, 1.86, 1.98, 2.06, -0.05, 
##     -0.21, -0.21, -0.21, -0.34, -0.43, -0.48, -1.09, -1.56, -1.62, 
##     -2.04, -2.09, -2.1, -0.05, 0, 2.02, -0.18, -1.94, -2.46, 
##     -2.89, -3.1, -3.53, -3.52, -3.53, -3.44, -3.24, -3.5, -3.15, 
##     -2.71, -2.71, -2.67, 0.1, -0.06, -0.37, -0.43, -1.32, -1.64, 
##     -2.15, -2.47, -2.42, -2.44, -2.49, -2.49, -2.39, -2.65, -1.12, 
##     -0.06, 1.16, 2.86, 2.59, 2.62, 2.97, 2.18, 1.49, 1.77, 2.01, 
##     1.94, 1.22, 0.75, 0.61, 0, -0.11, -0.34, -0.83, -0.96, -1.72, 
##     -2.44, -2.49, -2.71, -2.83, -2.94, -3.05, -2.87, -2.73, -0.96, 
##     -0.02, 0.85, 1.72, 1.96, 0, 0, -0.08, -0.13, -0.06, 0.02, 
##     0, -0.05, -0.06, -0.08, -0.06, 0.06, 0.03, 0.03, -0.08, 0.03, 
##     0.02, -0.1, -0.55, -0.63, -0.69, -0.95, -1.04, -1.24, -2.06, 
##     -2.2, -2.36, -2.55, -3.15, -3.08, -3.2, -3.29, -3.34, -3.21, 
##     -3.05, -1.78, 0.85, 2.57, 2.54, 3.85, 3.16, 2.94, 2.44, 2.52, 
##     3.15, 2.78, 0.95, 0.18, -0.14, -0.35, -0.5, -0.74, -0.9, 
##     -1.17, -1.33, -2.57, -3.45, -3.32, -2.63, 1.17, 2.15, 2.39, 
##     2.94, 2.86, 2.86, 3.32, 2.54, 2.46, 3.03, 2.44, 1.94, 1.51, 
##     -0.82, -1.11, -1.33, -2.34, -3.34, -3.77, -3.37, -3.2, -2.87, 
##     -0.92, 2.07, 2.83, 2.54, 2.78, 2.86, 3.5, 3.07, 2.63, 3.03, 
##     3.08, -3.5, -3.5, -2.97, -2.6, -0.72, 0.16, 3, 3.45, 3.39, 
##     4.16, 3.87, 4.09, 3.12, 2.41, 2.5, 1.77, 0.43, -0.1, -0.87, 
##     -2.3, -2.55, -3.07, -3.13, -3.5, -3.42, -3.68, -4.03, -4.21, 
##     -3.07, -2.65, -1.22, 2.68, 2.95, 3.34, 4.22, 3.47, 3.28, 
##     2.87, 3.21, 2.87, 0.59, -0.45, -0.8, -0.9, -1.19, -1.45, 
##     -1.67, -3.31, -3.42, -3.93, -3.97, -3.53, -1.98, 4.11, -3.07, 
##     -4.06, -3.89, -4.05, -4.11, -4.08, -3.97, -3.81, -2.54, 1.01, 
##     2.46, 2.73, 2.76, 3.34, 3.58, 3.12, 3.82, 3.52, 3.1, 3.53, 
##     2.46, 2.17, 2.23, 2.17, 1.54, 0.8, 0.75, 0.72, 0.45, 0.16, 
##     -2.2, -2.46, -3.5, -3.95, -4.06, -4.26, -4.26, -3.97, -4.21, 
##     -3.69, -3.55, -1.3, 0.1, 1.43, 2.76, 2.83, 3.28, 4.09, 4.3, 
##     4.51, 3.85, 4.38, 3.85, 3.12, 2.94, -1.78, -1.01, -0.75, 
##     -0.4, -0.37, 0.72, -0.13, -0.22, -0.29, -0.29, 0.08, 0.39, 
##     0.63, 0.71, 0.72, 1.09, 1.22, 1.48, 1.77, 1.99, 2.2, 2.34, 
##     2.76, 3.05, 4.75, 4.62, 4.77, 4.66, 4.22, 4.09, 3.42, 3.16, 
##     2.83, 2.83, 3, 2.83, 1.85, -1.2, -2.31, -2.83, -3.07, -3.32, 
##     -3.56, -3.68, -3.93, -3.56, -4.06, -4.16, -4.09, -3.98, -3.87, 
##     -3.74, -3.45, -3.37, -3.03, -2.79, -2.83, -2.73, -1.83, -1.72, 
##     -1.56, -1.25, -0.63, -0.4, -0.1, 0.08, 0.79, 2.49, 2.75, 
##     3.24, 3.47, 3.53, 4.78, 4.77, 4.72, 4.58, 4.03, 3.63, 3.37, 
##     3.29, 2.84, 2.84, 2.87, 2.62, 2.54, 2.3, -2.36, -1.62, -1.11, 
##     -0.9, -0.74, -0.61, -0.48, -0.35, -0.1, 0.31, 1.01, 2.94, 
##     3.36, 3.98, 4.11, 4.16, 4.43, 4.45, 4.32, 4.19, 3.39, 3.12, 
##     2.71, 2.63, 2.57, 2.54, 2.3, 2.31, 0.75, -2.15, -3.07, -3.53, 
##     -3.69, -3.87, -3.95, -3.89, -4, -3.81, -3.26, -3.18, -3.24, 
##     -3.21, -3.21, -3.07, -1.56, -1.28, -0.63, -0.55, -0.4, 3, 
##     2.91, 2.62, 2.54, 2.25, 2.3, 1.28, -2.25, -2.59, -2.94, -2.97, 
##     -3.1, -3.37, -3.89, -3.93, -3.93, -4.26, -4.09, -3.9, -3.16, 
##     -2.62, -2.59, -2.46, -2.14, -1.75, -1.12, -1.04, -1.04, -0.8, 
##     -0.11, 0.39, 0.51, 0.71, 1.49, 1.8, 2.71, 4.75, 4.56, 4.27, 
##     4.08, 4.01, 3.64, 3.28, 2.97, 3.07, 2.67, 2.38, 2.01, -0.02, 
##     -3.39, -3.69, -3.92, -3.84, -4.24, -4.08, -4.14, -4.17, -3.6, 
##     -3.68, -3.55, -3.73, -3.45, -3.26, -3.16, -1.67, -1.65, -0.93, 
##     -0.27, -0.1, 0.1, 0.32, 0.53, 2.31, 2.86, 4.29, 3.81, 3.1, 
##     2.68, 2.7, -3.02, -3.31, -3.34, -3.21, -3.42, -3.44, -3.61, 
##     -4.26, -4.27, -3.98, -3.82, -3.48, -3.24, -3.39, -3.52, -3.31, 
##     -1.81, 0.21, 1.14, -3.29, -3.63, -3.53, -3.68, -3.84, -3.84, 
##     -4.14, -4.29, -4.69, -4.67, -4.74, -5.03, -4.8, -4.22, -3.98, 
##     -3.21, -2.33, -2.04, -1.61, -1.41, -0.02, 0.22, 1.19, 3.85, 
##     4.58, 4.06, 3.97, 3.76, 2.99, 2.75, 2.49, 2.15, 0.47, -0.08, 
##     -1.78, -3.32, -3.89, -4.34, -4.64, -4.38, -4.42, -4.7, -4.37, 
##     -4.4, -4, 3.03, 2.71, 2.54, 2.22, 2.2, 2.17, 2.31, 2.2, 1.98, 
##     1.98, 1.72, 0.5, 0.21, -0.43, -0.67, -1.93, -2.17, -2.42, 
##     -3.05, -3.32, -3.37, -3.37, -3.44, -3.31, -3.26, -3.15, -3, 
##     -2.65, -2.59, -2.39, -2.42, -0.79, 2.31, 2.73, 2.73, 2.71, 
##     2.57, 2.55, 2.26, 2.31, 2.31, 2.12, 2.31, 1.94, 1.64, 1.28, 
##     1.06, -1.04, -1.22, -1.4, -2.23, -2.42, -3.31, -3.24, -3.16, 
##     -2.94, -2.63, -1.33, 0.11, 0.75, 1.01, 1.16, 1.28, 1.49, 
##     2.04, 1.98, 2.31, 2.73, 2.41, 2.97, 3.28, 2.78, 2.84, 2.41, 
##     0.05, -0.02, 0, 0.02, 0.06, 0.08, 0.03, 0.06, 0.03, -0.03, 
##     0, 0, -0.06, -0.05, -0.02, -0.02, 0, -0.03, -0.05, -0.05, 
##     -0.08, -0.08, -0.08, -0.05, 0, -0.03, -0.11, -1.45, 2.73, 
##     2.92, 3.05, 3.44, 3.69, 3.48, 3.28, 3.4, 3.4, 3.31, 3.4, 
##     3.07, 2.68, 2.63, 2.1, 1.14, 0.75, 0.32, -0.14, -1.56, -1.83, 
##     -2.2, -4.61, -4.82, -4.72, -4.32, -3.79, -2.76, -1.69, -0.29, 
##     0.98, 1.53, 1.85, 2.65, 3.34, 3.48, 3.55, 3.58, 3.34, 3.29, 
##     3.26, 2.81, 2.73, 2.15, 1.96, 1.88, 1, 0.5, -0.79, -1.36, 
##     -1.75, -2.46, -3.6, -4.13, -4.22, -4, -4.08, -3.97, -3.6, 
##     1.64, 1.19, 1.11, 0.58, -0.95, -2.06, -2.6, -2.86, -3.48, 
##     -4.32, -4.54, -4.54, -4.09, -3.84, -3.53, -3.2, -3.07, -3.15, 
##     -2.94, -0.64, 0.29, 1.41, 2.18, 2.31, 2.49, -3.44, -4.69, 
##     -4.48, -4.32, -4.21, -4, -3.97, -3.07, -3.05, 2.87, 3.1, 
##     3.28, 3.9, 4.17, 3.71, 3.56, 2.91, 2.06, 2.04, 1.91, 1.83, 
##     1.75, 1.17, -1.67, -2.23, -4.42, -4.01, -3.63, -2.94, -2.67, 
##     -2.41, -1.12, 0.13, -0.31, -0.85, -2.2, -2.89, -3.5, -4.51, 
##     -4.53, -4.56, -4.56, -4.29, -4.21, -3.79, -3.48, -3.23, 2.83, 
##     2.44, 2.76, 2.57, 1.64, 0.47, 0.26, -0.19, -2.28, -3.03, 
##     -3.28, -4.08, -4.3, -4.45, -4.09, -3.77, -3.68, -2.71, -2.65, 
##     -2.5, 0.22, 0.61, 1.59, 2.17, 2.42, 2.78, 4.09, 4.13, 3.69, 
##     3.69, 3.31, 3.16, 3.13, 2.67, 2.62, 1.93, 0.45, 0.22, -0.18, 
##     -1.45, -2.15, -2.79, -3.95, -4.77, -4.93, -4.95, 2.52, -0.31, 
##     -0.61, -0.75, -0.51, -0.5, -0.26, -0.14, -0.19, 0.06, 0.14, 
##     0.02, 0.03, 0.06, 0.16, 0.05, -0.02, 0.03, 0.05, 0.06, 0.02, 
##     0.03, -0.02, -0.37, -0.55, -2.28, -4.77, -5.19, -4.93, -4.93, 
##     -3.93, -4.17, 0.22, 1.03, 1.51, 3.28, 5.04, 4.29, 5.06, 4.54, 
##     5.31, 2.92, 2.63, -1.33, -3.85, -5.59, -5.62, -4.43, -3.66, 
##     -3.24, -2.09, -0.16, 1.06, 1.73, 2.42, 5.04, -4.3, -5.06, 
##     -4.48, -3.32, -1.83, -1.25, 0.14, 1.36, 1.93, 2.28, 2.46, 
##     3.55, 3.98, 4.61, 5.28, 5.6, 3.52, 3.12, 1.43, 0.9, -0.03, 
##     -0.24, -2.34, -4.09, -4.43, -4.61, -4.96, -5.03, -4.88, -3.39, 
##     -2.87, -2.33, 0.56, 1.33, 1.72, 4.19, 4.56, 4.83, 4.82, 4.72, 
##     3.73, 2.89, 0.82, 0.13, -3.48, -5.06, -5.51, -5.48, -5.89, 
##     -6.13, -4.91, -3.76, -0.26, 1.91, 2.73, 3.16, 3.85, 4.26, 
##     4.58, 5.83, 5.57, 2.91, -0.22, -1.57, -2.44, -2.71, -4.82, 
##     -5.41, 1.11, 0.67, -0.93, -1.38, -1.69, -2.62, -3.32, -5.07, 
##     -5.43, -6.02, -5.72, -5.72, -3.89, 0.61, 3.92, 5.6, 5.43, 
##     4.72, 3.76, 2.47, 1.86, 0.66, -0.02, -0.58, -1.43, -1.65, 
##     -2.34, -6.37, -5.49, -4.99, -4.42, -4.13, -1.48, -0.29, 1.41, 
##     3.45, 3.36, 4.75, 5.72, 4.37, 4.27, 5.06, 3.98, 3.93, 3.93, 
##     3.69, 3.69, 0.72, 0.48, 0.02, -1.64, -2.46, -3.31, -5.89, 
##     -6.07, -3.45, -3.28, -1.77, -1.28, -0.26, 4.59, 4.14, 4.99, 
##     6.13, 6.13, 3.47, 3.73, 3.32, 2.68, 1, 0.43, 6.09, 4.08, 
##     4.5, 5.68, 3.47, 3.97, 2.75, 1.45, 1.27, -0.32, -1.04, -0.9, 
##     -0.19, 0, -0.05, -0.03, 1.01, 0.98, 1, 1.03, 0.88, 0.72, 
##     0.77, 1.48, 1.77, 2.31, 3.21, 3.21, 0.69, 0.67, 0.69, 0.74, 
##     0.69, 0.71, 0.67, 0.69, 0.69, 0.72, 0.74, 0.71, 0.55, 0.63, 
##     0.55, 0.61, 0.55, 0.61, 0.74, 0.72, 0.82, 0.83, 0.75, 0.82, 
##     0.8, 0.77, 0.88, 0.56, 0.55, 0.61, 0.61, 0.39, 0.31, 0.08, 
##     0.13, 0.27, 0.4, 0.4, 0.39, 0.22, 0.03, -1.16, -2.07, -2.54, 
##     -2.71, -2.25, -2.22, -1.8, -1.85, -1.27, -0.88, -0.37, -0.11, 
##     0.34, 0.43, 0.82, 1.61, 3.5, 3.69, 3.64, 3.42, 3.66, 3.58, 
##     2.87, 2.89, 2.68, 2.2, 2.14, 2.04, 2.01, 1.54, 1.08, 1.03, 
##     0.8, 0.69, 0.56, 0.35, -0.53, -0.69, -0.69, -0.8, -0.51, 
##     -0.35, 0.14, 0.83, 0.9, 1.22, 1.53, 2.71, 3.36, 3.58, 3.68, 
##     3.89, 3.81, 3.66, 3.52, 3.42, 0.43, -1.91, -2.36, -2.83, 
##     -2.94, -2.79, -2.54, -2.36, -2.2, -2.1, -1.96, -1.85, -1.73, 
##     -1.57, -1.61, -1.25, -1.04, -0.96, 0.05, 0.29, 0.87, 1.11, 
##     1.85, 2.09, 2.63, 2.79, 3.56, 3.89, 3.5, 3.68, 2.99, 2.94, 
##     3.36, 2.6, 2.33, 1.54, 1.49, 2.09, 0.66, 0.24, 0.22, 0.19, 
##     0.03, -0.03, -0.08, -0.74, -1.46, -1.59, -2.3, -3.37, -3.31, 
##     -2.76, -2.52, -2.46, -2.46, -2.49, 4.05, 3.87, 3.71, 3.26, 
##     3.13, 3.21, 2.79, 3.05, 1.69, 1.61, 1.73, 1.72, 1.56, 1.33, 
##     1.06, 0.93, 0.92, 0.19, -0.21, -0.96, -0.71, -0.67, -0.66, 
##     -0.37, 0.9, 1.14, 1.32, 1.67, 2.68, 2.89, 4.03, 4.64, 4.34, 
##     4.03, 3.1, 3.29, 3.32, 2.97, 2.81, 2.54, 2.17, 2.15, 1.64, 
##     1.62, 1.59, 1.54, 1.22, 1.19, 1.09, 0.71, 0.4, -0.69, -1.2, 
##     -1.53, -1.62, -2.1, -2.71, -2.7, -2.78, -3.24, -2.94, -2.09, 
##     -1.93, -1.88, -1.85, -1.51, -0.98, -0.64, -0.26, 0.35, 0.63, 
##     0.8, 1.24, 2.76, 3.45, 3.44, 3.18, 2.89, 2.83, 2.84, 2.83, 
##     2.7, 2.68, 2.15, 2.2, 2.15, 2.25, 2.46, 2.17, 1.96, 1.77, 
##     1.51, 1.43, 1.28, 1.17, 0.96, 0.22, -0.02, -0.29, -0.48, 
##     -1.11, -1.2, -1.3, -1.46, -1.78, -2.15, -2.38, -2.63, -3.13, 
##     -3.37, -2.95, -2.3, -2.09, -1.14, -1.01, -0.85, -0.67, -0.74, 
##     -0.79, -0.69, -0.58, -0.64, 0.63, 0.92, 1.22, 4, 3.45, 3.82, 
##     3.08, 3.5, 3.02, 2.42, 2.65, 1.96, 2.04, 2.15, 1.96, 1.8, 
##     1.51, 0.98, 0.87, 0.8, 0.69, 0.64, -1.32, -2.14, -2.46, -2.49, 
##     -2.7, -2.65, -2.5, -2.34, -2.2, -1.99, -1.25, -1.12, -2.34, 
##     -1.19, -0.42, 0.19, 0.56, 0.79, 1.12, 1.96, 2.62, 3.28, 3.12, 
##     3.26, 2.81, 1.85, 1.73, 1.53, 1.75, 1.83, 1.8, 1.65, 1.49, 
##     1.24, 1.25, 1.25, 1.2, 1.09, 1.08, 0.95, -1.49, -1.8, -2.41, 
##     -2.41, -2.76, -2.6, -2.52, -2.99, -2.42, -2.34, -1.91, -1.89, 
##     3.32, 3.08, 2.68, 2.49, 2.44, 1.99, 1.69, 1.61, 1.36, 1.25, 
##     1.17, 1.19, 1.01, 1, 0.92, 0.82, 0.75, 0.71, 1, 1.62, 1.86, 
##     2.49, 2.34, 2.2, 2.75, 2.46, 2.49, 0.98, 0.92, 0.67, 0.5, 
##     0.51, 0.18, 0.08, 0.1, -0.37, -0.71, -1.2, -1.57, -1.56, 
##     -1.67, -2.07, -2.14, -1.61, 1.65, 0.98, 1.2, 1.09, 1.2, 1.3, 
##     1.01, 1.24, 1.01, 0.82, 0.77, 0.42, 0.31, -0.55, -0.64, -0.82, 
##     -1.38, -1.7, -1.86, -1.51, -0.88, 0.69, 1.3, 1.36, 2.01, 
##     1.69, 2.04, 2.1, 1.88, 2.01, 1.88, 1.65, 2.44, 1.46, 1.41, 
##     1.27, 1.43, 1.25, 1.14, 1.36, 1.04, 0.82, 0.75, 0.71, 0.45, 
##     0.37, -0.1, -0.75, -0.79, -1.28, -2.02, -2.18, -2.12, -2.3, 
##     -2.12, -2.6, -2.06, -1.67, -1.16, -0.79, -1.12, -1.2, -0.75, 
##     -0.93, -1.08, -1.38, -1, -0.95, -0.98, -0.66, -0.5, 0.72, 
##     1.35, 1.38, 1.41, 1.4, 1.32, 1.49, 1.57, 1.75, 1.75, 1.78, 
##     1.36, 1.56, 1.14, 1.46, 1.36, 1.28, 0.79, 0.16, -0.02, -0.02, 
##     0, 0.02, 0.1, 0.08, 0.03, 0.03, 0, 0.03, 0.03, -0.53, -2.1, 
##     -2.3, -2.23, -2.17, -2.75, -2.6, -2.86, -2.94, -2.78, -3.02, 
##     -3.15, -2.94, -2.87, -2.78, 2.75, 3.52, 3.56, 3.81, 3.98, 
##     3.53, 3.66, 3.28, 3.34, 2.97, 2.87, 2.92, 2.84, 2.59, 2.22, 
##     1.99, 1.69, 1.54, 0.92, 0.92, -2.65, -2.3, -2.22, -2.23, 
##     -2.09, -1.7, -1.14, -0.43, 0, 1.75, 3.15, 3.55, 3.42, 3.55, 
##     3.81, 3.93, 2.86, 2.89, 2.57, 2.36, 1.59, 1.3, 0.82, 0.56, 
##     0.11, 0, -1.11, -1.41, -1.94, -2.84, -2.83, -3.18, -3.15, 
##     -3.44, -3.36, -2.06, -2.06, -1.89, -2.07, -2.06, -1.61, -1.56, 
##     0.29, 0.4, 1.06, 1.12, 1.19, 1.35, 1.49, 1.89, 1.93, 2.2, 
##     2.62, 2.76, 2.59, 2.38, 2.3, 2.36, 2.79, 3.32, 1.75, 1.49, 
##     1.41, 1.24, 0.32, -0.14, -0.96, -1.12, -1.24, -2.07, -2.65, 
##     -3.16, -3.93, -3.9, -3.37, -2.71, -2.73, -2.5, -2.26, -2.22, 
##     -1.81, -1.51, -1.35, -1.56, -1.88, -1.73, -0.98, -0.74, -0.35, 
##     0.53, 0.63, 0.63, 1.35, 1.98, 2.78, 3.13, 2.67, 2.75, 2.86, 
##     2.78, 2.79, 2.73, 2.7, 2.3, 2.04, 1.8, 1.51, -2.52, -2.89, 
##     -2.84, -2.6, -2.07, -2.07, -1.85, -1.85, -1.89, -1.91, -1.8, 
##     -1.08, -0.9, 0.06, 0.64, 0.67, 0.98, 1.59, 2.06, 2.28, 2.34, 
##     2.68, 2.86, 3.05, 3.18, 2.71, 2.7, 2.76, 2.7, 2.54, 2.54, 
##     1.88, 1.96, 2.2, 2.41, 1.98, 1.64, 1.51, 1.48, 1.11, 1.01, 
##     0.92, 0.42, 0.24, 0, -0.31, -0.55, -1.62, -2.15, -1.22, -1.35, 
##     -1.61, -1.43, 0.39, 2.09, 2.42, 2.17, 3.1, 2.99, 2.91, 3.1, 
##     3.03, 3.68, 2.7, 2.95, 3.32, 2.34, 2.04, 1.69, 1.57, 0.45, 
##     0.26, 0.06, -0.47, -0.51, -0.64, -1.41, -1.59, -1.7, -1.85, 
##     -2.44, -2.79, -2.79, -2.97, -2.89, -2.83, -2.73, -2.65, -2.39, 
##     -1.8, -1.67, -1.54, -1.54, -1.73, 1.19, 1.51, 1.7, 2.04, 
##     2.34, 2.78, 2.57, 2.6, 2.89, 2.1, 1.98, 1.81, 1.46, 1.11, 
##     0.34, 0.31, 0.29, 0.13, -0.22, -0.93, -1.3, -2.02, -2.01, 
##     -2.46, -2.86, -2.91, -2.81, -2.76, -2.78, -2.68, -2.31, -2.12, 
##     -1.83, -1.78, -1.7, -1.7, -0.9, -0.05, 0.19, 0.63, 0.66, 
##     0.98, 1.35, 1.62, 1.81, 1.98, 2.52, 2.55, 2.67, 2.76, 2.87, 
##     3.02, 2.91, 1.25, 1.12, 1.04, -1.99, -1.86, -1.57, -1.24, 
##     -0.8, -0.37, -0.37, -0.51, -0.39, 0.02, 0.56, 0.85, 0.85, 
##     0.82, 2.63, 2.18, 2.09, 2.06, 1.89, 1.62, 1.73, 1.61, 1.83, 
##     1.69, 1.45, 1.35, 1.19, 1.04, 1.01, 1.17, 1.27, 1.38, 1.3, 
##     0.9, 0.9, 1.17, 1.19, 0.22, -0.14, -0.34, -1.2, -1.25, -1.59, 
##     -1.72, -1.96, -1.8, -1.38, -1.53, -1, -0.75, -0.37, -0.13, 
##     -0.14, -0.19, -0.06, 0.05, 0.08, 0.16, 0.35, 0.5, 0.64, 0.66, 
##     0.71, 0.8, 0.72, 0.83, 0.77, 0.85, 0.83, -2.83, -2.91, -2.55, 
##     -2.54, -2.36, -1.88, -1.8, -1.69, -1.61, -1.48, -1.46, -1.24, 
##     0.96, 0.66, 0.1, -0.27, -0.51, -0.72, -0.83, -1.33, -2.12, 
##     -2.14, -2.41, -2.44, -2.41, -2.47, -2.38, -2.46, -2.3, -2.42, 
##     -2.7, -2.83, -3.21, -2.92, -2.62, -2.76, -2.5, -2.59, -2.34, 
##     -2.3, -2.28, -2.25, -2.42, -2.6, -2.57, -0.87, -0.58, 0.39, 
##     0.58, 0.77, 0.87, 1.04, 1.25, 2.23, -1.57, -1.7, -2.22, -2.17, 
##     -2.31, -1.72, -1.2, -1.08, -0.74, -0.72, -1.51, -1.53, 0.32, 
##     0.32, 0, -0.06, -0.02, -0.02, -0.03, 0, 0.1, -0.02, 0.03, 
##     -1.11, -1.69, -2.31, -3.4, -4.22, -4.83, -6.12, -5.56, -5.17, 
##     -3.64, -3.31, -3.32, 3.31, 4.05, 4.8, -4.69, -4.61, -3.31, 
##     -3.16, -2.55, -0.87, 3.76, 4.03, 5.4, 5.12, 3.4, 4.42, 3.93, 
##     3.61, 3.82, 3.85, 4.58, 3.4, 2.97, 2.99, 2.63, 0.83, 0.63, 
##     0.21, -0.06, -0.47, -1.65, -1.77, -3.16, -3.77, -0.05, 0.03, 
##     0.02, -0.03, -0.02, 0.02, 0.03, 0.03, -0.03, -0.02, 0, 0.02, 
##     0.02, -0.02, 0, 0, 0, 0, 0.05, -0.02, 0.02, -3.44, -3.42, 
##     -3.34, -2.92, -2.02, -1.54, -0.31, 0.21, 0.42, 0.74, 1.59, 
##     2.47, 3.13, 3.42, 4.32, 4.48, 2.04, 2.54, 3.32, 3.4, 3.55, 
##     4.21, 3.9, 3.9, 3.64, 3.48, 3.32, 2.62, 2.42, 0.93, -1.54, 
##     -2.14, -2.59, -2.97, 0.06, 1.57, 2.1, 2.67, 2.83, 3.76, 4.46, 
##     4.4, 4.26, 3.74, 3.07, 1.14, -0.83, -2.38, -3.16, -3.29, 
##     -3.28, -3.64, -3.66, -3.45, -3.44, -3.56, -3.79, -3.77, -3.74, 
##     -3.69, -3.44, -2.95, -0.24, -0.26, -0.24, -0.27, -0.24, -0.22, 
##     -0.22, -0.18, -0.13, -0.1, -0.11, -0.18, -0.5, -0.26, -0.26, 
##     -0.31, -0.27, -0.19, -0.14, -0.16, -0.19, -0.19, -0.16, -0.16, 
##     -0.22, -0.26, -0.21, 2.95, 3.52, 1.91, 1.89, 2.04, 1.75, 
##     0.19, 0.05, -0.08, -0.69, -1.51, -2.26, 2.73, 2.38, 2.07, 
##     0.98, 0.85, 0.8, 0.39, -1.16, -1.36, -1.49, -3.52, 2.54, 
##     2.47, 2.01, 2.23, 1.59, 1.28, 1.08, 0.69, 2.84, 3.02, -4.85, 
##     -4.3, -2.89, -2.71, -1.67, 0.48, 0.59, 1.09, 1.67, 1.91, 
##     2.38, -3.16, -3.05, -1.99, -1.3, -0.61, 0.05, 0.87, 1.06, 
##     1.72, 2.28, 2.81, 3.12, 3.52, 3.76, 3.58, 3.4, 3.36, 3.1, 
##     0.87, 2.07, 2.83, 3, 3.1, 3.5, 3.39, 3.48, 3.29, 2.76, 2.71, 
##     2.42, 2.38, 3.23, 3.23, 3.18, 2.75, 2.65, 2.34, 2.47, 2.26, 
##     2.15, 1.54, 0.92, -1.36, -2.42, -2.26, -0.34, 0.88, 1.03, 
##     1.61, 3.23, 3.48, 3.6, 3.5, 3.44, 2.73, 2.62, 2.94, 3.13, 
##     3.29, 3.61, 3.63, 3.77, 3.95, 3.58, 2.78, 2.78, 2.91, 2.76, 
##     2.17, 1.54, -0.24, -1.73, -3.5, -3.84, -4.66, -5.06, -4.9, 
##     -4.5, -4.37, -4, -3.81, -3.58, -2.84, -2.57, -1.96, 0.05, 
##     1.57, -1.67, -1.93, -3.08, -3.29, -3.53, -4.24, -4.09, -4.19, 
##     -4.3, -3.1, -2.73, -2.39, -2.22, -1.88, -1.56, -1.14, -0.29, 
##     0.67, 0.85, 2.02, 1.89, 1.41, 1.11, 0.45, 0.02, -0.06, -0.22, 
##     -0.13, 0.03, 0.06, 0.1, 0.05, 2.2, 2.3, 2.2, 1.73, 1.25, 
##     0.87, 0.5, 0.26, -0.48, -0.71, -1.14, -1.4, -1.83, -2.17, 
##     -4.19, -3.93, -3.89, -3.73, -3.31, -3.31, 2.47, 3.18, 3.13, 
##     3.55, 3.58, 3.2, 3.16, 2.81, 2.67, 2.26, 2.09, 1.65, 0.51, 
##     -0.61, -1.73, -1.89, -2.09, -2.34, -3, -3.26, -4, -4.09, 
##     -4.11, -1.69, 2.1, 2.57, 2.67, 2.75, 2.63, 2.76, 3.4, 3.6, 
##     3.95, 3.64, 3.69, 3.87, 3.23, 3.05, 3.07, 2.86, 2.09, 1.46, 
##     0.96, 0.98, 0.66, 0.34, -0.13, -0.55, -0.85, -1.08, -1.14, 
##     -1.45, -1.35, -1.48, -1.8, -2.52, -2.41, -2.28, -2.1, -1.96, 
##     -2.04, -1.83, -1.73, -1.62, -0.8, -0.39, 0.24, 0.39, 0.53, 
##     0.55, 0.5, 0.63, 0.64, 0.9, 1.43, 1.89, 1.77, -2.5, -2.54, 
##     -2.78, -2.68, -2.71, -2.54, -2.52, -2.04, -1.7, -1.48, -0.11, 
##     0.06, 0.21, 0.64, 0.58, 1.56, 1.98, 2.22, 1.91, 1.94, 1.91, 
##     2.09, 2.22, 1.4, 1.38, 1.28, 1.35, 0.63, 0.43, 0.37, 0.13, 
##     0.16, -0.13, -0.93, -0.95, -1.06, -1.27, -2.26, -2.25, -2.28, 
##     -1.16, -1.01, -0.82, 0.88, 0.96, 1.16, 1.25, 1.78, 1.65, 
##     2.1, 2.1, 1.99, 1.91, 2.06, 2.2, -0.06, -0.16, -0.11, -0.61, 
##     -1.3, -1.28, -1.48, -1.98, -2.18, -2.22, -2.36, -2.46, -2.31, 
##     -2.46, -2.15, 0.42, 0.61, 0.74, 0.83, 1.56, 1.25, 1.7, 1.98, 
##     2.68, 2.14, 2.3, 1.75, 1.27, 1.35, 1.4, 1.32, -0.02, -0.1, 
##     -0.39, -1.33, -1.33, -1.73, -2.06, -2.34, -2.62, -2.57, -2.73, 
##     -2.54, -1.45, -0.16, 1.12, 0.96, 1.4, 2.38, 2.65, 2.25, 1.8, 
##     2.01, 1.73, 1.54, 1.53, 0.63, -0.22, -0.31, -0.61, -1.32, 
##     -1.83, -1.89, -1.96, -2.38, -2.15, -2.18, -1.85, -0.74, -0.58, 
##     0.24, 0.39, 0.93, 0.88, 2.2, 1.64, 2.36, 2.36, 1.85, 1.45, 
##     1.03, 0.75, 0.55, 0.22, 0.03, 3.87, 3.47, 3.32, -2.36, -4.3, 
##     -4.85, -4.64, -4.14, -4.05, -3.55, -3.2, -3.34, -3.31, -3.24, 
##     -3.56, -3.5, -2.25, -1.98, -1.65, -1.57, -1.3, -0.31, 0.13, 
##     0.95, 2.49, 3.12, 4.74, 4.75, 4.72, 4.69, 4.51, 3.32, 3.12, 
##     2.57, 2.39, -0.11, -3.32, -3.69, -3.84, -3.95, -4.53, -4.45, 
##     -4.53, -4.35, -3.56, -3.37, -2.39, -1.78, -1.36, -0.55, -0.42, 
##     -0.16, -0.34, -0.48, -0.21, -0.22, -0.37, -0.32, -0.18, -0.06, 
##     0.06, 0.75, 1.93, 2.01, 1.96, 1.93, 2.46, 3.28, 3.21, 2.73, 
##     1.51, -0.13, -0.43, -2.12, -2.2, -2.54, -2.83, -3.13, -2.81, 
##     -2.47, -2.86, -2.59, -2.39, -1.57, -1.25, -0.83, -0.69, -0.37, 
##     -0.31, -0.21, -0.03, 0.1, 0.32, 1.16, 1.32, 3.02, 3.31, 3.64, 
##     3.47, -1.54, -0.29, 0.03, 0.53, 1.53, 3.07, 3.21, -2.59, 
##     -2.62, -2.46, -2.65, -1.11, -0.88, -0.75, -0.58, -0.21, -0.1, 
##     -0.03, 0.03, 0.19, 3.55, 3.47, 3.32, 3.29, -0.82, -2.3, -2.44, 
##     -2.79, -3.52, -2.91, -2.76, -1.86, -0.69, 0, 0.22, 0.43, 
##     1.45, 1.7, 2.38, 2.99, 3.15, 2.67, 2.47, -1.4, -2.12, -2.47, 
##     -2.78, -3.23, -3.64, -3.9, -3.77, -3.68, -3.55, -2.6, -2.6, 
##     -2.33, -1.48, -1.01, -0.9, -0.67, -0.55, -0.03, 0.31, 0.87, 
##     1.61, 2.62, 2.92, 3.52, 3.63, 3.74, 3.69, 3.84, 3.63, 0.9, 
##     -0.14, -0.53, -0.95, -2.3, -2.5, -3.02, -3.18, -3.18, -3.29, 
##     -3.52, -3.55, -3.84, -3.1, -3.5, -2.87, -2.39, 0.11, 0.88, 
##     2.78, 3.63, 3.45, 3.47, 3.12, 2.73, 2.31, 1.75, -1.04, -1.49, 
##     -2.71, -3.02, -3.12, -3.05, 0.61, 1.12, 1.36, 1.7, 2.28, 
##     2.75, 2.91, 3.53, 3, 3.08, 2.23, 1.98, -0.53, -1.57, -1.85, 
##     -1.98, -2.57, -3.31, -2.83, -3.18, -3.55, -2.99, -3.05, -3.15, 
##     -2.01, -0.39, 0.16, 0.35, 0.47, 0.82, 1.78, 2.7, 3.32, 3.18, 
##     3.18, 3.23, 3.1, 3.1, 3.44, 3.55, 3.61, 3.63, 4.19, 4.09, 
##     3.79, 3.74, 3.21, 3, 2.84, 2.55, 2.57, 1.73, 0.67, 0.58, 
##     0.35, 0.06, 0.02, -0.03, 0.06, 0.27, 0.27, 0.22, 0.19, 0.11, 
##     0.14, 0.19, 0.19, 0.21, 0.13, -0.05, -0.13, -0.13, -0.16, 
##     -0.06, -0.03, -0.13, 0.03, 0.03, -0.02, -0.03, 0.03, 0, -0.03, 
##     -0.02, -0.03, -0.02, -0.02, 0.06, 0.11, 0.24, -0.05, 0.06, 
##     0.05, 0.05, 0.14, 0, 0.05, -0.19, -0.19, -0.21, -0.34, -0.34, 
##     -0.24, -0.11, -0.13, 0.05, 0.05, 0.1, 0.02, 0, 0.03, 0.02, 
##     -0.14, -0.18, -1.01, -1.32, -1.67, -2.55, -2.62, -2.6, -2.42, 
##     -2.25, -2.31, -2.28, -2.15, -2.07, -1.77, -1.7, -1.51, -0.32, 
##     1.17, 1.45, 1.91, 1.77, 2.34, 2.17, 2.26, 2.34, 2.1, 1.89, 
##     1.83, 1.72, 1.7, 1.56, 1.33, 0.51, 0.29, -0.11, -0.47, -0.87, 
##     -2.47, -2.55, -2.54, -2.84, -2.92, -2.02, -1.88, -0.61, -0.27, 
##     1.67, 2.62, 2.84, 3.02, 2.99, 2.57, 1.3, 0.82, 0.26, -0.18, 
##     -1.85, -2.52, -2.62, -2.7, -2.44, -2.23, -1.88, -1.57, 0.58, 
##     0.85, 1.16, 1.61, 2.25, 2.22, 2.34, 2.89, 2.54, 2.33, 2.28, 
##     2.17, 2.42, 1.2, 0.37, 0.08, -0.56, -1.22, -1.48, -1.7, -2.81, 
##     -3.03, -3.12, -3.45, -3.16, -0.95, -0.26, -0.02, 1.51, 2.75, 
##     2.78, 2.3, 2.44, 2.78, 2.42, 2.41, 2.41, 0.74, 0.35, 0.14, 
##     -0.14, -0.74, -1.45, -3.15, -3.5, -3.61, -3.63, -3.45, -2.41, 
##     -0.05, 0.9, 1.3, 1.77, 1.86, 2.38, 2.68, 3.08, 3.12, 3.24, 
##     3.21, 3.16, 3.36, 3.6, 3.48, 1.72, -0.13, -1.03, -3.26, -3.47, 
##     0.4, 0, -0.66, -1, -1.75, -2.31, -2.46, -3.21, -3.42, -2.97, 
##     -2.91, -2.33, -0.42, 1.36, 1.64, 2.52, 2.87, 2.84, 2.73, 
##     3.02, 2.46, 2.17, 1.91, 1.53, 1.14, -0.18, -0.95, -2.49, 
##     -3.45, -3.48, -3.37, -3.26, -2.83, -2.46, -1.01, -0.03, 0.72, 
##     1.17, 3.05, 2.99, 3.42, 2.89, 2.67, 2.39, 2.39, 2.28, 0.51, 
##     -0.13, -0.4, -1.41, -2.68, -2.75, -3.03, -3.2, -1.22, 0, 
##     -0.08, 0.03, -0.06, -0.03, -0.13, -0.19, -1, -2.06, -2.28, 
##     -2.78, -2.5, -2.62, -2.68, -2.55, -2.34, -1.99, -0.82, -0.22, 
##     0.21, 0.51, 0.79, 0.51, 1.89, 1.65, 3.87, 2.18, 3.58, 1.94, 
##     2.86, 2.12, 2.57, 3.03, 1.19, 1.16, 0.31, -0.1, -0.37, -1.16, 
##     -1.53, -1.98, -2.42, -3.13, -3.16, -3.18, -3.37, -3.23, -2.83, 
##     -1.49, -0.9, 0.37, 0.74, 1.4, 1.64, 2.73, 4.16, 1.96, 0.42, 
##     0.14, -0.67, -0.64, -1.94, -2.36, -2.87, -3.95, -4.13, -4.06, 
##     -4.19, -3.74, -3.34, -2.91, -0.63, 0.35, 0.45, 0.56, 0.83, 
##     1.08, 1.36, 2.62, 1.98, 3.31, 3.1, -1.54, -0.53, -0.34, -0.02, 
##     0.79, 0.87, 2.1, 1.72, 3.1, 4.16, 1.99, 0.59, 0.16, 0.19, 
##     -0.75, -1.75, -2.12, -3.85, -3.85, -3.92, -3.93, -3.82, -1.22, 
##     -0.74, -0.18, 0.08, 1.28, 4.06, 3.13, 2.12, 1.06, 0.16, -0.21, 
##     -0.74, -0.95, -1.09, -1.32, -1.67, -4.16, -4.3, -3.82, -4, 
##     -3.82, -3.66, -2.68, -1.73, 0.02, 0.47, 3.28, 2.92, 2.67, 
##     2.63, 2.81, 2.33, 2.41, 1.96, 1.32, 1.11, 0.11, -0.61, -0.69, 
##     -1.36, -2.3, -3.53, -4.05, -3.42, -2.97, -1.45, -1.01, -0.51, 
##     -0.26, -0.14, 1.11, 1.91, 1.93, 2.67, 3.47, 3.58, 3.08, 2.38, 
##     0.24, -0.11, -0.69, -0.92, -1.33, -2.89, -3.13, -3.97, -4.78, 
##     -3.66, -1.73, -0.37, 2.26, 4.03, 3.15, 3.82, 2.75, 3, 2.02, 
##     0.34, 0.06, -0.31, -1, -1.25, -2.63, -3.81, -3.69, -3.58, 
##     -1, 0.08, 1.09, 2.67, 3.56, 3.77, 4.9, 4.66, 3.15, 3.6, 2.25, 
##     1.91, 1.61, -0.88, -1.16, -1.75, -3.03, -3.1, -3.52, -3.63, 
##     -4.03, -3.45, -3.69, -2.97, -2.44, -1.48, -0.11, 0.34, 0.64, 
##     0.58, 2.06, 2.3, 3.56, 1.96, 2.76, 2.73, 1.91, 2.31, 0.51, 
##     0.26, -0.03, -0.32, -0.51, -0.45, -0.21, -0.11, -0.03, 0.03, 
##     0.08, 0.08, 0.1, 0.19, 0.08, 0.02, -0.03, -0.13, -0.03, -0.05, 
##     -0.08, 0.03, 0.03, 0.06, 0.1, -0.03, -0.05, -0.05, 0, 0, 
##     0, -0.03, -0.08, -0.06, -0.48, -1.28, -3.02, -3.79, -3.79, 
##     -3.79, -4.22, -4.7, -4.88, -4.75, -4.62, -4.82, -4.54, -4.08, 
##     -4.34, -3.26, -0.35, 0.4, 2.38, 2.87, 4.72, 5.38, 5.51, 3.53, 
##     2.81, 1.35, -4.59, -5.48, -5.52, -5.78, -4.53, -4.4, -4.46, 
##     0.58, 1.38, 4.05, 4.06, 2.81, 3.73, 3.69, 3.5, 2.92, 1.04, 
##     -0.05, -0.63, -0.74, -0.47, -0.32, -0.11, -0.05, 0.18, 0.16, 
##     0.1, 0.02, -0.06, -0.03, -0.02, 0, 0.02, -0.1, -0.08, 0.05, 
##     0.05, 0.05, -0.02, 0, -0.03, -0.02, -0.19, -0.26, -0.47, 
##     -0.69, -0.74, -1.36, -1.43, -1.93, -2.23, -2.23, -0.63, 1.59, 
##     -0.88, 0.71, 0.4, -0.53, -0.74, -0.63, 0.1, 0.03, -0.02, 
##     -0.14, -0.06, -0.02, -0.02, 0.02, 0.08, 0.08, 0.1, 0.03, 
##     -0.08, -0.1, -0.06, -0.13, -0.06, 0.48, -0.1, -2.23, -2.39, 
##     -2.68, -2.62, -2.7, -2.67, -2.47, -2.17, -2.09, -1.94, -1.35, 
##     -1.32, -0.98, -0.9, -0.06, -0.22, -0.96, -1.09, -1.49, -2.44, 
##     -2.31, -2.46, -2.46, -2.36, -1.99, -2.02, -1.88, -1.77, -1.64, 
##     -1.62, 4.05, 3.97, 3.82, 2.91, 2.89, 2.49, 2.49, 2.12, 1.93, 
##     1.99, 1.72, 1.65, 1.62, 1.57, 1.43, 1.35, 1.41, 1.4, 1.36, 
##     1.3, 1, 0.8, 0.51, -0.11, -0.64, -0.72, -1.33, -1.56, -1.57, 
##     -2.07, -2.39, -2.52, -2.78, -3.18, -3.28, -2.91, -2.07, -1.75, 
##     -1.24, -1.2, -0.45, -0.31, 0.11, 0.93, 1.2, 1.77, 3.93, 4.3, 
##     5.06, 5.54, 4.96, 4.7, 4.66, 3.26, 2.76, 2.33, 1.46, 0.85, 
##     0.93, 1.16, 0.55, 0.71, 0.51, -0.24, -0.19, 0.43, 1.16, 0.32, 
##     0.24, 0.4, 0.42, 0.1, 0.34, 0.19, 0.16, 0.35, 0.35, 0.21, 
##     0.18, 0.93, 0.83, 0.74, 0.67, 0.61, 0.59, 0.66, 0.75, 0.82, 
##     0.83, 0.95, 0.67, 0.79, 0.48, 0.43, 0.29, 0.19, 0.03, -0.08, 
##     -0.21, -0.1, 0.06, 0.16, 0.06, -0.32, -0.72, -1.98, -1.65, 
##     -0.42, -0.14, 0.11, 0.05, 0.11, 0.39, 0.4, 0.5, 0.58, 1.06, 
##     1.59, 1.62, 2.12, 2.47, 2.25, 2.14, 1.83, 1.93, 0.71, 0.29, 
##     0.05, -0.16, -1.08, -1.27, -1.69, -1.67, -1.45, -1.28, -1.41, 
##     -1.11, -1.01, -0.58, -0.37, -0.35, -0.43, -0.08, 0, 0.37, 
##     0.34, 0.77, 1.17, 1.3, 1.7, 2.2, 2.1, 2.59, 2.55, 2.52, 2.41, 
##     1.41, 1.53, 1.51, 1.38, 1.57, 1.06, 1.08, 1.04, 1.28, 1, 
##     1, 1.03, 1.04, 0.88, 0.63, 0.51, 0.5, 0.45, 0.27, 0.27, -0.42, 
##     -0.77, -0.71, -0.77, -1.32, -1.27, -1.28, -1.12, -0.64, -0.63, 
##     -0.26, -0.11, -0.13, -0.16, 0.31, 0.56, 0.5, 0.71, 0.66, 
##     0.98, 1, 1.2, 1.36, 1.93, 2.18, 2.14, 2.57, 2.6, 2.59, 2.89, 
##     2.38, 2.46, 2.04, 2.1, 1.46, 1.36, 1.4, 1.3, 1.27, 0.29, 
##     0.45, -0.93, -1.48, -1.54, -1.32, -1.41, -1.38, 2.84, 2.71, 
##     2.36, 1.78, 1.81, 1.61, 1.69, 1.49, 1.17, 1.14, 1.14, 1.11, 
##     1.11, 1, 0.82, 0.71, 0.43, 0.16, 0.16, -0.21, -0.19, -0.71, 
##     -1.46, -1.57, -1.64, -1.38, -1.25, -1.17, -1.17, -0.95, -0.75, 
##     -0.4, -0.27, -0.24, 0.32, 0.64, 2.39, 2.59, 2.76, 2.86, 2.59, 
##     2.49, 2.23, 2.02, 1.75, 1.3, 1.19, 0.98, 0.88, 0.88, 0.61, 
##     0.42, 0.35, -0.26, -0.83, -0.92, -1.01, -1.17, -1.12, -1.38, 
##     -1.28, -1.16, -0.87, 0.42, 0.53, 0.56, 0.64, 0.67, 1.04, 
##     1.25, 1.27, 1.99, 2.57, 2.89, 2.83, 2.22, 2.23, 2.17, 2.06, 
##     1.09, 0.45, 0.39, -1, -1.4, -1.43, -1.61, -1.54, -1.72, -1.86, 
##     -1.64, -1.36, -1.4, -0.95, -0.88, -0.51, -0.19, 0.02, 0.19, 
##     0.27, 0.4, 0.63, 0.69, 0.69, 1.75, -1.12, -0.95, -0.67, -0.51, 
##     0.05, 0.06, 0.64, 1.08, 1.04, 1.59, 1.86, 2.39, 2.59, 2.68, 
##     2.68, 2.14, 1.65, 1.88, 1.48, 1.41, 1.38, 1.09, 1.35, 1.3, 
##     1.27, 0.75, 0.93, 0.88, 0.79, 0.53, 0.8, 0.87, 1.32, 1.43, 
##     1.09, 0.95, 0.93, 0.8, 0.92, -1.19, -1.24, -0.88, -0.66, 
##     0.22, 0.48, 0.79, 0.87, 1.11, 1.25, 2.39, 2.86, 2.71, 1.45, 
##     1.49, 1.56, 1.25, 0.88, 0.77, 0.9, 0.83, 0.34, 0.37, 0.64, 
##     1.22, 1.4, 1.77, 1.88, 3.79, 3.74, 3.92, 3.98, 3.56, 3.36, 
##     2.97, 2.94, 2.67, 2.38, 2.12, 2.3, 1.64, 1.48, -2.26, -2.22, 
##     -2.23, -1.45, -1.61, -1.8, -1.17, -0.88, 0.26, 0.48, 0.75, 
##     0.88, 1.08, 1.64, 2.28, 3.18, 2.18, 2.28, 2.2, 2.14, 2.26, 
##     2.7, 2.01, 2.06, 2.14, 2.25, 1.88, 1.01, 0.85, 0.27, 0.32, 
##     0, -0.27, -0.32, -0.48, -0.8, -1.12, -1.57, -2.31, -2.44, 
##     -2.46, -3.21, -3.4, -3.28, -3.21, -2.94, -2.31, -2.23, -1.96, 
##     -1.51, -1.3, -1.27, -0.59, -0.06, 0.06, 0.43, 1.06, 1.19, 
##     1.25, 1.35, 1.53, 1.57, 1.67, 1.8, 1.99, 2.14, 2.22, 3.2, 
##     3.12, 3, 2.52, 2.63, 2.57, 2.57, 2.57, 2.75, 2.39, 1.96, 
##     1.65, 1.35, 1.33, 1.01, 0.48, -0.51, -0.59, -0.79, -1.03, 
##     -1.04, -1.03, -1.16, -1.59, -1.7, -1.81, -1.98, -2.18, -2.07, 
##     -1.75, -1.2, -1.22, -1.17, -1.03, -0.63, 0.37, 0.67, 0.75, 
##     0.24, -0.29, -0.42, -0.55, -0.67, -1.01, -1.24, -1.32, -1.67, 
##     -1.75, -1.8, -1.8, -2.09, -1.67, 1.59, 1.19, 1.24, 1.27, 
##     1.12, 1.14, 1.28, 1.51, 1.73, 1.27, 1.28, 1.36, 1.43, 1.45, 
##     1.36, 1.27, 1.11, 1.04, 0.72, -0.22, -1, -1.27, -1.86, -2.1, 
##     -2.28, -1.8, -1.7, -1.53, -1.4, -1.49, -1.12, -1.32, -1.27, 
##     -1.11, -0.4, 0.5, 1.46, 1.51, 1.56, 1.64, 1.65, 1.64, 1.77, 
##     1.43, 1.53, 1.49, 1.22, 1.22, 1.27, 1.17, 1.04, 0.95, 0.79, 
##     0.39, 0.14, -1.03, -1.2, -1.75, -2.06, -2.15, -2.14, -2.2, 
##     -2.22, -2.17, -2.01, -2.04, -1.96, -1.99, -1.7, -0.82, -0.77, 
##     0.4, 0.61, 0.71, 0.96, 1.48, 1.32, 1.8, 1.86, 1.69, 1.77, 
##     1.43, 1.45, 1.81, 0.79, 0.66, 0.45, -0.87, -0.98, -1.06, 
##     -0.98, -0.11, 0.18, 0.85, 1.25, 2.3, 1.72, 1.64, -2.57, -2.55, 
##     -1.86, -1.56, -1.27, -1.01, -0.82, -0.69, -0.27, -0.26, -0.22, 
##     -0.02, 0.18, 0.53, 0.79, 0.88, 1.11, 1.56, 1.67, 1.49, 1.59, 
##     1.75, 1.61, 1.09, 1.46, 1.32, 1.19, 1.14, 1.12, 1.03, 0.92, 
##     0.66, 0.48, -0.61, -1.06, 1.61, 1.67, 1.25, 1.19, 1.06, 1.09, 
##     0.72, 0.5, -0.26, -0.43, -0.71, -1.54, 0.19, -0.13, -0.58, 
##     -1.53, -1.77, -1.96, -2.2, -2.09, -2.26, -2.23, -1.94, -1.96, 
##     -1.57, -1.45, -1.38, -1.2, -1.11, -1.12, -0.8, -0.72, -0.67, 
##     -0.08, 0.03, 0.37, 0.87, 1.14, 1.57, 1.16, 1.27, 1.09, 1.53, 
##     1.54, 1.75, 1.69, 1.69, 1.51, 1.54, 1.49, 1.2, 1.16, 1.06, 
##     0.27, 0.06, -0.37, -0.56, -1.41, -1.59, -1.86, -2.26, -2.81, 
##     -3.36, -3.28, -2.46, 0.08, -0.11, -0.13, 0.08, 0, -0.02, 
##     -0.08, 0.11, 0.05, 0.05, 0.21, 0.21, 0.53, 0.03, 0, 0, 0.05, 
##     0.03, 0.05, 0.03, -0.03, 0.05, 0.05, 0, 0.02, -0.21, 3.42, 
##     2.52, 2.76, 2.57, 2.55, 1.99, 1.57, 0.96, 0.55, 0.43, -1.11, 
##     -3.28, -3.89, -4.13, -3.23, -3.44, -3.9, -3.18, -3.69, -2.89, 
##     -3.03, -3, -2.89, -2.59, -2.62, -2.23, -2.04, -0.82, -0.69, 
##     -0.22, 2.99, 2.44, -1.8, -2.67, -2.81, -2.73, -3.15, -3.21, 
##     -2.52, -3.07, -2.78, -2.83, 3.37, 3.16, 3.03, 3.15, 2.84, 
##     0.14, -1.27, -1.72, -2.02, -2.86, -3.03, -3.45, -3.16, -2.79, 
##     -2.47, -2.83, -2.94, -2.63, -2.6, -2.01, 0.29, 0.95, 1.2, 
##     2.22, 2.17, 2.36, 2.1, 1.59, 1.38, 0.26, 0.14, 0.18, 0.11, 
##     1.98, 2.02, 1.94, 0.96, 0.5, 0.39, -0.02, -0.08, -0.34, -0.85, 
##     -1.45, -2.49, -2.65, -2.79, -2.86, -2.76, -2.38, 2.1, 2.3, 
##     2.2, 1.51, 1.3, 1.2, 1.35, 0.71, 0.43, -0.16, -0.77, -1.86, 
##     1.8, 1.75, 1.65, 1.53, 1.51, 1.25, 0.88, 0.31, 0.34, -0.08, 
##     -0.39, -0.88, -1.16, -1.59, -2.06, -2.06, -1.99, -2.18, -2.14, 
##     -0.56, -0.06, 1.14, 1.77, 2.04, 1.99, 1.96, -4.13, -3.82, 
##     -1.86, -0.66, -0.21, 0.29, 1.19, 2.17, 2.55, 2.78, 3.18, 
##     3.6, 3.76, 4, 3.97, 4, 2.84, 2.68, 2.44, 2.02, 1.8, 1.73, 
##     -0.11, -0.03, -0.26, -0.21, -0.16, -0.13, -0.05, 0.03, 0.02, 
##     0.03, 0.08, 1.85, 1.96, 2.7, 2.68, 2.42, 3.32, 2.3, 1.98, 
##     1.91, 1.94, -1.62, -1.98, -3.02, -3.45, -3.47, -2.89, -2.62, 
##     -2.38, -2.2, 1.12, 2.17, 2.68, 2.67, 2.52, 2.75, 2.76, 2.28, 
##     1.49, 1.19, 0.02, -0.87, -1.09, -1.33, -1.81, -2.25, -3.13, 
##     -3.34, -3.18, -3.05, -2.86, -1.43, -1.7, -2.15, -2.36, -2.62, 
##     -2.76, -2.79, -2.15, -0.06, 1.3, 1.69, 2.09, 2.46, 2.62, 
##     2.44, 2.44, 2.75, 2.71, 2.34, 2.36, 2.07, 1.81, 1.41, -0.13, 
##     -0.51, -1.41, -1.61, -1.81, -1.99, -2.67, -3.07, -2.65, -2.55, 
##     -2.3, -2.2, -1.86, -1.16, 0.8, 1.51, 1.64, 2.22, 2.52, 2.46, 
##     2.38, -0.9, -1.77, -1.96, -2.12, -2.34, -2.38, -2.75, -2.73, 
##     -2.73, -2.79, -2.38, -2.59, -1.88, -1.43, -1.19, 0.05, 2.5, 
##     2.57, 1.93, 1.88, 1.73, 1.45, 1.33, 0.87, 0.79, 0.34, 0.22, 
##     0.1, 0.1, -0.51, -0.77, -1.19, -1.25, -1.64, -1.88, -2.14, 
##     -2.52, -2.41, 1.56, 2.07, 1.75, 1.67, 1.73, 1.43, 1.56, 1.12, 
##     0.66, 0.47, 0.14, 0.14, 0.11, 0.02, -0.66, -0.87, -1.17, 
##     -1.11, -1.25, -2.36, -2.09, -2.7, -0.48, 0.08, 0.26, 0.26, 
##     0.24, -0.61, -0.85, -1.3, -1.89, -2.81, -2.46, -0.82, 2.28, 
##     2.97, 2.14, 2.73, 2.81, 1.43, 0.08, 0.18, -0.05, -0.22, -0.19, 
##     -0.35, -0.55, 2.44, 2.06, 2.12, 1.96, 1.56, 1.88, 1.91, 0.85, 
##     0.31, 0.06, 0.1, -0.19, -0.45, -1.01, -1.81, -1.99, -2.67, 
##     -3.24, -3.31, -3.23, -2.92, -1.91, 1.59, 1.98, 2.3, 2.6, 
##     2.41, 2.36, 1.96, 0.27, 0.13, 0.18, -0.22, -0.47, -0.74, 
##     -1.03, -1.51, -1.64, -1.73, -2.02, -2.23, -2.89, -3.42, -3.21, 
##     -2.99, -1.36, -2.01, -2.28, -2.41, -2.55, -2.57, -2.79, -2.79, 
##     -2.5, -2.42, -2.12, -1.8, 0.5, 0.83, 1.86, 2.6, 2.49, 2.44, 
##     2.09, 2.38, 2.1, 2.06, -0.29, -0.27, -0.26, -0.29, -0.37, 
##     -0.37, -0.39, -0.82, -1.57, -1.98, -2.2, -2.5, -2.86, -2.91, 
##     -2.87, 0.55, 0.32, 0.05, 0.03, -0.13, -0.18, -1.89, -2.36, 
##     -2.36, -2.42, -2.41, -2.34, -2.33, -0.83, 1.01, 1.2, 2.28, 
##     2.65, 2.2, 2.76, 2.87, 2.17, 2.17, 1.53, 0.61, 0.61, 0.56, 
##     0.18, 0.22, 0.22, 0.08, -0.5, -1.54, -1.77, -1.91, -2.01, 
##     -2.15, -2.5, -2.28, -1.08, 1.81, 2.02, 2.26, 2.28, 3.03, 
##     2.06, 0.83, 0.26, 0.11, -0.1, -0.42, -0.5, -0.72, -0.88, 
##     -2.54, -2.67, -2.86, -2.6, -2.55, -2.33, -0.13, 0.69, 2.67, 
##     2.46, -0.75, -1.03, -1.35, -1.56, -1.35, -1.45, -1.64, -1.65, 
##     -1.49, -1.27, -0.37, 0.61, -1.25, -2.01, -2.01, -2.04, -1.61, 
##     -1.93, -1.62, -1.8, -1.03, 0.75, 1.32, 1.36, 1.46, 1.54, 
##     1.48, 1.61, 1.67, 1.77, 1.65, 1.49, 1.72, 1.7, 1.65, 1.45, 
##     1.45, 1.33, 1.33, 1.2, 0.24, -0.39, -1.04, -1.41, -1.91, 
##     -1.57, -1.65, -1.56, -1.51, -1.38, -1.38, -1.38, -1.16, 0.34, 
##     0.5, 0.87, 1.2, 1.35, 1.75, 2.06, 1.98, 2.07, 2.07, 1.89, 
##     1.35, 1.04, 1.77, 1.48, 1.57, 1.32, 1.61, 1.03, -0.29, -0.61, 
##     -0.67, -0.8, -0.82, -0.96, -1.32, -1.41, -1.49, -1.89, -2.02, 
##     -1.91, -1.67, -1.49, -1.41, -1.16, -1.24, -1.38, -1.35, -0.08, 
##     0.1, 0.77, 0.8, 1.06, 1.85, 1.91, 1.83, 1.73, 1.73, 2.04, 
##     1.22, 1.28, 1.3, 1.25, 1.16, 0.55, 0.16, -0.21, -0.58, -1.3, 
##     -1.4, -1.81, -1.83, -1.72, -1.69, -1.73, -1.7, -1.33, -1.4, 
##     -1.43, -1.45, -0.87, 0.43, 0.85, 0.88, 1.09, 2.31, 2.3, 2.18, 
##     1.85, 1.48, 1.33, 0.77, 0.19, 0.05, -0.21, -0.92, -1.48, 
##     -1.86, -1.78, -1.7, -1.67, 1.27, 1.69, 2.17, 2.57, 2.06, 
##     2.25, 2.54, 2.49, 1.35, 1.09, 0.66, 0.45, 0.1, -0.37, -0.77, 
##     -0.88, -0.9, -1.83, -1.88, -2.17, -1.99, -1.56, -0.79, -0.72, 
##     -1.04, -1, -1.12, -1.14, -1.06, -0.98, -0.83, -0.56, -0.29, 
##     0.98, 1.45, 1.85, 1.88, 1.93, 1.81, 1.91, 1.62, 1.2, 3.26, 
##     2.81, 2.17, 1.17, -0.43, -1.73, -2.22, -3.12, -2.54, -2.38, 
##     -2.44, -2.79, -2.71, -2.65, -2.71, -2.5, -1.8, -1.12, -0.03, 
##     0.88, 1.19, 1.61, 2.49, 2.67, 2.94, 3.2, 3.02, 3.05, 2.81, 
##     0.96, 0.13, -0.19, -0.74, -1.35, -2.17, -3.68, -3, -3.82, 
##     -3.69, -2.62, -2.86, -3, -2.46, -1.61, -1.8, -1.93, -1.38, 
##     -0.9, -0.5, -0.19, -0.11, -0.1, -0.06, -0.03, 0.06, 0.16, 
##     1.61, 1.69, -5.23, -4.82, -4.42, -4.9, -4.4, -4.87, -1.7, 
##     -1.33, -0.29, 0.87, 1.04, 2.14, 3.52, 3.95, 4.53, 4.61, 4.66, 
##     4.61, 4.58, 4.38, 4.21, 3.71, 2.54, 1.2, 0.63, -1.43, -3.31, 
##     -4.59, -4.48, -4.87, -4.54, -4.3, -3.81, -4.14, -3.32, -3.73, 
##     -4.21, -3.98, -0.8, 0.63, 2.52, 3.21, 3.42, 3.56, 3.79, 4.43, 
##     4.64, 5.19, 4.85, 5.11, 4.78, 4.59, 4.5, 4.3, 2.1, 2.01, 
##     -0.67, -2.71, -2.79, -4.99, -5.27, -4.53, -4.62, -4.27, -3.9, 
##     -3.29, -1.2, -0.58, 0.11, 2.44, 3.13, 3.82, 4.13, 5.19, 5.07, 
##     5.36, 5.03, 4.99, 4.61, 4.29, 3.03, 2.38, -3.5, -4.45, -4.69, 
##     -4.77, -4.08, -3.93, -3.4, -3.15, -3.15, -2.97, -2.34, -1.04, 
##     -0.53, 0.58, 1.72, 3.28, 3.55, 4.24, 4.77, 4.98, 4.69, 4.74, 
##     2.06, 1.14, -1.77, -2.6, -3.39, -4.13, -4.45, -4.53, -4.19, 
##     -3.68, -3.74, -4.14, -4.16, -3.29, -2.17, -1.27, -0.9, 0.47, 
##     1.08, 3.15, 4.48, 4.91, 5.03, 5.03, 4.59, 4.42, 4.17, 3.55, 
##     3.5, 2.86, 2.42, 2.28, 2.12, 1.85, 0.43, -2.38, -2.67, -2.86, 
##     -4.11, -4.11, -4.38, -4.66, -4.72, -4.87, -4.27, -3.63, -3.89, 
##     -4.08, -4.01, -1.12, -0.11, 0.31, 0.71, 2.07, 2.36, 3.39, 
##     3.87, 4.16, 4.24, 4.59, 4.85, 4.74, 4.74, 4.24, 4.26, 4.11, 
##     3.5, 3.15, 3.02, 2.78, 2.07, -2.94, -3.1, -3.58, -3.82, -3.73, 
##     -3.68, -4.72, -5.07, -4.21, -3.74, -4.05, -4.05, -3.84, -4.01, 
##     -3.97, -2.81, -1.22, -0.29, 1.56, 2.3, 3.69, -4.06, -4.09, 
##     -3.89, -3.2, -2.97, -3.08, -3.12, -2.95, -3.64, -3.31, -3.31, 
##     1.04, 1.98, 2.57, 2.81, 1.8, 1.33, 1.2, -1.01, -1.62, -2.79, 
##     -3.63, -4.01, -3.9, -2.92, -2.6, -2.28, -2.04, -1.94, -0.48, 
##     0.55, 0.95, 2.76, 3.36, 3.26, 3.56, 3.31, 3.56, 3.39, 2.99, 
##     2.76, 2.75, 2.67, 2.65, 1.89, 1.8, 0.96, 0.13, 0.05, -0.13, 
##     0.06, 0, -0.13, -0.06, -0.03, -0.02, -0.08, -0.06, -0.16, 
##     -0.16, -0.21, -0.22, -0.16, -0.22, -0.24, -0.29, -0.51, -1, 
##     -2.33, -2.81, -2.94, -2.99, -2.95, -2.83, -2.68, -2.39, -2.92, 
##     -2.87, -2.94, -2.52, -1.62, -0.79, -0.27, 0.05, 2.31, 2.47, 
##     2.46, 2.34, 2.33, 1.41, 0.34, 0.06, -0.27, -0.98, -1.49, 
##     -1.77, -2.12, -2.3, -2.75, -2.83, -3.05, -2.91, -2.92, -2.67, 
##     -2.31, -0.82, -0.05, 0.67, 2.06, 2.38, 2.62, 2.26, 2.34, 
##     2.33, 2.36, 2.5, 2.52, 1.43, 0.51, 0.24, -0.03, -0.58, -1.25, 
##     -1.53, -1.64, -1.94, -2.06, -2.22, -2.2, -2.36, -2.15, -2.04, 
##     0.79, 1.57, 1.88, 1.98, 2.2, 2.59, 2.31, 2.18, 2.1, 1.53, 
##     1.28, 0.93, 0.19, -0.14, -1.03, -1.24, -1.41, -2.14, -2.75, 
##     -2.79, -2.67, -2.57, -2.62, -2.87, -2.99, -1.88, 0.69, 1.12, 
##     1.8, 2.46, 2.34, -2.78, -2.99, -2.97, -2.65, -2.57, -2.57, 
##     -2.46, -2.31, -2.26, -0.74, 0.59, 0.9, 1.59, 2.6, 2.34, 2.33, 
##     2.55, 1.94, 1.46, 1.08, 0.55, -0.02, -0.95, -1.4, -1.65, 
##     -2.67, -2.67, -3.05, -2.36, -1.46, 1.12, 0.03, -0.08, -2.04, 
##     -3.82, -3.73, 0, 0.95, 1.8, 2.04, 3.53, 2.7, 2.23, 1.22, 
##     1.64, -0.42, -0.35, -0.87, -2.36, -2.36, -2.86, -2.94, -2.92, 
##     -3.26, 1.69, 2.02, 2.46, 2.59, 1.93, 3.71, 1.86, 2.83, 2.68, 
##     1.17, 0.4, -0.18, -0.29, -0.4, -1.53, -2.28, -3.05, -2.79, 
##     -2.91, -3.05, -2.36, -1.77, 2.1, 2.3, 3.53, 3.1, 3.12, 3.32, 
##     0.16, -0.39, -0.8, -2.97, -3.12, 0.45, 0.27, 0.05, -0.06, 
##     -0.24, -1.94, -2.81, -3.16, -3.47, -3.28, -3.28, -3.28, -2.94, 
##     -2.73, -2.81, -1.28, -0.39, -2.5, -2.86, -3.36, -3.03, -3.39, 
##     -3.45, 0.39, 2.76, 3.39, 3.4, 3.71, 3.05, 3.02, 2.62, 2.1, 
##     1.38, 0.74, -0.71, -1.12, -2.09, -2.57, -3.42, -3.73, -3.18, 
##     0.21, 1.73, 2.33, 2.62, 3.02, 2.79, 2.02, 3.13, 1.4, 0.95, 
##     -2.28, -2.94, -3.02, -2.94, -2.44, -2.41, -2.23, -1.67, -1.67, 
##     -1.67, 0.19, 2.14, 2.2, 2.17, 1, 0.61, -0.03, -0.48, -2.17, 
##     -2.63, -2.33, -2.71, -2.42, 0.77, 1.49, 1.56, 1.93, 2.1, 
##     2.81, 2.81, 2.49, 2.39, 2.7, 0.82, 0.9, -1.3, -2.14, -2.34, 
##     -2.46, -3.24, -3.42, -2.87, -2.57, 0.64, 0.05, 0.03, -0.03, 
##     -0.1, -0.05, -0.03, -0.08, -0.08, -0.02, -0.05, 0.02, -0.06, 
##     0.1, 0.11, 0.08, 0.06, 0.08, 0.06, -0.02, 0.03, 0.03, 0, 
##     0.11, 0.02, -0.08, -0.11, -0.13, -0.03, -0.1, -0.05, 0.02, 
##     0.03, 0.02, 0.03, 0.03, 0.05, -0.03, 0, 0.05, 0.03, 0, -0.02, 
##     -0.02, -0.06, -0.06, -0.06, -0.06, -0.05, -0.03, 0.03, 0.03, 
##     0.06, 0.05, 0.11, 0.13, 0.21, 0.27, 0.37, 0.4, 0.16, 0.27, 
##     0.16, 0.06, -0.03, -0.14, -0.34, -0.45, -0.47, -0.61, -0.74, 
##     -1.04, -1.22, 0.56, 0.64, 0.64, 0.66, 0.88, 0.64, 0.02, 0.05, 
##     0.06, 0.05, 0.1, 0.14, 0.08, 0.08, 0.05, -0.06, -0.03, 0, 
##     -0.11, -0.02, -0.05, 1.89, 1.94, 2.78, 2.75, 2.5, 2.47, 2.52, 
##     2.44, 2.52, 2.04, 1.54, 0.88, 1.09, 1.54, 2.41, 3.02, 2.62, 
##     2.92, 2.55, 1.4, 1.62, 1.51, 1.53, 1.38, -1.17, -1.19, -1.17, 
##     -1.06, -0.77, -0.64, -0.71, -0.14, -0.05, 0.05, 0.21, 0.56, 
##     0.61, 0.61, 0.9, 0.92, 2.55, 2.79, 2.52, 2.97, 2.46, 2.09, 
##     2.02, 1.89, 1.8, -1.91, -1.8, -1.94, -1.65, -1.69, -1.57, 
##     -1.25, -0.55, -0.37, -0.27, 0.11, 0.31, 0.26, 3, 2.65, 2.34, 
##     2.28, 2.54, 2.33, 2.2, 2.14, 1.98, 1.8, 1.67, 1.32, 0.9, 
##     0.66, -1.38, -1.51, -1.59, -1.64, -1.24, -1.51, -1.11, -1.14, 
##     -0.88, -0.5, 0.06, 0.29, 0.29, 0.53, 0.64, 0.55, 0.64, 0.59, 
##     0.51, 0.53, 0.66, 0.64, 0.55, 0.58, 0.79, 0.88, 1.46, 1.22, 
##     0.87, -0.4, -0.02, 0.95, 1.25, 1.7, 1.96, 2.06, 2.55, 2.59, 
##     2.89, 3.21, 2.42, 1.81, 1.96, 1.93, 1.54, 1.43, 0.9, 0.66, 
##     0.47, 0.24, -0.27, -0.85, -1.11, -1.65, -1.17, -1.11, -1.04, 
##     -0.79, -0.48, -0.31, -0.11, 1.69, 1.8, 2.2, 2.62, 2.63, 2.5, 
##     2.52, 1.77, 1.88, 1.01, 0.8, 0.74, 0.53, -0.9, -1.32, -1.57, 
##     -1.48, -1.17, -0.93, -1.08, -0.55, -0.56, -0.43, 0.5, 1.09, 
##     1.25, 1.33, 1.59, 1.75, 2.1, 2.49, 2.65, 2.54, 2.57, 1.81, 
##     1.48, 1.61, 0.61, 0.19, -0.03, -0.67, -0.82, -0.95, -1.38, 
##     -1.51, -1.75, -1.72, -1.64, -1.48, -1.2, -1.22, 1.99, 0.98, 
##     0.75, -0.83, -0.58, -0.1, -0.06, 0.47, 0.82, 0.88, 0.88, 
##     1, 1.17, 1.32, 1.65, 1.67, 2.75, 2.55, 2.47, 2.91, 1.19, 
##     0.83, 0.08, -0.11, -1.48, -1.65, -1.99, -2.15, -1.96, -1.77, 
##     -1.43, 0.75, 0.83, 0.95, 0.83, 0.5, 0.24, 0.24, 0.55, 1.01, 
##     0.92, 1.03, 0.4, 0, 0.37, 0.51, 0.26, 0.47, 0.4, 0.43, 0.64, 
##     0.75, 0.96, 1.16, 1.59, 1.56, 1.88, 2.09, 2.25, 2.26, 2.47, 
##     2.5, 1.09, 1.03, 0.85, 0.75, 0.77, 0.19, -0.51, -0.87, -1.35, 
##     -1.38, -1.7, -2.01, 0.79, 0.88, 0.79, 0.11, 0.06, 0.02, -0.06, 
##     -0.71, -1.38, -1.4, -1.24, -1.16, -1.38, -1.35, -1.17, -0.96, 
##     -0.75, -0.85, -0.47, -0.45, 0.5, 0.66, 0.74, 0.77, 0.83, 
##     1.4, 1.45, 1, 0.66, 0.58, 0.58, 0.47, 0.39, -0.34, -1.04, 
##     -0.95, -1.81, -2.01, -2.2, -1.89, -1.65, -1.4, -1.35, -0.98, 
##     -0.71, 0.05, 0.48, 1, 1.09, 1.4, 1.69, -0.14, -0.31, -0.51, 
##     -0.72, -1.46, -1.51, -1.54, -1.56, -1.67, -1.75, -1.8, -1.88, 
##     -1.93, -1.78, -1.83, -1.45, -1.01, -0.92, 0.56, 0.58, 0.64, 
##     0.8, 1.36, 1.43, 1.61, 1.8, 2.02, 1.64, 1.75, 2.14, 1.73, 
##     1.91, 2.06, 1.69, 1.28, 0.8, 0.55, 0.31, 0.18, 0.08, -0.05, 
##     -0.35, -1.04, -1.28, -1.65, -2.22, -2.39, -2.22, -2.15, -2.17, 
##     -1.91, -1.78, -1.57, -1.4, -1.3, -0.79, -0.29, -0.24, -0.32, 
##     -0.16, -0.1, -0.03, 0.11, 0.27, 0.5, 0.71, 0.82, 1.22, 1.46, 
##     -0.05, -0.45, -0.66, -0.98, -1.4, -1.36, -2.28, -2.25, -2.31, 
##     -2.28, -2.25, -2.3, -2.12, -2.04, -1.93, -1.94, -1.33, -1.45, 
##     -1.06, -0.87, -0.24, -0.1, 2.39, 1.7, 0.4, -0.06, -0.48, 
##     -1.03, -1.41, -2.79, -2.68, -2.83, -2.86, -2.57, -1.51, -1.36, 
##     -0.26, -0.05, 0.03, 0.02, -0.05, -0.26, -1.59, -1.88, -1.17, 
##     -1.2, -0.82, -0.83, -1.03, -1.77, 0.19, 1.04, 1.03, 1.01, 
##     1.22, -1.41, -1.48, -1.09, -1.32, -1.33, -1.28, -1.28, -1.4, 
##     -1.24, -1, -0.9, 0.13, 0.35, 0.53, 0.67, 0.8, 1.01, 1.04, 
##     1.51, 1.85, 1.89, 1.94, 1.94, 0.72, 0.56, -0.4, -0.51, -0.9, 
##     -2.17, 0.67, 0.95, 1.08, 1.24, 1.59, 1.96, 2.02, 2.15, 2.01, 
##     1.69, 1.69, 1.24, 1.2, 1.22, 0.82, 0.24, -0.02, -0.35, -1, 
##     -1.14, 0.16, -0.34, -0.51, -0.22, -0.24, 0.03, 0.95, 0.98, 
##     1.78, 0.98, 1.67, 1.27, 2.33, 2.65, 1.56, 1.53, 1.25, 1.35, 
##     1.24, 1.27, 1.2, 1.19, 0.75, 0.4, 0.21, 1.67, 1.75, 1.91, 
##     1.86, 1.67, 1.62, 1.69, 1.8, 1.69, 1.7, 1.46, 1.41, 0.96, 
##     0.77, 0.71, 0.74, 0.35, 0.24, 0.11, -0.13, -0.03, -0.02, 
##     -0.02, 0.02, 0.03, 0.06, 1.22, 2.59, 3.05, 2.94, 2.99, 2.47, 
##     2.75, 2.26, 2.75, 1.41, 2.22, 0.61, 0, -0.16, -0.29, 0.02, 
##     2.47, 1.35, 1.83, 0.79, 0.88, -0.05, -0.26, -0.35, -3.24, 
##     -3.34, -2.97, -3.16, -3.64, -3.23, -2.65, -0.59, 0.21, 0.21, 
##     0.85, 0.85, 2.68, 2.18, 1.24, 1.49, 2.25, 0.98, 4.56, 4.53, 
##     4.46, 4.58, 3.18, 2.92, -0.64, -1.59, -2.09, -4.98, -4.48, 
##     -4.13, -3.97, -3.92, -3.53, -2.95, -1.24, -1.17, -0.88, -0.19, 
##     0.53, 0.8, 1.38, 2.1, 2.49, 3.1, 4.11, 4.56, 2.91, 3.87, 
##     4.05, 4.17, 4.64, 4.69, 4.64, 5.19, 4.74, 4.78, 4.69, 4.08, 
##     2.75, 0.31, -1.27, -2.23, -2.57, -3.61, -5.06, -4.24, -4.06, 
##     -3.55, -3.52, -3.76, -3.97, -3.81, -3.87, -3.76, -2.18, -0.69, 
##     -0.58, -0.45, 0.18, 1.72, 2.06, 2.46, 2.59, 2.78, 3.29, 3.68, 
##     4.01, 3.13, 0.34, -1.43, -3.07, -3.26, -3.42, -3.73, -3.47, 
##     -3.53, -3.26, -2.62, 1.78, 2.04, 1.98, 2.38, 2.83, 1.81, 
##     1.69, 2.01, 1.91, 0.96, -1.65, 1.89, 1.73, 1.89, 2.28, 1.7, 
##     2.3, 2.18, 1.41, 0.87, 0.74, 0.56, 0.31, -0.08, -1.57, -1.83, 
##     -1.86, -2.3, -3.21, -2.67, -0.96, -2.89, -0.11, 0.43, 0.72, 
##     0.93, 1.59, 1.88, 2.12, 1.94, 1.73, 2.42, 2.41, 1.85, 2.1, 
##     2.14, -2.63, -2.7, -2.28, -2.1, -1.7, -0.74, -0.18, 0.37, 
##     1.62, 1.96, 2.28, 3.03, 3.23, 2.47, 2.36, -0.34, -0.72, 2.44, 
##     2.44, 2.18, 2.55, 2.17, 2.59, 2.68, 2.44, 2.49, -0.08, -1.14, 
##     -2.14, -2.41, -2.68, -2.71, -0.24, -0.27, -0.24, -0.55, -0.48, 
##     -0.06, -0.18, -0.26, -0.88, -0.83, -0.66, -0.87, -1.01, -1.16, 
##     0.35, -0.74, -0.51, -0.64, -0.82, -0.88, -0.42, -0.32, -0.31, 
##     0.02, -0.14, 0.06, -0.21, 0.19, 0.66, 1.04, 1.49, 2.36, 3.05, 
##     3.47, 3.95, 4.06, 4.32, 4.14, 3.93, 3.89, 3.98, 3.74, 3.42, 
##     3.77, 3.47, 3.02, 3.32, 2.91, 2.7, 0.4, 0, -0.42, -1.4, -2.22, 
##     -2.46, -2.92, -3.26, -3.26, -3.48, -3.23, -3.29, -2.83, -2.1, 
##     -1.91, -1.69, -0.93, -0.82, 0.67, 0.96, 1.4, 1.67, 1.75, 
##     1.85, 2.33, 2.49, 2.86, 3.16, 3.52, 3.29, 3.53, 3.4, 3.45, 
##     3.1, 2.91, 3.05, 2.23, 2.07, 0.72, -0.4, -1.69, -2.02, -2.46, 
##     -2.57, -3.08, -3.08, -2.75, -3.12, -3.1, -3, -2.49, -2.65, 
##     -2.65, -2.52, -2.28, -2.3, -2.1, -1.93, -1.59, -1.62, -0.93, 
##     0, 0.11, 1.01, 1.09, 1.72, 2.65, 2.7, 2.86, 3.66, 3.92, 4.09, 
##     0.53, -1.22, -1.7, -1.89, -2.15, -2.28, 3.03, 3.26, 2.99, 
##     2.57, 2.15, 1.88, 1.17, 0.63, 0.26, 0.24, 0.13, 0.16, 0.08, 
##     0.08, 0.11, 0.06, -0.11, -0.08, -0.19, -0.13, -0.13, -0.19, 
##     -0.24, -0.35, -0.27, -0.43, -0.9, -0.92, -0.88, -1.16, -1.48, 
##     -2.3, -2.86, -2.95, -3.81, -3.87, -4.9, -4.72, -4.45, -3.53, 
##     -3.37, -3.24, -3.24, -3.2, -2.81, -2.44, -0.87, 0.93, 1, 
##     1.11, 2.31, 2.84, 3.42, 3.5, 3.92, 3.95, 4.32, 4.11, 3.47, 
##     2.76, 2.31, -0.51, -0.83, -1.22, -1.73, -2.94, -3.29, -4.62, 
##     -4.85, -4.78, -4.75, -3.95, -3.76, -3.73, -3.82, -3.79, -1.57, 
##     0.98, 1.56, 1.64, 1.81, 2.3, 3.07, 3.2, 4.06, 4.11, 4.17, 
##     4.48, 4.67, 3.6, 3.42, 2.76, 2.68, 1.36, 0.77, 0.05, -0.9, 
##     3.2, 3.42, 4.45, 3.03, 1.86, -0.77, -1.12, -4.13, -4.64, 
##     -2.41, 1.38, 2.3, 3.15, 3.6, 4.26, 4.22, 4.35, 4.24, 4.8, 
##     4.22, 3.98, 3.68, 3.58, 3.48, 3.02, 2.68, 1.01, -0.47, -1.25, 
##     -1.48, -3.53, -3.79, -3.85, -4.09, -4.11, -3.84, -1.65, 0.1, 
##     0.93, 1.3, 1.75, 2.39, 3.08, 3.81, 4.13, 4.14, 4.14, 4.19, 
##     -3.32, -2.06, -1.46, -0.1, 0.77, 1.22, 1.85, 2.09, 2.3, 2.5, 
##     2.94, 3.93, 4.01, 3.97, 4.08, 3.32, 2.81, 1.98, 0.55, -0.45, 
##     -0.8, -1.22, -2.26, -3.87, -3.68, -3, -2.01, 0.75, 1, 2.7, 
##     2.95, 3.76, 4.24, 2.63, 2.83, 0.34, -1.32, -1.69, -2.84, 
##     -3.1, -4.06, -4.58, -4.58, -4.45, -3.73, -3.53, -1.57, -1.06, 
##     0.27, 1.64, 1.96, 2.79, 3.12, 3.58, 3.76, 3.31, 3.32, 4.13, 
##     3.63, 3.68, 3.6, 2.92, 2.92, 3.2, 3.36, 2.7, -2.68, -3.63, 
##     -4.05, -4.05, -4.01, -4.13, -4.21, -3.61, -3.76, -4.05, -3.21, 
##     0.5, 0.77, 0.92, 1.59, 1.93, 2.1, 2.44, 2.68, 2.68, 2.73, 
##     2.87, 2.86, 3.28, 3.26, 3.42, 3.1, 3.23, 2.92, 2.73, 1.86, 
##     1.62, 0.74, -0.13, -0.37, -0.27, -0.13, -0.08, 0.14, 0.24, 
##     0.27, 0.26, 0.14, 0.06, -0.08, -0.21, -0.13, -0.32, -0.66, 
##     -0.83, -0.88, -0.75, -0.56, -0.75, -0.55, -0.48, -0.34, 0.02, 
##     -0.18, -0.32, -0.29, -0.14, -0.21, -0.16, -0.14, -0.14, -0.13, 
##     -0.05, 0.22, 0.66, 2.09, 2.5, 1.59, 1.06, 0.29, -0.48, -0.64, 
##     -0.79, -0.98, -1.12, -1.46, -2.17, -2.81, -2.94, 1.11, 2.09, 
##     2.31, 2.62, 2.26, 2.7, 2.28, 1.24, 1.08, 1.57, 1.56, 0.66, 
##     1.03, 2.09, 2.34, 2.06, 1.73, 1.48, 0.71, 0.75, 0.53, -1.48, 
##     -1.49, -2.2, -2.33, -3.37, -3.36, -3.36, -4.83, -6.45, -6.54, 
##     -7.02, -6.62, 2.57, 3.18, 3.87, 3.15, 3.21, 3.98, 4.38, 4.91, 
##     4.61, 4.59, 4.3, 2.92, 2.18, 1.38, 0.58, 0.47, -1.83, -2.54, 
##     -2.81, -4.85, -4.88, -5.43, -6.01, -5.97, -6.15, -0.63, 3.64, 
##     4.3, 3.48, 4.85, 3.42, 3.07, 3.79, 1.59, 1.25, 0.66, -0.13, 
##     -0.26, -0.4, -0.88, -1.27, -1.35, -1.98, -2.14, -1.77, -1.57, 
##     -1.43, -1.36, -1.49, -1.51, -1.12, -1.27, -0.88, -0.95, -0.77, 
##     -0.71, -0.93, 1, 2.14, 2.26, 2.5, 2.42, 2.5, 2.17, 1.98, 
##     1.98, 1.73, 1.28, 1.28, 1.25, 1.2, 1.17, 0.1, -0.03, -0.21, 
##     -1.14, -1.14, -1.43, -1.11, -1.19, -0.93, -0.92, -0.79, -1.61, 
##     -1.45, 0.05, 0.88, 0.82, 1.36, 1.38, 1.25, 1.48, 1.86, 1.12, 
##     1.36, 1.73, 1.43, 1.43, 1.8, 1.88, 1.77, 1.98, 1.32, 1.03, 
##     1.14, 1.09, 1.14, 1.14, 0.8, 0.82, 0.79, 0.51, 0.24, 0.14, 
##     0.4, -0.27, -0.05, -0.11, -0.13, 0.03, 0.14, 0.19, 0.29, 
##     0.32, 0.26, -0.45, -1.8, -2.63, -2.83, -2.99, -3.12, -3.21, 
##     -3.29, -3.55, -3.64, -3.76, -3.39, -2.89, -2.62, -2.44, -2.23, 
##     -0.69, -0.32, 0.22, 0.93, 1.03, 1.36, 1.7, 2.02, 2.54, 2.7, 
##     2.44, 2.47, 2.63, 2.79, 2.57, 2.44, 2.41, 1.94, 1.72, 0.1, 
##     -0.19, -1.12, -1.3, -1.77, -2.25, -2.44, -2.7, -3.31, -3.5, 
##     -3.66, -2.89, -2.52, -1.96, -1.59, -1.48, -1.45, -1.14, -1, 
##     -0.48, 0.51, 0.75, 1.22, 1.65, 1.78, 2.33, 2.17, 2.04, 2.63, 
##     1.77, 0.82, 0.55, 0.03, -0.31, -1.67, -2.6, -2.6, -2.75, 
##     -3, -3.07, -3.07, -2.65, -2.28, -2.02, -2.04, -1.73, 1.25, 
##     1.38, 1.51, 1.77, 1.85, 2.1, 2.23, 2.26, 2.36, 2.38, 2.49, 
##     2.31, 2.57, 2.18, 2.14, 0.5, 0.11, -1.25, -1.46, -1.46, -2.6, 
##     -2.71, -2.65, -2.76, -2.57, -2.31, -2.7, -2.38, -2.18, -2.23, 
##     -1.35, -1.24, -0.98, -0.74, 0.72, 0.85, 1.09, 1.25, 1.72, 
##     2.26, 2.46, 2.39, 3, 2.42, 2.31, 2.86, 2.92, 2.79, 2.28, 
##     2.12, 1.62, 1.06, 0.93, -0.34, -0.45, -0.61, -1.7, -1.93, 
##     -1.91, -2.63, -2.91, -2.97, -2.95, -3.56, -3, -3.02, -2.87, 
##     -2.31, -1.61, -1.56, -1.77, -1.49, -1.32, -1, -0.74, -0.26, 
##     0.35, 0.51, 0.85, 1.09, 1.43, 1.57, 1.77, 1.91, 2.14, 2.26, 
##     2.26, -0.26, -0.63, -0.83, -1.03, -1.53, -1.59, -2.15, -2.59, 
##     -3.44, -3.2, -3.21, -2.94, -2.38, -1.91, -1.73, -1.54, -1.51, 
##     -1.11, -1.01, -0.92, 0.31, 1.09, 1.25, 1.77, 2.1, 2.31, 2.34, 
##     3.28, 3, 2.6, 2.73, 2.71, 2.89, 2.94, 3.23, 2.49, 2.25, 2.23, 
##     2.06, 1.08, -1.12, -1.38, -1.59, -1.78, -1.77, -1.83, -2.5, 
##     -2.81, -3.55, -3.52, -3.12, -2.28, -2.06, -1.81, -1.48, -1.81, 
##     -1.83, -1.99, -0.37, 0.71, 0.9, 1.11, 1.16, 1.61, 1.67, 2.38, 
##     2.68, 2.89, 2.92, 2.25, 2.78, 2.65, 2.44, 1.62, 1.35, 1.24, 
##     1.38, 1.46, 0.32, -0.5, -1.85, -2.26, -2.86, -2.83, -2.89, 
##     -3.13, -3.36, -2.26, -2.15, -2.12, -1.78, -1.72, -1.57, -1.11, 
##     -0.71, -0.37, 1, 1.14, 1.27, 1.41, 1.96, 2.17, 2.31, 2.39, 
##     2.34, 2.62, 3.13, 2.6, 2.71, 2.54, 1.94, 1.83, 1.94, 0.88, 
##     0.35, 0.08, -0.79, -1.61, -1.75, -2.73, -2.89, -2.95, -2.92, 
##     -2.26, -2.54, -2.67, -2.76, -2.52, -2.36, -1.04, 0.21, 1.19, 
##     1.49, 1.88, 2.1, 2.14, 2.57, 3.03, 3.42, 2.79, 2.26, 2.67, 
##     2.12, 1.96, 2.01, 1.89, 1.81, -2.92, -1.85, -1.51, -1.67, 
##     -0.9, -0.08, 0.5, 0.31, -0.06, -0.06, -0.06, -0.21, -0.27, 
##     -0.32, -0.29, -0.31, -0.22, -0.26, -0.27, -0.21, 0.1, 0.58, 
##     0.83, 1.25, 1.33, 1.91, 2.23, 2.38, 4.27, 5.03, 5.12, 2.55, 
##     2.2, 1.46, -0.35, -2.57, -2.71, -2.6, -2.57, -2.63, -3.03, 
##     0.11, 0.35, 1.27, 2.14, 3.71, 3.79, 2.92, 2.33, 2.97, 3.34, 
##     2.68, 2.73, 1.8, -2.95, -3.44, -3.47, -3.31, -3.12, -1.81, 
##     -1.36, 0.75, 1, 1.8, 2.09, 3.31, 3.39, 3.48, 3.55, 3.47, 
##     3.31, 3.36, 2.84, 2.67, 2.5, 1.49, -0.14, -1.93, -3.58, -3.53, 
##     -3.71, -2.14, -2.33, -1.24, -1.19, -0.74, 0.64, 0.92, 2.38, 
##     2.83, 3.84, 2.89, 2.87, 2.22, -2.34, -2.41, -2.55, -2.79, 
##     -3.15, -3.47, -3.66, -3.89, -2.79, -2.65, -2.28, -2.78, -1.69, 
##     -1.48, -0.63, 0.5, 0.8, 2.31, 2.75, 3.82, 4.26, 4.42, 3.58, 
##     2.23, -2.55, -2.91, -3.24, -3.84, -3.6, -3.87, -3.4, -3.05, 
##     -3.31, -2.38, -2.39, -2.78, -0.34, 1.28, 1.53, 2.73, 3.73, 
##     4.16, 4.24, 4.21, 3.9, 3.77, 3.44, 3.05, 2.86, 2.34, 0.79, 
##     -1.75, -2.2, -3, -3.39, -3.89, -3.97, -4.09, -3.61, -3.18, 
##     -2.95, -2.71, -2.06, -1.46, -0.05, 3.42, 3.76, -0.06, 0.63, 
##     0.74, 1.35, 1.65, 2.02, 3.16, 3.76, 3.82, 3.4, 3.31, 2.79, 
##     2.38, 2.25, -1.59, -1.91, -3.16, -3.13, -3.16, -3.58, -3.52, 
##     -4.01, -3.34, -3.12, -3.05, -2.57, -2.28, -2.07, -0.37, -0.02, 
##     0.71, 0.85, 1.93, 2.14, 3.28, 3.47, 3.58, 4.05, 4.05, 2.52, 
##     2.44, -0.72, -1.81, -2.47, -2.95, -3.24, -3.81, -3.55, -3.31, 
##     -3.2, -3.36, -3.24, -3.26, -2.99, -2.81, -2.68, -2.31, -1.7, 
##     -0.69, -0.58, -0.66, -0.4, -0.55, -0.58, -0.22, -0.35, -0.16, 
##     -0.08, -0.14, -0.08, -0.03, -0.26, -0.26, -0.29, -0.19, -0.21, 
##     -0.19, -0.22, -0.22, -0.19, -0.19, -0.21, -0.24, -0.22, -0.26, 
##     -0.34, -0.35, -0.32, -0.39, -0.24, -0.37, 0.11, 0.1, 0.11, 
##     -0.05, 0.03, -0.1, -0.08, -0.06, -0.03, 0.02, 0, -0.03, -0.03, 
##     0.08, 0.06, 0.06, 0.06, 0.1, 0.79, 1.27, 1.51, 1.12, 1.33, 
##     1.48, 0.14, 0.16, 0.32, -0.14, -1.04, -3.85, -4.17, -4.83, 
##     -4.9, -5.22, -6.29, -5.52, 0.93, 4.54, 5.62, 5.38, 4.29, 
##     4.42, 4.85, 3.77, 1.81, 1.14, 0.4, -2.81, -4.11, -4.34, -5.01, 
##     -5.56, -5.76, -6.52, -5.88, -5.76, -5.35, -3.76, -3.18, -2.65, 
##     -1.51, 2.47, 3.13, 3.73, 5.88, 5.14, 3.9, 4.06, 3.58, 1.19, 
##     -0.9, -1.65, -4.64, -6.18, -5.89, -5.67, -3.15, -2.95, -1.11, 
##     2.54, 4.87, 4.61, 6.12, 5.23, 3.76, 5.14, 3.84, 3.9, 5.97, 
##     5.4, 3.34, 0.61, -0.34, -0.37, -0.87, -1.54, -1.54, -3.1, 
##     -3.6, -4.75, -5.41, -5.64, -5.67, -5.33, -5.23, -3.73, -2.79, 
##     2.73, 2.73, 3.79, 3.48, 4.03, 3.74, 5.33, 5.59, 3.52, 1.57, 
##     -0.11, -3.31, -4.14, -4.83, -5.09, -4.78, -3.31, -3.18, -3.28, 
##     -2.87, -1.83, 1.3, 3.92, 5.54, 5.67, 2.94, 4.03, 4.58, 3.55, 
##     2.57, 0.31, 0.22, -0.67, -2.39, -4.83, -4.95, -4.95, -5.06, 
##     -5.12, -5.07, -4.64, -4.59, -4.53, -4.24, -4.24, -4, -3.47, 
##     -2.91, -2.23, -1.61, 1.19, 3.84, 4.37, 4.74, 5.06, 4.4, 4.82, 
##     4.37, 0.71, -0.29, -5.51, -5.36, -5.4, -5.04, -4.67, -3.13, 
##     -1.99, 0.42, 3.42, 3.63, 3.77, 6.1, 4.22, 3, 3.76, 1.48, 
##     0.61, -1, 6.13, 3.97, 0.56, 0.22, -0.51, -0.87, -2.59, -3.61, 
##     -4.08, -4.54, -5.07, -5.2, -5.22, -5.35, -4.34, -3.71, -1.99, 
##     0.21, 1.43, 3.58, 4.67, 3.68, 3.74, 4.59, 3.4, 5.89, 3.97, 
##     2.71, 6.05, 3.29, 5.36, 2.41, 0.82, 0.39, -0.37, -0.96, -1.16, 
##     -0.48, -0.1, -0.05, 0, 0, 0.03, 0.06, -0.02, -0.06, -0.05, 
##     -0.02, 0.03, 0.03, 0.05, 0.1, -0.02, -0.03, -0.02, 0.03, 
##     0.05, -0.03, 0.02, -0.02, 0.05, 0.05, -0.02, 0, 0, 0, -1.25, 
##     -1.3, -1.33, -1.22, -1.32, -1.64, -1.7, -1.72, -0.96, -0.51, 
##     0.19, 0.79, 0.79, 0.82, 1, 1.03, 1.22, 1.24, 1.28, 1.72, 
##     2.1, 2.14, 2.5, 2.34, 2.6, 2.33, 2.01, 2.2, 1.35, 1.17, 0.93, 
##     0.82, 0.69, 0.66, 0.51, 0.43, 0.35, 0.21, 0.1, -0.59, -0.82, 
##     -1.83, -1.85, -1.86, -2.12, -2.06, -2.1, -1.53, -0.47, -0.47, 
##     -0.16, 1.03, 1.53, 1.69, 2.04, 2.42, 2.55, 2.57, 2.86, 2.78, 
##     2.26, 2.25, 2.47, 2.09, 2.23, 2.18, 1.85, 1.08, 1.14, 1.11, 
##     0.98, 0.69, 0.87, 0.85, 0.95, 0.87, 0.59, 0.4, 0.13, -1.09, 
##     -1.96, 0.18, 0.42, 0.95, 1.19, 1.3, 1.38, 1.64, 2.23, 2.17, 
##     1.99, 2.26, 2.46, 1.62, 1.28, 1.17, 1.12, 0.93, 0.79, 0.79, 
##     0.69, 0.66, 0.83, 0.47, 0.13, 0.02, -0.61, -0.9, -1.51, -1.91, 
##     -1.91, -1.94, -2.07, -2.12, -2.15, -1.98, -1.88, -1.54, -1.43, 
##     -0.59, 0.19, 0.87, 1.48, 1.51, 1.59, 1.7, 2.02, 2.28, 2.65, 
##     2.55, 3.12, 2.5, 2.39, 1.93, 1.36, 1.24, 1.17, 1.16, 1.09, 
##     1, 0.93, 0.87, 0.43, 0.37, -0.31, -0.92, -1.48, -1.7, 2.91, 
##     2.52, 3.07, 2.99, 2.79, 2.07, 1.98, 1.83, 1.49, 1.27, 1.09, 
##     0.96, 0.88, 0.74, 0.72, 0.61, -0.45, -0.63, -2.31, -2.6, 
##     -2.06, -1.81, -0.8, 0.88, 0.77, 0.8, 0.8, 0.83, 0.87, 0.9, 
##     0.9, 0.92, 1.08, 1.98, 2.89, 3.29, 3.76, 3.92, 4.29, 3.42, 
##     3.15, 2.17, 2.38, 2.31, 1.75, 1.83, 1.62, 1.54, 1.54, 1.54, 
##     0.64, 0.48, 0.51, 0.59, 0.48, 0.51, 0.48, 0.4, 0.26, 0.48, 
##     0.43, 0.27, 0.31, 0.35, 0.13, 0.14, 0.21, 0.26, 0.32, 0.34, 
##     0.56, 0.67, 0.8, 0.92, 0.88, 1.03, 1.06, 0.93, 0.72, 0.72, 
##     0.71, 0.75, 0.72, 0.72, 0.71, 0.69, 0.63, 0.63, 0.58, 0.26, 
##     0.31, -1.19, -2.33, -2.79, -3.82, -3.45, -3.18, -3, -3.02, 
##     -3.02, -2.75, -2.76, -1.85, -1.12, -0.77, 0.8, 1.01, 1.59, 
##     1.94, 2.26, 2.36, 2.84, 3.13, 3.1, 1, 0.93, 0.87, 0.67, -3.03, 
##     -3.15, -2.99, 3.36, 3.97, 3.87, 3.85, 3.85, 3.85, 3.92, 3.97, 
##     3.45, 3.37, 3.34, 1.12, 0.95, 0.88, 0.79, 0.69, 0.79, 0.88, 
##     0.92, 0.8, 0.82, 0.71, 0.74, 0.79, 0.71, 0.71, 0.63, -1.78, 
##     -1.8, -1.93, -2.02, -2.07, -1.43, -1.38, -0.58, 0.19, 1.08, 
##     1.09, 1.83, 2.55, -4.64, -6.21, -5.27, 3.5, 2.97, 2.95, 3.66, 
##     3.61, 4.11, 2.81, 3.28, 3.13, 1.7, -0.16, -0.56, -0.8, -3.55, 
##     3.48, 2.91, 2.75, 1.32, 0.98, 0.75, -0.92, -2.22, -2.65, 
##     -3.73, -4.08, -4.19, -4.43, -4.74, -4.54, -4.59, -4.62, -4.45, 
##     -3.63, -3.26, -2.99, 1.62, 2.31, 2.7, 2.79, 4.72, 3.34, 3.05, 
##     2.54, 2.46, 1.51, 1.16, 0.77, 0.18, -1.27, -3.12, -3.4, -4.14, 
##     -4.42, -4.22, -4.37, -4.38, -5.75, 2.5, 3.64, 3.68, 4.09, 
##     3.56, 4.77, 4.64, 4.29, 3.95, 3.36, 3.23, 3.03, 2.47, 0.1, 
##     -0.1, -1.04, 3.73, 3.84, 3.45, 3.79, 3.4, 2.5, 1.85, 0.37, 
##     0.03, -1, -2.67, -3.69, -4.03, -4.56, 4.35, 3.93, 3.98, 3.85, 
##     3.44, 1.7, 1.09, 1.08, 0.34, -0.14, -0.34, -0.72, -1.38, 
##     -1.7, -2.17, -2.49, -2.87, -3.55, -4.8, -4.87, -4.82, -4.5, 
##     -4.24, -3.21, -1.8, -0.47, 2.49, 3.23, 3.4, 5.04, 5.89, 4.93, 
##     2.39, 2.68, 3.1, 5.03, 4.26, 3.32, 1.16, 0.96, -0.4, -0.29, 
##     -0.18, 0.03, -0.45, -0.37, 0.16, -0.11, 0.06, 0.13, 0.06, 
##     0.03, 0.13, 0.03, 0.08, 0.02, 0.02, -0.11, -0.1, 0, 0, 0.02, 
##     -0.02, -0.03, -0.05, -0.06, -0.1, -0.24, -0.14, -0.29, -0.26, 
##     -0.24, -0.19, -0.03, 0.02, 0.18, 0.18, 0.05, 0.05, -0.03, 
##     -0.02, 0.02, -0.21, -0.08, -0.08, 0, 0.02, 0.08, 2.46, 2.67, 
##     2.65, 2.99, 2.86, 2.95, 3.69, 2.81, 2.23, 2.12, 1.86, 1.69, 
##     1.56, 1.35, 0.63, 0.48, 0.22, 0.21, 0.18, 0.13, 0.19, 0.08, 
##     0.05, 0.03, 0.05, 0.05, 0.08, 0.06, -0.02, -0.03, -0.02, 
##     0, -0.05, -0.03, -0.06, -0.02, -0.51, -2.04, -2.38, -3.1, 
##     -5.44, -5.78, -5.51, -5.46, -4.43, -3.68, -2.78, -0.19, -2.07, 
##     -3.34, -5.11, -5.51, -5.51, -5.73, -5.73, -6.44, -6.37, -6.44, 
##     -6.39, -5.19, -4.16, 1.03, 3.73, 4.51, 5.38, 6.13, 4.69, 
##     1.64, 1.81, 1.59, 1.73, 0.72, 0.51, -0.27, -0.27, -0.37, 
##     -0.43, -0.43, -0.37, -0.29, -0.1, -0.21, -0.21, -0.24, -0.24, 
##     -0.21, -0.18, -0.18, -0.18, -0.22, -0.26, -0.22, -0.18, -0.24, 
##     -0.21, 3.89, 3.82, 2.99, -0.42, -3.47, -3.37, -4.05, -4.21, 
##     -3.79, -2.5, -2.46, -2.2, -1.85, -1.77, -1.98, -1.86, -1.46, 
##     -2.25, -2.49, -3.21, -3.2, -3.5, -3.45, -3.15, -3.23, -2.46, 
##     -2.42, -1.2, 2.5, 3.85, 3.76, 2.84, 1.57, -0.79, -1.69, -4.43, 
##     -4.51, -4.5, -4.48, -4.43, -4.58, -4.51, -4.4, -4.32, -3.55, 
##     -3.03, 0.24, 1.48, -4.58, -4.67, -4.51, -4.77, -4.62, -4.72, 
##     -3.9, -3.76, -2.09, 3.69, 3.79, 3.4, 4.62, 4.69, -2.1, -2.31, 
##     -2.89, -3.74, -4.35, -4.14, -4.22, -4.21, -4.27, -0.58, 0.93, 
##     3.02, 3.12, 3.85, 3.73, 3.74, -3.77, -4.11, -4.16, -4.19, 
##     -4.67, -3.42, 0.11, 1.98, 2.92, 2.86, 2.95, 3.81, 2.84, 2.71, 
##     2.15, 2.15, 1.96, 1.33, -0.21, -0.75, -0.85, -1.46, -1.67, 
##     -2.99, -3.05, 3.69, 4.37, 2.81, 1.27, 0.4, -0.11, -0.88, 
##     -4.72, -5.01, -4.72, -4.64, -3.79, -3.36, -3.39, -2.84, -2.76, 
##     -1.98, -0.06, 0.32, 1.04, 1.4, 3.28, 3.85, 4.09, 4.08, 4.26, 
##     4.62, 4.67, 3.93, 3.92, 2.68, 1.01, 0.43, -0.39, -1.2, -1.78, 
##     -2.79, -3.26, -3.98, -4.62, -5.06, -4.99, -1.38, -2.09, -3.13, 
##     -3.36, -3.69, -3.97, -4.96, -5.33, -4.32, -4.37, -3.53, -3.47, 
##     -3.31, -2.86, -0.75, 0.51, 1.27, 1.28, 1.8, 2.33, 2.62, 2.83, 
##     4.56, 4.5, 3.15, 2.79, 2.76, 2.1, 1.14, -3.1, -2.94, -2.94, 
##     -3.08, -2.83, -2.18, -1.91, -1.75, -1.36, -0.9, -0.64), gyros_forearm_z = c(0, 
##     0, -0.03, -0.02, -0.02, -0.03, -0.03, 0, -0.02, -0.02, 0, 
##     -0.02, -0.02, 0, 0, 0, -0.03, 0, -0.02, -0.02, -0.02, -0.03, 
##     -0.02, 0.03, 0, -0.02, -0.02, 0, 0, -0.05, -0.05, -0.02, 
##     -0.03, -0.05, -0.05, -0.02, 0, 0.02, -0.02, 0, 0, 0, 0.02, 
##     0, 0.02, 0.03, 0.03, -0.02, -0.03, 0.02, 0.03, 0.05, -0.02, 
##     -0.02, -0.02, -0.02, 0, 0, -0.03, -0.03, -0.02, -0.02, -0.02, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 0, -0.02, -0.02, 
##     -0.02, -0.03, -0.07, -0.05, -0.02, -0.02, -0.02, -0.02, -0.03, 
##     0, 0, -0.03, -0.02, -0.03, 0, 0, -0.03, -0.02, 0, -0.02, 
##     -0.02, -0.02, -0.03, -0.02, 0, 0, -0.03, -0.02, -0.02, -0.02, 
##     0, -0.08, -0.02, -0.02, -0.05, -0.05, -0.07, -0.02, -0.05, 
##     -0.02, -0.05, 0.02, 0, -0.11, -0.11, -0.03, -0.03, -0.02, 
##     0, 0.02, -0.02, -0.02, -0.1, -0.05, -0.05, -0.08, -0.03, 
##     -0.03, -0.02, -0.02, -0.02, -0.1, -0.16, -0.23, 0.05, 0.11, 
##     0.08, -0.23, -0.07, -0.07, -0.1, 0.02, 0.05, 0.13, 0.16, 
##     0.16, 0.23, 0.36, 0.07, 0, 0.18, -0.02, -0.23, -0.15, -0.13, 
##     -0.2, -0.44, -0.18, -0.05, -0.07, -0.1, 0, 0.08, -0.25, -0.18, 
##     -0.11, 0.07, 0.21, 0.16, 0.11, 0.13, 0.11, 0.2, 0.13, 0.11, 
##     0.13, 0.16, 0.38, 0.1, -0.21, -0.11, 0.15, -0.18, -0.08, 
##     0.11, 0.34, 0.33, 0.07, 0.03, 0, -0.05, -0.05, 0.02, -0.08, 
##     -0.07, -0.11, -0.11, 0.21, -0.03, -0.1, -0.03, -0.02, -0.03, 
##     0.02, -0.1, 0.13, 0.18, 0.15, 0.05, -0.15, -0.25, -0.18, 
##     -0.05, -0.05, -0.03, -0.02, 0.02, 0.02, 0.02, -0.05, -0.03, 
##     0, 0, -0.03, -0.03, -0.03, -0.05, -0.03, -0.25, -0.26, -0.07, 
##     -0.57, -0.9, -0.46, -0.28, -0.03, 0.28, 0.34, 0.46, 0.41, 
##     0.39, 0.54, 0.66, 0.46, 0, -0.02, 0.18, 0.57, 0.48, 0.36, 
##     0.11, 0.08, 0.03, 0, -0.13, -0.18, -0.2, -0.13, -0.16, -0.18, 
##     -0.15, -0.25, -0.38, -0.34, -0.39, -0.44, -0.43, -0.31, -0.11, 
##     0.07, 0.41, 0.26, 0.07, 0.03, 0.49, 0.41, 0.1, -0.05, -0.11, 
##     0.15, 0.23, 0.15, 0.11, 0.18, 0.08, 0.13, -0.03, -0.1, -0.07, 
##     -0.15, -0.2, -0.21, -0.2, -0.15, -0.08, -0.43, -0.28, -0.25, 
##     0.05, 0.13, 0.57, 0.25, 0.28, 0.31, 0.18, 0.2, -0.08, -0.05, 
##     0.25, 0.2, 0.15, 0.15, 0.07, -0.07, -0.44, -0.66, 0.11, 0.08, 
##     -0.2, -0.39, -0.52, -0.34, -0.62, -0.48, -0.43, 0.08, 0.34, 
##     0.34, 0.34, 0.26, 0.16, 0.15, 0.18, 0.15, 0.13, 0.46, 0.67, 
##     0.3, 0.39, 0.62, 0.54, 0.31, 0.44, 0.36, 0.33, 0.43, 0.57, 
##     -0.07, -0.16, -0.07, 0.05, 0.16, 0.18, 0.23, 0.26, -0.23, 
##     -0.43, -0.34, -0.57, -0.3, -0.26, -0.23, -0.41, -0.11, 0.13, 
##     0.15, 0.13, -0.02, -0.1, -0.36, -0.33, -0.56, -0.59, -0.23, 
##     -0.15, -0.16, -0.18, -0.21, -0.51, -0.59, -0.74, 0.07, 0.05, 
##     0.18, 0.13, -0.05, 0.13, 0.03, 0, 0, -0.13, 0.62, 0.48, 0.64, 
##     0.67, 0.8, -0.38, -0.33, -0.33, -0.54, -0.11, 0.26, 0.26, 
##     0.39, 0.39, 0.79, 0.98, 0.31, 1.21, 1.02, -0.25, -0.11, 0.28, 
##     0.31, -0.31, 1.13, 0.54, 0.13, -0.2, -0.3, -0.21, 0, -0.03, 
##     0.05, 0.21, 0.26, 0.46, 0.98, 0.97, 0.71, 0.85, 0.92, -0.52, 
##     -0.62, -0.64, -0.34, 0.05, 1.03, 1.43, 0.33, -0.03, 1.26, 
##     0.98, 0.79, 0.52, -0.28, 0.57, 0.36, 0.36, 1.02, 1, -0.07, 
##     0.02, -0.2, -0.39, -0.33, 0.39, 0.59, 1.62, 0.95, 0.44, 0.21, 
##     -0.16, -0.34, -0.31, 0.39, 0.74, 0.74, 0.77, 0.82, 0.95, 
##     0.21, -0.03, 0.03, 0.08, 0.3, 0.67, 1.05, 0.98, 0.82, 0.69, 
##     0.18, 0.16, 0.38, 0.05, -0.51, 0.69, 0.87, 0.62, 0.48, 0.71, 
##     0.69, 0.31, 0.08, 0.56, 0.52, 0.2, 0.56, 0.62, 0.67, 0.59, 
##     0.84, 0.95, 0.87, 0.38, 0.05, -0.38, 0.16, 0.26, 0.36, 0.54, 
##     0.51, 0.3, 0.41, 0.49, 0.49, 0.33, 0.49, 0.51, 0.56, 0.85, 
##     0.62, 0.95, 1.07, 0.23, 0.79, 0.31, 0.25, 0.21, 0.13, 0.13, 
##     0.07, 0.15, 0.82, 0.49, 1.08, 0.71, 0.54, 0.74, 0.33, 0.28, 
##     0.13, 0.66, 0.92, 0.98, 0.77, 0.69, 0.49, 0.62, 1.08, 0.92, 
##     0.84, 0.51, 0.85, 0.46, 0, -0.52, -0.36, -0.38, -0.98, -0.97, 
##     0.03, 1.1, 0.07, 0.8, 0.28, 0.31, 0.57, -4.12, -8.09, -3.23, 
##     -1.39, -1.44, -1.56, 4.04, 4.1, 4.31, 2.76, -0.95, 0.25, 
##     -0.52, 0.54, 0, -3.2, -5.55, -2.23, 1.95, 1.79, 0.43, 0.1, 
##     0.07, 0.44, 0.16, 1.15, 1.1, 1.03, -0.49, 0.03, 0.15, -1.85, 
##     0.21, 0.79, -0.26, 0.15, 0.46, 0.9, 0.39, 0.57, 0.18, 0.25, 
##     0.59, 0.84, 0.41, 1.41, 0.48, -0.43, 0.84, 0.64, 1.05, 1.15, 
##     1, 0.56, 0.28, 0.38, 0.61, 0.03, 0.21, 0.36, 0.46, 0.41, 
##     0.36, 0.72, 0.67, 0.44, 0.34, 0.41, 0.46, 0.48, 0.28, 0.13, 
##     0.43, 1.49, -0.05, 0.34, 0.1, 0.33, 0.38, 0.31, 0.21, 0.23, 
##     0.31, 0.41, 0.52, 0.46, 0.39, 0.31, 0.39, 0.44, 0.59, 0.43, 
##     0.39, 0.36, 0.33, 0.31, 0.03, -0.82, -0.94, -0.87, -0.18, 
##     0.82, 1.23, 2.1, 2.07, 1.61, 1.36, 1.13, 0.75, 0.66, 0.21, 
##     0.2, 0.41, 0.49, 0.46, 0.43, 0.48, 0.36, 0.33, 0.52, 0.62, 
##     0.59, 0.61, 0.85, 0.97, 0.9, 0.39, 0.2, 0.3, 0.48, 0.41, 
##     0.34, 0.28, 0.34, 0.54, 0.57, 0.56, 0.48, 0.59, 0.61, 0.61, 
##     0.49, 0.8, 0.52, 0.2, 0.48, 0.46, 0.18, -0.2, -0.13, -0.07, 
##     0.07, 0.75, 0.95, 0.89, 1.03, 0.98, 0.84, 0.77, 0.69, 0.64, 
##     0.84, 0.97, 0.97, 0.87, 0.79, 0.72, 0.64, 0.51, 0.67, 0.38, 
##     0.43, 0.39, 0.44, 0.52, 0.51, 0.57, 0.57, 0.52, 0.71, 0.66, 
##     0.62, 0.62, 0.49, 0.54, 0.66, 0.57, 0.34, 0.38, 0.43, -0.16, 
##     0.16, -0.08, -0.25, -0.05, 0.59, 0.36, 0.26, 0.62, 0.54, 
##     0.72, 0.62, 0.79, 1.05, 1.25, 1, 0.56, 0.25, 0.33, 0.54, 
##     0.56, 0.57, 0.71, 0.59, 0.43, 0.48, 0.56, 0.44, 0.05, 0.05, 
##     0.11, 0.03, -0.07, -0.07, 0.18, 0.25, 0.28, 0.3, 0.39, 0.44, 
##     0.48, 0.44, 0.48, 0.31, 0.54, 0.31, 1.02, 1.2, 0.98, 1.21, 
##     0.74, 0.92, 0.9, 0.64, 1.41, 0.52, 1.15, 1.15, 1.18, 1.13, 
##     1.66, 1.18, 0.21, 0.13, 0.26, 0.64, 0.41, 0.41, 0.38, 0.34, 
##     0.34, 0.33, 0.52, 0.66, 0.61, 0.56, 0.28, 0.25, 0.23, 0.13, 
##     -0.03, 0.1, 0.21, 0.33, -0.13, -0.15, -0.23, -0.23, -0.18, 
##     0.18, 0.26, 0.25, 0.33, 0.59, 0.71, 0.64, 0.51, 0.71, 0.43, 
##     0.36, 0.26, 1.07, 1.41, 1.39, 1.3, 1.05, 0.92, 0.82, 0.87, 
##     0.28, 0.2, 0.49, 0.52, 0.46, 0.21, -0.11, 0, 0.07, 0.23, 
##     0.3, -0.36, 0.02, -0.13, -0.38, 0.41, 0.85, 1.07, 0.92, 0.9, 
##     0.98, 0.9, 0.54, 0.46, 0.75, 0.82, 0.77, 0.48, 0.34, 0.48, 
##     0.56, 0.28, -0.08, 0.07, 0.03, -0.2, -0.46, -0.69, -0.82, 
##     -0.94, -0.49, -0.23, 0.08, 0.05, 0.11, 0.31, 0.41, 0.28, 
##     0.38, 0.36, 0.36, 0.43, 0.54, 0.46, 0.39, 0.31, 0.52, 0.72, 
##     0.8, 0.74, 1.33, 1.39, 1.1, 1.1, 1.12, 1.28, 1.16, 1.23, 
##     1.16, 1.23, 1.08, 1.02, 0.95, 0.89, 0.9, 0.97, 0.25, 0.25, 
##     0.48, 0.49, 0.38, 0.34, 0.34, 0.28, 0.52, 0.52, 0.51, 0.48, 
##     0.41, 0.39, 0.48, 0.54, 0.74, 0.79, 0.74, 0.87, 0.97, 1.1, 
##     1.15, 0.33, 0.33, 0.34, 0.3, 0.3, 0.33, 0.31, 0.33, 0.31, 
##     0.28, 0.33, 0.34, 0.33, 0.33, 0.33, 0.31, 0.3, 0.31, 0.31, 
##     0.3, 0.3, 0.31, 0.33, 0.3, 0.31, 0.31, 0.33, 0.31, 0.31, 
##     0.31, 0.33, 0.31, 0.33, 0.31, 0.3, 0.31, 0.31, 0.33, 0.3, 
##     0.3, 0.33, 0.33, 0.31, 0.31, 0.31, 0.28, 0.31, 0.33, 0.3, 
##     0.28, 0.28, 0.28, 0.28, 0.31, 0.31, 0.33, 0.34, 0.39, 0.36, 
##     0.34, 0.33, 0.26, 0.26, 0.28, 0.3, 0.34, 0.34, 0.34, 0.33, 
##     0.46, 0.44, 0.71, 0.49, 0.61, 0.64, 0.54, 0.44, 0.51, 0.44, 
##     0.36, 0.26, 0.18, 0.23, 0.16, 0.03, -0.11, -0.1, -0.03, -0.15, 
##     -0.15, -0.16, -0.25, -0.2, -0.18, -0.2, -0.18, -0.25, -0.23, 
##     0.16, 0.18, 0.18, 0.07, -0.02, 0.05, 0.18, 0.31, 0.28, 0.15, 
##     0.31, 0.57, 0.52, 0.48, 0.23, 0.23, 0.21, 0.23, 0.38, 0.54, 
##     0.56, 0.69, 0.75, 0.57, 0.33, 0.34, 0.36, 0.44, 0.44, 0.49, 
##     0.49, 0.44, 0.49, 0.59, 0.74, 0.03, 0.03, 0.31, 0.43, 0.39, 
##     0.39, 0.36, 0.36, 0.28, 0.23, 0.23, 0.3, 0.41, 0.51, 0.69, 
##     0.64, 0.67, 0.41, 0.46, 0.48, 0.56, 0.62, 0.64, 0.31, 0.31, 
##     0.16, 0.15, 0.28, 0.25, 0.11, -0.1, -0.69, -0.61, -0.51, 
##     -0.52, -0.61, 0.48, 0.49, 0.46, 0.44, 0.36, 0.39, 0.49, 0.54, 
##     0.62, 0.69, 0.57, 0.41, 0.52, 0.36, 0.41, 0.48, 0.54, 0.43, 
##     0.25, 0.21, 0.3, 0.25, -0.21, -0.46, -0.48, -0.43, -0.34, 
##     -0.23, -0.31, -0.49, -0.3, -0.11, -0.46, -0.54, -0.31, -0.18, 
##     -0.18, -0.33, -0.11, -0.18, 0.03, -0.03, 0, 0.56, 0.52, 0.36, 
##     0.33, 0.21, 0.26, 0.38, 0.34, 0.54, 0.51, 0.48, 0.43, 0.66, 
##     0.57, 0.57, 0.43, 0.31, 0.31, 0.1, 0.15, 0.3, -0.44, -0.51, 
##     -0.49, -0.48, -0.2, -0.21, -0.34, -0.33, -0.05, 0.07, 0.2, 
##     0.3, 0.38, 0.23, 0.34, 0.39, 0.41, 0.1, 0.13, 0.36, 0.39, 
##     0.39, 0.41, 0.38, 0.39, 0.33, 0.33, 0.34, 0.48, 0.72, 0.77, 
##     0.69, 0.59, 0.44, 0.38, 0.38, 0.57, 0.46, 0.64, 0.74, 0.43, 
##     0.3, 0.1, 0.38, 0.31, 0.25, -0.48, -0.36, -0.25, -0.28, 0.64, 
##     0.56, 0.41, 0.33, 0.16, 0.9, 0.67, 0.62, 0.54, 0.43, 0.44, 
##     0.49, 0.51, 0.57, 0.64, 0.84, 0.89, 1.05, 0.49, -0.02, 0, 
##     -0.74, -0.44, -0.3, -0.38, -0.25, -0.2, 0.28, 0.33, 0.48, 
##     0.51, 0.51, 0.49, 0.52, 0.59, 0.79, 1.2, 1.33, 1.21, 0.89, 
##     0.87, 0.9, 0.82, 0.82, 0.8, 0.92, 0.87, 1.08, 1.25, 1.21, 
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##     0.11, 0.38, 0.44, 0.38, 1.08, 1.2, 1.2, 1.35, 1.35, 0.79, 
##     0.79, 0.74, 1.26, 1.18, 1.15, 0.85, 0.79, 0.95, 0.67, 0.69, 
##     0.95, 0.87, 0.69, 0.72, 0.67, 0.56, 0.46, 0.44, 0.41, 0.34, 
##     0.36, 0.36, 0.08, 0.3, 0.26, -0.51, -0.39, -0.34, -0.03, 
##     -0.03, 0, 0.34, 0.46, 0.3, 0.34, 0.41, 0.57, 0.61, 0.57, 
##     0.52, 0.49, 0.41, 0.46, 0.52, 0.57, 0.64, 0.72, 0.79, 0.82, 
##     1.05, 0.98, 0.75, 0.85, 1.07, 0.75, 1.23, 1, 0.71, 0.66, 
##     0.62, 0.8, -0.16, -0.02, 0.21, 0.21, 0.2, 0.05, -0.13, 0.61, 
##     -0.11, -0.18, 0.21, 0.08, 0.43, 0.05, 0.1, -0.15, -0.1, -0.03, 
##     0.11, -0.11, -0.43, -0.66, -0.79, -0.87, -0.87, -0.79, -0.25, 
##     -0.3, -0.38, -0.77, -0.84, -0.94, -0.9, -0.13, -0.34, -0.08, 
##     -0.16, -0.44, -0.56, -0.46, 0.18, 0.13, 0.02, -0.03, -0.07, 
##     -0.11, -0.1, -0.1, -0.11, -0.1, 0.08, -0.16, -0.21, -0.23, 
##     -0.15, -0.28, -0.25, -0.23, -0.07, -0.11, -0.11, -0.07, -0.08, 
##     -0.82, -0.8, -0.74, -0.46, -0.28, -0.03, 0.15, 0, 0, -0.02, 
##     -0.02, -0.03, -0.03, 0.05, -0.1, 0, -0.02, -0.05, -0.07, 
##     -0.08, 0.18, -0.02, -0.08, -0.07, -0.05, 0, -0.03, -0.03, 
##     -0.03, -0.03, -0.05, -0.02, 0, 0.02, 0.02, 0, -0.05, -0.08, 
##     0.03, 0.03, 0.03, 0.05, 0.1, 0.56, 0.11, 0.03, -0.1, 0.23, 
##     0.33, 0.44, 0.56, 0.66, 0.69, 0, -0.23, -0.07, -0.33, -0.23, 
##     -0.26, -0.15, -0.15, -0.25, 0.26, 0.62, 0.57, 0.41, 0.34, 
##     0.46, 0.62, 0.57, 0.64, 0.46, 0.23, 0.23, -0.21, -0.46, 0.21, 
##     0.1, -0.07, -0.05, -0.03, 0.03, 0.16, 0.26, 0.31, 0.46, 0.41, 
##     0.33, 0.26, 0.57, 0.62, -0.23, -0.2, -0.3, -0.23, 0, 0.2, 
##     0.46, 0.69, 0.54, 0.44, 0.38, 0.31, 0.28, 0.26, 0.3, 0.33, 
##     -0.38, -0.52, -0.11, 0.02, -0.2, -0.11, -0.18, -0.16, -0.11, 
##     -0.26, -0.28, -0.2, -0.21, 0.2, 0.1, 0.31, 0.3, 0.3, 0.31, 
##     0.31, 0.31, 0.31, 0.31, 0.33, 0.3, 0.31, 0.31, 0.28, 0.3, 
##     0.31, 0.31, 0.3, 0.3, 0.3, 0.3, 0.3, 0.33, 0.38, 0.23, 231, 
##     0.34, 0.25, 0.21, 0.26, 0.36, 0.39, 0.21, 0.25, 0.11, 0.18, 
##     0.28, 0.3, 0.3, 0.31, 0.31, 0.33, 0.33, 0.34, 0.34, 0.34, 
##     0.34, 0.34, 0.38, 0.44, 0.31, 0.25, 0.25, 0.26, 0.31, 0.28, 
##     0.33, 0.26, 0.18, 0.2, 0.25, 0.33, 0.23, 0.26, 0.3, 0.34, 
##     0.28, 0.25, 0.62, 0.21, 0.02, -0.07, -0.16, 0.16, 0.1, 0.1, 
##     -0.02, -0.11, -0.15, -0.39, -0.51, -0.52, -0.02, 0.34, 0.28, 
##     0.36, 0.85, 0.84, 0.54, 0.57, 0.31, 0.67, -0.3, 0.16, 0.16, 
##     0.2, 0.18, 0.31, 0.33, 0.18, 0.02, 0.11, -0.18, -0.41, -0.3, 
##     -0.38, -0.57, 0.3, 0.11, 0.23, -0.03, -0.03, -0.02, -0.02, 
##     -0.07, -0.11, -0.11, -0.28, -0.36, -0.39, -0.39, -0.38, -0.41, 
##     -0.03, -0.02, 0.67, 0.9, -0.56, -0.95, -1.03, -0.98, -0.89, 
##     -0.89, -0.82, -0.79, -0.44, -0.18, -0.03, -0.62, -0.71, -0.71, 
##     0.2, 0.13, -0.03, -0.05, -0.1, -0.51, -0.38, -0.57, -0.84, 
##     -0.75, -0.69, -0.54, -0.44, -0.43, -0.08, -0.05, 0.13, 0.57, 
##     0.67, 0.87, 1.12, 0.67, 0.98, 0.16, 0.05, 0.11, 0.75, -0.03, 
##     -0.23, 0.26, 0.23, 0.07, 0.03, 0.03, -0.34, -0.46, -0.49, 
##     -0.39, -0.44, -0.43, -0.33, -0.57, -0.85, -0.13, 0.02, 0.07, 
##     0.43, 0.48, 0.2, 0.1, -0.13, -0.1, -0.1, -0.16, -0.13, -0.11, 
##     -0.08, -0.02, -0.03, -0.13, -0.03, -0.03, -0.07, -0.05, -0.05, 
##     0.02, 0.08, -0.02, -0.02, -0.02, -0.2, -0.26, -0.28, -0.31, 
##     -0.56, -0.51, -0.46, -0.82, -0.51, -0.51, -0.57, -0.75, -0.64, 
##     -0.08, 0, 0.79, 0.94, 1.3, 1.77, 1.08, 1.84, 1.76, 1.49, 
##     1.07, 0.41, 0.54, 0.48, 0.13, -0.03, -0.07, -0.07, -0.23, 
##     -0.33, -0.56, -1.1, -1.18, -0.16, 0.11, 0.62, 0.84, 1.43, 
##     1.41, 1.49, 1.35, 1.1, 1.13, 1.02, 0.71, 0.39, 0.3, -0.08, 
##     -0.11, -0.1, -0.31, -0.71, -0.97, -1.08, -0.77, -0.31, 0.26, 
##     0.57, 0.31, 0.74, 1, 1.36, 1.48, 1.39, 1.3, 0.52, 1, -0.66, 
##     -0.98, -0.49, 0.28, 0.33, 0.28, 0.31, 1.25, 1.51, 2.26, 2.2, 
##     1.51, 1.28, 0.89, 0.57, 0.28, 0.89, 0.3, -0.44, -0.33, -0.79, 
##     -0.94, -0.92, -0.52, -0.57, -1.08, -1.03, -1.35, -0.39, -0.28, 
##     -0.62, 0.75, 1.02, 1.15, 2.26, 2.67, 1.76, 2.05, 1.71, 0.57, 
##     0.95, -0.05, 0.07, -0.02, -0.13, -0.21, -0.31, -0.94, -0.79, 
##     -0.62, -0.71, -1.33, 0.43, 1.95, -0.82, -1.64, -1.46, -1.61, 
##     -1.97, -2.13, -2.36, -2.2, -0.13, 0.74, 0.69, 0.84, 1.25, 
##     1.16, 1.07, 2.08, 1.71, 1.92, 1.9, 1.53, 0.25, 0.13, -0.13, 
##     0.26, 1.03, 0.95, 0.52, 0.38, 0.39, 0.33, -0.39, -0.49, -0.92, 
##     -1.08, -1.07, -1.26, -1.35, -1.51, -1.53, -1.66, -1.49, 0.33, 
##     0.64, 0.61, 0.59, 0.98, 1.41, 2.07, 2.69, 2.49, 2.4, 2.07, 
##     1.25, 1.35, 0.67, 0.05, 0.1, 0.05, 0.13, 0.23, 0.34, 0.41, 
##     0.36, 0.33, 0.33, 0.38, 0.38, 0.33, 0.46, 0.49, 0.43, 0.44, 
##     0.52, 0.52, 0.54, 0.59, 0.72, 0.89, 0.84, 0.77, 0.84, 0.61, 
##     0.61, 0.82, 0.85, 0.87, 0.97, 0.94, 0.72, 0.74, 0.85, 0.79, 
##     0.67, -0.13, -0.25, -0.13, -0.31, -0.56, -0.56, -0.82, -0.97, 
##     -0.74, -0.72, -0.75, -0.77, -0.84, -0.85, -0.62, -0.39, -0.51, 
##     -0.44, -0.43, -0.48, -0.41, -0.43, -0.46, -0.39, 0.07, 0.3, 
##     0.49, 0.46, 0.79, 0.61, 0.71, 0.84, 0.89, 0.98, 0.92, 1.12, 
##     0.89, 0.79, 0.97, 0.9, 0.92, 0.95, 0.89, 0.85, 0.87, 0.94, 
##     0.95, 1.02, -0.2, -0.02, 0.34, 0.34, 0.38, 0.31, 0.25, 0.2, 
##     0.23, 0.36, 0.62, 1.15, 1.08, 0.94, 1, 1.15, 1.16, 1.13, 
##     1.15, 1.05, 1.03, 1.03, 0.97, 0.95, 0.94, 0.9, 0.94, 1.02, 
##     0.66, 0.21, -0.05, -0.77, -0.98, -0.92, -1, -1.05, -0.92, 
##     -0.61, -0.57, -0.89, -0.9, -0.54, -0.46, -0.36, -0.2, -0.13, 
##     0.25, 0.38, 0.48, 0.97, 1.03, 1.07, 1, 0.97, 1.03, 0.66, 
##     0.11, -0.07, -0.15, -0.23, -0.39, -0.48, -0.72, -0.87, -1.13, 
##     -0.49, -0.69, -0.84, -0.57, -0.38, -0.34, -0.23, -0.13, -0.13, 
##     -0.16, -0.02, 0.25, 0.49, 0.43, 0.33, 0.41, 0.54, 0.69, 0.79, 
##     1.02, 1.46, 1.51, 1.51, 1.49, 1.53, 1.49, 1.46, 1.21, 1.12, 
##     1.31, 0.9, 0.85, 0.54, -0.38, -0.66, -0.59, -0.69, -0.84, 
##     -1.18, -1.02, -0.94, -1.15, -1.07, -0.79, -0.61, -0.25, -0.08, 
##     0.02, -0.28, -0.33, -0.26, -0.05, 0.25, 0.34, 0.44, 0.52, 
##     0.9, 1.02, 1.36, 1.15, 1.35, 1.41, 1.3, -0.44, -0.31, -0.25, 
##     -0.66, -0.59, -0.84, -1, -0.98, -0.36, -0.49, -0.66, -0.8, 
##     -0.62, -0.62, -0.43, -0.77, -0.62, 0.56, 0.72, -0.82, -0.84, 
##     -0.97, -1.2, -1.13, -1.2, -1.28, -1.23, -1.31, -1.18, -1.1, 
##     -1.02, -1.2, -1.15, -1.23, -0.85, -0.79, -0.79, -0.13, -0.08, 
##     0.48, 0.57, 0.69, 0.97, 1.08, 1.02, 0.87, 0.9, 1.23, 1.15, 
##     1.05, 1.1, 0.75, 0.46, -0.18, -0.74, -1.28, -1.16, -1.28, 
##     -1.41, -1.3, -1.21, -0.87, -0.75, -0.87, 0.71, 0.43, 0.79, 
##     0.97, 0.82, 1.03, 0.72, 0.79, 0.59, 0.38, 0.21, 0.13, 0.18, 
##     0.11, -0.02, -0.72, -0.66, -0.46, -0.03, -0.15, -0.48, -0.79, 
##     -0.9, -0.25, -0.21, -0.08, -0.16, -0.72, -0.75, -0.62, -0.48, 
##     -1.03, -0.16, 0.61, 0.54, 1, 1.44, 1.36, 0.59, 0.08, 0.26, 
##     0.44, 0.21, 0.28, 0.54, 0.36, 0.21, 0.02, -0.16, -0.39, -1.1, 
##     -1.03, -0.44, -0.67, -1.03, -0.54, -1.02, -1.02, -0.16, 0.61, 
##     0.36, 0.26, 0.2, 0.11, 0.11, 0.26, 0.49, 0.59, 1.15, 1.26, 
##     1.1, 1.08, 1.49, 1.08, -0.05, 0, 0.07, 0.07, -0.08, -0.02, 
##     -0.05, -0.07, -0.03, -0.02, -0.03, -0.07, 0, -0.03, -0.08, 
##     -0.02, -0.02, 0, 0, -0.02, -0.03, -0.05, 0, -0.03, -0.03, 
##     0, 0.02, -0.3, 0.69, 0.67, 1, 1.3, 1.1, 1.1, 1.13, 1.13, 
##     1.21, 1.28, 0.87, 0.92, 1.39, 1.35, 0.95, 0.36, 0.34, 0.21, 
##     0.2, -0.43, -0.54, -0.59, -1.13, -0.64, -0.71, -1.12, -0.79, 
##     -0.8, -0.85, -0.67, 0.95, -0.05, -0.21, 0.62, 0.71, 1.54, 
##     1.48, 1.35, 1.07, 1.05, 0.98, 1.03, 1.18, 1.21, 1.08, 0.72, 
##     0.54, 0.28, -0.15, -0.34, -0.62, -0.72, -0.49, -0.51, -0.8, 
##     -0.61, -0.54, -0.59, -0.77, 0.75, 0.39, 0.39, 0.43, -0.41, 
##     -0.48, -0.49, -0.49, -0.48, -0.39, -0.52, -0.69, -1.1, -0.74, 
##     -0.77, -0.92, -0.84, -0.75, -0.71, -0.64, 0.1, 0.67, 0.48, 
##     0.69, 0.71, -0.25, -0.74, -1.13, -0.98, -0.82, -0.71, -0.64, 
##     -1.03, -1.08, 0.38, 0.52, 0.64, 1.2, 1, 1.21, 1.07, 0.92, 
##     0.82, 0.97, 0.77, 0.36, 0.31, 0.39, -0.3, -0.59, -0.57, -0.72, 
##     -0.64, -0.75, -0.75, -0.84, -0.84, 0.25, 0.2, 0.03, -0.61, 
##     -0.8, -0.75, -0.41, -0.33, -0.43, -0.57, -0.82, -0.69, -1.16, 
##     -1.15, -0.87, 0.51, 0.44, 0.3, 0.25, 0.34, 0.26, 0.18, 0.21, 
##     -0.41, -0.54, -0.54, -0.74, -0.69, -0.85, -0.92, -0.94, -0.94, 
##     -1.13, -1.1, -0.92, -0.28, -0.08, 0.44, 0.57, 0.59, 0.62, 
##     1.28, 1.3, 1.51, 1.39, 0.82, 0.97, 1.1, 0.59, 0.62, 0.41, 
##     0.43, 0.39, 0.18, -0.21, -0.25, -0.13, -0.08, -0.21, -0.72, 
##     -0.69, 0.39, 0.15, 0.07, -0.08, -0.18, -0.08, -0.15, -0.16, 
##     -0.13, -0.07, -0.13, -0.3, -0.21, 0.03, -0.02, -0.02, -0.03, 
##     0.02, 0.08, 0.13, 0.07, 0.02, 0.05, -0.02, 0.18, 0.43, -0.77, 
##     -0.94, -0.97, -0.97, -1.02, -1.05, 0.18, -0.23, -0.41, 0.05, 
##     0.44, 0.72, 0.48, 0.67, 1.36, 0.75, 0.71, -0.49, -0.51, -1.44, 
##     -1.18, -1.41, -1.03, -0.84, -0.02, 0.26, 0.25, 0.16, 0.05, 
##     0.72, -0.89, -1, -1.23, -0.95, 0.15, 0.1, 0.05, 0.07, -0.03, 
##     0, 0.13, 0.25, 0.44, 1.2, 1.2, 1.18, 1.13, 0.71, 0.39, 0.18, 
##     0.3, 0.28, -0.49, -0.28, -0.33, -0.48, -0.84, -0.07, -1.16, 
##     -0.07, 0.16, -0.2, -0.46, -0.25, 0.02, 0.67, 0.87, 1.57, 
##     1.48, 0.8, 0.52, 0.48, 0.64, 0.59, -0.62, -0.46, -0.61, -0.84, 
##     -1.08, -1.16, -1.48, -1.39, 0.71, 0.28, -0.02, -0.08, 1.1, 
##     1.49, 1.46, 1.05, 0.8, 1.03, 0.13, -0.18, -0.67, -0.75, -0.49, 
##     -0.75, 1.1, 1.05, 0.13, 0, -0.36, -0.62, -0.61, -0.61, -1.07, 
##     -1.23, -1.18, -1.56, -0.66, 0.26, 0.97, 1.53, 1.67, 1.46, 
##     1.56, 1.1, 1.1, 0.46, 0.36, 0.07, 0, 0, -0.3, -0.69, -1.05, 
##     -1.23, -1.28, -1.35, 0.16, 0.66, 0.33, 0.15, 0.54, 1.18, 
##     1.2, 1.49, 0.67, 0.44, 0.85, 1.16, 1.41, 1.12, 0.72, 0.21, 
##     0.41, 0.67, -0.75, -1.08, -0.74, -0.75, -0.92, -1.31, -1.25, 
##     -0.16, 0.11, 0.34, 0.41, 0.85, 2.62, 2.03, 0.3, 0.72, 0.92, 
##     1.25, 1.51, 0.13, -0.2, 1.92, 1.56, 1.2, 1.02, 0.74, 0.59, 
##     0.9, -0.02, 0.13, 0.16, -0.02, -0.05, -0.1, -0.15, 0.07, 
##     0.03, 0.59, 0.61, 0.62, 0.54, 0.48, 0.49, 0.54, 0.77, 0.8, 
##     1.23, 0.75, 0.95, 0.46, 0.39, 0.39, 0.38, 0.39, 0.49, 0.54, 
##     0.56, 0.51, 0.48, 0.51, 0.52, 0.57, 0.62, 0.57, 0.54, 0.59, 
##     0.61, 0.48, 0.44, 0.49, 0.52, 0.61, 0.61, 0.62, 0.64, 0.82, 
##     0.87, 0.98, 1.08, 1.15, 1.16, 1.1, 1, 0.89, 0.36, 0.31, 0.39, 
##     0.43, 0.51, 0.48, -0.08, -0.44, -0.48, -0.43, -0.94, -0.51, 
##     0.08, 0.21, 0.08, 0.48, 0.51, 0.59, 0.49, 0.59, 0.51, 0.49, 
##     1.25, 2, 1.54, 1.43, 0.95, 0.9, 1.12, 1.21, 1.08, 0.97, 0.97, 
##     0.89, 0.8, 0.82, 0.95, 0.89, 0.79, 0.75, 0.62, 0.51, 0.28, 
##     0.36, 0.36, 0.38, 0.34, 0.26, 0.34, 0.56, 0.57, 0.49, 0.51, 
##     0.61, 1.08, 1.15, 1.3, 1.51, 1.49, 1.59, 1.72, 1.85, 0.74, 
##     0.3, 0.28, -0.39, -0.74, -1.02, -0.38, -0.46, -0.61, -0.84, 
##     -0.89, -0.66, -0.54, -0.46, -0.03, 0.05, 0.03, -0.03, 0.46, 
##     0.51, 0.48, 0.48, 0.77, 0.85, 1.08, 1.2, 1.35, 1.41, 1.79, 
##     1.79, 1.69, 0.92, 1.23, 1.94, 2.35, 2.12, 1.57, -0.33, 0.98, 
##     0.57, 0.48, 0.36, 0.28, 0.26, 0.25, 0.02, 0.07, 0.03, 0.07, 
##     0, -0.15, -0.89, -0.61, -0.44, -0.43, -0.48, 1.21, 1.44, 
##     1.41, 1.43, 1.72, 0.84, 1.12, 1.41, 0.89, 0.67, 0.61, 0.66, 
##     0.71, 0.67, 0.69, 0.57, 0.49, 0.33, 0.43, -0.08, 0.33, 0.39, 
##     0.44, 0.44, 0.51, 0.51, 0.52, 0.59, 0.74, 0.87, 1.33, 1.57, 
##     1.62, 1.56, 1.43, 1.13, 0.92, 0.84, 1.13, 1.31, 0.95, 0.92, 
##     0.8, 0.64, 0.71, 0.71, 0.69, 0.61, 0.46, 0.62, 0.57, 0.3, 
##     0.13, 0.1, 0.05, 0.03, -0.03, -0.15, -0.25, -0.21, -0.77, 
##     -1.08, -0.98, -0.77, -0.51, 0.38, 0.21, 0.18, 0.34, 0.61, 
##     0.51, 0.43, 0.75, 1.12, 1.53, 1.57, 1.77, 2.12, 1.77, 1.31, 
##     1.15, 0.84, 1.35, 1.54, 0.9, 0.59, 1, 1, 1.02, 0.74, 0.67, 
##     0.49, 0.39, 0.3, 0.34, 0.57, 0.54, 0.46, 0.41, 0.44, 0.34, 
##     0.28, 0.25, 0.21, 0.1, -0.05, -0.16, -0.13, 0.07, 0.1, -1.05, 
##     -0.64, -0.28, -0.16, -0.05, 0.28, 0.44, 0.46, 0.43, 0.41, 
##     0.41, 0.41, 0.33, 0.34, 0.49, 1.48, 1.31, 1.23, 1.07, 0.95, 
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##     0.48, 0.67, 0.94, 1.31, 1.57, 1.18, 0.9, 0.87, 0.51, 0.49, 
##     0.44, 0.85, 1.28, 1.3, 1.35, 1.41, 1.08, 0.8, 0.9, 0.69, 
##     0.77, 0.9, 0.69, 0.54, 0.8, 0.79, 0.67, 0.66, 0.75, 0.84, 
##     0.69, 0.31, -0.23, -0.66, -0.69, -0.1, 0.39, 0.39, 0.21, 
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##     2.08, 2.9, 1.07, 1.1, 0.95, 0.92, 1.05, 1.07, 1.02, 1.13, 
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##     -1.12, -1.12, -0.11, 0.05, 0.13, 0.43, 0.8, 1.26, 1.59, 2.08, 
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##     0.15, 0.23, 0.28, 0.43, 0.31, -0.02, 0.3, 0.64, 0.48, 0.31, 
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##     0.05, 0.07, 0.07, 0.18, 0.2, 0.41, 0.3, 0.08, -0.28, 0.13, 
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##     -0.34, -0.26, 0.1, 0.15, 0.21, 0.16, 0.08, 0, -0.03, 0.46, 
##     0.23, 0.31, 0.41, 0.44, -0.1, -0.15, -0.03, 0.3, -0.08, -0.11, 
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##     -0.05, 0.03, 0.13, 0.31, 0.36, 0.13, 0.13, 0.15, 0.38, 0.23, 
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##     -0.59, -0.56, -0.25, -0.34, -0.36, 0.02, 0.03, 0.05, 0, 0.05, 
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##     -0.97, -0.79, -0.75, -0.72, -0.71, -0.71, -0.69, -0.75, -0.69, 
##     -0.75, -0.23, -0.26, -0.08, 0.02, 0, 0.3, 0.46, 0.9, 1.16, 
##     1.35, 1.21, 1.23, 1.21, 1.12, 1.12, 1.43, 1.48, 1.56, 1.48, 
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##     -0.69, -0.59, -0.52, -0.15, -0.05, -0.08, -0.15, -0.16, 0.48, 
##     0.54, 0.61, 0.67, 0.59, 0.44, 0.2, 0.13, 0.38, 0.48, 0.59, 
##     0.67, 0.79, 0.87, 1.16, 0.49, 0.41, 0.43, 0.41, 0.3, 0.2, 
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##     0.16, 0.15, 0, -0.11, -0.18, -0.03, 0.08, 0.28, 0.52, 0.52, 
##     0.69, 0.72, 0.72, 0.74, 0.75, 0.69, 0.33, 0.13, 0.16, 0.39, 
##     0.64, 0.57, 0.57, -0.41, -0.13, 0.11, -0.02, -0.31, 0, 0.46, 
##     0.54, 0.71, 0.66, 0.62, 0.62, 0.66, 0.49, 0.38, 0.31, 0.1, 
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##     0.38, 0.39, 0.57, 0.69, 0.95, 1.02, 0.71, -0.07, -0.02, 0.41, 
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##     -0.43, -0.41, -0.26, 0.3, 0.34, 0.31, 0.28, 0.3, 0.36, 0.46, 
##     0.61, 0.82, 1.02, 1.18, 1.31, 1.16, 0.54, 0.21, 0.1, 0, 0.49, 
##     0.54, 0.46, 0.38, 0.13, 0.07, 0.03, 0.07, 0.05, -0.05, -0.07, 
##     -0.02, -0.08, -0.31, -0.34, -0.48, -0.11, 0.43, 0.69, 0.71, 
##     0.46, 0.36, 0.25, 0.26, 0.3, 0.43, 0.66, 0.43, 0.3, 0.11, 
##     0.13, 0.15, 0.28, 0.39, 0.56, 0.66, 0.67, 0.54, 0.57, 0.54, 
##     0.33, 0.49, 0.31, 0.16, 0.31, 0.62, 0.41, 0.31, 0.16, -0.02, 
##     -0.02, -0.23, -0.38, -0.21, 0.11, 0.15, 0.1, -0.13, 0.23, 
##     0.36, 0.38, 0.41, 0.57, 0.77, 0.51, 0.38, 0.56, 0.66, 0.82, 
##     0.8, 0.85, 0.92, 1, 1.02, 1, 0.9, 0.75, 0.79, 0.95, 0.67, 
##     0.54, 0.71, 0.92, 1, 0.25, -0.11, -0.05, -0.07, -0.07, -0.05, 
##     0.03, 0.1, 0.03, -0.03, 0.08, 0.08, 0.07, -0.11, -0.15, -0.18, 
##     -0.21, -0.18, -0.23, -0.23, -0.23, -0.2, 0.2, 0.2, 0.18, 
##     -0.23, -0.26, -0.25, -0.16, -0.15, -0.18, -0.23, -0.07, -0.05, 
##     -0.21, -0.21, 0.02, 0.05, -0.28, 0.07, 0.2, 0.21, 0.28, 0.08, 
##     -0.03, -0.03, 0.07, 0.05, 0.05, 0.08, 0.05, 0.05, 0.3, 0.39, 
##     0.11, 0.15, 0.05, 0.03, -0.02, -0.03, -0.05, 0.02, 0.07, 
##     -0.08, -0.36, -0.31, -0.52, -0.51, -0.44, -0.54, -0.52, -0.36, 
##     -0.23, -0.11, 0, -0.05, -0.16, -0.21, -0.54, 0.2, 0.07, -0.13, 
##     -0.11, 0.34, 0.62, 0.67, 0.69, 0.62, 0.62, 0.23, 0.2, 0.15, 
##     0.08, 0.23, 0.15, 0.1, -0.02, -0.03, -0.02, -0.59, -0.61, 
##     -0.62, -0.41, -0.92, -0.98, -0.8, -0.03, -0.16, 0.05, 0.48, 
##     0.92, 0.71, 0.77, 1.1, 0.15, 0.07, 0.03, 0.07, -0.69, -0.79, 
##     -0.87, -0.41, -0.98, -1.03, -0.41, -0.31, -0.2, -0.02, 0.15, 
##     0.43, 0.51, 0.52, 0.79, 0.66, 0.92, 0.92, 1, 1.03, 0.85, 
##     0.39, -0.02, -0.08, -0.1, -0.44, -0.56, -0.64, -0.61, -0.66, 
##     -0.67, -0.61, -0.54, -0.05, -0.08, -0.15, 0.15, 0.44, 0.39, 
##     0.64, 0.87, 1.03, 0.74, 0.72, 0.54, -0.1, -0.15, -0.07, 0.05, 
##     -0.05, -0.28, -0.46, -0.56, -0.44, -0.33, -0.36, -0.39, -0.23, 
##     -0.11, 0.05, 0, 0.05, 0.05, 0.25, 0.56, 0.8, 0.57, 0.67, 
##     0.75, 0.62, 0.49, 0.54, 0.38, 0.05, -0.02, -0.38, -0.21, 
##     0.21, 0.25, 0.15, 0.07, -0.49, -0.46, -0.39, -0.18, -0.11, 
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##     0.66, 0.66, 0.57, 0.56, 0.54, 0.36, 0.49, 0.57, 0.39, 0.34, 
##     0.31, 0.66, 0.59, 0.72, 0.77, 0.85, 0.82, 0.77, 0.71, 0.69, 
##     0.67, 0.82, 0.95, 0.48, 0.41, 0.52, 0.64, 0.49, 0.39, 0.85, 
##     0.82, 0.67, 0.59, 0.05, -0.03, 1.02, 0.69, 0.07, 0.33, 0.34, 
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##     0.15, 0.11, 0.13, 0.15, 0.33, -0.1, -0.02, 0.2, 0.51, 0.8, 
##     0.69, 0.46, 0.51, 0.41, 0.31, 0.13, 0.08, 0.11, 0.54, 0.2, 
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##     -0.07, -0.08, 0.07, 0.25, -0.57, -0.41, -0.15, 0, 0.18, 0.34, 
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##     -0.74, -1, -1.13, -1.08, -0.77, -0.54, -0.21, -0.21, 0.02, 
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##     0.18, 0.33, 0.3, -0.48, -0.8, -0.75, -0.59, -0.34, -0.16, 
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##     -0.33, 0.08, 0.31, 0.67, 0.54, -0.44, -0.28, 0.1, 0.51, 0.52, 
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##     0.34, 0.16, 0.07, -0.39, -0.43, -0.33, 0.34, 0.44, 1.21, 
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##     0.08, 0.3, 0.36, 0.26, 0.13, 0.33, 0.28, 0.36, 0.25, 0.1, 
##     0.36, 0.1, 0.02, 0.16, 0.05, -0.2, -0.07, 0.03, 0.07, 0.05, 
##     0.02, -0.05, -0.1, -0.15, 0.18, 0.64, 0.69, 0.69, 0.56, 0.23, 
##     0.43, 0.33, 0.79, 0.8, 0.28, 0, -0.18, -0.03, -0.25, 0.66, 
##     0.9, 0.44, 0.71, 0.89, -0.44, -0.26, -0.11, -0.61, -0.26, 
##     -0.26, -0.26, -0.28, -0.74, -1.07, -0.72, -0.41, -0.41, -0.02, 
##     -0.02, 0.56, 0.52, 0.71, 0.89, 0.82, -0.11, 1.12, 1.43, 1.44, 
##     1.46, 0.51, 0.66, 0.56, 0.26, 0, -0.44, -0.94, -0.56, -0.28, 
##     -0.16, -0.3, -0.48, -0.33, -0.16, -0.08, 0.16, 0.38, 0.49, 
##     0.85, 0.92, 1, 1.08, 0.89, 0.95, 0.59, 0.74, 0.92, 1.1, 1.05, 
##     0.92, 0.8, 0.34, 0.41, 0.43, 0.31, 0.41, 0.72, 0.26, 0.08, 
##     0.03, -0.03, -0.16, -0.54, -1, -0.64, -0.95, -0.62, -0.38, 
##     -0.46, -0.44, -0.41, -0.3, -0.26, 0.16, 0.33, 0.38, 0.57, 
##     0.57, 0.9, 1.08, 1.05, 0.97, 0.74, 0.74, 0.84, 0.43, 0.67, 
##     0.28, -0.03, -0.02, -0.07, -0.1, -0.44, -0.56, -0.87, -0.82, 
##     0.61, 0.39, 0.33, 0.57, 0.38, 0.54, 0.71, 0.8, 0.33, 0.25, 
##     -0.16, 0.08, 0.21, 0.39, 0.51, 0.57, 0.46, 0.67, 0.66, 0.26, 
##     0.13, 0.18, 0.1, -0.05, -0.25, -0.25, -0.3, -0.48, -0.44, 
##     -1.02, -0.8, -0.05, 0.02, -0.05, -0.03, 0.07, 0.25, 0.25, 
##     0, 0.15, 0.31, 0.2, 0.26, 0.34, 0.34, 0.18, -0.25, -0.2, 
##     -0.26, -0.28, -0.33, -0.51, -0.41, -0.2, 0.41, 0.39, 0.36, 
##     0.08, 0.18, 0.3, 0.49, 0.05, -0.02, 0.3, 0.49, 0.71, 0.66, 
##     0.75, 0.71, 0.74, 0.84, 0.74, -0.05, -0.33, -0.34, -0.52, 
##     -0.64, -0.67, -0.79, -0.82, -0.84, -0.87, 0.31, 0.26, 0.33, 
##     0.39, -0.43, -0.49, -1.07, -0.98, -0.9, -0.85, -1.21, -0.21, 
##     -0.39, -0.28, 0.33, 0.44, 0.05, 0.03, 0.31, 0.38, 0.49, -0.02, 
##     0.21, 0.44, 0.48, 0.44, 0.56, 0.85, 1.44, 1.62, 1.18, 1.15, 
##     1.02, 0.95, 1.02, 1.46, 1.64, 2.25, 2.26, 1.76, 1.43, 1.3, 
##     1.31, 1.03, 0.74, 0.79, 0.34, 0.43, -0.08, -0.13, -0.03, 
##     -0.2, -0.34, -0.44, -0.51, -0.59, -0.26, -0.8, -0.98, -0.46, 
##     0, 0.36, 0.3, 0.21, 0.31, 0.67, 0.72, 0.74, 0.72, 0.92, 1, 
##     1.07, 1.23, 1.02, 0.92, 1.31, 1.54, 1.25, 1.64, 1.84, 1.59, 
##     1.43, 1.43, 1.02, 0.66, -0.25, -0.1, 0.13, 0.18, -0.49, -0.64, 
##     -0.54, -0.36, -0.26, -0.18, -0.38, -0.59, -0.62, -0.64, -0.74, 
##     -0.9, -1.05, -0.97, -0.39, -0.03, 0.16, 0.33, 0.52, 1.18, 
##     1.26, 1.07, 1.02, 1.15, 1.2, 1.71, 1.79, 1.79, 0.75, -0.07, 
##     -0.39, -0.44, -0.34, -0.18, 0.9, 0.97, 1.18, 0.95, 0.66, 
##     0.21, 0.11, -0.03, 0.13, 0.03, 0, -0.13, -0.11, -0.1, -0.03, 
##     -0.07, -0.02, -0.03, -0.02, -0.05, -0.02, 0, 0.05, 0.02, 
##     0, -0.1, -0.31, -0.31, -0.38, -0.48, -0.34, -0.48, -0.71, 
##     -0.82, -0.8, -0.61, -0.54, -0.71, -0.92, -0.8, -0.72, -0.69, 
##     -0.69, -0.75, -1, -1.12, -0.66, -0.07, -0.11, -0.08, 0.49, 
##     0.57, 0.9, 1.12, 1.21, 1.48, 0.51, 1.15, 1.57, 1.74, 1.67, 
##     -0.31, -0.16, -0.02, -0.05, -0.49, -0.59, -0.62, -0.75, -0.97, 
##     -1, -0.85, -0.8, -0.69, -0.39, -0.67, -1.3, 0.8, 0.18, 0.08, 
##     0.28, 0.61, 0.84, 1.05, 1.33, 1.31, 1.26, 1.08, 0.97, 0.92, 
##     0.95, 0.59, 0.46, 0.62, 0.59, 0.31, -0.2, 0.85, 0.82, 0.59, 
##     0.9, 1.28, -0.3, -0.33, -0.39, -1.12, -0.77, 0.82, 0.39, 
##     0.13, 0.79, 0.8, 1.15, 1.15, 1.59, 1.35, 0.9, 0.92, 0.95, 
##     0.87, 0.89, 1.02, 0.69, 0.52, 0.08, -0.41, -0.51, -0.57, 
##     -0.61, -0.59, -0.89, -1.12, -1.2, -1.16, -0.62, 0.36, 0.87, 
##     0.72, 0.41, 0.64, 1.2, 1.36, 1.51, 1.67, 1.72, -0.72, -1.2, 
##     -1.46, -1, 0.44, 0.64, 0.64, 0.69, 0.84, 0.95, 0.94, 1, 1.12, 
##     0.95, 0.97, 1.15, 1.16, 0.71, 0.16, 0.1, 0.02, -0.3, -0.69, 
##     -1.02, -1.62, -1.62, -1.03, 0.26, 0.44, 0.98, 1.05, 1.07, 
##     1.03, 2, 1.82, -0.05, 0.08, 0, -0.44, -0.61, -0.71, -0.79, 
##     -0.79, -1.02, -1.51, -1.66, -1.36, -1.26, -0.52, 0.92, 0.85, 
##     0.59, 0.84, 1.05, 1.21, 1.49, 1.72, 1.26, 1.25, 0.46, 0.8, 
##     1.15, 1.16, 0.97, 0.92, 0.59, -0.67, -0.77, -0.67, -0.59, 
##     -0.54, -0.57, -0.79, -1.39, -0.94, -0.84, -1.87, -0.07, 0.26, 
##     0.52, 0.84, 0.79, 0.72, 0.72, 0.71, 0.82, 0.92, 0.98, 1.13, 
##     1.16, 1.23, 1.46, 1.48, 1.08, 1.23, 1.16, 0.39, 0.18, -0.08, 
##     -0.08, -0.33, -0.36, -0.25, -0.13, -0.03, 0, -0.05, -0.07, 
##     0.07, 0.08, 0.03, 0.05, 0.03, 0.03, -0.1, -0.34, -0.3, -0.23, 
##     0.05, 0.05, -0.16, -0.28, 0.11, 0.08, -0.02, -0.07, -0.11, 
##     0, 0.11, 0.26, 0.23, 0.03, -0.03, -0.08, 0.02, -0.05, 0.44, 
##     0.16, 0.52, 0.49, -0.08, -0.07, -0.08, -0.13, -0.11, -0.08, 
##     -0.23, -0.2, -0.57, -0.77, 0.26, 0.41, 0.38, 0.54, 0.89, 
##     0.57, 0.61, 0.28, 0.18, 0.34, 0.59, -0.08, 0.28, 0.03, -0.08, 
##     0.1, 0.48, 0.43, 0.23, 0.23, 0.31, -0.23, -0.33, -0.38, -0.3, 
##     -0.48, -0.64, -0.74, 0.1, -0.31, -0.62, -1.46, -1.8, 1.07, 
##     0.71, 0.15, 0.74, 1.15, 1.13, 1.94, 1.79, 1.3, 1.03, 0.92, 
##     0.02, -0.13, 0.43, 0.44, 0.34, -0.41, -0.33, -0.33, -0.84, 
##     -0.72, -0.95, -2.28, -2.23, -2.15, -0.07, 1.18, 0.97, 1.25, 
##     1.57, 1.59, 1.43, 1.25, -0.13, -0.3, 0.13, -0.11, -0.05, 
##     0.03, 0.18, 0.02, -0.1, -0.3, -0.28, -0.26, -0.23, -0.18, 
##     -0.13, -0.03, 0.03, -0.3, -0.2, -0.1, -0.03, 0.07, 0.2, 0.44, 
##     0.1, 0.15, 0.59, 0.38, -0.48, -0.48, 1.16, 0.85, 0.64, 0.25, 
##     -0.38, -0.36, -0.26, -0.1, 0.25, 0.07, -0.13, -0.28, -0.21, 
##     -0.15, -0.41, -0.62, -0.62, -0.61, -0.33, 0.08, 0.33, 0.28, 
##     -0.07, 0.02, -0.05, -0.02, 0.1, 0.15, 0.07, -0.28, 0.05, 
##     0.15, 0.26, -0.03, -0.05, -0.1, 0.44, 0.07, 0.41, 0.3, -0.05, 
##     0.03, -0.13, -0.34, -0.36, -0.23, 0.1, 0.11, -0.18, -0.07, 
##     0.08, 0.52, 0.44, 0.26, 0.03, -0.08, -0.31, 0.02, 0, 0.1, 
##     0.1, -0.1, -0.3, -0.54, -0.8, -0.95, -1.05, -0.9, -0.72, 
##     -0.64, -0.77, -0.8, -1.25, -0.84, -0.1, -0.08, -0.03, -0.31, 
##     -0.11, -0.1, 0.03, 0.11, 0.18, 0.3, 0.39, 0.26, 0.3, 0.38, 
##     0.34, 0.34, 0.49, 0.39, 0.11, 0.08, 0.1, 0.28, -0.31, 0.03, 
##     0.18, 0.2, 0.16, -0.18, -0.66, -0.52, -0.28, -0.15, -0.79, 
##     -2.02, -1.33, -0.51, -0.07, -0.31, -0.48, -0.21, -0.28, -0.43, 
##     -0.21, 0.03, 0.08, 0.28, 0.33, 0.44, 0.28, 0.44, 0.23, 0.33, 
##     0.39, -0.21, -0.18, -0.07, 0, -0.1, -0.39, -0.39, -0.34, 
##     -0.41, -0.97, -0.94, -0.44, -0.2, 0.05, 0.08, -0.05, 0.16, 
##     0.3, 0.28, 0.23, 0.2, 0.15, 0.2, -0.07, 0.18, 0.46, 0.59, 
##     0.13, 0.43, 0.61, 0.48, 0.07, 0.07, -0.15, -0.59, -0.92, 
##     -0.07, 0.03, -0.38, -1.21, -1.44, -1.31, 0.23, 0.36, 0.36, 
##     0.26, -0.16, 0.21, -0.18, -0.26, 0.25, 0.28, 0.3, 0.25, 0.48, 
##     0.52, 0.54, 0.44, 0.03, -0.23, -0.2, 0.26, 0.43, 0.54, 0.11, 
##     0.49, -0.1, -0.46, -0.56, 0.02, 0.08, 0.11, -0.23, -0.1, 
##     0.41, -0.2, -0.51, -0.75, -1.05, -1.8, -0.46, -0.1, 0.11, 
##     0.23, -0.61, -0.43, -0.13, -0.07, -0.18, -0.23, -0.26, -0.31, 
##     -0.38, -0.28, 0.02, 0.02, 0.03, 0.05, -0.02, -0.05, -0.02, 
##     0.07, 0.13, -0.41, 0.43, 0.43, 0.28, -0.34, -0.59, -1.56, 
##     0.05, -0.34, -0.52, -0.46, -0.18, -0.11, -0.61, -0.74, -0.69, 
##     -0.31, 0.3, 0.43, 0.52, -0.11, 0.36, 0.26, 0, -0.02, -0.03, 
##     0.07, 0.33, 0.39, -0.26, 0, 0.08, 0.28, 1.26, 1.23, 0.85, 
##     0.49, 0.08, -0.28, 0.16, 0.38, 0.39, -0.02, -0.31, -0.82, 
##     -0.92, -0.94, -0.75, -1.25, -1.21, -1.08, -0.26, 0, -0.28, 
##     -0.61, -0.85, -0.62, -0.26, 0.05, 0.08, 0.15, 0.16, 0.16, 
##     0.1, 0.08, 0.28, 0.46, 0.71, -0.1, 0.18, 0.64, 0.75, 0.89, 
##     0.1, 0.38, 0.44, 0.23, 0.08, 0.02, -0.41, -0.51, -0.43, 0, 
##     0.33, 0.51, 0.03, -1.57, -0.3, 0, 0.15, -0.54, -0.57, -0.57, 
##     -0.16, -0.07, -0.02, -0.16, -0.1, -0.03, -0.02, -0.1, -0.18, 
##     -0.13, -0.03, 0.11, 0.2, 0.1, 1.36, 1, 0.49, 1.08, 1.2, -0.23, 
##     0.08, 0.13, 0.05, -0.28, -0.3, 0, -0.3, -0.57, -0.69, -0.82, 
##     -0.51, -0.39, 0.44, -0.11, -0.62, -0.84, 0.98, -0.03, 0.05, 
##     -0.11, -0.15, -0.2, -0.21, -0.11, 0.3, 0.38, 0.16, 0.21, 
##     -0.28, -0.18, 0.92, 0.87, 0.59, 0.34, -0.28, -0.13, -0.15, 
##     -0.15, 0.08, -0.05, 0.11, 0.46, 0.69, 0.67, 0.64, 0.44, 0.31, 
##     0.31, 0.36, 0.48, 0.43, 0.44, 0.46, 0.28, 0.38, 0.46, 0.43, 
##     0.61, 0.75, 0.74, 0.97, 1.08, 1.25, 0.98, 1.08, 0.72, 0.64, 
##     0.59, 0.52, -0.43, -0.62, -0.74, -0.85, -0.41, -0.34, 0.46, 
##     0.56, 0.97, 0.9, 1.21, 1.3, 1.1, 0.94, 1, 1.57, 1.21, 1.07, 
##     0.79, -0.16, -0.79, -0.77, -0.75, -0.77, -0.36, 0.15, 0.39, 
##     0.54, 1.12, 1.23, 1.18, 1.18, 1.15, 0.87, 0.92, 0.92, 0.9, 
##     0.97, 1, 1, 0.84, 0.54, -0.11, -0.44, -0.41, -0.26, -0.57, 
##     -0.25, 0.05, 0.07, 0.13, 0.64, 0.77, 1.03, 0.97, 1.21, 1.12, 
##     0.97, 0.9, -0.03, -0.05, -0.13, -0.38, -0.72, -0.72, -0.69, 
##     -0.62, -0.57, -0.44, -0.07, -0.1, -0.02, -0.02, -0.07, 0.02, 
##     0.25, 0.89, 1.12, 1.87, 1.76, 1.71, 1.64, 0.94, -0.23, -0.43, 
##     -0.85, -0.79, -0.8, -0.75, -0.69, -0.67, -0.61, -0.64, -0.62, 
##     -0.16, 0.11, 0.46, 0.54, 0.67, 0.92, 1.12, 1.1, 1.08, 1.16, 
##     1.18, 1.03, 0.8, 0.71, 0.64, 0.72, 0.43, 0.31, -0.31, -0.57, 
##     -0.61, -0.51, -0.38, -0.34, -0.39, -0.51, -0.46, -0.08, -0.13, 
##     0.15, 0.71, 0.57, 0.2, 0.25, 0.43, 0.71, 0.75, 0.79, 0.92, 
##     1.03, 1.25, 1.39, 1.31, 1.07, 0.85, 0.82, 0.13, 0.07, -0.31, 
##     -0.48, -0.59, -0.61, -0.67, -0.64, -0.34, -0.33, -0.31, -0.15, 
##     -0.13, 0.23, 0.1, -0.03, 0.21, 0.38, 0.57, 0.52, 0.57, 0.59, 
##     0.62, 0.85, 0.77, 0.66, 0.64, 0.28, 0.11, 0.15, -0.26, -0.49, 
##     -0.49, -0.21, -0.34, -0.18, -0.25, -0.3, -0.26, -0.1, 0, 
##     0.28, 0.66, 0.87, 2.02, 2.41, 2.48, 2.41, 2.1, 1.99, 1.74, 
##     1.36, 0.61, 0.2, 0, -0.05, -0.1, 0.33, 0.38, 0.41, 0.21, 
##     0.2, 0.38, 0.38, 0.28, 0.26, 0.26, 0.3, 0.31, 0.3, 0.26, 
##     0.25, 0.21, 0.18, -0.54, -0.71, -0.69, -0.61, -0.39, -0.26, 
##     -0.16, -0.03, -0.02, -0.05, -0.08, 0.03, -0.05, -0.03, -0.03, 
##     0, -0.03, 0.05, 0.02, -0.02, 0.03, 0.1, -0.18, -0.15, 0.03, 
##     -0.02, 0, -0.07, 0.02, -0.02, 0.08, -0.23, 0.31, 0.34, -0.64, 
##     -0.8, -0.61, 0.15, -0.46, -0.34, 0.43, 0.11, 0.13, 0.62, 
##     0.74, 0.43, 0.44, -0.28, -0.23, -0.03, 0.28, 0.02, -0.13, 
##     -0.25, -0.59, -0.69, -0.52, -0.79, -1.03, -0.97, -0.89, -0.62, 
##     -0.25, 0.18, -0.03, 0.03, 0.07, 0.38, 0.85, 0.31, -0.39, 
##     -0.3, 0.46, -0.16, 0.26, -0.16, -0.64, -0.94, -0.79, -1, 
##     -0.46, 0.57, 0.15, 0.46, 0.85, 0.66, 0.66, 0.74, 0.39, 0.92, 
##     1.1, 0.97, 0.67, -0.87, -0.21, 0.72, 0.97, 0.74, 0.59, 0.59, 
##     0.52, 0.31, -0.18, -0.77, -0.77, -0.77, -0.79, -0.8, -0.2, 
##     0.15, -0.36, -0.36, 0.2, 0.36, 0.3, 1.02, 0.13, -0.15, 0.57, 
##     -0.08, 0.13, -0.23, -0.26, -0.21, -0.77, -0.94, -0.69, -0.28, 
##     0.16, 0.57, 0.8, 0.2, 0.31, 0.67, -0.16, 0.57, 1.13, 1, -0.21, 
##     -0.48, 0.57, 0.57, 0.1, -0.43, -0.38, -0.64, -0.64, -0.85, 
##     -1.05, -1.08, -0.39, -0.11, -0.15, -0.23, -0.23, -0.28, -0.28, 
##     -0.25, -0.18, -0.08, -0.16, 0.46, 0.13, -0.11, 0.1, 0.51, 
##     1.08, 0.36, 0.18, 0.33, -0.2, -0.36, -0.44, -0.41, -0.77, 
##     0.03, 0.39, 0.16, 0.41, 0.39, 0.89, 0.92, 1.2, 1.39, -0.1, 
##     -0.11, 0.16, 0.08, 0.87, 0.15, 0.05, 0.3, 0.62, 0.51, -0.2, 
##     -0.13, -0.16, -0.23, -0.61, -0.85, -0.92, -0.8, -0.51, -0.59, 
##     -0.15, -0.18, -0.38, 0.67, 0.79, 0.85, 0.52, 1.46, 1.25, 
##     0, 0.03, -0.05, 0.98, 1.44, 0.97, 0, 0.38, 0.44, 0.38, -0.16, 
##     -0.05, -0.2, -0.16, 0.07, -0.05, -0.05, -0.07, -0.05, 0, 
##     -0.03, -0.02, -0.03, -0.05, 0.05, 0.1, 0.02, 0.05, -0.02, 
##     -0.08, -0.08, -0.07, -0.1, -0.05, -0.03, -0.05, -0.07, -0.02, 
##     -0.08, -0.1, -0.16, 0.44, 0.49, 0.48, 0.39, 0.07, -0.28, 
##     -0.34, -0.18, 0.1, -0.08, 0.18, 0.67, 0.66, 0.61, 0.46, 0.41, 
##     0.46, 0.51, 0.56, 0.82, 1.23, 1.35, 1.36, 0.98, 0.61, 0.95, 
##     0.82, 0.79, 0.61, 0.61, 0.54, 0.69, 0.67, 0.64, 0.49, 0.51, 
##     0.54, 0.54, 0.49, 0.18, 0.13, 0.3, 0.1, -0.02, -0.1, -0.34, 
##     -0.38, -0.48, 0.39, 0.54, 0.69, 0.34, 0.56, 0.43, 0.44, 0.61, 
##     0.79, 0.8, 0.95, 1.23, 1.33, 1.2, 0.97, 0.72, 0.44, 0.33, 
##     0.72, 1.08, 1.03, 0.87, 0.67, 0.51, 0.64, 0.69, 0.66, 0.79, 
##     1.18, 1.15, 1, -0.36, 0.36, -0.08, 0.36, 0.61, 0.62, 0.64, 
##     0.61, 0.59, 0.98, 0.85, 0.92, 0.97, 0.94, 0.89, 0.74, 0.9, 
##     0.95, 1, 0.43, 0.38, 0.62, 0.64, 0.61, 0.51, 0.46, 0.46, 
##     0.21, 0.03, 0.2, 0.33, 0.31, 0.25, 0.11, 0.07, -0.3, -0.85, 
##     -0.84, -0.1, 0.07, 0.44, 0.21, 0.38, 0.64, 0.62, 0.57, 0.52, 
##     0.46, 0.48, 1.23, 1.39, 1.33, 1.2, 0.8, 1.2, 1.36, 1.21, 
##     0.57, 0.59, 0.64, 0.71, 0.72, 0.67, 0.33, 0.26, 0.28, 0.2, 
##     -0.18, -0.18, 1.03, 1.16, 1.35, 1.12, 0.95, 0.8, 1.25, 1.12, 
##     0.82, 0.69, 0.9, 1, 0.64, 0.52, 0.51, 0.56, 0.3, 0.38, 0.57, 
##     0.82, -0.33, -0.18, -0.51, 0.62, 0.52, 0.52, 0.59, 0.64, 
##     0.66, 0.66, 0.66, 0.64, 0.51, 0.48, 1.1, 1.44, 1.36, 1.3, 
##     1, 1.28, 2.21, 2.44, 2.43, 2.36, 1.87, 1.43, 0.62, 0.82, 
##     0.85, 0.74, 0.31, 0.28, 0.33, 0.36, 0.61, 0.23, 0.23, 0.46, 
##     0.59, 0.61, 0.52, 0.39, 0.36, 0.36, 0.46, 0.49, 0.54, 0.71, 
##     0.74, 0.74, 0.74, 0.75, 0.59, 0.49, 0.49, 0.54, 0.57, 0.51, 
##     0.64, 0.72, 0.75, 0.77, 0.79, 0.79, 0.72, 0.62, 0.51, 0.51, 
##     0.51, 0.2, 0.2, -0.11, -0.13, -0.15, -0.49, -0.59, -0.38, 
##     -0.95, -1.21, -1.16, -0.79, -0.71, -0.38, 0.11, 0.34, 0.36, 
##     0.54, 0.69, 0.77, 0.9, 0.98, 1.2, 1.39, 0.94, 2.1, 2.66, 
##     3.15, 0.92, -0.26, -0.71, -0.92, 1.48, 1.51, 1.48, 1.46, 
##     1.35, 1.3, 1.28, 1.56, 2, 1.16, 1.07, 0.51, 0.62, 0.69, 0.74, 
##     0.72, 0.64, 0.48, 0.46, 0.52, 0.71, 0.69, 0.66, 0.67, 0.74, 
##     0.71, 0.34, 0.05, 0.08, 0.11, 0.11, 0.02, -0.21, 0.03, 0.16, 
##     0.07, 0.52, 0.64, 0.67, 0.74, -0.44, -2, -2.18, 0.71, 1.03, 
##     1.26, 0.95, 1.15, 0.85, 1.39, 0.51, 0.39, 0.07, 0.31, 0.07, 
##     -0.1, -0.48, 0.23, 0.28, 0.25, 0.46, 0.39, 0.08, -0.25, -0.41, 
##     -0.44, -0.51, -0.56, -0.59, -0.62, -0.71, -1.13, -1.16, -1.23, 
##     -1.38, -1.53, -1.36, -1.08, 0.2, 0.13, 0.07, 0.16, 1.92, 
##     2.08, 0.31, 0.49, 0.71, 0.28, 0.34, 0.56, 0.48, -0.03, -0.49, 
##     -0.51, -0.34, -0.84, -0.95, -1.05, -1.13, -1.13, 0.84, 0.79, 
##     0.9, 0.94, 1.43, 1.72, 2.08, 1.51, 0.59, -0.49, -0.52, 0.28, 
##     0.64, 0.16, 0.07, 0.15, 1.2, 0.92, 0.69, 0.61, 0.48, 0.41, 
##     0.72, 0.87, 0.64, -0.1, -0.44, -0.31, -0.3, -0.43, 1.95, 
##     1.39, 0.15, -0.43, 0.16, 0.46, 0.52, 0.77, 0.59, 0.23, 0, 
##     -0.2, -0.21, -0.28, -0.31, -0.23, -0.02, 0.13, -0.02, -0.25, 
##     -0.54, -2.08, -2.02, -1.53, -0.02, 0.3, 0.36, 0.67, 1.05, 
##     1.59, 1.69, 1.61, 0.02, 0.85, 1.12, 1.57, 0.46, 0.41, 0.43, 
##     0.46, -0.38, -0.54, -0.54, -0.36, -0.44, -0.25, -0.11, 0.08, 
##     0.18, 0.13, 0, -0.2, -0.23, 0, 0.05, 0.08, -0.08, -0.11, 
##     -0.2, -0.15, -0.15, -0.11, -0.21, -0.21, -0.18, -0.13, -0.08, 
##     -0.05, -0.1, -0.05, 0.08, 0.1, 0.08, -0.05, -0.15, 0, 0.07, 
##     0.1, 0.05, 0.08, -0.05, -0.07, 0.05, 0.21, 0.21, 0.2, 0.1, 
##     0, 0.18, 0.28, 0.43, 0.8, -0.23, 1.1, 1.41, 0.38, 0.11, 0.26, 
##     0.49, 0.69, 0.75, 0.21, -1.18, -1.2, -1.08, -0.08, -0.25, 
##     -0.26, -0.25, -0.03, -0.02, -0.02, -0.03, -0.08, -0.08, -0.07, 
##     -0.05, -0.02, 0.03, -0.11, -0.08, -0.02, 0.79, 0.61, 0.39, 
##     0.26, 0.1, -0.11, -0.26, -0.95, -0.92, -0.97, -1.16, -0.97, 
##     -0.03, 0.26, -0.05, -0.33, -0.2, -0.43, -0.75, -0.87, -0.87, 
##     -0.79, -0.57, -0.66, -0.84, -1.28, -1.36, 0.34, -0.05, 0.38, 
##     1.13, 0.71, 0.8, -0.21, -0.08, -0.02, -0.21, 0.33, 0.33, 
##     0, -0.03, -0.03, -0.03, -0.03, -0.1, -0.25, -0.1, 0.31, 0.3, 
##     0.31, 0.31, 0.28, 0.28, 0.28, 0.3, 0.3, 0.31, 0.31, 0.31, 
##     0.3, 0.3, 0.72, 0.77, 1.03, 0.38, -0.62, -0.82, -0.67, -0.57, 
##     -0.66, -0.61, -0.3, -0.34, -0.3, -0.11, 0.1, 0.18, 0.16, 
##     -0.13, -0.3, -0.57, -0.56, -0.64, -0.64, -0.62, -0.64, -0.9, 
##     -0.67, -0.07, 1.13, -0.21, -0.67, -0.33, 0.05, -0.1, -0.57, 
##     0.3, 0.03, -0.11, -0.26, -0.36, -0.26, -0.64, -0.89, -1.12, 
##     -1.3, -0.94, -0.2, -0.25, -0.92, -0.79, -0.69, -0.69, -1.13, 
##     -1.3, -2.02, -1.43, -0.21, 0.77, 0.84, 1.3, 2.17, 1.69, -0.44, 
##     -0.57, -0.51, -0.28, -0.54, -0.85, -0.89, -0.94, -1.16, 0, 
##     -0.13, 0.67, 1.03, 1.15, 1.87, 1.39, -0.39, -0.13, -0.31, 
##     -0.41, -0.62, -1.76, 0.28, -0.3, -0.02, 0.33, 0.57, 1.54, 
##     1.16, 0.54, 0.75, 0.18, -0.11, 0.31, -0.03, -0.28, -0.3, 
##     -0.54, -0.62, -0.43, -0.38, 1.35, 0.94, 0.52, 0.38, 0.43, 
##     0.44, 0.21, -0.11, -0.84, -1.39, -1.33, -1.02, -0.74, -1.61, 
##     -0.84, -0.95, -1.13, -0.56, -0.11, 0.98, 1.07, 1.07, 0.84, 
##     1.21, 1.05, 1.23, 1.21, 1.56, 1.31, 1.12, 1.21, 0.41, 0.31, 
##     0.02, -0.21, -0.34, -0.71, -0.74, -0.85, -0.8, -0.79, -1.54, 
##     -0.49, -0.54, -0.38, -0.46, -0.57, -0.72, -0.72, -0.8, -1.05, 
##     -0.87, -1.03, -1.15, -1.16, -1.18, -0.92, -0.15, 0.64, 0.89, 
##     0.61, 0.49, 0.51, 0.64, 1.12, 2, 1.36, 1.1, 1.07, 1.26, 1.84, 
##     -0.59, -0.52, -0.48, -0.49, -0.61, -1.02, -0.38, -0.25, 0, 
##     0.05, 0.08), accel_forearm_x = c(196, 189, 193, 190, 193, 
##     191, 193, 192, 192, 192, 193, 194, 194, 191, 190, 192, 189, 
##     192, 196, 188, 191, 193, 194, 192, 193, 192, 192, 191, 194, 
##     193, 192, 190, 193, 190, 194, 192, 192, 187, 192, 193, 194, 
##     191, 193, 190, 195, 192, 193, 189, 192, 192, 189, 191, 190, 
##     194, 193, 191, 191, 191, 190, 192, 193, 192, 191, 194, 193, 
##     193, 195, 192, 192, 191, 196, 202, 193, 190, 196, 191, 192, 
##     199, 192, 192, 193, 189, 192, 194, 195, 194, 194, 192, 193, 
##     195, 191, 192, 193, 193, 194, 194, 194, 191, 191, 192, 195, 
##     151, 152, 146, 154, 157, 153, 153, 152, 148, 144, 152, 158, 
##     152, 153, 156, 149, 152, 154, 158, 152, 155, 154, 156, 160, 
##     148, 153, 156, 158, 158, 156, 153, 153, 150, 146, 155, 160, 
##     165, 157, 153, 166, 161, 155, 152, 150, 150, 151, 148, 141, 
##     140, 147, 149, 150, 157, 159, 173, 159, 159, 173, 177, 170, 
##     154, 148, 160, 143, 155, 162, 149, 146, 135, 130, 159, 170, 
##     159, 151, 159, 153, 149, 144, 146, 141, 136, 154, 137, 143, 
##     140, 144, 141, 142, 140, 146, 147, 142, 150, 144, 150, 140, 
##     139, 148, 143, 131, 150, 144, 148, 147, 142, 143, 136, 128, 
##     126, 129, 126, 145, 151, 137, 143, 146, 142, 141, 145, 136, 
##     144, 142, 143, 138, 141, 141, 139, 138, 146, -145, -150, 
##     -197, -231, -207, -162, -148, -199, -197, -195, -196, -152, 
##     -86, -122, -38, -2, 18, 124, 138, 95, 104, 98, 93, 100, 90, 
##     73, 56, 43, 40, 7, 2, -39, -66, -68, -141, -153, -176, -168, 
##     -152, -166, -156, -142, -197, -219, -232, -213, -43, 35, 
##     13, 33, 18, 118, 135, 103, 138, 125, 109, 118, 90, 106, 84, 
##     79, 59, 52, 24, 13, -40, -89, -133, -148, -15, -6, 49, 41, 
##     88, 73, 89, 82, 101, 106, 116, 114, 112, 100, 88, 77, 44, 
##     62, 11, -42, -67, -61, -77, -157, -163, -165, -176, -121, 
##     -142, -160, -171, -188, -189, -216, -194, -202, -185, -163, 
##     -101, -110, -59, -57, -17, -10, 21, 8, 37, 84, 60, 62, 95, 
##     106, 116, 103, 105, 82, 85, 37, -63, -119, -162, -164, -139, 
##     -143, -132, -118, 88, 91, 86, 67, 55, 19, 33, -73, -91, -102, 
##     -151, -173, -180, -200, -197, -189, -147, -105, -143, 91, 
##     67, 89, 75, 42, 38, -16, -134, -126, -140, -155, -143, -96, 
##     -178, -210, -191, -152, -130, -208, -160, -173, -179, -177, 
##     -109, -69, -30, -92, 14, 51, 78, 74, 89, 75, 92, 93, 78, 
##     58, 60, 68, 77, 83, 84, 76, 71, 72, 84, 78, 71, 66, 75, 89, 
##     88, 74, 67, 53, 60, 94, 95, 74, 70, 69, 82, 64, 72, 78, 72, 
##     71, 67, 75, 76, 79, 76, 73, 77, 74, 77, 72, 62, 76, 74, 70, 
##     72, 69, 69, 74, 75, 76, 74, 61, 82, 73, 77, 71, 78, 77, 79, 
##     74, 68, 80, 66, 64, 78, 85, 67, 71, 78, 72, 71, 73, 77, 77, 
##     78, 80, 73, 69, 66, 66, 77, 69, 69, 74, 72, 62, 76, 65, 74, 
##     70, 68, 72, 60, 61, 70, 70, 70, 73, 75, 76, 75, 74, 72, 74, 
##     76, 75, 79, 81, 75, 73, 75, 75, 72, 74, 80, 74, 79, 76, 67, 
##     86, 89, 92, 83, 61, 62, 69, 75, 75, 61, -280, -224, -178, 
##     -89, -55, -101, -110, -65, -81, -106, -111, -91, -167, 76, 
##     71, 72, 73, 72, 75, 227, 213, -36, -59, 18, -10, -23, 75, 
##     20, 25, -64, -42, -12, -13, -52, -41, -38, -45, 32, 71, 156, 
##     102, 43, 32, 44, 90, 94, 100, -44, -44, -18, -9, -52, -43, 
##     -43, -25, -64, 78, -19, -16, -1, -29, -33, 5, -11, -47, -24, 
##     37, -1, -20, -14, -26, -6, -11, -19, -36, -19, -36, -21, 
##     -23, 1, -9, -44, -27, -13, -34, -16, -16, -14, -30, -41, 
##     -65, -40, -26, -42, 6, 4, -6, -21, -32, -22, 7, -2, -24, 
##     -30, -30, -24, -26, -22, -33, -30, -33, -40, -25, -27, -27, 
##     -9, -61, -37, -22, -44, -33, -26, -67, -69, -86, -70, -56, 
##     -27, -34, -37, -23, 0, -6, 0, -11, 4, 19, 20, 23, 13, 16, 
##     17, 5, 12, 1, -8, -7, 1, -8, -2, 5, 10, 30, 15, 10, 14, 21, 
##     -3, 4, -7, -11, 2, -77, -73, -89, -166, -166, -167, -188, 
##     -208, -216, -343, -353, -367, -315, -363, -325, -326, -318, 
##     -294, -253, -226, -250, -243, -175, -183, -202, -169, -57, 
##     -88, -56, -39, -14, -6, -10, -11, -10, 9, -8, 20, 17, -2, 
##     -2, 0, -2, -43, -41, -59, -112, -146, -250, -265, -293, -316, 
##     -364, -379, -380, -262, -183, -131, -142, -117, -82, -75, 
##     -75, -79, -65, -1, -24, -29, -28, -22, -8, -2, -5, 1, 11, 
##     -22, -151, -182, -205, -272, -304, -377, -384, -383, -394, 
##     -386, -396, -407, -398, -410, -392, -380, -365, -341, -354, 
##     -319, -324, -328, -328, -275, -262, -248, -66, -68, -101, 
##     -152, -70, -31, -47, -34, -18, -14, -16, -18, -17, 0, 1, 
##     -1, -5, 8, 13, -5, 7, -30, -26, -55, -63, -33, -69, -95, 
##     -115, -169, -294, -308, -291, -300, -353, -397, -388, -379, 
##     -388, -378, -391, -347, -329, -285, -277, -201, -175, -114, 
##     -131, -154, -159, -108, -108, -36, -26, 5, -5, 16, 2, -53, 
##     -47, -41, -60, -74, -80, -184, -263, -289, -352, -375, -181, 
##     -153, -117, -93, -61, -69, -41, -17, -11, -11, -16, -14, 
##     -1, 21, 6, -35, -59, -113, -137, -164, -176, -169, -210, 
##     -198, -227, -294, -316, -369, -360, -355, -384, -382, -376, 
##     -398, -383, -378, -405, -392, -397, -390, -362, -346, -352, 
##     -329, -318, -287, -294, -247, -212, -240, -200, -157, -162, 
##     -150, -140, -144, -153, -128, -87, -54, -378, -374, -392, 
##     -388, -391, -394, -390, -385, -381, -386, -389, -389, -391, 
##     -386, -368, -377, -363, -358, -351, -340, -333, -347, -330, 
##     -62, -59, -58, -61, -59, -57, -57, -59, -60, -58, -54, -54, 
##     -61, -56, -57, -57, -57, -57, -55, -57, -57, -55, -55, -54, 
##     -58, -56, -57, -57, -57, -54, -55, -55, -57, -56, -57, -57, 
##     -54, -58, -58, -57, -56, -59, -59, -55, -56, -56, -56, -58, 
##     -60, -64, -66, -64, -58, -61, -59, -66, -63, -66, -76, -78, 
##     -75, -75, -72, -71, -72, -73, -74, -73, -70, -40, -34, 4, 
##     23, 136, 160, 181, 191, 193, 120, 124, 102, 83, 89, 100, 
##     103, 187, 205, 203, 206, 201, 203, 222, 191, 219, 185, 128, 
##     94, 108, 71, 57, 48, 2, 10, 5, 4, 0, -34, -46, -41, -56, 
##     -65, -69, -62, -37, -27, -30, 25, 29, 58, 126, 118, 159, 
##     203, 209, 198, 196, 193, 176, 159, 152, 132, 98, 72, 37, 
##     -57, -49, -65, -66, -66, -66, -44, -34, -23, 4, 15, 52, 60, 
##     101, 124, 166, 197, 191, 184, 167, 85, 65, 107, 116, 140, 
##     150, 142, 127, 143, 139, 213, 195, 156, 168, 147, -85, -79, 
##     -74, -70, -9, 8, 13, 24, 92, 101, 132, 204, 187, 181, 174, 
##     102, 68, 60, 71, 93, 128, 133, 156, 175, 174, 198, 68, 19, 
##     31, 11, 7, -24, 209, 184, 204, 98, 96, 101, 47, -16, -15, 
##     -54, -46, -86, -92, -95, -97, -66, 76, 92, 147, 175, 180, 
##     181, 170, 158, 66, 64, 41, 51, 62, 97, 116, 132, 149, 179, 
##     153, 137, 99, 39, 38, 40, 12, 12, 10, 3, -43, -58, -56, -78, 
##     -84, -99, -88, -96, -98, -101, -99, -93, -89, -55, -48, 5, 
##     7, 45, 64, 79, 88, 132, 190, 198, 156, 135, 59, 37, 8, 22, 
##     100, 132, 148, 143, 193, 184, 196, 213, -73, -74, -64, -64, 
##     6, 54, 124, 149, 167, 189, 196, 183, 173, 154, 142, 102, 
##     76, 5, -31, 131, 141, 178, 196, 53, 54, -71, -77, -76, -69, 
##     -78, -76, -64, -52, -42, -33, -38, -33, -32, -13, 65, 155, 
##     161, 170, 200, 211, 203, 221, 165, 108, 43, -17, 38, 108, 
##     167, 142, 177, 181, 63, 2, -75, -95, -143, -143, -127, -118, 
##     -119, -128, -122, -96, -127, -24, -16, -8, 73, 68, 71, 64, 
##     72, 118, 157, 163, 168, 170, 154, 132, 137, 100, 39, 17, 
##     21, 178, 185, 212, 242, 251, 202, 253, 255, 232, 217, 229, 
##     247, 238, 225, 246, 237, 223, 226, 226, 227, 236, 233, 231, 
##     231, 234, 239, 234, 235, 227, 229, 232, 230, 232, 232, 232, 
##     231, 234, 233, 236, 235, 234, 234, 231, 227, 240, 224, 231, 
##     232, 234, 236, 238, 233, 232, 234, 235, 233, 230, 236, 234, 
##     231, 237, 232, 228, 233, 232, 233, 231, 233, 235, 233, 236, 
##     231, 231, 232, 233, 235, 233, 236, 235, 235, 233, 228, 230, 
##     237, 234, 235, 233, 237, 236, 236, 231, 229, 232, 227, 225, 
##     231, 234, 229, 233, 233, 233, 232, 234, 231, 235, 231, 232, 
##     230, 234, 229, 231, 231, 234, 231, 231, 229, 231, 230, 236, 
##     234, 235, 222, 228, 231, 237, 235, 233, 234, 236, 235, 236, 
##     230, 222, 228, 238, 239, 229, 229, 230, 231, 226, 234, 244, 
##     223, 226, 229, 228, 234, 233, 226, 225, 250, 231, 213, 234, 
##     253, 239, 230, 231, 233, 237, 228, 227, 228, 228, 228, 226, 
##     228, 232, 233, 234, 228, 225, 235, 232, 224, 234, 229, 226, 
##     232, 224, 222, 224, 217, 222, 235, 231, 227, 234, 232, 236, 
##     229, 230, 223, 228, 223, 231, 248, 239, 226, 221, 225, 229, 
##     230, 226, 223, 222, 222, 226, 227, 222, 226, 194, 196, 189, 
##     196, 192, 194, 195, 193, 192, 192, 193, 194, 194, 195, 189, 
##     193, 193, 194, 192, 194, 197, 193, 195, 196, 195, 195, 196, 
##     196, 196, 195, 194, 192, 196, 197, 194, 192, 196, 195, 196, 
##     192, 195, 194, 194, 195, 195, 192, 195, 195, 193, 195, 195, 
##     191, 192, 192, 193, 193, 192, 192, 192, 193, 196, 194, 195, 
##     194, 194, 192, 192, 195, 192, 195, 195, 196, 196, 192, 191, 
##     187, 194, 194, 195, 195, 193, 195, 194, 192, 192, 192, 191, 
##     190, 193, 189, 190, 190, 191, 190, 189, 188, 188, 191, 188, 
##     191, 188, 186, 188, 187, 188, 189, 186, 190, 185, 182, 190, 
##     184, 185, 184, 184, 183, 187, 184, 181, 180, 163, 152, 122, 
##     107, 95, 97, 78, 76, 51, 13, -1, -7, -18, -58, -92, -152, 
##     -160, -186, -193, -176, -184, -180, -193, -149, -137, -124, 
##     -134, -145, -167, -181, -178, -186, -184, -186, -196, -225, 
##     -234, -184, -175, -169, -69, 15, 31, 73, 78, 128, 135, 144, 
##     164, 158, 161, 140, 141, 138, 94, 97, 92, 33, 25, 14, -11, 
##     -60, -146, -145, -171, -196, -178, -119, -118, -101, -204, 
##     -202, -208, -207, -197, -211, -203, -199, -158, -135, -123, 
##     -113, -2, 5, 19, 132, 115, 67, 69, 92, 76, -11, -68, -87, 
##     -164, -195, -166, -116, -131, -140, -120, -164, -176, -151, 
##     -159, -147, -183, -144, -152, -86, -20, 0, 54, 146, 171, 
##     101, 102, 118, 97, 100, 85, 42, -20, -64, -96, -142, -148, 
##     -184, -164, -172, -155, -151, -136, -150, -197, -175, -187, 
##     -161, -102, -32, -148, -85, -75, -163, -172, -152, -171, 
##     -135, -147, -139, -46, -35, -74, -34, -22, 110, 99, 119, 
##     176, 147, 128, 137, 146, 136, 135, 140, 64, 28, 16, -111, 
##     -176, -181, -195, -151, -155, -153, -196, -73, -62, -58, 
##     -144, -156, -184, -183, -162, -144, -176, -138, -135, -124, 
##     -57, 31, 78, 113, 126, 146, 169, 161, 171, 107, 88, 129, 
##     47, 31, 38, -51, -41, -61, -138, -172, -169, -165, -63, -54, 
##     -57, -97, -182, -174, -174, -162, -161, -94, -128, -70, -67, 
##     -36, -12, -9, 41, 54, 47, 43, 67, 128, 125, 127, 99, 91, 
##     106, 94, 98, 114, -48, -114, -131, -231, -196, -175, -130, 
##     -55, -98, -143, -179, -193, -174, 229, 229, 228, 224, 227, 
##     227, 227, 222, 222, 223, 225, 230, 227, 217, 222, 234, 236, 
##     224, 218, 214, 224, 231, 235, 219, 224, 232, 241, 237, 229, 
##     216, 218, 227, 238, 238, 237, 228, 238, 225, 232, 228, 230, 
##     230, 230, 227, 229, 231, 228, 229, 231, 227, 227, 230, 229, 
##     230, 230, 230, 230, 232, 225, 228, 228, 227, 227, 229, 228, 
##     228, 224, 221, 220, 233, 231, 226, 229, 227, 225, 231, 228, 
##     229, 227, 228, 229, 228, 230, 230, 228, 226, 228, 228, 228, 
##     227, 224, 233, 229, 228, 230, 232, 230, 228, 221, 225, 235, 
##     232, 230, 232, 233, 228, 227, 233, 232, 227, 225, 222, 224, 
##     230, 241, 244, 234, 221, 232, 225, 223, 227, 233, 247, 238, 
##     225, 246, 218, 224, 241, 238, 226, 218, 231, 223, 225, 228, 
##     230, 229, 232, 228, 230, 229, 238, 226, 225, 249, 247, 224, 
##     208, 223, 237, 231, 224, 229, 228, 229, 226, 227, 224, 225, 
##     225, 223, 226, 232, 226, 231, 229, 230, 223, 229, 235, 229, 
##     227, 228, 231, 233, 230, 230, 230, 226, 228, 231, 232, 227, 
##     238, 236, 222, 232, 225, 223, 247, 217, 219, 251, 278, 250, 
##     254, 274, 280, 211, 166, 67, -41, -45, -43, -157, -117, -257, 
##     -259, -237, -200, -199, -187, -129, -97, -38, 154, -14, 174, 
##     143, 63, 168, 195, 216, 235, 253, 197, 204, 206, 201, 219, 
##     239, 231, 118, 103, -47, -53, -102, -122, -127, -139, -173, 
##     -165, -180, -219, -216, -234, -209, -147, -173, -92, -86, 
##     173, -51, 123, 95, 90, 225, 184, 187, 174, 204, 218, 240, 
##     237, 201, 176, 116, -11, -155, -158, -162, -191, -194, -160, 
##     -167, -15, 43, 121, 83, 178, 206, 244, 229, 249, 199, 179, 
##     201, 192, 194, 145, 13, -92, -93, -159, -259, -163, -174, 
##     -201, -216, -182, -191, -185, -134, -144, -140, -75, 106, 
##     -96, 94, 283, 200, 217, 193, 212, 185, 134, 122, -5, -233, 
##     -169, -208, -215, -140, 70, 87, 161, 162, 253, 182, 179, 
##     169, 195, 197, 188, 200, 99, 98, -3, -26, -65, -142, -181, 
##     -193, -243, -206, -176, -236, -186, -223, -3, 229, 11, 137, 
##     203, 262, 257, 239, 216, 153, 194, 200, 206, 216, 187, 112, 
##     90, 45, 23, -24, -55, -55, -54, -133, -182, -199, -222, -206, 
##     -198, -106, -137, 49, 65, 211, 214, 194, 174, 194, 217, 211, 
##     216, 108, 121, 108, 126, 24, -58, -71, -123, -138, -233, 
##     -232, -187, -190, -192, -213, -195, -59, 25, -94, 59, 95, 
##     160, 235, 244, 257, 236, 231, 189, 188, 198, 230, 228, 211, 
##     232, 100, 45, 8, -17, -88, -131, -122, -232, -143, -188, 
##     -184, -165, -178, -99, -14, -52, 4, 53, 78, 169, 267, 215, 
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##     -245, -251, -227, -137, -18, -130, -70, 44, -42, -48, -37, 
##     -40, -48, -52, -54, -53, -51, -51, -52, -54, -51, -52, -52, 
##     -49, -50, -52, -53, -53, -53, -53, -53, -50, -55, -72, -72, 
##     -74, -166, -168, -208, -282, -288, -288, -329, -356, -371, 
##     -40, -8, -43, -58, -47, -5, -9, -1, -15, -10, -17, -17, -53, 
##     -51, -60, -395, -382, -395, -395, -375, -351, -318, -308, 
##     -317, -289, -389, -390, -381, -395, -379, -378, -369, -370, 
##     -347, -332, -297, -326, -322, -325, -361, -353, -356, -369, 
##     -376, -375, -382, -378, -371, -377, 30, -13, 11, 10, 16, 
##     14, 17, 9, 7, 14, 8, 3, -1, 24, 28, 24, 28, 31, 27, -8, -12, 
##     27, 23, 18, 13, 5, -8, 7, -7, -1, -13, -4, -2, -3, 2, 12, 
##     8, 6, 4, 5, 5, 3, 5, 6, 4, 5, 3, 5, 4, 4, 5, 5, 4, 3, 4, 
##     5, 5, 8, 5, 1, 2, 3, 3, 2, 1, 3, 4, 11, 5, 5, 6, 6, 6, 4, 
##     2, -3, -3, 1, -1, 1, 5, 5, 5, 5, 5, 4, 4, 7, 3, 4, 2, 1, 
##     3, 5, 0, -4, -2, -1, -4, 1, 7, 11, 12, 12, 12, 13, 10, 11, 
##     10, 11, 1, -1, 0, 3, 8, 8, 7, 4, -5, 11, 1, 3, 11, 8, 12, 
##     9, 4, 7, 10, 12, 8, 7, 9, 9, 8, 9, 6, 7, 4, 3, 3, 9, -18, 
##     -37, -110, -112, -229, -226, -201, -218, -227, -227, -190, 
##     -177, -180, -183, -196, -196, -186, -178, -170, -201, -200, 
##     -185, -181, -172, -178, -189, -189, -185, -191, -193, -193, 
##     -191, -194, -192, -193, -192, -192, -191, -195, -195, -192, 
##     -185, -172, -174, -184, -181, -188, -191, -210, -215, -222, 
##     -224, -225, -221, -200, -186, -180, -181, -175, -146, -129, 
##     -74, -88, 3, -1, -3, -2, -33, -46, -66, -66, 55, 38, 18, 
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##     -51, -61, -22, -119, -129, -210, -190, -225, -279, -319, 
##     -327, -378, -360, -363, -399, -386, -441, -472, -424, -434, 
##     -449, -460, -438, -392, -393, -382, -394, -329, -304, -266, 
##     -181, -59, -67, -76, -77, -84, -109, -127, -167, -210, -306, 
##     -301, -370, -378, -376, -378, -401, -421, -441, -441, -453, 
##     -464, -424, -432, -422, -472, -498, -390, -393, -477, -306, 
##     -248, -262, -451, -363, -366, -376, -387, -401, -431, -409, 
##     -417, -417, -431, -374, -412, -326, -333, -331, -193, -203, 
##     -159, -155, -320, -313, -360, -398, -427, -420, -422, -457, 
##     -444, -455, -402, -425, -418, -391, -394, -371, -351, -298, 
##     -267, -243, -183, -216, -151, -117, -94, -73, -75, -69, -76, 
##     -87, -109, -158, -204, -225, -269, -276, -325, -332, -362, 
##     -452, -456, -457, -445, -449, -434, -434, -414, -385, -261, 
##     -193, -123, -62, -61, -23, -24, -27, -32, -44, -55, -74, 
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##     -318, -388, -424, -455, -433, -449, -453, -423, -421, -392, 
##     -312, -256, -251, -276, -234, -249, -165, -197, -202, -88, 
##     -68, -62, -54, -33, -20, 13, -19, -75, -67, -50, -43, -18, 
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##     -317, -356, -416, -415, -436, -464, -469, -422, -415, -423, 
##     -437, -443, -462, -463, -464, -437, -440, -424, -424, -366, 
##     -369, -362, -281, -344, -275, -326, -231, -242, -88, -88, 
##     -297, -359, -440, -443, -455, -433, -442, -450, -447, -441, 
##     -434, -440, -445, -445, -440, -427, -414, -379, -364, -376, 
##     -362, -391, -314, -307, -305, -314, -336, -325, -325, -283, 
##     -242, -231, -261, -205, -211, -183, -138, -108, -112, -106, 
##     -47, -58, -47, -57, -39, -51, -44, -45, -48, -58, -93, -133, 
##     -160, -276, -291, -302, -353, -361, -343, -379, -388, -403, 
##     -383, -386, -389, -396, -394, -400, -398, -394, -386, -384, 
##     -369, -367, -371, -351, -356, -346, -352, -319, -354, -321, 
##     -273, -175, -149, -142, -141, -98, -86, -71, -60, -55, -50, 
##     -42, -26, -58, -56, -37, -40, -30, -55, -71, -83, -56, -61, 
##     -72, -73, -35, -65, -116, -124, -126, -126, -137, -155, -196, 
##     -233, -237, -276, -274, -298, -304, -45, -8, -17, -13, -33, 
##     -17, -8, -2, -21, -12, -14, -11, -178, -181, -181, -175, 
##     -174, -182, -173, -169, -169, -169, -167, -161, -164, -164, 
##     6, 11, 6, -1, 16, 18, 25, 17, 18, 10, 12, 6, 5, 4, 5, 3, 
##     5, 11, 0, -1, -1, 4, 8, 2, 222, 229, 223, 227, 229, 227, 
##     232, 227, 227, 227, 231, 229, 224, 224, 234, 235, 230, 221, 
##     229, 224, 234, 239, 243, 223, 235, 231, 202, 273, 311, 276, 
##     214, 193, 221, 232, 241, 244, 188, 197, 180, 188, 30, -93, 
##     -64, 169, 201, 186, 212, 167, 111, 93, 44, 46, 99, 134, 166, 
##     183, -57, -78, -74, -74, -74, -78, -78, -83, -84, -73, -73, 
##     -66, -47, 26, 34, 35, 21, -63, -51, -5, -15, -36, -61, -83, 
##     -79, -92, -71, -94, -98, -85, -78, 149, 165, 206, 216, 194, 
##     201, 200, 171, 192, 136, 112, 88, 89, -52, -55, -57, -55, 
##     -56, -55, -58, -57, -57, -56, -56, -58, -56, -55, -57, -54, 
##     -56, -58, -59, -57, -55, -55, -72, -60, -73, -19, -393, -46, 
##     -39, -4, -33, -55, -43, -42, -45, -50, -30, -35, -55, -60, 
##     -56, -57, -58, -56, -56, -57, -68, -64, -54, -62, -51, -39, 
##     -37, -25, -14, -25, -64, -65, -65, -62, -54, -62, -64, -58, 
##     -54, -59, -57, -59, -57, -44, 5, 2, 30, 34, 113, 110, 106, 
##     108, 67, 54, -41, -77, -53, -156, -194, -175, -169, -138, 
##     -135, -147, -76, -78, -2, 89, -199, -212, -126, -91, -57, 
##     16, 2, 77, 97, -181, -188, -207, -211, -159, -216, -111, 
##     -124, 136, 139, 136, 135, 123, 117, 121, 81, 15, 12, -40, 
##     -60, -80, 147, 150, 62, 113, 88, 104, 108, 87, 15, 11, -15, 
##     -30, -46, -88, -148, -167, -180, -183, 108, 101, 74, 89, 
##     42, 44, -3, -68, -74, -90, -99, -135, -132, -182, -100, -107, 
##     -128, -148, -182, -188, -42, -86, -20, -38, 33, 75, 81, 63, 
##     80, 103, 91, 96, 87, 75, 15, -29, -20, -100, -100, -145, 
##     -158, -170, -150, -76, -104, -125, -123, -147, 100, 96, 114, 
##     127, 126, 137, 133, 132, 134, 133, 132, 136, 137, 147, 133, 
##     134, 133, 144, 106, 95, 95, 92, 72, 72, 23, 12, -9, -33, 
##     -81, -154, -123, -137, -166, -126, -81, -23, -60, -96, -121, 
##     -93, -84, -76, -75, 8, 17, 149, 140, 99, 80, 93, 95, 88, 
##     86, 97, 90, 61, -144, -127, -10, -76, -87, -96, -99, -97, 
##     -128, -107, -2, -19, -11, 74, 124, 124, 99, 95, 81, 48, -4, 
##     -60, -102, -119, 62, 42, 5, -50, -124, -128, -129, -79, -97, 
##     -118, -84, 0, -114, -138, 3, 14, -11, -13, -46, -20, -51, 
##     24, -19, 90, 70, 45, 68, 100, 86, 83, 111, 37, 33, 22, 1, 
##     -38, -74, -93, -88, -90, -17, 0, -7, -80, -87, -61, -24, 
##     -6, -58, 135, 87, 105, 134, 123, 115, 113, 108, 96, 96, 52, 
##     27, -48, -73, -91, 16, -58, 116, -52, -24, -62, -35, -9, 
##     13, -26, 53, -15, -52, -71, -100, -115, -71, -77, -39, 2, 
##     -32, 11, 47, 61, 146, 170, 196, 147, 99, 130, 115, 109, 89, 
##     99, 84, -42, -57, -79, -63, -59, -54, 4, -21, 71, 50, 45, 
##     -20, -52, -29, -22, -41, 37, -11, 2, 42, 31, -138, -49, -99, 
##     -75, -62, -54, -85, -91, -89, -90, -85, -80, -66, -46, -38, 
##     -38, -16, 7, 41, 74, 88, 106, 147, 158, 176, 266, 258, 231, 
##     221, 200, 164, 92, 34, 3, -20, -75, -85, -244, -237, -174, 
##     -40, -32, 0, 39, 45, 134, 172, 212, 166, 196, 182, 187, 190, 
##     171, 125, 70, 3, -28, -54, -91, -83, -101, -89, -69, -77, 
##     -75, -67, -53, -12, 3, 79, 113, 110, 207, 236, 225, 225, 
##     193, 128, 109, 88, 16, 1, -6, -66, -97, -128, -36, -48, -69, 
##     -76, -83, -100, -89, -86, -78, -62, -31, 17, 50, 123, 137, 
##     167, 176, 190, 185, 190, 157, 96, 61, 54, 21, 15, -4, -32, 
##     -274, -195, -135, -44, 22, 79, 132, 146, 189, 202, 91, 89, 
##     81, 63, 54, 34, -51, -64, -69, -63, -83, 86, 72, -36, -68, 
##     -136, -177, -315, -212, -175, -161, -127, -106, -78, 47, 
##     80, 193, 187, 127, 96, 81, -13, -24, -41, -59, -66, -64, 
##     -42, -46, -35, -81, -61, -61, -63, -25, -28, 36, 201, 203, 
##     200, 180, 176, 159, 132, 92, 61, 23, -138, -202, -298, -133, 
##     -74, -66, -47, 148, 173, 209, 197, 148, 105, 84, 71, 13, 
##     8, -12, -54, -68, -67, -57, -49, -47, -49, -48, -22, 19, 
##     180, 186, 24, -69, -99, -185, -164, -168, -101, -45, -22, 
##     -4, 81, 224, 192, 194, 146, 94, 53, 2, -72, -88, -47, -51, 
##     -112, -78, -66, -15, 9, 24, 64, 77, 145, 162, 178, 169, 123, 
##     83, -1, -70, -66, -57, -45, -42, -44, -55, -53, 109, 198, 
##     181, 157, 135, 11, -42, -90, -102, -330, -301, -276, -122, 
##     -41, 13, 89, 113, 194, 173, 189, 173, 129, -156, -184, -47, 
##     -47, -53, -9, -16, 43, 30, 62, 78, 120, 116, 98, 93, 98, 
##     109, 116, 84, 13, 11, 8, 10, -75, -85, -116, -147, -159, 
##     -181, -195, -176, -80, -178, -150, -157, -73, -17, -44, -54, 
##     -7, 62, 58, 75, 135, 109, 148, 130, 87, 80, 75, 97, 111, 
##     -20, -24, -51, -212, -165, -119, -79, -148, -162, -176, -170, 
##     -180, -157, -188, -166, -145, -136, -128, -59, -91, -19, 
##     -46, 132, 139, 137, 135, 131, 140, 140, 136, 136, 136, 140, 
##     148, 136, 142, 140, 138, 140, 144, 144, 142, 136, 137, 133, 
##     131, 132, 132, 131, 48, -56, -55, -77, -112, -136, -128, 
##     -150, -147, -139, -147, -101, 13, 54, 56, 46, 78, 82, 59, 
##     51, 26, 28, 21, -66, -124, -133, -96, -52, 85, 117, 156, 
##     -13, -42, -20, -28, -99, -166, -129, -157, -141, -111, -106, 
##     -70, -72, 8, -20, 54, 55, 36, 41, 28, 37, 52, -15, -78, -85, 
##     -131, -150, -167, -135, 4, 42, 43, 44, -14, 5, 5, -6, -9, 
##     -93, -108, -115, -97, -132, -152, -94, -37, -41, -41, 103, 
##     79, 16, -41, -80, -88, 15, -77, -70, -74, -92, -109, -156, 
##     -113, -73, -34, -45, -59, -112, -149, -162, -171, -133, -5, 
##     5, 56, 70, 84, 101, 27, 51, -94, -111, -130, -141, -126, 
##     -83, 34, 51, 40, 28, 19, 35, 26, -51, -69, -132, -129, -139, 
##     -127, -116, -88, -82, -54, -18, 35, 58, 67, 41, 30, 21, -3, 
##     -5, -17, -54, -54, -123, -117, -121, -121, -84, -78, -37, 
##     58, 58, 34, -21, -32, -42, -109, -115, -157, -186, -86, -38, 
##     21, -4, 19, 114, 88, 76, 70, 44, 76, 96, 30, 9, -66, -92, 
##     136, 228, 203, 194, 192, 193, 185, 198, 208, 179, 199, 188, 
##     213, 189, 197, 192, 184, 189, 188, 194, 187, 188, 193, 178, 
##     164, 142, 132, 13, 26, -2, -63, -54, -132, -98, -106, -76, 
##     9, 1, 72, 94, 168, 303, 286, 151, 271, 133, 62, -48, -41, 
##     -67, -47, -92, -68, -91, -84, -64, 195, 111, -48, -67, -42, 
##     -69, -49, -83, -68, -86, -88, -71, -96, -93, -71, 31, 210, 
##     250, 182, 162, 162, 124, 187, 209, 186, 162, 150, -72, -82, 
##     -54, -92, -86, -56, -39, -45, -74, -53, -77, 21, 170, 206, 
##     218, 166, 117, 157, 164, 95, 106, 93, 28, -21, -100, -32, 
##     -93, -84, -71, -49, 9, -51, 71, 143, 222, 132, 141, 176, 
##     168, 228, 160, 163, 159, 125, 150, 167, 212, 230, 222, 173, 
##     30, 9, 12, -52, -10, -28, 21, 191, 310, 309, 184, 125, 118, 
##     139, 130, 128, 159, 210, -11, -38, -47, -10, -27, 11, -29, 
##     -57, -65, -88, -51, -24, -52, -46, 88, 169, 206, 202, 211, 
##     238, 176, 141, 142, 154, 224, 181, 222, 56, -28, -10, -59, 
##     -39, -55, -50, -9, -168, 32, 477, 271, 265, 289, 232, 250, 
##     146, 22, -11, -36, -57, 29, 158, 203, 179, 183, 197, 198, 
##     195, 163, 214, 191, 194, -382, -381, -390, -401, -391, -394, 
##     -389, -336, -338, -313, -293, -252, -16, -10, -10, 0, -4, 
##     -2, -4, 0, 3, 12, 13, 15, 17, 8, 13, 8, 15, 7, 16, 20, 26, 
##     30, 29, 31, 34, 32, 51, 33, 24, 32, 43, 35, 45, 19, 23, 18, 
##     21, 21, 33, 29, 2, -75, -64, -92, -89, -259, -262, -284, 
##     -294, -307, -264, -283, -265, -277, -266, -273, -266, -276, 
##     -308, -259, -257, -211, -84, -126, -86, -89, -66, -60, -61, 
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##     -287, -273, -282, -283, -293, -291, -285, -275, -278, -282, 
##     -279, -265, -277, -264, -284, -9, -61, -102, -136, -183, 
##     -203, -282, -290, -292, -284, -281, -294, -292, -288, -308, 
##     -291, -305, -281, -278, -263, -270, -266, -266, -273, -262, 
##     -278, -276, -269, -304, -283, -238, -183, -90, -82, -1, -76, 
##     -92, 10, 8, -42, -20, -12, -23, -31, -23, -43, -85, -68, 
##     -95, -185, -218, -198, -231, -273, -271, -305, -293, -296, 
##     -339, -317, -275, -188, -155, -104, -82, -76, -47, -27, 3, 
##     8, -7, -4, -13, 8, 20, -296, -288, -292, -309, -295, -272, 
##     -271, -273, -279, -285, -289, -277, -284, -279, -294, -260, 
##     -248, -221, -216, -107, -146, -110, -78, -81, -69, -29, -16, 
##     -20, -19, -3, -3, -3, -23, -40, -50, -62, -45, -106, -143, 
##     -123, -138, -277, -266, -273, -277, -290, -314, -305, -299, 
##     -290, -309, -311, -308, -304, -317, -296, -336, -286, -249, 
##     -286, -264, -273, -242, -182, -158, -132, -161, -84, -74, 
##     -17, -2, -11, -14, -6, 5, 12, 12, -14, 15, -18, -22, -30, 
##     -42, -44, -38, -26, -62, -75, -80, -112, -157, -207, -249, 
##     -308, -321, -331, -338, -346, -332, -340, -351, -323, -318, 
##     -299, -289, -323, -295, -307, -289, -283, -252, -168, -137, 
##     -161, -52, -50, -35, -19, 1, 20, 5, 6, 11, 20, 24, -48, -142, 
##     -147, -185, -217, -255, -317, -293, -289, -293, -315, -318, 
##     -314, -315, -269, -269, -253, -247, -239, -250, -266, -254, 
##     -278, -248, -171, -106, -95, -98, -86, -67, -37, -27, -15, 
##     -14, -16, -11, -2, 8, 1, 12, -73, -106, -111, -140, -131, 
##     -176, -254, -221, -283, -280, -298, -311, -221, -117, -146, 
##     -150, -137, -136, -126, -35, -40, -43, -47, -41, -20, -15, 
##     -14, -20, -17, -17, -373, -374, -369, -340, -336, -373, -339, 
##     -294, -216, -12, -9, -18, -23, -17, -32, -41, -33, -36, -43, 
##     -67, -95, -110, -108, -141, -177, -230, -211, -171, -142, 
##     -146, -130, -104, -68, -26, -42, -75, -63, -73, -70, -40, 
##     -45, -54, -68, -431, -468, -467, -464, -446, -448, -454, 
##     -402, -403, -323, -283, -274, -266, -258, -280, -298, -140, 
##     -152, -158, -120, -98, -99, -86, -71, -70, -89, -77, -33, 
##     -36, -51, -48, -57, -58, -110, -143, -163, -209, -211, -361, 
##     -332, -358, -364, -390, -410, -449, -455, -439, -444, -412, 
##     -444, -428, -453, -460, -461, -427, -450, -456, -445, -415, 
##     -425, -408, -358, -360, -324, -330, -280, -230, -291, -139, 
##     -120, -132, -66, -76, -72, -71, -71, -70, -66, -65, -72, 
##     -69, -69, -70, -72, -82, -165, -172, -190, -184, -237, -216, 
##     -280, -293, -377, -338, -417, -400, -411, -414, -383, -391, 
##     -382, -372, -373, -313, -270, -288, -296, -249, -229, -215, 
##     -164, -170, -106, -44, -73, -40, -79, -15, -453, -442, -403, 
##     -398, -409, -359, -292, -273, -277, -316, -384, -388, -373, 
##     -304, -276, -225, -259, -219, -215, -79, -59, -40, -39, -24, 
##     -36, -44, -40, -51, -6, -136, -142, -142, -198, -290, -323, 
##     -398, -402, -397, -369, -393, -372, -381, -302, -311, -378, 
##     -373, -372, -377, -375, -399, -418, -406, -376, -373, -361, 
##     -361, -219, -223, -175, -115, -14, -29, -12, -6, -31, -3, 
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##     -336, -363, -393, -421, -424, -422, -409, -369, -378, -345, 
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##     112, 90, 72, 96, -88, -84, -80, -52, 115, 121, 165, 157, 
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##     -77, -63, -45, -33, 27, 105, 127, 179, 179, 179, 171, 172, 
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##     102, 108, 111, 129, 102, 108, 115, 112, 120, 114, 127, 110, 
##     121, 119, 118, 125, 129, 128, 117, 118, 136, 132, 127, 132, 
##     138, 143, 130, 134, 125, 112, 119, 114, 114, 112, 96, 102, 
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##     -134, -141, -164, -222, -202, -228, -177, -202, -218, -227, 
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##     -164, -171, -149, -29, -30, -52, 10, -13, 24, 51, 18, 33, 
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##     -179, -194, -173, -161, -67, -84, -62, -45, -24, -14, 11, 
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##     -63, -61, 20, 36, 180, 121, 237, 142, 138, 209, 218, 185, 
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##     -126, -125, -111, -119, -137, -146, -98, -20, 63, 147, 188, 
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##     -87, -77, -84, -83, -83, 146, 155, 159, 223, 203, 208, 202, 
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##     74, 77, 96, 108, 113, 108, 75, 84, 117, 118, 99, 91, 56, 
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##     136, 108, 120, 97, 55, -32, -7, 24, 60, 83, 69, 63, 72, 93, 
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##     -466, -453, -426, -422, -418, -409, -419, -414, -367, -278, 
##     -201, -87, -68, -70, -60, -70, -85, -103, -108, -123, -162, 
##     -242, -272, -294, -346, -393, -394, -435, -401, -402, -419, 
##     -418, -427, -413, -422, -387, -357, -344, -318, -257, -86, 
##     -137, -115, -81, -96, -80, -88, -54, -133, -136, -152, -185, 
##     -195, -252, -351, -354, -407, -444, -412, -439, -455, -428, 
##     -432, -427, -419, -414, -410, -415, -390, -405, -451, -391, 
##     -339, -294, -246, -243, -123, -105, -88, -93, -93, -84, -83, 
##     -83, -121, -125, -193, -231, -261, -255, -253, -251, -240, 
##     -312, -351, -378, -416, -417, -419, -402, -420, -408, -398, 
##     -388, -372, -377, -392, -416, -421, -413, -411, -414, -426, 
##     -401, -382, -57, -67, -71, -73, -120, -113, -36, -158, -191, 
##     -253, -288, -341, -398, -423, -406, -412, -396, -424, -436, 
##     -445, -431, -415, -420, -428, -431, -411, -400, -350, -333, 
##     -331, -288, -239, -223, -167, -44, -95, -155, -129, -104, 
##     -69, -90, -95, -139, -124, -126, -129, -158, -182, -226, 
##     -227, -247, -346, -390, -425, -407, -415, -411, -405, -366, 
##     -389, -408, -401, -405, -412, -422, -429, -413, -371, -248, 
##     -227, -187, -186, -154, -121, -96, -88, -91, -91, -104, -99, 
##     -108, -103, -130, -131, -135, -201, -244, -335, -354, -364, 
##     -451, -437, -402, -393, -388, -382, -398, -404, -408, -401, 
##     -413, -417, -408, -399, -382, -382, -309, -280, -307, -332, 
##     -101, -103, -114, -66, -52, -81, -54, -103, -118, -121, -134, 
##     -149, -154, -266, -286, -387, -394, -429, -398, -397, -413, 
##     -391, -412, -411, -406, -398, -422, -347, -294, -278, -278, 
##     -219, -191, -77, -85, -89, -87, -104, -126, -88, -98, -162, 
##     -125, -132, -122, -144, -150, -142, -140, -145, -128, -131, 
##     -127, -126, -129, -134, -144, -136, -124, -112, -82, -74, 
##     -48, -23, -11, 114, 149, 146, 14, 24, 29, 29, 96, 167, 170, 
##     190, 236, 226, 321, 305, 272, 264, 162, 133, 21, -44, 233, 
##     75, 1, -47, -59, 106, 204, 197, 208, 219, 238, 236, 287, 
##     290, 272, 265, 229, 224, 200, 177, 160, 122, 111, 69, 37, 
##     -27, -48, -45, 4, 175, 189, 196, 216, 214, 221, 211, 227, 
##     255, 251, 234, 239, 119, 17, -51, -62, 0, 19, 37, 62, 111, 
##     154, 157, 174, 172, 178, 146, 102, 81, 90, 92, 156, 176, 
##     157, 157, 161, 140, 149, 60, -73, 45, 78, 128, 161, 215, 
##     182, 188, 244, 202, 206, 234, 148, 212, 251, 247, 243, 225, 
##     208, 159, 149, 118, 90, 69, 40, 36, -44, -52, -34, -27, 70, 
##     105, 150, 166, 202, 208, 187, 215, 247, 194, 250, 310, 255, 
##     239, 247, 284, 283, 279, 261, 258, 268, 271, 212, 101, 94, 
##     64, 48, 22, -42, -29, 87, 90, 110, 133, 140, 188, 204, 189, 
##     221, 204, 220, 213, 224, 224, 251, 261, 236, 225, 259, 257, 
##     252, 195, 198, 27, 2, -60, -33, 6, 67, 111, 170, 192, 219, 
##     136, 139, 63, 88, 14, 11, -11, -36, -56, -117, -117, -148, 
##     -203, -167, -189, -200, -229, -222, -201, -200, -193, -181, 
##     -178, -177, -192, -189, -187, -185, -189, -187, -187, -186, 
##     -185, -185, -184, -187, -188, -188, -167, -206, -180, -203, 
##     -171, -174, -169, -148, -115, -113, -122, -112, -115, -118, 
##     -116, -115, -116, -112, -120, -115, -118, -113, -75, -50, 
##     -10, -15, -28, 23, 179, 173, 145, 133, 106, 90, 44, 83, 136, 
##     162, 18, 21, -40, -87, -62, 16, 167, 247, 260, 352, 181, 
##     161, 151, 207, 207, 244, 225, 180, 216, 74, 75, 42, -62, 
##     -9, -6, 0, -72, -51, -53, -82, 107, 103, 188, 296, 281, 167, 
##     109, 194, 244, 136, 112, 135, -99, -32, -93, -123, -84, -77, 
##     -19, -132, -38, 55, 176, 80, 157, 335, 275, 261, 112, 98, 
##     175, 169, 169, 162, 172, 206, 147, 150, 111, 66, 41, -15, 
##     -131, -166, -166, -186, -89, -113, -36, 104, 196, 133, 178, 
##     93, 215, 233, 220, -29, -88, -83, -76, -64, -126, -151, -145, 
##     -73, -80, 109, 144, 98, 114, 197, 241, 119, 127, 145, 191, 
##     169, 160, 160, 129, 130, 74, 28, 0, -97, -118, -118, -155, 
##     -158, -150, -144, -141, -162, -163, -46, -68, -19, 38, 155, 
##     244, 158, 130, 94, 125, 41, 2, -80, -142, -161, -132, -129, 
##     -170, 30, 244, 195, 78, 370, 267, 191, 187, 96, 238, 208, 
##     207, 139, 175, 212, 235, 227, 210, 145, 128, 111, 22, 16, 
##     -61, -33, -153, -109, -137, -94, -123, -56, 213, 145, 199, 
##     234, 381, 138, 37, 172, 240, 215, 190, 151, 236, 166, 169, 
##     186, 174, 181, 184, 188, 194, 180, 185, 176, 190, 183, 182, 
##     183, 187, 184, 192, 194, 178, 181, 191, 184, 187, 178, 188, 
##     186, 185, 191, 186, -198, -212, -247, -225, -214, -227, -235, 
##     -285, -320, -360, -378, -383, -394, -399, -393, -397, -377, 
##     -364, -378, -347, -331, -346, -307, -305, -289, -211, -237, 
##     -252, -236, -217, -200, -194, -198, -187, -198, -193, -205, 
##     -196, -208, -206, -229, -236, -261, -265, -274, -270, -311, 
##     -318, -362, -370, -394, -394, -373, -395, -356, -344, -331, 
##     -329, -300, -276, -261, -255, -254, -270, -226, -230, -180, 
##     -194, -206, -201, -210, -169, -170, -158, -164, -168, -171, 
##     -172, -175, -175, -179, -358, -386, -384, -386, -376, -388, 
##     -371, -330, -344, -284, -270, -212, -211, -200, -164, -162, 
##     -158, -176, -149, -149, -156, -138, -114, -170, -201, -202, 
##     -188, -151, -218, -235, -233, -225, -234, -237, -271, -297, 
##     -335, -353, -395, -394, -383, -379, -379, -371, -380, -376, 
##     -356, -320, -315, -308, -328, -310, -237, -246, -257, -182, 
##     -184, -198, -197, -195, -192, -204, -205, -198, -214, -198, 
##     -238, -299, -351, -319, -302, -273, -277, -222, -227, -231, 
##     -188, -170, -190, -176, -174, -176, -170, -196, -189, -283, 
##     -274, -291, -328, -366, -398, -405, -392, -396, -395, -394, 
##     -396, -396, -396, -399, -366, -322, -284, -260, -246, -172, 
##     -118, -111, -96, -88, -48, -101, -103, -9, 1, 16, 14, 64, 
##     69, 63, 65, 47, 62, 54, 72, 57, 30, 48, 38, 30, 33, 43, 25, 
##     42, 39, 42, 27, 19, 58, 35, 41, 43, 42, 45, 51, 46, 47, 48, 
##     44, 45, 43, 42, 47, 40, 45, 56, -4, 13, 26, 68, 31, -63, 
##     -96, -163, -216, -200, -220, -211, -224, -226, -199, -210, 
##     -211, -214, -227, -243, -257, -260, -267, -277, -38, 73, 
##     54, 9, -21, -96, -109, -117, -288, -268, -275, -294, -282, 
##     -294, -234, -233, -177, -105, -91, 42, 53, 43, 47, 43, 39, 
##     48, 49, 62, 78, 64, 55, 63, 50, 55, 50, -271, -270, -271, 
##     -280, -295, -337, -342, -385, -389, -364, -372, -375, -351, 
##     -40, -18, 365, -61, -123, -119, -92, -187, -61, -98, -53, 
##     27, 97, 30, 40, 35, 0, -20, 76, 61, 42, 28, 38, 25, 24, 35, 
##     -4, -17, -13, -48, -72, -61, -52, -52, -71, -18, -4, 67, 
##     16, 6, -18, -65, 63, -74, 0, 55, 60, 79, 46, 32, 60, 5, 46, 
##     47, -14, -60, -56, -21, -72, -94, 98, -94, -112, -67, -57, 
##     -5, -14, -18, -75, 12, 53, 143, 162, 36, 44, 36, -5, 74, 
##     23, 74, 108, 85, 54, 29, -31, -12, 46, 15, 22, -34, 66, 11, 
##     39, 148, 182, 184, 129, 64, 25, 22, 27, 45, 51, 79, 86, 66, 
##     68, 34, -17, -14, -16, 33, 13, 36, 54, 26, -1, -73, -74, 
##     -18, 62, 66, -25, -108, -99, 55, 4, 100, 56, 37, 90, 92, 
##     73, 128, 112, 137, 134, 94, 105, 117, 144, 101, 133, 130, 
##     139, 112, 132, 121, 122, 187, 188, 189, 198, 194, 187, 190, 
##     196, 196, 188, 192, 190, 183, 178, 177, 194, 184, 198, 191, 
##     190, 186, 193, 186, 188, 188, 188, 177, 189, 188, -392, -369, 
##     -352, -365, -267, -232, -215, -63, -114, -88, -51, -59, -65, 
##     -97, -102, -82, -45, 163, 166, 181, 181, 175, 176, 181, 173, 
##     186, 186, 183, 173, 176, 180, 174, 189, 186, 125, 166, 138, 
##     158, 160, 191, 164, 20, 16, 19, -97, -87, -17, -114, 168, 
##     258, 205, 198, 142, 128, 128, 81, 68, 26, -13, -55, -69, 
##     -126, -135, -120, -2, 133, 204, 72, 119, 113, 136, 164, 162, 
##     155, 166, 159, 157, 157, 157, 176, 175, -184, -184, -185, 
##     -186, -183, -186, -184, -185, -185, -183, -187, -184, -184, 
##     -185, 218, 203, 41, -41, 109, 118, 179, 175, 248, 246, 229, 
##     217, 226, 242, 225, 220, 217, 61, 75, 145, 180, 198, 205, 
##     202, 209, 195, 216, 215, 226, -5, -2, 145, 143, 36, 71, 89, 
##     -24, -22, -23, -25, -61, -98, -101, -48, -37, 3, 21, 23, 
##     -51, -46, -77, -77, -66, -64, -9, 33, 96, -91, -58, -67, 
##     -27, 60, 34, 57, 81, 26, -54, -86, -79, -113, -113, 52, 26, 
##     -72, -77, -37, -127, -64, 2, -48, -79, -92, -113, 6, -1, 
##     -56, -72, -78, -72, -32, -20, 46, 32, 93, 86, 93, 36, 74, 
##     98, 54, 44, -20, -7, 9, 95, 96, 101, 73, 71, 54, 37, -15, 
##     -35, -42, -86, -98, -89, -96, -80, -42, 20, 40, 6, -13, -83, 
##     -100, -56, -94, -70, 3, -96, -90, -76, -33, -30, -44, -55, 
##     -54, -41, -23, -36, -35, -55, -79, -97, -117, -87, -144, 
##     -157, -168, -172, -179, -175, -81, -61, 69, 104, 122, 169, 
##     241, 245, 211, 139, 72, 50, 37, 33, -237, 24, 64, 81, 89, 
##     66, 52, -201, -193, -193, -203, -227, -241, -255, -271, -271, 
##     -270, -278), accel_forearm_y = c(204, 206, 203, 205, 205, 
##     203, 205, 204, 206, 203, 205, 208, 206, 202, 203, 204, 204, 
##     206, 207, 204, 205, 205, 203, 203, 208, 207, 203, 202, 208, 
##     206, 204, 204, 204, 205, 205, 202, 202, 206, 207, 203, 203, 
##     202, 203, 204, 204, 205, 207, 207, 207, 201, 202, 200, 207, 
##     201, 205, 205, 204, 206, 206, 206, 203, 206, 208, 206, 205, 
##     206, 205, 204, 205, 205, 207, 207, 206, 204, 203, 200, 203, 
##     208, 204, 205, 204, 203, 204, 203, 204, 204, 202, 204, 203, 
##     203, 202, 204, 204, 202, 203, 201, 202, 205, 203, 203, 204, 
##     234, 235, 237, 226, 236, 235, 227, 228, 226, 225, 240, 227, 
##     227, 230, 235, 230, 229, 231, 233, 229, 233, 238, 237, 227, 
##     227, 230, 233, 225, 228, 229, 229, 229, 232, 230, 229, 217, 
##     233, 236, 231, 219, 230, 229, 196, 200, 209, 212, 212, 196, 
##     210, 236, 225, 237, 250, 232, 237, 234, 247, 252, 219, 229, 
##     228, 216, 234, 219, 221, 202, 190, 181, 220, 218, 231, 236, 
##     226, 229, 235, 233, 223, 217, 232, 265, 249, 221, 247, 231, 
##     223, 220, 238, 249, 245, 252, 252, 237, 240, 240, 241, 234, 
##     234, 229, 244, 245, 239, 235, 241, 240, 234, 239, 238, 238, 
##     246, 251, 248, 226, 225, 236, 237, 238, 237, 238, 242, 240, 
##     240, 238, 238, 240, 241, 238, 242, 235, 233, 146, 145, 107, 
##     89, -15, -143, -154, -110, -69, -48, 8, 154, 179, 198, 214, 
##     305, 310, 290, 309, 280, 287, 288, 282, 289, 328, 323, 331, 
##     326, 337, 310, 307, 289, 299, 298, 220, 191, 155, 88, 43, 
##     29, -80, -177, -23, 35, 47, 64, 277, 360, 333, 299, 287, 
##     272, 285, 248, 270, 275, 273, 279, 305, 306, 330, 327, 322, 
##     322, 322, 308, 282, 225, 181, 175, 251, 230, 276, 289, 302, 
##     304, 303, 284, 268, 250, 274, 274, 277, 284, 290, 321, 321, 
##     309, 309, 320, 312, 298, 245, 174, 99, -39, -144, -183, -143, 
##     -109, -100, -56, 11, 14, 24, 49, 50, 172, 203, 251, 273, 
##     280, 272, 260, 270, 265, 264, 276, 300, 289, 269, 269, 275, 
##     278, 283, 285, 307, 305, 306, 210, 149, -19, -56, -90, -188, 
##     -158, 284, 285, 284, 333, 332, 320, 321, 280, 209, 176, 166, 
##     166, 158, 160, 100, 39, -81, -190, -145, 286, 275, 294, 304, 
##     330, 340, 314, -74, 141, 168, 151, 229, 232, 162, 106, 101, 
##     -73, -160, 4, 31, 30, 97, 131, 236, 274, 283, 309, 287, 287, 
##     316, 320, 258, 92, 85, 86, 92, 99, 99, 100, 97, 94, 95, 100, 
##     103, 105, 96, 92, 94, 95, 92, 88, 88, 92, 95, 102, 104, 98, 
##     93, 100, 100, 99, 90, 97, 97, 98, 102, 97, 100, 91, 94, 94, 
##     96, 100, 103, 102, 90, 93, 96, 94, 99, 103, 103, 103, 104, 
##     100, 98, 92, 92, 98, 97, 102, 102, 103, 97, 93, 92, 94, 96, 
##     93, 99, 102, 101, 98, 102, 104, 95, 93, 97, 102, 102, 100, 
##     100, 100, 99, 96, 98, 99, 101, 102, 101, 100, 96, 96, 101, 
##     107, 106, 100, 102, 98, 99, 99, 96, 98, 106, 101, 100, 97, 
##     96, 100, 99, 99, 95, 92, 97, 98, 100, 101, 101, 99, 99, 98, 
##     92, 95, 94, 95, 98, 93, 95, 95, 97, 97, 98, 92, 91, 95, 109, 
##     101, 93, 150, 110, 141, 140, 133, 130, 134, 163, 135, 87, 
##     85, 97, 97, 95, 96, 98, 101, 107, 151, 243, 143, 210, 201, 
##     253, 244, 227, 250, 151, 222, 200, 245, 229, 275, 280, 396, 
##     112, 95, 67, 84, 102, 106, 101, 96, 96, 91, 398, 404, 409, 
##     413, 387, 405, 394, 405, 394, 432, 390, 387, 419, 411, 372, 
##     416, 435, 380, 419, 383, 366, 413, 403, 398, 394, 400, 396, 
##     410, 404, 417, 382, 381, 414, 409, 389, 387, 403, 410, 403, 
##     403, 391, 409, 417, 404, 403, 400, 402, 408, 396, 392, 396, 
##     413, 411, 384, 376, 389, 408, 407, 405, 396, 407, 390, 383, 
##     406, 397, 405, 405, 401, 441, 412, 409, 375, 337, 337, 345, 
##     384, 394, 419, 429, 434, 422, 418, 408, 400, 398, 401, 389, 
##     390, 381, 374, 365, 370, 375, 381, 373, 369, 374, 390, 407, 
##     393, 376, 377, 385, 388, 361, 362, 363, 367, 372, 376, 405, 
##     407, 396, 389, 467, 531, 511, 525, 525, 518, 417, 395, 375, 
##     363, 201, 200, 265, 315, 326, 340, 357, 360, 359, 395, 438, 
##     425, 441, 477, 481, 452, 458, 463, 429, 421, 421, 413, 401, 
##     389, 387, 387, 384, 380, 393, 395, 391, 427, 435, 453, 502, 
##     532, 518, 513, 451, 354, 331, 297, 223, 178, 143, 103, 433, 
##     461, 455, 439, 415, 423, 456, 464, 465, 443, 416, 426, 418, 
##     412, 384, 408, 375, 370, 388, 412, 494, 433, 415, 403, 320, 
##     290, 162, 156, 161, 147, 152, 153, 149, 142, 141, 125, 122, 
##     127, 144, 160, 221, 208, 284, 270, 361, 360, 442, 480, 482, 
##     470, 435, 428, 460, 473, 438, 427, 399, 419, 394, 391, 392, 
##     392, 389, 377, 383, 397, 423, 456, 490, 505, 503, 526, 521, 
##     497, 491, 478, 423, 272, 272, 273, 245, 183, 130, 129, 130, 
##     126, 145, 137, 175, 178, 402, 379, 375, 365, 496, 492, 477, 
##     456, 453, 458, 455, 429, 402, 382, 399, 391, 490, 486, 480, 
##     477, 481, 489, 431, 355, 325, 226, 169, 455, 457, 431, 446, 
##     453, 447, 419, 424, 389, 402, 412, 405, 387, 490, 489, 549, 
##     532, 465, 465, 458, 444, 406, 371, 359, 324, 286, 259, 233, 
##     181, 174, 152, 133, 108, 104, 112, 113, 118, 129, 120, 101, 
##     55, 69, 81, 116, 303, 360, 370, 404, 397, 354, 437, 470, 
##     457, 444, 468, 448, 428, 422, 429, 429, 133, 127, 117, 123, 
##     124, 119, 118, 108, 115, 117, 115, 118, 115, 107, 94, 88, 
##     89, 115, 123, 146, 164, 173, 201, 279, 280, 278, 275, 276, 
##     277, 277, 278, 276, 280, 281, 279, 280, 277, 276, 279, 278, 
##     278, 278, 278, 278, 279, 279, 278, 279, 279, 277, 279, 278, 
##     278, 279, 277, 278, 278, 279, 278, 279, 278, 278, 280, 276, 
##     278, 278, 279, 278, 279, 279, 277, 275, 276, 276, 284, 282, 
##     282, 280, 280, 277, 272, 268, 271, 274, 273, 276, 275, 275, 
##     275, 274, 275, 276, 302, 311, 323, 346, 317, 191, 153, 98, 
##     81, -101, -109, -201, -203, -195, -180, -160, -73, -64, -37, 
##     -10, 24, 45, 121, 144, 155, 183, 275, 309, 322, 322, 311, 
##     309, 317, 318, 311, 302, 290, 297, 291, 286, 272, 272, 278, 
##     283, 297, 304, 315, 357, 358, 362, 315, 319, 247, 165, 132, 
##     119, 88, 37, -38, -84, -93, -117, -160, -216, -199, 281, 
##     291, 289, 274, 280, 297, 295, 307, 312, 333, 339, 348, 353, 
##     315, 311, 273, 104, 22, -19, -32, -138, -167, -168, -161, 
##     -156, -157, -168, -133, -115, -103, 69, 150, 189, 224, 234, 
##     277, 275, 280, 299, 338, 361, 370, 363, 355, 348, 308, 209, 
##     171, 95, 71, -127, -171, -209, -190, -161, -146, -140, -66, 
##     -12, 264, 273, 332, 344, 325, 340, 338, 327, 132, 169, 273, 
##     306, 284, 277, 305, 349, 348, 303, 291, 276, 266, 273, 279, 
##     286, 386, 377, 338, 302, 196, 157, 38, -34, -235, -255, -260, 
##     -246, -209, -168, -159, -141, -43, 168, 225, 297, 339, 329, 
##     326, 335, 341, 336, 328, 320, 303, 280, 274, 275, 255, 265, 
##     264, 270, 268, 270, 270, 281, 295, 291, 317, 344, 360, 375, 
##     356, 347, 331, 309, 177, 156, -33, -66, -181, -242, -235, 
##     -226, -170, -153, -123, -119, 31, 57, 63, 84, 279, 293, 309, 
##     320, 377, 374, 272, 255, 232, 197, 90, 43, 28, -7, -42, -121, 
##     -145, -286, -274, -126, -121, 34, 150, 326, 329, 307, 295, 
##     292, 286, 290, 286, 309, 311, 318, 329, 342, 344, 350, 337, 
##     316, 219, 198, 163, 91, 78, -17, -18, -62, -154, -177, -294, 
##     -192, -153, 19, 137, 169, 204, 271, 306, 293, 291, 289, 283, 
##     271, 280, 284, 280, 268, 332, 347, 348, 332, 305, -204, -260, 
##     -270, -247, -199, -163, -108, -20, 70, 89, 148, 263, 258, 
##     306, 326, 343, 342, 86, 99, 118, 77, 98, 83, 89, 87, 73, 
##     81, 92, 105, 91, 110, 68, 80, 93, 116, 111, 108, 96, 95, 
##     98, 100, 102, 102, 99, 99, 102, 99, 101, 100, 102, 101, 99, 
##     100, 100, 100, 101, 99, 97, 100, 101, 98, 101, 93, 102, 102, 
##     99, 102, 99, 102, 91, 95, 97, 98, 105, 106, 101, 97, 103, 
##     100, 98, 96, 92, 92, 104, 104, 96, 96, 102, 101, 95, 97, 
##     102, 100, 101, 99, 97, 97, 99, 103, 106, 97, 96, 95, 97, 
##     101, 101, 102, 104, 103, 97, 98, 100, 105, 106, 96, 101, 
##     104, 103, 101, 104, 107, 99, 96, 104, 99, 104, 99, 98, 99, 
##     99, 103, 101, 99, 99, 97, 100, 102, 100, 99, 106, 105, 102, 
##     102, 102, 102, 102, 100, 96, 96, 109, 106, 92, 92, 108, 95, 
##     102, 102, 115, 100, 101, 111, 105, 99, 97, 98, 95, 113, 112, 
##     116, 102, 91, 95, 91, 84, 130, 122, 103, 100, 96, 105, 109, 
##     102, 107, 104, 104, 107, 110, 109, 105, 109, 106, 105, 103, 
##     112, 107, 110, 107, 102, 102, 106, 100, 105, 109, 110, 117, 
##     117, 110, 103, 104, 115, 102, 114, 112, 113, 106, 118, 106, 
##     121, 128, 115, 112, 114, 113, 109, 115, 114, 114, 118, 112, 
##     203, 205, 203, 203, 204, 203, 203, 203, 205, 204, 205, 203, 
##     202, 204, 204, 199, 203, 201, 203, 201, 201, 202, 202, 203, 
##     200, 200, 200, 201, 200, 201, 202, 202, 200, 203, 202, 201, 
##     201, 204, 205, 202, 202, 203, 202, 199, 198, 202, 202, 198, 
##     202, 205, 204, 203, 203, 203, 200, 203, 202, 202, 201, 201, 
##     199, 198, 205, 202, 202, 207, 202, 202, 198, 198, 203, 206, 
##     197, 201, 201, 203, 207, 208, 201, 203, 202, 205, 205, 206, 
##     205, 204, 208, 207, 205, 203, 204, 206, 206, 205, 206, 208, 
##     210, 209, 209, 207, 210, 209, 208, 211, 206, 211, 213, 212, 
##     210, 215, 213, 211, 211, 212, 207, 201, 208, 211, 215, 217, 
##     250, 270, 284, 289, 289, 295, 295, 297, 316, 318, 317, 325, 
##     331, 279, 266, 207, 196, 113, 81, -34, -72, -71, -111, -182, 
##     -184, -196, -176, -164, -148, -128, -123, -103, -89, -91, 
##     -63, 18, 33, 43, 150, 145, 277, 290, 356, 306, 300, 272, 
##     259, 268, 250, 249, 261, 268, 281, 287, 333, 354, 364, 322, 
##     333, 331, 305, 300, 184, 138, 123, 91, -165, -220, -235, 
##     -213, -94, -78, -67, -54, -53, -13, 14, 28, 145, 166, 200, 
##     247, 301, 309, 310, 319, 329, 382, 373, 349, 357, 361, 219, 
##     159, 113, 35, -15, -163, -179, -182, -182, -164, -108, -87, 
##     -52, -25, 71, 91, 182, 205, 305, 337, 350, 285, 303, 339, 
##     345, 343, 342, 359, 342, 340, 294, 242, 177, 117, 92, 60, 
##     -10, -36, -74, -149, -186, -123, -90, -65, 87, 181, 295, 
##     275, -45, -240, -178, -79, -79, -62, 98, 120, 209, 219, 257, 
##     302, 374, 360, 296, 375, 339, 326, 247, 287, 283, 293, 322, 
##     336, 375, 368, 348, 329, 308, 163, 112, 112, 73, 15, -24, 
##     -59, -119, -251, -260, -238, -153, -130, -88, -46, -6, 99, 
##     169, 188, 211, 296, 350, 301, 336, 315, 253, 253, 248, 242, 
##     267, 345, 385, 361, 362, 355, 309, 209, 204, 184, 133, 113, 
##     24, 7, -263, -246, -214, -176, -63, -21, -16, 37, 179, 237, 
##     280, 303, 286, 311, 311, 293, 305, 313, 321, 350, 329, 309, 
##     289, 289, 331, 332, 343, 383, 397, 377, 267, 136, 97, 49, 
##     -18, -95, -204, -258, -168, -119, -106, -37, -10, 106, 114, 
##     118, 110, 109, 106, 115, 105, 109, 115, 117, 112, 110, 112, 
##     117, 116, 105, 107, 110, 114, 114, 113, 113, 116, 105, 115, 
##     111, 108, 102, 106, 111, 116, 112, 106, 101, 100, 104, 108, 
##     107, 118, 103, 102, 103, 113, 107, 108, 106, 110, 108, 105, 
##     106, 108, 109, 108, 108, 106, 111, 107, 111, 108, 107, 106, 
##     109, 107, 107, 107, 101, 104, 103, 112, 107, 107, 111, 109, 
##     106, 109, 110, 113, 108, 109, 110, 110, 105, 110, 109, 106, 
##     108, 108, 110, 110, 114, 103, 110, 107, 107, 106, 106, 111, 
##     111, 116, 118, 115, 106, 94, 111, 110, 111, 111, 107, 105, 
##     105, 107, 111, 102, 106, 125, 96, 101, 106, 112, 114, 114, 
##     120, 108, 101, 108, 108, 95, 114, 114, 104, 102, 108, 111, 
##     104, 99, 110, 113, 111, 108, 108, 109, 102, 108, 96, 99, 
##     100, 123, 135, 134, 128, 120, 104, 114, 104, 110, 116, 117, 
##     116, 109, 113, 108, 111, 111, 110, 107, 110, 113, 111, 110, 
##     107, 109, 110, 108, 118, 112, 110, 108, 109, 107, 108, 110, 
##     116, 107, 109, 116, 109, 105, 115, 107, 116, 125, 112, 224, 
##     250, 246, 232, 258, 295, 302, 273, 260, 231, 218, 220, 199, 
##     54, 42, -63, -115, 6, 21, 41, 103, 90, 210, 291, 333, 233, 
##     298, 286, 248, 228, 227, 233, 204, 187, 180, 235, 253, 262, 
##     282, 295, 263, 275, 257, 199, 204, 174, 156, 91, 74, 60, 
##     54, 49, -92, -71, -31, -27, 29, 37, 120, 228, 306, 293, 320, 
##     257, 242, 233, 278, 289, 301, 303, 277, 270, 274, 280, 274, 
##     262, 186, 116, 98, 43, -145, -25, -5, 45, 230, 247, 279, 
##     329, 269, 220, 217, 207, 279, 248, 242, 236, 273, 297, 282, 
##     192, 136, 104, 44, -169, -182, -182, -170, -78, -53, -44, 
##     -24, 48, 85, 140, 276, 379, 270, 239, 290, 282, 279, 258, 
##     323, 307, 293, 281, 172, 59, -149, -77, -52, 100, 324, 313, 
##     227, 219, 223, 249, 239, 250, 267, 266, 271, 298, 275, 274, 
##     196, 189, 171, 117, 103, 12, -87, -149, -72, -13, 1, 40, 
##     220, 285, 260, 237, 233, 238, 204, 228, 260, 270, 268, 229, 
##     254, 286, 296, 266, 250, 223, 208, 162, 155, 161, 179, 85, 
##     55, -103, -77, -59, 93, 135, 158, 200, 247, 240, 231, 188, 
##     191, 209, 248, 297, 298, 290, 294, 293, 291, 234, 172, 173, 
##     131, 127, 20, 4, -25, -71, -136, -43, 36, 175, 219, 190, 
##     246, 263, 266, 217, 218, 224, 225, 230, 239, 230, 241, 286, 
##     285, 279, 298, 277, 244, 229, 196, 110, 81, 57, -61, -98, 
##     -81, -57, 9, 10, 88, 231, 212, 241, 273, 283, 253, 194, 205, 
##     242, 257, 235, 232, 275, 310, 325, 305, 20, -149, -110, -7, 
##     20, -24, 154, 205, 246, 224, 221, 281, 295, 279, 281, 295, 
##     276, 280, 282, 280, 279, 280, 279, 279, 280, 280, 280, 280, 
##     280, 279, 278, 278, 280, 281, 279, 278, 489, 484, 491, 449, 
##     438, 338, 341, 337, 328, 274, 166, 171, 461, 478, 472, 469, 
##     421, 410, 402, 398, 406, 449, 460, 486, 484, 494, 499, 162, 
##     161, 157, 134, 112, 91, 126, 207, 266, 318, 111, 107, 107, 
##     124, 141, 141, 141, 141, 233, 297, 354, 336, 195, 170, 148, 
##     134, 122, 119, 84, 78, 73, 85, 116, 114, 375, 387, 376, 371, 
##     373, 372, 377, 369, 368, 381, 380, 377, 379, 381, 385, 381, 
##     371, 360, 364, 383, 388, 366, 357, 355, 350, 381, 407, 384, 
##     391, 397, 396, 393, 385, 382, 385, 383, 368, 0, -1, -1, 1, 
##     1, -3, -2, 0, 1, 2, 3, 2, -3, -4, 1, 0, 0, -1, -3, -2, 0, 
##     2, -2, -5, 4, 4, -1, 7, 6, 1, 3, 2, 13, 5, -12, -9, 3, 9, 
##     17, 17, 5, -3, -2, 1, 5, 1, 2, 0, -3, 0, -2, 2, 0, 1, -1, 
##     -2, -3, 7, 5, 6, 9, 8, 1, -2, -4, -4, -7, -18, -17, -5, -3, 
##     -6, -12, 4, 0, -2, -1, -12, -12, -1, 3, 16, 14, 3, -2, -11, 
##     -14, -4, -4, 2, 3, -12, -9, -8, -5, -6, -6, -6, -8, -8, -8, 
##     0, -3, -3, -1, 39, 86, 85, 93, 59, 54, 63, 66, 71, 96, 125, 
##     117, 95, 88, 100, 112, 117, 109, 97, 113, 135, 107, 98, 99, 
##     102, 102, 114, 106, 102, 103, 104, 101, 108, 109, 104, 102, 
##     102, 102, 108, 112, 107, 108, 104, 98, 96, 97, 104, 106, 
##     102, 96, 96, 109, 120, 120, 113, 103, 104, 108, 50, 29, 24, 
##     102, 94, 101, 76, 66, 61, 58, 64, 51, 39, 25, 0, -17, 55, 
##     27, 24, 23, 24, 29, 33, 35, 39, 47, 85, 115, 124, 118, 157, 
##     139, 182, 116, 92, 65, 57, 53, 39, -76, -113, -162, -205, 
##     -270, -231, -217, -228, -204, -181, -176, -168, -167, -166, 
##     -124, -104, 4, 92, 130, 145, 130, 124, 177, 113, 66, 86, 
##     109, 132, 135, 24, 35, -1, -31, -44, -114, -188, -248, -219, 
##     -196, -205, -201, -183, -170, -165, -161, -157, -109, -131, 
##     -150, -61, 124, 16, -20, -17, -8, -23, -35, -46, -80, -242, 
##     -245, -234, -183, -104, -102, -65, -19, 58, 103, 160, 162, 
##     134, 38, 39, 9, -29, -104, -123, -190, -215, -196, -216, 
##     -105, -102, -67, -65, -62, -37, 29, 63, 76, 73, 142, 122, 
##     120, 95, 84, 143, 129, 119, 122, 147, 159, 79, 86, 78, 63, 
##     63, -2, -19, 9, -135, -141, -204, -221, -219, -147, -135, 
##     -99, -63, 103, 121, 117, 51, 64, 81, 100, 103, 80, 98, 100, 
##     112, 110, 124, 125, 86, 56, 54, 62, 96, 104, 126, 55, -76, 
##     -102, -222, -180, -184, -179, -162, -119, -22, 29, 69, 113, 
##     109, 118, 119, 113, 96, 85, 86, 87, 83, 72, 86, 99, 62, 74, 
##     145, 128, 105, 86, 72, 149, 158, 167, 55, 61, 111, 113, 82, 
##     41, 25, -3, 2, -15, -129, -91, -99, -112, -191, -213, -232, 
##     -253, -256, -236, -220, -218, -227, -212, -181, -154, -99, 
##     -76, -62, 9, 50, 25, 93, 132, 92, 162, 158, -12, -50, -52, 
##     -89, -110, -110, -206, -219, -228, -230, -232, -217, -211, 
##     -164, -153, -142, -117, -90, -67, -25, -11, 16, 218, 302, 
##     305, 312, 344, 373, 354, 395, 397, 438, 412, 459, 443, 431, 
##     440, 440, 424, 423, 436, 431, 435, 433, 427, 437, 444, 449, 
##     482, 488, 493, 498, 490, 321, 278, 249, 211, 202, 202, 176, 
##     127, 117, 124, 127, 131, 138, 142, 142, 144, 137, 111, 106, 
##     107, 106, 106, 118, 124, 146, 228, 278, 266, 288, 400, 459, 
##     477, 447, 435, 430, 431, 97, 78, 83, 88, 91, 91, 75, 113, 
##     117, 88, 111, 140, 101, 82, 83, 105, 100, 104, 128, 161, 
##     120, 120, 119, 108, 95, 95, 117, 108, 128, 87, 80, 57, 47, 
##     36, 28, 31, 35, 31, 23, -1, 17, 17, 23, 24, 22, 108, 106, 
##     107, 99, 95, 113, 117, 113, 108, 113, 100, 97, 92, 91, -1, 
##     2, -4, 17, 15, 7, -6, -11, -15, -11, 1, -1, 1, 2, -1, -1, 
##     -2, -6, -2, 2, 4, 1, 1, -2, 108, 118, 110, 109, 108, 111, 
##     111, 110, 112, 112, 113, 110, 110, 110, 111, 112, 106, 100, 
##     108, 107, 106, 100, 94, 117, 125, 123, 81, 121, 123, 107, 
##     79, 84, 104, 120, 86, 98, 118, 156, 271, 273, 343, 282, 294, 
##     237, 196, 153, 134, -33, -87, -110, -241, -236, -150, -122, 
##     -44, -23, 314, 280, 281, 280, 280, 281, 275, 269, 272, 291, 
##     293, 299, 307, 347, 349, 340, 338, 312, 326, 315, 305, 290, 
##     275, 264, 264, 261, 262, 265, 270, 266, 271, -103, -73, 54, 
##     159, 221, 218, 224, 252, 252, 290, 316, 308, 306, 303, 290, 
##     277, 277, 278, 278, 279, 278, 278, 277, 277, 278, 278, 278, 
##     278, 279, 279, 278, 279, 278, 280, 279, 296, 287, 277, 296, 
##     923, 327, 306, 280, 257, 288, 256, 265, 282, 297, 274, 277, 
##     280, 279, 279, 276, 278, 279, 281, 281, 288, 286, 288, 294, 
##     278, 255, 252, 257, 252, 265, 308, 281, 276, 277, 279, 280, 
##     276, 279, 279, 281, 280, 274, 273, 327, 316, 314, 301, 283, 
##     285, 274, 266, 295, 322, 329, 311, 279, 268, -128, 9, 73, 
##     136, 197, 220, 266, 281, 277, 297, 323, 34, 56, 257, 224, 
##     254, 295, 290, 280, 293, 153, 92, 21, -20, -132, -18, 206, 
##     212, 234, 248, 247, 246, 254, 261, 266, 278, 311, 315, 284, 
##     276, 263, 225, 229, 326, 358, 391, 396, 385, 384, 319, 303, 
##     266, 234, 210, 167, 159, 131, 82, 43, 274, 296, 276, 290, 
##     317, 330, 305, 293, 242, 228, 215, 196, 188, 147, -201, -182, 
##     -155, 14, 29, 154, 256, 253, 285, 289, 278, 300, 319, 289, 
##     266, 263, 276, 292, 300, 303, 329, 312, 306, 269, 254, 191, 
##     150, 35, 8, -227, -175, -173, -115, -88, 269, 268, 267, 235, 
##     239, 244, 237, 237, 238, 234, 237, 227, 235, 243, 242, 238, 
##     231, 245, 272, 279, 284, 295, 314, 321, 334, 331, 321, 320, 
##     300, 78, 82, 78, 58, -48, -111, -301, -229, -137, -133, 72, 
##     154, 224, 268, 282, 314, 360, 315, 269, 282, 302, 295, 287, 
##     293, 315, 312, 377, 126, 94, -264, -212, -159, -128, -47, 
##     -38, 83, 253, 261, 281, 300, 319, 360, 324, 297, 310, 315, 
##     364, 352, 284, 161, 89, -405, -462, -259, -153, -119, -84, 
##     79, 200, 231, 259, 214, 280, 98, 71, -189, -270, -380, -361, 
##     -162, -76, -75, 71, 264, 407, 387, 381, 388, 302, 309, 296, 
##     278, 379, 392, 362, 346, 313, 312, 257, 178, 64, -242, -272, 
##     -333, -141, -130, -123, -5, 204, 344, 328, 357, 350, 260, 
##     251, 263, 302, 313, 324, 356, 364, 363, 358, 325, 52, -326, 
##     122, 394, 241, 206, 143, 39, 24, -48, -145, -393, -316, -182, 
##     -148, -93, -55, -40, 238, 268, 296, 333, 346, 410, 308, 268, 
##     267, 310, 313, 277, 270, 267, 283, 354, 399, 451, 302, 289, 
##     219, 190, 137, 70, -48, -133, -444, -420, -360, -161, -173, 
##     -118, 17, 138, 200, 217, 324, 367, 356, 43, 325, 288, 282, 
##     297, 300, 275, 264, 258, 262, 264, 279, 288, 300, 302, 302, 
##     307, 311, 328, 334, 336, 335, 338, 359, 353, 244, 195, 117, 
##     99, 62, 4, -36, -71, -106, -115, -106, -127, -232, -248, 
##     -193, -142, -138, -163, -136, -130, -47, -6, 89, 148, 173, 
##     213, 235, 265, 298, 306, 327, 337, 333, 338, 318, 305, 300, 
##     296, 292, 293, 282, 280, 302, 361, 365, 372, 385, 396, 349, 
##     217, 155, 109, 86, -11, -18, -28, -94, -95, -98, -122, -126, 
##     -132, 336, 318, 280, 279, 275, 269, 268, 273, 282, 297, 337, 
##     386, 404, 395, 385, 346, 288, 267, 246, 146, 29, -54, -102, 
##     -105, -119, -125, -121, -121, -266, -235, -212, -169, -107, 
##     -75, 8, 23, 114, 231, 275, 303, 338, 355, 368, 382, 312, 
##     303, 293, 281, 276, -43, -73, -130, -154, -157, -164, -275, 
##     -208, -199, -163, -167, -168, -141, -88, -87, 60, 215, 271, 
##     291, 348, 351, 358, 362, 355, 342, 318, 302, 305, 293, 285, 
##     285, 314, 326, 353, 366, 399, 291, 267, 205, 189, 132, 80, 
##     34, -51, -115, -114, -162, -176, -240, -174, -140, -142, 
##     -154, -6, 60, 116, 196, 255, 315, 328, 356, 395, 387, 374, 
##     303, 302, 312, 306, 307, 305, 307, 307, 389, 404, 302, 135, 
##     -106, -125, -127, -146, -140, -152, -159, -160, -154, -127, 
##     -81, 214, 213, 224, 322, 320, 349, 346, 370, 364, 307, 323, 
##     -170, -144, -154, -120, -111, -104, -67, -58, 21, 77, 98, 
##     166, 259, 351, 391, 430, 388, 370, 329, 317, 304, 307, 332, 
##     415, 248, 139, 66, 6, -108, -141, -144, -151, -252, -278, 
##     -240, -199, -148, -74, 21, 54, 172, 231, 278, 290, 333, 99, 
##     194, 268, 319, 266, 318, 308, 341, 354, 332, 345, 300, 307, 
##     340, 345, 354, 354, 357, 368, 399, 410, 406, 300, 226, 210, 
##     183, 177, 130, 22, -12, -59, -219, -63, 188, 226, 254, 332, 
##     334, 386, 326, 298, 317, 307, 326, 286, 323, 305, 354, 360, 
##     377, 381, 370, 358, 355, 242, 56, 2, -194, -239, -166, -130, 
##     -135, -124, -122, -90, -86, -13, 29, 48, 138, 210, 258, 370, 
##     341, 247, 244, 245, 253, 254, 248, 251, 245, 244, 249, 251, 
##     246, 246, 253, 247, 246, 246, 248, 249, 248, 250, 247, 248, 
##     251, 250, 251, 261, 363, -181, -175, -168, -89, -8, 12, 32, 
##     52, 97, 159, 236, 372, 337, 376, 379, 353, 358, 333, 376, 
##     398, 405, 423, 307, 163, 148, 35, -74, -251, -306, -361, 
##     -162, -182, -211, -234, -143, 68, 177, 195, 255, 270, 291, 
##     298, 290, 340, 337, 372, 375, 366, 377, 369, 384, 389, 417, 
##     368, 218, 147, 107, 82, -4, 336, 334, 331, 353, 375, 405, 
##     417, 425, 438, 367, 337, 296, 169, 49, 38, -113, -131, -158, 
##     -172, -298, -274, -223, -210, -189, -187, 467, 364, 267, 
##     171, 153, 135, 87, -74, -111, -196, -187, -176, -69, 46, 
##     154, 230, 305, 287, 305, 316, 326, 322, 340, 394, 413, 243, 
##     175, 78, -41, -94, -161, -300, 316, 344, 361, 436, 437, 435, 
##     322, 300, 272, 255, 198, 128, 10, -51, -110, 301, 315, 342, 
##     342, 349, 347, 335, 325, 405, 421, 437, 383, 362, 161, 113, 
##     53, 30, -133, -151, -189, -280, -272, -249, -228, -200, -189, 
##     58, 121, 244, 281, 282, 329, 326, 360, 351, 330, 324, 319, 
##     335, 370, 424, 444, 489, 478, 314, 193, 276, 247, 226, 181, 
##     144, 138, 140, 143, 140, 152, 162, 162, 147, 143, 164, 165, 
##     163, 150, 153, 156, 163, 156, 187, 210, 240, 367, 365, 234, 
##     171, 134, -25, -58, -306, -283, -282, -205, 17, 169, 207, 
##     198, 266, 330, 326, 357, 406, 230, 187, 14, -37, -81, -245, 
##     -389, -344, -311, -270, -32, 417, 284, 91, -6, -316, -365, 
##     -383, -312, -273, -251, -233, -135, -92, 105, 139, 194, 329, 
##     307, 317, 288, 300, 305, 377, 394, 395, 396, 388, 172, 105, 
##     -158, -185, -253, -356, -324, -287, -94, -78, 66, 136, 324, 
##     353, 302, 319, 313, 398, 398, 368, 364, 307, 237, 95, -88, 
##     -373, -259, -244, -227, -146, 194, 197, 254, 268, 344, 282, 
##     361, 377, 372, 422, 411, 293, 360, 342, 337, 353, 362, 382, 
##     407, 388, 198, 189, 88, -55, -366, -142, 35, 289, 363, 407, 
##     336, 354, 364, 354, 331, 310, 341, 401, 209, 141, 36, 16, 
##     -8, -396, -401, -335, -170, -141, -40, 72, 186, 267, 281, 
##     286, 288, 306, 377, 397, 279, 260, 313, 384, 372, 372, 438, 
##     193, -19, -38, -337, -368, -406, -122, -114, 140, 172, 342, 
##     311, 296, 320, 372, 367, 284, 100, 227, 203, 223, 301, 315, 
##     311, 247, 232, 258, 210, 197, 131, 140, 160, 169, 144, 146, 
##     174, 189, 201, 168, 162, 152, 148, 202, 301, 323, 393, 385, 
##     384, 384, 380, 377, 380, 379, 381, 371, 374, 374, 374, 371, 
##     377, 374, 367, 365, 372, 373, 359, 361, 364, 363, 362, 358, 
##     357, 351, 348, 348, 351, 360, 368, 372, 381, 364, 364, 365, 
##     379, 396, 422, 534, 589, 566, 579, 155, 86, 46, 36, 8, -64, 
##     -60, -61, -60, -60, -60, -51, 22, 300, 402, 413, 479, 482, 
##     475, 488, 497, 476, 475, 471, 464, 418, 422, 425, 424, 425, 
##     438, 448, 462, 460, 486, -35, -36, -57, -78, -54, -49, -37, 
##     -47, -21, 28, 38, 51, 266, 285, 294, 301, 306, 423, 553, 
##     557, 539, 443, 367, 292, 280, 253, 204, 181, 103, 87, 75, 
##     33, 4, -18, -41, -100, -86, -66, -63, -71, -62, -28, -22, 
##     34, 63, 294, 305, 421, 457, 453, 453, 481, 513, 522, 393, 
##     425, 424, 438, 438, 429, 434, 449, 507, 514, 550, 571, 464, 
##     435, 394, 342, 310, 303, 275, 42, 141, 188, 272, 388, 418, 
##     429, 478, 497, 469, 398, 406, 424, 430, 425, 420, 410, 415, 
##     451, 4, -26, -43, -53, -53, -68, -72, -68, -55, -30, -22, 
##     40, 211, 304, 343, 416, 439, 455, 437, 461, 457, 460, 473, 
##     468, 433, 425, 424, 428, 426, 390, 407, 424, 488, 503, 508, 
##     514, 551, 539, 538, 544, 513, 268, 150, 121, 94, 71, 37, 
##     -12, -62, -83, -59, -40, -36, -29, 13, 83, 274, 301, 363, 
##     413, 424, 428, 436, 406, 478, 502, 428, 409, 419, 444, 453, 
##     452, 447, 441, 421, 407, 394, 440, 468, 463, 469, 492, 496, 
##     515, 545, 565, 556, 540, 540, 530, 530, 357, 198, 169, 107, 
##     84, 50, 39, 37, 23, 8, 8, -4, -67, -48, -33, 156, 333, 390, 
##     373, 415, 417, 438, 436, 458, 427, 416, 408, 430, 427, 393, 
##     395, 396, 380, 381, 499, 494, 470, 470, 424, 407, 223, 199, 
##     165, 137, 48, 40, 258, 4, -88, -92, -76, -69, -66, -71, -57, 
##     377, 380, 449, 426, 482, 484, 432, 404, 408, 416, 422, 422, 
##     414, 415, 412, 408, 401, 397, 398, 509, 535, 510, 527, 513, 
##     474, 393, 323, 296, 250, 185, 99, 371, 485, 478, 478, 479, 
##     464, 441, 440, 442, 443, 427, 424, 419, 416, 411, 405, 402, 
##     395, 105, 115, 139, 231, 239, 235, 269, 330, 371, 402, 400, 
##     400, 409, 412, 433, 433, 440, 477, 485, 499, 497, 489, 476, 
##     470, 457, 357, 147, 95, 142, 105, 93, 78, 31, 70, 80, 101, 
##     118, 118, 113, 82, 86, 111, 125, -130, -186, -217, -246, 
##     -232, -162, -165, -90, -85, 17, 25, 44, 77, 93, 76, 71, 164, 
##     114, 91, 116, 121, 111, 88, 75, 113, 115, 115, 104, 50, 113, 
##     94, 114, 140, 153, 138, 133, 50, 48, 56, 24, -34, -77, -81, 
##     -84, -86, -69, -90, -120, -116, -190, -198, -236, -245, -238, 
##     -260, -188, -144, -135, -110, -47, -46, -18, 56, 54, 74, 
##     74, 103, 103, 108, 128, 115, 117, 83, 70, 68, 69, 66, 69, 
##     68, 70, 69, 67, 70, 72, 145, 172, 143, 135, 146, 133, 128, 
##     93, 30, -12, -22, -68, -105, -126, -142, -302, -200, -180, 
##     -115, -66, 4, 98, 105, 81, 146, 117, 136, 166, 98, 141, 162, 
##     118, 107, 70, 94, -143, -158, -187, -210, -228, -335, -435, 
##     -438, -393, -372, -173, -122, -112, 29, 62, 78, 158, 178, 
##     117, 152, 106, 98, 63, 71, 89, 95, 119, 122, 138, 222, 217, 
##     144, 105, 76, 32, -163, -200, -212, -249, -273, -334, -354, 
##     -435, -405, -363, -360, -358, -351, -344, -292, -240, -191, 
##     -132, -47, -38, 19, 134, 140, 148, 101, 86, 82, 88, 92, 81, 
##     97, 100, 112, 126, 153, 164, 165, 128, 44, 6, -42, -63, -104, 
##     -125, -160, -183, -250, -250, -266, -344, -365, -411, -415, 
##     -410, -370, -363, -358, -347, -314, -236, -129, -54, -35, 
##     45, 92, 122, 131, 141, 146, 137, 139, 143, -17, -30, -44, 
##     -78, -156, -159, -203, -209, -216, -219, -265, -381, -398, 
##     -400, -377, -380, -371, -357, -312, -295, -278, -220, -212, 
##     -183, -32, 1, 42, 48, 138, 129, 106, 171, 131, 133, 131, 
##     104, 73, 68, 77, 85, 78, 73, 83, 75, 79, 84, 97, 111, 144, 
##     -300, -297, -320, -393, -401, -305, -284, -234, -206, -183, 
##     -168, -79, -46, 12, 22, -3, 160, 144, 112, 102, 94, 67, 60, 
##     62, 84, 93, 99, 124, 135, 133, 132, 135, 150, 161, 132, 74, 
##     44, 11, -32, -100, -163, -172, -249, -261, -351, -350, -308, 
##     -256, -237, -211, -162, -10, -26, 15, 117, 95, 111, 80, 63, 
##     81, 78, 91, 101, 101, 161, 172, 150, 153, 157, 140, 140, 
##     137, 126, 98, -82, -118, -132, -217, -238, -294, -333, -417, 
##     -388, -378, -372, -373, -365, -354, -342, -332, -318, -256, 
##     -243, -228, -178, -156, -143, -69, 440, 428, 423, 332, 317, 
##     319, 301, 231, 163, 151, 155, 171, 78, 86, 112, 112, 112, 
##     444, 434, 412, 456, 440, 444, 415, 444, 480, 480, 457, 441, 
##     426, 415, 407, 400, 410, 424, 419, 406, 404, 401, 404, 461, 
##     456, 487, 477, 491, 510, 513, 413, 383, 276, 266, 208, 174, 
##     143, 124, 129, 134, 138, 130, 123, 100, 95, 93, 100, 122, 
##     123, 131, 128, 135, 140, 137, 130, 42, 13, -63, -63, -126, 
##     -178, -194, -205, -231, -251, -265, -295, 59, 58, 78, 101, 
##     99, 99, 101, 115, 154, 176, 184, 181, 177, 150, 58, 56, 174, 
##     145, 174, 208, -32, -32, -29, -44, -81, -91, -118, -205, 
##     -223, -237, -242, -256, -359, -433, -406, -397, -414, -415, 
##     -409, -402, -393, -349, 121, 145, 137, 131, 73, -30, -61, 
##     -61, -47, -18, -145, -130, 160, 183, 161, 166, 170, 150, 
##     156, 172, 169, 171, 156, 316, 379, 410, 411, 436, 374, 219, 
##     174, 66, -99, -131, -175, -245, -216, -113, 44, 9, -68, -83, 
##     -261, -413, -188, -156, 49, 101, 208, 265, 293, 350, 333, 
##     184, 294, 257, 328, 341, 341, 282, 274, 283, 308, 333, 337, 
##     403, 375, 400, 155, 154, 162, 159, 155, 156, 156, 157, 155, 
##     157, 157, 152, 155, 150, 154, 153, 155, 150, 155, 153, 154, 
##     380, 369, 371, 376, 309, 331, 294, 292, 290, 295, 376, 386, 
##     413, 449, 419, 400, 375, 384, 402, 405, 398, 174, 18, -6, 
##     -57, -64, -70, -134, -145, -229, -248, -235, -197, -172, 
##     285, 368, 374, 389, 386, 402, 240, 205, 172, 115, -3, -288, 
##     -259, -246, -189, -177, -164, -127, -67, -32, 51, 105, 149, 
##     154, 161, 210, 311, 318, 259, 259, 264, 263, 261, 263, 262, 
##     264, 266, 265, 267, 260, 270, 267, 265, 270, 272, 271, 268, 
##     266, 263, 260, 259, 260, 259, 265, 266, 391, 441, 362, 256, 
##     272, 290, 273, 237, 248, 300, 342, 341, 385, 395, 388, 295, 
##     271, 275, 300, 322, 320, 343, 383, 167, 222, 268, 267, 283, 
##     295, 280, 259, -194, -180, 172, 127, -128, -166, -285, -258, 
##     -241, -236, -237, -232, -220, -122, -148, -289, -305, -331, 
##     -338, -293, -261, -176, -196, -186, -179, -133, -52, 69, 
##     191, 283, 289, -233, -191, -189, -168, -126, -44, -24, 47, 
##     268, 282, 293, 304, 319, 132, 153, 160, 198, 218, 255, 284, 
##     321, 326, 359, 337, 391, -236, -245, -280, -204, -193, -190, 
##     -195, -174, -109, -78, 131, 251, 263, -227, -212, -199, -170, 
##     -161, -146, 41, 145, 251, 283, 298, 300, 374, 384, 401, 404, 
##     468, 462, 410, 300, 142, 94, 38, -56, -106, -156, -228, -255, 
##     -279, -287, -181, 378, 395, 397, 419, 427, 242, 153, 102, 
##     83, -174, -201, -214, -244, -258, -279, -290, -302, -253, 
##     -233, 351, 330, 285, 336, 297, 273, 279, 278, 247, 250, 249, 
##     260, 248, 351, 356, 348, 318, 316, 294, 272, 270, 303, 299, 
##     316, 313, 346, 369, 329, 132, 120, 17, -10, -219, -220, -71, 
##     -27, 35, 335, 364, 377, 353, 352, 336, 333, 377, 300, 315, 
##     322, 333, 346, 348, 423, 414, 266, 183, 157, -361, -277, 
##     -220, -206, -192, -143, -99, 23, 234, 252, 270, 278, 295, 
##     345, 314, 346, 361, 370, 345, 297, 302, 300, 278, 272, 258, 
##     258, 257, 271, 276, 280, 294, 285, 305, 313, 205, 200, 201, 
##     196, 202, 140, 111, 57, 58, 96, 116, 134, 148, 154, 138, 
##     141, 134, 138, 296, 273, 339, 340, 334, 310, 297, 231, 212, 
##     137, 114, 85, 35, 69, 99, 150, 167, 138, 201, 320, 311, 286, 
##     287, 286, 302, 310, 308, 276, 291, 279, 276, 284, 277, 277, 
##     254, 281, 294, 318, 335, 316, 293, 153, 71, 49, 56, 75, 88, 
##     138, 141, 182, 220, 261, 289, 330, 300, 308, 290, 272, 263, 
##     267, 300, 324, 331, 317, 328, 317, 312, 320, 292, 283, 177, 
##     169, 31, 31, 45, 67, 103, 101, 88, 170, 260, 262, 322, 356, 
##     281, 258, 249, 297, 278, 283, 282, 316, 327, 333, 317, 314, 
##     314, 299, 254, 68, -51, -36, 36, 62, 109, 241, 304, 366, 
##     319, 292, 320, 294, 299, 274, 282, 284, 281, 323, 341, 322, 
##     323, 319, 236, 228, 132, 55, 59, 61, 64, 104, 114, 231, 221, 
##     271, 270, 318, 291, 268, 278, 277, 296, 259, 74, 25, -66, 
##     -236, -33, 34, 60, 210, 215, 279, 283, 295, 296, 297, 320, 
##     411, 359, 346, 327, 316, 311, 317, 323, 339, 407, 419, 229, 
##     208, 85, 67, 43, -43, -72, -143, -162, -255, -168, -117, 
##     -118, -114, -64, 40, 81, 90, 293, 307, 370, 333, 293, 275, 
##     274, 284, 240, 254, 257, 255, 244, 243, 250, 254, 264, 319, 
##     349, 352, 347, 333, 346, 189, 148, 67, 4, -34, -31, 54, 68, 
##     162, 190, 207, 237, 283, 298, 347, 353, 302, 298, 273, 271, 
##     274, 280, 281, 281, 290, 303, 321, 337, 385, 375, 304, 259, 
##     295, 278, 280, 305, 335, 367, 361, 343, 351, 336, 316, 347, 
##     326, 296, 292, 280, 280, 286, 294, 296, 341, 228, 216, 78, 
##     -106, -51, -6, 22, 267, 290, 344, 315, 288, 283, 300, 306, 
##     339, 348, 364, 345, 267, 47, 2, -121, -58, -18, 16, 69, 163, 
##     198, 220, 271, 339, 297, 347, 328, 307, 285, 279, 275, 276, 
##     284, 293, 307, 336, 372, 372, 373, 296, 167, 120, 84, 66, 
##     -66, -109, -112, -107, -44, -23, 24, 68, 85, 107, 166, 187, 
##     230, 225, 316, 283, 317, 284, 319, 375, 264, 191, 139, 99, 
##     13, -8, -28, -115, -102, 7, 27, 53, 102, 311, 332, 336, 336, 
##     367, 378, 379, 381, 232, 203, 18, -5, -92, -68, -52, -36, 
##     29, 120, 293, 320, 370, 332, 326, 328, 330, 294, 289, 288, 
##     293, 314, 344, 360, 361, 362, 355, 312, 298, -148, -110, 
##     -86, -56, -42, 24, 187, 175, 253, 376, 344, 335, 337, 357, 
##     372, 327, 313, 314, 278, 273, 267, 257, 261, 263, 274, 274, 
##     273, 267, 264, 266, 269, 258, 265, 264, 261, 251, 243, 266, 
##     276, 267, 262, 263, 257, 263, 270, 259, 260, 263, 260, 248, 
##     250, 260, 275, 247, 255, 252, 261, 283, 266, 241, 261, 264, 
##     249, 250, 251, 246, 260, 270, 260, 270, 271, 265, 274, 274, 
##     271, 269, 297, 334, 344, 325, 330, 315, 284, 216, 188, 180, 
##     162, 152, 148, 130, 118, 43, -13, 37, 74, 92, 101, 221, 274, 
##     243, 285, 342, 338, 330, 319, 316, 305, 313, 334, 332, 345, 
##     355, 358, 335, 330, 320, 250, 204, 77, 39, 4, -16, -16, 112, 
##     221, 264, 282, 314, 324, 334, 330, 338, 354, 347, 278, 256, 
##     178, 132, -4, -15, -63, -57, -42, 4, 76, 128, 185, 280, 313, 
##     321, 327, 330, 334, 366, 353, 345, 383, 376, 371, 368, 361, 
##     336, 338, 300, 261, 12, 2, -9, 22, 190, 191, 168, 231, 285, 
##     324, 343, 323, 338, 314, 312, 317, 365, 375, 386, 353, 273, 
##     252, 224, 59, -51, -48, -16, 23, 39, 69, 133, 235, 306, 320, 
##     324, 337, 346, 362, 416, 350, 338, 361, 390, 374, 336, 345, 
##     351, 352, 352, 342, 344, 346, 314, 245, 179, 47, -109, -89, 
##     -74, 9, 90, 196, 252, 316, 352, 366, 360, 336, 344, 355, 
##     369, 347, 342, 307, 257, 225, 103, 45, -76, -88, -107, -98, 
##     220, 248, 309, 321, 357, 332, 331, 338, 319, 366, 361, 384, 
##     382, 384, 341, 201, -64, 157, 162, 162, 171, 173, 176, 201, 
##     222, 292, 291, 290, 315, 249, 238, 216, 145, 107, 18, 38, 
##     71, 149, 194, 84, 103, 118, 273, 262, 325, 312, 279, 245, 
##     231, 230, 251, 232, 234, 201, 193, 265, 312, 308, 297, 282, 
##     279, 281, 284, 296, 108, 57, 26, 183, 130, 120, 136, 274, 
##     297, 233, 236, 244, 214, 211, 299, 299, 328, 316, 323, 275, 
##     214, 144, 122, 98, 8, 91, 103, 107, 117, 85, 65, 73, 168, 
##     266, 267, 97, 53, 55, 77, 92, 86, 85, 124, 247, 273, 208, 
##     228, 237, 259, 278, 294, 297, 318, 323, 313, 258, 229, 29, 
##     6, 16, 73, 46, 306, 287, 265, 252, 249, 261, 266, 269, 292, 
##     312, 326, 321, 322, 319, 289, 225, 181, 45, 17, -22, -22, 
##     152, 202, 202, 235, 321, 292, 261, 287, 277, 265, 262, 255, 
##     273, 314, 340, 303, 313, 143, 82, 22, 18, 28, 39, 38, 82, 
##     141, 141, 180, 237, 254, 350, 220, 294, 277, 237, 256, 336, 
##     327, 322, 302, 277, 230, 7, -11, 153, 232, 255, 294, 288, 
##     256, 246, 269, 277, 282, 290, 299, 320, 315, 101, 58, 55, 
##     8, 29, 95, 186, 198, 245, 351, 365, 366, 189, 184, 278, 273, 
##     291, 322, 299, 313, 321, 322, 309, 287, 251, 219, 138, 31, 
##     -6, 50, 136, 213, 153, 237, 201, 223, 323, 288, 254, 209, 
##     247, 237, 217, 178, 163, 148, 126, 129, 140, 147, 160, 162, 
##     153, 161, 168, 171, 163, 157, 154, 172, 156, 156, 162, 147, 
##     157, 159, 160, 159, 160, 159, 163, 155, 175, 188, 202, 282, 
##     396, 400, 400, 400, 388, 392, 317, 284, 249, 189, 102, 94, 
##     41, -54, -282, -260, -172, -96, 20, 55, 209, 239, 282, 270, 
##     400, 328, 263, 138, 131, 39, 6, -300, -265, -7, 6, 262, 338, 
##     367, 361, 339, 268, 290, 236, 230, 174, 170, 169, 161, 190, 
##     202, 199, 188, 194, 182, 192, 183, 182, 193, 189, 188, 188, 
##     188, 184, 189, 182, 195, 182, 208, 209, 218, 240, 304, 311, 
##     321, 343, 168, 118, 133, 179, 298, 369, 277, 200, 189, 242, 
##     234, 259, 269, 262, 256, 237, 217, 225, 252, 257, 255, 259, 
##     252, 244, 239, 236, 392, 477, 510, 507, 534, 454, 439, 412, 
##     363, 327, 265, 211, 153, 106, 46, 15, 452, 458, 498, 485, 
##     534, 516, 524, 482, 390, 333, 263, 237, 213, 189, 163, 155, 
##     167, 207, 300, 371, 399, 497, 408, 422, 462, 465, 470, 463, 
##     454, 438, 407, 427, 424, 414, 412, 426, 429, 423, 432, 469, 
##     509, 530, 531, 532, 549, 531, 561, 561, 545, 489, 438, 373, 
##     112, 89, 33, 21, -64, -77, -65, -67, -70, -67, -13, 12, 64, 
##     297, 370, 481, 518, 520, 493, 443, 418, 271, 268, 245, 230, 
##     234, 240, 240, 283, 298, 285, 270, 298, 308, 323, 318, 323, 
##     328, 318, 310, 313, 326, 339, 347, 344, 339, 333, 317, 316, 
##     323, 324, 329, 329, 328, 316, 309, 309, 315, 323, 335, 340, 
##     346, 367, 372, 394, 423, 435, 442, 504, 474, 392, 284, 296, 
##     326, 326, 319, 314, 306, 326, 298, 272, 294, 295, 331, 429, 
##     424, 433, 470, 469, 374, 399, 421, 423, 469, 464, 460, 475, 
##     465, 409, 387, 383, 367, 331, 324, 317, 317, 287, 274, 274, 
##     283, 261, 274, 281, 303, 326, 325, 373, 436, 436, 450, 484, 
##     469, 473, 442, 368, 370, 403, 409, 396, 380, 379, 380, 392, 
##     358, 370, 404, 409, 421, 409, 423, 452, 463, 478, 488, 441, 
##     451, 369, 339, 334, 319, 293, 293, 286, 285, 309, 316, 306, 
##     312, 309, 309, 294, 298, 308, 356, 410, 397, 447, 421, 408, 
##     410, 428, 483, 468, 426, 433, 419, 418, 378, 368, 398, 366, 
##     475, 461, 445, 458, 411, 399, 429, 424, 481, 477, 477, 448, 
##     433, 419, 407, 408, 411, 415, 390, 376, 379, 386, 399, 419, 
##     436, 447, 455, 465, 473, 466, 463, 453, 404, 402, 393, 391, 
##     360, 360, 360, 361, 327, 327, 367, 395, 388, 391, 415, 474, 
##     479, 450, 421, 418, 389, 358, 360, 367, 390, 384, 385, 435, 
##     447, 466, 455, 453, 447, 459, 431, 377, 333, 329, 331, 329, 
##     315, 310, 286, 278, 270, 311, 345, 376, 414, 439, 456, 390, 
##     425, 416, 368, 373, 455, 454, 459, 453, 462, 468, 467, 435, 
##     378, 366, 361, 341, 336, 294, 293, 294, 296, 306, 322, 336, 
##     338, 290, 379, 364, 350, 319, 296, 281, 337, 298, 302, 309, 
##     304, 333, 338, 350, 379, 471, 436, 445, 446, 431, 419, 408, 
##     396, 367, 384, 397, 409, 410, 368, 334, 332, 310, 298, 297, 
##     297, 286, 285, 283, 281, 76, 59, 35, 7, -67, -40, -22, -27, 
##     -45, -45, -15, 460, 462, 451, 411, 415, 428, 391, 421, 418, 
##     397, 396, -81, -69, -63, -59, -48, -41, 41, 56, 94, 236, 
##     307, 335, -1, 101, 144, 153, 136, 155, 119, 96, -78, -105, 
##     -122, -263, -305, -360, -384, -393, -404, -397, -382, -375, 
##     -353, -336, -324, -184, 11, 31, 45, 90, 72, 86, 181, 149, 
##     80, 69, 65, 69, 68, 28, 48, 103, 95, 93, 98, 97, 104, 131, 
##     155, 142, 148, 193, 196, -70, -112, -150, -213, -224, -271, 
##     -302, -333, -401, -395, -384, -390, -395, -373, -360, -351, 
##     -341, -335, -335, -321, -314, -308, -271, -267, -82, -37, 
##     74, 82, 68, 123, 96, 69, 117, 120, 124, 113, 115, 105, 79, 
##     75, 102, 94, 80, 77, 78, 126, 144, 149, 131, 125, 126, 157, 
##     31, -27, -24, -9, -45, -49, -108, -135, -101, 104, 115, 112, 
##     117, 123, 133, 141, 143, 141, 136, 124, 126, 142, 143, 27, 
##     49, 94, 91, 102, 97, 84, 84, 96, 135, 105, 97, 106, 108, 
##     107, 65, 73, 83, 95, 112, 126, 123, 154, 164, 136, 107, 100, 
##     97, 82, 82, 43, 13, 12, -35, -46, -87, -43, 21, 15, 66, 123, 
##     96, 92, 114, 137, 116, 104, 96, 87, 66, 57, 49, 57, 83, 101, 
##     103, 107, 115, 121, 126, 122, 111, 107, 112, 113, 111, 103, 
##     41, -18, -26, -73, -85, -110, -89, -83, -73, -30, -41, 59, 
##     56, 117, 129, 99, 106, 119, 91, 96, 101, 0, -8, -40, -42, 
##     -150, -155, -94, -75, 154, 110, 96, 141, 127, -22, -30, -27, 
##     -22, -58, -65, -92, -92, -96, -86, -68, -60, -45, -42, -33, 
##     50, 58, 47, 95, 104, 122, 114, 88, 142, 116, 98, 82, 83, 
##     99, 100, 112, 125, 168, 105, 152, 146, 147, 111, 90, 107, 
##     132, 112, 119, 132, 148, 113, 124, 126, 117, 116, 139, 139, 
##     150, 145, 129, 67, 40, 21, 6, -8, 0, 33, -17, -46, -32, -28, 
##     -72, -78, -74, -47, -35, 49, -33, -13, -39, 4, 39, 50, 59, 
##     98, 101, 100, 111, 106, 121, 115, 86, 79, 76, 108, 151, 166, 
##     156, 128, 166, 169, -23, -68, 276, 256, 232, 243, 240, 235, 
##     234, 228, 241, 239, 208, 190, 197, 178, 178, 181, 184, 188, 
##     182, 178, 190, 183, 177, 183, 182, 183, 317, 311, 296, 251, 
##     208, 235, 262, 279, 286, 296, 266, 321, 320, 283, 203, 143, 
##     319, 296, 345, 329, 342, 361, 364, 350, 344, 332, 325, 305, 
##     291, 283, 207, 54, -46, 67, 91, 126, 144, 239, 280, 310, 
##     322, 312, 244, 146, 80, 44, 16, -55, -63, -44, -27, 62, 177, 
##     250, 249, 298, 288, 306, 330, 335, 341, 339, 20, 59, 96, 
##     160, 259, 263, 308, 348, 307, 302, 287, 275, 276, 276, 296, 
##     306, 328, 285, 278, 269, 270, 271, 278, 345, 315, 323, 260, 
##     242, 182, 107, 292, 305, 336, 352, 317, 259, 252, 312, 292, 
##     272, 295, 349, 308, 315, 297, 280, 299, 336, 338, 278, 272, 
##     284, 268, 303, 333, 320, 247, 257, 225, 172, 133, 38, 116, 
##     120, 181, 206, 226, 300, 362, 327, -22, -87, -106, -138, 
##     -111, -39, -15, -2, 19, 49, 122, 178, 211, 267, 413, 397, 
##     372, 344, 344, 316, 267, 271, 260, 260, 271, 279, 266, 256, 
##     251, 261, 272, -164, -161, -26, -23, 55, 111, 275, 257, 306, 
##     343, 346, 343, 275, 210, 191, 88, 36, -95, -137, -243, -122, 
##     -79, -62, 18, 79, 140, 291, 350, 357, 373, 356, 351, 344, 
##     333, 313, 197, 128, 78, 50, 32, 325, 316, 282, 267, 251, 
##     189, 64, -52, -254, -212, -175, -138, -48, 25, 125, 107, 
##     172, 193, 303, 328, 358, 352, 383, 371, 371, 353, 340, 339, 
##     340, 310, -2, -49, -65, -117, -132, -184, -239, -235, -190, 
##     -164, -136, -69, -55, -17, 284, 323, 340, 346, 320, 322, 
##     300, 299, 267, 243, 231, 183, 36, -4, -28, -29, 203, 303, 
##     284, 294, 312, 297, 298, 272, 269, 260, 261, 265, 268, 277, 
##     273, 282, 285, 318, 315, 323, 258, 263, 300, 295, 285, 289, 
##     299, 274, 281, 286, 284, 275, 269, 258, 248, 247, 272, 299, 
##     305, 306, 364, 324, 326, 300, 116, 129, 142, 155, 185, 196, 
##     186, 168, 156, -22, -123, -205, 21, 90, 156, 170, 169, 309, 
##     223, 204, 212, 215, 220, 226, 232, -61, 154, 196, 209, 187, 
##     223, 237, 261, 269, 238, 267, 263, 270, 283, 269, 275, 233, 
##     120, 82, 54, -32, -198, -151, -107, 54, 76, 59, 216, 221, 
##     239, 226, 213, 233, 259, 264, 279, 255, 244, 238, 212, 185, 
##     146, 11, -72, -105, 278, 259, 215, 153, 131, 131, 90, 75, 
##     -43, -100, -125, -159, -204, -202, -124, -90, -77, -52, 213, 
##     214, 220, 234, 224, 223, 231, 231, 236, 247, 247, 263, 235, 
##     223, 213, 192, 132, 91, 99, 271, 268, 241, 247, 240, 244, 
##     206, 102, 94, 47, 26, -28, -56, -244, -210, -176, -86, -46, 
##     8, 46, 54, 177, 193, 232, 259, 214, 191, 223, 211, 215, 214, 
##     246, 229, 213, 202, 199, 188, -143, -189, -223, -165, -148, 
##     -123, -83, 40, 174, 268, 260, 254, 257, 234, 246, 266, 254, 
##     159, 131, 66, -34, -51, -93, -241, -225, -81, -49, 99, 104, 
##     79, 31, -84, -122, -152, -160, -152, -280, -338, -276, 82, 
##     65, 35, -44, -71, -95, -105, -142, -256, -266, -199, -194, 
##     -178, -155, -149, -121, -116, -61, -32, 34, 24, 50, 76, 72, 
##     100, 114, 102, 116, 182, 167, 114, 127, -10, -65, -72, -115, 
##     -152, -179, -192, -205, -252, -308, -294, -233, -246, -227, 
##     -207, -90, -79, -82, -54, 63, 80, 64, 33, 73, 84, 109, 110, 
##     132, 143, 133, 137, 147, 150, 149, 146, 141, 133, 101, 51, 
##     -59, -74, -100, -107, -139, -149, -223, -248, -310, -307, 
##     -258, -256, -233, -102, -54, -17, -23, -34, 46, 64, 75, 86, 
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##     -81, -99, -107, -141, -150, -152, -293, -292, -267, -261, 
##     -251, -88, -80, 6, -15, 72, 115, 154, 159, 165, 166, 143, 
##     132, 92, 28, 17, 3, -237, -188, -175, -98, -63, 72, 117, 
##     122, 93, 123, 197, 185, 156, 118, 136, 120, 107, 103, 79, 
##     -98, -121, -149, -190, -173, -162, -161, -228, -243, -241, 
##     -262, -297, -307, -320, -294, -224, -191, -181, -187, -68, 
##     10, -26, 53, 224, 150, 30, -22, -64, 3, 42, 141, 156, 250, 
##     290, 306, 323, 332, 338, 323, 297, 277, 292, 307, 314, 318, 
##     349, 351, 355, 353, 220, 123, 89, -51, -73, -80, -87, -69, 
##     -9, 149, 195, 246, 279, 309, 297, 310, 324, 319, 306, 297, 
##     297, 264, 266, 263, 260, 256, 255, 255, 255, 272, 314, 317, 
##     127, 244, 357, 362, 354, 411, 358, 331, 305, 299, 303, 356, 
##     404, 410, 395, 350, 276, 214, 177, 127, 99, 48, -111, -288, 
##     -296, -258, -150, 170, 210, 271, 360, 355, 362, 388, 369, 
##     360, 355, 374, 296, 305, 368, 384, 401, 404, 405, 428, 426, 
##     392, 276, 219, 168, 139, 107, 85, -163, -324, -361, -228, 
##     -211, 72, 146, 359, 370, 362, 390, 384, 304, 295, 299, 359, 
##     410, 423, 434, 398, 381, 309, 230, 194, 92, 67, -163, -232, 
##     -113, -37, 19, 178, 318, 320, 370, 360, 353, 344, 333, 266, 
##     283, 299, 339, 381, 390, 353, 291, 213, 180, 95, -196, -341, 
##     -331, -229, -161, -89, 185, 207, 271, 360, 352, 366, 374, 
##     364, 325, 294, 276, 301, 308, 383, 424, 387, 336, 301, 202, 
##     183, 59, -10, -39, -104, -151, -181, -222, -267, -320, -198, 
##     -190, -188, -59, -44, 27, 98, 188, 240, 262, 355, 358, 333, 
##     385, 338, 318, 325, 323, 348, 347, 396, 410, 413, 418, 428, 
##     382, 349, 312, 178, 116, 44, -54, -69, -201, -226, -310, 
##     -194, -158, -140, -137, -134, -101, 2, 117, 197, 289, 303, 
##     329, 339, 347, 376, 358, 298, 289, 339, 362, 401, -110, 86, 
##     104, 238, 275, 291, 302, 293, 325, 321, 337, -83, -4, 52, 
##     307, 339, 332, 335, 373, 400, 415, 402, 381, 235, 98, 45, 
##     35, 8, -64, -129, -146, -126, 19, 116, 111, 187, 198, 272, 
##     309, 288, 370, 352, 344, 372, 353, 348, 337, 298, 299, 262, 
##     255, 262, 254, 258, 259, 264, 261, 267, 279, 274, 276, 270, 
##     279, 275, 279, 283, 301, 314, 331, 303, 231, 203, 183, 172, 
##     110, 72, -62, -88, -96, -128, -198, -231, -227, -233, -98, 
##     -78, 8, 85, 144, 262, 299, 303, 292, 273, 265, 256, 224, 
##     204, 135, 121, -2, -35, -75, -104, -136, -225, -234, -224, 
##     -139, -70, 19, 29, 130, 160, 191, 179, 235, 343, 335, 341, 
##     339, 336, 312, 295, 288, 266, 255, 236, 232, 85, -123, -145, 
##     -233, -118, 39, 42, 48, 120, 297, 362, 365, 384, 388, 377, 
##     386, 395, 349, 347, 342, 293, 157, 138, 126, 87, 33, -5, 
##     -41, -190, -235, -173, -141, -78, -69, 161, 98, 72, -54, 
##     -71, -94, -99, -109, -169, -240, -256, -250, -162, -41, 93, 
##     96, 136, 243, 287, 301, 304, 313, 304, 286, 278, 202, 175, 
##     51, -142, -193, -206, 242, 312, 366, 89, -111, -241, -224, 
##     -196, -158, 67, 208, 312, 333, 398, 280, 300, 325, 289, 289, 
##     224, 91, 51, 22, -69, -59, -48, 1, 51, 135, 147, 276, 294, 
##     416, 337, 237, 285, 310, 342, 316, 146, 61, 44, 24, -160, 
##     -227, 109, 160, 191, 198, 257, 351, 365, 290, 350, 291, 243, 
##     289, 283, 304, 306, 297, 350, 195, 170, 154, 49, 49, 49, 
##     6, -69, -122, -262, -265, 238, 216, 142, 125, 101, -184, 
##     -299, -36, 10, 103, 132, 217, 229, 249, 342, 356, 343, 317, 
##     350, 319, 273, 203, -102, -255, -267, -183, -129, -75, 17, 
##     134, 256, 320, 293, 335, 330, 97, 62, 41, -45, -107, -131, 
##     -205, -205, -205, -198, -35, 36, 242, 281, 314, 318, 305, 
##     265, 177, 157, 62, 37, -181, -116, -78, -63, -57, 93, 93, 
##     135, 217, 231, 329, 357, 379, 344, 334, 330, 320, 43, 1, 
##     -144, -217, 236, 232, 234, 240, 227, 229, 230, 228, 242, 
##     235, 224, 233, 232, 229, 230, 234, 235, 239, 242, 214, 230, 
##     220, 242, 235, 221, 245, 231, 228, 225, 231, 224, 225, 233, 
##     232, 232, 227, 224, 230, 223, 233, 229, 231, 234, 239, 225, 
##     232, 234, 231, 221, 226, 224, 226, 230, 224, 229, 224, 226, 
##     233, 244, 248, 259, 260, 270, 269, 278, 290, 286, 288, 286, 
##     280, 269, 230, 196, 211, 211, 223, 232, 259, 241, 247, 246, 
##     247, 231, 239, 247, 253, 244, 237, 238, 249, 241, 239, 235, 
##     302, 326, 346, 396, 456, 461, 474, 474, 433, 445, 389, 347, 
##     319, 334, 375, 439, 428, 483, 499, 448, 400, 406, 393, 370, 
##     398, 412, 421, 432, 389, 354, 361, 315, 303, 324, 336, 326, 
##     323, 321, 323, 312, 368, 439, 428, 476, 470, 447, 442, 429, 
##     398, 438, 426, 414, 407, 386, 368, 366, 332, 340, 337, 293, 
##     328, 338, 428, 460, 461, 446, 445, 440, 423, 411, 394, 375, 
##     381, 394, 340, 315, 406, 446, 438, 418, 459, 451, 378, 363, 
##     397, 381, 331, 345, 359, 397, 409, 411, 411, 414, 416, 410, 
##     412, 412, 416, 415, 399, 388, 437, 436, 428, 57, 58, 81, 
##     86, 109, 114, 129, 150, 163, 216, 340, 434, 434, 410, 438, 
##     440, 433, 448, 435, 462, 474, 474, 455, 465, 473, 180, 145, 
##     126, 116, 99, 82, 76, 137, 142, 177, 223, 354, 351, 372, 
##     450, 485, 459, 460, 475, 497, 525, 386, 389, 388, 260, 241, 
##     229, 188, 177, 150, 139, 207, 204, 205, 201, 196, 230, 327, 
##     388, 382, 428, 493, 477, 471, 484, 482, 506, 434, 437, 472, 
##     496, 441, 350, 337, 325, 286, 275, 268, 479, 471, 464, 215, 
##     199, 167, 157, 122, 119, 127, 147, 170, 203, 201, 196, 200, 
##     282, 292, 320, 366, 421, 520, 582, 579, 479, 424, 370, 354, 
##     232, 157, 100, 314, 314, 306, 309, 312, 314, 312, 299, 303, 
##     306, 311, 333, 346, 314, 321, 331, 324, 319, 315, 311, 298, 
##     283, 280, 299, 311, 315, 338, 352, 356, 365, 388, 369, 362, 
##     341, 336, 336, 385, 375, 454, 463, 467, 491, 462, 433, 434, 
##     360, 403, 400, 402, 408, 420, 453, 461, 396, 372, 390, 416, 
##     410, 391, 374, 366, 331, 336, 265, 257, 256, 261, 287, 381, 
##     382, 372, 368, 367, 365, 353, 341, 417, 434, 441, 122, 104, 
##     143, 153, 44, 39, 40, -78, -80, -121, -83, -53, -43, -7, 
##     9, 118, 115, 126, 164, 134, 128, 125, 127, 121, 125, 128, 
##     115, 107, 78, 61, 30, -47, -83, -12, 1, -46, -52, 41, 43, 
##     40, 90, 89, 124, 124, 146, 123, 115, 113, 106, 109, 95, 74, 
##     76, 71, 68, 72, 105, 120, 129, 131, 121, 163, 171, 167, 152, 
##     72, 25, 32, 18, 10, -26, -30, -29, -16, -17, -27, -45, -52, 
##     -51, -58, -37, -24, 13, 4, 116, 113, 117, 115, 134, 133, 
##     121, 178, 171, 158, 141, 89, 62, 57, 54, 47, 41, 22, -1, 
##     1, -64, -55, 167, 163, 166, 166, 173, 177, 264, 190, 147, 
##     115, 94, 34, -7, -15, 4, 10, 30, 50, 54, 79, 4, -95, -157, 
##     -194, -216, -201, -170, -285, -351, -263, -265, -260, -258, 
##     -110, -135, -175, -181, -190, -200, -204, -210, -248, -239, 
##     -254, -332, -303, -290, -280, -272, -254, -250, -236, -158, 
##     -122, -86, -56, 148, 164, 133, 118, 120, 8, -239, -211, -206, 
##     -198, -175, -62, 7, 17, 62, 71, 112, 86, 116, 105, 139, 186, 
##     183, 153, 123, 94, 17, 20, 6, -42, -64, -103, -82, -71, 152, 
##     7, 99, 103, 112, 146, 102, 98, 145, 138, 85, 65, 71, 80, 
##     119, 120, 120, 37, 5, 27, 47, 53, 111, 115, 94, 118, 109, 
##     136, 125, 139, 120, 107, 99, 282, 279, 267, 248, 238, 237, 
##     243, 242, 243, 242, -205, -141, 0, 27, 137, 157, 184, 194, 
##     222, 219, 338, 349, 310, 272, 237, 211, 0, 264, 307, 279, 
##     328, 247, 253, 260, 162, 72, 71, 51, 14, -85, -225, -275, 
##     -257, -257, -236, -236, 52, 120, 225, 251, 287, 318, 389, 
##     350, 315, 284, -59, -81, -351, -323, -280, 103, 225, 312, 
##     335, 385, 373, 357, 310, 298, 292, 301, 302, 306, 331, 358, 
##     387, 398, 415, 412, 375, 412, 412, 385, 340, 312, 299, 153, 
##     106, 57, 20, -13, -175, -296, -269, -231, -215, -157, 97, 
##     181, 272, 283, 315, 345, 362, 372, 382, 396, 345, 316, 294, 
##     281, 313, 347, 332, 323, 300, 282, 242, 150, 48, -132, -276, 
##     -265, -143, -125, -102, -74, 39, 17, -217, -277, -163, -132, 
##     -106, -35, 47, 120, 158, 199, 311, 284, -255, -131, -111, 
##     -59, 110, 152, 200, 244, 302, 304, 288, 293, 300, 275, 185, 
##     185, 173, 112, 37, -176, -293, 85, -21, -22, -17, -4, 68, 
##     134, 154, 156, 224, 225, 233, 224, 240, 324, -78, -103, -161, 
##     -176, -183, -225, -248, -258, -179, -159, -129, -74, 4, 126, 
##     202, 346, 344, -46, -12, 13, 65, 81, 136, 162, 216, 266, 
##     328, 310, 266, 229, 163, 164, 182, 195, 214, 268, 224, 215, 
##     197, 193, 216, 216, 212, 225, 230, 240, 151, 153, 145, 178, 
##     175, 170, 134, 139, 152, 140, 139, 167, -175, -185, -180, 
##     -173, -161, -83, 3, 70, 170, 206, 242, 260, 257, 275, 294, 
##     372, 403, 492, 455, 454, 477, 431, 386, 444, 422, 470, 530, 
##     521, 534, 550, 530, 480, 456, 394, 317, 192, 39, -11, -37, 
##     -80, -88, -136, -133, -90, -66, -58, -48, -35, -27, -5, 14, 
##     170, 249, 282, 294, 419, 407, 459, 483, 443, 440, 448, 495, 
##     497, 499, 506, 527, 540, 510, 428, 390, 369, 350, 311, 270, 
##     238, 215, 181, 149, 105, 53, 0, -39, -72, -143, -148, -110, 
##     -75, -52, -22, -6, 5, 69, 99, 122, 428, 495, 506, 496, 484, 
##     533, 245, 262, 298, 339, 367, 344, 330, 306, 306, 307, 285, 
##     278, 277, 273, 267, 271, 271, 279, 284, 270, 269, 278, 282, 
##     282, 275, 309, 298, 295, 304, 311, 346, 372, 377, 376, 299, 
##     287, 85, 71, 47, -108, -136, -151, -164, -175, -214, -225, 
##     -262, -213, -233, -239, -235, -212, -174, -155, -95, -21, 
##     248, 314, 389, 418, 407, 373, 366, 366, 394, 447, 441, 388, 
##     298, 157, 116, -34, -59, -80, -98, -133, -279, -202, -202, 
##     -243, -260, -236, -212, -189, -28, 8, 101, 159, 181, 319, 
##     338, 405, 401, 377, 385, 396, 382, -178, -176, 310, 430, 
##     452, 408, 396, 457, -12, -228, -252, -178, -196, -186, -139, 
##     -90, -62, 68, 126, 257, 264, 312, 319, 312, 340, 350, 345, 
##     343, 333, 330, 290, 198, 44, -84, -115, -149, -278, -340, 
##     -277, -232, -192, -209, -217, -145, -105, -89, -70, -42, 
##     -107, -183, -242, -336, -286, -279, -241, -238, -227, -198, 
##     -167, -10, 24, 129, 226, 267, 345, 364, 396, 387, 393, 399, 
##     430, 376, -39, -64, -221, -310, -290, -182, -151, -54, 7, 
##     347, 361, 371, 385, 391, 432, 443, 438, 343, 335, 216, 100, 
##     78, -274, -309, -380, -249, -220, -129, -87, -53, -28, 25, 
##     86, 166, 176, 275, 356, 330, 332, 350, 364, 392, 404, 387, 
##     343, 330, 302, 288, 165, 59, -10, -40, -154, -366, -340, 
##     -308, -227, -201, -195, -173, -145, -107, -93, -78, -45, 
##     64, 100, 267, 355, 354, 384, 392, 422, 413, 379, 297, 266, 
##     258, 239, 238, 247, 265, 260, 260, 267, 271, 270, 267, 278, 
##     286, 305, 292, 285, 293, 291, 291, 278, 269, 251, 267, 271, 
##     261, 264, 252, 250, 253, 268, 275, 270, 265, 264, 276, 213, 
##     191, 229, 267, 284, 272, 287, 283, 278, 272, 275, 233, 99, 
##     -99, -201, -134, -56, 51, 67, 195, 305, 309, 237, 186, 241, 
##     253, 196, 238, 276, 267, 323, 324, 287, 277, 280, 308, 345, 
##     365, 397, 453, 455, 447, 509, 398, 372, 242, 215, -390, -245, 
##     -159, -177, -123, -95, 25, 349, 350, 355, 415, 477, 380, 
##     357, 329, 327, 378, 398, 417, 274, 226, 224, 29, -51, -162, 
##     -632, -173, -123, -107, 283, 368, 344, 339, 103, 81, 175, 
##     148, 140, 136, 160, 163, 161, 94, 22, -58, -67, -71, -73, 
##     -74, -92, -151, -165, -217, -230, -234, -228, -207, -267, 
##     -240, -170, -97, -46, -51, 91, 66, 109, 132, 85, 86, 63, 
##     84, 106, 183, 180, 172, 102, 112, 129, -182, -201, -215, 
##     -245, -238, -320, -343, -379, -291, -275, -236, -224, -212, 
##     -197, -156, -87, -108, -98, -43, -74, 13, 86, 90, 170, 153, 
##     110, 116, 118, 116, 96, 79, 60, 111, 99, 71, 57, 66, 78, 
##     71, 69, 68, 54, 52, 50, 41, 39, 99, 190, 220, 224, 207, 167, 
##     167, 183, 196, 181, 169, 112, 8, -108, -140, -186, -236, 
##     -392, -392, -395, -351, -342, -324, -285, -248, -162, -106, 
##     -47, -3, 53, 101, 141, 129, 119, 142, 133, 97, 95, 114, 116, 
##     127, 163, 165, 212, 205, 228, 121, -48, -89, -67, -81, -80, 
##     -156, -193, -240, -295, -303, -300, -278, -255, -226, -89, 
##     -23, 55, 65, 148, 157, 150, 149, 143, 165, 162, 163, 156, 
##     164, 50, 14, -42, -103, -105, -110, -210, -337, -308, -295, 
##     -271, -251, -213, -139, -44, -21, -9, 29, 112, 155, 135, 
##     152, 179, 177, 145, 172, 192, 123, 164, 177, 126, 133, -13, 
##     -79, -96, -144, -158, -166, -220, -289, -299, -316, -308, 
##     -289, -279, -223, -175, -117, -91, -70, -42, -22, -12, 15, 
##     135, 138, 152, 178, 165, 140, 130, 138, 144, 130, 139, 124, 
##     242, 221, 218, 227, -31, -113, -124, -136, -138, -183, -214, 
##     -225, -303, -361, -378, -388, -383, -379, -374, -336, -336, 
##     -325, -298, -289, -290, -285, -270, -256, 86, 138, 159, 168, 
##     164, 171, 144, 157, 158, 24, 6, -87, -141, -185, -219, -230, 
##     -290, -360, -380, -376, -356, -277, -273, -262, -245, -231, 
##     -212, -76, 32, 53, 62, 90, 76, 129, 202, 210, 192, 182, 190, 
##     187, 166, 167, 182, 189, 181, 167, 161, 176, 48, 15, -53, 
##     -120, -121, -116, -110, -172, -215, -256, -384, -370, -351, 
##     -325, -321, -279, -280, -211, -194, -134, 90, 86, 116, 123, 
##     164, 169, 132, 122, 125, 132, 180, 223, 214, 207, 156, 169, 
##     191, 212, -16, -146, -147, -136, -220, -272, -301, -406, 
##     -411, -412, -365, -343, -329, -314, -252, -239, -232, -222, 
##     -210, -164, -10, 112, 164, 154, 111, 183, 163, 109, 149, 
##     163, 186, 153, 156, 194, 175, 162, 145, 47, 47, -62, -90, 
##     -141, -181, -351, -377, -316, -295, -277, -264, -260, -245, 
##     -42, -21, 146, 139, 139, 132, 135, 144, 166, 175, 356, 308, 
##     284, 283, 287, 260, 252, 236, 230, 225, 220, 217, 229, 249, 
##     249, 243, 239, 241, 240, 239, 272, 279, 278, 324, 325, 344, 
##     387, 386, 381, 213, 188, -167, -201, -232, -276, -167, -105, 
##     -97, -77, 177, 214, 236, 227, 214, 177, 24, -34, -187, -220, 
##     234, -95, -145, -211, -297, -134, 13, 72, 86, 119, 234, 277, 
##     281, 286, 275, 262, 147, 130, 103, 31, 19, -29, -63, -100, 
##     -142, -216, -301, -338, -229, -8, 23, 72, 210, 280, 278, 
##     289, 294, 293, 293, 219, 200, -11, -137, -197, -297, -210, 
##     -204, -195, -174, -127, -69, -49, 19, 210, 259, 293, 324, 
##     368, 373, 391, 400, 396, 369, 360, 209, 152, 112, -89, -316, 
##     -194, -155, -102, 6, 51, 111, 129, 150, 185, 220, 260, 323, 
##     351, 350, 346, 338, 283, 161, 99, 80, 33, 1, -57, -104, -121, 
##     -228, -315, -267, -242, -156, -131, -45, -26, 51, 91, 181, 
##     193, 286, 310, 311, 293, 170, 141, 308, 306, 301, 302, 300, 
##     285, 238, 166, 97, -21, -47, -99, -137, -163, -252, -232, 
##     -153, -145, -126, -90, -69, 31, 193, 218, 227, 294, 295, 
##     317, 339, 350, 339, 328, 322, 322, 277, 259, 239, 141, 89, 
##     -135, -167, -299, -247, -196, -159, -137, 8, 138, 152, 215, 
##     237, 267, 281, 348, 348, 359, 340, 320, 286, 262, 225, 208, 
##     194, 206, 185, 180, 164, 177, 188, 189, 192, 202, 204, 194, 
##     196, 200, 197, 197, 197, 198, 198, 200, 200, 198, 201, 203, 
##     205, 182, 189, 171, 207, 188, 180, 169, 151, 244, 250, 244, 
##     236, 245, 241, 241, 245, 236, 235, 240, 241, 238, 240, 215, 
##     219, 240, 249, 251, 259, 175, 185, 185, 267, 385, 409, 444, 
##     469, 443, 383, 178, 60, -426, -62, 32, 253, 264, 297, 331, 
##     454, 385, 362, 352, 458, 448, 457, 417, 432, 411, 242, 186, 
##     17, -90, -226, -312, -419, -496, -366, -309, -195, 241, 270, 
##     362, 348, 353, 344, 330, 383, 443, 350, 236, 215, -197, -279, 
##     -365, -269, -89, 20, 109, 208, 215, 230, 212, 218, 255, 465, 
##     433, 318, 240, 259, 377, 416, 416, 431, 436, 430, 343, 305, 
##     223, 185, 158, -141, -313, -227, -227, -131, 69, 129, 160, 
##     295, 306, 266, 398, 327, 399, 407, 382, 62, -47, -151, -192, 
##     -245, -296, -315, -271, -124, 31, 213, 210, 281, 275, 399, 
##     340, 329, 363, 389, 372, 375, 352, 352, 323, 271, 193, 141, 
##     138, 18, -85, -85, -132, -176, -220, -254, -284, -264, -5, 
##     151, 134, 125, 218, 275, 370, 338, 346, 317, 284, 179, 112, 
##     -52, -352, -387, -358, -89, -64, 136, 244, 256, 260, 354, 
##     336, 324, 356, 239, 326, 292, 287, 304, 341, 373, 357, 376, 
##     365, 339, 322, 291, 175, 152, -276, -352, -348, -298, -107, 
##     -4, 83, 185, 298, 290, 345, 349, 388, 236, 290, 304, 340, 
##     264, 256, 246, 205, 153, 147, 146, 162, 171, 173, 171, 167, 
##     167, 166, 163, 172, 165, 160, 171, 173, 175, 166, 166, 160, 
##     161, 167, 159, 168, 166, 168, 159, 161, 167, 163, 483, 482, 
##     472, 486, 492, 440, 359, 299, 254, 189, 140, 181, 190, 197, 
##     210, 211, 197, 189, 181, 202, 248, 253, 321, 349, 378, 461, 
##     451, 460, 475, 478, 432, 443, 441, 450, 457, 462, 471, 486, 
##     492, 509, 488, 490, 468, 442, 377, 333, 263, 178, 94, 94, 
##     103, 127, 156, 160, 172, 207, 263, 274, 317, 369, 416, 435, 
##     456, 434, 452, 445, 463, 463, 471, 484, 484, 411, 424, 427, 
##     436, 447, 504, 536, 564, 537, 449, 105, 110, 155, 170, 176, 
##     176, 184, 315, 316, 377, 397, 427, 462, 435, 446, 452, 467, 
##     451, 437, 441, 446, 502, 530, 532, 531, 540, 532, 525, 469, 
##     451, 437, 425, 413, 406, 283, 225, 162, 155, 140, 122, 123, 
##     161, 163, 164, 162, 161, 164, 236, 263, 331, 423, 405, 409, 
##     472, 464, 460, 454, 443, 442, 443, 434, 470, 463, 509, 528, 
##     475, 453, 202, 203, 300, 382, 444, 386, 471, 487, 477, 436, 
##     439, 441, 468, 461, 459, 463, 478, 487, 425, 373, 236, 185, 
##     0, 103, 98, 93, 96, 101, 103, 108, 108, 107, 98, 91, 131, 
##     183, 273, 303, 366, 425, 446, 473, 487, 515, 505, 499, 400, 
##     392, 392, 394, 318, 310, 303, 301, 310, 321, 315, 308, 310, 
##     333, 340, 335, 331, 326, 325, 323, 329, 336, 346, 348, 342, 
##     349, 353, 347, 343, 341, 346, 362, 338, 336, 341, 339, 342, 
##     347, 355, 357, 344, 342, 345, 382, 410, 489, 553, 539, 442, 
##     376, 297, 222, 99, 61, -20, -56, -146, -155, -143, -123, 
##     -125, -113, -103, -95, -87, -45, -22, 466, 337, 339, 370, 
##     445, 541, 485, 441, 12, 145, 164, 202, 228, 232, 264, 307, 
##     383, 476, 481, 359, 359, 358, 359, 357, 357, 349, 346, 338, 
##     336, 331, 327, 327, 315, 322, 319, 397, 385, 363, 356, 349, 
##     198, 179, 99, 81, 83, 88, 113, 142, 336, 114, -200, -141, 
##     -134, -98, -42, 211, 205, 234, 282, 320, 330, 299, 330, 322, 
##     406, 302, 398, 375, 339, 344, 327, 361, 404, 406, 407, 399, 
##     394, 343, 300, 150, 123, 97, 57, -51, -102, -233, -377, -312, 
##     -254, -178, 346, 408, 368, 322, 335, 372, 330, 319, 331, 
##     354, 426, 439, 411, 338, 344, 352, 296, 188, -332, -149, 
##     -130, -107, -107, 127, 308, 435, 409, 405, 337, 346, 379, 
##     323, 310, 315, 350, 382, 350, 362, 393, 375, 374, 339, 390, 
##     361, 420, 443, 454, 448, 373, 489, 380, 356, 368, 409, 343, 
##     289, 318, 328, 329, 326, 328, 354, 354, 345, 373, 453, 470, 
##     469, 489, -20, -81, -170, -417, -448, -240, -163, -151, 148, 
##     325, 454, -266, -178, -91, 402, 408, 415, 371, 360, 284, 
##     254, 231, 256, 257, 214, 228, 215, 234, 249, 261, 238, 229, 
##     237, 248, 245, 254, 238, 230, 159, 158, 170, 161, 162, 161, 
##     162, 165, 170, 172, 152, 145, 143, 148, 149, 146, 138, 153, 
##     169, 163, 156, 165, 164, 141, 150, 150, 161, 168, 168, -249, 
##     -221, -216, -167, 38, 109, 127, 220, 129, 122, 127, 135, 
##     141, 174, 154, 137, 109, 157, 182, 185, 184, 179, 176, 176, 
##     178, 177, 175, 168, 180, 162, 166, 167, 166, 162, 345, 372, 
##     370, 383, 390, 394, 402, 104, 87, 62, -154, -232, -341, -388, 
##     362, 379, 392, 376, 326, 293, 293, 202, 170, 128, 82, -69, 
##     -135, -295, -174, -131, 83, 195, 221, 258, 247, 263, 266, 
##     252, 259, 214, 209, 204, 203, 203, 205, 196, 174, 200, 201, 
##     201, 200, 201, 201, 202, 201, 202, 201, 200, 200, 199, 202, 
##     93, 49, -106, -328, -112, -99, 7, 27, 107, 206, 240, 253, 
##     263, 272, 278, 280, 283, -202, -174, -80, -40, 24, 56, 87, 
##     148, 207, 239, 306, 259, 476, 446, 349, 380, 350, 359, 385, 
##     410, 422, 412, 353, 293, 182, 158, 142, -94, -287, -456, 
##     -393, 341, 260, 234, 231, 149, 124, 1, -157, -413, -126, 
##     -126, -99, 206, 282, 387, 414, 425, 443, 297, 207, 197, 166, 
##     89, -416, -367, -183, -126, -113, 221, 316, 369, 365, 360, 
##     237, 176, -106, -350, -304, -214, -203, -146, 87, 341, 376, 
##     354, 391, 351, 322, 320, 289, 302, 351, 348, 381, 390, 341, 
##     394, 407, 401, 393, 393, 402, 452, 309, 211, 166, -6, -107, 
##     -21, -146, -162, -264, -365, -360, -314, -288, -116, -53, 
##     148, 205, 204, 312, 104, 284, 341, 401, 447, 436, 428, 406, 
##     416, 455, 442, 418, 375, 336, 148, 360, 358, 385, 390, 385, 
##     380, 269, 183, -42, -50, -131, -155, -180, -198, -292, -310, 
##     -270, -233, -208, -210, -217, -224, 298, 505, 501, 461, 450, 
##     425, 401, 323, 307, 291, 266, 221, 33, -50, -68, -91, -141, 
##     -159), accel_forearm_z = c(-213, -214, -215, -215, -214, 
##     -215, -215, -213, -216, -216, -215, -214, -214, -214, -216, 
##     -214, -217, -216, -216, -214, -216, -214, -213, -212, -216, 
##     -216, -215, -214, -214, -215, -217, -216, -215, -214, -215, 
##     -213, -214, -215, -216, -213, -212, -214, -213, -213, -210, 
##     -213, -213, -217, -214, -213, -213, -215, -215, -212, -215, 
##     -213, -212, -213, -213, -213, -212, -214, -215, -212, -213, 
##     -214, -214, -215, -215, -213, -212, -213, -215, -216, -214, 
##     -213, -213, -216, -214, -214, -215, -213, -216, -215, -215, 
##     -213, -212, -215, -217, -214, -215, -213, -214, -211, -213, 
##     -214, -213, -214, -215, -211, -215, -198, -198, -198, -191, 
##     -192, -193, -191, -192, -195, -197, -184, -183, -186, -188, 
##     -198, -196, -192, -194, -193, -191, -188, -189, -188, -188, 
##     -187, -187, -185, -181, -184, -183, -183, -183, -184, -186, 
##     -186, -177, -177, -181, -192, -179, -179, -176, -155, -154, 
##     -155, -154, -159, -155, -158, -166, -170, -194, -203, -206, 
##     -207, -212, -215, -208, -205, -208, -211, -207, -186, -171, 
##     -158, -147, -144, -141, -143, -144, -153, -162, -180, -190, 
##     -193, -195, -197, -198, -196, -200, -193, -184, -194, -185, 
##     -188, -191, -191, -192, -192, -191, -191, -196, -196, -197, 
##     -198, -194, -192, -187, -194, -199, -194, -194, -195, -197, 
##     -193, -195, -195, -194, -196, -194, -195, -189, -188, -193, 
##     -188, -188, -189, -190, -191, -190, -191, -191, -190, -192, 
##     -192, -194, -194, -191, -191, -158, -165, -150, -181, -182, 
##     -191, -196, -228, -200, -203, -187, -145, -134, -145, -125, 
##     -133, -156, -155, -147, -166, -171, -174, -185, -180, -172, 
##     -173, -163, -159, -161, -162, -168, -175, -177, -180, -162, 
##     -164, -180, -184, -178, -193, -213, -227, -200, -201, -189, 
##     -167, -144, -154, -157, -152, -153, -152, -155, -161, -161, 
##     -167, -180, -179, -174, -172, -160, -158, -155, -153, -149, 
##     -151, -167, -172, -167, -170, -139, -130, -138, -144, -141, 
##     -146, -145, -151, -157, -161, -166, -168, -171, -163, -164, 
##     -159, -156, -137, -143, -156, -162, -159, -140, -157, -171, 
##     -190, -222, -203, -194, -191, -188, -185, -176, -174, -174, 
##     -174, -151, -122, -116, -100, -90, -120, -114, -129, -133, 
##     -149, -140, -139, -154, -171, -166, -162, -159, -162, -161, 
##     -161, -159, -141, -167, -168, -176, -188, -199, -207, -229, 
##     -215, -155, -156, -157, -159, -160, -138, -134, -158, -154, 
##     -152, -167, -167, -169, -172, -176, -187, -198, -213, -245, 
##     -165, -172, -165, -162, -163, -163, -152, -193, -170, -162, 
##     -144, -151, -140, -181, -176, -175, -195, -195, -182, -167, 
##     -166, -155, -137, -128, -133, -129, -163, -164, -163, -163, 
##     -173, -174, 26, 42, 45, 40, 34, 35, 36, 41, 44, 43, 36, 37, 
##     31, 35, 32, 32, 28, 41, 52, 51, 45, 44, 38, 37, 45, 46, 27, 
##     25, 27, 39, 41, 43, 43, 39, 30, 25, 36, 44, 45, 47, 45, 38, 
##     33, 36, 32, 30, 37, 40, 41, 42, 41, 42, 42, 42, 40, 37, 32, 
##     44, 41, 45, 46, 43, 38, 37, 31, 30, 40, 35, 35, 42, 48, 42, 
##     41, 42, 40, 40, 40, 39, 43, 39, 37, 38, 35, 39, 36, 37, 32, 
##     30, 36, 36, 38, 43, 34, 37, 43, 40, 39, 29, 32, 34, 34, 37, 
##     42, 43, 44, 36, 34, 44, 45, 41, 33, 38, 40, 40, 42, 41, 44, 
##     45, 41, 44, 34, 36, 30, 29, 40, 42, 43, 39, 29, 34, 33, 40, 
##     33, 22, 52, 52, 50, 48, 17, 11, 5, 29, 29, 25, 33, 62, 62, 
##     39, 33, 36, 37, 37, 33, 53, -216, -5, -197, -250, -286, -182, 
##     -236, -317, -295, -229, -308, -313, -265, -280, -366, -269, 
##     -44, -5, 22, 71, 50, 24, 21, 28, 35, 27, 34, -64, -100, -107, 
##     -82, -28, -24, -17, -46, -45, -58, -55, -75, -71, -38, -52, 
##     -60, -91, -68, -92, -57, -93, -44, -58, -67, -71, -96, -67, 
##     -54, -53, -83, -69, -52, -66, -64, -71, -67, -68, -71, -64, 
##     -76, -70, -67, -60, -17, -26, -6, -100, -36, -50, -32, -38, 
##     -44, -40, -25, -26, -28, -32, -34, -33, -31, -39, -29, -24, 
##     -33, -27, -28, -28, -25, -34, -17, -11, 17, 44, 48, 42, 0, 
##     -16, -44, -44, -46, -65, -69, -59, -51, -40, -43, -58, -60, 
##     -54, -68, -72, -71, -73, -75, -62, -55, -54, -59, -55, -51, 
##     -45, -50, -55, -60, -62, -61, -67, -63, -65, -59, -55, -60, 
##     -65, -75, -51, -61, -31, -40, -74, -80, -55, -52, -43, -37, 
##     6, 14, 10, 2, -5, -8, -5, -11, -1, 6, -12, -21, -21, -15, 
##     -10, -19, -12, -25, -27, -28, -23, -18, -30, -34, -36, -37, 
##     -36, -39, -43, -43, -42, -30, -20, -15, -15, -15, -18, -37, 
##     -55, -43, -43, -30, -7, 11, 8, 24, 4, -3, 20, -1, 5, 4, -21, 
##     -36, -45, -37, -17, -26, -25, -28, -36, -46, -36, -37, -40, 
##     -27, -27, -22, -22, -22, -9, -2, 21, 23, 17, 18, 16, 19, 
##     18, 19, 18, 19, 10, 13, 30, 21, 14, 37, 11, 22, 6, 30, 3, 
##     47, 26, 27, -6, -1, -44, -55, -41, -34, -24, -44, -46, -48, 
##     -48, -47, -48, -43, -41, -40, -36, -27, -15, -15, -19, -26, 
##     -19, -17, -25, -27, -41, -15, -18, -7, 1, 21, 26, 28, 40, 
##     39, 31, 15, 30, 53, 28, 27, 52, 68, 40, 32, 15, 5, 18, 1, 
##     -38, -31, -17, -28, -30, -24, -12, 0, 12, 13, 8, 3, -24, 
##     -13, -2, 30, 32, 52, 23, 11, 8, -6, -11, -28, -38, -22, -35, 
##     -39, -44, -40, -3, 3, -16, -16, -22, -37, -46, -42, -30, 
##     -31, -23, -2, 16, 34, 26, 46, 42, 37, 29, 25, 29, 28, 36, 
##     31, 28, 26, 22, 23, 17, 7, 6, 46, 38, 47, 51, 57, 52, 41, 
##     30, 34, 30, 16, 9, 3, 0, 3, 4, 41, 42, 28, 28, 33, 33, 29, 
##     39, 41, 34, 25, 25, 29, 31, 30, 31, 22, 20, 23, 23, 38, 33, 
##     25, 211, 216, 214, 211, 212, 214, 211, 214, 215, 213, 214, 
##     211, 213, 217, 215, 214, 215, 213, 214, 211, 214, 214, 213, 
##     214, 214, 216, 212, 214, 214, 213, 215, 214, 212, 212, 211, 
##     215, 210, 214, 213, 215, 214, 214, 215, 212, 212, 213, 213, 
##     215, 215, 214, 212, 212, 214, 215, 216, 218, 216, 214, 210, 
##     213, 213, 211, 212, 215, 214, 212, 211, 210, 210, 206, 202, 
##     198, 179, 202, 200, 192, 191, 185, 135, 135, 129, 138, 138, 
##     133, 138, 146, 146, 140, 146, 158, 150, 158, 168, 158, 163, 
##     179, 177, 187, 196, 189, 193, 194, 199, 205, 205, 204, 199, 
##     204, 212, 212, 207, 206, 205, 209, 205, 204, 198, 183, 182, 
##     184, 191, 187, 198, 193, 198, 198, 184, 174, 170, 170, 170, 
##     178, 174, 136, 192, 204, 204, 199, 205, 205, 202, 193, 192, 
##     193, 190, 191, 193, 182, 186, 190, 180, 177, 171, 172, 156, 
##     153, 140, 137, 136, 142, 153, 141, 143, 142, 176, 162, 174, 
##     158, 153, 201, 195, 196, 197, 182, 183, 183, 179, 183, 182, 
##     176, 191, 189, 191, 197, 155, 146, 156, 162, 170, 170, 166, 
##     169, 149, 169, 149, 145, 141, 122, 154, 165, 167, 146, 156, 
##     152, 145, 138, 144, 172, 189, 196, 191, 198, 199, 197, 190, 
##     193, 197, 184, 189, 200, 197, 193, 193, 187, 175, 165, 165, 
##     157, 159, 165, 173, 174, 173, 163, 156, 164, 148, 144, 150, 
##     165, 175, 182, 189, 190, 187, 186, 192, 196, 197, 193, 194, 
##     190, 193, 189, 188, 189, 187, 186, 182, 181, 175, 176, 171, 
##     161, 162, 166, 175, 186, 189, 175, 173, 170, 175, 165, 163, 
##     181, 178, 184, 178, 173, 179, 167, 161, 208, 199, 195, 188, 
##     176, 175, 173, 176, 182, 188, 196, 184, 185, 181, 173, 168, 
##     172, 177, 177, 194, 175, 163, 142, 163, 166, 192, 201, 205, 
##     203, 202, 203, 193, 190, 180, 178, 179, 170, 158, 147, 151, 
##     162, 158, 164, 161, 162, 158, 163, 161, 168, 180, 192, 192, 
##     190, 133, 104, 119, 122, 127, 152, 171, 182, 186, 188, 198, 
##     205, 206, 206, 198, 151, 148, 110, 106, 105, 162, 174, 171, 
##     170, 176, 174, 173, 162, 146, 148, 154, 155, 145, 154, 162, 
##     180, 187, -197, -195, -213, -191, -186, -191, -197, -197, 
##     -198, -205, -198, -195, -193, -206, -189, -191, -194, -204, 
##     -203, -201, -195, -200, -200, -200, -200, -200, -199, -199, 
##     -200, -200, -199, -200, -202, -201, -202, -200, -200, -200, 
##     -202, -200, -201, -202, -202, -199, -199, -198, -200, -199, 
##     -201, -201, -203, -199, -197, -199, -202, -202, -204, -199, 
##     -199, -197, -199, -202, -202, -201, -202, -203, -206, -204, 
##     -203, -201, -202, -202, -200, -201, -205, -202, -204, -202, 
##     -200, -202, -205, -206, -205, -199, -197, -199, -196, -201, 
##     -203, -201, -203, -204, -204, -204, -205, -205, -203, -201, 
##     -203, -204, -202, -201, -201, -204, -202, -204, -202, -201, 
##     -202, -200, -200, -200, -200, -202, -202, -203, -201, -197, 
##     -199, -200, -199, -208, -206, -206, -200, -200, -201, -201, 
##     -200, -198, -199, -201, -208, -207, -199, -198, -204, -201, 
##     -202, -199, -207, -200, -198, -204, -205, -204, -204, -203, 
##     -201, -204, -204, -186, -186, -186, -199, -198, -199, -204, 
##     -204, -193, -189, -192, -195, -199, -200, -200, -198, -196, 
##     -195, -194, -194, -199, -200, -196, -196, -195, -194, -197, 
##     -195, -195, -196, -201, -202, -203, -201, -197, -195, -194, 
##     -193, -193, -191, -194, -200, -203, -204, -202, -200, -188, 
##     -208, -206, -208, -207, -197, -196, -196, -199, -202, -204, 
##     -198, -197, -200, -199, -216, -213, -214, -213, -214, -214, 
##     -216, -213, -214, -213, -215, -210, -213, -215, -213, -213, 
##     -216, -215, -215, -212, -214, -217, -216, -215, -216, -214, 
##     -213, -213, -214, -214, -216, -215, -214, -214, -215, -215, 
##     -217, -215, -215, -215, -213, -213, -214, -214, -212, -215, 
##     -216, -214, -213, -215, -212, -214, -215, -213, -214, -213, 
##     -214, -214, -215, -214, -212, -211, -213, -213, -214, -211, 
##     -214, -215, -217, -213, -214, -213, -213, -216, -217, -217, 
##     -218, -217, -214, -218, -217, -213, -215, -217, -215, -215, 
##     -215, -217, -215, -215, -217, -216, -216, -217, -214, -218, 
##     -218, -216, -215, -216, -219, -217, -218, -217, -218, -216, 
##     -218, -215, -217, -217, -215, -214, -215, -214, -216, -217, 
##     -218, -217, -215, -212, -207, -209, -220, -222, -224, -225, 
##     -222, -227, -225, -223, -224, -228, -226, -211, -209, -206, 
##     -206, -188, -187, -168, -164, -169, -176, -194, -194, -179, 
##     -169, -175, -174, -186, -184, -186, -184, -176, -169, -184, 
##     -190, -174, -191, -183, -175, -171, -196, -192, -205, -213, 
##     -209, -213, -205, -206, -209, -208, -211, -207, -212, -211, 
##     -209, -202, -204, -202, -189, -197, -187, -168, -176, -181, 
##     -202, -189, -184, -176, -175, -171, -176, -173, -159, -158, 
##     -163, -167, -156, -152, -150, -152, -164, -169, -211, -202, 
##     -193, -214, -209, -194, -192, -189, -203, -187, -178, -177, 
##     -176, -201, -209, -218, -173, -184, -195, -186, -157, -159, 
##     -163, -163, -149, -145, -171, -187, -199, -178, -172, -223, 
##     -210, -196, -187, -181, -169, -157, -157, -181, -178, -160, 
##     -160, -167, -164, -173, -198, -226, -247, -181, -203, -179, 
##     -158, -153, -170, -162, -173, -176, -147, -203, -204, -183, 
##     -175, -160, -175, -173, -151, -173, -201, -180, -192, -212, 
##     -209, -213, -219, -235, -233, -223, -211, -211, -212, -211, 
##     -198, -200, -197, -170, -165, -174, -173, -169, -166, -168, 
##     -196, -217, -192, -172, -162, -171, -178, -189, -167, -160, 
##     -185, -168, -154, -163, -159, -167, -211, -207, -200, -201, 
##     -203, -208, -205, -220, -227, -181, -201, -204, -194, -185, 
##     -176, -170, -170, -177, -163, -169, -206, -188, -165, -152, 
##     -191, -184, -175, -162, -177, -157, -173, -155, -165, -169, 
##     -167, -173, -182, -193, -208, -218, -216, -214, -212, -215, 
##     -213, -213, -216, -218, -221, -207, -216, -178, -168, -178, 
##     -190, -211, -230, -184, -157, -173, -185, -203, -177, -195, 
##     -198, -204, -201, -197, -201, -204, -200, -197, -205, -206, 
##     -196, -200, -203, -203, -199, -195, -203, -203, -205, -203, 
##     -199, -197, -204, -202, -199, -191, -192, -192, -205, -205, 
##     -204, -201, -199, -192, -194, -196, -201, -200, -200, -197, 
##     -196, -200, -200, -197, -198, -199, -200, -200, -197, -199, 
##     -200, -200, -200, -198, -196, -197, -199, -202, -199, -199, 
##     -200, -199, -200, -199, -199, -202, -205, -196, -196, -196, 
##     -200, -200, -202, -199, -198, -199, -198, -200, -200, -199, 
##     -202, -198, -200, -201, -197, -198, -199, -199, -201, -202, 
##     -197, -201, -200, -200, -200, -201, -201, -204, -205, -203, 
##     -200, -197, -195, -203, -203, -201, -203, -203, -205, -204, 
##     -204, -202, -199, -196, -203, -195, -202, -199, -205, -204, 
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##     -196, -206, -206, -203, -203, -201, -202, -201, -203, -204, 
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##     -22, -21, -17, -14, 10, 8, 9, -2, -15, -6, -9, -7, -7, -4, 
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##     33, 35, 15, 5, 44, 85, 75, 61, 42, 32, 53, 64, 75, 84, 78, 
##     43, 23, 4, 9, 15, 19, 23, 26, 30, 30, 40, 37, 47, 38, 51, 
##     81, 59, 73, 32, 38, 47, 56, 59, 41, 15, 14, 21, 15, 15, 32, 
##     36, 71, 55, 41, 57, 62, 56, 25, 60, 57, 50, 50, 64, 44, 16, 
##     24, 3, -25, 29, 27, 34, 50, 51, 59, 53, 60, 62, 67, 49, 39, 
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##     53, 50, 13, 12, 13, 13, 12, 22, 38, 58, 67, 65, 68, 10, 33, 
##     34, 29, 14, 5, 15, 7, 9, 0, 12, 15, 35, 62, 74, 74, 69, 47, 
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##     54, 54, 43, 55, 52, 43, 3, 5, 2, -1, -1, -1, 52, 35, -42, 
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##     25, 41, 49, 60, 68, 61, 34, 38, 51, 46, 30, 37, 35, 39, 45, 
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##     -27, -30, -29, -28, -19, -18, -9, -7, -16, -8, -7, 13, 12, 
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##     23, 21, 15, 14, 17, 34, 39, 27, 42, 36, 16, 25, 20, 24, 28, 
##     34, 15, 20, 21, 12, 11, 12, 9, 9, -32, -23, 14, 27, 11, 14, 
##     -2, -3, 8, 12, 11, 12, 2, 2, 1, 3, 8, 8, 8, 17, 23, 26, 38, 
##     32, 32, 35, -14, -1, -4, 0, -5, 1, 9, 0, -3, -7, -8, 1, -9, 
##     -10, -11, -13, -10, -8, -6, -6, -8, -1, 4, 7, 9, 8, -6, -10, 
##     -4, -13, -9, -3, 9, 13, 17, 17, 15, -3, -2, -3, -4, -2, 1, 
##     6, -9, -6, -5, 1, -4, -3, -204, -204, -204, -200, -202, -203, 
##     -202, -203, -200, -201, -200, -204, -203, -201, -204, -200, 
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##     -198, -194, -199, -202, -212, -215, -222, -233, -200, -192, 
##     167, 169, 183, 168, 170, 189, 211, 177, 174, 176, 177, 171, 
##     152, 145, 149, 145, 158, 156, 150, 146, 175, 176, 185, 189, 
##     193, 196, 196, 194, 198, 182, 177, 176, 176, 168, 167, 177, 
##     180, 162, 198, 225, 227, 224, 214, 205, 203, 200, 199, 196, 
##     200, 203, 198, 167, 175, 192, 163, 178, 166, 160, 171, 165, 
##     166, 177, 170, 179, 200, 197, 213, 212, 213, 211, 212, 211, 
##     213, 213, 211, 211, 212, 210, 215, 216, 211, 211, 214, 211, 
##     216, 215, 202, 209, 240, 234, -338, 217, 204, 199, 160, 195, 
##     213, 222, 231, 231, 217, 213, 211, 210, 209, 209, 211, 214, 
##     214, 214, 215, 215, 213, 214, 202, 190, 190, 184, 187, 187, 
##     192, 213, 215, 216, 216, 214, 213, 212, 210, 209, 212, 212, 
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##     -218, -211, -200, -192, -191, -191, -193, -192, -183, -184, 
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##     -146, -165, -140, -142, -142, -144, -139, -157, -225, -232, 
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##     -170, -170, -172, -169, -169, -171, -171, -169, -166, -166, 
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##     -108, -154, -159, -145, -165, -153, -154, -132, -129, -149, 
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##     -136, -166, -203, -251, -271, -229, -224, -221, -137, -78, 
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##     -121, -144, -165, -187, -204, -203, -294, -270, -210, -189, 
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##     -139, -137, -140, -141, -140, -137, -144, -165, -200, -292, 
##     -300, -296, -261, -212, -210, -160, -123, -110, -102, -102, 
##     -98, -108, -182, 210, 210, 212, 209, 211, 211, 206, 207, 
##     210, 211, 204, 192, 193, 190, 189, 187, 185, 192, 186, 185, 
##     182, 173, 170, 167, 185, 180, 178, 180, 183, 172, 175, 170, 
##     156, 154, 172, 165, 163, 173, 193, 203, 198, 171, 173, 167, 
##     134, 141, 133, 132, 129, 123, 125, 135, 133, 144, 150, 176, 
##     180, 182, 200, 198, 208, 211, 202, 206, 200, 199, 202, 195, 
##     192, 179, 176, 175, 157, 162, 163, 167, 174, 178, 182, 182, 
##     180, 184, 190, 192, 201, 206, 187, 203, 197, 198, 202, 200, 
##     198, 202, 207, 205, 207, 167, 165, 159, 164, 167, 166, 166, 
##     171, 163, 168, 162, 167, 170, 172, 172, 177, 180, 196, 207, 
##     211, 201, 195, 169, 151, 146, 149, 128, 125, 132, 151, 163, 
##     172, 180, 197, 198, 201, 197, 195, 170, 173, 175, 177, 186, 
##     195, 210, 217, 211, 217, 211, 202, 209, 177, 169, 150, 141, 
##     137, 138, 172, 194, 201, 202, 199, 196, 199, 209, 219, 218, 
##     210, 202, 208, 207, 197, 191, 173, 160, 161, 159, 163, 158, 
##     162, 162, 167, 172, 182, 215, 225, 251, 222, 223, 210, 191, 
##     139, 145, 133, 115, 118, 144, 156, 180, 187, 188, 183, 194, 
##     196, 203, 206, 211, 211, 214, 215, 176, 171, 160, 158, 180, 
##     201, 209, 242, 244, 232, 218, 195, 189, 203, 183, 153, 141, 
##     139, 137, 151, 162, 171, 175, 191, 215, 208, 235, 231, 212, 
##     217, 196, 191, 189, 182, 167, 163, 162, 157, 129, 127, 144, 
##     186, 182, 194, 203, 199, 223, 226, 228, 159, 184, 176, 174, 
##     180, 187, 189, 204, 206, 240, 233, 233, 203, 184, 188, 152, 
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##     -231, -227, -243, -245, -240, -226, -221, -224, -228, -205, 
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##     -175, -151, -140, -147, -141, -144, -157, -171, -178, -187, 
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##     -274, -267, -259, -211, -121, -136, -128, -102, -118, -118, 
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##     -112, -64, -102, -84, -93, -83, -91, -112, -136, -137, -103, 
##     -157, -193, -217, -227, -228, -247, -270, -270, -235, -236, 
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##     -242, -252, -264, -237, -213, -209, -216, -95, -120, -121, 
##     -124, -116, -104, -114, -149, -152, -153, -141, -112, -95, 
##     -135, -137, -131, -169, -168, -177, -185, -188, -183, -185, 
##     42, 46, 38, 42, 41, 48, 44, 23, 25, 23, 26, 50, -22, -25, 
##     -25, -25, -26, -22, -23, -21, -27, -24, -24, -24, -23, -27, 
##     -29, -29, -28, -34, -36, -37, -32, -32, -37, -35, -31, -33, 
##     -37, -40, -42, -44, -49, -60, -64, -66, -69, -63, -57, -52, 
##     -54, -52, -49, -17, -23, -18, -24, 16, 24, 32, 25, 8, -4, 
##     -16, -17, -9, 0, 11, -3, -1, 26, 16, -1, -3, 29, 22, 2, -1, 
##     -9, -19, -20, -22, -8, -20, -24, -25, -25, -31, -27, -20, 
##     -17, -20, 10, -1, -4, -7, 3, 3, 6, 6, -1, -6, -1, 2, 45, 
##     61, 68, 64, 68, -3, 16, -4, -17, -43, -22, -4, -10, -7, 1, 
##     13, 27, 26, 31, 27, 23, 9, -1, -20, -27, -22, -16, -13, -13, 
##     -18, -20, -19, -8, 68, 73, 31, 39, 43, 13, 12, -47, -61, 
##     -17, -12, -19, -19, -22, -19, -14, -9, 11, 19, 24, 12, -20, 
##     -31, -19, -7, -6, -10, -10, -20, 21, 32, 63, 34, 40, 37, 
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##     -20, -25, -30, -29, -29, -29, -32, -30, -31, -26, 14, 38, 
##     62, 46, 33, 38, 43, 50, 35, 17, 22, 12, 11, 3, 1, -14, -13, 
##     -12, -14, -7, 15, 21, 21, 24, 30, 12, 9, 14, 21, -6, -3, 
##     7, 5, 6, -3, -9, -3, -8, -23, -27, -20, -14, -15, -14, 19, 
##     91, 82, 42, 45, 30, 17, 40, 6, -5, -7, -12, -16, -25, -29, 
##     -26, -25, -25, -17, -16, -15, -7, 0, 5, 10, 5, 7, 5, 2, -11, 
##     -14, -6, -3, -6, -21, -24, 7, -5, -5, 7, 8, 10, 7, 5, 2, 
##     4, 3, -3, -9, -11, 15, 46, 41, 42, 37, 53, 48, 35, 40, 8, 
##     18, 13, -8, -3, -9, -15, -21, -28, -30, 3, -6, -1, -18, -11, 
##     -14, -12, -11, -4, 5, -4, -8, -16, -16, -59, -59, -45, -36, 
##     -30, -38, -41, 55, 51, 31, 48, 18, 21, 7, 1, 3, 1, 0, -1, 
##     -13, -19, -22, -23, -20, -19, -20, -13, -16, -3, -10, -10, 
##     -15, -24, 5, -9, 9, 13, 10, 44, 54, 53, 53, 57, 37, 26, 3, 
##     -11, -11, -14, -11, -16, -17, -15, -15, -17, -19, 24, 20, 
##     29, 32, 37, 26, 38, 33, 49, -1, 2, -6, -14, -10, 11, 15, 
##     14, 12, 8, -1, -2, 1, 9, 4, -13, 3, 59, 45, -3, 5, 7, 10, 
##     16, 16, 13, 4, 5, 8, 13, 29, 26, 20, 15, -31, -23, -23, -15, 
##     -40, -10, -6, 35, 43, 69, 79, 78, 74, 74, 67, 59, 32, 44, 
##     43, 33, 30, 23, 16, 19, 5, -3, -9, -16, 26, -4, 27, 27, 26, 
##     29, 43, 48, 68, 61, -10, -3, 15, 43, 52, 41, 34, 22, 24, 
##     22, 18, 30, 35, -13, -14, -14, -5, 12, 25, 33, 42, 39, 47, 
##     54, 52, 58, 64, 57, 59, 46, 54, 43, 30, 13, 9, -4, -6, -5, 
##     -8, -5, -2, -1, -2, -3, -5, -3, 22, 43, 50, 46, 44, 28, 29, 
##     30, 32, 37, 29, 5, -1, -6, -6, -26, -28, -31, -16, 15, 19, 
##     22, 32, 49, 43, 53, 50, 42, 67, 51, 52, 56, 47, 22, 6, -18, 
##     -14, -13, -17, -18, -41, -65, -51, -48, -37, -4, -9, 8, 71, 
##     73, 75, 37, 29, 27, 47, 31, 18, 26, 27, 20, 16, 6, 13, 43, 
##     -18, -9, 23, 33, 13, 17, 27, 27, 27, 25, 19, -16, -27, -11, 
##     -3, -24, -24, -20, -18, -17, 3, 19, 39, 45, 42, 52, 51, 17, 
##     15, 18, 13, 30, 13, 14, 11, 12, 7, -1, -2, -2, 19, 52, 52, 
##     21, 35, 39, 43, 36, 33, 32, 19, 21, 10, 4, -1, -24, -26, 
##     -41, -39, -42, -29, -28, -28, -19, -7, 10, 31, 35, 40, 65, 
##     57, 53, 34, 51, 46, 41, 35, 33, 50, 31, 9, 7, 17, 13, 12, 
##     12, 12, 7, -5, -31, -42, -42, -24, -30, -28, -20, -13, -11, 
##     1, 24, 26, 27, 39, 79, 60, 75, 32, 46, 63, 30, -10, -8, 13, 
##     23, 23, 24, 25, 26, 27, 29, 13, 9, 4, -2, 4, 41, 50, 12, 
##     8, 1, -62, -20, -5, -6, 4, 28, 25, 25, 34, 31, 57, 52, 64, 
##     79, 48, 28, 31, 25, 15, 19, 18, 14, 12, 14, 24, 29, 38, 49, 
##     76, 77, 65, 59, 48, 46, 43, 47, 52, 10, 5, -10, -15, -17, 
##     -29, -21, -1, 11, 20, 26, 48, 64, 85, 39, 53, 43, 38, 44, 
##     21, 16, 18, 19, 30, 53, 56, 56, 73, 79, 70, 60, 46, 52, 61, 
##     35, -8, -3, 6, 6, -30, -42, -66, -52, -44, -39, -40, -51, 
##     -52, -44, -37, -28, -2, 0, 6, 4, 3, 11, 19, 8, 4, -3, 6, 
##     -8, -18, -6, 18, 37, 51, 42, 15, 13, 13, 12, 14, 14, 61, 
##     57, 49, 46, 38, 30, 40, 21, 8, 5, 6, 5, -1, -8, -12, -32, 
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##     -23, -8, -2, 22, 25, 20, 24, 30, 32, 29, 26, 22, 26, 28, 
##     24, 28, 29, 23, 29, 25, 26, 36, 40, 36, 35, 41, 73, 65, 62, 
##     40, 27, 28, 32, 14, -3, -4, -1, 8, 19, 16, 13, 5, 7, 6, 6, 
##     11, 25, 27, 28, 27, 34, 49, 89, 73, 12, 25, 57, 46, 67, 64, 
##     62, 60, 57, 37, 10, 7, 7, 0, -14, -25, -47, -54, -56, -31, 
##     -39, -39, -45, -52, -55, -45, 11, 2, 39, 44, 13, 5, 20, 16, 
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##     -202, -219, -221, -239, -283, -249, -245, -150, -151, -124, 
##     -57, -125, -104, -112, -116, -56, -66, -86, -98, -97, -80, 
##     -69, -79, -85, -90, -103, -97, -94, -98, -165, -165, -172, 
##     -174, -173, -172, -169, -167, -165, -168, -169, -163, -168, 
##     -165, -168, -169, -170, -168, -169, -168, -170, 182, 179, 
##     183, 191, 197, 206, 215, 220, 221, 218, 207, 178, 164, 153, 
##     136, 143, 174, 165, 160, 162, 160, 168, 170, 172, 180, 183, 
##     189, 227, 240, 285, 269, 252, 259, 254, 202, 187, 180, 173, 
##     163, 151, 158, 156, 156, 156, 159, 223, 249, 223, 221, 221, 
##     201, 193, 158, 152, 144, 149, 152, 144, 136, 134, 149, 156, 
##     208, 209, 210, 211, 210, 211, 210, 213, 212, 210, 209, 209, 
##     207, 205, 205, 208, 213, 213, 213, 213, 215, 213, 214, 214, 
##     206, 214, 213, -115, -111, -112, -109, -114, -167, -184, 
##     -156, -148, -156, -154, -144, -135, -144, -149, -150, -148, 
##     -148, -156, -147, -145, -132, -143, -118, -119, -108, -95, 
##     -137, -181, -164, -154, -230, -223, -222, -221, -204, -211, 
##     -242, -230, -236, -247, -248, -248, -240, -219, -233, -290, 
##     -292, -279, -268, -254, -252, -255, -245, -243, -233, -211, 
##     -173, -157, -140, -141, -145, -256, -267, -243, -220, -210, 
##     -196, -184, -181, -132, -124, -128, -150, -151, -166, -163, 
##     -156, -155, -159, -146, -152, -174, -187, -208, -215, -208, 
##     -227, -231, -259, -224, -226, -234, -216, -206, -195, -187, 
##     -152, -144, -141, -235, -231, -233, -217, -209, -207, -166, 
##     -146, -148, -158, -155, -161, -208, -216, -201, -204, -196, 
##     -194, -184, -196, -203, -202, -203, -199, -210, -239, -273, 
##     -284, -295, -273, -234, -208, -207, -185, -189, -191, -204, 
##     -189, -184, -200, -196, -203, -206, -215, -218, -219, -221, 
##     -215, -222, -223, -259, -251, -223, -239, -218, -220, -231, 
##     -244, -237, -235, -235, -235, -236, -144, -162, -158, -150, 
##     -159, -162, -170, -184, -181, -180, -168, -164, -153, -134, 
##     -129, -134, -139, -157, -165, -244, -246, -176, -167, -93, 
##     -153, -125, -134, -112, -128, -126, -148, -169, -178, -187, 
##     -150, -148, -143, -140, -139, -136, -162, -153, -156, -258, 
##     -329, -282, -264, -249, -234, -234, -185, -185, -159, -162, 
##     -156, -143, -146, -135, -132, -160, -163, -169, -180, -193, 
##     -200, -200, -196, -195, -197, -190, -189, -172, -165, -155, 
##     -153, -190, -194, -179, -177, -184, -190, -201, -201, -206, 
##     -195, -182, -173, -174, -172, -173, -174, -174, -177, -182, 
##     -176, -193, -209, -176, -180, -182, -195, -188, -184, -182, 
##     -190, -193, -197, -197, -185, -189, -185, -190, -192, -176, 
##     -185, -183, -185, -202, -201, -205, -195, -194, -198, -199, 
##     -188, -195, -200, -199, -205, -203, -206, -206, -201, -199, 
##     -185, -185, -183, -199, -193, -190, -166, -166, -182, -183, 
##     -197, -205, -185, -194, -209, -180, -186, -173, -197, -199, 
##     -198, -194, -181, -178, -161, -159, -158, -162, -173, -175, 
##     -177, -169, -169, -175, -172, -170, -175, -173, -182, -183, 
##     -171, -153, -155, -139, -147, -179, -178, -180, -178, -184, 
##     -181, -176, -178, -180, -167, -166, -165, -176, -174, -181, 
##     -200, -193, -181, -165, -166, -165, -168, -175, -189, -193, 
##     -198, -183, -173, -176, -188, -186, -185, -178, -179, -176, 
##     -163, -161, -173, -174, -179, -174, -184, -187, -178, -176, 
##     -170, -166, -170, -166, -167, -159, -150, -165, -172, -175, 
##     -174, -180, -173, 176, 176, 191, 245, 197, 184, 170, 166, 
##     148, 133, 124, 127, 130, 130, 144, 190, 192, 190, 207, 202, 
##     200, 203, 202, 176, 162, 163, 150, 151, 150, 156, 163, 183, 
##     188, 210, 208, 287, 222, 219, 207, 179, 183, 143, 147, 132, 
##     127, 124, 182, 186, 192, 195, 200, 204, 211, 217, 212, 215, 
##     200, 196, 194, 199, 207, 198, 193, 186, 186, 180, 178, 171, 
##     169, 171, 171, 162, 164, 171, 173, 172, 176, 173, 168, 169, 
##     170, 182, 177, 186, 189, 189, 191, 198, 204, 202, 207, 205, 
##     203, 180, 175, 170, 170, 178, 174, 196, 205, 211, 211, 188, 
##     188, 188, 208, 220, 213, 171, 201, 236, 230, 228, 225, 223, 
##     221, 218, 213, 209, 195, 194, 195, 171, 173, 188, 194, 178, 
##     169, 196, 200, 207, 205, 201, 197, 190, 188, 179, 178, 170, 
##     168, 174, 158, 172, 173, 181, 179, 173, 179, 176, 157, 159, 
##     150, 176, 195, 209, 207, 207, 207, 208, 211, 205, 198, 187, 
##     173, 174, 174, 158, 163, 172, 175, 176, 153, 139, 140, 143, 
##     147, 154, 164, 166, 160, 160, 170, 163, 149, 144, 166, 151, 
##     189, 211, 200, 180, 196, 192, 193, 193, 183, 182, 184, 163, 
##     164, 183, 181, 185, 184, 208, 206, 201, 191, 189, 195, 192, 
##     206, 193, 196, 192, 188, 171, 173, 173, 175, 187, 192, 174, 
##     182, 205, 195, 195, 196, 213, 221, 221, 220, 221, 210, 191, 
##     185, 199, 205, 205, 199, 194, -214, -211, -211, -211, -208, 
##     -207, -187, -177, -203, -191, -185, -179, -187, -201, -241, 
##     -224, -229, -243, -247, -246, -241, -227, -255, -255, -251, 
##     -244, -248, -263, -266, -267, -266, -256, -235, -237, -232, 
##     -225, -238, -267, -269, -253, -247, -245, -249, -248, -252, 
##     -246, -238, -231, -241, -248, -239, -244, -245, -230, -244, 
##     -240, -233, -248, -237, -230, -239, -244, -229, -226, -228, 
##     -231, -243, -242, -247, -244, -245, -251, -234, -233, -231, 
##     -234, -230, -225, -222, -217, -205, -206, -208, -219, -199, 
##     -200, -198, -197, -197, -206, -207, -213, -209, -204, -210, 
##     -204, -185, -182, -188, -160, -182, -206, -205, -222, -225, 
##     -229, -219, -216, -212, -214, -215, -214, -214, -211, -213, 
##     -209, -177, -201, -182, -174, -181, -184, -191, -190, -191, 
##     -192, -188, -178, -214, -212, -206, -204, -205, -197, -183, 
##     -170, -168, -154, -175, -188, -189, -186, -179, -173, -166, 
##     -166, -184, -156, -162, -187, -147, -165, -162, -223, -221, 
##     -201, -203, -204, -202, -201, -192, -191, -188, -180, -181, 
##     -172, -179, -178, -178, -186, -172, -179, -177, -192, -204, 
##     -205, -217, -218, -210, -212, -213, -231, -225, -206, -208, 
##     -201, -204, -209, -189, -188, -190, -192, -197, -197, -191, 
##     -201, -191, -215, -214, -212, -215, -236, -232, -233, -227, 
##     -217, -250, -209, -199, -219, -214, -219, -219, -229, -227, 
##     -222, -207, -213, -213, -205, -189, -197, -189, -187, -191, 
##     -185, -210, -190, -187, -204, -218, -219, -222, -220, -219, 
##     -222, -223, -222, -221, -214, -211, -204, -201, -197, -201, 
##     -193, -190, -170, -186, -192, -175, -175, -177, -167, -186, 
##     -208, -214, -205, -204, -207, -210, -195, -223, -189, -178, 
##     -181, -183, -182, -178, -178, -162, -147, -152, -152, -143, 
##     -151, -158, -153, -157, -195, -207, -215, -213, -195, -176, 
##     -170, -197, -182, -184, -170, -150, -153, -157, -160, -167, 
##     -168, -166, -176, -180, -170, -175, -188, -180, -181, -168, 
##     -158, -140, -141, -149, -169, -187, -209, -199, -201, -185, 
##     -197, -196, -197, -183, -144, -162, -169, -177, -176, -172, 
##     -168, -157, -149, -140, -144, -175, -180, -193, -203, -214, 
##     -194, -183, -182, -181, -180, -186, -186, -174, -212, -213, 
##     -207, -210, -193, -184, -173, -173, -182, -186, -188, -184, 
##     -166, -101, -130, -170, -171, -140, -140, -139, -149, -163, 
##     -175, -187, -193, -190, -178, -171, -186, -186, -141, -176, 
##     -143, -140, -151, -164, -175, -178, -164, -149, -141, -142, 
##     -172, -168, -169, -173, -189, -233, -228, -196, -182, -215, 
##     -167, -173, -111, -130, -145, -153, -147, -141, -145, -174, 
##     -169, -165, -159, -138, -125, -171, -198, -207, -199, -190, 
##     -182, -179, -179, -175, -181, -160, -148, -144, -131, -145, 
##     -149, -138, -153, -159, -162, -149, -125, -124, -114, -181, 
##     -204, -211, -198, -175, -186, -188, -159, -150, -158, -119, 
##     -143, -147, -149, -143, -140, -118, -148, -198, -210, -206, 
##     -172, -172, -201, -209, -165, -153, -173, -184, -179, -133, 
##     -124, -118, -162, -152, -125, -125, -127, -127, -129, -159, 
##     -176, -173, -193, -223, -212, -173, -158, -185, -200, -196, 
##     -194, -136, -147, -191, -145, -146, -149, -163, -165, -181, 
##     -193, -199, -194, -182, -183, -186, -190, -190, -185, -182, 
##     -177, -172, -174, -173, -173, -179, -188, -184, -186, -186, 
##     -178, -177, -175, -180, -181, -180, -177, -175, -173, -175, 
##     -169, -160, -147, -115, -113, -113, -113, -115, -131, -157, 
##     -162, -162, -196, -214, -209, -210, -214, -200, -189, -174, 
##     -182, -190, -179, -124, -117, -117, -60, -131, -141, -139, 
##     -185, -197, -189, -202, -220, -201, -189, -181, -109, -149, 
##     -202, -189, -166, -79, -113, -167, -176, -199, -195, -187, 
##     -172, -163, -162, -156, -161, -171, -170, -169, -166, -168, 
##     -173, -173, -168, -168, -168, -168, -168, -166, -169, -167, 
##     -149, -145, -150, -148, -161, -162, -155, -185, -232, -221, 
##     -201, -195, -192, -207, -189, -178, -173, -195, -172, -184, 
##     -194, -191, -190, -181, -174, -171, -185, -190, -188, -188, 
##     -186, -179, -183, -184, -29, -5, 10, 5, -9, 11, 16, -5, -10, 
##     -13, 13, 20, 28, 25, 22, 12, 3, 6, 5, 5, 5, 5, -6, -6, 7, 
##     -10, -1, 3, 5, 11, 19, 25, 31, 44, 31, 73, 45, 22, 88, 87, 
##     40, 20, 21, 6, 14, 25, 20, -9, -12, -14, -18, -19, -17, -17, 
##     -14, 3, -1, -9, 6, 12, 16, 25, 21, 18, 15, 16, 1, 11, 0, 
##     -1, 2, 3, -10, -15, -22, -14, -17, -22, -28, -28, -29, 6, 
##     44, 55, 65, 56, 50, 34, -7, -38, -41, -44, -40, -41, -27, 
##     -22, -40, -59, -65, -66, -85, -84, -77, -73, -67, -70, -70, 
##     -70, -74, -82, -91, -84, -83, -80, -78, -73, -70, -75, -76, 
##     -75, -78, -80, -74, -70, -54, -60, -67, -71, -69, -59, -70, 
##     -73, -65, -46, -38, -32, -38, -67, -31, 12, 12, 14, 13, 8, 
##     19, 25, 9, 8, 8, 8, 8, 5, -14, 6, -2, -20, -23, -20, -13, 
##     -10, -7, -22, -19, -16, -30, -35, -37, -19, -12, -6, 14, 
##     17, 27, 24, 30, 30, 36, 33, 26, 19, 10, 14, 4, 17, 7, 4, 
##     35, 35, 6, 1, 4, 16, 50, 49, 27, 4, -9, -1, -3, -5, -11, 
##     19, 7, -7, -17, -16, -10, 16, 18, 9, 3, -4, 7, 7, 4, -3, 
##     9, 20, 25, 32, 34, 31, 22, 35, 37, 36, 30, 27, 23, 18, 15, 
##     2, -13, -9, -34, -10, -9, -8, 5, -8, -14, -13, -54, -51, 
##     -52, -38, -33, -53, -45, -23, -45, -45, -40, -24, -20, -4, 
##     -18, 6, -12, -14, -18, -15, -16, -30, -35, -41, -43, -38, 
##     -29, -31, -36, -32, -35, -32, -33, -34, -33, -29, -26, -28, 
##     -17, -21, -22, -21, -21, -14, 0, 11, 12, 19, 25, -18, -19, 
##     -6, 1, -7, -21, -27, -27, -39, -65, -61, -47, -45, -49, -61, 
##     -56, -51, -36, -39, -48, -45, -44, -40, -35, -16, -18, -1, 
##     23, 27, 29, 20, 27, 15, 18, 18, 3, 1, -3, -5, -9, -18, -38, 
##     -43, -34, -64, -60, -22, -24, -25, -34, -29, -32, -37, -19, 
##     -9, -7, -10, 0, 4, 17, 20, 31, 33, 31, 29, 33, 28, 19, -13, 
##     -3, -3, 7, 16, 20, 7, 24, 24, -3, -2, 4, 11, 13, 3, -15, 
##     -12, -11, -9, -18, -11, -15, -29, -32, -29, -60, -87, -103, 
##     -104, -94, -55, -28, -57, -61, -69, -48, -45, -38, -42, 31, 
##     27, 21, 12, -13, -5, -12, -14, -10, -10, -20, 35, 40, 26, 
##     11, 1, -15, -8, -40, -41, -30, -2, -24, -23, -11, -10, -11, 
##     -15, -5, 2, 2, 38, 59, 84, 73, 67, 63, 59, 29, 32, 37, 29, 
##     19, 16, 9, 9, -2, -41, -48, -46, -9, -1, -2, -5, -12, -23, 
##     -12, 24, 58, 54, 54, 40, 40, 67, 14, 9, 23, 27, 20, 17, 14, 
##     32, 22, -3, -11, -15, -11, -5, 13, 35, 52, 62, 69, 50, 46, 
##     43, 8, 9, -7, -8, 0, 8, -17, -42, -49, -37, -29, -22, -33, 
##     -28, -22, -19, -17, -13, 0, 1, 13, 13, 17, 48, 44, 54, 45, 
##     49, 36, 49, 61, 61, 60, 27, 4, 2, 9, 31, 31, -33, -24, -10, 
##     10, 8, 12, 13, 29, 54, 60, 52, 11, 19, 29, 27, 26, 12, 11, 
##     12, 23, 29, 3, -2, 13, 11, 12, 10, 10, 17, 17, 32, 36, 35, 
##     29, 37, 35, 47, 31, 31, 31, 34, 26, 36, 12, 27, 26, 21, -5, 
##     -11, -13, 15, 23, 26, 31, 31, 11, 6, 6, 31, 39, 33, 17, 21, 
##     36, 43, 27, 36, 37, 20, 17, 13, 14, 17, 21, 37, 19, 31, 31, 
##     30, 11, -15, 3, 8, 8, 0, -3, -5, -18, -17, -3, 6, 7, 3, 11, 
##     22, 23, 31, 33, 29, 30, 31, 29, 49, 20, 21, 25, 22, 14, 15, 
##     13, 14, 27, 33, 40, 52, 34, 35, 37, -4, -22, 12, -1, -6, 
##     48, 54, 48, 43, 10, 18, 19, 17, 41, 39, 74, 31, 29, 24, 26, 
##     17, 14, 13, 14, 17, 21, 22, 5, 1, 14, 10, 12, 30, 33, 51, 
##     53, 34, 39, 38, 5, 25, -4, -12, -12, 1, 0, -1, 5, 9, -14, 
##     -21, 36, 21, 1, -3, -25, -3, 24, 17, 16, 10, 5, 19, -6, -14, 
##     -11, 17, 25, 20, 22, 20, 22, 22, 38, 32, 45, 46, 51, 54, 
##     50, 46, 35, 19, 14, 0, 0, 2, 24, 17, 40, 24, 32, 27, 44, 
##     32, 39, 45, 47, 45, 38, 18, 7, 0, -1, 26, 18, 10, 12, 28, 
##     46, 57, 105, 86, 80, 89, 37, -171, -168, -173, -183, -182, 
##     -178, -175, -177, -178, -177, -179, -180, -161, -168, -172, 
##     -170, -174, -175, -166, -168, -173, -173, -167, -172, -172, 
##     -165, -160, -183, -193, -189, -169, -147, -156, -168, -191, 
##     -206, -163, -138, -133, -158, -198, -209, 191, 160, 187, 
##     170, 182, 193, 197, 196, 197, 209, 209, 212, 213, 213, 190, 
##     187, 171, 185, 190, 186, 184, 177, 174, 190, 180, 176, 174, 
##     188, 183, 186, 190, 176, 167, 168, 169, 185, 175, 172, 161, 
##     165, 168, 173, 180, 184, 190, 197, -189, -174, -176, -170, 
##     -160, -158, -166, -190, -197, -192, -189, -189, -186, -170, 
##     -175, -177, -177, -174, -176, -186, -190, -195, -193, -181, 
##     -163, -172, -180, -177, -182, -193, -177, -178, -173, -183, 
##     -181, -174, -181, -195, -195, -205, -201, -169, -163, -165, 
##     -173, -177, -178, -185, -180, -180, -190, -194, -184, -182, 
##     -183, -177, -162, -167, -170, -172, -172, -171, -189, -180, 
##     -184, -165, -173, -176, -235, -236, -196, -191, -193, -182, 
##     -180, -196, -196, -191, -193, -197, -187, -196, -200, -201, 
##     -208, -202, -199, -192, -202, -235, -251, -252, -230, -232, 
##     -237, -243, -242, -236, -231, -231, -232, -173, -177, -187, 
##     -175, -189, -200, -194, -190, -206, -214, -219, -223, -211, 
##     -263, -263, -244, -222, -191, -210, -171, -197, -196, -190, 
##     -188, -174, -177, -160, -179, -175, -172, -181, -184, -182, 
##     -183, -184, -178, -188, -191, -190, -185, -179, -176, -182, 
##     -180, -182, -175, -187, -169, -234, -192, -193, -190, -194, 
##     -184, -171, -164, -163, -152, -189, -195, -181, -180, -162, 
##     -152, -161, -201, -199, -199, -197, -188, -201, -190, -187, 
##     -186, -184, -208, -220, -165, -172, -175, -199, -194, -187, 
##     -185, -178, -167, -148, -143, -136, -140, -164, -166, -164, 
##     -168, -151, -173, -208, -198, -189, -180, -149, -141, -128, 
##     -138, -135, -146, -154, -167, -166, -165, -163, -164, -164, 
##     -164, -157, -160, -155, -157, -148, -155, -164, -155, -159, 
##     -159, -151, -169, -170, -168, -166, -158, -165, -168, -165, 
##     -167, -168, -167, -168, -174, -172, -161, -156, -156, -153, 
##     -164, -198, -194, -187, -181, -184, -172, -171, -180, -190, 
##     -223, -231, -235, -187, -166, -167, -152, -128, -145, -168, 
##     -169, -186, -189, -192, -190, -193, -230, -126, -128, -121, 
##     -150, -153, -136, -152, -167, -159, -163, -173, -168, -158, 
##     -169, -162, -164, -190, -194, -202, -215, -212, -201, -205, 
##     -180, -168, -148, -129, -134, -168, -168, -165, -165, -175, 
##     -171, -171, -169, -168, -167, -161, -154, -169, -207, -213, 
##     -219, -188, -182, -180, -177, -175, -182, -195, -199, -199, 
##     -207, -213, -213, -216, -213, -211, -210, -195, -186, -181, 
##     -164, -151, -171, -171, -173, -179, -178, -182, -186, -181, 
##     -194, -185, -186, -187, -192, -195, -194, -188, -162, -170, 
##     -174, -175, -184, -187, -181, -194, -196, -203, -203, -204, 
##     -211, -215, -190, -200, -203, -187, -180, -184, -162, -162, 
##     -137, -141, -182, -174, -162, -176, -186, -188, -189, -197, 
##     -185, -183, -184, -185, -184, -212, -219, -224, -202, -206, 
##     -203, -212, -179, -154, -170, -175, -181, -192, -194, -200, 
##     -196, -193, -192, -185, -191, -220, -222, -222, -230, -222, 
##     -219, -201, 37, 23, 20, 11, 10, -3, 6, -11, -37, -2, 14, 
##     23, 26, 33, 28, 17, 22, 6, 9, 10, 7, -20, -10, -8, -1, -4, 
##     -1, 4, 10, 23, 34, 26, 36, 43, 45, 49, 27, 22, 31, 40, 45, 
##     51, 42, 29, 45, 25, 17, 12, 4, -3, -3, 1, 0, -10, -7, -11, 
##     -6, -6, 9, 27, 32, 43, 43, 44, 34, 38, 27, 35, 49, 21, 35, 
##     40, 25, 27, 22, 20, 27, 26, 24, 29, 28, 21, 23, 20, 24, 29, 
##     20, 18, 13, 5, -13, -27, -17, -1, -5, -8, 11, 1, 23, 26, 
##     29, 21, 16, 19, 25, 34, 41, 26, 37, 30, 17, 34, 43, 23, 5, 
##     15, 15, 9, 8, 12, 7, 4, -2, -11, 5, -9, -9, -7, 1, 12, 22, 
##     45, 38, 16, 26, 27, 28, 26, 36, 25, 17, 23, 23, 27, -10, 
##     -4, 4, 24, 24, 24, 17, 32, 58, 45, 7, 8, 16, 17, 14, 34, 
##     41, -2, 3, -48, -49, -44, 0, -1, -19, -24, -7, -3, -8, -13, 
##     -25, -33, -33, -17, -5, -26, 3, 11, 23, -2, 48, 28, 189, 
##     188, 184, 183, 168, 174, 182, 194, 181, 180, 175, 187, 201, 
##     208, 210, 200, 198, 201, 222, 215, 210, 196, 185, 187, 192, 
##     204, 179, 182, 182, 171, 161, 163, 158, 161, 161, 175, 169, 
##     180, 184, 183, 172, 165, 171, 198, 203, 198, 196, 189, 200, 
##     199, 200, 202, 204, 205, 203, 194, 172, 169, 165, 172, 199, 
##     182, 175, 187, 226, 217, 224, 225, 223, 208, 184, 186, 190, 
##     178, 175, 170, 172, 180, 179, 175, 157, 136, 140, 155, 182, 
##     172, 176, 164, 177, 174, 180, 187, 186, 209, 201, 196, 216, 
##     208, 189, 179, 178, 178, 172, 178, 179, 183, 173, 174, 179, 
##     181, 181, 179, 161, 167, 184, 193, 185, 183, 157, 186, 183, 
##     166, 192, 201, 213, 217, 225, 207, 197, 178, 179, 192, 198, 
##     197, 206, 206, 205, 206, 162, 154, 215, 175, 185, 140, 149, 
##     148, 170, 172, 192, 195, 205, 205, 208, 200, 184, 167, 166, 
##     149, 158, 161, 172, 181, 172, 177, 168, 197, 197, 172, 159, 
##     147, 151, 162, 172, 193, 192, 195, 210, 211, 214, 212, 210, 
##     178, 172, 170, 173, 172, 177, 181, 181, 182, 179, 175, 164, 
##     158, 155, 149, 160, 181, 174, 167, 168, 161, 158, 159, 145, 
##     142, 133, 158, 169, 159, 183, 217, 209, 214, 211, 195, 190, 
##     174, 174, 175, 174, 177, 181, 187, 180, 177, 172, 183, 181, 
##     179, 164, 177, 204, 191, 205, 203, 185, 174, 177, 176, 142, 
##     128, 139, 149, 151, 172, 174, 201, 212, 205, 199, 197, 188, 
##     171, 175, 132, 125, 141, 155, 167, 172, 165, 187, 178, 195, 
##     -172, -176, -193, -170, -201, -210, -210, -209, -219, -219, 
##     -211, -213, -203, -189, -186, -191, -178, -176, -176, -170, 
##     -171, -197, -185, -180, -159, -160, -179, -176, -190, -208, 
##     -207, -209, -211, -233, -232, -228, -211, -216, -235, -228, 
##     -232, -225, -228, -220, -220, -218, -222, -227, -224, -226, 
##     -231, -231, -226, -225, -222, -214, -212, -185, -178, -181, 
##     -177, -179, -180, -172, -163, -189, -188, -199, -205, -190, 
##     -186, -188, -184, -199, -195, -178, -179, -185, -167, -174, 
##     -176, -176, -181, -185, -192, -201, -202, -202, -205, -190, 
##     -183, -174, -172, -170, -203, -204, -199, -188, -201, -186, 
##     -176, -167, -160, -177, -169, -169, -204, -191, -189, -188, 
##     -193, -202, -195, -196, -190, -189, -191, -190, -185, -193, 
##     -196, -183, -186, -177, -180, -172, -170, -175, -197, -188, 
##     -186, -179, -170, -170, -170, -182, -188, -190, -189, -188, 
##     -188, -194, -181, -157, -152, -181, -207, -169, -180, -185, 
##     -190, -183, -191, -183, -176, -146, -145, -144, -154, -163, 
##     -187, -212, -202, -186, -183, -175, -185, -174, -179, -163, 
##     -192, -193, -189, -188, -195, -192, -192, -208, -208, -195, 
##     -181, -182, -171, -184, -175, -173, -184, -218, -205, -190, 
##     -182, -179, -194, -135, -148, -156, -153, -168, -167, -163, 
##     -162, -162, -169, -205, -175, -187, -205, -209, -207, -211, 
##     -179, -158, -176, -141, -114, -145, -167, -144, -171, -162, 
##     -153, -156, -183, -188, -187, -198, -245, -252, -166, -184, 
##     -145, -123, -144, -157, -155, -143, -176, -163, -180, -159, 
##     -160, -178, -178, -160, -157, -157, -170, -207, -216, -216, 
##     -216, -214, -212, -225, -215, -203, -146, -155, -223, -219, 
##     -207, -256, -194, -219, -199, -191, -160, -205, -170, -163, 
##     -164, -148, -147, -132, -149, -145, -154, -201, -196, -243, 
##     -254, -214, -224, -204, -189, -148, -152, -115, -124, -106, 
##     -133, -194, -209, -213, -228, -233, -247, -232, -232, -232, 
##     -204, -198, -172, -139, -125, -118, -114, -122, -147, -170, 
##     -164, -216, -193, -205, -204, -230, -238, -228, -172, -172, 
##     -169, -162, -138, -128, -126, -127, -131, -140, -142, -149, 
##     -197, -188, -208, -211, -183, -184, -183, -182, -182, -180, 
##     -180, -186, -187, -184, -179, -182, -186, -178, -180, -180, 
##     -177, -174, -172, -174, -166, -177, -179, -175, -177, -179, 
##     -172, -178, -177, -179, -177, -173, -176, -176, -176, -172, 
##     -170, -171, -174, -178, -170, -169, -172, -175, -172, -178, 
##     -177, -176, -175, -175, -176, -175, -175, -177, -181, -184, 
##     -184, -184, -179, -181, -182, -180, -177, -176, -180, -182, 
##     -180, -178, -177, -176, -181, -189, -186, -190, -190, -193, 
##     -191, -168, -180, -185, -183, -181, -182, -182, -181, -187, 
##     -184, -175, -181, -182, -186, -183, -181, 20, 1, 0, 21, -5, 
##     -8, -12, -16, -3, -11, -21, 29, 38, 0, 9, 2, -3, 1, 4, -15, 
##     -14, -17, -14, -12, -21, -19, -25, -27, -12, 9, 8, 16, 30, 
##     21, 16, 24, 24, 26, 12, 15, 2, 1, -7, 3, 4, 0, -8, -11, -43, 
##     -28, -28, -34, -31, -23, -23, -12, 27, 24, 20, 51, 42, 34, 
##     13, -10, -15, -19, -24, -15, -14, -13, -5, -13, -22, -58, 
##     -48, -36, -41, -55, -53, -49, -54, -55, -20, -10, -34, -39, 
##     -9, -4, -3, 2, 1, 4, 4, 9, 7, 2, -1, -5, -5, -9, -10, -9, 
##     -16, -19, -18, 12, 15, 12, 15, 17, 21, 18, 23, 24, 39, 45, 
##     27, 35, 41, 44, 43, 29, 5, -4, -7, -3, -1, 3, 0, -28, 4, 
##     14, 15, 15, 19, 24, 17, 28, 23, 23, 15, -8, 4, -2, -25, -30, 
##     -35, -39, -45, -45, -32, -11, -18, -51, -11, 5, -11, 1, 1, 
##     4, 17, -5, -6, -3, 9, 14, 9, -1, -2, 2, 16, -20, -29, -31, 
##     -41, -30, -40, 9, 8, -10, -26, -15, 5, 2, 0, -15, -11, -8, 
##     1, -26, -30, 8, 10, 18, 15, 14, 21, 22, 16, 12, 8, 16, 8, 
##     8, 7, 7, -4, -1, -10, -4, -15, -13, -2, 1, 8, -1, 9, 18, 
##     21, -40, -56, -52, -56, -57, -60, -56, -56, -61, -64, -65, 
##     -59, -58, 48, 48, 37, 37, 37, 39, 33, 35, 29, 31, 26, 22, 
##     28, 22, 24, 24, 31, 21, -35, -35, -43, -56, -56, -18, -4, 
##     -7, -15, -21, -33, -27, -60, -62, -43, -31, -27, -30, -29, 
##     -3, -21, -21, 4, 10, 16, -7, -8, 6, 9, 19, 23, 35, 27, 38, 
##     46, 55, 55, -32, -48, -36, -25, -25, -28, -25, -25, -17, 
##     -18, -19, 34, 37, 7, -13, 16, 18, 17, 21, 25, 12, 10, 7, 
##     14, 12, 14, 5, 11, 13, 10, 16, 18, 15, 14, 19, 45, 50, 48, 
##     45, 44, 42, 28, 32, 46, 15, 21, 25, 35, 31, 35, 39, 26, 30, 
##     15, 12, 8, 11, 10, 10, 15, 13, 16, 10, 6, 8, 9, 9, 4, 20, 
##     21, 21, 28, 7, 1, 1, 6, 28, 30, 24, 32, 21, 14, 25, 24, 16, 
##     4, 2, 5, 2, 2, 19, 15, 14, 14, 25, 1, -3, -6, -8, -4, 7, 
##     15, -20, -19, -14, -6, 14, 28, 29, 21, 17, 19, 12, 13, 16, 
##     29, 28, 9, 31, 52, 47, 47, 42, 28, 7, 13, 16, 18, 9, 8, 8, 
##     6, 9, 20, 35, 40, 41, 27, 6, 14, 13, 4, 4, -12, -44, -38, 
##     -20, -17, -21, -16, -5, 0, 6, -12, -15, -18, -19, -21, -24, 
##     -29, -27, -5, -6, -6, -10, -12, -12, -14, -7, 1, -5, 37, 
##     35, 28, 20, 37, 41, 21, 7, 7, -17, -15, -11, 1, 5, 19, 36, 
##     29, 55, 55, 69, 53, 65, 61, 57, 59, 69, 52, 30, 6, 2, 0, 
##     16, 18, 21, 19, 14, 11, 30, 20, 5, 0, 3, 39, 35, -7, -15, 
##     -7, -9, -13, -10, 1, 3, 2, 16, 40, 46, 47, 45, 34, 30, 33, 
##     28, 28, 18, 15, 26, 7, -2, 4, -179, -179, -176, -177, -186, 
##     -177, -182, -180, -184, -182, -201, -196, -197, -188, -170, 
##     -195, -191, -166, -147, -137, -133, -171, -176, -177, -200, 
##     -187, -204, -143, -113, -134, -138, -160, -154, -157, -180, 
##     -204, -203, -198, -211, -238, -248, -218, -206, -206, -193, 
##     -193, -191, -182, -146, -163, -164, -154, 186, 189, 187, 
##     186, 173, 175, 170, 166, 171, 181, 162, 176, 192, 209, 205, 
##     201, 223, 220, 216, 225, 221, 224, 216, 206, 202, 199, 187, 
##     190, 180, 193, 202, 194, 183, 180, 185, 193, 199, 185, 177, 
##     190, 155, 167, 173, 178, 176, 185, 171, 150, 149, 158, 156, 
##     174, 193, 203, 215, 221, 215, 230, 221, 218, 212, 195, 169, 
##     160, 149, 148, 139, 157, 150, 157, 148, 153, 176, 177, 175, 
##     180, -204, -210, -251, -250, -225, -230, -237, -174, -158, 
##     -171, -146, -164, -169, -166, -224, -196, -197, -172, -127, 
##     -151, -145, -149, -169, -170, -168, -176, -186, -183, -184, 
##     -185, -184, -184, -206, -250, -237, -197, -194, -189, -185, 
##     -182, -171, -190, -160, -167, -144, -147, -143, -151, -157, 
##     -145, -163, -166, -192, -199, -205, -205, -200, -186, -179, 
##     -184, -195, -201, -211, -172, -160, -159, -162, -180, -173, 
##     -177, -178, -171, -196, -185, -165, -162, -186, -196, -204, 
##     -197, -192, -192, 188, 188, 190, 204, 221, 235, 237, 239, 
##     201, 203, 209, 221, 228, 232, 215, 209, 189, 212, 211, 206, 
##     218, 222, 223, 221, 222, -163, -51, -63, -74, -75, -79, -70, 
##     -54, -33, -5, 10, 14, 32, 46, 66, 59, 67, 55, 36, 39, 31, 
##     30, -37, -10, -36, -25, -25, -35, -21, -17, -24, -24, -17, 
##     -20, -12, -6, -17, -2, -5, -9, -26, -36, -67, -64, -58, -56, 
##     -51, -50, -39, -35, -32, -28, 4, 52, 71, 65, 58, 41, 17, 
##     -5, 1, -8, -8, -12, -1, -2, 2, -5, -19, -14, -3, 2, 3, 2, 
##     -3, 2, 2, 2, -1, -5, -11, -11, -11, -25, -45, -39, -38, -45, 
##     -44, -36, -19, -17, -17, -24, -25, -22, -53, -30, -42, -35, 
##     -29, -27, -178, -165, -159, -193, -212, -211, -215, -215, 
##     -227, -231, -225, -225, -219, -217, -219, -221, -215, -215, 
##     -217, -216, -214, -218, -221, -219, -214, -212, -205, -197, 
##     -198, -185, -178, -181, -180, -183, -154, -157, -204, -212, 
##     -213, -194, -204, -212, -216, -249, -274, -287, -287, -244, 
##     -244, -252, -263, -256, -248, -227, -228, -202, -141, -118, 
##     -145, -178, -194, -179, -185, -193, -207, -191, -185, -188, 
##     -200, -211, -208, -205, -203, -202, -204, -250, -294, -271, 
##     -275, -262, -262, -264, -246, -239, -193, -194, -170, -179, 
##     -175, -174, -174, -171, -163, -161, -179, -187, -185, -231, 
##     -225, -180, -161, -179, -186, -192, -177, -196, -262, -252, 
##     -255, -244, -237, -224, -222, -213, -198, -187, -174, -144, 
##     -154, -145, -141, -153, -141, -136, -162, -166, -165, -186, 
##     -186, -190, -218, -230, -250, -293, -270, -257, -251, -258, 
##     -248, -236, -236, -223, -214, -201, -200, -209, -229, -246, 
##     -274, -266, -265, -252, -246, -242, -238, -228, -194, -190, 
##     -189, -173, -145, -150, -182, -170, -168, -177, -186, -182, 
##     -166, -198, -203, -225, -249, -240, -229, -223, -210, -209, 
##     -199, -206, -212, -233, -233, -233, -227, -208, -194, -197, 
##     -213, -219, -214, -259, -268, -243, -230, -230, -211, -188, 
##     -182, -177, -175, -202, -197, -190, -160, -172, -164, -187, 
##     -187, -182, -201, -227, -187, -174, -174, -181, -183, -216, 
##     -206, -203, -218, -247, -291, -272, -260, -249, -245, -244, 
##     -230, -219, -201, -201, -194, -183, -173, -173, -176, -188, 
##     -192, -189, -199, -198, -200, -207, -211, -228, -229, -223, 
##     -226, -218, -223, -220, -217, -214, -219, -224, -224, -223, 
##     -221, -220, -222, -221, -221, -212, -206, -210, -202, -192, 
##     -201, -203, -204, -204, -198, -199, -198, -207, -214, -212, 
##     -212, -206, -207, -171, -157, -163, -175, -187, -181, -186, 
##     -180, -181, -182, -186, -178, -181, -219, -211, -216, -192, 
##     -140, -145, -140, -129, -139, -137, -115, -111, -148, -166, 
##     -190, -159, -142, -156, -159, -167, -170, -163, -153, -152, 
##     -144, -146, -143, -144, -127, -98, -130, -139, -177, -195, 
##     -347, -270, -293, -292, -271, -223, -226, -162, -143, -147, 
##     -116, -164, -157, -164, -185, -193, -156, -146, -145, -152, 
##     -134, -178, -223, -246, -292, -386, -284, -287, -205, -119, 
##     -93, -111, -96, 23, 29, 41, 55, 56, 58, 36, 27, 27, 22, 17, 
##     6, 10, 8, 14, 20, 5, -4, -1, 0, 1, 4, 3, -8, -25, -2, -15, 
##     -19, -25, 3, 0, -6, -17, -28, 14, 15, 27, 41, 44, 19, 20, 
##     21, 31, 33, 29, -8, -3, 1, 9, 15, -50, -49, -27, -15, -29, 
##     0, 8, 4, 0, -2, 6, 11, 5, -6, -9, 18, 19, 26, 14, 14, -14, 
##     -19, -12, -6, 7, 15, 11, 7, 11, 11, 10, -10, -22, -31, -28, 
##     -25, -15, -25, -26, -24, -26, -16, 24, 13, 7, 7, 21, 25, 
##     30, 26, 24, 22, 18, 34, 11, 1, -9, -18, -51, -58, -59, -44, 
##     -47, -39, -32, -30, -2, 2, 11, 9, 20, 17, 13, 13, 16, -9, 
##     1, 26, 16, -18, -17, -17, -12, 30, 51, 49, 9, -6, 31, 36, 
##     35, 10, 25, 10, 4, -25, -26, -29, -27, -28, -16, -17, 1, 
##     27, 30, 48, 11, 22, 30, 30, 27, 9, 11, 10, 3, 10, 48, 41, 
##     36, 19, 12, 4, -20, -42, -38, -41, -34, -27, -15, -10, 6, 
##     22, 30, 21, 14, 27, 16, 3, 41, 37, -3, -18, -15, 55, 35, 
##     21, 22, 17, 90, 32, 6, -18, -29, -19, -9, -36, -35, -45, 
##     -37, -26, -21, 4, 5, 4, -7, -4, -6, 1, 12, 12, 0, 37, 19, 
##     -7, -3, 2, 21, 15, 13, -1, 2, 11, -25, -21, -21, -17, 28, 
##     34, 15, -4, -27, -1, 13, 4, -12, -35, -40, -38, -37, -31, 
##     -32, -43, -43, -39, -34, -31, -24, -19, -10, -12, 52, 48, 
##     40, 36, 53, 56, 49, 34, 18, 25, 21, 14, -5, -14, -8, -8, 
##     -27, -42, -40, -42, -37, -26, -32, -23, -19, -16, -6, 4, 
##     -4, 8, 11, 7, 17, -8, -39, -37, -32, -18, -3, 25, -12, -19, 
##     -51, -57, -50, -37, 12, 26, 10, 3, -2, 7, 9, 3, 12, 7, 0, 
##     -11, -47, -27, -26, -29, -35, -24, -19, -22, -12, 38, 28, 
##     26, 20, 16, -12, 10, -3, -27, -35, -28, -2, 1, 20, 18, -12, 
##     -18, -32, -48, -13, 24, 25, 25, -17, -16, -19, -31, -41, 
##     -46, -47, -40, -38, -33, -15, -8, -4, 2, 5, 4, 35, 8, -17, 
##     -19, 36, 8, 9, 23, 30, 35, 41, 36, 17, 13, 12, 10, 14, 62, 
##     63, -8, -39, -34, -24, -37, -58, -14, -14, -19, -19, -19, 
##     -9, 29, 38, -3, 1, -8, 0, 7, 5, -1, -7, 203, 198, 197, 201, 
##     199, 205, 210, 210, 202, 201, 198, 194, 199, 201, 203, 200, 
##     199, 204, 202, 198, 198, 186, 185, 179, 174, 159, 166, 161, 
##     154, 177, 184, 165, 169, 173, 186, 195, 171, 165, 167, 129, 
##     123, 132, 134, 128, 137, 176, 179, 174, 183, 127, 194, 186, 
##     196, 194, 185, 153, 149, 142, 140, 157, 141, 138, 143, 145, 
##     142, 167, 169, 173, 192, 199, 192, 191, 176, 172, 171, 189, 
##     203, 201, 160, 153, 147, 145, 153, 154, 153, 154, 166, 165, 
##     154, 165, 193, 176, 185, 198, 188, 184, 184, 184, 177, 173, 
##     167, 160, 147, 158, 169, 176, 171, 170, 165, 159, 160, 161, 
##     170, 162, 167, 170, 196, 202, 174, 167, 165, 166, 156, 164, 
##     160, 162, 169, 174, 190, 193, 186, 184, 180, 192, 201, 206, 
##     204, 209, 203, 199, 184, 171, 168, 163, 184, 185, 186, 189, 
##     171, 183, 174, 174, 160, 161, 161, 184, 182, 188, 185, 197, 
##     203, 183, 191, 185, 181, 183, 184, 204, 201, 199, 197, 190, 
##     183, 173, 170, 181, 181, 172, 170, 175, 176, 174, 186, 189, 
##     198, 193, 207, 207, 221, 206, 216, 214, 209, 205, 212, 225, 
##     227, 226, 224, 225, 164, 157, 166, 169, 175, 174, 166, 172, 
##     177, 180, 187, 174, 177, 179, 199, 199, 203, 199, 193, 224, 
##     225, 222, 214, 212, 218, 223, 233, 215, 227, 230, 228, 229, 
##     231, 231, 224, 225, 227, 228, 229, 229, 226, 227, 226, 226, 
##     224, 223, 223, 226, 222, 221, 218, 229, 225, 214, 208, 198, 
##     -180, -176, -179, -181, -181, -177, -177, -177, -179, -182, 
##     -182, -183, -183, -181, -192, -180, -174, -176, -186, -177, 
##     -183, -186, -187, -167, -133, -100, -139, -130, -134, -138, 
##     -208, -216, -224, -199, -183, -147, -128, -150, -159, -112, 
##     -82, -76, -73, -118, -118, -101, -100, -139, -127, -195, 
##     -204, -225, -243, -221, -222, -227, -244, -235, -224, -232, 
##     -131, -186, -155, -116, -108, -56, -110, -118, -116, -158, 
##     -165, -176, -221, -187, -226, -217, -189, -193, -163, -146, 
##     -162, -135, -107, -147, -129, -202, -127, -83, -75, -80, 
##     -88, -112, -112, -141, -148, -137, -140, -140, -154, -163, 
##     -159, -215, -223, -205, -205, -209, -177, -201, -162, -177, 
##     -130, -122, -115, -88, -129, -125, -126, -219, -233, -207, 
##     -205, -201, -197, -196, -187, -165, -168, -114, -101, -171, 
##     -154, -154, -125, -86, -98, -109, -129, -139, -144, -144, 
##     -148, -161, -165, -161, -169, -221, -218, -218, -218, -217, 
##     -212, -203, -191, -190, -215, -198, -175, -146, -134, -160, 
##     -177, -41, -61, -173, -178, -192, -210, -232, -219, -216, 
##     -233, -218, -220, -150, -132, -135, -178, -133, -76, -67, 
##     -100, -142, -131, -72, -64, -94, -110, -118, -119, -118, 
##     -124, -143, -141, -136, -166, -147, -209, -236, -242, -247, 
##     -207, -201, -199, -171, -156, -180, -188, -140, -125, -134, 
##     -178, -144, -124, -118, -124, -161, -166, -172, -192, -178, 
##     -168, -170, -165, -163, -163, -166, -168, -170, -174, -171, 
##     -172, -172, -172, -173, -160, -161, -162, -165, -169, -168, 
##     -168, -168, -169, -166, -169, -171, -169, -21, -29, -36, 
##     -39, -46, -36, -6, -2, -7, 7, 28, 23, 19, 14, 18, 20, 20, 
##     18, 15, 17, 8, 6, -5, -12, -2, -6, -4, -3, 1, 0, -1, -15, 
##     -16, -21, -20, -19, -17, -16, -21, -13, -9, -19, -25, -21, 
##     -27, -23, -18, 10, 10, 9, 2, 15, 17, 3, 9, 15, 18, 19, 22, 
##     17, 12, 1, 3, 9, 1, 20, 30, 18, 9, 5, 0, 19, -14, -14, -14, 
##     -5, 0, -8, -17, -31, -12, 27, 26, 23, 23, 21, 18, 21, 8, 
##     15, 17, 11, 14, 7, 2, -5, -7, -19, -31, -24, -23, -26, -25, 
##     -27, -21, -17, -27, -20, -15, -23, -28, -30, -28, -26, -42, 
##     -20, -11, 3, 2, -2, -2, 22, 11, 8, 5, -1, 3, 11, 24, 18, 
##     21, 10, 21, 35, -19, -18, -23, -21, -21, -19, -27, -25, -37, 
##     -39, -35, -37, -23, -20, 11, 10, 19, 9, -4, 11, 16, -9, -18, 
##     -2, -6, -21, -35, -30, -28, -29, -14, -17, -37, -49, -21, 
##     -21, -11, -9, -7, 2, 3, 2, -1, 4, 3, -4, -6, -3, -12, -13, 
##     -2, 1, 32, 97, 85, 43, 31, 19, -13, -23, -3, -16, -19, -21, 
##     -19, -14, -15, -12, 1, 15, 20, 20, 13, -10, -9, -10, -9, 
##     -9, -5, -5, -4, -5, -13, -16, -29, -37, -51, -46, -43, -42, 
##     -41, -42, -41, -44, -53, -53, -53, -58, -60, -58, -51, -49, 
##     -49, -35, -32, -3, -25, -19, -34, -16, -16, -15, -1, 2, -8, 
##     -18, -27, -38, -54, -47, -49, -41, -37, -30, -30, -24, -19, 
##     2, 108, 79, 10, -97, -20, -16, 1, -15, 9, 23, 29, 30, 34, 
##     46, 47, 44, 26, 18, -22, -28, -29, -36, -44, -50, -51, -54, 
##     -57, -53, -47, -42, -42, -33, -32, -21, -14, -17, -18, -19, 
##     -26, 4, 2, -4, 7, 14, 8, -5, -1, -112, -233, -246, -284, 
##     -204, -207, -190, -147, -86, -128, -119, -143, -146, -171, 
##     -172, -170, -139, -106, -117, -121, -151, -165, -164, -170, 
##     -136, -123, -111, -123, -122, -135, -140, -162, -174, -193, 
##     -201, -229, -231, -251, -322, -302, -285, -263, -111, -146, 
##     -99, -137, -152, -167, -159, -160, -156, -178, -159, -160, 
##     -152, -148, -146, -136, -127, -187, -320, -270, -266, -228, 
##     -208, -103, -106, -165, -167, -145, -148, -129, -127, -199, 
##     -191, -188, -131, -131, -126, -144, -143, -141, -146, -97, 
##     -156, -199, -149, -124, -121, -131, -94, -161, -155, -143, 
##     -124, -114, -125, -151, -177, -182, -189, -191, -173, -171, 
##     -163, -157, -149, -139, -139, -134, -116, -233, -246, -268, 
##     -343, -368, -303, -269, -245, -177, -144, -164, -317, -295, 
##     -278, -157, -141, -84, -94, -107, -195, -194, -192, -193, 
##     -188, -167, -167, -161, -162, -166, -167, -164, -157, -156, 
##     -160, -163, -168, -161, -163, -168, -169, -168, -161, -160, 
##     -160, -159, -161, -164, -162, -158, -164, -167, -171, -171, 
##     -167, -159, -156, -162, -161, -167, -170, -168, -163, -171, 
##     -171, -179, -179, -174, -8, 1, 1, 0, 60, 45, 38, 19, 39, 
##     43, 40, 34, 23, -1, 3, 9, 30, -176, -164, -162, -161, -161, 
##     -157, -162, -164, -167, -166, -165, -173, -165, -165, -166, 
##     -163, -168, -127, -135, -133, -140, -143, -138, -143, -194, 
##     -207, -214, -242, -225, -219, -249, -126, -125, -123, -133, 
##     -149, -145, -145, -152, -170, -192, -211, -240, -235, -252, 
##     -237, -223, -183, -153, -131, -182, -169, -196, -192, -161, 
##     -169, -185, -191, -190, -191, -191, -193, -189, -179, 227, 
##     228, 229, 226, 228, 228, 226, 226, 228, 228, 226, 225, 225, 
##     228, 203, 193, 172, 192, 174, 174, 183, 168, 173, 169, 177, 
##     184, 197, 201, 202, 196, 193, 174, 181, 171, 159, 143, 138, 
##     128, 113, 127, 116, 130, 119, -197, -190, -148, -159, -197, 
##     -183, -104, -150, -155, -158, -158, -163, -188, -193, -197, 
##     -252, -283, -391, -370, -141, -145, -154, -171, -191, -209, 
##     -225, -242, -315, -270, -228, -210, -147, -72, -169, -161, 
##     -131, -137, -155, -160, -158, -164, -189, -371, -359, -266, 
##     -275, -221, -133, -115, -133, -152, -168, -155, -179, -222, 
##     -374, -325, -296, -281, -263, -148, -121, -109, -152, -162, 
##     -155, -141, -183, -174, -171, -145, -140, -118, -119, -184, 
##     -206, -178, -171, -191, -201, -222, -198, -229, -231, -223, 
##     -203, -187, -198, -210, -216, -252, -282, -266, -240, -243, 
##     -228, -211, -171, -174, -163, -161, -179, -144, -143, -165, 
##     -193, -194, -195, -197, -190, -181, -177, -170, -175, -188, 
##     -207, -186, -176, -183, -187, -188, -189, -191, -204, -196, 
##     -197, -247, -257, -267, -287, -302, -281, -264, -255, -256, 
##     -245, -237, -234, 33, 7, 0, -14, -9, -14, -53, 5, 8, 3, -4, 
##     0, -17, -30, -37, -43, -51, -52), magnet_forearm_x = c(-18, 
##     -16, -9, -22, -17, -11, -15, -13, -16, -10, -9, -11, -10, 
##     -14, -16, -14, -4, -19, -15, -14, -15, -17, -11, -11, -14, 
##     -3, -12, -10, -16, -10, -12, -20, -11, -16, -17, -13, -12, 
##     -13, -11, -17, -13, -10, -17, -13, -6, -5, -10, -9, -5, -9, 
##     -12, -21, -15, -12, -20, -14, -18, -16, -10, -9, -16, -19, 
##     -13, -9, -4, -10, -9, -7, -10, -10, -17, -7, -12, -4, -12, 
##     -12, -11, -16, -7, -11, -11, -11, -6, -10, -9, -11, -13, 
##     -7, -14, -18, -11, -6, -9, -12, -8, -4, -8, -7, -12, -7, 
##     -11, -139, -146, -145, -147, -148, -153, -153, -154, -151, 
##     -153, -148, -149, -151, -148, -150, -148, -147, -152, -144, 
##     -141, -149, -146, -151, -156, -153, -155, -152, -160, -153, 
##     -154, -159, -163, -156, -152, -157, -153, -150, -157, -150, 
##     -159, -154, -159, -151, -145, -148, -142, -141, -136, -135, 
##     -127, -135, -133, -131, -132, -124, -127, -121, -112, -135, 
##     -140, -165, -174, -175, -165, -157, -159, -150, -142, -128, 
##     -126, -131, -131, -142, -148, -146, -156, -155, -157, -181, 
##     -186, -182, -180, -176, -169, -166, -169, -167, -169, -163, 
##     -154, -152, -157, -151, -155, -163, -161, -156, -151, -162, 
##     -163, -157, -162, -156, -154, -160, -155, -167, -167, -173, 
##     -169, -176, -188, -187, -176, -177, -172, -176, -171, -178, 
##     -170, -160, -167, -165, -163, -158, -164, -162, -155, -154, 
##     -705, -708, -678, -614, -578, -486, -480, -465, -540, -557, 
##     -612, -713, -714, -691, -678, -627, -404, -272, -227, -199, 
##     -186, -188, -193, -206, -274, -285, -344, -365, -425, -468, 
##     -545, -578, -629, -635, -697, -694, -680, -638, -607, -597, 
##     -520, -461, -556, -578, -614, -656, -601, -520, -441, -414, 
##     -396, -284, -262, -176, -147, -126, -152, -162, -217, -255, 
##     -324, -335, -372, -389, -468, -559, -622, -689, -704, -707, 
##     -568, -533, -499, -430, -413, -391, -324, -274, -238, -229, 
##     -181, -195, -182, -197, -244, -278, -347, -391, -541, -550, 
##     -596, -624, -687, -707, -664, -516, -431, -380, -399, -420, 
##     -445, -519, -588, -608, -627, -642, -660, -711, -707, -655, 
##     -647, -620, -574, -499, -498, -467, -440, -426, -387, -283, 
##     -267, -245, -235, -233, -234, -238, -262, -486, -628, -700, 
##     -683, -540, -522, -495, -431, -448, -227, -232, -243, -306, 
##     -334, -483, -501, -657, -697, -704, -705, -687, -689, -680, 
##     -616, -607, -530, -441, -438, -256, -238, -257, -301, -360, 
##     -378, -564, -542, -702, -713, -715, -708, -700, -699, -667, 
##     -651, -571, -513, -627, -655, -674, -678, -707, -716, -696, 
##     -604, -569, -432, -400, -363, -353, -270, 603, 634, 639, 
##     644, 637, 633, 624, 630, 621, 622, 620, 614, 618, 619, 630, 
##     627, 633, 655, 653, 661, 651, 649, 641, 640, 632, 636, 622, 
##     634, 635, 643, 651, 643, 647, 651, 646, 649, 651, 649, 659, 
##     657, 647, 650, 638, 656, 652, 656, 659, 657, 651, 649, 647, 
##     645, 651, 649, 657, 653, 660, 648, 647, 645, 648, 648, 657, 
##     656, 648, 648, 654, 654, 650, 651, 655, 650, 653, 655, 656, 
##     658, 656, 649, 660, 655, 653, 649, 654, 660, 661, 652, 642, 
##     648, 647, 656, 656, 657, 655, 650, 652, 653, 654, 647, 659, 
##     663, 654, 655, 652, 655, 661, 650, 646, 651, 648, 651, 656, 
##     652, 644, 657, 644, 651, 645, 644, 652, 651, 658, 659, 654, 
##     655, 657, 652, 644, 642, 650, 650, 649, 655, 655, 634, -601, 
##     -558, -487, -278, -203, -174, -147, -124, -135, -199, -274, 
##     -403, -487, 642, 650, 649, 650, 645, 639, 631, 628, 197, 
##     146, 130, 68, 53, 27, 32, 106, 114, 59, 43, -7, -123, -163, 
##     -183, -115, 564, 617, 648, 640, 617, 607, 597, 609, 609, 
##     603, -118, -122, -124, -124, -142, -147, -162, -162, -167, 
##     -112, -117, -108, -99, -107, -112, -134, -149, -191, -140, 
##     -121, -113, -132, -143, -146, -145, -133, -144, -138, -114, 
##     -116, -118, -108, -112, -112, -131, -128, -113, -114, -120, 
##     -125, -132, -134, -133, -182, -166, -150, -122, -139, -136, 
##     -138, -135, -143, -146, -143, -153, -160, -164, -167, -159, 
##     -165, -167, -174, -174, -176, -180, -178, -182, -182, -196, 
##     -224, -219, -243, -258, -271, -268, -267, -258, -228, -218, 
##     -223, -185, -186, -137, -120, -95, -85, -85, -88, -87, -31, 
##     -34, -26, -39, -38, -42, -58, -59, -65, -43, -50, -52, -56, 
##     -58, -58, -59, -53, -58, -62, -51, -41, -48, -47, -63, -85, 
##     -131, -198, -313, -375, -451, -491, -606, -630, -651, -659, 
##     -666, -674, -695, -699, -702, -692, -682, -679, -680, -667, 
##     -608, -589, -582, -562, -546, -521, -516, -295, -264, -171, 
##     -173, -159, -127, -121, -113, -120, -111, -108, -103, -105, 
##     -100, -103, -113, -113, -160, -257, -303, -429, -567, -685, 
##     -689, -695, -674, -646, -596, -584, -646, -584, -518, -423, 
##     -398, -375, -328, -293, -264, -245, -212, -174, -166, -148, 
##     -141, -132, -118, -113, -94, -89, -249, -566, -591, -633, 
##     -701, -703, -637, -630, -619, -610, -607, -587, -586, -575, 
##     -558, -550, -577, -603, -657, -665, -681, -689, -711, -704, 
##     -708, -698, -632, -526, -456, -436, -395, -356, -252, -223, 
##     -158, -152, -139, -108, -106, -106, -107, -101, -99, -91, 
##     -85, -85, -89, -96, -146, -220, -279, -299, -363, -385, -442, 
##     -502, -606, -702, -708, -695, -698, -652, -593, -590, -584, 
##     -599, -597, -609, -672, -685, -678, -664, -639, -607, -484, 
##     -475, -460, -446, -388, -379, -159, -139, -107, -82, -87, 
##     -81, -213, -259, -318, -323, -385, -425, -591, -699, -703, 
##     -694, -643, -583, -441, -389, -358, -275, -273, -197, -162, 
##     -122, -115, -112, -110, -108, -110, -121, -212, -320, -513, 
##     -535, -568, -583, -631, -654, -665, -692, -714, -707, -682, 
##     -655, -632, -619, -589, -544, -534, -541, -540, -536, -531, 
##     -536, -535, -539, -550, -578, -601, -705, -708, -697, -679, 
##     -663, -665, -600, -539, -529, -510, -450, -433, -419, -394, 
##     -381, -358, -601, -558, -552, -547, -542, -545, -541, -534, 
##     -539, -533, -540, -534, -541, -543, -540, -550, -567, -589, 
##     -607, -630, -648, -661, -666, -451, -463, -455, -462, -461, 
##     -456, -455, -457, -454, -462, -462, -460, -464, -464, -462, 
##     -455, -454, -454, -457, -457, -454, -457, -456, -456, -465, 
##     -450, -457, -459, -457, -462, -459, -462, -465, -458, -467, 
##     -459, -461, -459, -458, -457, -463, -461, -460, -460, -457, 
##     -466, -466, -462, -462, -457, -482, -494, -491, -494, -495, 
##     -491, -499, -492, -511, -505, -519, -516, -518, -514, -517, 
##     -520, -521, -523, -523, -505, -499, -440, -295, 254, 588, 
##     598, 601, 601, 402, 376, 303, 296, 283, 298, 312, 435, 448, 
##     472, 485, 482, 485, 469, 452, 425, 390, 208, 44, 30, -121, 
##     -158, -203, -280, -307, -324, -338, -368, -459, -534, -542, 
##     -575, -585, -591, -594, -549, -535, -508, -389, -275, -101, 
##     211, 307, 490, 596, 625, 629, 614, 592, 500, 444, 401, 325, 
##     255, 183, 135, -589, -592, -599, -608, -609, -589, -555, 
##     -500, -478, -436, -410, -258, -188, 128, 171, 386, 554, 503, 
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##     129, 128, 132, 124, 120, 122, 117, 122, 123, 118, 119, 121, 
##     118, 124, 120, 118, 118, 122, 122, 123, 121, 119, 118, 114, 
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##     117, 114, 120, 118, 122, 121, 123, 124, 121, 119, 113, 121, 
##     120, 120, 118, 116, 112, 124, 120, 124, 122, 117, 126, 123, 
##     124, 124, 122, 124, 118, 124, 122, 124, 118, 120, 126, 120, 
##     119, 114, 110, 114, 120, 118, 114, 120, 132, 124, 122, 117, 
##     123, 127, 123, 129, 122, 127, 114, 123, 118, 125, 119, 127, 
##     127, 124, 135, 124, 124, 127, 122, 126, 123, 122, 125, 123, 
##     121, 119, 124, 125, 127, 130, 127, 122, 126, 119, 115, 121, 
##     120, 129, 125, 127, 120, 124, 125, 122, 125, 122, 127, 129, 
##     129, 121, 125, 127, 126, 132, 122, 126, 131, 125, 127, 127, 
##     126, 124, 127, 128, 123, 127, 127, 122, 120, 123, 123, 124, 
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##     -560, -574, -42, -48, -45, -42, -46, -47, -43, -42, -36, 
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##     -372, -362, -366, -366, -375, -379, -379, -375, -368, 75, 
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##     121, 122, 120, 120, 121, 125, 119, 124, 127, 120, 125, 121, 
##     116, 122, 132, 129, 125, 125, 139, 135, 133, 125, 146, 144, 
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##     -334, -297, -201, -128, -134, -173, -362, -418, -510, -531, 
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##     -617, -648, -649, -656, -658, -653, -621, -590, -553, -534, 
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##     -349, -185, -86, 334, 536, 543, 519, 459, 248, 218, 154, 
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##     -731, -747, -746, -743, -745, -724, -686, -392, -142, 104, 
##     155, 313, 394, 436, 447, 471, 358, 209, 54, -8, -140, -170, 
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##     -449, -438, -440, -437, -433, -437, -435, -480, -508, -541, 
##     -595, -631, -635, -663, -671, -694, -702, -701, -668, -671, 
##     -624, -607, -611, -626, -638, -645, -658, -652, -678, -707, 
##     -712, -702, -695, -685, -640, -580, -567, -529, -525, -521, 
##     -515, -501, -489, -486, -490, -541, -558, -619, -636, -688, 
##     -696, -711, -704, -675, -662, -614, -580, -550, -523, -501, 
##     -496, -465, -459, -465, -457, -520, -542, -669, -697, -677, 
##     -617, -501, -488, -493, -508, -508, -508, -518, -522, -523, 
##     -531, -540, -592, -658, -684, -706, -715, -688, -565, -485, 
##     -425, -384, -372, -334, -307, -173, -142, -116, -85, 65, 
##     64, 66, 63, 56, 51, 51, 44, 39, 14, 18, 8, 4, 0, -6, -13, 
##     -23, -33, -40, -41, -46, -41, -20, -7, -8, 4, 12, 67, 80, 
##     85, 79, 91, 91, 98, 98, 98, 100, 101, 103, 91, 86, -43, -274, 
##     -334, -678, -706, -686, -620, -482, -421, -306, -242, -105, 
##     -26, 15, 50, 45, 4, -29, -72, -108, -223, -293, -318, 56, 
##     53, 71, 78, -592, -667, -697, -368, -573, -586, -633, -657, 
##     -674, -697, -707, -669, -511, -472, -7, 4, 12, 24, 29, 27, 
##     47, 52, 73, 91, 82, 78, 88, 80, 76, 72, -667, -677, -692, 
##     -707, -701, -663, -644, -581, -550, -558, -561, -592, -644, 
##     -630, -263, 3, -49, -309, -369, -459, -675, -701, -709, -648, 
##     -541, -217, -174, -183, -193, -531, -603, -420, -375, -251, 
##     -223, -211, -225, -322, -367, -507, -629, -665, -712, -697, 
##     -544, -483, -447, -369, -181, -114, -89, -6, -49, -75, -153, 
##     -707, -678, -545, -346, -308, -205, -182, -162, -159, -201, 
##     -387, -412, -588, -695, -703, -709, -690, -484, -16, -284, 
##     -321, -464, -492, -641, -713, -675, -626, -520, -460, -321, 
##     -265, -142, -142, -179, -647, -610, -575, -439, -355, -252, 
##     -228, -170, -172, -203, -323, -454, -478, -589, -662, -610, 
##     -481, -335, -244, -138, -115, -101, -82, -88, -87, -111, 
##     -155, -163, -201, -227, -312, -419, -600, -625, -681, -262, 
##     -219, -105, 20, 27, -54, -230, -360, -658, -703, -633, -3, 
##     -182, -391, -677, -578, -445, -247, -233, -216, -226, -235, 
##     -235, -245, -261, -253, -262, -260, -256, -261, -253, -244, 
##     -236, -234, -236, -232, -235, -239, -39, -34, -30, -26, -33, 
##     -35, -33, -30, -33, -42, -49, -63, -72, -71, -75, -71, -67, 
##     -54, -27, -26, -28, -35, -35, -33, -34, -34, -42, -38, -35, 
##     -504, -528, -561, -591, -653, -585, -516, -394, -307, -284, 
##     -252, -241, -210, -133, -104, -97, -102, -101, -81, -76, 
##     -84, -68, -67, -65, -68, -59, -61, -58, -60, -52, -54, -52, 
##     -57, -57, 18, 16, 14, -56, -79, -169, -539, -616, -567, -538, 
##     -361, -311, -236, -185, -28, -153, -449, -528, -608, -652, 
##     -652, -683, -677, -631, -599, -472, -440, -311, -442, -545, 
##     -657, -673, -657, -324, -285, -190, -158, -50, -48, -50, 
##     -67, -72, -72, -72, -80, -89, -99, -1270, -1270, -1270, -1280, 
##     -1270, -1270, -1270, -1270, -1270, -1270, -1270, -1270, -1270, 
##     -1270, 584, 535, 245, 32, 440, 474, 505, 530, 538, 447, 420, 
##     415, 391, 376, 363, 334, 323, 284, 312, 487, 499, 506, 496, 
##     470, 393, 315, 245, 125, 319, -421, -375, -178, -126, -89, 
##     -140, -381, -554, -596, -632, -680, -670, -535, -504, -445, 
##     -165, -10, 76, 62, -700, -699, -653, -617, -465, -391, -281, 
##     -170, -35, -358, -394, -454, -678, -712, -309, -324, -371, 
##     -450, -710, -627, -599, -560, -471, 6, 4, -250, -316, -420, 
##     -664, -706, -600, -650, -671, -647, -534, -224, -51, -103, 
##     -238, -259, -312, -598, -608, -466, -342, -297, -264, -220, 
##     -192, -207, -217, -312, -325, -472, -511, -525, -409, -204, 
##     -102, -94, -87, -112, -529, -686, -680, -661, -494, -344, 
##     -459, -190, -165, -4, 52, 52, -3, -10, -311, -481, -657, 
##     -695, -698, -684, -571, -684, -644, -447, -317, -317, -317, 
##     -335, -368, -455, -495, -600, -657, -692, -601, -475, -534, 
##     -611, -643, -664, -673, -692, -644, -306, -233, 215, 250, 
##     305, 353, 411, 413, 389, 379, 306, 224, 185, 157, -703, -463, 
##     -204, -92, -68, 2, 109, -706, -699, -683, -672, -592, -377, 
##     -226, -205, -151, -68, -60), magnet_forearm_y = c(658, 658, 
##     660, 656, 657, 657, 655, 653, 653, 657, 657, 654, 653, 667, 
##     658, 657, 661, 653, 650, 656, 651, 656, 658, 655, 656, 653, 
##     648, 655, 653, 656, 653, 660, 649, 655, 650, 655, 649, 655, 
##     667, 652, 657, 655, 656, 655, 648, 653, 653, 656, 656, 657, 
##     652, 658, 656, 653, 663, 660, 655, 653, 662, 657, 654, 659, 
##     656, 655, 651, 660, 656, 653, 656, 655, 650, 654, 654, 648, 
##     656, 659, 659, 659, 659, 647, 655, 652, 654, 654, 655, 656, 
##     655, 658, 653, 653, 656, 654, 659, 653, 652, 647, 648, 655, 
##     655, 655, 654, 741, 744, 749, 751, 751, 756, 751, 752, 756, 
##     746, 746, 754, 751, 751, 749, 746, 749, 750, 751, 751, 750, 
##     753, 755, 755, 754, 753, 751, 754, 753, 756, 758, 765, 759, 
##     759, 764, 752, 757, 764, 758, 757, 766, 757, 760, 762, 763, 
##     760, 757, 749, 752, 745, 741, 735, 734, 726, 727, 731, 717, 
##     717, 726, 731, 743, 739, 749, 757, 752, 752, 758, 749, 748, 
##     744, 751, 746, 752, 749, 746, 747, 752, 747, 757, 754, 756, 
##     751, 751, 754, 751, 753, 746, 742, 733, 741, 739, 740, 737, 
##     740, 744, 744, 747, 739, 740, 741, 744, 740, 748, 737, 743, 
##     743, 743, 749, 746, 749, 750, 761, 751, 750, 750, 746, 753, 
##     750, 752, 750, 747, 749, 745, 739, 742, 748, 744, 744, 747, 
##     293, 263, 130, -73, -141, -294, -305, -332, -222, -189, -81, 
##     346, 414, 483, 556, 643, 779, 783, 771, 764, 757, 751, 752, 
##     756, 770, 771, 772, 765, 747, 732, 679, 649, 560, 542, 275, 
##     228, 129, -25, -76, -108, -244, -338, -185, -145, -84, 24, 
##     672, 734, 761, 775, 787, 780, 779, 749, 751, 732, 742, 743, 
##     760, 773, 776, 781, 781, 771, 742, 697, 613, 454, 340, 295, 
##     722, 736, 758, 786, 785, 784, 791, 785, 774, 775, 759, 759, 
##     765, 765, 776, 773, 781, 783, 718, 702, 658, 626, 476, 253, 
##     56, -245, -365, -419, -395, -378, -341, -234, -129, -79, 
##     -29, 1, 54, 357, 413, 616, 631, 679, 716, 768, 768, 772, 
##     790, 783, 786, 780, 783, 781, 769, 780, 779, 780, 779, 747, 
##     607, 294, 137, -215, -242, -293, -370, -349, 773, 772, 778, 
##     788, 778, 751, 748, 557, 424, 317, 280, 179, 150, 94, -53, 
##     -82, -225, -359, -363, 779, 778, 778, 784, 789, 774, 686, 
##     -215, 194, 264, 284, 430, 480, 191, 68, 15, -144, -233, -40, 
##     34, 90, 125, 269, 410, 516, 688, 713, 782, 791, 784, 794, 
##     787, -311, -255, -241, -221, -229, -239, -249, -258, -265, 
##     -282, -285, -301, -318, -310, -277, -263, -250, -172, -137, 
##     -136, -144, -160, -202, -213, -248, -244, -257, -251, -232, 
##     -207, -176, -190, -200, -208, -191, -191, -146, -157, -157, 
##     -172, -183, -239, -239, -165, -132, -112, -128, -168, -196, 
##     -201, -212, -214, -204, -192, -158, -143, -133, -167, -198, 
##     -199, -207, -166, -125, -121, -123, -118, -129, -147, -169, 
##     -176, -186, -191, -191, -137, -130, -140, -165, -182, -184, 
##     -177, -174, -164, -140, -134, -131, -167, -173, -165, -165, 
##     -123, -117, -156, -188, -178, -152, -142, -128, -89, -93, 
##     -96, -101, -168, -147, -149, -138, -124, -157, -183, -182, 
##     -161, -134, -181, -187, -203, -206, -206, -201, -194, -177, 
##     -166, -165, -162, -167, -165, -182, -208, -211, -238, -197, 
##     -183, -170, -177, -195, -282, 656, 704, 746, 775, 769, 751, 
##     742, 741, 749, 772, 779, 786, 765, -252, -231, -213, -219, 
##     -232, -261, -251, -220, 349, 293, 314, 482, 495, 409, 335, 
##     353, 412, 536, 539, 619, 654, 703, 802, 873, -377, -319, 
##     -199, -200, -210, -217, -221, -314, -339, -346, 866, 874, 
##     865, 838, 781, 786, 864, 862, 866, 859, 864, 865, 859, 862, 
##     870, 847, 851, 833, 823, 785, 784, 765, 771, 771, 772, 773, 
##     776, 771, 715, 725, 738, 737, 708, 707, 714, 719, 711, 711, 
##     712, 720, 719, 708, 717, 748, 742, 738, 733, 740, 747, 761, 
##     764, 761, 763, 769, 776, 777, 773, 780, 777, 778, 772, 790, 
##     783, 783, 785, 784, 785, 789, 790, 817, 815, 822, 826, 834, 
##     830, 820, 816, 782, 771, 764, 748, 742, 737, 735, 727, 722, 
##     725, 727, 727, 713, 720, 714, 725, 725, 733, 733, 736, 725, 
##     726, 720, 732, 731, 728, 725, 729, 728, 732, 724, 727, 713, 
##     714, 710, 719, 726, 742, 752, 763, 742, 703, 683, 572, 537, 
##     523, 481, 97, 119, 236, 304, 331, 381, 431, 483, 506, 562, 
##     643, 670, 679, 704, 716, 736, 746, 795, 792, 780, 786, 778, 
##     766, 763, 760, 754, 757, 744, 750, 748, 752, 751, 749, 749, 
##     764, 772, 784, 752, 657, 403, 319, 251, 148, 28, -83, -108, 
##     624, 710, 768, 801, 812, 807, 807, 794, 798, 797, 791, 781, 
##     780, 780, 768, 759, 763, 756, 757, 751, 790, 688, 667, 598, 
##     387, 329, 8, -1, -26, -43, -69, -108, -110, -116, -149, -154, 
##     -111, -76, 82, 98, 169, 194, 346, 400, 420, 476, 664, 771, 
##     803, 808, 817, 815, 783, 772, 765, 760, 769, 758, 752, 746, 
##     748, 751, 748, 743, 747, 741, 737, 746, 770, 791, 793, 790, 
##     797, 792, 771, 736, 642, 319, 302, 264, 241, 60, -88, -94, 
##     -84, -73, -62, -46, 122, 178, 584, 621, 670, 718, 810, 809, 
##     809, 814, 820, 830, 783, 781, 766, 755, 752, 756, 804, 815, 
##     820, 822, 817, 807, 699, 498, 415, 217, 43, 751, 822, 824, 
##     828, 821, 822, 801, 791, 768, 771, 761, 761, 762, 764, 763, 
##     800, 807, 759, 751, 712, 706, 651, 616, 598, 519, 368, 297, 
##     156, 69, 22, -17, -80, -169, -165, -171, -175, -176, -175, 
##     -180, -188, -177, -155, -111, -52, 359, 415, 495, 584, 619, 
##     633, 731, 775, 779, 793, 814, 824, 827, 825, 831, 824, -36, 
##     -121, -146, -145, -157, -155, -156, -164, -166, -168, -169, 
##     -166, -161, -162, -157, -155, -122, -77, -43, 4, 62, 96, 
##     138, 966, 976, 973, 960, 965, 965, 972, 972, 967, 963, 972, 
##     974, 975, 975, 972, 964, 966, 976, 973, 977, 969, 972, 978, 
##     968, 969, 972, 974, 972, 969, 976, 977, 978, 978, 980, 981, 
##     979, 981, 981, 970, 976, 979, 988, 978, 977, 982, 975, 979, 
##     984, 981, 980, 997, 991, 998, 997, 999, 1000, 992, 996, 1010, 
##     1020, 1010, 1020, 1010, 1020, 1020, 1020, 1020, 1030, 1030, 
##     1020, 1010, 979, 859, 247, -402, -448, -562, -592, -714, 
##     -713, -699, -697, -687, -687, -685, -665, -644, -611, -574, 
##     -554, -451, -297, -243, -157, -66, 281, 510, 530, 703, 747, 
##     788, 866, 883, 906, 913, 934, 1010, 1050, 1060, 1080, 1080, 
##     1090, 1100, 1070, 1060, 1040, 950, 857, 681, 310, 161, -163, 
##     -423, -533, -596, -646, -703, -772, -775, -777, -760, -734, 
##     -712, -693, 1110, 1100, 1100, 1120, 1120, 1120, 1110, 1060, 
##     1050, 1010, 979, 849, 777, 413, 364, 6, -518, -641, -667, 
##     -670, -665, -674, -655, -660, -669, -677, -669, -683, -664, 
##     -647, -425, -153, -106, 37, 128, 1190, 1200, 1180, 1190, 
##     1120, 1010, 975, 897, 522, 476, 206, -365, -487, -579, -627, 
##     -687, -655, -678, -692, -714, -732, -748, -712, -594, 52, 
##     304, 724, 802, 841, 937, 1070, 1130, -324, -236, 217, 464, 
##     533, 560, 781, 976, 1020, 1140, 1130, 1150, 1160, 1170, 1160, 
##     1160, 621, 504, 122, -55, -412, -536, -736, -761, -715, -719, 
##     -719, -724, -733, -760, -765, -782, -677, -183, -27, 366, 
##     545, 789, 855, 883, 988, 1020, 1040, 1080, 1120, 1180, 1180, 
##     1190, 1210, 1200, 1200, 1200, 1200, 1190, 1200, 1200, 1190, 
##     1190, 1160, 1060, 1040, 766, 626, 519, 454, 130, -445, -489, 
##     -795, -805, -764, -733, -741, -755, -795, -833, -844, -842, 
##     -678, -614, -577, -514, 1160, 1170, 1170, 1160, 965, 513, 
##     14, -112, -177, -352, -668, -728, -758, -774, -786, -784, 
##     -781, -776, -800, -851, -849, -626, -286, 614, 692, 1190, 
##     1170, 1150, 1150, 1150, 1160, 1160, 1170, 1140, 1130, 1100, 
##     1050, 936, 842, 576, 7, -145, -292, -535, -602, -742, -769, 
##     -809, -834, -839, -838, -873, -860, -525, -125, -12, 28, 
##     656, 967, 1170, 1200, 1290, 1320, 1310, 1270, 1250, 1240, 
##     1240, 1290, 1260, 795, 652, 582, -807, -787, -799, -810, 
##     -823, -807, -785, -641, -400, -358, -187, 220, 320, 534, 
##     799, 864, 876, 541, 543, 522, 521, 523, 531, 525, 523, 519, 
##     523, 526, 529, 536, 541, 539, 541, 542, 538, 536, 535, 536, 
##     543, 538, 538, 542, 538, 545, 541, 542, 541, 534, 531, 539, 
##     537, 530, 539, 534, 535, 537, 530, 535, 542, 532, 541, 533, 
##     534, 537, 540, 535, 542, 538, 539, 536, 531, 542, 540, 541, 
##     544, 534, 535, 534, 536, 535, 521, 532, 534, 540, 534, 534, 
##     539, 530, 531, 526, 535, 534, 537, 535, 531, 532, 535, 530, 
##     528, 528, 524, 525, 528, 531, 527, 521, 533, 530, 531, 537, 
##     540, 533, 538, 534, 534, 531, 533, 538, 528, 529, 532, 534, 
##     537, 529, 531, 535, 529, 532, 528, 528, 534, 529, 532, 533, 
##     527, 536, 528, 531, 540, 534, 540, 532, 531, 531, 530, 539, 
##     535, 530, 542, 549, 541, 536, 543, 536, 535, 539, 538, 540, 
##     536, 542, 543, 542, 545, 552, 551, 539, 549, 542, 544, 545, 
##     553, 557, 544, 546, 545, 539, 550, 550, 567, 560, 560, 564, 
##     564, 558, 560, 554, 561, 560, 562, 556, 559, 555, 560, 562, 
##     555, 560, 561, 559, 573, 566, 571, 567, 562, 566, 562, 551, 
##     562, 553, 560, 560, 560, 563, 563, 561, 560, 576, 567, 581, 
##     577, 566, 562, 567, 565, 575, 572, 568, 562, 563, 569, 656, 
##     657, 660, 650, 655, 655, 655, 658, 652, 655, 656, 658, 656, 
##     647, 650, 653, 653, 647, 651, 652, 650, 653, 652, 648, 645, 
##     652, 647, 654, 654, 652, 652, 648, 646, 654, 645, 651, 654, 
##     650, 654, 657, 649, 653, 653, 658, 651, 661, 657, 661, 655, 
##     654, 653, 660, 649, 647, 650, 654, 653, 653, 655, 663, 660, 
##     659, 657, 657, 654, 655, 654, 658, 660, 651, 651, 655, 655, 
##     655, 648, 651, 650, 650, 648, 654, 654, 659, 650, 659, 659, 
##     649, 662, 656, 662, 660, 653, 659, 656, 657, 658, 661, 659, 
##     665, 662, 657, 663, 660, 667, 660, 669, 661, 662, 660, 665, 
##     659, 663, 668, 665, 667, 663, 671, 672, 661, 667, 667, 689, 
##     700, 721, 725, 725, 721, 722, 719, 716, 698, 692, 682, 680, 
##     617, 556, 391, 362, 165, 95, -131, -229, -246, -330, -462, 
##     -485, -499, -482, -471, -452, -408, -390, -314, -305, -279, 
##     -233, -78, 33, 48, 267, 340, 610, 697, 721, 733, 724, 732, 
##     725, 720, 704, 698, 702, 689, 688, 691, 707, 716, 711, 716, 
##     711, 684, 668, 606, 309, 187, 158, 67, -419, -469, -472, 
##     -467, -343, -316, -295, -234, -189, -104, -41, 25, 246, 381, 
##     466, 549, 714, 725, 737, 749, 718, 722, 726, 743, 750, 668, 
##     425, 298, 152, -83, -166, -386, -401, -434, -445, -414, -299, 
##     -273, -159, -97, 124, 152, 369, 423, 667, 718, 742, 722, 
##     711, 708, 731, 743, 752, 766, 762, 707, 666, 521, 318, 166, 
##     136, 12, -131, -173, -296, -414, -447, -390, -309, -224, 
##     159, 432, 591, 687, -235, -458, -415, -338, -245, -168, 118, 
##     157, 314, 462, 545, 638, 673, 690, 719, 736, 731, 729, 680, 
##     654, 655, 652, 663, 685, 718, 734, 738, 690, 667, 265, 163, 
##     97, 16, -70, -125, -190, -369, -439, -432, -413, -347, -330, 
##     -291, -223, 56, 152, 265, 301, 365, 564, 686, 735, 741, 729, 
##     723, 711, 711, 699, 691, 684, 696, 752, 725, 700, 649, 476, 
##     447, 388, 226, 141, -68, -104, -446, -437, -410, -384, -248, 
##     -126, -96, 48, 295, 449, 493, 606, 651, 687, 694, 706, 720, 
##     737, 739, 743, 734, 722, 723, 700, 690, 694, 695, 718, 721, 
##     741, 474, 203, 147, -47, -190, -301, -367, -371, -347, -298, 
##     -275, -135, -3, 567, 561, 571, 565, 569, 562, 567, 568, 569, 
##     573, 559, 563, 559, 562, 556, 556, 561, 564, 568, 567, 561, 
##     560, 568, 562, 557, 556, 558, 556, 555, 572, 564, 565, 561, 
##     560, 560, 550, 552, 553, 561, 561, 560, 560, 559, 558, 557, 
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##     635, 658, 675, 685, 695, 694, 701, 701, 697, 695, 688, 688, 
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##     -614, -619, -613, -605, -593, -588, -566, -461, -326, 209, 
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##     434, -30, -486, -646, -603, -599, -556, -303, 398, 446, 543, 
##     628, 722, 647, 695, 730, 754, 791, 685, 638, 629, 647, 657, 
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##     704, 703, 686, 681, -80, -66, -24, -14, 5, 27, 28, 94, 120, 
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##     721, 719, 706, 714, 707, 680, 689, 684, 685, 678, 674, 676, 
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##     -423, -288, -260, -200, 161, 187, 265, 302, 364, 762, 814, 
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##     832, 821, 666, 630, 494, 377, 200, 167, 93, -323, -109, 11, 
##     257, 486, 734, 768, 809, 835, 822, 828, 816, 806, 796, 780, 
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##     -574, -534, -348, -176, 163, 420, 497, 566, 623, 661, 671, 
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##     703, 706, 713, 726, 740, 765, 747, 752, 753, 756, 733, 720, 
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##     724, 777, 788, 790, 807, 777, 667, 479, 146, 608, 608, 605, 
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##     704, 709, 716, 711, 718, 714, 718, 719, 720, 721, 713, -461, 
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##     64, -319, -394, -448, -25, 2, 172, 224, 250, 422, 435, 437, 
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##     -75, -252, -305, -185, -161, -128, -107, -78, -31, 11, 159, 
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##     -360, -354, -291, -252, -200, -146, 49, 110, 143, 182, 390, 
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##     -92, -263, -309, -391, -383, -339, -327, -278, 50, 92, 256, 
##     267, 298, 360, 557, 569, 586, 602, 609, 646, 655, 657, 625, 
##     601, 543, 460, 187, 131, 98, 83, 38, 14, -84, -111, -129, 
##     -374, -391, -356, -342, -319, 29, 79, 214, 327, 550, 589, 
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##     -102, 102, 159, 393, 460, 488, 602, 627, 641, 654, 655, 634, 
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##     -229, -323, -340, -340, -387, -417, -434, -448, -407, -282, 
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##     608, -158, -389, -472, -586, -583, -587, -559, -560, -451, 
##     -183, 25, 67, 181, 715, 750, 888, 1010, 1080, 1120, 1160, 
##     1180, 1190, 1170, 1180, 1170, 1180, 1170, 1180, 1170, 1190, 
##     1140, 1100, -464, -204, 223, 753, 814, 1230, 1210, 1200, 
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##     -356, -504, -550, -659, -713, -595, -584, -590, -707, -359, 
##     -267, -66, 275, 391, 481, 541, 771, 967, 1110, 1340, 1220, 
##     1220, 1290, 1280, 1220, 1130, 1080, 811, 662, 222, -172, 
##     -384, -538, -639, -709, -741, -705, -627, -623, -721, -737, 
##     -594, -446, 244, 307, 810, 1420, 1410, 1220, 1220, 1220, 
##     1360, 1270, 1110, 1000, 178, 95, -132, -454, -509, -704, 
##     -749, -729, -675, -783, -707, -670, -273, 365, 485, 1030, 
##     1090, 1250, 1330, 1360, 1290, 1290, 1290, 1380, 1100, 1010, 
##     442, -47, -280, -479, -719, -752, -686, -720, -751, -805, 
##     -778, -212, -147, 105, 852, 1070, 1290, 1340, 1370, 1310, 
##     1270, 1250, 1240, 1260, 1210, 683, 455, 209, 48, -371, -426, 
##     -639, -747, -765, -756, -728, -704, -685, -669, -628, -675, 
##     -686, -705, -670, -650, -544, -457, -196, 13, 143, 847, 954, 
##     1100, 1480, 1260, 1240, 1230, 1240, 1360, 1380, 1190, 1100, 
##     1040, 938, 753, 384, 186, 36, -325, -483, -691, -786, -788, 
##     -718, -694, -649, -781, -791, -796, -797, -784, -765, -660, 
##     -487, -221, 115, 409, 459, 728, 824, 1260, 1380, 1250, 1240, 
##     1280, 1330, 1120, -810, -541, -454, 36, 269, 350, 394, 565, 
##     836, 946, 1060, -84, -21, 94, 696, 737, 719, 709, 698, 700, 
##     706, 686, 619, 425, 102, -21, -64, -119, -147, -207, -194, 
##     -187, 36, 133, 198, 364, 389, 499, 518, 550, 664, 675, 685, 
##     685, 692, 700, 701, 692, 691, 704, 702, 703, 709, 710, 703, 
##     707, 698, 704, 706, 707, 702, 707, 711, 711, 703, 706, 710, 
##     712, 634, 554, 430, 378, 330, 307, 177, -56, -294, -344, 
##     -381, -442, -480, -512, -507, -506, -285, -266, -110, 16, 
##     111, 407, 450, 448, 439, 415, 380, 348, 285, 230, 61, -18, 
##     -206, -283, -325, -339, -408, -478, -480, -473, -391, -296, 
##     -144, -72, 145, 291, 367, 413, 450, 576, 615, 620, 623, 607, 
##     579, 554, 533, 471, 456, 399, 359, 24, -382, -411, -460, 
##     -378, -19, 21, 51, 229, 578, 601, 614, 639, 643, 655, 650, 
##     657, 638, 629, 618, 534, 214, 158, 69, -23, -95, -145, -255, 
##     -448, -475, -459, -425, -310, -267, 91, 7, -54, -255, -305, 
##     -317, -363, -397, -449, -523, -515, -508, -450, -249, 22, 
##     90, 177, 395, 444, 480, 502, 494, 474, 444, 429, 235, 189, 
##     -154, -415, -491, -503, 621, 627, 551, 42, -192, -302, -287, 
##     -266, -234, 103, 458, 583, 587, 626, 632, 628, 611, 476, 
##     476, 349, 98, -44, -113, -188, -143, -115, 1, 131, 241, 320, 
##     549, 565, 631, 640, 649, 629, 620, 551, 466, 217, 2, -59, 
##     -87, -265, -289, 270, 330, 367, 417, 529, 623, 697, 704, 
##     661, 495, 408, 656, 650, 652, 656, 654, 546, 356, 271, 162, 
##     -11, -11, -11, -136, -216, -269, -320, -328, 367, 302, 136, 
##     32, -55, -297, -375, -190, 2, 152, 219, 317, 380, 481, 594, 
##     605, 607, 623, 596, 517, 394, 264, -248, -414, -449, -416, 
##     -332, -202, 0, 249, 499, 571, 615, 686, 583, 75, 19, -7, 
##     -199, -255, -299, -308, -308, -308, -315, -153, 61, 488, 
##     602, 610, 614, 604, 480, 302, 279, -24, -136, -310, -286, 
##     -217, -198, -161, 123, 123, 211, 367, 472, 676, 685, 636, 
##     596, 559, 522, 432, 19, -119, -284, -355, 566, 565, 568, 
##     559, 557, 561, 553, 560, 544, 552, 551, 547, 554, 557, 566, 
##     576, 574, 572, 570, 570, 576, 576, 572, 568, 560, 566, 560, 
##     567, 565, 564, 553, 553, 554, 560, 561, 572, 572, 572, 581, 
##     579, 584, 579, 572, 575, 574, 572, 575, 570, 574, 573, 572, 
##     572, 569, 576, 583, 586, 597, 596, 594, 619, 625, 626, 634, 
##     630, 624, 631, 619, 617, 619, 602, 568, 541, 509, 519, 519, 
##     523, 541, 599, 605, 609, 610, 603, 620, 610, 618, 618, 616, 
##     620, 620, 611, 616, 618, 615, 586, 616, 682, 758, 796, 807, 
##     809, 813, 822, 792, 745, 542, 548, 612, 744, 782, 803, 817, 
##     824, 799, 782, 768, 772, 751, 750, 728, 708, 708, 663, 628, 
##     598, 538, 518, 510, 495, 489, 491, 493, 506, 512, 672, 748, 
##     781, 798, 803, 810, 817, 812, 747, 826, 815, 802, 782, 768, 
##     755, 735, 597, 547, 538, 510, 492, 493, 817, 826, 828, 826, 
##     817, 811, 808, 805, 757, 713, 702, 647, 604, 608, 674, 765, 
##     767, 775, 788, 792, 790, 784, 744, 739, 722, 719, 717, 716, 
##     719, 714, 708, 723, 715, 719, 709, 719, 721, 713, 720, 726, 
##     743, 745, 746, -105, -121, -129, -121, -70, -44, -7, 51, 
##     136, 263, 431, 551, 626, 653, 669, 682, 686, 716, 723, 713, 
##     707, 690, 623, 584, 510, 49, -5, -16, -47, -52, -73, -88, 
##     -26, 15, 118, 194, 429, 503, 539, 660, 702, 760, 757, 757, 
##     756, 726, 613, 571, 496, 282, 235, 189, 120, 110, 79, 48, 
##     77, 95, 105, 139, 149, 248, 429, 493, 567, 661, 717, 721, 
##     717, 760, 762, 758, 736, 720, 707, 649, 607, 513, 490, 453, 
##     371, 312, 271, 716, 739, 758, 160, 110, 38, 30, 3, 3, 6, 
##     15, 17, 60, 82, 132, 180, 372, 393, 432, 491, 766, 774, 771, 
##     761, 712, 644, 555, 441, 200, 82, -28, 605, 585, 575, 561, 
##     566, 577, 586, 605, 589, 574, 565, 555, 573, 469, 465, 452, 
##     454, 445, 442, 449, 459, 479, 480, 507, 531, 556, 599, 619, 
##     640, 690, 722, 669, 655, 646, 642, 632, 635, 654, 686, 719, 
##     740, 768, 809, 707, 702, 704, 714, 715, 727, 736, 790, 799, 
##     820, 806, 806, 775, 743, 736, 712, 650, 638, 574, 552, 499, 
##     500, 499, 502, 507, 726, 694, 673, 657, 654, 653, 657, 658, 
##     722, 771, 779, 770, 763, 743, 686, 472, 426, 417, 225, 196, 
##     128, 167, 226, 282, 332, 428, 743, 750, 752, 750, 786, 786, 
##     782, 785, 777, 744, 731, 707, 701, 628, 602, 542, 323, 317, 
##     277, 279, 316, 359, 529, 536, 559, 703, 722, 741, 742, 752, 
##     768, 768, 767, 760, 725, 711, 702, 702, 696, 704, 698, 704, 
##     733, 735, 764, 781, 743, 731, 709, 706, 635, 579, 549, 492, 
##     451, 356, 312, 304, 294, 278, 273, 276, 278, 284, 302, 332, 
##     337, 444, 462, 684, 686, 687, 700, 742, 745, 750, 735, 725, 
##     714, 709, 695, 660, 653, 605, 592, 514, 459, 396, 381, 275, 
##     270, 770, 764, 747, 753, 754, 761, 757, 762, 755, 736, 738, 
##     636, 548, 533, 449, 456, 453, 463, 462, 453, 291, 2, -90, 
##     -155, -224, -237, -262, -410, -459, -405, -382, -368, -324, 
##     -18, -51, -112, -187, -194, -228, -231, -267, -359, -363, 
##     -379, -407, -403, -387, -383, -369, -338, -312, -255, -101, 
##     -44, 158, 182, 614, 615, 622, 613, 557, 271, -268, -213, 
##     -205, -168, -85, 154, 298, 403, 426, 504, 537, 597, 633, 
##     641, 659, 670, 672, 660, 635, 564, 268, 259, 254, 230, 225, 
##     223, 269, 280, 757, 510, 622, 628, 679, 706, 768, 773, 752, 
##     748, 747, 737, 720, 704, 687, 683, 677, 478, 488, 530, 562, 
##     600, 673, 688, 725, 746, 772, 777, 783, 780, 766, 767, 760, 
##     616, 614, 613, 616, 602, 600, 603, 600, 604, 604, -340, -255, 
##     -64, 2, 122, 227, 268, 375, 420, 475, 552, 592, 588, 594, 
##     555, 550, -61, 521, 569, 589, 614, 620, 617, 617, 256, 64, 
##     7, -30, -92, -201, -257, -294, -287, -287, -271, -271, 49, 
##     209, 504, 522, 555, 636, 517, 165, 25, -39, -757, -735, -636, 
##     -673, -684, -537, -252, 74, 1070, 1400, 1420, 1370, 1210, 
##     1210, 1210, 1200, 1210, 1210, 1250, 1340, 1360, 1320, 973, 
##     726, 1230, 850, 668, 480, -1, -72, -222, -613, -728, -767, 
##     -782, -774, -707, -646, -649, -685, -698, -733, -518, -186, 
##     -24, 124, 384, 630, 983, 1190, 1220, 1300, 1330, 1210, 1210, 
##     1210, 1200, 1220, 955, 766, 623, 487, 33, -402, -633, -668, 
##     -631, -653, -693, -701, -697, -699, -302, -362, -557, -573, 
##     -554, -513, -445, -240, -100, 134, 271, 343, 443, 477, -543, 
##     -459, -400, -281, 140, 305, 369, 479, 533, 576, 575, 580, 
##     585, 583, 222, 194, 157, 22, -262, -461, -486, 153, 2, 13, 
##     23, 39, 152, 207, 273, 358, 469, 524, 563, 578, 602, 741, 
##     -327, -362, -443, -454, -469, -495, -501, -497, -454, -435, 
##     -394, -300, -173, 133, 383, 604, 602, -221, -158, -93, 15, 
##     34, 109, 288, 363, 449, 554, 513, 414, 314, 184, 130, 1400, 
##     1400, 1410, 1410, 1370, 1390, 1410, 1420, 1410, 1400, 1310, 
##     1260, 1240, 1230, 1140, 1120, 1110, 1050, 1030, 1030, 1010, 
##     973, 955, 969, 982, 686, -700, -707, -714, -715, -698, -656, 
##     -483, -289, -65, 58, 105, 190, 231, 348, 435, 630, 649, 715, 
##     747, 828, 835, 811, 700, 603, 622, 652, 740, 776, 795, 781, 
##     749, 625, 562, 456, 300, -61, -346, -430, -486, -583, -616, 
##     -653, -654, -634, -611, -612, -587, -521, -503, -442, -370, 
##     -73, 257, 439, 474, 807, 836, 831, 800, 766, 754, 632, 646, 
##     763, 800, 819, 822, 780, 739, 580, 482, 444, 376, 233, 117, 
##     54, 11, -92, -192, -293, -386, -513, -563, -618, -666, -670, 
##     -640, -616, -597, -500, -447, -426, -196, -151, -73, 596, 
##     681, 743, 764, 774, 815, 490, 535, 573, 620, 641, 673, 712, 
##     721, 727, 721, 728, 727, 724, 731, 733, 735, 742, 735, 737, 
##     733, 732, 733, 730, 734, 726, 728, 722, 707, 714, 701, 690, 
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##     -652, -645, -639, -638, -628, -636, -650, -656, -692, -699, 
##     -658, -607, -503, -327, 499, 658, 721, 762, 751, 735, 737, 
##     738, 739, 715, 705, 482, 352, -39, -132, -432, -480, -507, 
##     -580, -636, -633, -650, -666, -679, -685, -686, -678, -644, 
##     -347, -275, -63, 80, 178, 552, 572, 692, 699, 731, 736, 729, 
##     711, -663, -647, 527, 747, 739, 737, 743, 618, -445, -602, 
##     -643, -656, -663, -637, -550, -450, -417, -195, -101, 231, 
##     278, 420, 455, 508, 577, 655, 720, 710, 690, 668, 346, 98, 
##     -200, -586, -617, -637, -638, -662, -666, -667, -661, -669, 
##     -668, -586, -504, -433, -361, -318, -519, -628, -670, -709, 
##     -713, -699, -688, -671, -660, -638, -577, -200, -152, 23, 
##     242, 532, 663, 733, 754, 747, 746, 755, 735, 599, -330, -418, 
##     -636, -686, -678, -557, -480, -287, -176, 749, 734, 663, 
##     674, 678, 713, 724, 725, 597, 565, 256, -27, -103, -638, 
##     -652, -670, -619, -610, -485, -304, -201, -122, -91, -23, 
##     97, 172, 577, 664, 695, 714, 731, 736, 732, 728, 667, 576, 
##     553, 423, 390, 96, -135, -318, -447, -636, -724, -723, -722, 
##     -679, -643, -630, -569, -511, -414, -390, -332, -236, -59, 
##     86, 484, 651, 698, 727, 738, 745, 740, 732, 738, 742, 749, 
##     749, 754, 753, 754, 753, 754, 749, 748, 748, 750, 744, 751, 
##     753, 761, 765, 767, 738, 736, 726, 726, 720, 715, 717, 718, 
##     717, 715, 712, 712, 708, 702, 700, 701, 712, 741, 196, 217, 
##     424, 499, 545, 531, 526, 510, 493, 486, 434, 312, -83, -420, 
##     -535, -447, -228, -32, 31, 312, 361, 395, 409, 464, 479, 
##     568, 632, 684, 738, 794, 786, 772, 765, 762, 749, 769, 767, 
##     783, 781, 765, 748, 717, 533, 234, 86, -357, -491, -786, 
##     -790, -765, -695, -557, -350, -181, 267, 354, 497, 609, 775, 
##     779, 759, 752, 752, 770, 769, 770, 141, -233, -409, -656, 
##     -725, -752, -795, -766, -719, -411, 141, 456, 523, 567, 509, 
##     525, 645, 651, 645, 641, 606, 576, 553, 469, 362, 190, 157, 
##     125, 108, 75, 18, -124, -137, -233, -242, -259, -268, -325, 
##     -346, -223, -111, -42, 76, 103, 309, 367, 381, 407, 514, 
##     568, 609, 631, 646, 671, 670, 663, 599, 588, 535, -197, -238, 
##     -262, -285, -316, -462, -489, -514, -460, -446, -280, -260, 
##     -249, -208, -131, -32, -23, 17, 63, 88, 336, 517, 615, 708, 
##     719, 726, 731, 735, 741, 741, 743, 738, 724, 718, 715, 714, 
##     702, 699, 701, 700, 703, 703, 694, 706, 689, 691, 660, 683, 
##     720, 734, 744, 761, 752, 747, 740, 706, 666, 519, 341, -19, 
##     -127, -259, -330, -532, -532, -527, -502, -491, -461, -423, 
##     -305, -114, -35, 172, 250, 476, 622, 722, 733, 749, 714, 
##     686, 643, 646, 678, 683, 712, 754, 758, 752, 740, 685, 597, 
##     449, 334, 251, 112, 71, -121, -275, -352, -413, -409, -392, 
##     -335, -293, -240, -29, 219, 544, 626, 731, 698, 693, 700, 
##     698, 725, 751, 750, 733, 716, 443, 380, 225, 142, 57, -20, 
##     -330, -513, -480, -458, -404, -358, -298, -129, 130, 222, 
##     323, 347, 652, 742, 742, 735, 689, 686, 717, 733, 732, 767, 
##     753, 719, 661, 622, 429, 199, 98, -74, -127, -246, -351, 
##     -448, -467, -476, -459, -424, -413, -264, -162, -94, -62, 
##     43, 250, 301, 404, 444, 613, 731, 731, 713, 712, 705, 706, 
##     714, 708, 737, 726, 710, 624, 604, 580, 560, 367, 199, 114, 
##     83, -68, -227, -274, -348, -488, -545, -554, -565, -573, 
##     -575, -572, -559, -533, -504, -467, -426, -417, -383, -353, 
##     -311, 732, 735, 739, 747, 764, 772, 795, 726, 637, 387, 325, 
##     118, -97, -220, -283, -314, -420, -504, -519, -523, -533, 
##     -440, -420, -342, -293, -273, -177, 89, 315, 523, 545, 623, 
##     641, 702, 716, 714, 716, 721, 722, 704, 701, 699, 699, 698, 
##     702, 701, 688, 667, 479, 408, 302, 125, 28, -37, -128, -252, 
##     -319, -388, -573, -565, -544, -525, -500, -436, -385, -182, 
##     -146, 74, 552, 578, 685, 700, 735, 734, 726, 727, 704, 692, 
##     686, 681, 716, 727, 743, 729, 708, 604, 326, 56, 18, -33, 
##     -363, -419, -444, -521, -529, -538, -512, -513, -482, -477, 
##     -334, -268, -241, -203, -156, -70, 344, 497, 565, 585, 772, 
##     764, 740, 712, 706, 709, 718, 736, 750, 748, 730, 709, 695, 
##     464, 416, 75, -158, -236, -287, -525, -561, -494, -430, -396, 
##     -352, -345, -243, 144, 219, 567, 587, 654, 718, 748, 737, 
##     716, 717, 1180, 1240, 1220, 1200, 1180, 1170, 1140, 1140, 
##     1160, 1160, 1170, 1180, 1180, 1180, 1180, 1190, 1190, 1190, 
##     1200, 1200, 1200, 1200, 1190, 1180, 1170, 1140, 1070, 1040, 
##     508, -413, -480, -882, -877, -857, -862, -896, -848, -827, 
##     -782, -141, -65, 45, 29, -60, -251, -770, -808, -814, -802, 
##     -139, -841, -838, -821, -784, -885, -690, -586, -519, -401, 
##     126, 209, 189, 155, 47, -22, -501, -588, -631, -774, -810, 
##     -848, -851, -842, -831, -802, -787, -773, -800, -680, -626, 
##     -525, 19, 162, 262, 284, 282, 211, 196, -157, -316, -805, 
##     -821, -775, -724, -782, -807, -827, -844, -832, -783, -744, 
##     -658, 75, 358, 528, 607, 730, 738, 772, 723, 703, 482, 313, 
##     -355, -512, -565, -854, -792, -831, -859, -805, -631, -609, 
##     -503, -427, -360, -251, 51, 107, 213, 420, 307, 279, 85, 
##     -216, -580, -670, -722, -755, -773, -768, -763, -740, -681, 
##     -627, -687, -703, -810, -814, -750, -710, -630, -524, -288, 
##     -221, 27, 104, 153, 161, -498, -641, 174, 131, 128, 48, 17, 
##     -54, -339, -540, -629, -762, -768, -764, -740, -722, -665, 
##     -690, -811, -811, -801, -778, -766, -700, -268, -194, -158, 
##     55, 73, 225, 328, 321, 278, 252, 114, 40, -250, -347, -402, 
##     -696, -743, -722, -707, -605, -645, -719, -799, -811, -704, 
##     -531, -419, -29, 118, 278, 410, 734, 798, 907, 1080, 1230, 
##     1370, 1400, 1440, 1450, 1450, 1450, 1420, 1400, 1400, 1410, 
##     1420, 1420, 1420, 1440, 1440, 1430, 1430, 1430, 1440, 1450, 
##     1440, 1440, 1450, 1450, 1450, 1450, 1440, 1430, 1420, 1410, 
##     1380, 1400, 1430, 1450, 1450, 1440, 1440, 613, 618, 611, 
##     608, 616, 598, 614, 605, 608, 607, 603, 615, 618, 616, 661, 
##     675, 683, 702, 721, 752, 729, 735, 724, 721, 734, 778, 781, 
##     745, 652, 617, 61, -235, -555, -215, -56, 591, 791, 796, 
##     783, 733, 659, 649, 638, 712, 764, 781, 792, 726, 658, 397, 
##     221, -267, -374, -474, -517, -545, -551, -506, -464, -449, 
##     621, 764, 793, 761, 730, 642, 639, 660, 789, 730, 519, 412, 
##     -379, -428, -470, -419, -217, -14, 173, 434, 620, 691, 753, 
##     766, 802, 777, 702, 646, 649, 656, 673, 699, 699, 735, 759, 
##     788, 652, 613, 472, 246, 192, -361, -432, -373, -373, -240, 
##     154, 202, 505, 751, 778, 792, 673, 657, 764, 792, 787, -85, 
##     -184, -285, -337, -361, -391, -407, -374, -88, 59, 476, 527, 
##     749, 767, 782, 722, 656, 654, 660, 731, 775, 750, 750, 692, 
##     580, 544, 306, 210, -123, -173, -173, -247, -303, -324, -361, 
##     -373, -360, -51, 293, 341, 440, 633, 779, 769, 655, 653, 
##     640, 559, 356, 80, -258, -451, -479, -476, -198, -126, 519, 
##     665, 712, 724, 772, 638, 624, 654, 713, 750, 613, 619, 619, 
##     645, 726, 769, 798, 799, 715, 645, 609, 359, 165, -435, -480, 
##     -489, -487, -226, 13, 101, 389, 777, 791, 807, 731, 714, 
##     672, 735, 755, 730, 638, 640, 638, 684, 695, 722, 737, 697, 
##     699, 703, 700, 699, 699, 690, 696, 700, 697, 702, 694, 695, 
##     695, 702, 698, 701, 700, 691, 694, 692, 693, 696, 691, 694, 
##     693, 690, 717, 697, 691, 669, 639, 594, 495, 422, 262, 127, 
##     65, 60, 66, 69, 79, 85, 118, 131, 137, 198, 297, 325, 387, 
##     427, 496, 659, 669, 689, 721, 732, 739, 742, 747, 740, 746, 
##     733, 733, 731, 733, 712, 685, 598, 578, 543, 451, 384, 251, 
##     104, -41, -62, -83, -77, -28, 27, 89, 178, 259, 302, 392, 
##     515, 591, 605, 628, 654, 679, 705, 745, 752, 751, 753, 757, 
##     775, 771, 771, 763, 776, 763, 758, 759, 731, 640, -9, -23, 
##     -3, 18, 35, 68, 83, 349, 403, 614, 624, 650, 731, 760, 759, 
##     770, 765, 768, 764, 765, 770, 764, 766, 765, 760, 745, 733, 
##     714, 653, 626, 609, 561, 517, 443, 285, 257, 121, 96, -24, 
##     -71, -59, 2, 22, 25, 46, 71, 106, 304, 322, 402, 507, 557, 
##     654, 692, 698, 724, 735, 733, 733, 735, 733, 726, 730, 686, 
##     684, 631, 606, 172, 220, 328, 475, 573, 613, 679, 710, 720, 
##     750, 752, 751, 747, 755, 749, 758, 727, 719, 508, 354, 120, 
##     -41, -255, -283, -269, -251, -248, -238, -228, -215, -216, 
##     -203, -189, -96, 65, 192, 398, 430, 547, 762, 823, 835, 842, 
##     838, 836, 830, 799, 779, 775, 761, 654, 657, 665, 670, 673, 
##     679, 671, 685, 685, 705, 703, 707, 711, 714, 715, 724, 734, 
##     746, 740, 744, 735, 733, 715, 706, 707, 697, 689, 648, 636, 
##     642, 630, 619, 625, 618, 619, 621, 609, 612, 614, 626, 631, 
##     718, 811, 814, 589, 481, 166, -4, -253, -328, -462, -511, 
##     -628, -662, -672, -692, -689, -676, -665, -637, -628, -535, 
##     -475, 840, 654, 657, 650, 631, 717, 593, 501, -398, -92, 
##     -63, 60, 132, 169, 279, 453, 631, 801, 826, 704, 697, 691, 
##     679, 672, 673, 665, 652, 638, 631, 639, 632, 636, 647, 640, 
##     651, 543, 501, 438, 413, 365, 87, 14, -126, -170, -167, -163, 
##     -92, 24, -33, -549, -732, -722, -520, -461, -339, 98, 200, 
##     304, 597, 722, 773, 759, 752, 755, 700, 680, 784, 791, 779, 
##     770, 766, 772, 780, 777, 737, 631, 572, 363, 208, -210, -309, 
##     -359, -444, -623, -660, -689, -719, -704, -686, -658, 464, 
##     564, 732, 795, 794, 768, 767, 751, 750, 757, 773, 774, 666, 
##     481, 394, 356, 166, -309, -725, -538, -507, -342, -290, -11, 
##     360, 543, 614, 726, 764, 790, 796, 741, 738, 758, 629, 673, 
##     718, 782, 792, 781, 776, 760, 755, 761, 784, 763, 744, 665, 
##     584, 649, 749, 789, 784, 747, 735, 722, 725, 719, 720, 725, 
##     749, 749, 753, 765, 773, 768, 639, 601, 494, -561, -596, 
##     -676, -741, -742, -707, -588, -478, 30, 374, 574, -758, -652, 
##     -447, 518, 688, 788, 788, 789, 780, 781, 781, 785, 782, 796, 
##     795, 800, 802, 801, 791, 801, 797, 787, 793, 785, 789, 790, 
##     790, 690, 689, 689, 684, 680, 677, 684, 684, 686, 687, 697, 
##     700, 710, 712, 715, 704, 711, 699, 685, 683, 683, 688, 677, 
##     690, 693, 693, 698, 691, 688, -263, -238, -181, -89, 543, 
##     672, 716, 764, 771, 774, 768, 762, 756, 721, 721, 730, 729, 
##     727, 726, 718, 713, 716, 715, 708, 705, 704, 703, 711, 706, 
##     702, 697, 704, 708, 703, 650, 656, 671, 716, 718, 770, 713, 
##     13, -103, -155, -403, -462, -521, -541, 692, 756, 784, 744, 
##     642, 557, 557, 374, 309, 41, -32, -262, -302, -449, -306, 
##     -140, 155, 485, 533, 779, 783, 763, 761, 709, 707, 709, 707, 
##     716, 720, 720, 717, 734, 735, 1440, 1440, 1440, 1450, 1440, 
##     1450, 1450, 1450, 1440, 1440, 1450, 1450, 1440, 1440, -720, 
##     -768, -760, -671, -807, -778, -717, -674, -575, -134, -52, 
##     -32, 14, 55, 78, 114, 139, -831, -832, -763, -727, -607, 
##     -531, -403, -193, -9, 161, 375, 61, 713, 734, 753, 729, 716, 
##     730, 765, 650, 599, 530, 365, 169, -233, -276, -366, -653, 
##     -743, -772, -782, 438, 203, 46, -65, -318, -427, -542, -636, 
##     -716, -471, -436, -356, 108, 334, 778, 780, 779, 760, 329, 
##     -44, -97, -187, -319, -724, -724, -573, -520, -391, 77, 476, 
##     641, 545, 474, 9, -231, -592, -706, -686, -601, -587, -532, 
##     -107, 682, 776, 795, 791, 789, 780, 755, 768, 768, 778, 788, 
##     765, 736, 701, 734, 739, 711, 695, 702, 693, 648, 389, 180, 
##     89, -227, -404, -275, -551, -566, -664, -706, -700, -672, 
##     -666, -461, -259, 78, 293, 378, 475, -87, 517, 614, 750, 
##     750, 750, 744, 751, 735, 726, 703, 630, 543, 417, -35, 708, 
##     668, 575, 538, 479, 448, 250, 37, -435, -490, -630, -632, 
##     -621, -621, -618, -639, -653, -654, -666, -672, -673, -672, 
##     382, 839, 821, 765, 752, 712, 613, 273, 229, 152, 119, -85, 
##     -420, -570, -587, -635, -678, -686), magnet_forearm_z = c(469, 
##     469, 478, 473, 465, 478, 472, 481, 472, 466, 480, 469, 467, 
##     470, 462, 467, 479, 466, 473, 465, 464, 472, 472, 470, 464, 
##     460, 464, 469, 462, 461, 475, 476, 477, 472, 463, 477, 476, 
##     471, 475, 472, 473, 475, 471, 467, 466, 475, 465, 476, 462, 
##     473, 467, 467, 470, 472, 464, 477, 472, 471, 461, 472, 468, 
##     462, 479, 467, 466, 472, 468, 463, 462, 471, 464, 470, 468, 
##     464, 469, 471, 465, 460, 468, 471, 463, 470, 476, 469, 470, 
##     473, 476, 466, 469, 476, 471, 462, 466, 479, 473, 468, 468, 
##     463, 470, 464, 467, 636, 640, 628, 633, 631, 638, 642, 644, 
##     642, 646, 651, 657, 651, 646, 664, 656, 656, 654, 661, 658, 
##     658, 662, 665, 658, 664, 666, 667, 674, 673, 677, 676, 677, 
##     676, 678, 683, 690, 682, 689, 693, 696, 704, 706, 731, 738, 
##     730, 720, 718, 705, 689, 662, 655, 630, 624, 618, 620, 626, 
##     615, 633, 659, 673, 692, 702, 702, 708, 736, 739, 731, 742, 
##     709, 714, 700, 687, 677, 668, 662, 664, 657, 644, 623, 614, 
##     621, 630, 611, 615, 621, 622, 604, 601, 584, 578, 574, 573, 
##     574, 570, 582, 577, 575, 574, 560, 574, 562, 565, 573, 568, 
##     555, 562, 575, 560, 557, 567, 577, 586, 580, 591, 583, 575, 
##     581, 586, 578, 571, 575, 579, 576, 580, 575, 572, 574, 583, 
##     585, 522, 509, 447, 326, 280, 182, 175, 143, 211, 230, 311, 
##     573, 612, 634, 656, 673, 656, 687, 667, 628, 619, 611, 598, 
##     597, 591, 598, 594, 588, 585, 572, 553, 539, 506, 498, 444, 
##     415, 376, 315, 275, 255, 165, 112, 216, 239, 281, 363, 659, 
##     661, 675, 678, 693, 704, 700, 657, 643, 624, 630, 623, 620, 
##     638, 635, 632, 636, 633, 638, 616, 588, 553, 517, 502, 761, 
##     767, 760, 749, 742, 747, 727, 709, 704, 702, 653, 654, 650, 
##     648, 649, 657, 669, 695, 662, 657, 628, 626, 597, 504, 412, 
##     245, 164, 133, 164, 180, 194, 263, 338, 373, 407, 426, 467, 
##     645, 669, 767, 778, 782, 789, 773, 776, 751, 756, 751, 728, 
##     677, 679, 678, 668, 658, 660, 658, 651, 635, 590, 494, 421, 
##     243, 232, 199, 138, 164, 677, 679, 678, 664, 664, 691, 683, 
##     598, 564, 515, 500, 447, 431, 397, 334, 322, 242, 152, 154, 
##     671, 663, 661, 658, 640, 649, 623, 257, 526, 556, 568, 622, 
##     634, 493, 438, 415, 355, 296, 427, 482, 518, 535, 614, 666, 
##     699, 739, 691, 693, 710, 697, 694, 700, 110, 28, -14, -41, 
##     -83, -101, -96, -93, -93, -70, -61, -44, -3, 29, 80, 92, 
##     85, 25, -7, -31, -44, -55, -78, -80, -37, 5, 116, 119, 112, 
##     65, -68, -93, -67, -55, 100, 105, 63, -27, -25, -54, -49, 
##     -15, 8, 62, 91, 93, 56, 16, -8, -23, -38, -27, -20, -4, 29, 
##     49, 73, 35, -26, -36, -46, -7, 80, 88, 98, 102, 83, 60, 24, 
##     -9, -33, -24, -29, 39, 46, 39, 15, 7, 21, 35, 43, 49, 51, 
##     40, 30, 41, 74, 71, 66, 55, 32, 16, 17, 13, 22, 10, 13, 54, 
##     60, 61, 71, 6, 3, 0, -11, 67, 58, -23, -38, -9, 60, 59, 36, 
##     15, -25, -29, -39, -46, -44, -19, 26, 54, 64, 74, 52, 41, 
##     38, -22, -49, -40, -45, -35, -16, 8, 723, 703, 687, 648, 
##     603, 565, 545, 574, 586, 619, 674, 792, 776, -5, -4, -25, 
##     -38, -25, -18, -127, -171, -475, -549, -541, -415, -417, 
##     -505, -557, -586, -593, -536, -499, -476, -486, -398, -254, 
##     360, 157, 82, -82, -87, -139, -182, -220, -48, 10, 53, 378, 
##     387, 409, 472, 556, 563, 529, 532, 527, 529, 539, 541, 561, 
##     569, 557, 530, 521, 454, 423, 446, 460, 414, 399, 387, 373, 
##     377, 411, 418, 298, 339, 349, 344, 341, 344, 353, 343, 327, 
##     324, 331, 341, 343, 346, 353, 485, 483, 459, 424, 455, 477, 
##     512, 518, 519, 532, 542, 543, 571, 551, 550, 556, 563, 560, 
##     569, 581, 555, 575, 575, 573, 583, 621, 699, 724, 771, 804, 
##     807, 792, 690, 629, 505, 476, 476, 394, 394, 416, 422, 438, 
##     426, 413, 423, 431, 466, 471, 481, 485, 479, 480, 473, 448, 
##     430, 438, 445, 452, 452, 453, 444, 461, 464, 445, 447, 449, 
##     444, 430, 417, 420, 426, 428, 414, 461, 450, 431, 426, 465, 
##     465, 468, 479, 437, 441, 482, 500, 512, 521, 529, 555, 561, 
##     567, 580, 580, 578, 583, 587, 598, 599, 567, 559, 564, 567, 
##     565, 540, 540, 528, 536, 522, 516, 512, 509, 503, 505, 500, 
##     496, 494, 511, 513, 503, 504, 475, 470, 463, 457, 429, 397, 
##     401, 653, 671, 686, 668, 660, 658, 608, 588, 563, 583, 595, 
##     583, 579, 561, 545, 538, 554, 555, 546, 539, 544, 573, 579, 
##     571, 550, 539, 450, 442, 425, 422, 406, 402, 403, 394, 382, 
##     377, 402, 423, 501, 513, 536, 554, 610, 630, 653, 674, 703, 
##     758, 730, 725, 690, 670, 555, 518, 501, 503, 514, 500, 502, 
##     498, 497, 507, 508, 513, 512, 512, 499, 501, 519, 539, 559, 
##     560, 588, 593, 598, 576, 571, 546, 537, 527, 519, 475, 427, 
##     423, 425, 438, 443, 456, 566, 609, 740, 774, 823, 850, 783, 
##     771, 759, 754, 729, 742, 606, 609, 605, 615, 606, 614, 643, 
##     672, 681, 700, 701, 694, 690, 662, 638, 589, 511, 804, 768, 
##     745, 738, 690, 688, 634, 625, 599, 589, 583, 584, 580, 569, 
##     574, 590, 622, 650, 658, 646, 650, 662, 673, 682, 687, 654, 
##     630, 565, 534, 495, 479, 445, 399, 391, 409, 390, 392, 392, 
##     390, 385, 390, 401, 437, 478, 724, 741, 772, 795, 811, 813, 
##     816, 808, 803, 799, 763, 759, 761, 747, 740, 735, 518, 453, 
##     430, 432, 438, 425, 421, 418, 417, 414, 420, 419, 427, 418, 
##     431, 430, 453, 471, 498, 530, 564, 581, 600, -370, -381, 
##     -367, -380, -381, -373, -372, -382, -378, -376, -377, -379, 
##     -388, -378, -368, -379, -372, -384, -372, -379, -379, -382, 
##     -372, -378, -373, -378, -373, -367, -381, -383, -382, -382, 
##     -386, -384, -394, -387, -389, -374, -385, -380, -386, -390, 
##     -395, -391, -388, -388, -387, -386, -383, -386, -397, -396, 
##     -396, -401, -389, -394, -384, -396, -404, -420, -410, -420, 
##     -411, -415, -404, -418, -418, -419, -418, -419, -408, -417, 
##     -361, -74, 94, 87, 99, 101, 40, 31, 13, 6, 3, 6, 2, 28, 20, 
##     12, -1, -1, -32, -65, -77, -101, -118, -214, -270, -275, 
##     -309, -320, -347, -372, -376, -383, -388, -401, -445, -453, 
##     -452, -478, -485, -490, -483, -472, -453, -455, -405, -358, 
##     -270, -148, -94, 9, 89, 117, 131, 133, 125, 120, 93, 77, 
##     62, 61, 31, 32, -504, -482, -503, -517, -517, -510, -511, 
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##     456, 459, 463, 467, 459, 471, 460, 454, 485, 84, 109, 175, 
##     354, 479, 502, 563, 613, 637, 684, 733, 673, 623, 597, 490, 
##     439, 432, 416, 401, 427, 438, 463, 524, 434, 409, 319, 111, 
##     -59, -108, -151, -68, -43, -52, -2, 170, 485, 639, 670, 732, 
##     735, 755, 760, 759, 659, 613, 513, 459, 442, 435, 453, 483, 
##     536, 551, 532, 471, 393, 305, 280, 192, 582, 518, 507, 480, 
##     477, 516, 536, 544, 546, 503, 493, 503, 456, 317, 228, 14, 
##     -41, -49, -89, -297, -304, -247, -136, -68, -44, 517, 507, 
##     517, 499, 495, 430, 375, 152, 122, -23, 4, 16, 206, 421, 
##     558, 621, 720, 731, 709, 628, 573, 557, 538, 520, 553, 508, 
##     460, 371, 211, 121, 12, -156, 550, 528, 534, 579, 607, 635, 
##     612, 603, 527, 501, 462, 422, 246, 174, 65, 714, 705, 702, 
##     688, 658, 605, 601, 601, 616, 632, 650, 643, 631, 496, 440, 
##     390, 353, 71, 27, -67, -214, -206, -194, -151, -133, -100, 
##     420, 483, 544, 567, 690, 698, 680, 621, 604, 506, 421, 421, 
##     415, 437, 453, 456, 469, 458, 444, 397, 890, 724, 730, 752, 
##     766, 782, 794, 804, 810, 810, 806, 813, 818, 816, 810, 814, 
##     811, 815, 812, 812, 813, 792, 786, 783, 784, 797, 868, 737, 
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##     1050, 870, 835, 725, 885, 887, 831, 390, 210, 95, -11, -16, 
##     -8, 9, 18, 387, 976, 908, 559, 275, -6, -7, 0, 8, 8, 16, 
##     47, 124, 260, 709, 758, 853, 1020, 921, 816, 791, 763, 775, 
##     849, 922, 919, 926, 923, 551, 446, 107, 72, 42, -10, -7, 
##     5, 294, 390, 636, 763, 1020, 967, 934, 822, 800, 933, 955, 
##     915, 891, 836, 807, 533, 137, -55, -5, 2, 35, 295, 845, 873, 
##     933, 964, 853, 739, 780, 794, 835, 897, 866, 808, 765, 763, 
##     785, 807, 861, 897, 955, 942, 762, 715, 487, 60, -87, 231, 
##     551, 1090, 1050, 993, 894, 792, 748, 747, 746, 779, 794, 
##     821, 573, 425, 272, 204, 150, -100, -71, -41, 68, 134, 379, 
##     465, 678, 887, 902, 977, 975, 939, 837, 801, 716, 712, 690, 
##     741, 794, 851, 862, 585, 111, 83, -114, -108, -102, 160, 
##     247, 733, 847, 987, 939, 898, 854, 767, 687, 677, 662, 836, 
##     869, 919, 986, 1020, 877, 767, 757, 700, 703, 717, 758, 755, 
##     730, 723, 471, 483, 501, 517, 522, 532, 538, 573, 594, 662, 
##     781, 819, 642, 645, 633, 644, 648, 647, 644, 633, 626, 628, 
##     630, 630, 619, 621, 616, 612, 607, 606, 594, 595, 590, 581, 
##     572, 565, 569, 562, 509, 499, 483, 473, 466, 435, 429, 422, 
##     424, 423, 441, 433, 438, 445, 451, 525, 599, 638, 651, 451, 
##     389, 296, 291, 222, 116, 119, 114, 120, 122, 133, 149, 351, 
##     694, 736, 727, 728, 772, 762, 742, 735, 698, 687, 681, 671, 
##     629, 579, 567, 552, 553, 542, 549, 561, 569, 565, 194, 182, 
##     170, 146, 161, 152, 169, 186, 247, 354, 381, 437, 678, 702, 
##     742, 749, 787, 629, 639, 661, 683, 695, 697, 602, 584, 558, 
##     517, 507, 416, 389, 357, 294, 213, 179, 128, 53, 50, 50, 
##     52, 87, 106, 182, 194, 337, 425, 796, 840, 884, 900, 896, 
##     816, 747, 639, 636, 670, 638, 622, 614, 622, 629, 633, 645, 
##     682, 719, 730, 732, 689, 693, 670, 641, 556, 542, 508, 283, 
##     463, 542, 696, 780, 835, 848, 835, 765, 752, 755, 735, 710, 
##     704, 693, 681, 679, 668, 681, 133, 67, 54, 50, 38, 16, 19, 
##     23, 38, 88, 121, 288, 551, 651, 702, 799, 820, 828, 830, 
##     866, 864, 817, 812, 800, 798, 758, 759, 714, 721, 711, 693, 
##     681, 716, 739, 765, 771, 784, 788, 788, 791, 779, 619, 416, 
##     389, 342, 320, 233, 151, 107, 83, 90, 79, 80, 122, 283, 423, 
##     667, 821, 842, 853, 835, 842, 844, 862, 822, 800, 795, 761, 
##     761, 714, 692, 679, 671, 665, 662, 656, 648, 642, 639, 643, 
##     658, 676, 683, 694, 700, 707, 716, 740, 740, 742, 737, 681, 
##     556, 499, 345, 312, 262, 226, 216, 214, 201, 199, 181, 136, 
##     128, 132, 513, 772, 792, 822, 841, 883, 872, 862, 841, 827, 
##     811, 796, 759, 726, 664, 652, 640, 628, 635, 714, 760, 747, 
##     749, 704, 693, 513, 486, 461, 429, 203, 194, 489, 99, -67, 
##     -84, -78, -75, -48, 3, 56, 810, 822, 828, 876, 809, 795, 
##     782, 771, 758, 752, 737, 721, 681, 664, 665, 661, 655, 647, 
##     644, 614, 642, 688, 696, 703, 703, 681, 647, 603, 570, 505, 
##     408, 825, 878, 888, 868, 873, 823, 814, 742, 708, 674, 661, 
##     656, 661, 649, 642, 644, 646, 637, 394, 448, 473, 582, 591, 
##     618, 642, 763, 867, 725, 724, 713, 702, 707, 703, 703, 699, 
##     702, 712, 725, 729, 733, 736, 731, 699, 673, 708, 678, 512, 
##     530, 546, 561, 604, 582, 582, 550, 528, 531, 531, 551, 556, 
##     560, 575, 164, 141, 126, 105, 110, 234, 249, 399, 445, 684, 
##     701, 725, 753, 755, 754, 762, 738, 721, 713, 691, 691, 677, 
##     670, 661, 591, 555, 548, 536, 545, 530, 574, 580, 599, 642, 
##     715, 728, 739, 704, 555, 506, 512, 502, 489, 458, 441, 421, 
##     382, 361, 348, 273, 266, 152, 127, 119, 127, 221, 328, 351, 
##     381, 440, 501, 567, 604, 616, 639, 658, 668, 671, 711, 695, 
##     641, 567, 556, 538, 540, 545, 543, 537, 541, 541, 539, 540, 
##     534, 541, 584, 642, 675, 669, 654, 637, 596, 559, 506, 453, 
##     417, 353, 311, 286, 282, -35, 101, 117, 237, 356, 423, 503, 
##     524, 542, 584, 611, 602, 628, 653, 628, 611, 588, 576, 545, 
##     527, 231, 208, 157, 147, 120, -99, -165, -181, -166, -125, 
##     212, 284, 328, 582, 598, 611, 581, 574, 592, 624, 562, 533, 
##     530, 519, 501, 510, 507, 511, 523, 471, 486, 554, 546, 518, 
##     473, 331, 300, 262, 172, 159, -8, -21, -102, -86, -50, -50, 
##     -26, -24, 1, 103, 220, 344, 423, 520, 552, 623, 638, 629, 
##     629, 648, 634, 580, 572, 548, 492, 484, 497, 505, 512, 584, 
##     643, 669, 692, 686, 651, 566, 525, 453, 398, 342, 274, 157, 
##     135, 95, -4, -12, -65, -70, -79, -64, -63, -50, -8, 71, 225, 
##     301, 456, 520, 618, 636, 635, 646, 678, 665, 643, 630, 618, 
##     541, 516, 461, 416, 322, 312, 257, 232, 219, 198, 91, -60, 
##     -79, -84, -59, -47, -45, 11, 73, 112, 156, 320, 340, 387, 
##     514, 650, 696, 694, 685, 678, 689, 579, 535, 540, 583, 596, 
##     619, 610, 610, 606, 597, 589, 559, 551, 546, 542, 539, 641, 
##     675, 45, 11, -10, -71, -135, 114, 161, 246, 368, 416, 438, 
##     551, 595, 655, 693, 716, 768, 680, 630, 621, 615, 602, 587, 
##     597, 593, 598, 601, 630, 641, 656, 666, 741, 756, 758, 751, 
##     687, 662, 635, 605, 457, 266, 231, 53, 28, -72, -65, -1, 
##     145, 184, 325, 397, 552, 594, 659, 642, 698, 728, 724, 702, 
##     631, 631, 622, 613, 613, 643, 641, 672, 703, 760, 762, 741, 
##     725, 720, 710, 476, 272, 250, 114, 95, -54, -109, -192, -189, 
##     -174, -167, -155, -137, -108, -79, -52, -30, 106, 128, 201, 
##     297, 323, 359, 423, 753, 751, 743, 648, 632, 624, 604, 592, 
##     499, 485, 474, 435, 390, 375, 387, 382, 378, 879, 869, 872, 
##     855, 853, 819, 791, 758, 725, 717, 708, 704, 688, 676, 666, 
##     644, 634, 619, 621, 597, 593, 588, 599, 598, 599, 615, 643, 
##     649, 654, 676, 705, 681, 654, 638, 551, 509, 499, 450, 455, 
##     432, 429, 428, 426, 416, 410, 419, 416, 415, 405, 417, 438, 
##     445, 456, 461, 462, 733, 671, 535, 465, 421, 337, 300, 227, 
##     150, 114, 100, 62, 591, 566, 527, 536, 537, 547, 551, 577, 
##     635, 629, 644, 652, 688, 724, 793, 752, 567, 608, 677, 669, 
##     667, 656, 622, 574, 499, 413, 303, 192, 112, 106, 65, 35, 
##     -81, -190, -186, -167, -169, -175, -177, -169, -175, -107, 
##     578, 566, 591, 611, 520, 443, 438, 433, 395, 366, 233, 199, 
##     758, 742, 734, 747, 736, 742, 741, 740, 731, 737, 728, 699, 
##     717, 757, 835, 900, 982, 869, 699, 570, 157, 98, 75, 88, 
##     115, 404, 415, 328, 91, 71, -37, -51, 54, 72, 459, 536, 848, 
##     983, 999, 996, 979, 808, 1080, 1070, 1010, 980, 935, 837, 
##     813, 804, 793, 798, 851, 860, 910, 953, 802, 803, 803, 803, 
##     800, 802, 802, 801, 800, 813, 816, 794, 801, 803, 796, 808, 
##     803, 810, 806, 788, 794, -496, -530, -560, -582, -551, -544, 
##     -561, -557, -554, -559, -558, -573, -563, -491, -319, -243, 
##     -543, -538, -444, -410, -382, 58, 148, 154, 124, 121, 129, 
##     161, 152, 81, 59, 76, 87, 105, -559, -575, -577, -549, -518, 
##     -379, -117, -96, -68, -23, 0, -80, -70, -50, 44, 68, 107, 
##     108, 85, 63, 9, -35, -82, -103, -140, -197, -329, -343, -560, 
##     -558, -555, -557, -551, -551, -546, -555, -546, -548, -549, 
##     -550, -541, -552, -544, -542, -533, -539, -548, -547, -551, 
##     -563, -558, -558, -556, -551, -560, 988, 969, 937, 894, 876, 
##     741, 671, 690, 688, 694, 732, 786, 821, 769, 749, 737, 743, 
##     724, 707, 693, 696, 713, 726, 723, 820, 852, 854, 822, 724, 
##     726, 727, -10, 24, 389, 352, 83, 31, -103, -142, -137, -123, 
##     -113, -96, -74, 31, -30, -192, -237, -288, -296, -273, -257, 
##     -170, -127, -59, -13, 115, 368, 515, 662, 698, 711, -167, 
##     -118, -51, 1, 111, 287, 345, 436, 713, 791, 787, 769, 748, 
##     487, 521, 552, 616, 621, 699, 694, 634, 620, 524, 498, 480, 
##     -90, -111, -182, -176, -149, -130, 0, 84, 231, 293, 552, 
##     684, 710, -113, -80, -61, 56, 123, 144, 463, 562, 726, 740, 
##     731, 714, 546, 480, 442, 486, 543, 547, 547, 513, 412, 355, 
##     303, 120, 4, -74, -175, -187, -229, -256, -175, 494, 506, 
##     590, 592, 594, 536, 504, 461, 400, 103, 63, 28, 26, -1, -36, 
##     -43, -74, -65, -48, 462, 470, 443, 422, 413, 408, 404, 396, 
##     424, 437, 439, 440, 457, 841, 759, 747, 719, 721, 672, 660, 
##     632, 652, 656, 664, 683, 726, 787, 850, 665, 590, 272, 163, 
##     -45, 13, 398, 582, 753, 947, 944, 937, 919, 869, 829, 750, 
##     692, 641, 633, 673, 685, 695, 700, 741, 758, 587, 475, 420, 
##     -175, -133, -87, -35, 24, 56, 125, 365, 581, 624, 663, 672, 
##     702, 759, 777, 781, 724, 689, 664, 641, 606, 588, 565, 555, 
##     574, 611, 637, 649, 682, 698, 717, 709, 548, 529, 537, 528, 
##     520, 500, 481, 470, 463, 464, 483, 492, 502, 506, 511, 502, 
##     520, 526, 543, 579, 564, 579, 598, 605, 588, 581, 588, 581, 
##     569, 508, 489, 471, 472, 483, 484, 481, 477, 553, 623, 623, 
##     613, 608, 584, 579, 596, 593, 604, 593, 596, 578, 570, 562, 
##     562, 553, 559, 568, 554, 559, 560, 627, 603, 579, 498, 491, 
##     498, 545, 543, 534, 520, 527, 547, 566, 565, 549, 643, 642, 
##     651, 606, 604, 609, 617, 634, 642, 651, 672, 670, 670, 664, 
##     643, 622, 571, 565, 494, 493, 499, 511, 535, 552, 568, 642, 
##     680, 692, 723, 701, 680, 680, 686, 669, 619, 631, 630, 648, 
##     639, 672, 665, 672, 647, 647, 616, 477, 451, 465, 491, 498, 
##     516, 623, 646, 631, 630, 627, 636, 639, 650, 617, 601, 598, 
##     612, 621, 636, 644, 653, 645, 587, 572, 532, 479, 481, 497, 
##     491, 503, 515, 650, 649, 666, 721, 723, 686, 671, 649, 640, 
##     643, 642, 112, 129, 117, 59, 174, 138, 122, -8, -40, -185, 
##     -304, -336, -358, -390, -399, -499, -563, -556, -536, -549, 
##     -542, -545, -544, -558, -576, -516, -3, 16, 77, 95, 106, 
##     102, 111, 131, 129, 104, 172, 134, 130, 109, 86, 3, -11, 
##     -38, -378, -455, -585, -598, -588, -574, -566, -556, -525, 
##     -535, -543, -548, -562, -569, -568, -558, -529, -540, -520, 
##     -514, -502, -505, -381, -87, -76, -34, -16, -23, -30, -57, 
##     -62, -117, -134, -161, -174, -310, -352, -475, -499, -584, 
##     -587, -589, -583, -558, -543, -546, -537, -538, -541, -556, 
##     -552, -407, -393, -209, -144, -559, -563, -550, -548, -539, 
##     -363, -312, -429, -453, -490, -500, -472, -459, -467, -467, 
##     -504, -504, -523, -514, -536, -164, -41, -22, 63, 42, 38, 
##     30, 21, -135, -215, -431, -546, -564, -567, -556, -557, -559, 
##     -561, -540, -380, -261, -25, -7, -14, -25, -35, -43, -58, 
##     -132, -177, -215, -285, -386, -414, -447, -494, -556, -567, 
##     -572, -575, -575, -585, -575, -578, -593, -558, -520, -421, 
##     -346, -219, -128, -110, -81, -72, -84, -91, -102, -106, -111, 
##     -116, -130, -140, -162, -195, -219, -268, -300, -360, -363, 
##     -581, -552, -555, -513, -86, -33, 9, 30, 32, 34, 26, 19, 
##     28, 16, 12, -14, -43, -531, -527, -527, -531, -502, -450, 
##     -406, -260, -40, -13, 86, 83, 49, 45, 37, 32, 24, -24, -256, 
##     -284, -303, -460, -484, -523, -538, -526, -517, -526, -518, 
##     -512, -533, -482, -372, -305, -266, -207, -188, 46, 133, 
##     146, 193, 248, 321, 429, 460, 492, 562, 555, 558, 547, 536, 
##     435, 441, 442, 444, 473, 460, 457, 451, 438, 444, 443, 428, 
##     418, 416, 418, 433, 433, 439, 457, 464, 463, 473, 471, 438, 
##     425, 431, 443, 447, 462, 471, 466, 485, 494, 495, 514, 506, 
##     508, 514, 521, 547, 524, 517, 504, 506, 504, 511, 501, 510, 
##     498, 507, 493, 497, 482, 458, 444, 434, 427, 416, 452, 459, 
##     450, 451, 454, 456, 466, 484, 517, 512, 499, 479, 488, 473, 
##     462, 451, 431, 386, 373, 358, 362, 391, 399, 438, 463, 571, 
##     589, 632, 610, 518, 512, 478, 472, 472, 462, 456, 441, 425, 
##     434, 431, 443, 549, 562, 556, 578, 544, 563, 558, 458, 453, 
##     504, 560, 615, 629, 652, 654, 488, 483, 485, 483, 545, 621, 
##     671, 651, 628, 599, 517, 499, 489, 503, 508, 529, 589, 611, 
##     648, 706, 703, 706, 687, 671, 660, 511, 487, 495, 502, 518, 
##     525, 549, 607, 625, 630, 630, 603, 516, 488, 484, 528, 558, 
##     572, 578, 594, 590, 537, 530, 491, 445, 449, 448, 439, 451, 
##     455, 538, 555, 559, 537, 528, 486, 424, 422, 422, 427, 434, 
##     467, 502, 528, 507, 491, 488, 481, 459, 438, 434, 405, 358, 
##     370, 470, 460, 378, 368, 371, 360, 394, 456, 457, 474, 462, 
##     476, 461, 395, 353, 361, 364, 393, 431, 510, 572, 588, 483, 
##     459, 450, 429, 408, 370, 382, 460, 440, 441, 455, 457, 414, 
##     391, 345, 348, 371, 367, 597, 593, 616, 617, 604, 596, 589, 
##     578, 492, 470, 463, 467, 511, 513, 541, 452, 437, 732, 738, 
##     744, 742, 737, 748, 750, 768, 809, 816, 808, 803, 754, 747, 
##     724, 637, 608, 579, 584, 597, 601, 605, 636, 676, 694, 774, 
##     797, 775, 781, 760, 745, 733, 725, 678, 663, 659, 658, 661, 
##     692, 712, 722, 743, 805, 808, 789, 742, 672, 631, 621, 628, 
##     618, 626, 645, 658, 771, 800, 712, 663, 663, 666, 676, 703, 
##     719, 756, 792, 797, 774, 773, 714, 707, 689, 658, 663, 652, 
##     658, 674, 665, 683, 696, 657, 656, 684, 635, 633, 636, 627, 
##     636, 644, 660, 678, 759, 783, 810, 757, 707, 695, 729, 761, 
##     771, 817, 782, 752, 690, 679, 605, 587, 595, 580, 598, 722, 
##     757, 787, 736, 684, 703, 706, 718, 724, 734, 746, 773, 753, 
##     735, 724, 698, 597, 536, 523, 556, 560, 628, 803, 846, 877, 
##     843, 852, 845, 803, 743, 717, 698, 701, 712, 729, 789, 849, 
##     800, 690, 671, 666, 664, 665, 668, 675, 683, 718, 766, 873, 
##     903, 911, 843, 843, 744, 736, 757, 760, 774, 845, 849, 846, 
##     739, 641, 578, 567, 689, 749, 775, 839, 829, 837, 802, 739, 
##     726, 728, 742, 744, 803, 792, 631, 572, 536, 560, 578, 604, 
##     684, 726, 754, 743, 735, 736, 813, 794, 747, 729, 743, 766, 
##     782, 786, 788, 777, 767, 735, 727, 638, 554, 571, 606, 610, 
##     600, 585, 667, 680, 802, 799, 755, 791, 798, 801, 674, 673, 
##     665, 681, 698, 704, 721, 726, 725, 732, 724, 720, 718, 716, 
##     724, 711, 718, 733, 726, 721, 716, 731, 727, 730, 741, 742, 
##     744, 746, 748, 740, 741, 742, 744, 741, 743, 759, 813, 800, 
##     800, 800, 799, 774, 758, 734, 641, 575, 489, 445, 399, 284, 
##     221, 241, 298, 336, 553, 614, 815, 925, 810, 745, 796, 819, 
##     792, 643, 519, 425, 353, 195, 213, 472, 536, 890, 815, 773, 
##     768, 774, 757, 727, 733, 722, 748, 752, 760, 776, 779, 773, 
##     783, 788, 789, 797, 809, 810, 821, 807, 803, 808, 808, 808, 
##     801, 805, 818, 810, 810, 813, 809, 814, 802, 759, 746, 736, 
##     642, 601, 633, 641, 675, 636, 589, 610, 628, 642, 618, 639, 
##     625, 634, 626, 636, 640, 648, 646, 634, 631, 634, 634, 641, 
##     633, 643, 647, 615, 636, 756, 776, 796, 820, 817, 802, 760, 
##     729, 664, 583, 500, 429, 266, 213, 657, 666, 663, 688, 732, 
##     765, 763, 776, 740, 663, 583, 562, 532, 485, 441, 425, 580, 
##     641, 710, 873, 860, 869, 931, 927, 887, 851, 843, 834, 830, 
##     825, 818, 773, 766, 730, 673, 650, 632, 624, 631, 648, 646, 
##     645, 696, 707, 722, 746, 769, 773, 788, 786, 764, 728, 359, 
##     311, 195, 181, 65, 56, 48, 35, 43, 67, 264, 372, 502, 824, 
##     918, 1010, 1030, 1000, 924, 875, 744, 562, 566, 528, 498, 
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##     376, 359, 367, 360, 358, 344, 365, 369, 375, 381, 392, 392, 
##     403, 388, 396, 389, 386, 386, 392, 385, 393, 389, 392, 406, 
##     416, 439, 427, 426, 445, 442, 448, 460, 537, 583, 630, 631, 
##     612, 614, 621, 616, 623, 612, 597, 612, 611, 612, 607, 610, 
##     623, 631, 620, 619, 539, 522, 527, 522, 563, 568, 584, 582, 
##     589, 623, 636, 640, 650, 662, 655, 655, 653, 648, 639, 636, 
##     629, 626, 624, 623, 631, 646, 651, 659, 692, 740, 740, 696, 
##     710, 740, 752, 789, 785, 767, 745, 713, 695, 683, 678, 677, 
##     681, 665, 650, 643, 640, 640, 649, 646, 652, 659, 655, 729, 
##     745, 743, 727, 725, 728, 719, 723, 714, 714, 696, 695, 695, 
##     694, 692, 701, 691, 686, 669, 681, 680, 676, 672, 698, 712, 
##     708, 707, 679, 644, 626, 531, 520, 517, 520, 517, 487, 499, 
##     535, 584, 599, 617, 641, 649, 719, 698, 675, 642, 632, 597, 
##     607, 594, 566, 559, 537, 549, 537, 538, 545, 539, 522, 521, 
##     527, 522, 531, 551, 599, 619, 614, 650, 692, 684, 689, 683, 
##     695, 698, 710, 699, 702, 704, 680, 683, 708, 712, 690, 659, 
##     640, 588, 539, 455, 446, 449, 440, 449, 428, 436, 444, 481, 
##     482, 493, 506, 541, 554, 586, 668, 679, 694, 702, 705, 702, 
##     697, 700, 702, 713, 699, 711, 723, 722, 726, 695, 647, 587, 
##     528, 491, 449, 455, 539, 594, 600, 622, 628, 644, 651, 682, 
##     700, 709, 702, 709, 718, 714, 714, 720, 722, 721, 724, 734, 
##     727, 734, 660, 658, 653, 655, 662, 668, 652, 671, 666, 679, 
##     681, 717, 715, 729, 727, 623, 631, 647, 632, 636, 627, 616, 
##     576, 539, 531, 564, 542, 527, 540, 571, 566, 578, 570, 570, 
##     567, 562, 571, 556, 557, 320, 307, 257, 188, 90, 79, 87, 
##     96, 97, 103, 216, 905, 935, 859, 822, 762, 743, 711, 673, 
##     665, 665, 666, 94, 93, 98, 101, 122, 134, 369, 403, 459, 
##     650, 750, 835, 568, 663, 694, 690, 660, 646, 653, 649, 473, 
##     428, 407, 127, 61, -2, 0, 2, -4, -6, 1, 6, 15, 48, 93, 318, 
##     599, 612, 627, 668, 672, 673, 558, 550, 590, 588, 588, 557, 
##     547, 514, 489, 462, 459, 472, 470, 481, 518, 573, 628, 649, 
##     662, 649, 644, 494, 333, 249, 189, 162, 121, 96, 26, -52, 
##     -75, -67, -54, -54, -49, -11, -9, -6, 2, 14, 61, 70, 129, 
##     166, 181, 506, 519, 617, 636, 638, 690, 716, 725, 735, 713, 
##     641, 606, 586, 586, 544, 528, 461, 475, 504, 546, 552, 552, 
##     563, 597, 625, 629, 611, 558, 540, 492, 477, 461, 419, 419, 
##     409, 430, 434, 515, 525, 542, 536, 543, 550, 557, 593, 605, 
##     635, 646, 643, 648, 693, 622, 564, 579, 581, 591, 596, 607, 
##     610, 599, 590, 593, 587, 560, 542, 541, 566, 563, 564, 539, 
##     531, 518, 513, 526, 583, 621, 630, 603, 601, 599, 617, 535, 
##     506, 486, 455, 451, 418, 448, 516, 530, 569, 576, 577, 588, 
##     571, 548, 506, 518, 535, 527, 537, 528, 521, 508, 483, 474, 
##     473, 512, 520, 552, 610, 631, 644, 646, 659, 649, 655, 655, 
##     627, 529, 520, 445, 422, 407, 413, 420, 423, 493, 528, 619, 
##     651, 622, 630, 650, 573, 535, 504, 482, 472, 528, 524, 502, 
##     476, 379, 385, 421, 428, 627, 658, 677, 616, 614, 563, 541, 
##     496, 469, 435, 438, 428, 423, 423, 418, 407, 421, 450, 466, 
##     505, 592, 609, 616, 630, 628, 625, 598, 613, 514, 513, 526, 
##     528, 523, 505, 499, 496, 499, 516, 651, 571, 523, 535, 551, 
##     568, 546, 532, 548, 542, 544, 576, 447, 441, 465, 542, 585, 
##     596, 590, 612, 616, 626, 658, 659, 631, 619, 607, 593, 575, 
##     539, 482, 453, 444, 383, 378, 391, 438, 470, 564, 460, 462, 
##     502, 556, 583, 585, 599, 618, 616, 628, 609, 575, 552, 550, 
##     600, 604, 593, 601, 701, 741, 761, 877, 871, 842, 782, 545, 
##     637, 650, 664, 647, 646, 659, 653, 652, 659, 662, 664, 681, 
##     680, 825, 824, 823, 821, 817, 809, 811, 807, 809, 806, 801, 
##     802, 819, 726, 711, 703, 719, 699, 661, 655, 631, 617, 615, 
##     663, 811, 822, 796, 697, 672, -249, -330, -350, -398, -408, 
##     -416, -438, -462, -485, -501, -506, -513, -514, -523, -20, 
##     67, 42, 13, 6, -32, -63, -167, -279, -306, -344, -379, -118, 
##     7, 56, 75, 65, 49, 17, 21, 13, -9, -136, -188, -222, -302, 
##     -309, -335, -338, -449, -502, -529, 452, 469, 481, 556, 650, 
##     683, 666, 622, 623, 598, 602, 600, 607, 664, 662, 661, 631, 
##     633, 614, 611, 609, 599, 602, 616, 655, 635, 589, 573, 542, 
##     486, 624, 619, 626, 608, 615, 625, 634, 579, 577, 560, 560, 
##     586, 664, 654, 647, 652, 634, 626, 613, 627, 618, 612, 611, 
##     595, 591, 603, 665, 649, 612, 593, 592, 543, 516, 568, 596, 
##     645, 644, 673, 413, 429, 385, 399, 398, 404, 423, 420, 424, 
##     431, 443, 468, 489, 512, 530, 541, 507, 497, 492, 465, 452, 
##     422, 415, 428, 463, 463, 459, 450, 474, 475, 493, 485, 448, 
##     245, 259, 371, 369, 414, 453, 499, 500, 492, 476, 438, 437, 
##     396, 306, 313, 349, 367, 247, 209, 194, 241, 284, 327, 399, 
##     498, 544, 646, 585, 565, 544, 547, 544, 560, 575, 581, 547, 
##     515, 483, 467, 440, 573, 579, 578, 573, 569, 528, 466, 367, 
##     185, 221, 238, 273, 343, 446, 540, 570, 645, 663, 661, 649, 
##     636, 622, 616, 595, 600, 597, 599, 610, 619, 606, 400, 356, 
##     338, 307, 269, 204, 173, 173, 212, 228, 256, 344, 371, 411, 
##     653, 662, 690, 685, 698, 711, 664, 657, 638, 625, 604, 493, 
##     432, 415, 432, 432, 686, 716, 732, 743, 739, 724, 715, 693, 
##     688, 665, 667, 668, 657, 657, 686, 687, 688, 683, 691, 689, 
##     607, 590, 680, 684, 689, 686, 687, 695, 694, 688, 663, 659, 
##     656, 652, 661, 667, 676, 671, 656, 653, 642, 651, 670, 628, 
##     461, 456, 453, 456, 459, 446, 436, 413, 352, 177, 132, 76, 
##     388, 422, 519, 544, 563, 553, 527, 520, 502, 486, 484, 468, 
##     470, 179, 557, 573, 579, 583, 588, 631, 589, 571, 571, 573, 
##     564, 553, 543, 498, 487, 462, 368, 317, 284, 176, 110, 146, 
##     180, 360, 396, 456, 571, 581, 528, 540, 545, 526, 529, 504, 
##     504, 490, 496, 482, 467, 461, 379, 223, 139, 126, 467, 461, 
##     442, 389, 363, 336, 298, 279, 180, 154, 134, 114, 115, 122, 
##     176, 242, 254, 297, 515, 537, 546, 558, 540, 541, 520, 521, 
##     519, 518, 501, 474, 447, 403, 401, 369, 331, 306, 285, 538, 
##     521, 534, 529, 522, 523, 440, 327, 318, 279, 269, 193, 150, 
##     61, 74, 87, 181, 287, 333, 376, 404, 513, 536, 531, 511, 
##     529, 529, 521, 497, 492, 489, 446, 441, 430, 419, 412, 395, 
##     137, 100, 90, 153, 176, 185, 233, 382, 505, 535, 531, 512, 
##     496, 486, 480, 464, 471, 365, 337, 255, 151, 126, 98, 51, 
##     54, 158, 243, 507, 494, 486, 460, 366, 323, 299, 271, 236, 
##     198, 185, 202, 599, 561, 541, 479, 435, 392, 374, 342, 199, 
##     134, 213, 232, 250, 267, 286, 318, 337, 433, 493, 571, 579, 
##     587, 589, 597, 595, 594, 611, 623, 625, 640, 630, 598, 551, 
##     434, 392, 332, 300, 259, 244, 221, 176, 152, 152, 191, 208, 
##     239, 286, 409, 441, 458, 480, 545, 578, 589, 546, 569, 595, 
##     599, 596, 591, 578, 569, 563, 562, 560, 558, 558, 567, 556, 
##     546, 536, 453, 443, 403, 399, 319, 314, 193, 163, 116, 115, 
##     145, 156, 189, 352, 364, 447, 454, 466, 479, 545, 556, 573, 
##     570, 571, 558, 573, 571, 561, 563, 567, 515, 389, 375, 367, 
##     362, 335, 321, 277, 260, 257, 154, 153, 155, 148, 165, 330, 
##     350, 423, 503, 573, 551, 562, 568, 564, 562, 589, 553, 546, 
##     532, 527, 504, 154, 274, 284, 400, 422, 534, 556, 565, 616, 
##     592, 528, 517, 539, 540, 540, 554, 550, 418, 414, 201, 196, 
##     207, 209, 197, 174, 165, 140, 124, 121, 97, 73, 55, 44, 80, 
##     154, 170, 211, 231, 361, 404, 481, 520, -106, -35, 43, 43, 
##     31, 8, 11, -41, -75, -215, -322, -339, -458, -502, -530, 
##     -556, -553, -555, -522, -514, -520, -528, -507, -482, -357, 
##     -284, -55, 12, 33, 23, 16, 9, 4, -6, -19, -82, -133, -150, 
##     -189, -372, -399, -456, -510, -512, -512, -539, -552, -563, 
##     -545, -545, -544, -550, -550, -555, -558, -568, -569, -550, 
##     -35, -116, -237, -398, -424, -611, -571, -571, -585, -583, 
##     -579, -614, -595, -495, -293, -220, -143, -109, -60, -24, 
##     -6, 35, 18, -47, -48, -49, 9, -67, -77, -144, -226, -238, 
##     -255, -273, -332, -418, -492, -646, -585, -582, -622, -611, 
##     -575, -528, -510, -399, -355, -203, -95, -32, 29, 59, 84, 
##     89, 41, 20, 29, 76, 73, -3, -46, -237, -258, -426, -726, 
##     -711, -582, -595, -590, -669, -595, -506, -445, -144, -113, 
##     -55, 24, 30, 76, 82, 53, 39, 92, 49, 34, -111, -322, -344, 
##     -522, -550, -618, -665, -687, -650, -646, -641, -695, -548, 
##     -503, -329, -137, -55, 28, 101, 80, 42, 63, 76, 102, 96, 
##     -147, -165, -250, -453, -526, -632, -667, -684, -650, -630, 
##     -624, -600, -606, -597, -384, -317, -231, -173, -45, -33, 
##     38, 68, 75, 58, 50, 30, 25, 15, -5, 8, 8, 27, 17, 8, -40, 
##     -74, -176, -248, -280, -478, -519, -589, -784, -637, -609, 
##     -607, -607, -672, -690, -575, -528, -493, -439, -379, -262, 
##     -212, -176, -78, -28, 46, 101, 88, 65, 58, 47, 95, 92, 91, 
##     96, 95, 75, 29, -47, -144, -245, -314, -348, -397, -426, 
##     -621, -694, -627, -622, -626, -663, -538, 109, -15, -34, 
##     -192, -230, -255, -261, -329, -410, -454, -485, 441, 462, 
##     479, 636, 528, 465, 454, 393, 410, 453, 475, 502, 564, 486, 
##     451, 436, 436, 422, 414, 423, 424, 495, 522, 558, 600, 604, 
##     602, 608, 589, 520, 506, 487, 457, 389, 400, 382, 365, 359, 
##     399, 405, 412, 407, 405, 408, 407, 400, 410, 406, 412, 403, 
##     403, 420, 427, 421, 426, 437, 449, 564, 570, 564, 559, 547, 
##     543, 524, 424, 294, 267, 257, 232, 198, 171, 181, 168, 311, 
##     329, 395, 449, 495, 563, 508, 500, 493, 495, 490, 477, 460, 
##     460, 424, 400, 357, 341, 311, 304, 263, 217, 212, 209, 261, 
##     302, 381, 418, 507, 578, 606, 616, 626, 515, 517, 517, 510, 
##     509, 528, 547, 543, 544, 533, 521, 527, 448, 275, 257, 233, 
##     274, 450, 482, 493, 577, 605, 583, 575, 557, 563, 557, 536, 
##     547, 552, 548, 567, 559, 497, 490, 474, 455, 429, 406, 344, 
##     246, 229, 232, 259, 312, 328, 500, 484, 483, 410, 372, 359, 
##     325, 298, 259, 188, 188, 199, 244, 361, 488, 517, 536, 586, 
##     521, 504, 511, 503, 498, 490, 494, 458, 455, 383, 295, 225, 
##     217, 639, 633, 605, 455, 309, 263, 281, 284, 312, 461, 667, 
##     677, 683, 679, 668, 661, 658, 604, 604, 561, 455, 388, 357, 
##     331, 355, 362, 434, 511, 569, 601, 715, 721, 678, 671, 710, 
##     690, 677, 650, 617, 515, 403, 364, 358, 263, 248, 610, 646, 
##     664, 716, 745, 723, 680, 706, 653, 621, 601, 720, 705, 697, 
##     694, 698, 667, 604, 553, 491, 415, 415, 415, 359, 320, 287, 
##     259, 250, 607, 558, 442, 397, 360, 257, 211, 316, 419, 508, 
##     538, 601, 628, 687, 695, 680, 677, 694, 671, 637, 574, 494, 
##     231, 143, 116, 139, 193, 269, 403, 563, 723, 764, 768, 798, 
##     701, 419, 375, 364, 260, 235, 234, 230, 230, 230, 250, 348, 
##     461, 705, 753, 752, 751, 744, 662, 567, 561, 355, 291, 202, 
##     226, 262, 266, 296, 489, 489, 529, 616, 689, 763, 772, 730, 
##     716, 708, 680, 655, 468, 393, 279, 252, 622, 623, 623, 621, 
##     627, 629, 624, 619, 613, 610, 623, 617, 631, 645, 644, 647, 
##     654, 656, 662, 670, 664, 652, 647, 649, 649, 645, 649, 657, 
##     657, 648, 655, 649, 648, 649, 652, 653, 655, 659, 656, 658, 
##     664, 660, 655, 668, 656, 655, 664, 664, 651, 650, 663, 665, 
##     657, 638, 638, 636, 634, 640, 644, 647, 648, 645, 639, 646, 
##     636, 634, 632, 635, 635, 634, 619, 614, 642, 630, 630, 626, 
##     627, 658, 667, 658, 661, 660, 662, 666, 669, 665, 670, 667, 
##     664, 657, 661, 672, 672, 736, 723, 727, 760, 731, 729, 710, 
##     709, 704, 645, 609, 727, 734, 734, 763, 764, 748, 732, 698, 
##     631, 609, 603, 600, 581, 623, 618, 623, 608, 637, 672, 663, 
##     679, 685, 671, 669, 687, 674, 674, 685, 678, 724, 711, 708, 
##     721, 713, 719, 678, 669, 594, 665, 688, 693, 713, 727, 731, 
##     739, 753, 739, 745, 760, 752, 754, 783, 734, 726, 720, 710, 
##     704, 712, 706, 646, 589, 566, 495, 489, 488, 467, 511, 519, 
##     527, 538, 561, 648, 654, 654, 667, 720, 731, 733, 729, 727, 
##     723, 709, 722, 716, 697, 703, 698, 698, 694, 673, 666, 646, 
##     641, 647, 437, 419, 422, 419, 443, 452, 478, 517, 559, 626, 
##     686, 700, 716, 716, 713, 716, 687, 654, 609, 601, 614, 600, 
##     614, 608, 608, 479, 456, 450, 442, 435, 432, 425, 467, 478, 
##     522, 550, 612, 626, 638, 598, 585, 566, 533, 524, 536, 568, 
##     609, 589, 560, 530, 522, 503, 469, 475, 471, 469, 467, 478, 
##     474, 493, 508, 541, 595, 623, 644, 665, 599, 564, 569, 536, 
##     560, 568, 629, 624, 605, 588, 598, 612, 601, 591, 556, 551, 
##     539, 628, 543, 529, 511, 494, 472, 465, 452, 450, 451, 460, 
##     463, 473, 477, 500, 524, 570, 577, 587, 615, 649, 628, 614, 
##     617, 707, 703, 681, 650, 580, 525, 469, 464, 450, 448, 431, 
##     440, 434, 448, 447, 422, 425, 398, 393, 397, 749, 747, 751, 
##     741, 744, 743, 741, 752, 757, 757, 769, 768, 777, 783, 798, 
##     795, 803, 801, 520, 516, 514, 496, 478, 502, 520, 530, 536, 
##     550, 587, 641, 466, 463, 478, 491, 494, 507, 510, 585, 573, 
##     689, 753, 760, 754, 744, 736, 745, 750, 733, 745, 734, 738, 
##     743, 746, 753, 741, 584, 554, 537, 524, 519, 528, 538, 541, 
##     588, 630, 645, 612, 601, 552, 525, 534, 519, 522, 457, 432, 
##     396, 419, 440, 469, 491, 547, 569, 569, 573, 580, 626, 636, 
##     650, 664, 674, 718, 710, 720, 714, 707, 696, 673, 584, 582, 
##     491, 501, 533, 561, 612, 617, 641, 658, 651, 625, 614, 602, 
##     597, 598, 603, 594, 556, 567, 581, 591, 580, 582, 585, 572, 
##     580, 591, 613, 647, 596, 585, 592, 609, 643, 629, 607, 580, 
##     554, 504, 485, 470, 451, 448, 440, 447, 448, 457, 479, 484, 
##     485, 540, 556, 474, 486, 489, 493, 527, 540, 518, 491, 490, 
##     524, 550, 599, 612, 614, 595, 587, 551, 527, 500, 497, 479, 
##     475, 608, 602, 593, 595, 599, 595, 576, 607, 627, 632, 637, 
##     607, 569, 556, 510, 517, 521, 532, 539, 522, 468, 315, 291, 
##     248, 185, 177, 153, 67, 21, 79, 95, 104, 129, 284, 290, 257, 
##     204, 204, 187, 175, 173, 125, 120, 118, 102, 106, 119, 124, 
##     136, 162, 170, 199, 293, 317, 447, 464, 554, 536, 568, 576, 
##     533, 403, 216, 237, 253, 259, 310, 444, 513, 557, 574, 621, 
##     647, 657, 664, 676, 674, 666, 671, 663, 651, 605, 462, 442, 
##     439, 450, 456, 482, 491, 485, 640, 575, 574, 565, 584, 607, 
##     638, 632, 524, 516, 524, 539, 514, 490, 472, 477, 478, 582, 
##     601, 627, 639, 653, 662, 678, 674, 686, 675, 663, 653, 639, 
##     600, 589, 587, 660, 648, 658, 665, 657, 663, 665, 661, 661, 
##     674, 249, 302, 411, 440, 501, 550, 573, 633, 654, 671, 670, 
##     619, 623, 624, 593, 602, 421, 734, 745, 754, 707, 717, 719, 
##     710, 540, 450, 419, 394, 365, 322, 283, 270, 285, 285, 301, 
##     301, 503, 582, 691, 702, 701, 716, -272, -175, -131, -125, 
##     69, 43, 38, 33, 40, 2, -86, -177, -514, -708, -715, -683, 
##     -583, -582, -568, -573, -570, -580, -599, -658, -659, -634, 
##     -455, -349, -581, -376, -311, -245, -101, -70, -20, 110, 
##     133, 120, 119, 80, 32, -2, 3, 16, 20, 41, -29, -137, -186, 
##     -232, -314, -384, -478, -567, -583, -639, -650, -566, -560, 
##     -563, -559, -577, -499, -447, -399, -366, -199, -44, 7, -18, 
##     -30, -19, 7, 14, 32, 13, 195, 152, 19, 13, 33, 73, 125, 278, 
##     371, 484, 552, 557, 536, 530, 70, 139, 188, 281, 527, 581, 
##     605, 597, 563, 512, 518, 508, 491, 495, 403, 398, 389, 354, 
##     209, 93, 69, 451, 418, 417, 427, 440, 500, 525, 549, 602, 
##     651, 663, 678, 677, 689, 684, 331, 320, 247, 246, 228, 211, 
##     198, 205, 231, 243, 271, 294, 329, 460, 591, 584, 575, 358, 
##     392, 426, 462, 480, 516, 581, 600, 615, 512, 515, 508, 514, 
##     508, 506, -855, -843, -831, -792, -723, -736, -751, -755, 
##     -701, -688, -574, -497, -491, -474, -379, -366, -359, -304, 
##     -287, -297, -280, -271, -250, -250, -250, 777, -126, -137, 
##     -131, -134, -118, -74, 103, 277, 445, 545, 577, 624, 650, 
##     740, 784, 849, 848, 845, 838, 810, 791, 693, 612, 408, 430, 
##     450, 518, 570, 598, 646, 656, 664, 663, 634, 585, 429, 226, 
##     156, 108, 15, -9, -57, -71, -42, -18, -15, 3, 65, 80, 148, 
##     205, 453, 709, 836, 851, 967, 930, 866, 780, 700, 696, 495, 
##     490, 619, 654, 679, 686, 720, 740, 715, 687, 670, 642, 578, 
##     531, 493, 474, 415, 350, 279, 188, 75, 28, -22, -79, -78, 
##     -22, 28, 53, 154, 207, 223, 420, 452, 514, 401, 488, 544, 
##     571, 591, 654, 653, 647, 626, 555, 527, 517, 517, 524, 508, 
##     504, 491, 505, 519, 520, 522, 530, 528, 533, 531, 533, 523, 
##     532, 522, 521, 523, 523, 541, 553, 554, 568, 575, 566, 579, 
##     580, 580, 544, 318, 282, 256, 56, 5, -6, -33, -63, -144, 
##     -174, -262, -214, -214, -223, -186, -156, -55, 2, 119, 277, 
##     755, 824, 806, 680, 618, 536, 536, 541, 543, 551, 553, 545, 
##     503, 381, 352, 180, 140, 111, 56, -48, -231, -241, -205, 
##     -198, -186, -165, -98, -20, 278, 344, 461, 535, 561, 660, 
##     658, 649, 649, 624, 591, 564, 555, -33, -28, 666, 636, 583, 
##     521, 525, 566, 219, -108, -199, -104, -82, -17, 92, 165, 
##     216, 393, 457, 607, 631, 676, 689, 698, 708, 703, 674, 623, 
##     629, 634, 543, 470, 351, 95, 25, -39, -202, -250, -250, -183, 
##     -140, -102, -43, 73, 173, 237, 312, 335, 164, 24, -72, -194, 
##     -203, -168, -126, -111, -75, -60, 24, 341, 364, 469, 574, 
##     691, 688, 611, 581, 573, 567, 578, 610, 687, 336, 253, -11, 
##     -133, -115, 72, 148, 291, 371, 585, 530, 391, 391, 398, 438, 
##     456, 517, 548, 562, 499, 440, 418, -9, -47, -89, -4, 28, 
##     147, 288, 367, 408, 420, 446, 466, 476, 646, 670, 636, 633, 
##     612, 596, 534, 493, 588, 603, 604, 575, 559, 471, 395, 286, 
##     189, -25, -239, -220, -226, -115, -57, -46, 37, 97, 182, 
##     208, 251, 326, 455, 550, 689, 666, 670, 632, 620, 552, 534, 
##     532, 541, 564, 572, 591, 595, 598, 589, 600, 590, 584, 584, 
##     577, 576, 573, 573, 572, 616, 624, 638, 653, 652, 675, 717, 
##     730, 715, 716, 720, 710, 724, 727, 719, 694, 706, 702, 711, 
##     726, 747, 460, 477, 531, 499, 501, 476, 478, 484, 474, 469, 
##     468, 436, 306, 122, 63, 123, 281, 419, 466, 567, 588, 608, 
##     623, 648, 655, 645, 681, 680, 703, 749, 714, 699, 659, 653, 
##     644, 648, 654, 683, 688, 690, 687, 692, 599, 426, 367, 134, 
##     36, -407, -362, -334, -257, -111, 85, 257, 520, 536, 586, 
##     614, 616, 632, 601, 575, 572, 612, 622, 630, 410, 194, 73, 
##     -167, -264, -300, -400, -297, -235, 87, 541, 709, 733, 744, 
##     562, 578, 586, 607, 603, 606, 558, 541, 532, 516, 487, 409, 
##     389, 371, 371, 339, 325, 235, 235, 191, 177, 167, 169, 154, 
##     140, 195, 236, 271, 326, 341, 435, 421, 411, 422, 494, 549, 
##     582, 599, 599, 559, 565, 573, 588, 582, 568, 207, 191, 175, 
##     154, 145, 42, 43, 37, 68, 75, 148, 163, 166, 193, 214, 234, 
##     242, 250, 261, 281, 439, 493, 530, 524, 484, 481, 471, 473, 
##     498, 508, 510, 519, 497, 494, 497, 491, 454, 436, 429, 428, 
##     423, 436, 440, 450, 437, 427, 404, 432, 469, 507, 511, 556, 
##     569, 583, 582, 586, 585, 554, 494, 265, 196, 130, 81, -78, 
##     -75, -72, -58, -39, -12, 21, 94, 199, 247, 351, 391, 477, 
##     497, 518, 520, 537, 474, 469, 454, 457, 454, 448, 471, 524, 
##     532, 544, 550, 542, 607, 620, 556, 508, 406, 370, 239, 115, 
##     38, -8, 6, 21, 62, 101, 132, 273, 403, 538, 569, 501, 478, 
##     480, 485, 487, 495, 520, 521, 541, 535, 547, 527, 437, 374, 
##     318, 265, 46, -81, -54, -38, -7, 30, 64, 162, 307, 359, 405, 
##     422, 501, 517, 497, 486, 467, 473, 492, 511, 527, 574, 553, 
##     549, 585, 597, 630, 417, 327, 182, 150, 79, 6, -48, -61, 
##     -58, -30, 7, 10, 120, 172, 200, 208, 231, 334, 359, 418, 
##     439, 447, 493, 477, 434, 439, 454, 480, 478, 481, 480, 483, 
##     466, 367, 373, 399, 406, 499, 415, 363, 324, 223, 139, 117, 
##     88, -2, -45, -49, -60, -67, -77, -85, -76, -67, -34, -14, 
##     1, 19, 52, 58, 90, 611, 598, 593, 594, 604, 611, 709, 690, 
##     613, 492, 463, 356, 236, 151, 116, 104, 15, -48, -49, -40, 
##     -42, 28, 48, 77, 112, 127, 185, 308, 368, 452, 462, 512, 
##     529, 483, 415, 412, 401, 404, 408, 408, 367, 363, 343, 351, 
##     377, 408, 489, 511, 520, 504, 468, 367, 304, 275, 223, 120, 
##     65, 16, -89, -69, -52, -36, -23, 23, 50, 209, 233, 400, 551, 
##     565, 581, 581, 517, 492, 472, 466, 440, 419, 409, 420, 458, 
##     477, 492, 465, 440, 374, 476, 376, 346, 324, 113, 71, 49, 
##     -18, -31, -37, -21, -19, -12, 8, 103, 126, 136, 168, 211, 
##     245, 478, 501, 482, 491, 634, 550, 533, 524, 509, 515, 529, 
##     540, 553, 544, 557, 567, 566, 565, 543, 295, 151, 115, 92, 
##     -48, -58, 5, 46, 67, 88, 91, 151, 380, 412, 416, 416, 456, 
##     511, 498, 475, 455, 438, -551, -568, -562, -544, -534, -531, 
##     -488, -489, -505, -513, -530, -532, -533, -533, -526, -538, 
##     -528, -548, -544, -557, -553, -552, -560, -542, -549, -540, 
##     -513, -497, -292, 55, 84, 181, 181, 174, 184, 190, 164, 146, 
##     125, -134, -149, -139, -131, -114, -48, 104, 115, 122, 114, 
##     -112, 138, 147, 142, 138, 183, 88, 44, 19, -31, -167, -187, 
##     -165, -154, -128, -115, 43, 81, 87, 134, 140, 148, 136, 133, 
##     137, 133, 127, 131, 137, 58, 37, 7, -167, -175, -208, -208, 
##     -205, -158, -149, -52, -2, 122, 132, 119, 100, 127, 142, 
##     147, 137, 117, 101, 86, 55, -202, -270, -318, -332, -382, 
##     -372, -378, -346, -327, -266, -208, -34, 28, 27, 153, 148, 
##     134, 149, 106, 44, 35, 5, -14, -32, -51, -117, -124, -147, 
##     -178, -125, -125, -68, 23, 102, 96, 97, 88, 97, 77, 67, 55, 
##     34, 11, 56, 64, 105, 117, 86, 81, 61, 37, -53, -51, -97, 
##     -90, -101, -72, 111, 135, -103, -90, -77, -67, -63, -39, 
##     52, 73, 91, 76, 81, 71, 67, 56, 53, 68, 106, 104, 102, 104, 
##     95, 85, 2, -14, -8, -39, -45, -70, -99, -97, -63, -63, -19, 
##     -1, 93, 122, 134, 165, 160, 57, 57, 20, 38, 81, 113, 107, 
##     79, 69, 55, -69, -123, -177, -211, -306, -331, -375, -481, 
##     -595, -761, -813, -872, -894, -933, -926, -950, -927, -932, 
##     -946, -943, -949, -951, -956, -951, -953, -949, -949, -956, 
##     -962, -953, -956, -954, -955, -960, -959, -953, -950, -945, 
##     -938, -934, -945, -957, -973, -955, -949, -924, 665, 667, 
##     672, 681, 672, 676, 677, 674, 677, 667, 672, 663, 668, 665, 
##     671, 689, 690, 691, 696, 710, 718, 713, 707, 698, 715, 757, 
##     743, 744, 732, 721, 436, 306, 77, 319, 422, 792, 873, 868, 
##     843, 799, 738, 728, 724, 757, 782, 798, 812, 800, 784, 661, 
##     572, 295, 222, 145, 103, 83, 83, 126, 142, 173, 796, 833, 
##     833, 823, 800, 726, 722, 737, 823, 813, 752, 700, 233, 200, 
##     197, 244, 382, 531, 659, 814, 919, 942, 955, 942, 906, 828, 
##     804, 760, 749, 747, 744, 752, 752, 775, 792, 808, 793, 778, 
##     727, 615, 580, 220, 180, 223, 223, 307, 567, 616, 776, 866, 
##     876, 884, 715, 705, 802, 836, 840, 427, 366, 300, 271, 271, 
##     257, 264, 303, 474, 560, 800, 821, 892, 881, 813, 782, 740, 
##     723, 728, 785, 843, 838, 838, 827, 797, 773, 651, 592, 388, 
##     347, 347, 304, 267, 265, 254, 250, 259, 469, 690, 723, 790, 
##     903, 936, 834, 737, 740, 714, 685, 593, 447, 248, 121, 118, 
##     130, 300, 366, 801, 863, 868, 870, 819, 729, 715, 736, 971, 
##     880, 771, 769, 756, 754, 832, 873, 886, 900, 882, 855, 838, 
##     717, 593, 194, 159, 153, 154, 325, 491, 558, 745, 855, 848, 
##     830, 798, 771, 890, 885, 881, 818, 726, 723, 713, 749, 757, 
##     776, 792, 795, 797, 794, 790, 797, 791, 800, 795, 792, 799, 
##     794, 796, 794, 785, 799, 793, 798, 792, 802, 805, 803, 800, 
##     806, 807, 804, 807, 809, 563, 555, 552, 554, 551, 572, 601, 
##     591, 534, 500, 485, 492, 477, 483, 490, 498, 500, 507, 509, 
##     536, 562, 563, 581, 572, 592, 623, 617, 606, 607, 604, 603, 
##     590, 577, 565, 564, 566, 562, 567, 561, 575, 579, 569, 568, 
##     564, 553, 546, 521, 479, 407, 401, 390, 393, 438, 446, 477, 
##     525, 565, 580, 615, 643, 636, 641, 636, 639, 646, 660, 680, 
##     666, 649, 651, 633, 655, 601, 599, 587, 576, 538, 534, 512, 
##     545, 580, 452, 455, 460, 476, 486, 501, 510, 615, 614, 679, 
##     684, 679, 654, 640, 619, 605, 586, 560, 564, 567, 556, 540, 
##     539, 543, 541, 543, 561, 559, 553, 557, 547, 545, 555, 542, 
##     533, 525, 466, 460, 398, 398, 407, 439, 447, 455, 476, 476, 
##     494, 601, 618, 640, 659, 669, 696, 608, 592, 575, 563, 569, 
##     565, 545, 535, 505, 512, 526, 528, 552, 566, 516, 542, 585, 
##     617, 637, 651, 653, 624, 614, 622, 600, 580, 549, 548, 551, 
##     541, 573, 570, 527, 483, 459, 414, 273, 270, 277, 288, 299, 
##     306, 305, 320, 319, 339, 338, 405, 521, 633, 772, 807, 883, 
##     1020, 977, 894, 855, 828, 768, 736, 709, 685, 672, 643, 574, 
##     584, 595, 596, 608, 619, 618, 624, 624, 626, 632, 639, 646, 
##     638, 647, 645, 630, 612, 607, 592, 577, 564, 523, 512, 511, 
##     506, 501, 455, 446, 447, 433, 419, 424, 425, 407, 410, 401, 
##     396, 401, 421, 438, 539, 644, 651, 690, 677, 601, 525, 383, 
##     323, 209, 152, 20, -16, -42, -65, -58, -43, -28, 1, 28, 128, 
##     185, 773, 585, 564, 519, 440, 688, 682, 677, 263, 517, 545, 
##     611, 661, 686, 741, 822, 861, 829, 825, 607, 588, 583, 570, 
##     560, 551, 536, 539, 528, 527, 525, 525, 529, 547, 545, 574, 
##     558, 553, 548, 536, 524, 453, 424, 360, 343, 339, 344, 379, 
##     432, 332, -30, -261, -250, -19, 49, 161, 503, 547, 592, 674, 
##     690, 648, 608, 594, 602, 628, 700, 715, 725, 690, 658, 656, 
##     672, 701, 705, 703, 666, 654, 555, 492, 258, 195, 146, 66, 
##     -109, -159, -185, -211, -196, -188, -152, 679, 671, 738, 
##     733, 732, 658, 643, 623, 608, 607, 666, 667, 647, 612, 603, 
##     586, 522, 210, -235, -28, 6, 167, 214, 468, 645, 614, 604, 
##     664, 707, 735, 716, 611, 614, 616, 723, 735, 735, 733, 729, 
##     712, 694, 626, 607, 620, 658, 664, 659, 640, 697, 652, 662, 
##     700, 704, 658, 649, 625, 602, 600, 597, 608, 628, 634, 647, 
##     650, 670, 647, 591, 585, 550, -21, -74, -188, -279, -268, 
##     -201, -104, 4, 414, 552, 558, -372, -254, -46, 582, 651, 
##     716, 706, 701, 676, 691, 711, 714, 730, 764, 769, 770, 767, 
##     772, 773, 780, 794, 787, 791, 783, 778, 788, 786, 816, 810, 
##     824, 827, 832, 835, 836, 836, 839, 846, 851, 860, 863, 855, 
##     863, 866, 862, 854, 814, 818, 813, 796, 805, 798, 790, 790, 
##     795, 786, 776, 125, 132, 171, 210, 617, 641, 619, 592, 597, 
##     586, 573, 573, 548, 500, 567, 575, 599, 787, 794, 799, 797, 
##     796, 793, 792, 791, 790, 792, 794, 792, 798, 798, 808, 805, 
##     808, 726, 725, 714, 750, 753, 776, 761, 461, 398, 361, 189, 
##     131, 96, 102, 772, 833, 871, 856, 826, 781, 781, 687, 655, 
##     501, 464, 323, 294, 173, 267, 404, 636, 861, 887, 729, 746, 
##     704, 720, 680, 683, 668, 678, 688, 678, 678, 679, 700, 715, 
##     -959, -960, -953, -954, -960, -962, -959, -964, -966, -957, 
##     -966, -948, -953, -960, 127, 121, 78, 53, 106, 114, 71, 64, 
##     42, -58, -76, -79, -81, -86, -78, -101, -108, 127, 136, 96, 
##     81, 25, -2, -58, -147, -216, -253, -289, -186, 487, 504, 
##     618, 600, 547, 579, 638, 525, 499, 475, 415, 323, 114, 85, 
##     32, -207, -326, -376, -380, 574, 467, 386, 310, 137, 78, 
##     -49, -140, -238, 14, 56, 137, 530, 650, 660, 676, 682, 687, 
##     546, 371, 341, 288, 206, -218, -216, -87, -11, 107, 505, 
##     693, 601, 546, 521, 314, 175, -107, -219, -207, -141, -120, 
##     -63, 332, 760, 759, 732, 705, 707, 702, 634, 644, 657, 695, 
##     704, 730, 713, 651, 612, 538, 479, 468, 449, 453, 522, 513, 
##     496, 483, 374, 253, 312, 80, 55, -88, -171, -165, -107, -89, 
##     148, 280, 502, 606, 638, 660, 522, 759, 763, 683, 571, 551, 
##     552, 551, 581, 602, 619, 658, 641, 615, 485, 568, 602, 580, 
##     568, 560, 558, 527, 459, 233, 192, -53, -78, -117, -167, 
##     -251, -286, -266, -259, -177, -132, -117, -108, 803, 905, 
##     777, 700, 684, 630, 460, 620, 596, 555, 540, 431, 173, 27, 
##     6, -36, -98, -110), .outcome = c(1, 1, 1, 1, 1, 1, 1, 1, 
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##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
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##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5)), control = list(minsplit = 20, minbucket = 7, 
##     cp = 0, maxcompete = 4, maxsurrogate = 5, usesurrogate = 2, 
##     surrogatestyle = 0, maxdepth = 30, xval = 0))
##   n= 11776 
## 
##           CP nsplit rel error
## 1 0.11722829      0 1.0000000
## 2 0.04224015      1 0.8827717
## 3 0.03998576      6 0.6715710
## 
## Variable importance
##            roll_belt        pitch_forearm         accel_belt_z 
##                   18                   12                   10 
##     total_accel_belt             yaw_belt           pitch_belt 
##                    9                    6                    6 
##        magnet_belt_z    magnet_dumbbell_y    magnet_dumbbell_z 
##                    5                    5                    5 
##        magnet_belt_y      accel_forearm_x     accel_dumbbell_x 
##                    4                    3                    2 
## total_accel_dumbbell         accel_belt_x     accel_dumbbell_y 
##                    2                    2                    2 
##        roll_dumbbell    magnet_dumbbell_x              yaw_arm 
##                    2                    2                    2 
##     accel_dumbbell_z  total_accel_forearm 
##                    1                    1 
## 
## Node number 1: 11776 observations,    complexity param=0.1172283
##   predicted class=A  expected loss=0.7156929  P(node) =1
##     class counts:  3348  2279  2054  1930  2165
##    probabilities: 0.284 0.194 0.174 0.164 0.184 
##   left son=2 (10776 obs) right son=3 (1000 obs)
##   Primary splits:
##       roll_belt        < 130.5    to the left,  improve=905.4252, (0 missing)
##       pitch_forearm    < -33.95   to the left,  improve=652.9416, (0 missing)
##       accel_belt_z     < -186.5   to the right, improve=551.5419, (0 missing)
##       magnet_belt_y    < 555.5    to the right, improve=511.9966, (0 missing)
##       total_accel_belt < 20.5     to the left,  improve=457.9652, (0 missing)
##   Surrogate splits:
##       accel_belt_z     < -186.5   to the right, agree=0.966, adj=0.605, (0 split)
##       total_accel_belt < 20.5     to the left,  agree=0.959, adj=0.516, (0 split)
##       magnet_belt_z    < -448.5   to the right, agree=0.934, adj=0.221, (0 split)
##       magnet_belt_y    < 553.5    to the right, agree=0.933, adj=0.211, (0 split)
##       accel_belt_x     < 55.5     to the left,  agree=0.924, adj=0.104, (0 split)
## 
## Node number 2: 10776 observations,    complexity param=0.04224015
##   predicted class=A  expected loss=0.6898664  P(node) =0.9150815
##     class counts:  3342  2279  2054  1930  1171
##    probabilities: 0.310 0.211 0.191 0.179 0.109 
##   left son=4 (956 obs) right son=5 (9820 obs)
##   Primary splits:
##       pitch_forearm     < -33.95   to the left,  improve=616.6093, (0 missing)
##       roll_forearm      < 122.5    to the left,  improve=361.3491, (0 missing)
##       magnet_arm_x      < -322.5   to the left,  improve=358.1205, (0 missing)
##       magnet_dumbbell_y < 436.5    to the left,  improve=339.1031, (0 missing)
##       accel_arm_x       < -270.5   to the left,  improve=337.8856, (0 missing)
##   Surrogate splits:
##       accel_forearm_x      < 221.5    to the right, agree=0.934, adj=0.251, (0 split)
##       accel_dumbbell_x     < -199.5   to the left,  agree=0.930, adj=0.208, (0 split)
##       total_accel_dumbbell < 36.5     to the right, agree=0.929, adj=0.203, (0 split)
##       yaw_arm              < -160.5   to the left,  agree=0.923, adj=0.133, (0 split)
##       accel_dumbbell_z     < -220.5   to the left,  agree=0.922, adj=0.126, (0 split)
## 
## Node number 3: 1000 observations
##   predicted class=E  expected loss=0.006  P(node) =0.08491848
##     class counts:     6     0     0     0   994
##    probabilities: 0.006 0.000 0.000 0.000 0.994 
## 
## Node number 4: 956 observations
##   predicted class=A  expected loss=0.007322176  P(node) =0.08118207
##     class counts:   949     7     0     0     0
##    probabilities: 0.993 0.007 0.000 0.000 0.000 
## 
## Node number 5: 9820 observations,    complexity param=0.04224015
##   predicted class=A  expected loss=0.7563136  P(node) =0.8338995
##     class counts:  2393  2272  2054  1930  1171
##    probabilities: 0.244 0.231 0.209 0.197 0.119 
##   left son=10 (478 obs) right son=11 (9342 obs)
##   Primary splits:
##       yaw_belt          < 169.5    to the right, improve=274.7506, (0 missing)
##       roll_forearm      < 125.5    to the left,  improve=273.5663, (0 missing)
##       magnet_dumbbell_y < 439.5    to the left,  improve=272.6909, (0 missing)
##       roll_dumbbell     < 63.52522 to the left,  improve=246.0879, (0 missing)
##       magnet_dumbbell_z < -95.5    to the left,  improve=226.8183, (0 missing)
##   Surrogate splits:
##       pitch_belt      < -43.55   to the left,  agree=0.960, adj=0.176, (0 split)
##       pitch_arm       < 82.3     to the right, agree=0.953, adj=0.033, (0 split)
##       magnet_arm_y    < 493      to the right, agree=0.953, adj=0.027, (0 split)
##       gyros_forearm_x < 1.95     to the right, agree=0.952, adj=0.010, (0 split)
##       gyros_arm_z     < -2.08    to the left,  agree=0.951, adj=0.002, (0 split)
## 
## Node number 10: 478 observations
##   predicted class=A  expected loss=0.09832636  P(node) =0.04059103
##     class counts:   431    22     0    20     5
##    probabilities: 0.902 0.046 0.000 0.042 0.010 
## 
## Node number 11: 9342 observations,    complexity param=0.04224015
##   predicted class=B  expected loss=0.7591522  P(node) =0.7933084
##     class counts:  1962  2250  2054  1910  1166
##    probabilities: 0.210 0.241 0.220 0.204 0.125 
##   left son=22 (1104 obs) right son=23 (8238 obs)
##   Primary splits:
##       magnet_dumbbell_z < -93.5    to the left,  improve=267.0306, (0 missing)
##       magnet_dumbbell_y < 439.5    to the left,  improve=245.8015, (0 missing)
##       pitch_belt        < -42.95   to the left,  improve=241.2872, (0 missing)
##       roll_dumbbell     < 59.05733 to the left,  improve=222.9433, (0 missing)
##       roll_belt         < -0.325   to the right, improve=208.3638, (0 missing)
##   Surrogate splits:
##       magnet_dumbbell_y   < -578.5   to the left,  agree=0.902, adj=0.175, (0 split)
##       total_accel_forearm < 6.5      to the left,  agree=0.895, adj=0.113, (0 split)
##       accel_dumbbell_y    < -75.5    to the left,  agree=0.894, adj=0.105, (0 split)
##       accel_arm_x         < -294.5   to the left,  agree=0.885, adj=0.024, (0 split)
##       gyros_belt_x        < -0.6     to the left,  agree=0.885, adj=0.023, (0 split)
## 
## Node number 22: 1104 observations
##   predicted class=A  expected loss=0.4048913  P(node) =0.09375
##     class counts:   657   311    47    64    25
##    probabilities: 0.595 0.282 0.043 0.058 0.023 
## 
## Node number 23: 8238 observations,    complexity param=0.04224015
##   predicted class=C  expected loss=0.7563729  P(node) =0.6995584
##     class counts:  1305  1939  2007  1846  1141
##    probabilities: 0.158 0.235 0.244 0.224 0.139 
##   left son=46 (491 obs) right son=47 (7747 obs)
##   Primary splits:
##       pitch_belt        < -42.95   to the left,  improve=246.4203, (0 missing)
##       magnet_dumbbell_y < 285.5    to the left,  improve=229.4608, (0 missing)
##       roll_dumbbell     < 59.05733 to the left,  improve=217.7015, (0 missing)
##       accel_dumbbell_y  < -40.5    to the right, improve=215.3623, (0 missing)
##       magnet_dumbbell_x < -446.5   to the right, improve=199.5869, (0 missing)
##   Surrogate splits:
##       yaw_belt        < 166.5    to the right, agree=0.949, adj=0.151, (0 split)
##       accel_belt_x    < 50.5     to the right, agree=0.947, adj=0.104, (0 split)
##       accel_forearm_y < 477.5    to the right, agree=0.943, adj=0.043, (0 split)
##       pitch_arm       < -76      to the left,  agree=0.942, adj=0.035, (0 split)
##       magnet_belt_x   < 190.5    to the right, agree=0.942, adj=0.031, (0 split)
## 
## Node number 46: 491 observations
##   predicted class=B  expected loss=0.1527495  P(node) =0.04169497
##     class counts:     7   416    41    13    14
##    probabilities: 0.014 0.847 0.084 0.026 0.029 
## 
## Node number 47: 7747 observations,    complexity param=0.04224015
##   predicted class=C  expected loss=0.7462243  P(node) =0.6578635
##     class counts:  1298  1523  1966  1833  1127
##    probabilities: 0.168 0.197 0.254 0.237 0.145 
##   left son=94 (3437 obs) right son=95 (4310 obs)
##   Primary splits:
##       magnet_dumbbell_y < 290.5    to the left,  improve=222.6960, (0 missing)
##       accel_forearm_x   < -101.5   to the right, improve=217.1037, (0 missing)
##       roll_belt         < 117.5    to the left,  improve=211.4152, (0 missing)
##       magnet_dumbbell_x < -446.5   to the right, improve=211.2836, (0 missing)
##       accel_dumbbell_y  < -40.5    to the right, improve=209.0459, (0 missing)
##   Surrogate splits:
##       roll_dumbbell     < 51.35496 to the left,  agree=0.770, adj=0.482, (0 split)
##       magnet_dumbbell_x < -548.5   to the left,  agree=0.720, adj=0.370, (0 split)
##       accel_dumbbell_y  < 2.5      to the left,  agree=0.715, adj=0.357, (0 split)
##       magnet_belt_z     < -344.5   to the left,  agree=0.705, adj=0.335, (0 split)
##       roll_belt         < 120.5    to the right, agree=0.700, adj=0.324, (0 split)
## 
## Node number 94: 3437 observations
##   predicted class=C  expected loss=0.5952866  P(node) =0.2918648
##     class counts:   668   401  1391   555   422
##    probabilities: 0.194 0.117 0.405 0.161 0.123 
## 
## Node number 95: 4310 observations
##   predicted class=D  expected loss=0.7034803  P(node) =0.3659986
##     class counts:   630  1122   575  1278   705
##    probabilities: 0.146 0.260 0.133 0.297 0.164

plot(modtree$finalModel)
text(modtree$finalModel, pretty = 1)

predtree <- predict(modtree, inTest)
confusionMatrix(predtree, inTest$classe)

## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    A    B    C    D    E
##          A 1356  239   42   68   20
##          B    5  264   34    8    6
##          C  441  263  907  397  269
##          D  422  752  385  813  510
##          E    8    0    0    0  637
## 
## Overall Statistics
##                                          
##                Accuracy : 0.5069         
##                  95% CI : (0.4958, 0.518)
##     No Information Rate : 0.2845         
##     P-Value [Acc > NIR] : < 2.2e-16      
##                                          
##                   Kappa : 0.3865         
##  Mcnemar's Test P-Value : < 2.2e-16      
## 
## Statistics by Class:
## 
##                      Class: A Class: B Class: C Class: D Class: E
## Sensitivity            0.6075  0.17391   0.6630   0.6322  0.44175
## Specificity            0.9343  0.99162   0.7885   0.6846  0.99875
## Pos Pred Value         0.7861  0.83281   0.3983   0.2821  0.98760
## Neg Pred Value         0.8569  0.83344   0.9172   0.9047  0.88821
## Prevalence             0.2845  0.19347   0.1744   0.1639  0.18379
## Detection Rate         0.1728  0.03365   0.1156   0.1036  0.08119
## Detection Prevalence   0.2199  0.04040   0.2902   0.3673  0.08221
## Balanced Accuracy      0.7709  0.58277   0.7258   0.6584  0.72025

Overall accuracy is poor at 0.51.

set.seed(321)
modrf <-randomForest(classe ~., data = inTrain, ntree = 500)
modrf

## 
## Call:
##  randomForest(formula = classe ~ ., data = inTrain, ntree = 500) 
##                Type of random forest: classification
##                      Number of trees: 500
## No. of variables tried at each split: 7
## 
##         OOB estimate of  error rate: 0.69%
## Confusion matrix:
##      A    B    C    D    E class.error
## A 3343    2    1    1    1 0.001493429
## B   10 2264    5    0    0 0.006581834
## C    1   19 2029    5    0 0.012171373
## D    1    0   24 1903    2 0.013989637
## E    0    0    2    7 2156 0.004157044

varImpPlot(modrf, cex = 0.5)

pred <- predict(modrf, inTest)
confusionMatrix(pred, inTest$classe)

## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    A    B    C    D    E
##          A 2230    9    0    0    0
##          B    2 1506    9    0    0
##          C    0    3 1357   12    3
##          D    0    0    2 1274    4
##          E    0    0    0    0 1435
## 
## Overall Statistics
##                                           
##                Accuracy : 0.9944          
##                  95% CI : (0.9925, 0.9959)
##     No Information Rate : 0.2845          
##     P-Value [Acc > NIR] : < 2.2e-16       
##                                           
##                   Kappa : 0.9929          
##  Mcnemar's Test P-Value : NA              
## 
## Statistics by Class:
## 
##                      Class: A Class: B Class: C Class: D Class: E
## Sensitivity            0.9991   0.9921   0.9920   0.9907   0.9951
## Specificity            0.9984   0.9983   0.9972   0.9991   1.0000
## Pos Pred Value         0.9960   0.9927   0.9869   0.9953   1.0000
## Neg Pred Value         0.9996   0.9981   0.9983   0.9982   0.9989
## Prevalence             0.2845   0.1935   0.1744   0.1639   0.1838
## Detection Rate         0.2842   0.1919   0.1730   0.1624   0.1829
## Detection Prevalence   0.2854   0.1933   0.1752   0.1631   0.1829
## Balanced Accuracy      0.9988   0.9952   0.9946   0.9949   0.9976

pred1 <- predict(modrf, test1)
pred1

##  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 
##  B  A  B  A  A  E  D  B  A  A  B  C  B  A  E  E  A  B  B  B 
## Levels: A B C D E